Answer:
I believe the unit price would be $2.97
Step-by-step explanation:
Hope this helps! :))
Please let me know if its incorrect.
A group of friends wants to go to the amusement park. They have no
more than $465 to spend on parking and admission. Parking is $12.50,
and tickets cost $33 per person, including tax. Which inequality can be
used to determine p, the maximum number of people who can go to
the amusement park?
14 people can go to the amusement park. Inequality of wealth in major cities Economic inequality comes in many forms, most notably wealth inequality measured by the distribution of wealth and income inequality measured by the distribution of income.
How to calculate No. of people?Inequality: 33p + $12.50 ≤ $465
14 people can go to the amusement park
Inequality:
$465= Amount of money they have
$12.50= Parking Cost
$33= Cost of tickets per person
Because they only have $465, they can't spend more than that amount.
Therefore, the inequality would be the ticket cost per person, times the amount of people being payed for (aka x) plus the parking cost is less than or equal to the amount of money they have to spend. Hence the inequality:
33p+ $12.50 ≤ $465
$465- $12.50 = $452.5 (452.5 is how much is left for tickets after subtracting the parking cost)
$33 x1 4 = $462 (14 tickets can be bought for the price of $33)
$462 - $452.5 = $9.5 (9.5 isn't enough for another person)
So, the solution to the inequality is 14 people can go to the amusement park.
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Answer: 45.5p is less than or equal to 465
Evaluate the expression when g = 4 and h = 6.
h+7g
Mikaela purchased a paddleboard originally priced at $899. If all merchandise was on sale for 40% off and the state tax rate is 7.25%, what is the total amount
that Mikaela spent on the paddleboard?
Total amount that Mikaela spent on the paddleboard is 578.5065.
How to calculate total amount spent on the paddleboard?According to given data,
original price = 899$ and 40% off.
state tax rate is 7.25%.
Solution:-
Applying formula,
⇒ 899 × (7.25% + 1) × (1 - 40%)
⇒ 899 × 1.0725 × 0.6
⇒ 578.5065.
Total amount that Mikaela spent on the paddleboard is 578.5065.
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The graph below plots the values of y for different values of x:
plot the ordered pairs 1, 8 and 2, 3 and 3, 0 and 4, 1 and 5, 2 and 6, 1
What does a correlation coefficient of −0.2 say about this graph?
x and y have a strong, positive correlation
x and y have a weak, positive correlation
x and y have a strong, negative correlation
x and y have a weak, negative correlation
A correlation coefficient is a numerical measure of some type of correlation, meaning a statistical relationship between two variables.
Hence, the correlation coefficient is [tex]-0.9[/tex], i.e., [tex]x[/tex] and [tex]y[/tex] have a strong, negative correlation
What is a correlation coefficient?
A correlation coefficient is a numerical measure of some type of correlation, meaning a statistical relationship between two variables.
The variables may be two columns of a given data set of observations, often called a sample or two components of a multivariate random variable with a known distribution.
As we know that the correlation coefficient is a measure of the strength of the straight line or linear relationship between two variables. Correlation coefficients are expressed as values between [tex]+1[/tex] and [tex]-1[/tex].
So,
[tex](1,8),(2,3),(3,0),(4,1),(5,2),(6,1)[/tex]
As per the Excel tools i.e., CORREL function the correlation coefficient is [tex]-0.9[/tex].
Hence, the correlation coefficient is [tex]-0.9[/tex], i.e., [tex]x[/tex] and [tex]y[/tex] has a strong, negative correlation.
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There are 185 marbles in a bag. 40% of the marbles are blue and the rest are of other colours.
a. Find the percentage of marbles that are not blue.
b. Find the number of marbles that are not blue
Step-by-step explanation:
There are 185 marbles in a bag. 40% of the marbles are blue and the rest are of other colours.
a. Find the percentage of marbles that are not blue.
100% - 40% = 60%
b. Find the number of marbles that are not blue.
60% = 0.6
0.6 * 185 = 111 marbles
50 POINTS!! NEED HELP
Drag each label to the correct location on the image.
Identify which equations have one solution, infinitely many solutions, or no solution.
Answer:
the label are marked by numbers
which of the following is part of the solution of the system?
y-x<=-5, y-2x>-5
a) (0,1)
b) (-1,-6)
Answer:
Neither of them are solutions unless you had a typo in the question.
