suppose that 47% of americans are iphone users. (a) if a random sample of 100 americans are surveyed, what is the probability that the proportion of the sample who are iphone users is between 45% and 50%? (b) if a random sample of 50 americans are surveyed, what is the probability that more than 50% of americans are iphone users?

Answers

Answer 1

The probability that the proportion of the sample who are iphone users is between 45% and 50% be 22.87%.

The probability that more than 50% of americans are iphone users be 11.12%.

(a)We know, p = 0.47 and n = 100. First, we should check our conditions for the sampling distribution of the sample proportion.

np = (100)(0.47) = 47 and n(1 - p) = (100)(1 - 0.47) = 53

Since, X will have a sampling distribution that is approximately normal with mean = 0.47

and

standard deviation =  √(0.47)(0.53)/100 ≈ 0.05

P(0.45<X<0.50) = P((0.45 - 0.47)/0.05 < Z < (0.50-0.47)/0.05)

P(0.45<X<0.50)  ≈ 0.2287

Therefore, if the true proportion of Americans who own an iPhone is 47%, then there would be a 22.87% chance that we would see a sample proportion between 45% and 50% when the sample size is 100.

(b) Now, p = 0.47 and n = 50.

np = (50)(0.47) = 23.5 and n(1 - p) = (50)(1 - 0.47) = 26.5

Since, X will have a sampling distribution that is approximately normal with mean = 0.47

and

standard deviation =  √(0.47)(26.5)/50 ≈ 0.25

P(X>0.50) = P(Z > (0.50-0.47)/0.25)

P(X>0.50)  ≈ 0.1112

Therefore, if the true proportion of Americans who own an iPhone is 47%, then there would be a 11.12% chance that we would see a sample proportion more than 50% when the sample size is 50.

Learn more about Probability here https://brainly.com/question/13604758

#SPJ4


Related Questions

Sam catches a sale on airline tickets that are being discounted 15%. He purchases a flight that normally costs $235. What is the new price of the flight?

Answers

The new price of the flight is $208.25

How to determine the new price of the flight?

In this question, we have the following parameters

Discount proportion = 15%

Cost of flight = $245

This means that

New price = Cost of flight x (1 - Discount proportion)

Substitute the known values in the above equation, so, we have the following representation

New price = $245 x (1 - 15%)

Evaluate the product

New price = $208.25

Hence, th new price is $208.25

Read more about discounts at

https://brainly.com/question/7459025

#SPJ1

Find X in all three problems below

Answers

The lengths for the missing side of each case, determined by the use of trigonometric functions, are listed below:

Case D: 50.513

Case E: 46.165

Case F: 2.052

How to determine missing lengths of right triangles by trigonometric functions

In this problem we have three cases of right triangles, each of which has an unknown side length. Each length can be found by using trigonometric functions. Now we proceed to determine it for each case:

Case D

tan 29° = 28 / x

x = 28 / tan 29°

x ≈ 50.513

The missing side length is approximately 50.513 units.

Case E

tan 18° = 15 / x

x = 15 / tan 18°

x ≈ 46.165

The missing side length is approximately 46.165 units.

Case F

cos 70° = x / 46

x = 46 · cos 70°

x ≈ 2.052

The missing side length is approximately 2.052 units.

To learn more on trigonometric functions: https://brainly.com/question/14746686

#SPJ1

you want to obtain a sample to estimate a population proportion. based on previous evidence, you believe the population proportion is approximately 40%. you would like to be 90% confident that your estimate is within 1.5% of the true population proportion. how large of a sample size is required?

Answers

The largest sample size required is 2886.4.

Here we have to calculate how large of a sample size is required.

