Assuming a normal distribution, families spends an average of $500 on their monthly cell phone bills with a standard deviation of $75. What is the probability a random families' bill is between $350 and $400

Answer:

(-2, -0.5)

Step-by-step explanation:

1. add the x-coordinates and then either divide by 2 or multiply by 1/2

2. add the y-coordinates and then either divide by 2 or multiply by 1/2

(-7+3)/2 = -2

(-10+9)/2 = -0.5

Have a blessed day!

Considering the definition of an inequality, the inequality that expresses the previous relationship is 12 < x ≤ 12.2

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

In this case, you know that to fit in an existing frame, the length, x, of a piece of glass must be longer than 12 cm but not longer than 12.2 cm.

It means that the length has to be strictly greater than 12 cm but less than or equal to 12.2 cm. In other words, length of frame must be longer than 12 cm means that x>12, while ength of frame not longer than 12.2 cm means x≤12.2

Finally, the inequality that expresses the previous relationship is

12 < x ≤ 12.2

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The expression that represent the total amount Ilean earned last week is 27(18) + 75  

An equation is an expression that shows the relationship between two or more variables and numbers.

Let y represent the total amount Ilean earned last week for working x hours.

Since she worked for 27 hours and earned $75 to design a web page. Hence:

y = 27(18) + 75

The expression that represent the total amount Ilean earned last week is 27(18) + 75  

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The resulting equation written in standard form is 16x² - 22x + 6 = 0.

Quadratic Equation in Standard Form: ax² + bx + c = 0

a, b and c are known values. a can't be 0.

"x" is the variable or unknown (we don't know it yet).

The "solutions" to the Quadratic Equation are where it is equal to zero.

They are also called "roots", or sometimes "zeros"

We can Factor the Quadratic (find what to multiply to make the Quadratic Equation)

Calculation for the given equation-

Now, y=-16x²+24x+6

Substitute, y = 12+2x in y = -16x²+24x+6.

=> 12+2x = -16x²+24x+6

=> 16x²-24x-6+12+2x = 0

=> 16x²-22x+6 = 0

Therefore, the quadratic equation given in the standard form is 16x²-22x+6 = 0.

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The complete question is-

The two equations are given below;

Y = 12 + 2x   linear equation

Y = -16x² + 24x + 6  quadratic equation

If you substitute 12 + 2x for y in the second equation how is the resulting equation written in standard form?

Answer:

Step-by-step explanation:

27.068

28.08

28.15

29.94

Considering the given tree diagram, there is a 0.5 = 50% probability of an investor choosing either stocks or bonds from portfolio C.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

At each node, the sum of the probabilities is of 1, hence:

0.2 + 0.3 + Z = 1.

Z = 0.5.

There is a 0.5 = 50% probability of an investor choosing either stocks or bonds from portfolio C.

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Using proportions, it is found that 66 men can leave so there will still be enough food.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Considering the situation described, the rule of three is given as follows:

4200 men - 32 days - 12 hectogram per person.

x men - 42 days - 16 hectogram per person.

Considering that the amount per person and the number of people is inverse proportional, we have that:

[tex]\frac{4200}{x} = \frac{32}{42} \times \frac{16}{12}[/tex]

[tex]\frac{4200}{x} = \frac{512}{504}[/tex]

Applying cross multiplication:

512x = 504 x 4200

x = 504 x 4200/512

x = 4134.

The amount of men that can leave is:

4200 - 4134 = 66.

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The area of the convex polygon is 43/2 square units

The vertices are given as:

(0,5), (-1,2), (4,4), (-3,-4) and (2,0)

The area is then calculated as:

[tex]A = \frac 12(\left[\begin{array}{cc}x_1&x_2\\y_1&y_2\end{array}\right] + \left[\begin{array}{cc}x_2&x_3\\y_2&y_3\end{array}\right] + ....+\left[\begin{array}{cc}x_n&x\\y_n&y\end{array}\right] )[/tex]

So, we have:

[tex]A = \frac12 * (|-1 * 5 - 2 * 0 + 0 * 4 - 5 * 4 + 4 * 0 - 4 * 2 + 2 * -4 - 0 * -3 -3 * 2 + 4 * 1|)[/tex]

Evaluate

[tex]A = \frac12 * (|-43|)[/tex]

Remove the absolute bracket

[tex]A = \frac12 * 43[/tex]

This gives

[tex]A = \frac{43}2[/tex]

Hence, the area of the convex polygon is 43/2 square units

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Answer:

X multiplied by 2 is 8

X divided by 2 is 4

Step-by-step explanation:

This is the quickest thing i can give you

It takes 165 minutes per week if 10% increase in volume for an exercising client.

A client is exercising for 150 minutes per week. I.e., 30 minutes, 5 days per week.

So, 10% increase results,

30 minutes × 10% = 3

So, the increased minutes per day = 30 + 3 = 33 minutes/day.

After the 10% increase, the minutes per day = 33 minutes

Since 5 days a week, he does exercise, the total minutes per week

= 33 × 5 = 165 minutes.

So, a 10% increase in volume would result in 165 minutes total per week.

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Answer:

I guess the first one is correct........

