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3 years ago

The table shows the price of admission at eight theaters.

Mathematics

2 answers:

Nostrana [21]3 years ago

3 0

The answer would have to be 11.00 if im correct.

PilotLPTM [1.2K]3 years ago

3 0

Answer: The mean absolute deviation of the data set is 8.8125

Step-by-step explanation:

First find the mean of the data by adding all data points together then divide by the number of data points. 5.00+7.50+8.25+8.00+9.75+10.25+11.00+10.75=70.5

70.5÷8=8.8125

Secondly, find the absolute value of the mean. In short, the absolute value of any number is the same number but positive.

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Identify each pair of angels as corresponding alternate interior alternate exterior same side interior vertical or adjacent

dangina [55]

Where’s the diagram?

3 0

3 years ago

The equation of a parabola is 18(y−5)2=x+3 .

Bad White [126]

1/8(y−5)²=x+3
(y-5)² = 8(x+3)

The formula of parabola in standard form
(y-k)² = 4p(x-h), (h, k) - vertex, (h+p, k) focus
For our parabola
vertex (-3,5)
4p=8
p=2
This is a horizontal parabola because y².
So to find the coordinates of the focus we need to add to x coordinate of vertex.
(-3+2, 5) = (-1,5) focus
Correct answer is (-1,5).

6 0

3 years ago

A survey of 300 union members in New York State reveals that 112 favor the Republican candidate for governor. Construct the 98%

Luden [163]

Answer:

a) z = 2.327

b) The margin of error is of 0.065.

c) The 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate is (0.3083, 0.4383).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 300, \pi = \frac{112}{300} = 0.3733$

a) 98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $z = 2.327$ is the critical value.

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

So, applying to this question:

$M = 2.327\sqrt{\frac{0.3733(1-0.3733)}{300}} = 0.065$

The margin of error is of 0.065.

c) Find confidence interval for the problem.

$\pi - M = 0.3733 - 0.065 = 0.3083$

$\pi + M = 0.3733 + 0.065 = 0.4383$

The 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate is (0.3083, 0.4383).

3 0

3 years ago

HELP MEEEEEEE PLEASE

tresset_1 [31]

The answer will be d

7 0

3 years ago

Jason places a mirror on the ground 40 feet from the base of a tree. He walks backwards until he can see the top of the tree in

MakcuM [25]

Given that the angle of incidence is equal to the angle of reflection, we can state tha the angle formed by the eyes of Jason with the mirror is equal to the angle formeb by the top of the three with the same mirror.

Then, you can write this similarity equation:

[height of the eyes of Jason] / [distance from the poistion of Jason to the image on the mirror] = [height of the tree / distance from the mirror to the base of the tree]

6feet / 8feet = x/40feet

x = 40feet *[6/8] = 30 feet.

Answer: 30 feet.

4 0

3 years ago

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