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Katen [24]
3 years ago
5

Which equation has infinitely many solutions?

Mathematics
2 answers:
olga_2 [115]3 years ago
7 0

Answer:

.

Step-by-step explanation:

.

MrRa [10]3 years ago
4 0

Answer:

-6y + 6 = -2(3y - 3)

Step-by-step explanation:

-6y + 6 = -2(3y - 3)

-6y + 6 = -6y + 6

Therefore, the equation has infinitely many solutions.

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It is claimed that automobiles are driven on average more than 20,000 kilometers per year. To test this claim, 100 randomly sele
kow [346]

Answer:

t=\frac{23500-20000}{\frac{3900}{\sqrt{100}}}=8.974      

p_v =P(t_{99}>8.974)=9.43x10^{-15}  

If we compare the p value and the significance level given for example \alpha=0.05 we see that p_v so we can conclude that we to reject the null hypothesis, and the actual mean is significantly higher than 20000.      

Step-by-step explanation:

1) Data given and notation      

\bar X=23500 represent the sample mean  

s=3900 represent the sample standard deviation      

n=100 sample size      

\mu_o =2000 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)  

State the null and alternative hypotheses.      

We need to conduct a hypothesis in order to determine if the true mean is higher than 20000, the system of hypothesis would be:      

Null hypothesis:\mu \leq 2000      

Alternative hypothesis:\mu > 2000      

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:      

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)      

t-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".  

Calculate the statistic      

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

t=\frac{23500-20000}{\frac{3900}{\sqrt{100}}}=8.974      

Calculate the P-value      

First we need to calculate the degrees of freedom given by:  

df=n-1=100-1=99  

Since is a one-side upper test the p value would be:      

p_v =P(t_{99}>8.974)=9.43x10^{-15}  

Conclusion      

If we compare the p value and the significance level given for example \alpha=0.05 we see that p_v so we can conclude that we to reject the null hypothesis, and the actual mean is significantly higher than 20000.      

8 0
3 years ago
Reduce 12/20 to lowest term
skelet666 [1.2K]

Answer:

3/5

Step-by-step explanation:

12/20

(divide both by 2)

12/2= 6

20/2=10

6/10

(divide by both by 2)

6/2= 3

10/2= 5

3/5

7 0
3 years ago
What is the area of the following circle?
zhannawk [14.2K]

Answer:

38.47 m2

Step-by-step explanation:

Area = 3.5 x 3.5 x 3.14

Area = 12.25 x 3.14

Area = 38.465 --> 38.47m2

Hope that helps!

3 0
3 years ago
Read 2 more answers
Find the Slope and the y- intercept for 5x+5y=-40
zheka24 [161]

Answer:

y-intercept= (0,-8)

slope= -1

Step-by-step explanation:

3 0
3 years ago
What is 1/5 divided by 4??
erica [24]
That is the answer 1/20
6 0
3 years ago
Read 2 more answers
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