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marshall27 [118]
3 years ago
14

Anyone? Help please its my final test!!!

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
6 0

Answer:

yes ; 17.5 ft

Step-by-step explanation:

Triangle PRQ is isosceles

the base angle are equals

we know two legs, so we can find the tangent of angle x

tan = opposite/adjacent

tan = 7/16 = 0.4375

the angle x measure 23.6 degrees circa (we can calculate this with the button tan -1 on the calculator)

the roof is safe

B we can use the Phytagorean theorem to solve this

PR = √16^2 + 7^2 = √256 + 49 = 17,46... = 17.5 ft

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Several years ago, the mean height of women 20 years of age or older was 63.7 inches. Suppose that a random sample of 45 women w
VikaD [51]

Since the p - value is less than significance level . So, we will accept the null hypothesis.

​(a) State the appropriate null and alternative hypotheses to assess whether women are taller today.

Definition of null hypothesis : The null hypothesis attempts to show that no variation exists between variables or that a single variable is no different than its mean. it is denoted

Alternative Hypothesis : In statistical hypothesis testing, the alternative hypothesis is a position that states something is happening, a new theory is true instead of an old one (null hypothesis).

We are given that The mean height of women 20 years of age or older was 63.7 inches.

So, null hypothesis :  H₀ : μ = 63.7

Alternative Hypothesis :  H₁ : μ > 63.7

b)The​ P-value for this test is 0.06.

The p-value represents the probability of getting a sample mean height of 20 years old women is  64.1 inches.

c) Write a conclusion for this hypothesis test assuming an alpha equals 0.10 level of significance.

p- value = 0.06

Since the p - value is less .

So, we will accept the null hypothesis

So,  

Hence The mean height is 63.7 inches

To learn more about hypothesis testing from the given link

brainly.com/question/12976831

#SPJ4

7 0
2 years ago
What is the complete factorization of 8x2 - 8x + 2?
GREYUIT [131]

Complete factorization of 8x^2-8x+2 is 2(2x-1)^2.

Step-by-step explanation:

Given,

8x^2-8x+2

Taking 2 common

2(4x^2-4x+1)

2(4x^2-2x-2x+1)\\2[2x(2x-1)-1(2x-1)]\\2(2x-1)(2x-1)\\2(2x-1)^2

Therefore;

Complete factorization of 8x^2-8x+2 is 2(2x-1)^2.

5 0
3 years ago
Please help me with this problem I'm lost
ch4aika [34]

Answer:

24

Step-by-step explanation:

Multiple (4)(2)= 8

-3(8) =24

3 0
4 years ago
Read 2 more answers
If 3^2x+1 = 3^x+5 what is the value of X
cupoosta [38]

Answer:

4

Step-by-step explanation:

Since the base is the same, 3, you can just get rid of it using the principles of log. What you're left with is:

2x + 1 = x + 5

Now just solve for x:

2x - x = 5 - 1

x = 4

7 0
2 years ago
Tim has a rectangular prism with a length of 10 centimeters, a width of 2 centimeters, and an unknown height. he needs to build
ozzi
The volume of the original prism is given by:
 V1 = (10) * (2) * (h)
 rewriting:
 V1 = 20h
 Where,
 h: height
 The volume of the second prism is given by:
 V2 = (5) * (w) * (h)
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 Clearing w we have:
 w = (20/5) = 4 cm
 Answer:
 
The width, in centimeters, of the new prism is:
 
w = 4cm
4 0
3 years ago
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