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Kisachek [45]
3 years ago
13

Two numbers as 8: 3. One is 75 than the other. What are the numbers?

Mathematics
1 answer:
tiny-mole [99]3 years ago
6 0

Answer

125,75

Step - by - step explanation

<em>3</em><em>/</em><em>1</em><em>1</em><em> </em><em>of</em><em> </em><em>×</em><em> </em><em>=</em><em> </em><em>7</em><em>5</em>

<em>=</em><em>1</em><em>1</em><em>×</em><em>7</em><em>5</em><em>/</em><em>3</em><em>=</em><em>2</em><em>7</em><em>5</em>

<em>there</em><em>fore</em><em> </em><em>8</em><em>=</em><em>8</em><em>/</em><em>1</em><em>1</em><em>×</em><em>2</em><em>7</em><em>5</em><em>=</em><em>2</em><em>0</em><em>0</em>

<em>3</em><em>=</em><em> </em><em>3</em><em>/</em><em>1</em><em>1</em><em>×</em><em>2</em><em>7</em><em>5</em><em>=</em><em> </em><em>7</em><em>5</em><em> </em>

<em>2</em><em>0</em><em>0</em><em>-</em><em>7</em><em>5</em><em> </em><em>=</em><em> </em><em>1</em><em>2</em><em>5</em>

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According to a Pew Research Center study, in May 2011, 35% of all American adults had a smart phone (one which the user can use
taurus [48]

Answer:

z=\frac{0.4 -0.35}{\sqrt{\frac{0.35(1-0.35)}{300}}}=1.82  

p_v =P(z>1.82)=0.034  

So the p value obtained was a very low value and using the significance level given \alpha=0.1 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis

And the best conclusion would be:

There is enough evidence to show that more than 35% of community college students own a smart phone (Pvalue = 0.034).

And for the second case the correct system of hypothesis is:

H0: p = 0.078; Ha: p > 0.078

Step-by-step explanation:

Data given and notation

n=300 represent the random sample taken

\hat p=\frac{120}{300}=0.4 estimated proportion of college students that have a smart phone

p_o=0.35 is the value that we want to test

\alpha=0.1 represent the significance level

Confidence=90% or 0.90

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 proportion is >0.35.:  

Null hypothesis:p\leq 0.35  

Alternative hypothesis:p > 0.35  

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)  

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

Calculate the statistic  

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

z=\frac{0.4 -0.35}{\sqrt{\frac{0.35(1-0.35)}{300}}}=1.82  

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 significance level provided \alpha=0.1. The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(z>1.82)=0.034  

So the p value obtained was a very low value and using the significance level given \alpha=0.1 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis

And the best conclusion would be:

There is enough evidence to show that more than 35% of community college students own a smart phone (Pvalue = 0.034).

And for the second case the correct system of hypothesis is:

H0: p = 0.078; Ha: p > 0.078

4 0
3 years ago
-2x+2y=6 7x-8y=-27 what is the solution
navik [9.2K]
-2x+2y=6
7x-8y=-27
5x-6y=-21
-x+y=3
6x-7y=-24
6x-7y=-4(-2x+2y)
6x-7y=8x-8y
-6x from both sides:
-7y=2x-8y
add 8y to both sides:
y=2x
-2x+2y=6
2y-6=2x
2y-6=-12
-6-6=-12
y=-3
x=-6

Hope this helps :)

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What is the solution to this equation?
gtnhenbr [62]

Answer:

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Step-by-step explanation:

if u said 5x=30 then its D

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