g In a random sample of 60 shoppers chosen from the shoppers at a large suburban mall, 36 indicated that they had been to a movie in the past month. In an independent random sample of 50 shoppers chosen from the shoppers in a large downtown shopping area, 31 indicated that they had been to a movie in the past month. What significance test should be used to determine whether these data provide sufficient evidence to reject the hypothesis that the proportion of shoppers at the suburban mall who had been to a movie in the past month is the same as the proportion of shoppers in the large downtown shopping area who had been to a movie in the past month

Answer: 32, 25, and 13 are possible side lengths.

Step-by-step explanation:

The lengths of any two sides of a triangle must sum up to more than the length of the third side.

15 + 27 = 42

42 = 42

The sum has to be MORE than the third side.

15 + 27 = 42

42 > 11

15 + 11 = 26

26 < 27

The sum of two sides can't be LESS than the third side.

15 + 27 = 42

42 > 32

15 + 32 = 47

47 > 27

27 + 32 = 59

59 > 15

Possible Side Length!

15 + 27 = 42

42 < 45

Can't be less

15 + 27 = 42

42 > 25

15 + 25 = 40

40 > 27

27 + 25 = 52

52 > 15

Possible Side Length!

15 + 27 = 42

42 > 13

15 + 13 = 28

28 > 27

27 + 13 = 40

40 > 15

Possible Side Length!

Answer:

13

Step-by-step explanation:

Divide the total amount he paid by the amount of mugs he bought to find out how much each mug cost.

54 ÷ 6 = $9

Each mug is nine dollars, INCLUDING THE SALE which is $4 off.

Add $4 to $9 to find the regular price

$4 + $9 = 13

The regular price of the mugs based on the given equation will be $13.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation.

Suppose the regular price is x.

Selling price = $4 off of x = x - 4

Number of mugs buys = 6

Paid = $54

54= 6 (x - 4)

(x - 4) = 9

x = 13

Hence "The regular price of the mugs based on the given equation will be $13".

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Answer:

I would probably choose warlock if my computer could handle it ;w;

Answer:$17.16

Step-by-step explanation:

do you have to start by subtracting the cost of the belt from the total budget: 80-28.5= 51.5. Then you can divide the remaining money by three because he’s buying three ties: 51.5/3≈ $17.16

Answer:

4

Step-by-step explanation:

Answer:

6 square inches

Step-by-step explanation:

4x3=12

12/2=6

Answer:

It's 12 from what I can remember on finding the area.

Step-by-step explanation:

I'm pretty sure that you add them all together and don't quote me on this but if you add 5 and 4 you get 9 then add 3 and you get 12. Hope this helped!

Answer:

the third angle of the triangle is 62°

62 grad

Step-by-step explanation:

Answer:

a) 0.0498 = 4.98% probability that the number of pieces of junk mail you receive next week will be none at all.

b) 0.1680 = 16.80% probability that the number of pieces of junk mail you receive next week will be exactly four.

c) 0.4232 = 42.32% probability that the number of pieces of junk mail you receive next week will be no more than two.

d) 0.5768 = 57.68% probability that the number of pieces of junk mail you receive next week will be more than two.

Step-by-step explanation:

We have only the mean, which means that we use the Poisson distribution to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

You find that you receive on average about 3 pieces of junk mail per week.

This means that [tex]\mu = 3[/tex]

(a) none at all.

This is P(X = 0).

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498[/tex]

0.0498 = 4.98% probability that the number of pieces of junk mail you receive next week will be none at all.

(b) exactly four.

This is P(X = 4).

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 4) = \frac{e^{-3}*3^{4}}{(4)!} = 0.1680[/tex]

0.1680 = 16.80% probability that the number of pieces of junk mail you receive next week will be exactly four.

(c) no more than two.

This is:

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498[/tex]

[tex]P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494[/tex]

[tex]P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.224[/tex]

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0498 + 0.1494 + 0.224 = 0.4232[/tex]

0.4232 = 42.32% probability that the number of pieces of junk mail you receive next week will be no more than two.

