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Lelu [443]
3 years ago
5

Find the 9th term of the geometric sequence 8 , 32 , 128

Mathematics
1 answer:
Ksju [112]3 years ago
8 0

Answer:

the pattern seems to be to multiply by 4 so the answer would be 524,288

Step-by-step explanation:

8×4= 32×4= 128×4= 512×4= 2048×4= 8192×4= 32768×4= 131072×4= 524,288

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5. y = 2x + 6<br> 2x - y=2
Crank

Step-by-step explanation:

y = 2x + 6

2x - y = 2

To solve this system of equations, let's first add the equations together:

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

2x = 2x + 8

2x - 2x = 8

0 = 8

There are no values of x that will make this equation true, so the lines never intersect, and therefore there are no solutions to this system of equations.

5 0
3 years ago
The mean annual premium for automobile insurance in the United States is $1503 (Insure website, March 6, 2014). Being from Penns
romanna [79]

Answer:

If we compare the p value and the significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean annual premium in Pennsylvania is significantly lower than the national mean annual premium of 1503 at 5% of significance.

Step-by-step explanation:

1) Data given and notation  

\bar X=1440 represent the mean annual premium value for the sample  

s=165 represent the sample standard deviation for the sample  

n=25 sample size  

\mu_o =1503 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 check if the mean annual premium in Pennsylvania is lower than the national mean annual premium, the system of hypothesis would be:  

Null hypothesis:\mu \geq 1503  

Alternative hypothesis:\mu < 1503  

If we analyze the size for the sample is < 30 and we don't know the population deviation so 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{1440-1503}{\frac{165}{\sqrt{25}}}=-1.909    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=25-1=24  

Since is a one side left tailed test the p value would be:  

p_v =P(t_{(24)}  

Conclusion  

If we compare the p value and the significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean annual premium in Pennsylvania is significantly lower than the national mean annual premium of 1503 at 5% of significance.  

7 0
3 years ago
Hey, need help on this, What is 18.029 in expanded form?
Zigmanuir [339]

Answer:

The second one

Step-by-step explanation:

......................

4 0
3 years ago
Complete the two column proof
seraphim [82]
The answer is 12 I promise
8 0
3 years ago
What's the range of 37000 and 45000
Galina-37 [17]
Range:  Subtract <span>37000 from 45000 and you'll have it.</span>
8 0
3 years ago
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