I need help showing my work for this question! Please!!

A survey was conducted that asked 1002 people how many books they had read in the past year. results indicated that x overbar eq

Shalnov [3]

The confidence interval would be (10.44, 12.16). This means that if we take repeated samples, the true mean lies in 90% of these intervals.

To find the confidence interval, we use:
$\overline{x} \pm z*(\frac{\sigma}{\sqrt{n}})$

We first find the z-value associated with this. To do this:
Convert 90% to a decimal: 90% = 90/100 = 0.9
Subtract from 1: 1-0.9 = 0.1
Divide by 2: 0.1/2 = 0.05
Subtract from 1: 1-0.05 = 0.95

Using a z-table (http://www.z-table.com) we see that this is directly between two z-scores, 1.64 and 1.65; we will use 1.645:

$11.3 \pm 1.645*(\frac{16.6}{\sqrt{1002}})
\\
\\11.3 \pm 0.86
\\(11.3-0.86, 11.3+0.86)
\\(10.44, 12.16)$

3 0

4 years ago

The lower supports are and the area of the two supports is square meters. The upper arch can be decomposed as one semicircle wit

Galina-37 [17]

Answer:

The lower supports are Congruent Rectangles and the area of the two supports is 24 square meters.

The upper arch can be decomposed as one semicircle with radius 6 meters minus a semicircle with radius 3 meters.

The area of the archway is (13.5 π + 24) square meters.

Step-by-step explanation:

See attachment for the firgure,

In order to determine the area of archway = The area of upper support + area of lower support.

As given, the lower support are two congruent rectangles consists of dimension 3 m × 4 m

Therefore, the area of lower support can be written as,

The area of lower support = 3 × 4 + 3 × 4 = 12 + 12 = 24 square m.

Now, the upper support arch can be decomposed as the two concentric semi circles having radius 3 m and 6 m,

Hence, the area of the upper support = Area of semi circle having radius i.e 6 m - Area of semi circle having radius i.e 3 m

=> π6²/2 - π3²/2= 27π/2= 13.5π square m

Therefore, the area of the archway = (13.5 π + 24) square meters

4 0

4 years ago

Lorenzo has a checkbook balance of $118.00. He writes two checks, one for $9.00 and one for $84.25. He then deposits $95.00. Fin

natka813 [3]

Hey there!!
So lets do something I like to call "The Process of Elimination".

D is not correct because 118 -95 is not true! Lorenzo DEPOSITED 95.00 which means he added that amount to his balance and not took it away.

B is incorrect because there is no need to divide , here we are simply either taking away money from his current balance or ,we are adding.

C would be incorrect as well, because recall how i said that 95.00 dollars were "deposited" so he would add 95 , and not take it away.

That leaves us with A . Yay.....but wait, not so fast!
Lets double check shall we?

so he had 118,correct? he wrote a check for 9 dollars and 84.25. Keep in mind, that when someone writes a check, there taking money away from there account, which means subtract 9 and 84.25 from 118.
And then , lets not forget that 95 he deposited.
Deposit means add.

So yes! A is the correct answer!

Hope my explanation helped :)

4 0

4 years ago

Read 2 more answers

GIVING BRAINIEST IF RIGHT!! ANSWER FAST PLEASE

mojhsa [17]

Answer:

I think its B.) Yes, because the ratios simplify to the same number., sorry if it's wrong

Step-by-step explanation:

50/10 = 1/5

60/12 = 1/5

70/14 = 1/5

80/16 = 1/5