Step-by-step explanation:
1) plug in the known values into both of the equations
First Coordinate:
y-x[tex]\leq[/tex]-5
(1)-(0)[tex]\leq[/tex]-5
1[tex]\leq[/tex]-5 which is not true.
In this case, we do not need to plug in (0,1) into both of the equations because the coordinate cannot be a solution unless the coordinate works in BOTH of the equations.
Second Coordinate:
1) y-x[tex]\leq[/tex]-5
(-6)-(-1)[tex]\leq[/tex]-5
(-6)+1[tex]\leq[/tex]-5 --> It becomes a +1 because two negatives make a positive
-5 [tex]\leq[/tex]-5 - -> which means this is true because -5 is less than or equal to -5
2) y-2x>-5
(-6)-2(-1)>-5
-6(2)>-5
-12>-5 NOT TRUE
ANSWER: Neither of them are solutions unless you had a typo in the question.
Graph the function f(x) = -5(x - 8)² - 2.
Plot the vertex. Then plot another point on the parabola. If you make a mistake, you can
erase your parabola by selecting the second point and placing it on top of the first.
The vertex is at (8, -2).The point (10, -22) is also on the parabola.
Step-by-step explanation:
Here is the graph of the function:
The vertex is at (8, -2).
To plot another point on the parabola, we can choose any x-value and plug it into the equation to solve for y.
For example, if we choose x = 10, then we have:
f(x) = -5(x - 8)² - 2
f(10) = -5(10 - 8)² - 2
f(10) = -5(2)² - 2
f(10) = -5(4) - 2
f(10) = -20 - 2
f(10) = -22
So, the point (10, -22) is also on the parabola.
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a scout group has a raffle to rasie money for charity there is 1 prize to be won in the raffle
laura buys 12 raffle tickets a total of 350 raffle tickets are sold
find the probability that laura does not win the prize
The probability that Laura does not win the prize is 119 / 175.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lie in the close interval of 0 and 1 [0,1].
Given that,
Total number of raffle rickets to be sold is 350.
The number of tickets bought by Laura is 12.
Since, the probability of an event is defined as the ratio of favorable outcome to the total outcomes, the probability of winning the prize is,
P = 12 / 350
Thus, the probability of not winning the prize is,
1 - 12 / 350
= 338 / 350
= 119 / 175
Hence, the probability of not winning a prize is 119 / 175.
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Use either long division or synthetic division to solve:
(2i^4 +-6i³+-25i² +31i+-30)/(i +-5)
Answer:
[tex]\textsf{Quotient}: \quad 2i^3+4i^2-5i+6[/tex]
[tex]\textsf{Simplified Quotient}: \quad 2-7i[/tex]
Step-by-step explanation:
Long division method
Divide the first term of the dividend by the first term of the divisor, and put that in the answer.Multiply the divisor by that answer, put that below the dividend.Subtract to create a new dividend.Repeat.Given rational expression:
[tex]\dfrac{2i^4-6i^3-25i^2 +31i-30}{i -5}[/tex]
Solve using long division:
[tex]\large \begin{array}{r}2i^3+4i^2-5i+6\phantom{)}\\i-5{\overline{\smash{\big)}\,2i^4-6i^3-25i^2 +31i-30\phantom{)}}}\\{-~\phantom{(}\underline{(2i^4-10i^3)\phantom{-b00000000000.)}}\\4i^3-25i^2+31i-30\phantom{)}\\-~\phantom{()}\underline{(4i^3-20i^2)\phantom{))))))))))))}}\\-5i^2+31i-30\phantom{)}\\-~\phantom{()}\underline{(-5i^2+25i)\phantom{........}}\\6i-30\phantom{)}\\-~\phantom{()}\underline{(6i-30)\phantom{}}\\0\phantom{)}\end{array}[/tex]
Therefore, the quotient is:
[tex]2i^3+4i^2-5i+6[/tex]
Imaginary number rule
[tex]i^2=-1[/tex]
Simplify the quotient:
[tex]\implies 2i^3+4i^2-5i+6[/tex]
[tex]\implies 2i^3+4(-1)-5i+6[/tex]
[tex]\implies 2i^3-4-5i+6[/tex]
[tex]\implies 2i^3-5i-4+6[/tex]
[tex]\implies i(2i^2-5)+2[/tex]
[tex]\implies i(2(-1)-5)+2[/tex]
[tex]\implies-7i+2[/tex]
[tex]\implies 2-7i[/tex]
Given that £1 = $1.62
how much is $405 in £
Answer:
£250
Step-by-step explanation:
Divide $405 by $1.62 which is 250.
