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konstantin123 [22]
4 years ago
7

Don’t know if I got this right or not could u guys help.

Mathematics
2 answers:
elena55 [62]4 years ago
7 0

Yes you got it correct.

alex41 [277]4 years ago
3 0

Hi!

<h3>Let's check your answer by doing the opposite. </h3>

-----------------------------------

<h3>The way to find the area of a rectangle is multiplying the width by height. So you need to multiply </h3>

3\frac{1}{8} * 6\frac{2}{5} =  ?.

<h3>The opposite of multiplying those, is dividing them. </h3>

? / 3\frac{1}{8} = 6\frac{2}{5}

<h3>Now since you're saying the answer is 20, put in the value. </h3>

20 / 3\frac{1}{8} = 6\frac{2}{5}

----------------------------------

<h3>Convert the mixed numbers to improper fractions by multiplying the whole number by the denominator then adding it to the numerator. The denominator stays the same. </h3>

3 * 8 + 1 = 25

6 * 5 + 2 = 32

20 / \frac{25}{8} = \frac{32}{5}

--------------------------------

<h3>Now solve. </h3>

\frac{160}{25} = \frac{32}{5}

<h3>Simplify</h3>

\frac{32}{5} = \frac{32}{5}

------------------------------------------

<h2>Your answer is correct!</h2>

Hope this helps! :)

-Peredhel

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The height of a ball t seconds after it is thrown upward from a height of 6 feet and with an initial velocity of 80 feet per sec
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Answer:

f(2) = f(3) = 102 ft

Step-by-step explanation:

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f(t) = -16t^2 + 80t + 6\\f(2) = -16*2^2 + 80*2 + 6\\f(2)=-64+160+6\\f(2)=102\ ft

The height f at t = 3 seconds is given by:

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Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.6 parts
kirill115 [55]

Answer:

z=\frac{4.5-4.6}{\frac{1.1}{\sqrt{860}}}=-2.666    

p_v =2*P(Z  

If we compare the p value and the significance level given \alpha=0.02 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is different from 4.6 at 2% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=4.5 represent the sample mean

\sigma=1.1 represent the population standard deviation

n=860 sample size  

\mu_o =4.6 represent the value that we want to test

\alpha=0.02 represent the significance level for the hypothesis test.  

z 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 is equal or not to 4.6, the system of hypothesis would be:  

Null hypothesis:\mu = 4.6  

Alternative hypothesis:\mu \neq 4.6  

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".  

Calculate the statistic

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

z=\frac{4.5-4.6}{\frac{1.1}{\sqrt{860}}}=-2.666  

P-value

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

p_v =2*P(Z  

Conclusion  

If we compare the p value and the significance level given \alpha=0.02 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is different from 4.6 at 2% of signficance.  

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