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Taya2010 [7]
2 years ago
8

-2(3 + c) = 16 what is the value of c is a solution to the equation

Mathematics
2 answers:
Sergio039 [100]2 years ago
5 0

Answer:

c=−11

Step-by-step explanation:

-2(3+c)=16

Divide both sides by -2

-2(3+c)/-2 = 16/-2

Simplify

3+c=-8

Subtract 3 from both sides

3+c-3=-8-3

Simplify

c=-11

lana [24]2 years ago
4 0

Answer:

-11

Step-by-step explanation:

Simplify

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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
Circumference and area of 7ft​
nikdorinn [45]
Circumference: 21.991 feet
Area: 38.485 feet
5 0
2 years ago
An airplane travels 360 miles in 2 hours. At the rate, how far can the airplane travel in 8 hours. Please help me!
S_A_V [24]

Answer:

1440 miles

Step-by-step explanation:

360 miles = 2 hours

360/2=180 miles = 1 hours

8 hours = 180*80=1440 miles

5 0
2 years ago
Read 2 more answers
Compare the two ratios is 6 : 15 less than 30 : 80 or greater than?
romanna [79]

Work:
6/15 = x/1
To get from 15 to 1, you have to divide by 15. So, to make an equal field, divide 6 by 15.

6 : 15 is the same as 2 : 5 or 0.4.

30/80 = x/1
To get from 80 to 1, you have to divide by 80. So, to make an equal field, divide 30 by 80.

30 : 80 is the same as 3 : 8 or .875.


Comparing the two, 30 : 80 is greater than 6 : 15.


Hope this helps. Have a good day.


6 0
3 years ago
Read 2 more answers
2 x 10<br> i need help pls
vitfil [10]

Answer:

20

Step-by-step explanation:

8 0
3 years ago
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