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Mashcka [7]
3 years ago
14

Can someone help!!! And explain please

Mathematics
1 answer:
vlada-n [284]3 years ago
6 0

Answer:

400(π+2) feet square

Step-by-step explanation:

let x be the diagonal of the cage=40√2 at the same time it is the radius of the circle ( the tiger can go in circle)

but since the cage is part of the circle and not full turn πr²/8

area of the circleπr²+ half area square

(π(40√2)²)/8 +40²/2

3200π/8+1600/2

400π+800

400(π+2) feet square

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The researchers are concerned that the dollars spent per shopper examined in the study is too different from what has been found
Katarina [22]

Answer:

Step-by-step explanation:

Hello!

To study if the average dollars spend per shopper is different than the expected population average of $84.5 there was a sample of 120 shoppers taken and their spending habit registered.

Then the study variable is:

X: Amount of money spent by a shopper ($)

This population standard deviation is σ= $16

Using the data information I've run a normality test, with p-value: 0.3056 against the test significance level α: 0.05, the decision is to not reject the null hypothesis so there is enough statistical evidence to conclude that the study variable has a normal distribution.

X~N(μ;σ²)

I've also calculated the sample mean and standard deviation:

X[bar]= $81.01

S= $19.62

a.

If the objective is to test that the true mean spending for the population is significantly different than the expected average of 84.5, the parameter of interest is the population mean μ and the hypothesis test will be two-tailed.

H₀: μ = 84.5

H₁: μ ≠ 84.5

α:0.05

The statistic is a standard normal for one sample:

Z= \frac{X[bar]-Mu}{\frac{Sigma}{\sqrt{n} } } ~N(0;1)

Z_{H_0}= \frac{81.01-84.5}{\frac{16}{\sqrt{120} } } = -2.389

p-value two tailed  0.016894

b.

The decision rule using the p-value method is:

If p-value ≤ α ⇒ Reject the null hypothesis.

If p-value > α ⇒ Do not reject the null hypothesis.

Since the p-value is less than the significance level, the decision is to reject the null hypothesis.

c.

Using a level of significance of 5% the null hypothesis was rejected. So there is enough statistical evidence to support the researcher's claim that the true mean spending for the population is significantly different than the expected average of $84.5.

I hope it helps!

3 0
3 years ago
A hockey season ticket holder pays $99.00 for her tickets plus $3.00 for a program for each game. A second person pays $14.00 fo
ddd [48]

The two person will pay the same amount of money when they both watch 9 hockey games.

<h3>How to find the equation and use it to find cost?</h3>

A hockey season ticket holder pays $99.00 for her tickets plus $3.00 for a program for each game. Therefore,

y = 99 + 3x

where

y = total cost

x = number of game

A second person pays $14.00 for a ticket to every game but doesn't buy programs. Therefore,

y = 14x

The number of games they will have the same amount is as follows:

99 + 3x = 14x

99  = 14x - 3x

99 = 11x

x = 99 / 11

x = 9

Therefore, they will have the same amount when they watch 9 games.

learn more on equation here: brainly.com/question/14058936

4 0
2 years ago
1 and a 1/2 divided by 3/8
Musya8 [376]
1\frac{1}{2}:\frac{3}{8}=\ \ \ \ | make\ improper\ fractions\\\\&#10;\frac{3}{2}:\frac{3}{8}=\ \ \ \ \ \ | multiply\ first\ factor\ by\ inverse\ of\ the\ second\\\\&#10;\frac{3}{2}*\frac{8}{3}=\frac{3*8}{2*3}=\frac{8}{2}=4
5 0
3 years ago
Read 2 more answers
An advertisement claims a car can go from zero to 60 in 5 seconds. what is the rate of change of the car's speed?
Ugo [173]
Rate of change=(changespeed)/(changetime)=(s1-s2)/(t1-t2)
change is (0-60)/(0-5)=-60/-6=12
answer is 12 units per second
8 0
3 years ago
1. 9=8+3a-8
Bess [88]

Answer:

ID

Step-by-step explanation:

UHH

6 0
3 years ago
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