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3 years ago

In the figure below, AB is a diameter of circle P.

Mathematics

1 answer:

salantis [7]3 years ago

3 0

Answer:

( 41° * π * radius) / 180

Step-by-step explanation:

The arc measure of major arc ABC on circle P is

( 41° * π * radius) / 180 degrees.

For instance if P = 5 then see the picture, the Arc Length = 3.58

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A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. Someone in the res

AveGali [126]

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 15 \ months$

The sample size is n = 25

The sample mean is $\= x = 17 \ months$

The standard deviation is $s = 5.5 \ months$

Let assume the level of significance of this test is $\alpha = 0.05$

The null hypothesis is $H_o : \mu = 15$

The alternative hypothesis is $H_a : \mu > 17$

Generally the degree of freedom is mathematically represented as

$df = n -1$

=> $df = 25 -1$

=> $df = 24$

Generally the test statistics is mathematically represented as

$t = \frac{\= x- \mu }{\frac{s}{\sqrt{n} } }$

=> $t = \frac{ 17 - 15 }{\frac{5.5}{\sqrt{25} } }$

=> $t = 1.8182$

Generally from the student t distribution table the probability of obtaining $t = 1.8182$ to the right of the curve at a degree of freedom of $df = 24$ is

$p-value = P(t > 0.18182 ) = 0.4286$

From the value obtained we see that $p-value > \alpha$ hence

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.

7 0

3 years ago

F(x) = 2/x, g(x) = |x| -1 What is the domain of (fog) (x)? will mark brainliest

brilliants [131]

Answer:

x≠-1,1

Step-by-step explanation:

f(g(x)) is a composition where g(x) is is substituted for x in f(x).

Recall, f(x) is 2/x. So we write 2/|x|-1. This places x in the denominator and 0 cannot be in the denominator x. Any value of x that makes the denominator 0 will not be in the domain.

|x|-1=0

|x|=1

x=1,-1

3 0

3 years ago

Convert 0.14 kilograms to grams

atroni [7]

Hey there, 0.14 kilograms is 140 grams, All I did was 0.14*1000 and that gave me 140

3 0

3 years ago

Read 2 more answers

What is the exact distance from (−4, −2) to (4, 6)? square root of 24. units square root of 88. units square root of 100. units

Mrrafil [7]

Thank you for posting your question here at brainly. The exact distance from (−4, −2) to (4, 6) is the forth one which is square root of 128. units. I hope the answer will help you. Feel free to ask more question.

3 0

3 years ago

Read 2 more answers

The formula for finding the perimeter of a rectangle is p= 2l 2w solve the formula for w.

I am Lyosha [343]

Answer:

w = $\frac{p -2l}{2}$

Step-by-step explanation:

p = 2l + 2w Subtract 2l from both sides of the equation

p - 2l = 2p Divide both sides by 2

$\frac{p -2l}{2}$ = w

5 0

2 years ago