Multiply that by £1 which is £250.
A parabola can be drawn given a focus of (−3,−3) and a directrix of x=5. Write the equation of the parabola in any form.
Equation of the parabola with focus (-3,-3) and a directrix x=5 is given by x = (-1/16)(y² +6y -7).
As given in the question,
Focus of the parabola is equal to (-3, -3)
Directrix of the parabola is given by x = 5
Let (x, y) be the point on the parabola.
Distance between the (-3,-3) and (x, y) = Distance between (x, y) and x=5
⇒√(x +3)² + (y +3)² = | x -5|
⇒(x² +6x +9) +(y² + 6y +9) = (x-5)²
⇒x² +6x +y² +6y +18 = x² -10x +25
⇒y² +6y -7 = -16x
⇒x = (-1/16) (y² +6y -7) represents the equation of the parabola.
Therefore, equation of the parabola with focus (-3,-3) and a directrix x=5 is given by x = (-1/16)(y² +6y -7).
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How much would it cost for 3 slices of pizza and 4 orders of French fries?
Answer:
1 piece = 1 slice then the answer is 4/3 = $1.33 (still … 3 slices will be $3.99 rounded to 4). A pizza costs £5.50 and fries cost £1.00, John orders 3 pizzas and 5 fries but the …
I have a lot of trouble with dividing does anyone have a tip for it
Answer:
Divide by Three Trick
This is a fun trick. If the sum of the digits in a number can be divided by three, then the number can as well.
Examples:
1) The number 12. The digits 1+2=3 and 12 ÷ 3 = 4.
2) The number 15. The digits 1+5 = 6, which is divisible by 3. It turns out that 15 ÷ 3 = 5
How many terms are in the given expression?5x - 2
The number of terms in the expression 5x - 2 is 2
What is number of terms in a mathematical expression ?The number of terms in an expression or equation refers to the values separated by a mathematical operator. A mathematical operator could be
AdditionSubtractionMultiplicationDivision and so onThe terms can be like terms or unlike terms
The two terms given is separated by the subtraction operator and are both unlike terms
The first term 5x consist of
coefficient = 5variable = xThe second term is just a constant which is 2
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The measures of the angles of a triangle are shown in the figure below. Solve for x.
71°
(2x+5)
62⁰
Answer:
x=21
Step-by-step explanation:
The angles of a triangle always add up to 180°
71+62+(2x+5)=180
First add 71 and 62
133+(2x+5)=180
Then you subtract 133
2x+5=47
Subtract 5 too
2x=42
Then divide by 2
x=21
We can check our answer by adding all the angles
71+62+(2*21+5)
71+62+(42+5)
71+62+47=180
suppose that when a transistor of a certain type is subjected to an accelerated life test, the lifetime x (in weeks) has a gamma distribution with mean 24 weeks and standard deviation 12 weeks. (a) what is the probability that a transistor will last between 12 and 24 weeks? (b) what is the probability that a transistor will last at most 24 weeks? (c) is the median of the lifetime distribution less than 24? why or why not?
The probability that the transistor will last between 12 and 24 weeks is 0.424
the probability that a transistor will last at most 24 weeks is 0.567
The median of the lifetime distribution is less than 24
X= lifetime of the transistor in weeks E(X)= 24 weeks
O,= 12 weeks
The anticipated value, variance, and distribution of the random variable X were all provided to us. Finding the parameters alpha and beta is necessary before we can discover the solutions to the difficulties.
