Twelve hungry teenagers can devour a very large pizza in $20$ minutes. How many teenagers would it take to finish a very large pizza in $15$ minutes

Using the z-distribution, it is found that the sample is enough evidence that the proportion is below 51%.

At the null hypotheses, it is tested if the proportion is of 51%, that is:

[tex]H_0: p = 0.51[/tex]

At the alternative hypotheses, it is tested if the proportion is less than 51%, hence:

[tex]H_1: p < 0.51[/tex].

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

In this problem, the parameters are given as follows:

[tex]p = 0.51, n = 250, \overline{p} = \frac{109}{250} = 0.436[/tex]

Hence, the test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.436 - 0.51}{\sqrt{\frac{0.51(0.49)}{250}}}[/tex]

z = -2.34.

Considering a left-tailed test, as we are testing if the proportion is less than a value, with a standard significance level of 0.05, the critical value is of [tex]z^{\ast} = -1.645[/tex].

Since the test statistic is less than the critical value for the left tailed test, we reject the null hypothesis, and find that the sample is enough evidence that the proportion is below 51%.

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Answer:

5 right/left , 3 up/down

Step-by-step explanation:

Looking at the Graph count the rise/run of a point.

Answer:

(7,2)

Step-by-step explanation:

we know (7,2) is the answers based on the evidence given in the example before

Answer:

The volume is 627 meters cubed

Step-by-step explanation:

First we find the area of the base with this formula:

(11*6)/2

Next you would multiply the area of the base by the height:

33*19

✅Now your final answer should be 627!

Answer: -35.375 or -283/8

Step-by-step explanation:

Begin with the parenthese: (-1.5+9.5)=8 and (7+11)

Then you have 5/8+0.4(18)/-0.2.

Multiply 0.4 times that 18 and you get 7.2.

Then you have 5/8+7.2/-0.2

Simplify 7.2/-0.2 which equals -36

Then you have 5/8+-36

5/8+-36=-35.375 or in fraction form -283/8

Answer:

111

Step-by-step explanation

I took the quiz

Answer:

11117.01255

Step-by-step explanation:

V=πr^2h=π·19.3^2·9.5≈11117.01255

Answer: 3× -3

Step-by-step explanation: Open the bracket by multiplying 3 with both sides

Answer is C

Answer:

C

Step-by-step explanation:

3× x+3×-1)

The brackets just just mean multiply everything outside with everything inside

Answer:

>

Step-by-step explanation:

3/6 and 1/4

3/6 = 1/2

1/2 = 2/4

2/4 > 1/4

The weights are within 2 standard deviations of the mean are 8.9 lbs, 9.5 lbs and 10.4 lbs

The given parameters are:

The weights within 2 standard deviation is represented as:

μ - 2σ ≤ x ≤ μ + 2σ

Substitute known values

9.5 - 2(0.5) ≤ x ≤ 9.5 + 2(0.5)

Evaluate the product

9.5 - 1 ≤ x ≤ 9.5 + 1

Evaluate the sum

8.5 ≤ x ≤ 10.5

This means that the weights are between 8.5 and 10.5 (inclusive)

Hence, the weights are within 2 standard deviations of the mean are 8.9 lbs, 9.5 lbs and 10.4 lbs

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Answer:

B C D

Step-by-step explanation:

I got it right on the quiz. :)

Answer:

x^2/6400 + y^2/900

Step-by-step explanation:

Just did the question on odyssey

The standard equation of a semi-ellipse, with its major axis would be; x^2/6400 + y^2/900

The standard equation of the ellipse centered at the origin behind the shape of the arch is presented below:

[tex]\dfrac{x^2}{a^2} + \dfrac{y^2}{b^2} = 1[/tex]....... (1)

Where x is Horizontal distance, in feet.

y is Vertical distance, in feet.

a is Horizontal semiaxis length (half-width), in feet.

b is Vertical semiaxis length (height), in feet.

We are given that arch is in the form of a semi-ellipse, with its major axis as the span. If the span is 80 feet and the height is 30 feet.

a = 80

b = 30

Then the equation becomes as;

x^2/6400 + y^2/900

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Answer:

The mean is 7.2 and the median ( average) is 8

Step-by-step explanation:

4 + 10 + 8 + 9 + 5 = 36 / 5

The mean is 7.2 and the median ( average) is 8

Answer:

7.2 is the average.

8 is the median.