The formula:

(Z ∝I2/ E)² × P( 1- P)

The given data:

Margin error (E) = 1.5%

=0.015

As it is given that 90% confident that your estimate is within 1.5% of the true population proportion, therefore we have:

The level of significance(∝) = 1 - 0.90

= 0.10

The z value for the 90% confidence is 1.645

Therefore the largest of a sample size is required = ( 1.645/ 0.015)²× ( 0.4)(1- 0.4)

= 2886.4

The largest a sample size required is 2886.4

To know more about the population proportion refer to the link given below:

https://brainly.com/question/24232216

#SPJ4

the numbers from 1 to 8 are placed at the vertices of a cube in such a manner that thesum of the four numbers on each face is the same. what is this common sum?

Answers

The common sum is 18 as "the numbers from 1 to 8 are placed at the vertices of a cube in such a manner that the sum of the four numbers on each face is the same".

What is sum?

A summation, also known as a sum, is the outcome of adding two or more numbers or quantities. There are always an even number of terms in a summation. There could be only two terms, or there could be one hundred, thousand, or a million. The outcome or conclusion we arrive at when we add two or more numbers is known as the SUM. Addends are the numbers that are added.

Here,

The sum of the numbers on one face of the cube is equal to the sum of the numbers on the opposite face of the cube; these 8 numbers represent all of the vertices of the cube.

=(1+2+3+4+5+6+7+8)/2

=18

Since "the numbers from 1 to 8 are placed at the vertices of a cube in such a manner that the sum of the four numbers on each face is the same," the common sum is 18.

To know more about sum,

https://brainly.com/question/25521104?referrer=searchResults

#SPJ4

Which of the following equations have exactly one solution?
Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
6
x

6
=
15
x
+
15
6x−6=15x+156, x, minus, 6, equals, 15, x, plus, 15

(Choice B)
B
6
x
+
15
=
6
x
+
15
6x+15=6x+156, x, plus, 15, equals, 6, x, plus, 15

(Choice C)
C
6
x

15
=
6
x
+
15
6x−15=6x+156, x, minus, 15, equals, 6, x, plus, 15

(Choice D)
D
6
x

6
=
6
x
+
15
6x−6=6x+156

Answers

The equation which has exactly one solution is 6x - 6 = 15x + 15.

The correct answer option is option A

Solving equations with one solution

Check all that applies:

6x - 6 = 15x + 15

6x - 15x = 15 + 6

- 9x = 21

divide both sides by -9

x = 21/-9

x = -2.33

6x + 15 = 6x + 15

6x - 6x = 15 - 15

0 = 0

False

6x - 15 = 6x + 15

6x - 6x = 15 + 15

0 = 30

False

6x - 6 = 6x + 15

6x - 6x = 15 + 6

0 = 21

False

In conclusion, the 6x - 6 = 15x + 15 has only one solution.

Read more on solutions to equation:

https://brainly.com/question/24334139

#SPJ1

4. A park charges $8 for adults and $4 for kids. How many of each type of ticket was sold if a total of 325 tickets were sold for a total of $1812?

Answers

Answer:

1300 and 750

Step-by-step explanation:

mark me on brainliest please follow me to

if a password is to have 4 digits, each from 0 to 9, what is the probability that there will be no repeats on the digits?

Answers

The probability that there will be no repeats on the digits is 0.504.

What is meaning of probability?

The ratio of favorable outcomes with the total number of outcomes is known as probability of that event.

The number of digits of the password is 4.

The numbers from 0 to 9 is 10.

If the digit can repeat, then we can chose first digit in 10 ways, the second digit in 10, third digit in 10 ways and fourth digit in 10 ways.

The total number of ways is 10 × 10 × 10 × 10 =10000.

If the digit can't repeat, then we can chose first digit in 10 ways, the second digit in 9 (because we can't use first digit) , third digit in 8 ways (because we can't use first digit and second digit) and fourth digit in 7 ways(because we can't use first digit, second digit, and third digit).

The total number of ways is 10 × 9 × 8 × 7 =5040.

The favorable outcomes for this event is 5040.

The total number of outcomes is 10000.

