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kramer
3 years ago
10

If the two prisms have equal heights and volumes, what is the length of the x in Polam I?

Mathematics
2 answers:
vazorg [7]3 years ago
5 0
A .8units hope it helps
anastassius [24]3 years ago
3 0

Answer:

A

Step-by-step explanation:

Because it is same height

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In a recent study, researchers found that 31 out of 150 boys aged 7-13 were overweight or obese. On the basis of this study can
AURORKA [14]

Answer:

1) Null hypothesis:p \leq 0.15  

Alternative hypothesis:p > 0.15  

2) The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) z_{crit}= 1.64

And the rejection zone would be z>1.64

4) Calculate the statistic  

z=\frac{0.207 -0.15}{\sqrt{\frac{0.15(1-0.15)}{150}}}=1.955  

5) Statistical decision  

For this case our calculated value is on the rejection zone, so we have enough evidence to reject the null hypothesis at 5% of significance and we can conclude that the true proportion is higher than 0.15

Step-by-step explanation:

Data given and notation

n=150 represent the random sample taken

X=21 represent the boys overweight

\hat p=\frac{31}{150}=0.207 estimated proportion of boy overweigth

p_o=0.15 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

1) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the true proportion of boys obese is higher than 0.15.:  

Null hypothesis:p \leq 0.15  

Alternative hypothesis:p > 0.15  

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

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

2) The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Decision rule

For this case we need a value on the normal standard distribution who accumulates 0.05 of the area on the right tail and on this case this value is:

z_{crit}= 1.64

And the rejection zone would be z>1.64

4) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.207 -0.15}{\sqrt{\frac{0.15(1-0.15)}{150}}}=1.955  

5) Statistical decision  

For this case our calculated value is on the rejection zone, so we have enough evidence to reject the null hypothesis at 5% of significance and we can conclude that the true proportion is higher than 0.15

6 0
3 years ago
What is the slope of the line whose equation is –48 = 2x − 8y?
alexgriva [62]
-48 = 2x - 8y
-24 = x - 4y
4y = x + 24
y = (1/4)x + 6

Slope of the line
1/4
4 0
3 years ago
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What is the vertex of the quadratic function f(x) = (x – 8)(x – 2)?
LekaFEV [45]
Something funny is that the x value of the vertex lies directl in the middle of the x intercepts
so
we see the x intercepts or 0's at x=8 and 2
the average is x=5
so find f(5) to find the y value of the vertex
f(5)=(5-8)(5-2)
f(5)=(-3)(3)
f(5)=-9

vertex is at (5,-9)

the actual way the teacher wants is to expand then compltete the square to get into the form f(x)=a(x-h)^2+k where the vertex is (h,k)
but whatever


verrtex is at (5,-9)
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They will both come on the 84th day
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Sveta_85 [38]

Answer:

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This section is worth 20 points. See the scoring rubric for more details on how you

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free body diagram can be used to help work out the net force acting on an object. True or, false?Columbian exchange. Tell a story in chronological order of the changes that the community undergoes as it and the communities around it make contact with Europeans over a span of roughly 50 to 100 years.

This section is worth 20 points. See the scoring rubric for more details on how you

will be graded

Use the evidence you gathered to tell the story of a hypothetical indigenous

community in the Americas and its experience involving the Columbian Exchange.

Come up with a community whose circumstances are typical of many in Central

America, the West Indies, or another part of the Americas that had direct contact with

Europeans. Tell the story in chronological order, but feel free to skip whole years or

decades so that you can cover each of the important topics related to the activity: the

availability of goods, the effects of disease, and the impact of European culture

(language and religion, for example), at the very least.

Think of your story as more of a summary than a work of fiction; you must cover a

large span of time in few words. Base the details of the story on factual evidence and

cite your sources, but keep in mind that the text should be written as a story, not as

an essay with a conventional introduction, body, and conclusion. Aim for about 700

to 1,200 words.

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Step-by-step explanation:

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