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lilavasa [31]
3 years ago
8

What is the value of x?

Mathematics
1 answer:
NISA [10]3 years ago
7 0
Since vertical angles are congruent, (4x+7)=5(x-4). So simplifying we get 4x+7=5x-20. If we add 20 on both sides we get 4x+27=5x. Now when we subtract x from both sides, we get x=27

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5+3r=5r-19? what is the answer need help!
qaws [65]
The answer to <em>5 + 3r = 5r - 19 </em>is <em>r = 12</em>.
5 0
3 years ago
Read 2 more answers
Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the pre
choli [55]

Answer:

z=\frac{0.4 -0.48}{\sqrt{\frac{0.48(1-0.48)}{115}}}=-1.717  

p_v =P(z  

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 we can said that at 5% of significance the proportion of people that have traded in their old car is lower than 0.48 or 48%.  

Step-by-step explanation:

Data given and notation

n=115 represent the random sample taken

X=46 represent the number of people that have traded in their old car.

\hat p=\frac{46}{115}=0.4 estimated proportion of people that have traded in their old car

p_o=0.48 is the value that we want to test

\alpha=0.1 represent the significance level

Confidence=90% or 0.9

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 less than 0.48.:  

Null hypothesis:p\geq 0.48  

Alternative hypothesis:p < 0.48  

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 -0.48}{\sqrt{\frac{0.48(1-0.48)}{115}}}=-1.717  

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 left tailed test the p value would be:  

p_v =P(z  

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 we can said that at 5% of significance the proportion of people that have traded in their old car is lower than 0.48 or 48%.  

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=4x%2B6%3D11" id="TexFormula1" title="4x+6=11" alt="4x+6=11" align="absmiddle" class="latex-for
nlexa [21]

Answer:

x = \frac{5}{4}

Step-by-step explanation:

Given

4x + 6 = 11 ( subtract 6 from both sides )

4x = 5 ( divide both sides by 4 )

x = \frac{5}{4} = 1.25

4 0
3 years ago
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What is the sum of (q+r)-(r+10)
KATRIN_1 [288]

Answer:

q+10 is the answer

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3 years ago
The distance from the green point on the parabola to the parabolas focus is 11. What is the distance from green point to the dir
Lina20 [59]

Answer:

answer 11

Step-by-step explanation:

I think it the right answer

4 0
3 years ago
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