The required probability is 5040/10000 = 0.504.

To learn more about probability, you can visit below link:

https://brainly.com/question/11234923?

#SPJ4

a small airline runs commuter flights with a plane that holds 10 people. each ticket-holder has a 10% chance of not showing up, so the airline sells 12 tickets for each flight. which is an appropriate plan for a simulation that uses a table of random digits to estimate the probability that exactly ten people show up for the flight?

Answers

The probability that exactly 10 people will show up is 0.230

Let X measure the number of people (out of 12) who show up for a flight. For each passenger

we have a 90% chance of showing up, so X is a binomial random variable with n = 12 and p = 0.90.

(b) Everyone gets a seat when X ≤ 10. We have to find the probability when exactly 10 people show up for the flight , so we use the binomial probability for P(10)

∴ P(10) = [tex]C^{n} _{x} p^{x}(1-p)^{n-x}[/tex]

P(10) = 0.230

So , the probability that exactly 10 people show up for the flight is 0.230 .

learn more about binomial probability here :

https://brainly.com/question/14214595

#SPJ4

angelina drove at an average rate of 80 kmh and then stopped 20 minutes for gas. after the stop, she drove at an average rate of 100 kmh. altogether she drove 250 km in a total trip time of 3 hours including the stop. which equation could be used to solve for the time t in hours that she drove before her stop?

Answers

The equation that could be used to solve for the time t in hours that she drove before her stop is 80t + 100(8/3 - t) = 250.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An equation is the equality of expressions.

Let t = time she drove before her stop

If the total trip time is 3 hours including the stop, which took 20 minutes, then the time she drove after the stop is 3 - t - 1/3 or 8/3 - t.

If altogether she drove a distance of 250 km, then the sum of the products of the rate of speed and time each drive is equal to 250.

(80 km/h)(t) + (100 km/h)(8/3 - t) = 250

Simplify the equation.

80t + 100(8/3 - t) = 250

Learn more about equation here: brainly.com/question/3927786

#SPJ4

Ms. Grace bought 3 bags of dog treats for $7.38. What is the cost per bag of dog treats?

Answers

Answer:

$2.46

Step-by-step explanation:

7.38/3 = 2.46

2.46 x 3 = 7.38

a sample of 900 computer chips revealed that 34% of the chips do not fail in the first 1000 hours of their use. the company's promotional literature states that 31% of the chips do not fail in the first 1000 hours of their use. the quality control manager wants to test the claim that the actual percentage that do not fail is different from the stated percentage. determine the decision rule for rejecting the null hypothesis, h0, at the 0.10 level.

Answers

The alternative hypothesis and null are:

H₀ : p = 0.31 vs H₁ : p > 0.31

Given that;

A sample of 900 computer chips revealed that 34% of the chips do not fail in the first 1000 hours of their use. the company's promotional literature states that 31% of the chips do not fail in the first 1000 hours of their use. the quality control manager wants to test the claim that the actual percentage that do not fail is different from the stated percentage.

To get decision rule for rejecting the null hypothesis, h0, at the 0.10 level;

n = 900

P = 0.34

p = 0.31

α = 0.10

Claim: More than 31% do not malfunction within the first 1000 hours of operation.

The null and alternative hypothesis must be stated.

This is a right-tailed test because the claim is directional to the right side (> type).

Therefore, the alternative hypothesis and null are:

H₀ : p = 0.31 vs H₁ : p > 0.31

To learn more about percentage click here:

brainly.com/question/14695543

#SPJ4

14. the mean price of a pound of ground beef in 75 cities in the midwest is $2.11 and the standard deviation is $0.56. suppose the histogram of the data shows that the distribution is unimodal and symmetrical. a local grocer is selling a pound of ground beef for $3.50. what is this price in standard units? assuming the empirical rule applies, would this price be unusual or not? round to the nearest hundredth.

