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valentina_108 [34]
3 years ago
9

HELP IN THIS QUESTION

Mathematics
2 answers:
Zinaida [17]3 years ago
8 0
The answer is 20 questions.
uysha [10]3 years ago
7 0

Given:

80% correctly; if 16 correct, what is the total?

16/y = 80/100

cross muliply

16 x 100 = 80 x y

1600 = 80y

Divide 80 on either sides.

1600 / 80 = 80y / 80

80 and 80 cancels out.

20 = y

16/20 x 100 = 80%

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A letter to europe from the united states costs $0.80 to mail. a letter mailed within the united states cost $0.37. nancy mails
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She only sen 2 to Europe.
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3 years ago
9 + 22 = x + 1<br><br> HALPP
rosijanka [135]

Hey!

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

Solution:

9 + 22 = x + 1

9 + 22 - x = x + 1 - x

31 - x = 1

31 - x  31 = 31 - 1

x = 30

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Answer:

x = 30

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Hope This Helped! Good Luck!

4 0
3 years ago
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mixer [17]

Answer: X=3

Step-by-step explanation:

8 0
2 years ago
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fluorescent light factory that manufactures fluorescent lights that have a lifetime that is approximately normally distributed w
EastWind [94]

Answer:

The p-value obtained is greater than the significance level at which the test was performed, hence, we fail to reject the null hypothesis & say that there is enough evidence to conclude that the mean life of the fluorescent lights is 700 hours

Step-by-step explanation:

Complete Question

fluorescent light factory that manufactures fluorescent lights that have a lifetime that is approximately normally distributed with a mean of 700 hours and a standard deviation of 45 hours. Test the hypothesis that mean is 700 hours against the alternative hypothesis that the mean is not equal to 700 hours, if a random sample of 30 bulbs has an average life of 688 hours. Use a P-value in your answer.

Solution

For hypothesis testing, the first thing to define is the null and alternative hypothesis.

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

For this question, the null hypothesis is that the mean life of the fluorescent lights is 700 hours.

The alternative hypothesis will now be that the mean life of the fluorescent lights is significantly different from 700 hours.

Mathematically,

The null hypothesis is represented as

H₀: μ = 700

The alternative hypothesis is represented as

Hₐ: μ ≠ 700

To do this test, we will use the z-distribution because no information on the population standard deviation is known

So, we compute the z-test statistic

z = (x - μ₀)/σₓ

x = sample mean = 688 hours

μ₀ = 700 hours

σₓ = standard error = (σ/√n)

σ = standard deviation = 45 hours

n = Sample size = 30

σₓ = (45/√30) = 8.2158383626 = 8.216

z = (688 - 700) ÷ 8.216

z = 1.46

checking the tables for the p-value of this z-statistic

Significance level = 0.05 (This is used when significance level isn't given)

The hypothesis test uses a two-tailed condition because we're testing in two directions.

p-value (for z = 1.46, at 0.05 significance level, with a two tailed condition) = 0.14429

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.05

p-value = 0.14429

0.14429 > 0.05

Hence,

p-value > significance level

This means that we fail to reject the null hypothesis & say that there is enough evidence to conclude that the mean life of the fluorescent lights is 700 hours.

Hope this Helps!!

6 0
3 years ago
A chemist is using 351 millimeters of a solution of acid and water. If 18.2% of the solution is acid, how many milliliters of ac
Zolol [24]

Answer:

The % of of acid in solution  = 63.88 ml

Step-by-step explanation:

The solution of acid and water = 351 milliliters

The % of of acid in solution  = 18.2% of 351 ml

Or, The % of of acid in solution  = \frac{18.2}{100} × 351 ml

Or, The % of of acid in solution  = 63.882 ml

Hence ,The % of of acid in solution  = 63.88 ml  Answer

3 0
3 years ago
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