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postnew [5]
2 years ago
8

A 2-column table with 5 rows. Column 1 is labeled Number of friends helping with entries 0, 1, 2, 3, 4. Column 2 is labeled Hour

s to build tree house with entries 20, 20 minus 20 (0.10) = 18.0, 18 minus 18 (0.10) = 16.2, 16.2 minus 16.2 (0.10) = 14.6, question mark.
Peter figures he can build the entire tree house by himself in 20 hours. He figures that each additional friend who helps him would improve the time by 10%. He created a table using the algebraic expression n – n(0.10), where n is the previous number of hours.

To the nearest tenth of an hour, how long will it take to build the tree house if 4 friends are helping?
Mathematics
1 answer:
prisoha [69]2 years ago
6 0

Answer:

x y x

Step-by-step explanation:

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Juliette [100K]

Answer:

The correct answer choice would be : B.6

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When a number is decreased by 16% of itself the result is 159.6. What is the number?
Rufina [12.5K]

Hey there! I'm happy to help!

Let's call this number n. Here is the info we can write about it. Remember that to write as a percent as a decimal you divide by 100.

n-0.16n=159.6

We combine like terms.

0.84n=159.6

We divide both sides by 0.84

n=190

Have a wonderful day! :D

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3 years ago
Can someone please help me with this
Alex_Xolod [135]

Answer:

  135°

Step-by-step explanation:

The reference angle appears to be about 45°, so a reasonable estimate of the angle size is 180° -45° = 135°.

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You can do an eyeball comparison with the figure attached to see that the angle is about 135°

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gavmur [86]

Answerthats good

Step-by-step explanation:

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5 0
2 years ago
Let n1equals50​, Upper X 1equals30​, n2equals50​, and Upper X 2equals10. Complete parts​ (a) and​ (b) below. a. At the 0.05 leve
Viefleur [7K]

Answer:

Null hypothesis:p_{1} = p_{2}  

Alternative hypothesis:p_{1} \neq p_{2}  

z=\frac{0.6-0.2}{\sqrt{0.4(1-0.4)(\frac{1}{50}+\frac{1}{50})}}=4.082    

p_v =2*P(Z>4.082)=4.46x10^{-5}  

So the p value is a very low value and using any significance level for example \alpha=0.05 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion 1 is significantly different from proportion 2.

Step-by-step explanation:

1) Data given and notation  

X_{1}=30 represent the number of people with a characteristic in 1

X_{2}=10 represent the number of people with a characteristic in 2

n_{1}=50 sample of 1 selected  

n_{2}=50 sample of 2 selected  

p_{1}=\frac{30}{50}=0.6 represent the proportion of people with a characteristic in 1

p_{2}=\frac{10}{50}=0.2 represent the proportion of people with a characteristic in 2

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the proportion 1 is different from proportion 2 , the system of hypothesis would be:  

Null hypothesis:p_{1} = p_{2}  

Alternative hypothesis:p_{1} \neq p_{2}  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)  

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{30+10}{50+50}=0.4  

3) Calculate the statistic  

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.6-0.2}{\sqrt{0.4(1-0.4)(\frac{1}{50}+\frac{1}{50})}}=4.082    

4) Statistical decision

For this case we don't have a significance level provided \alpha, but we can calculate the p value for this test.    

Since is a two sided test the p value would be:  

p_v =2*P(Z>4.082)=4.46x10^{-5}  

So the p value is a very low value and using any significance level for example \alpha=0.05 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion 1 is significantly different from proportion 2.  

3 0
3 years ago
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