Answers

For a unimodal distribution which is symmetrical with a mean price of $2.11 and standard deviation of $0.56, a local grocer’s price of $3.50 in standard units would be 2.282 and it is unusually expensive.

A unimodal distribution refers to a distribution with one clear peak as the values increase to a single highest point after which they. It can be symmetrical or non-symmetrical. A symmetrical distribution refers to a distribution whose mean, mode, and median are all equal.

The standard score (z) is given by:

z = (x - µ)/σ where µ is the mean and σ is the standard deviation.

To determine the value of z for $3.50 price:

z = (3.5 – 2.11)/0.56 = 2.482

From the z-table, the probability of z ≥ 2.282

P (z ≥ 2.282) = 1 – P (z < 2.282) = 1 – 0.98876 = 0.0112 or 1.12%

Hence, the price of $ 3.50 is unusually high.

Learn more about Unimodal distribution:

https://brainly.com/question/28164315

#SPJ4

Help find the Perimeter of 4,5,6 please

Answers

The perimeters of the given figures 4, 5, 6 are 27 m, 140.76 cm  and 28 inches respectively.

We need to find the perimeter of given figures.

What is the perimeter?

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

4) Now, sum of all the sides

= 5+3.5+1.5+3.5+5+3.5+1.5+3.5 m

= 27 m

5) Here, radius = Diameter/2 = 17 cm

Perimeter = 2 semicircles+2(17) cm

= 2 × 1/2 πr + 2×17

= 2 × 3.14 × 17 + 34

= 140.76 cm

6) In the given figure here, there are 4 similar triangles

= 4(4+3) inches

= 4 × 7

= 28 inches

Therefore, the perimeters of the given figures 4, 5, 6 are 27 m, 140.76 cm  and 28 inches respectively.

To learn more about the perimeter visit:

https://brainly.com/question/6465134.

#SPJ1

Jacob distributed a survey to his fellow students asking them how many hours they spent on the Internet in the past day. He also asked them to rate their mood on a scale from 0,10, with ten being the happiest. A line was fit to the data to model the relationship. ​

Answers

Answer:

The answer is B. y = -x + 7.5.

Step-by-step explanation:

The slope is -1 and the y-intercept is 7.5.

PLEASE MARK AS BRAINLIEST!!!

a popular resort hotel has 300 rooms and is usually fully booked. about 6% of the time a reservation is cancelled before the 6:00 p.m. deadline with no penalty. what is the probability that at least 275 rooms will be occupied? use the binomial distribution to find the exact value. a. 0.01 b. 0.96 c. 0.93 d. 0.85

Answers

When binomial distribution is used, the probability that at least 275 rooms are occupied is 0.96

Option b. is correct

We have the following parameters:

sample, n=300

proportions of rooms reserved, p=6%

We first get the sample mean,

Sample mean=n*p

                       =300*6%

                        =18

Now, we get population mean according to binomial distribution, μ'

μ=n-sample mean

   =300-18

   =282

We get the standard deviation, σ

σ=(sample mean*(1-p))^1/2

 =(18*(1-6%))^1/2

 =4.11

We now, calculate z-score:

z=(x-μ)/σ, given x should be at least 275

z=(275-282)/4.11

 =-1.703

Now, we have p(x>275)=p(z>-1.703)

From z-score of probabilities, we have p(z>-1.703) as 0.95572

So, p(x>275)=0.95572

                    =0.96

Hence, the probability that at least 275 rooms are occupied is 0.96

To learn more about binomial distribution; click here:

https://brainly.com/question/14697367

#SPJ4

Find the slope of the line that passes through the pair of points (8, −2), (1, 1)

Answers

The slope of the line that passes through the given pair of points is, -3/7.

What is slope of the line?

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively. where "m" represents a line's slope. So, the slope of a line is tanθ.

Given: (8, -2), (1, 1)

Since, if two points [tex](x_1, y_1), (x_2, y_2)[/tex] are given then slope (m) is defined as,

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex].