The probability that a male is selected, then a female is 0.26

The probability that a female is selected, then a male is 0.26

The probability that two males are selected is 0.18

The probability that two females are selected is 0.30.

The probability that no males are selected is 0.30.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that a male is selected, then a female = (11/25) x (14 / 24) = 0.26

The probability that a female is selected, then a male = (14/25) x (11 / 24) = 0.26

The probability that two males are selected = (11/25) x (10/24) = 0.18

The probability that two females are selected = (14/25) x (13 / 24) = 0.30

The probability that no males are selected =  (14/25) x (13 / 24) = 0.30

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Javid travelled by bus for 3 days using a simultaneous equation

What is simultaneous equation?

This refers to equations that are solved together in order to determine the values of unknown variables.

In this case, the total amount spent on daily bus or train can be determined as the fare price multiplied by the number of days

Let  X be the number of days that Javid took bus

total spent on bus=2.50X

Let Y be the number of days that Javid took train

total spent on train=3.50Y

Total spent=2.50X+3.50Y

14.50=2.50X+3.50Y

Secondly, X plus Y gives 5 days

5=X+Y

multiply the second equation by 2.50 and the first by 1

14.50=2.50X+3.50Y

12.50=2.50X+2.50Y

subtract the second equation from first

2=Y

substitute for Y

5=X+Y

5=X+2

X=5-2

X=3

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The number of days that he travelled by bus is; 3 days

Let  x be the number of days that Javid travelled by bus.

Let y be the number of days that Javid travelled by train.

Thus;

Total spent on bus = 2.50x

Total spent on train = 3.50y

Overall total spent is;

2.5x + 3.5y = 14.50   -----(1)

Total number of days is 5 days and so;

x + y = 5    -----(2)

Making x the subject in eq 2 gives us;

x = 5 - y     -----(3)

Put eq 3 in eq 1 to get;

2.5(5 - y) + 3.5y = 14.50

12.5 - 2.5y + 3.5y = 14.5

y = 14.5 - 12.5

y = 2 days

Thus;

x = 5 - 2

x = 3 days

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Answer:

Please see the answer below.

Step-by-step explanation:

Answer: $18.51

Step-by-step explanation:
1015cm^3/7.95cm^3/g = 127.67g

127.67g/1000g = .128

.128*$.29 = $.037

$.037*500 = $18.51

Answer:

$1170

Step-by-step explanation:

1. We know that each steel part has a volume of 1015 cubic centimeters, and the machinist wants to make 500 of these. Then the total volume of the steel part the machinist will make will be 1015 x 500.

--> 1015 x 500

--> 507500 cubic centimeters.

2. The density of the steel part is 7.95 grams per one cubic centimeter. Then the total density of the 500 steel parts will be 507500 x 7.95.

--> 507500 x 7.95

--> 4,034,625 grams.

3. For every kilo of steel part, the cost is $0.29. We should first change the 4,034,625 gram to kilo. Since 1000 grams is a kilo, we divide 4,034,625 by 1000.

--> 4,034,625 grams / 1000 = 4034.625 kilograms.

Now we multiply 4034.625 by 0.29 to find the total cost.

--> 4034.625 x 0.29

--> 1170.04125.

Since the question specifically asked to round it to the nearest dollar, our final answer becomes $1170.

Answer:

91 in2

Step-by-step explanation:

11+15 over 2 , times by 7 equals 91 ??

I don't know what the options are in the drop-down menu but the function f is symmetric around the point (4,–1) which is called the axis of symmetry. (4,–1) is the minimum of the graph.

Answer:

100

Step-by-step explanation:

If the base is 20, then 2 of the sides must have a length of 20. This means that the TOTAL length of the remaining sides is 10. (20*2) + (10) = 50. If we divide that in half, we get 5. That is the side length of the remaining 2 sides. This means that 20 * 5 will give us the area (b*h).

Given,

base, b = 20mm &

perimeter, p = 50mm.

the area of the rectangle : (50 – 20 × 2) ÷ 2 = 5. 5 × 20 = 100 [tex]mm^{2}[/tex].

Perimeter and area are two important and basic mathematical subjects. They help quantify the physical space and also provide a more advanced foundation of mathematics in algebra, trigonometry, and calculus. Perimeter is a measure of the distance around a shape, and area indicates how much area the shape covers.

The perimeter of a 2D shape is the distance around the shape. You can imagine wrapping a string around a triangle. The length of this cord is around the triangle. Or, if you're traveling outside the park, take a route that goes around the edge of the park.

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Using the binomial distribution, there is a 0.265 = 26.5% probability that at least two of them have the same number.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

For this problem, the values of the parameters are:

p = 1/65 = 0.0154, n = 65.

The probability that at least two of them have the same number is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which:

P(X < 2) = P(X = 0) + P(X = 1)

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{65,0}.(0.0154)^{0}.(0.9846)^{65} = 0.3647[/tex]

[tex]P(X = 1) = C_{65,1}.(0.0154)^{1}.(0.9846)^{64} = 0.3703[/tex]

So:

P(X < 2) = P(X = 0) + P(X = 1) = 0.3647 + 0.3703 = 0.735.