Step-by-step explanation:

Average = Sum/count

36/5 = 7.2

To find the median, you can take away numbers one by one on each side of the numerical order until you get down to the last number(s) in the middle. 8 is the middle number.

Answer:

use gauth math it really helps you

The perimeter of the actual logo in inches whose base is 8 inches, height is 3 inches, and side length is 4 inches be,

Perimeter= 6 inches

A scale factor is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.

The scale drawing of parallelogram having dimensions,

Perimeter of scale drawing of parallelogram be,

= 2 ( length + side length)

= 2( 8 + 4 )

= 2 x 12

= 24 inches

The drawing has a scale of 4: 1 (Here 4 represent for scale diagram and 1 represent for the actual diagram)

As scale factor,=  [tex]\frac{Perimeter \;of\; Scale\; logo}{Perimeter \;of \;Actual\; logo}[/tex]

[tex]\frac{4}{1} = \frac{24}{Perimeter\; of \; Actual\; logo}[/tex]

Perimeter of Actual logo =[tex]\frac{24}{4}[/tex]

                                         = 6 inches

Hence, the perimeter of Actual logo is 6 inches.

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Tuff question..

Here we go..

[tex]\qquad \sf{2x + 1 = 5} [/tex]

[tex]\qquad \sf{2x = 5 - 1} [/tex]

[tex]\qquad \sf{2x = 4} [/tex]

[tex]\qquad \sf{x = 4÷2} [/tex]

[tex]\qquad \sf{x = 2} [/tex]

I hope it helps you friend.

Step-by-step explanation:

2x+1=5

2x=5-1

x=4/2

x=2

Answer:

Step-by-step explanation:

enlarging the photograph by 2.5x means multiplying all of the sides of the photograph 2.5 times

Then

the dimensions of the enlarged photograph are:

Width = 4 ×2.5 = 10

Length = 6 ×2.5 = 15

Answer:

Ravi and Courtney

Step-by-step explanation:

Simplifying the equations

Penny

Ravi

Courtney

Edwin

Ravi and Courtney would have infinitely many solutions because they are the same equation.

Answer:

Ravi and Courtney have the same equation so they will have infinetely many solutions.

Step-by-step explanation:

Step 1:  Solve each equation for y

Penny → [tex]2x - y = 1[/tex]

           → [tex]-y + 2x - 2x = 1 - 2x[/tex]

           → [tex](-y) * -1 = (1 - 2x) * -1[/tex]

           → [tex]y = 2x - 1[/tex]

Ravi → [tex]2x + 3y = 3[/tex]

       → [tex]3y + 2x - 2x = 3 - 2x[/tex]

       → [tex](3y)/3 = (3 - 2x)/3[/tex]

       → [tex]y = -2/3x + 1[/tex]

Courtney → [tex]-4x - 6y = -6[/tex]

                → [tex]-6y - 4x + 4x = -6 + 4x[/tex]

                → [tex](-6y)/-6 = (-6 + 4x)/-6[/tex]

                → [tex]y = -2/3x + 1[/tex]

Edwin → [tex]6x + 6y = 9[/tex]

           → [tex]6y + 6x - 6x = 9 - 6x[/tex]

           → [tex](6y)/6 = (9 - 6x)/6[/tex]

           → [tex]y = -x + 1.5[/tex]

Answer: Ravi and Courtney have the same equation so they will have infinetely many solutions.

Answer:

Profit means your business is making more money than it spends to stay in business so yes.

Answer:

abacus, leibniz, slide rule and pascal calculator, difference engine, analytical engine, tabulating machine

Step-by-step explanation:

Answer:

$31.86

Step-by-step explanation:

You can use a proportion here.

37.05 = 100%

x = 86% (100%-14% which is a delivery fee)

x = (37.05*86)/100

x = 3186.3/100

x = 31.86

The cost of their dinner before the delivery fee was $31.86.