Here,

[tex](x_1, y_1) = (8, -2)\\(x_2, y_2)=(1, 1)[/tex]

So, the slope can be defined as,

[tex]m = \frac{1-(-2)}{1-8} \\m=\frac{3}{-7} \\m=-\frac{3}{7}[/tex]

Hence, the slope of the line that passes through the given pair of points is, -3/7.

To know more about the slope of the line, click on the link

https://brainly.com/question/27212023

#SPJ9

Here you go LOL didn't get all the files. I need help TWT

Answers

Answer:

First option

Step-by-step explanation:

→ Define domain

The set of x values a function can take

→ Identify

2 to negative infinity

What does negative 3 over 5 > −2 indicate about the positions of negative 3 over 5 and −2 on the number line? (1 point) a negative 3 over 5 is located on the right of −2 b negative 3 over 5 is located on the left of −2 c negative 3 over 5 is located on the right of 0 and −2 is located on the left of 0 d negative 3 over 5 is located on the left of 0 and −2 is located on the right of 0
This is worth 40 points pls help

Answers

Answer:

−2 c negative 3 over 5 is located on the right of 0 and −2 is located on the left of 0 d negative 3 over 5

Step-by-step explanation:

Need help asap
Solve by using elimination. Express your answer as an ordered pair.
3x−2y=11
3x−y=7

Answers

The solution to the given set of systems of equations is (x, y) = (1, -4).

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let's determine the solution using the elimination Method

3x−2y=11  (Equation 1)

3x−y=7(Equation 2)

Multiply the second equation by 2.

6x - 2y = 14    (Equation 3)

Now subtract the first equation from third to eliminate the y.

6x - 2y - (3x - 2y) = 14 - 11

3x = 3

x = 1

Now to find the value of y,

3x−y=7

3(1) − y = 7

y = 7 - 3

y = -4

Therefore, the solution to the given set of systems of equations is (x, y) = (1, -4).

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ1

a restaurant has special menu that features three choices of salad, six choices of entree, and eight choices of dessert. how many different three course meals could you order

Answers

72 three course meals we can order.

Question states that;

A restaurant offers a special menu with three salad options, six meal options, and eight dessert options.

Counting Principle:

The counting rule is another name for the Fundamental Counting Principle. It's a way to figure out how many possible outcomes there are in a probability word problem. Probability is the likelihood that an event will occur. An event's probability is always a number between 0 and 1. The probability of all events added together equals one.

We need to find how many three course meals we can order;

Total number of ways,

P(A) = 3 * 6 * 8

P(A) = 72

72 three course meals we can order.

To learn more about probability click here:

brainly.com/question/11234923

#SPJ4

pls help! Last year, 180 new houses were built in a neighborhood. So far this year, 5/6 of them have been sold. How many new houses have been sold this year? Write your answer in simplest form.

Answers

Answer:

150 Houses

Step-by-step explanation:

180/6=30. Every 1/6 is 30 houses. Therefore you multiply 30x5 to get 150. 150 is 5/6 of the houses sold.

Given f(x) = 19 - 4x|, find f (7)

Answers

The value of f(7) is 9 given that f(x) = |19 - 4x|

How to determine the value of f(7)?

A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input

Given: f(x) = |19 - 4x|

To find f(7), substitute  x = 7 into f(x) = |19 - 4x|:

f(7) = |19 - 4(7)| = |19-28| = |-9|  = 9

Note: The sign |  | means absolute, the sign of any value inside it will be discarded and only the number is written

Therefore, f(7) is 9

Learn more about function on:

brainly.com/question/29233399

#SPJ1

a/4 - 5/6 = -1/2
URGENT!
ACTUALLY DO THE MATH
Get it right and ill make the first person the brainiest!

