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LenaWriter [7]
3 years ago
14

There are no solutions to the system of inequalities shown below.

Mathematics
1 answer:
mixer [17]3 years ago
3 0

Answer:

False, there are actually infinite solutions as these are parallel lines.

Step-by-step explanation:

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It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet. A transportat
Mrrafil [7]

Answer:

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is equal to 120 or not, the system of hypothesis would be:  

Null hypothesis:\mu = 120  

Alternative hypothesis:\mu \neq 120  

Part 2

Calculate the statistic

We can replace in formula (1) the info given like this:  

z=\frac{114-120}{\frac{22}{\sqrt{36}}}=-1.636    

P-value

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

p_v =2*P(z  

Step-by-step explanation:

Data given and notation  

\bar X=114 represent the sample mean  

\sigma=22 represent the population standard deviation

n=36 sample size  

\mu_o =120 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

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

Part 1

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is equal to 120 or not, the system of hypothesis would be:  

Null hypothesis:\mu = 120  

Alternative hypothesis:\mu \neq 120  

If we analyze the size for the sample is > 30 and we  know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Part 2

Calculate the statistic

We can replace in formula (1) the info given like this:  

z=\frac{114-120}{\frac{22}{\sqrt{36}}}=-1.636    

P-value

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

p_v =2*P(z  

8 0
3 years ago
Given: △KLM, LM=20 3
egoroff_w [7]

Split the triangle into a 30-60-90 triangle. Since you have LM from that triangle, you can figure out the other sides. Then, using the leg from that triangle, the one next to it is a 45-45-90 triangle, meaning it's isosceles.

KM = 30 + 10√3

KL = 10√6

(sorry i'm not too sure if my "reasons" for statement/reason is correct)

6 0
3 years ago
Read 2 more answers
Solve the inequality 2n – 1 < 39​
MatroZZZ [7]

Answer:

n < 20​

Step-by-step explanation:

2n – 1 < 39​

Add 1 to each side

2n – 1+1 < 39+1

2n < 40

Divide each side by 2

2n/2 < 40/2

n < 20​

3 0
2 years ago
Evaluate each expression <br><br> 10 (e+7)<br> E=3
Nostrana [21]
Plug in e for 3.

10(3+7)

Use the distributive property. a(b+c)= ab+ac

10*3= 30, 10*7=70

30+70=100

The expression equals 100.

I hope this helps!
~kaikers
5 0
3 years ago
Read 2 more answers
Sam will spend at most $27 on gifts. So far, he has spent $18. What are the possible additional amounts he will spend? Use c for
Assoli18 [71]

Answer:$9

Step-by-step explanation:

Let the additional amount be c

Total amount to spend on gift is $27

He had spent $18 so far

$18+c= $27

C= $27-$18

C=$9

5 0
3 years ago
Read 2 more answers
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