(d) more than two

[tex]P(X > 2) = 1 - P(X \leq 2) = 1 - 0.4232 = 0.5768[/tex]

0.5768 = 57.68% probability that the number of pieces of junk mail you receive next week will be more than two.

Answer:

15 minutes it what we call it pretty sure its 10

Step-by-step explanation:

Answer:

15min or a quarter of an hour.

Step-by-step explanation:

Answer:

a) The line intersects with the circle once.

b) Tangent

Step-by-step explanation:

We are given the following equation for the circle:

[tex]x^2 + y^2 = 36[/tex]

How many times does the line y=-6 intersect with the circle?

We have to find the values of x when [tex]y = -6[/tex]

So

[tex]x^2 + y^2 = 36[/tex]

[tex]x^2 + (-6)^2 = 36[/tex]

[tex]x^2 + 36 = 36[/tex]

[tex]x^2 = 0[/tex]

[tex]x = 0[/tex]

Since the line intersects the circle at one point, it is tangent to the circle.

The line intersects with the circle once.

Answer:y=x+0

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yes

Answer:

it's no

Step-by-step explanation:

6 = 5(2) - 4

7 = -1/2(2) + 8

they don't meet at (2,6)

B. 448 square meters

Step-by-step explanation:

I cut it into two rectangles

12cm by 4 cm for the first rectangle = 48cm

22cm by 8 cm for the second = 176cm

add areas together = 224cm

convert to meters = 448 square meters

hope this helps comment for more

Answer:

Trapezoid, E, is the correct answer.

Answer:

1) no solution

2) no solution

Step-by-step explanation:

7(2 + 5v) = 3v +14

14 + 35v = 3v + 14

The 14s cancel each other out.

35v ≠ 3v

no solution

36 - 7p = -7(p - 5)

36 - 7p = -7p + 35

The -7s cancel each other out.

36 ≠ 35

no solution

Answer:

The scale factor is (2/3)

Step-by-step explanation:

[tex]9 \times \frac{2}{3} = 6 \\ 12 \times \frac{2}{3} = 8[/tex]

I hope that is useful for you :)

Answer: B

Step-by-step explanation:

Answer: The system we need to use is:

A = T - 3

A = (2/3)*T

Solving this, we get:

In a bag, there are 9 tangerines and 6 apples.

Step-by-step explanation:

The question seems to be incomplete, by a quick online search i've found the complete question:

"A fruit stand sells bags of apples and tangerines. • Each bag has 3 fewer apples than tangerines. 2 • In each bag, the number of apples is 2/3 the number of tangerines..."

We know that:

A = number of apples in one bag

T = number of tangerines in one bag

We also know that:

"Each bag has 3 fewer apples than tangerines"

This can be written as:

A = T - 3

"In each bag, the number of apples is 2/3 the number of tangerines"

This can be written as:

A = (2/3)*T

Then we have a system of equations:

A = T - 3

A = (2/3)*T

This is the system of equations that can be used to solve for A and T, now let's solve this.

Because A means the same thing in both equations, then we can write:

A = T - 3 = A = (2/3)*T

Then:

T - 3 = (2/3)*T

We can solve this for T.

T - 3 = (2/3)*T

T - (2/3)*T = 3

(1 - 2/3)*T = 3

(1/3)*T = 3

T = 3/(1/3) = 3*3 = 9

This means that in each bag we have 9 tangerines in a bag.

Now we can use any of the two equations in the system to find the value of A.

I will use the first one:

A = T - 3

Now let's replace T by 9, then:

A = 9 - 3 = 6

A = 6

So there are 6 apples in a bag.