Answers

Answer:

a = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

[tex]\frac{a}{4}[/tex] - [tex]\frac{5}{6}[/tex] = - [tex]\frac{1}{2}[/tex]

multiply through by 12 ( the LCM of 4, 6 and 2 ) to clear the fractions

3a - 10 = - 6 ( add 10 to both sides )

3a = 4 ( divide both sides by 3 )

a = [tex]\frac{4}{3}[/tex]

Answer:

[tex]a=\frac{4}{3}[/tex]

Step-by-step explanation:

Move all terms not containing [tex]a[/tex] to the right side of the equation.

Add [tex]\frac{5}{6}[/tex] to both sides of the equation.

[tex]\frac{a}{4}=-\frac{1}{2} +\frac{5}{6}[/tex]

To write [tex]-\frac{1}{2}[/tex]  as a fraction with a common denominator, multiply by [tex]\frac{3}{3}[/tex].

[tex]\frac{a}{4}=-\frac{1}{2}*\frac{3}{3} +\frac{5}{6}[/tex]

Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.

[tex]\frac{a}{4}=-\frac{3}{2*3} +\frac{5}{6}[/tex]

[tex]\frac{a}{4}=-\frac{3}{6} +\frac{5}{6}[/tex]

Combine the numerators over the common denominator.

[tex]\frac{a}{4}=\frac{-3+5}{6}[/tex]

Add [tex]-3[/tex] and [tex]5[/tex] .

[tex]\frac{a}{4}=\frac{2}{6}[/tex]

Cancel the common factor of [tex]2[/tex] and [tex]6[/tex].

Factor [tex]2[/tex] out of [tex]2[/tex].

[tex]\frac{a}{4}=\frac{2(1)}{6}[/tex]

[tex]\frac{a}{4}=\frac{2*1}{2*3}[/tex]

Cancel the common factor.

[tex]\frac{a}{4}=\frac{1}{3}[/tex]

Multiply both sides of the equation by [tex]4[/tex].

[tex]4\frac{a}{4} =4(\frac{1}{3})[/tex]

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of [tex]4[/tex].

[tex]a=4(\frac{1}{3})[/tex]

Simplify the right side.

Combine [tex]4[/tex] and [tex]\frac{1}{3}[/tex]

[tex]a=\frac{4}{3}[/tex]

PLEASE HELP MEEE!!!!!!!!!

Answers

Each function operation should be matched with what it is equivalent to as follows:

f(x) + g(x) = -2x² + x + 6.

g(x) - f(x) = -2x² - 5x + 2.

f(x) · g(x) = -6x³ - 10x² + 8x + 8.

h(x) - f(x) = 3x² - 7x - 2

f(x) · h(x) = 9x³ - 6x² - 8x.

f(x) + g(x) + h(x) = x² - 3x + 6.

How to determine the solutions of the given function?

In order to determine the solutions of the given function, we would have to evaluate each of the function based on the required mathematical operations as follows.

From the information provided, we have the following functions:

f(x) = 3x + 2

g(x) = -2x² - 2x + 4

h(x) = 3x² - 4x

f(x) + g(x) = 3x + 2 + (-2x² - 2x + 4)

f(x) + g(x) = 3x + 2 - 2x² - 2x + 4

Next, we would rearrange the function by collecting like terms as follows:

f(x) + g(x) = -2x² + (3x - 2x) + (2 + 4)

f(x) + g(x) = -2x² + x + 6 (solution).

g(x) - f(x) = -2x² - 2x + 4 - (3x + 2)

Opening the bracket, we have:

g(x) - f(x) = -2x² - 2x + 4 - 3x - 2

Next, we would rearrange the function by collecting like terms as follows:

g(x) - f(x) = -2x² + (-2x - 3x) + (4 - 2)

g(x) - f(x) = -2x² - 5x + 2 (solution).

f(x) · g(x) = (3x + 2) × (-2x² - 2x + 4)

