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Tems11 [23]
3 years ago
8

Solve for s: 1/4r+4s=5

Mathematics
1 answer:
Serga [27]3 years ago
8 0

Answer:

the answer is s=5/4 minus 1/16

hope this helps :D

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GreenBeam Ltd. claims that its compact fluorescent bulbs average no more than 3.50 mg of mercury. A sample of 25 bulbs shows a m
Harrizon [31]

Answer:

(a) Null Hypothesis, H_0 : \mu \leq 3.50 mg  

     Alternate Hypothesis, H_A : \mu > 3.50 mg

(b) The value of z test statistics is 2.50.

(c) We conclude that the average mg of mercury in compact fluorescent bulbs is more than 3.50 mg.

(d) The p-value is 0.0062.

Step-by-step explanation:

We are given that Green Beam Ltd. claims that its compact fluorescent bulbs average no more than 3.50 mg of mercury. A sample of 25 bulbs shows a mean of 3.59 mg of mercury. Assuming a known standard deviation of 0.18 mg.

<u><em /></u>

<u><em>Let </em></u>\mu<u><em> = average mg of mercury in compact fluorescent bulbs.</em></u>

So, Null Hypothesis, H_0 : \mu \leq 3.50 mg     {means that the average mg of mercury in compact fluorescent bulbs is no more than 3.50 mg}

Alternate Hypothesis, H_A : \mu > 3.50 mg     {means that the average mg of mercury in compact fluorescent bulbs is more than 3.50 mg}

The test statistics that would be used here <u>One-sample z test</u> <u>statistics</u> as we know about the population standard deviation;

                          T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean mg of mercury = 3.59

            \sigma = population standard deviation = 0.18 mg

            n = sample of bulbs = 25

So, <em><u>test statistics</u></em>  =  \frac{3.59-3.50}{\frac{0.18}{\sqrt{25} } }

                               =  2.50

The value of z test statistics is 2.50.

<u>Now, P-value of the test statistics is given by;</u>

         P-value = P(Z > 2.50) = 1 - P(Z \leq 2.50)

                                             = 1 - 0.9938 = 0.0062

<em />

<em>Now, at 0.01 significance level the z table gives critical value of 2.3263 for right-tailed test. Since our test statistics is more than the critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><em><u>we reject our null hypothesis</u></em><em>.</em>

Therefore, we conclude that the average mg of mercury in compact fluorescent bulbs is more than 3.50 mg.

6 0
3 years ago
David rolls a number cube fifty times. The number 4 comes up twelve times. The number 3 comes up eight times. What is the experi
Maurinko [17]

Answer:

40%.

Step-by-step explanation:

Prob( Rolling a 4) = 12/50

Prob( Rolling a 3) = 8/50

When the combined probabilities contain  an 'OR' we Add the probability values:

Probability of a 3 or a 4  

= 12/50 + 8/50

= 20/50

= 2/5

= 40%.

5 0
3 years ago
Read 2 more answers
Which expression is equivalent to n + n - .18n
wariber [46]

Answer:7500

Step-by-step explanation:

if you divide 15000 and 2 you get 7500.and if you get 7500 you have to multiply to check if its correct so 7500 times 2 equals 15000. So the answer is 7500.

8 0
3 years ago
Solve for b<br> Is it square root 39? <br> Or <br> Square root 89?
cricket20 [7]

Answer:39

Step-by-step explanation:

7 0
3 years ago
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Matt has $900 in a checking account, has $15,000 in investments, owns an
Natasha_Volkova [10]

Answer:

40400

Step-by-step explanation:

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