I hope that I helped :)

Answer: X/3

Step-by-step explanation:

Asher = 3 Camilla

If Asher is X, then X is 3C and C= X/3

The regression equation of sales of coffee is ŷ = -22.7x + 130.3, and the regression equation of sales of tea is ŷ = -22.7x + 119.0

The dataset of coffee is given as:

Price: 1.50 2.20 2.70 2.50 2.90 2.00 1.60 2.10 3.00 1.80

Sales: 96 79 70 73 64 85 94 83 63 91

Using a graphing calculator, we have the following calculation summary:

The regression equation is represented as:

ŷ = bx + a

So, we have:

ŷ = -22.7x + 130.3

The dataset of tea is given as:

Price: 2.40 1.50 1.10 1.60 2.50 1.30 1.00 1.70 2.20 2.00

Sales: 64 85 94 83 63 91 96 79 70 73

Using a graphing calculator, we have the following calculation summary:

The regression equation is represented as:

ŷ = bx + a

So, we have:

ŷ = -22.7x + 119.0

Hence, the regression equation of sales of coffee is ŷ = -22.7x + 130.3, and the regression equation of sales of tea is ŷ = -22.7x + 119.0

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Answer:

Refer to image below :

The surface area of a rectangular prism is 1220 cm^2.

A rectangular prism is a 3-d solid shape that has 6 rectangular faces in which all the pairs of opposite faces are congruent. It has 8 vertices, 6 faces, and 12 edges.

For the given situation,

A rectangular prism has dimensions,

Length = 17 cm

Breadth = 14 cm

Height = 12 cm

The formula to find the surface area is A= ( lb + bh +lh)

⇒ [tex]A=2[(17)( 14) + (14)( 12) + (17)( 12)][/tex]

⇒ [tex]A=2(238+168+204)[/tex]

⇒ [tex]A=2(610)[/tex]

⇒ [tex]A=1220 cm^{2}[/tex]

Hence we can conclude that the surface area of a rectangular prism is 1220 cm^2.

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Transforming the rectangle WXYZ involves changing the location of the rectangle

The algebraic representation of the transformation is (x, y) → (x, -y)

From the complete question, we have the coordinates of points W and Z to be:

W = (-3,1)

Z = (2,1)

And the new points are:

W = (-3,-1)

Z = (2,-1)

Notice that the x-coordinates remain the same, while the y-coordinates are negated.

This is represented as:

(x, y) → (x, -y)

Hence, the algebraic representation of the transformation is (x, y) → (x, -y)

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At max a rotation can be equal to π or 180°

So if it's rotated 110° counterclockwise then it's equal to rotation of supplementary angle clockwise

Supplementary angle=180-110=70°

70° rotation clockwise

When a shape is rotated counterclockwise 110 degrees about the origin, the rotation is described as 70 degrees clockwise.

The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.

A shape is rotated counterclockwise 110 degrees about the origin which is given in the question

A rotation can have a maximum of 180 degrees.

So a rotation of 110 degrees counterclockwise equals a rotation of supplementary angle clockwise.

According to the property of supplementary angle,

⇒ 180° - 110°

⇒ 70°

Thus, when a shape is rotated counterclockwise 110 degrees about the origin, the rotation is described as 70 degrees clockwise.

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Answer:

36

Step-by-step explanation:

FRIEND ME AM SMART

Answer:

Area = 35

Step-by-step explanation:

Area = base * height

A=b*h=7*5=35

Answer:

option (A) —Permutation.

Step-by-step explanation:

this is because permutation comes in this form and looks like that and I have learnt permutation in the past.

so yeah;

examples of permutations:

²⁰p9 ( 20 upper case, 9 lower case and p in-between)

we can solve it by

Formula: n!/(n-r)!

soooo

20!/(20-9)!

= 20!/(11)!

=20x19x18x17x16x15x14x13x12x11!/11!

we cancel out the 11!s (for easier solving)

and multiply or cancel out the remaining ( if you can't cancel out yet just multiply)

we get,

6.09493248 x 10¹⁰

~ 6 x 10¹⁰

there you go.( I know I did a little bit too much)

Hope this helps

Good luck.

Answer:

Yes

Step-by-step explanation:

Money to put into Savings Account

20% of $250.00 = 0.2 × $250.00

                            = $50.00

Cost of Jeans with sales tax

$75.00 + 5% = 105% of $75.00

                      = 1.05 × $75.00

                      = $78.75

Cost of Coat with sale tax

$110.00 + 5% = 105% of $110.00

                      = 1.05 × $110.00

                      = $115.50

Total money spent

= $78.75 + $115.50

= $194.25

Money left

= $250.00 - $194.25

= $55.75

$55.75 > $50.00

As the money left is more than 20% of $250.00 she does still have the money she planned to put into her savings account.

Step-by-step explanation:

100-20=80%

80%=4/5

4/5×60/1=48

48 boys but let me know if its wrong!