a) X~gamma([tex]\alpha , \beta[/tex])
E(X)= [tex]\alpha \beta[/tex] [tex]\beta[/tex] =[tex]12^{2}/24[/tex] =6 weeks
V(x)=[tex]\alpha \beta ^{2}[/tex] [tex]\alpha[/tex]=24/6= 4
Now we can find the solutions:
The excel formula used to create Figure one is as follows:
=gammadist(X,[tex]\alpha[/tex] ,[tex]\beta[/tex] , False)
P([tex]12\leq X\leq 24[/tex])
P([tex]12/6 \leq X\leq 24/6[/tex])
P([tex]2\leq X\leq 4[/tex])
P= 0.424
Therefore, the probability that the transistor will last between 12 and 24 weeks is 0.424
b) For this case we want this probability:
[tex]P(X\geq 24)=1-P(X\leq 24)[/tex]
In order to find this probability we can use excel with the following code:
=1-GAMMA.DIST(24,4,6,TRUE)
And we got:
[tex]P(X\geq 24)=P(1-X\leq 24)= 0.567[/tex]
c) For this case the median of the lifetime distribution is less than 24
[tex]P(X\leq \alpha )[/tex] = 0.5 (by definition) So [tex]\alpha[/tex]< 24 because P([tex]X\leq 24[/tex])=0.567 which is greater than 0.5
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Which expression is equivalent to (8−2 • 35)−2?
100 points and brainliest
Answer: -64
Step-by-step explanation:
(8−2 • 35)−2
8-70-2
8-72
-64
Answer:
(8 - 2 • 35) - 2 = -64
Step-by-step explanation:
Given problem,
→ (8 - 2 • 35) - 2
Let's solve the problem,
→ (8 - 2 • 35) - 2
→ (8 - (2 × 35)) - 2
→ (8 - 70) - 2
→ -62 - 2
→ -64
Hence, the answer is -64.
a federal report indicated that 13% of children under age 6 live in poverty in massachusetts, an increase over previous years. how large a sample is needed to estimate the true proportion of children under age 6 living in poverty in massachusetts within 2% with 99% confidence? round the intermediate calculations to three decimal places and round up your final answer to the next whole number.
Using the concepts of statistics, we got that 2004 is the sample size needed to estimate the true proportion of children under age 6 living in poverty in Massachusetts within 2% with 99% confidence.
The number of observations used to calculate estimates for the certain population is known as the sample size. The sample size was actually determined by drawing from the population. Sampling is a practice of choosing a portion of a population from which to draw conclusions about the characteristics of a entire population. A subset of the population is chosen for analysis based on the number of entities in it.
We have Margin of error(E)=0.02,
Significance level([tex]\alpha[/tex])=0.01
Proportion(p)=0.13
Therefore, q is defined by =1-p
=> q =1-0.13
=>q=0.87
So, the Z-score is 2.582
Now, we know that sample size(S) is given by
=>S =[ [ [Z²×p×(1-p)] / e²] / [1+(Z²×p×(1-p)/e²)] ]
=>S=[ [ ( 2.582)²×0.13×0.87/(0.02)²] / [1 + [(2.582)²×0.13×0.87] / (0.02)²]
=>S= ([0.754/0.0004] / [1+(0.754/0.0004)])×1000
=>S=([885.01] / [1+1885.01]) × 1000
=>S=(0.200351)×1000
=>S=2003.51=2004 (approx)
Hence, a federal report indicated that 13% of children under age 6 live in poverty in Massachusetts, an increase over previous years in that case size of sample which is needed to estimate the true proportion of children under age 6 living in poverty in Massachusetts within 2% with 99% confidence is 2004.
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on a map, 3/4 inch corresponds to an actual distance of 4 miles. how many square miles of actual area does a 3.5-inches-by-10-inches region of the map represent?
The actual area represented by 3.5-inches-by-10-inches on map is 995.5 miles.
As the measure of 3/4 inch is provided, working out the calculation for 1 inch.
3/4 inch = 4 miles
1 inch = (4×4)/3
1 inch = 16/3
1 inch = 5.33 miles
Now, the actual area of the region = 3.5 × 10
The actual area of the region = 35 inches²
Converting the area in square miles
The actual area of the region = 35 × (5.33)²
Taking square on Right Hand Side of the equation
The actual area of the region = 35 × 28.4
Performing multiplication on Right Hand Side of the equation
The actual area of the region = 995.5 square miles
Thus, the actual area of the region is 995.5 square miles.
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Dominic needs a new bike mirror. His old mirror was a square with a side length of 9 cm. He wants the new mirror to have an area as close as possible to his old bike mirror.
The new mirror must have at least 81 cm² of the area.
What is the area of the square?The area of the square is defined as the product of the length and width.
As per the given question, we have
Dominic requires a new bicycle mirror. His old mirror was a square with a 9-cm side length.
He wants the replacement mirror to have an area that is as near to his previous bike mirror as feasible.
