Find the area and select one of the answers in the file

Irina-Kira [14]

The area of the big circle is 415.48 and the smaller one is 59.69 so divide 59.69 by that number and multiply by 100 then do 100- that number(14.37) to get 85.63%

5 0

4 years ago

The 98 percent confidence interval (−0.248,−0.134) was constructed to estimate the slope of a regression model for a bivariate d

emmainna [20.7K]

Answer:

a. Alice’s claim is correct.

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval is inversely proportional to the sample size. This means that a smaller sample size leads to a smaller margin of error and a narrower interval, while a larger sample size leads to a larger margin of error and a wider interval.

Alice claims that a sample size of 25 will produce a narrower interval

25 > 20, so smaller margin of error and narrower interval, which means that Alice is correct.

Desmond claims that a sample size of 15 will produce a narrower interval.

15 < 20, so larger margin of error and wider interval, which means that Desmond is wrong.

So the correct answer is given by option a.

8 0

3 years ago

Find the point closest to the origin in the line of intersection of the planes y + 2z = 10 and x + y = 11. The point closest to

Bogdan [553]

Answer with explanation:

The equation of two planes are

1.→y +2 z=10

2.→x+y=11

To find the point of Intersection of two planes

let,→ y=t

→2 z=10 - t

10 -2 z=t

→x=11 -t

11 -x=t

So,Writing equation of line which is intersection of two planes

→ 11 -x = y= 10-2 z=t

$\rightarrow \frac{x-11}{-1}=\frac{y}{1}=\frac{z-5}{\frac{-1}{2}}=t$

---------------------------------(1)

⇒Putting , x=0, y=0 and z=0 in the above equation ,to find the point Closest to Origin which will be

=(11, 0, 10)

6 0

3 years ago

Every year, people in the US buy 2.7 billion boxes of breakfast cereal. A “typical” cereal box has dimensions of 2.5 inches by 7

sergey [27]

Answer:

A possible pair of values for length and width of the warehouse are:

Length = 10^4 ft, Width = 3.5571 * 10^3 ft.

It is not possible to redesign the cereal box to increase the amount of cereal in this warehouse, because the total volume occupied inside the warehouse will be the same (limited by the warehouse volume).

Step-by-step explanation:

First we need to find the volume of one box. The volume of the box can be calculated multiplying all the three dimensions:

V_box = 2.5 * 7.75 * 11.75 = 227.6563 in3

We know that the warehouse can store 2.7 billion boxes, so we can find the volume of the warehouse by multiplying this amount by the volume of each box:

V_warehouse = 227.6563 * 2.7 * 10^9 = 614.6719 * 10^9 in3

Converting from cubic inches to cubic feet (1 ft3 = 12^3 in3), we have:

V_warehouse = 614.6719 * 10^9 / 12^3 = 3.5571 * 10^8 ft3

If we know that the height of the warehouse is 10 feet, we have that the base area is:

Area = V_warehouse / height = 3.5571 * 10^7 ft3

A possible pair of values for length and width of the warehouse are:

Length = 10^4 ft, Width = 3.5571 * 10^3 ft

(We just need to choose value that makes the relation Length * Width = Area be true)

It is not possible to redesign the cereal box to increase the amount of cereal in this warehouse, because the total volume occupied inside the warehouse will be the same (limited by the warehouse volume)

5 0

4 years ago

What is the answer to -3k-(-8)+2

NISA [10]

Answer:

-3k + 10

Step-by-step explanation:

-3k - (-8) + 2

-3k + 8 + 2 !!

-3k + 10 → simplified version of the given expression

!! → We got rid of the parenthesis by combining the two negative signs. The rules state that any 2 identical signs combined (in this case, - and -) equal a positive sign (+).

Hope it helped,

BiologiaMagister

6 0

3 years ago

Read 2 more answers