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zhannawk [14.2K]
3 years ago
5

Simplify the expression –2 + 7(x + 8)

Mathematics
2 answers:
anastassius [24]3 years ago
7 0

Answer:

54+7x

Step-by-step explanation:

-2+7(x+8)

-2+7x+56

54+7x

marissa [1.9K]3 years ago
3 0

Answer:

-2 + 7(x + 8)

open the bracket

-2 + 7x + 56=

-2 + 56 + 7x =

54 + 7x

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Assume a recent sociological report states that university students drink 4.10 alcoholic drinks per week on average, with a stan
yulyashka [42]

Answer:

4.10

0.17

Step-by-step explanation:

From the question, we know that

A recent sociological report stated that university students drink 4.10 alcoholic drinks per week on average, with a standard deviation of 1.9101.

Also, we're tasked with finding the mean and standard deviation of the sampling distribution of the sample mean alcohol consumption.

To find the mean of the sampling distribution, we take the sample mean of the same of that university students as a direct substitute. This then means that the mean of the sampling distribution of the sample mean alcohol consumption is 4.10 alcoholic drinks per week on average.

On the other hand, the standard deviation of the sampling distribution of the sample mean alcohol consumption is taken to be the division of the standard deviation of the sample mean. Mathematically, we have

Standard Deviation, S = 1.9101 / √125

Standard Deviation, S = 1.9101 / 11.18

Standard Deviation, S = 0.17

Therefore, the Standard Deviation is 0.17

4 0
3 years ago
Read 2 more answers
assuming that no questions are left unanswered, in how many ways can a six-question quiz with 4-choice multiple choice questions
AfilCa [17]

Given:

Total number of questions = 6

Choice for each question (in MCQ) = 4

Assuming that no questions are left unanswered.

To find:

The total number ways to answer the quiz, assuming that no questions are left unanswered.

Solution:

Here, Number of ways to answer each question = 4

To find the  total number ways to answer 6 MCQ, we have to have to multiply number of ways to answer each question 6 times.

Total number of ways to answer six-question quiz with 4-choice multiple choice questions is

4\times 4\times 4\times 4\times 4\times 4=4096

Therefore, the required number of ways is 4096.

3 0
3 years ago
A study of 420,076 cell phone users found that 131 of them developed cancer of the brain or nervous system. Prior to this study
Keith_Richards [23]

Answer:

a) 95% Confidence interval = (0.026%, 0.037%) to 3 d.p

b) The result of the 95% confidence interval does not agree with the previous rate of such cancer because the value 0.0224% does not lie within this confidence interval obtained.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion = (131/420076) = 0.0003118483 = 0.0312%

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 95% confidence interval for sample size of 420,076 is obtained from the z-tables because the sample size is large enough for the properties of the sample to approximate the population properties.

Critical value = 1.960 (from the z-tables)

Standard error = σₓ = √[p(1-p)/n]

n = sample size = 420,076

σₓ = √(0.0003118×0.999688/420076) = 0.0000272421 = 0.0000272

95% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.000312 ± (1.96 × 0.0000272)

CI = 0.000312 ± 0.0000534

95% CI = (0.0002586055, 0.0003653945)

95% Confidence interval = (0.000259, 0.000365)

95% Confidence interval = (0.0259%, 0.0365%) = (0.026%, 0.037%) to 3 d.p

b) The result of the 95% confidence interval does not agree with the previous rate of such cancer because the value 0.0224% does not lie within this confidence interval obtained.

Hope this Helps!!!

7 0
3 years ago
Helppppp please i tont get these answers will get brainly i swear
Marrrta [24]

Answer:15-A

Step-by-step explanation:

5 0
3 years ago
Need help with 5 and 6 will give branliest to the first to answer
DochEvi [55]

Answer:

j

Step-by-step explanation:

6 0
3 years ago
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