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Wewaii [24]
3 years ago
10

The length of a rectangle is 2 ft shorter than 5 times its width, x. The area of the rectangle is less than 100 f12.

Mathematics
1 answer:
Ierofanga [76]3 years ago
7 0

Answer:

A

Step-by-step explanation:

Area of rectangle  = length x width

length = 5x - 2

width = x

area = (5x - 2) × x

100 = 5x² - 2x

the width would be less than the area of the rectangle, thus the inequality sign to be used is <

5x² - 2x < 100

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You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly different from 0.36. With
Dafna11 [192]

Answer:

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.36 so then we need to conduct a two tailed test, the system of hypothesis are.:  

Null hypothesis:p=0.36  

Alternative hypothesis:p \neq 0.36  

Since is a bilateral test the p value would be:  

p_v =2*P(z>2.074)=0.0381  

Step-by-step explanation:

Data given and notation n  

n represent the random sample taken

\hat p estimated proportion of interest

p_o=0.36 is the value that we want to test

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.36 so then we need to conduct a two tailed test, the system of hypothesis are.:  

Null hypothesis:p=0.36  

Alternative hypothesis:p \neq 0.36  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion  is significantly different from a hypothesized value .

Calculate the statistic  

For this case the statistic is given:

z = 2.074

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z>2.074)=0.0381  

5 0
3 years ago
The cost of a square meter to cover a circular pool is $2.50. How much would it cost to cover the area of a pool that has a diam
77julia77 [94]

Answer:multiply 2.50 by 25 I think

Step-by-step explanation:

6 0
2 years ago
Determine the nth term rule and find the 45th term for the arithmetic sequence with a10=1 and d-6
kari74 [83]

Answer: -209

Step-by-step explanation:

Formula for arithmetic progression

= a + (n - 1)d

Since a10 = 1 and d = -6

a10 = a + 9d

a + 9(-6) = 1

a - 54 = 1

a = 1 + 54

a = 55

Therefore, 45th term = a + (n - 1)d

= a + (45 - 1)d

= a + 44d

= 55 + 44(-6)

= 55 - 264

= -209

4 0
3 years ago
List elements in..<br> {x | x is an even counting number smaller than 8}
ohaa [14]

Answer:

x l 0 2 4 6

Step-by-step explanation:

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3 years ago
What is one-ninth times negative one and three over one?
denis23 [38]

Answer:

I think the answer is one over three

5 0
3 years ago
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