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Lilit [14]
2 years ago
5

Help! |5 − x |− |x + 8| , if x > 5I just can't get it right.

Mathematics
1 answer:
MakcuM [25]2 years ago
7 0

Answer:

-13

Step-by-step explanation:

since x is positive, |x+8| becomes x+8. since x>5, 5-x is negative so |5-x| becomes x-5 (-(5-x)=-5+x=x-5). so now we have x-5-(x+8)=x-5-x-8=-5-8=-13

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An IQ test is designed so that the mean is 100 and the standard deviation is 1414 for the population of normal adults. Find the
Amanda [17]

Answer:

37

Step-by-step explanation:

The first thing is to calculate critical z factor

the alpha and the critical z score for a confidence level of 90% is calculated as follows:

two sided alpha = (100% - 90%) / 200 = 0.05

critical z factor for two sided alpha of .05 is calculated as follows:

critical z factor = z factor for (1 - .05) = z factor for (.95) which through the attached graph becomes:

critical z factor = 2.58

Now we have the following formula:

ME = z * (sd / sqrt (N) ^ (1/2))

where ME is the margin of error and is equal to 6, sd is the standard deviation which is 14 and the value of z is 2.58

N the sample size and we want to know it, replacing:

6 = 2.58 * (14 / (N) ^ (1/2))

solving for N we have:

N = (2.58 * 14/6) ^ 2

N = 36.24

Which means that the sample size was 37.

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3 years ago
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Answer:

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3 years ago
The manager of a factory wants to compare the mean number of units assembled per employee in a week for two new assembly techniq
antoniya [11.8K]

Answer:

The most appropriate inferential statistic test in the present situation is the;

b. Two-sample t-test

Step-by-step explanation:

From the question, we have;

The number of subjects in each sample, n₁ = 100

The number of samples = 2

The nature of the test = To compare the two means

The value of the population standard deviation, σ = Unknown

From the given parameters, we have;

The t-test is a method of inferential statistics for determining whether the difference between the mean of two groups is significant, that is if the observed difference are due to chance, where the groups are likely to have some characteristics that are related

The t-test is utilized when testing an hypothesis, and it is used for small samples, where the population standard deviation is unknown

The types of t-test used are;

a) One-sample t-test

b) Two-sample t-test

c) Paired Sample t-test

Therefore, a two-sample t-test is most appropriate.

3 0
2 years ago
Find 1/4 of 32 and then add 10 to find the total).
Shkiper50 [21]

Answer: 18

Step-by-step explanation:

1/4 of 32 = 8

8+10 = 18

8 0
2 years ago
What is 2a (5.6 X 4.5)
erik [133]
<span>50.4a is the answer to solving the equation

</span>
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