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3 years ago

What are all the factors of 27

Mathematics

1 answer:

kicyunya [14]3 years ago

7 0

The factors of 27 is as follows:
1,3,9, and 27
or
1×27
and
3×9

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A survey was conducted to determine the average age at which college seniors hope to retire in a simple random sample of 101 sen

tatyana61 [14]

Answer:

96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].

Step-by-step explanation:

We are given that a survey was conducted to determine the average age at which college seniors hope to retire in a simple random sample of 101 seniors, 55 was the average desired retirement age, with a standard deviation of 3.4 years.

Firstly, the Pivotal quantity for 96% confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average desired retirement age = 55 years

$\sigma$ = sample standard deviation = 3.4 years

n = sample of seniors = 101

$\mu$ = true mean retirement age of all college students

Here for constructing 96% confidence interval we have used One-sample t test statistics as we don't know about population standard deviation.

So, 96% confidence interval for the population mean, $\mu$ is ;

P(-2.114 < $t_1_0_0$ < 2.114) = 0.96 {As the critical value of t at 100 degree

of freedom are -2.114 & 2.114 with P = 2%}

P(-2.114 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.114) = 0.96

P( $-2.114 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $2.114 \times {\frac{s}{\sqrt{n} } }$ ) = 0.96

P( $\bar X-2.114 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.114 \times {\frac{s}{\sqrt{n} } }$ ) = 0.96

96% confidence interval for $\mu$ = [ $\bar X-2.114 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+2.114 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $55-2.114 \times {\frac{3.4}{\sqrt{101} } }$ , $55+2.114 \times {\frac{3.4}{\sqrt{101} } }$ ]

= [54.30 , 55.70]

Therefore, 96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].

7 0

2 years ago

Jason has applied to be a camp counselor for the summer. The job pays $9 per hour. The equation to represent Jason’s job is y =

Pepsi [2]

Answer:

Jason's camp counselor job pays a higher rate than Mia's lifeguard job.

Jason's job pays $9 a hour.

Mia's job pays $8.75 a hour.

52.50 divided by 6 equals 8.75

70.00 divided by 8 equals 8.75

43.75 divided by 5 equals 8.75

Step-by-step explanation:

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3 years ago

If x=9 and y=−3, evaluate the following expression:10−4xy

ValentinkaMS [17]

Answer:

118

Step-by-step explanation:

10-4xy

10-4(9)(-3)

10-36(-3)

10+108

118

6 0

2 years ago

Find the area. Simplify your answer.

love history [14]

Answer:

10x + 9

Step-by-step explanation:

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2 years ago

Trevor was reading a book for a book report. Last week, he read 35 pages of the book. This week, he read 4.5 times as many pages

navik [9.2K]

9514 1404 393

Answer:

see below

Step-by-step explanation:

Multiply the numbers as though they were integers, then mark off a number of decimal places in the product equal to the total number of decimal places in the numbers being multiplied (1).

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3 years ago