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KIM [24]
3 years ago
10

Is 65.434... Rational or irrational

Mathematics
1 answer:
Stells [14]3 years ago
8 0
It is rational because it is not negative
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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
Alexica finds the product, p, of 89 and 35. Which equation justifies her answer? (
Varvara68 [4.7K]

Answer:

hckkcjl4yhjvgvccbjjhjc,zbhbbmk jlkvcuko

5 0
3 years ago
Can someone give me the answers for the number frame and how you did it, I’m confused :)
xxTIMURxx [149]

Answer:

16, 56, ...

Step-by-step explanation:

It looks like you have to put in each cell the multiplication of the row and the column, so the columns are 2, 7, 4 etc., and the row is always 8.

First cell: 2x8 = 16

Second cell: 7x8 = 56

and so on

It teaches you to apply the multiplication in a random sequence; you should be able to do this in your head.

8 0
3 years ago
A store charges $32 to print 80 greeting cards and $0.33 for each additional greeting card.
otez555 [7]
G=greeting cards
Equation A- 32+.33(g)

Equation B- T= 32+.33(10)

The answer: T=$35.30

8 0
3 years ago
What is the y-intercept of the line described by the equation below?<br> y = 4x-9
VladimirAG [237]
Y=mx+b
M is the slope
B is the y intercept
In this case 4 is the slope and -9 is the y intercept
7 0
3 years ago
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