Answer:

693 apples

Step-by-step explanation:

126 x 8 = 1,008

1,008 - 126 (1 bushel) = 882

1,008 - 126 (another bushel) = 756

126/2 = 63

756 - 63 (1/2 bushel) = 693

sorry, the correct answer is 693 apples left

Answer:

There is insufficient statistical evidence at 5% significant level to conclude that Brand B machines have a lower variance in quality

Step-by-step explanation:

The given parameters are;

The number of units of the sample from Brand A, n₁ = 12 units

The standard deviation of the quality characteristic of Brand A, s₁ = 15.2

The number of units of the sample from Brand A, n₂ = 20 units

The standard deviation of the quality characteristic of Brand B, s₂ = 10.1

The null Hypothesis; H₀; s₁² = s₂²

The alternative Hypothesis; H₀;  s₂²< s₁²

The difference of two variance formula;

The F test statistic is given as follows;

[tex]F = \dfrac{S_1^2}{S_2^2}[/tex]

Where;

S₁² = The variance of sample (1) = 15.2² =  231.04

S₂² = The variance sample (2) = 10.1² = 102.01

df₁ = n₁ -1 = 12 - 1 = 11

df₂ = n₂ - 1 = 20 - 1 = 19

From the F table, we have the critical value from the F table = 2.66

[tex]F = \dfrac{S_1^2}{S_2^2} = \dfrac{231.04}{102.01} \approx 2.265[/tex]

Therefore, given that F ≈ 2.265 is not larger than the critical F for α = 0.05, we do not reject the null hypothesis, and there is sufficient statistical evidence at 5% significance level to conclude that Brand B machines have the same variance in quality as Brand A machines

Answer:

y = -3× + 1

Step-by-step explanation:

rise / run = 3 / -1 = -3

y intercept = 1

therefore y = -3× + 1

Answer:

a. (3x² - 2x - 5) units²

b. (x² - x) units²

c. (2x² - x - 5) units²

Step-by-step explanation:

a. Area of the frame = L*W

L = (x + 1) units

W = (3x - 5) units

Area of the frame = (x + 1)(3x - 5)

Apply distributive property

x(3x - 5) +1(3x - 5)

3x² - 5x + 3x - 5

Area of the frame = (3x² - 2x - 5) units²

b. Area of the picture = L*W

L = x units

W = (x - 1) units

Area of the picture = x(x - 1)

Apply distributive property

= x² - x

Area of picture = (x² - x) units²

c. Area of the frame that surrounds the picture = area of frame - area of picture

= (3x² - 2x - 5) - (x² - x)

= 3x² - 2x - 5 - x² + x (distributive property)

Add like terms

= 3x² - x² - 2x + x - 5

= 2x² - x - 5

Area of the frame that surrounds the picture = (2x² - x - 5) units²

Answer:

H=-6t^2+38t+1

Step-by-step explanation:

Answer: plate tectonics

Step-by-step explanation:Most earthquakes and volcanic eruptions do not strike randomly but occur in specific areas, such as along plate boundaries. One such area is the circum-Pacific Ring of Fire, where the Pacific Plate meets many surrounding plates. The Ring of Fire is the most seismically and volcanically active zone in the world.

Earthquakes

Answer: hi how are you i

Answer:

30 inches wide by 40 inches long

Step-by-step explanation:

27 inches rounds up to 30 inches and 42 inches rounds down to 40 inches

Answer: See the diagram below

There are infinitely many ways to do this. So there isn't one set answer. However, all of the answers have these properties in common.

In the diagram below, I've made distribution B wider and more spread out compared to distribution A. Distribution B has a higher standard deviation. The larger the standard deviation is, the more spread out the data values will be. Standard deviation is always some positive number.

Both distributions are centered at 0, which is the mean. You could change the center to whatever you want, but make sure both distributions have this same center value.

As the diagram shows, each curve is symmetric about the center point. The left half can be reflected over the center line to get the right half, and vice versa. The curves peak at the center because this is where the majority of the data values are located. As you move to either end, the curve levels off to indicate not as many individuals are found here.

The parabola x = ay^2 opens (a) left, if a is negative

The equation of the parabola is given as:

x = ay^2

From the question, we understand that a is negative

This means that

a < 0

When a is negative, then the parabola opens to the left

Hence, the parabola opens (a) left

Read more about parabolas at:

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