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3 years ago

8

WILL GIVE BRAINLIEST

1 answer:

Katena32 [7]3 years ago

8 0

Translation, rotation, and reflection are always congruent. Dilation's are similar to each other....

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Felicity is planting a garden. Should she measure the perimeter or area to find how much dirt she needs to cover the garden?

Alex_Xolod [135]

She wants to fill the garden with dirt so she should measure the area. If she were building a fence outside the garden then she'd measure the perimeter.

4 0

3 years ago

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

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

<u>So, 96% confidence interval for the population mean, </u> $\mu$ <u> is ;</u>

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

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

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

= [54.30 , 55.70]

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

7 0

3 years ago

–4x-2y=-2<br> x-2y=9<br> what do you get if you subtract the second from the first

kirill115 [55]

Answer:

-4×-2y=2

-4×+8y=-8

6y=6

y=1 then you the value of y and to put in any one equestion

7 0

2 years ago

There is $100 it goes up 10% how much is it

Umnica [9.8K]

Its 110 cuz it goes up 10% if it was 20% it would be 120

5 0

3 years ago

Read 2 more answers

Jane is building a bookcase with 4 shelves. Each shelf is 24 inches long. How much wood does Jane need to make the 4 shelves?

Ksivusya [100]

Answer: 96 inches of wood

Step-by-step explanation:

24 × 4 = 96

So he would need 96 inches of wood!

Hope this helps!!! Good luck!!! ;)

7 0

3 years ago