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.735 = 0.265[/tex]

0.265 = 26.5% probability that at least two of them have the same number.

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Answer:-----------

Step-by-step explanation:------------------

Answer:

???????

Step-by-step explanation:

Please tell the question so i can answer it

The population parameter value and the point estimate differ because a sample is not census of the entire population,  but it is being used to develop the point estimate.

According to the question,

The population parameter value and the point estimate differ because a sample is not census of the entire population,  but it is being used to develop the point estimate.

The sample proportion p, is a point estimate of the population proportion.

Hence, the correct answer is point estimate. Thus, the population parameter value and the point estimate differ because a sample is not census of the entire population,  but it is being used to develop the point estimate.

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The term that describes the situation is called: stabilizing selection.

Unlike disruptive selection (diversifying selection) that tends to favor extreme traits when changes occur, stabilizing selection is defined as changes in population genetics in which extreme traits are not favored, rather, traits that are of intermediate variants are most favored and selected for.

Stabilizing selection can simply be described as the exact opposite of disruptive selection.

In the scenario given, traits of producing fewer starlings or more are extreme traits that are not favored and have reduced fitness. Intermediate variants of producing moderate number of starlings that have high fitness demonstrates the type of selection that is referred by the term called: stabilizing selection.

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Answer:

Step-by-step explanation:

Let the # of liters in both containers = y when equality is reached.

Container 1: loses 6 liters / hour

Container 2: loses 3 liters / hour

Equation

35 - 6x = 29 - 3x

Solution

35 - 6x = 29 - 3x                          Subtract 29 from both sides

35 - 29 - 6x = 29 - 29 - 3x          Combine

6 - 6x = - 3x                                  Add 6x to both sides

6 - 6x + 6x = - 3x + 6x                 Combine

6 = 3x                                           Divide both sides by 3

6/3 = 3x/3

2 = x

After 2 hours they should have the same amount of water.

35 - 6(2) = 35 - 12 = 23

29 - 3*2 = 29 - 6 = 23

Answer

After 2 hours have passed, both containers should have 23 Liters each.

A. True

Step by step explanation:

1. if we where given a graph and told to determine whether it's a function or not, we would have used a VERTICAL LINE TEST.

2. In this case we have points, and for every x value we have one corresponding y value which makes it a function that is a ONE-TO- ONE FUNCTION

Answer:

240.5 cm and 139.5 cm, respectively

Step-by-step explanation:

101 cm / 2 = 50.5 cm

The right edge of the mirror is 50.5 cm to the right of the center line.

The right end of the wall is 190 cm from the center line.

190 cm - 50.5 cm = 139.5 cm

139.5 cm + 101 cm = 240.5 cm

240.5 cm and 139.5 cm, respectively

Answer:

6) Selling price =  ₹ 1608

   Labelled price =  ₹ 2010

7) Profit percentage = 10.5%

Step-by-step explanation:

Finding the selling price:

6) Cost Price =  ₹ 1200

          [tex]\sf Profit = 33\dfrac{1}{3} \% * Cost\ price\\\\[/tex]

                    [tex]\sf = \dfrac{102}{300}*1200\\\\ = 102 * 4\\\\[/tex]

                    =  ₹ 408

Selling price = Cost price + Profit

                     = 1200 + 408

                     =  ₹ 1608

      Let the labelled price = x

             Discount % = 20%

     (100-20)% of x  = 1200 + 408

            80%  of  x  = 1608

                           [tex]\sf x = 1608*\dfrac{100}{80}\\\\[/tex]

                           x = ₹ 2010

Answer: Selling price =  ₹ 1608

             Labelled price =  ₹ 2010

7) Let the Cost price =  ₹ X

Marked price = (100 + 30)% of  Cost price

                       [tex]\sf = \dfrac{130}{100}X\\\\ = 1.3 X[/tex]

Discount% = 15%

Selling price = (100 - 15)% of 1.3X

                     = 85% * 1.3X

                     = 0.85 * 1.3X

                     = 1.105X

[tex]\sf \boxed{\bf Profit \% =\dfrac{Selling \ price - Cost \ Price}{Cost \ price }*100}[/tex]

             [tex]\sf = \dfrac{1.105X - X}{X}*100\\\\ = \dfrac{0.105X}{X}*100\\\\ = 0.105*100\\\\ = 10.5 \%[/tex]

From the information given, the rotated triangle is same as the original triangle. This is because, vertices of the rotation remain at the origin - (0,0).

Notice that the question states:  △A'B'C' is the image of △ABC. Given that the △ without primes is the original and the one with primes depict the rotated triangle,

under a rotation about the origin, (0,0) (0,0) (0, 0), indicating no movement,

△A'B'C' is in the same position with △ABC.

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Answer: D: 60 degrees

Step-by-step explanation:

khan

The circumference of the circle and round to the nearest tenth is 25.1 yds

The formula for calculating the circumference of a circle is expressed as:

C = 2πr

Given the following

radius r = 4yds

Substitute

C = 2(3.14)(4)

C = 25.12 yds

Hence the circumference of the circle and round to the nearest tenth is 25.1 yds

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