Opening the bracket, we have:

f(x) · g(x) = -6x³ - 6x² + 12x - 4x² - 4x + 8

Next, we would rearrange the function by collecting like terms as follows:

f(x) · g(x) = -6x³ + (-6x² - 4x²) + (12x - 4x) + 8

f(x) · g(x) = -6x³ - 10x² + 8x + 8 (solution).

h(x) - f(x) = 3x² - 4x - (3x + 2)

h(x) - f(x) = 3x² - 4x - 3x - 2

h(x) - f(x) = 3x² - 7x - 2 (solution).

f(x) · h(x) = (3x + 2) × (3x² - 4x)

f(x) · h(x) = 9x³ - 12x² + 6x² - 8x

f(x) · h(x) = 9x³ - 6x² - 8x (solution).

f(x) + g(x) + h(x) = 3x + 2 + (-2x² - 2x + 4) + (3x² - 4x)

f(x) + g(x) + h(x) = -2x² + x + 6 + 3x² - 4x

f(x) + g(x) + h(x) = x² - 3x + 6 (solution).

Read more on function here: brainly.com/question/3632175

#SPJ1

plsssssssshelpppppppppp

Answers

a) The correct equation to represent the given condition is;

⇒ 4 (x + $3) = $36

Where, x represents the amount Pablo parents added in each day.

b) The amount to added by his parents in his account = $6

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

For 4 days, Pablo put $3 into his account.

And, His parent also add the some money to his saving account.

In the end, there was a total $36 in his account.

Now,

Let the amount Pablo parents added in each day = x

So, We can formulate;

⇒ 4 (x + $3) = $36

Solve for x as;

⇒ 4x + $12 = $36

⇒ 4 x = $36 - $12

⇒ 4x = $24

Divide by 4 both side, we get;

⇒ x = $6

Thus,

a) The correct equation to represent the given condition is;

⇒ 4 (x + $3) = $36

Where, x represents the amount Pablo parents added in each day.

b) The amount to added by his parents in his account = $6

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Solve using proportions: If a 4-pound roast takes 140 minutes to cook, how long should a 5-pound roast take to cook?

Answers

175 minutes because 140/4 is 35 mins so 35 mins per pound so then 35x5

Step-by-step explanation:

[tex]4pound \: roast \: = 140 \: minutes \\ 5 \: pounds \: roast \: = {?} \\ then cross multiplication \\ 140 \times 5 \: divide \: by \: 4 \\ 700 \div 4 = 175 \\ 5 \: pound \: roast \: take \: 175 \: minutes[/tex]

how many ways are there to select 5 scoops of ice cream to put into a bowl, chosen from baskin robbins 31 flavors? a flavor may be selected multiple times.

Answers

In permutation, ³¹C₅  are there to select 5 scoops of ice cream to put into a bowl .

What are some examples of permutation?

A permutation is a set up of things in a specific order. Here, the components of sets are arranged in a linear or sequential order. For instance, the set A=1,6 has a permutation of 2, which is 1,6,1. The components of set A cannot be arranged in any other way, as you can see.

Total ice cream flavor n = 31 flavor

selection of (r) = 5 scoop

total number of ways to select 5 scoops of ice cream from 31 flovers

                                                   = ³¹C₅

Learn more about permutation

brainly.com/question/1216161

#SPJ4


Write an equation that has a variable on both sides and x = -11
as a solution.

Answers

The equation that has x = -11 as the solution is given by -

y = x + 11

Write the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have the following equation that has a variable on both sides and x = -11 as a solution.

An equation of a straight line can be used to depict the problem given. We can write the equation as -

y = x + 11

Therefore, the equation that has x = -11 as the solution is given by -

y = x + 11

To solve more questions on equation modelling, visit the link below-

https://brainly.com/question/1616075

#SPJ1

imma lose all my points but someone PLS HELP ME OUT WITH THIS I really need it done ASAP PLS


increase the amount of the ingredients by 5 and by 20

Answers

If increase the amount of the ingredients by 5 and by 20 is 51.75 grams and 207 grams respectively.

