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Harman [31]
3 years ago
8

Why is 903*29 not a good estimate for 2700?

Mathematics
1 answer:
I am Lyosha [343]3 years ago
3 0
Because i<span>t's off by an order of magnitude. Should be near 27,000, not 2,700
The actual answer is </span><span>it's 26,187, to be precise.</span>
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Draw 2 supplementary angles. One angle is x-15 degrees and one is 2x degrees. What is the value of x in degrees?
Bond [772]

Answer:

Step-by-step explanation:

Since they are supplementary, it means the addition of both angles gives 180 degree.

x - 15 + 2x = 180\\3x = 180 + 15\\3x = 195\\x = \frac{195}{3} \\x = 65

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3 years ago
A cell phone manufacturer claims that the average battery life of its newest flagship smartphone is exactly 20 hours. Javier bel
adelina 88 [10]

Answer:

(B) Fail to reject the null hypothesis that the true population mean battery life of the smartphone is equal to 20 hours.

(C) There is not enough evidence at the α=0.05 level of significance to suggest that the true population mean battery life of the smartphone is less than 20 hours.

Step-by-step explanation:

1) Data given and notation    

\bar X=19.5 represent the battery life sample mean  

s=1.9 represent the sample standard deviation    

n=33 sample size    

\mu_o =20 represent the value that we want to test  

\alpha=0.05 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)    

2) State the null and alternative hypotheses.    

We need to conduct a hypothesis in order to check if the mean battery life is less than 20 :    

Null hypothesis:\mu \geq 20    

Alternative hypothesis:\mu < 20    

Since we don't know the population deviation, 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".    

3) Calculate the statistic    

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

t=\frac{19.5-20}{\frac{1.9}{\sqrt{33}}}=-1.51    

4) P-value    

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

df=n-1=33-1=32

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

p_v =P(t_{(32)}    

5) Conclusion    

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the average battery life it's not significantly different less than 20 hours at 5% of signficance. If we analyze the options given we have:

(A) Reject the null hypothesis that the true population mean battery life of the smartphone is equal to 20 hours. FALSE, we FAIL to reject the null hypothesis.

(B) Fail to reject the null hypothesis that the true population mean battery life of the smartphone is equal to 20 hours. TRUE, we fail to reject the null hypothesis that the mean would be 20 or higher .

(C) There is not enough evidence at the α=0.05 level of significance to suggest that the true population mean battery life of the smartphone is less than 20 hours.  TRUE, we FAIL to reject the null hypothesis that the mean is greater or equal to 20 hours, so we reject the alternative hypothesis that the mean is less than 20 hours.

(D) There is enough evidence at the α=0.05 level of significance to support the claim that the true population mean battery life of the smartphone is not equal to 20 hours. FALSE the claim is not that the mean is different from 20. The real claim is: "Javier believes the mean battery life is less than 20 hours".

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Answer:

Mk lol

Step-by-step explanation:

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4. You have $3,000 and want to double it in 5 years. What rate of return must your
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Answer:

4.3% , 645 ÷ 5 = 129, 4.3% of 3000 is 129

Step-by-step explanation:

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