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yarga [219]
3 years ago
14

How do you solve 4(3x-5) using "distributive property" and "combining like terms"

Mathematics
1 answer:
pochemuha3 years ago
3 0
Just multiply the parentheses by 4. So you end up with 12x-20. If your teacher wants you to simplify then go ahead and divide to get a simplified equation but if not, then you're set.
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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
R = -5, s = 2, t = 7, u = -1 <br><br><br> 5r - 4
Doss [256]
5r-4 and r=-5 so it would be 5(-5)=-20, then -4 , so is is -24
8 0
2 years ago
If x=4 and y=3 what is the value of 5x+2y-6<br><br> show how you got the answer.
Oksana_A [137]

Answer:

<em>Given </em><em>x </em><em>=</em><em> </em><em>4</em><em> </em><em>and </em><em>y </em><em>=</em><em> </em><em>3</em>

Step-by-step explanation:

5x +2y -6 = <em>5</em><em>*</em><em>4</em><em> </em><em>+</em><em> </em><em>2</em><em>*</em><em>3</em><em> </em><em>-</em><em>6</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em> </em><em>2</em><em>0</em><em> </em><em>+</em><em> </em><em>6</em><em> </em><em>-</em><em> </em><em>6</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em> </em><em>2</em><em>0</em>

7 0
3 years ago
Read 2 more answers
81:18 equivalent to 36?
fiasKO [112]
9/2 is the correct anwer

6 0
3 years ago
56of the 90pets in the pet show are cats 4/5of the cats are calico cats. What fraction of the pets are calico cats?
meriva
To get the answer, we can divide 56 by 5 to find one fifth of the cats. Then, we can multiply this number to get four fifths of the cats. Then, we put this number over 90 since there is 90 pets in the entire show. Then, this answer ends up being about half all of the pets are calicos.
4 0
3 years ago
Read 2 more answers
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