Given that, Ingredients: 2 teaspoons Worcestershire sauce

What is metric conversion?

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

Converted to Metric measurements : 10.35 g

Increased by 5 = 10.35 × 5

= 51.75 grams

Increased by 20 = 10.35 × 20

= 207 grams

Therefore, if increase the amount of the ingredients by 5 and by 20 is 51.75 grams and 207 grams respectively.

To learn more about the metric conversion visit:

brainly.com/question/21244256.

#SPJ1

Find the slope of the line that passes through (10, 6) and (3, 11).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

-5/7

Step-by-step explanation:

know what to put here don't know how to explain!

Other Questions
a firm is evaluating two mutually exclusive projects that have unequal lives. the firm must evaluate the projects using the annualized net present value approach and recommend which project they should select. the firm's cost of capital has been determined to be 14 percent, and the projects have the following initial investments and cash flows: tableau3 ( ( project r project s)(initial investment: $40,000 $58,000cash flows: 1 $20,000 $30,000 2 20,000 55,000 3 20,000 4 20,000) ) which project should the firm select? after ovulation levels of prgesterone rise sharply what is the primary function of progesterone at this point in the menstrual cycle A student wants to collect data during an experiment about the transfer of kinetic energy in a sample of water and ice. Which tool will help her collect the necessary data?(1 point)Responsesmeter stickbalance thermometer graduated cylinder a firm has invested $500 in a new machine that is expected to last for the next 4 years. the machine will be depreciated on a straight line basis down to zero by the end of its 4 year life. the firm projects that the machine will generate consecutive annual cash inflows of $550 beginning in one year and will generate consecutive annual cash outflows at 260 also beginning in one year.. assuming the tax rate of 38%, determine the firm's cash flow next year. Select the correct answer. select the word that correctly completes the sentence: as the flood waters _____, people began to clean up the damage that had been done. a. abated b. induced c. implicated d. vocation The radius of a circle is 599 cm. What is the diameter of this circle? Expand and simplify:3(2p - 5) + 2(p + 3) Finding missing side length given two similar triangles 14 workers can dig 9 m long trench in one day. How many workers would dig 27 m long trench of the same type in 1 day? assume that the box confains 11 balls: 5 red, 3 blues, and 3 yellow. as in the text, you draw one ball, note its color, and if its yellow rrplace it. if it is not yellow you do not replace it. you then draw a second ball and note its color suppose your car's speedometer is geared to accurately give your speed using a certain tire size: 14.5-inch diameter wheels (the metal part) and 4.75-inch tires (the rubber part). if your car's instruments are properly calibrated, how many times should your tire rotate per second if you are travelling at 50 mph? which channel type triggers the rapid depolarization phase of the autorhythmic cell action potential? Mai has proven that triangle WYZ is congruent to triangle WYX using the Side-Side-Side Triangle Congruence Theorem. Since corresponding parts ofcongruent triangles are congruent, angle ZWY is congruent to angle XWY and angle ZYW is congruent to angle XYW.True or False: Mai can now conclude that diagonal WY bisects angles ZWX and ZYX.TrueO False Which action should you take if you are in debt? Decrease your loan payments. Request wage garnishment. File for legal bankruptcy. Stop using credit. I need some help with this question about graphed functions Hamlet questions 1. Read lines 312 through 316 in Act III, Scene iii.Knowing that "limed" refers to a bird trappedwith a lime-based paste, what is the significanceof this use of figurative language to characterizethe king? Explain how these lines createmeaning An equation that shows that two ratios are equal is a(n) _________.rateratiounit rateproportion Who is the fastest speedster in the CW The Flash???? pls help with this . give only what it ask for the answers. should there be laws to restrict the value of houses people buy and the amount of leverage used to buy the house? what is the problem with having such laws in a free market?