We have to determine the area of the previous bike mirror.
The area of the previous bike mirror = (side length)²
The area of the previous bike mirror = (9)² = 9 x 9
The area of the previous bike mirror = 81 cm²
So the new mirror must have greater than 81 cm² of area.
Thus, the new mirror must have at least 81 cm² of the area.
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Answer:
5 cm
Step-by-step explanation:
hope this helps
find the domain and range of the function !! NEED NOW
Answer:
Domain = { -2 , 0 , 2 , 4 }
Range = { 3 }
Step-by-step explanation:
Domain is the x-values that the Function have and Range is the y-values that the Function have corresponding to these x-values
Since the x-values for the Function attached are -2 , 0 , 2 , 4
and the y-values for the Function is 3
Then the Domain = { -2 , 0 , 2 , 4 }
and the Range = { 3 }
Glad to Help
What is the Range of the data set
Answer:
The range of the data set is 16.
Step-by-step explanation:
The range of a box plot is the difference between the maximum and minimum value. To find the range of the given box plot, we can simply subtract the value located at the lower whisker from the value located at the upper whisker.
18 - 2 = 16
Hope this helps :)
(2x-5)(x+2) write the area as a product and a sum
Answer:
2x^2 -x -10 is the answer as a product
3x-3 as a sum
Step-by-step explanation:
Assuming (2x-5)(x+2)=0
Let's distribute.
(2x^2+4x)(-5x-10)=0
Then combine like terms
2x^2 -x -10 is the answer as a product
3x-3 as a sum
in a certain year, 13,839 professional train pushers are diagnosed with carpal tunnel. the top cities for such diagnoses are tokyo with 2,551, osaka with 3,049, and kyoto with 1,436. if a professional train pusher recently diagnosed with carpal tunnel is randomly selected, what is the probability that they are from somewhere other than tokyo, kyoto or osaka?
Probability that the professional other than Tokyo, Kyoto or Osaka is 6803/13839.
Total number of professional train pushers who are diagnosed with carpal tunnel is 13839
Number such professional from Tokyo = 2551
Number such professional from Osaka = 3049
Number such professional from Kyoto = 1436
So, number such professional from other than these three cities = 13839 - (2551+3049+1436) = 6803
Hence the probability that the professional other than Tokyo, Kyoto or Osaka is = 6803/13839
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Write the equation in slope-intercept form.
y-6=-3(x + 2)
Sara has a box of markers. In the box are 5 red markers, 3 blue markers, 9 purple markers,
and 3 pink markers. If she reaches into the box and randomly pulls out a marker, what is the
probability that Sara will pick a blue marker?
The probability that Sara will pick a blue marker is 3/20.
What is probability?
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Math's to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen.
Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.
Given,
the box contains red markers = 5
blue marker = 3
purple marker = 9
pink markers = 3
Total number of markers = 20
The probability that she picks blue marker = 3/20
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The length and width of a rectangle are consecutive integers. The perimeter of the
rectangle is 54 centimeters. Find the length and width of the rectangle.
Answer:
length = 13 cm , width = 14 cm
Step-by-step explanation:
let the length be n , then the width is n + 1
the perimeter (P) of a rectangle is calculated as
P = 2(l + w) ← l is the length and w the width
given P = 54 , then
2(n + n + 1) = 54 ( divide both sides by 2 )
2n + 1 = 27 ( subtract 1 from both sides )
2n = 26 ( divide both sides by 2 )
n = 13
n + 1 = 13 + 1 = 14
so, length = 13 cm and width = 14 cm
Line g has an equation of y= 1 3 x–1. Parallel to line g is line h, which passes through the point (10,2). What is the equation of line h?
need answer ASAP
Omar compro 3.5k de cebolla a 8.90 el kilo. Cuanto pago por las cebollas
The amount that Omar will pay when he bought 3.5k of onions are 8.90 per kilo is $31.15.
What is money?From the information given, Omah wants to know the total amount that he will pay for the onions. It's important to know the cost for each kilogram of onion and then multiply it but the number of kilograms that are bought.
In this case, Omar bought 3.5k of onions are 8.90 per kilo.
The amount that Omar will pay for the onions will be:
= Number of kilograms × Cost per kg
= 3.5 × 8.90
= $31.15
In conclusion, the amount is $31.15.
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