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Which of the following would be a correct interpretation of a 99% confidence interval such as 4.15.6? Choose the correct answe

Alik [6]

Answer:

A. We are 99% confident that the interval from 4.1 to 5.6 actually does contain the true value of population mean.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

99% confidence interval means that we are 99% sure that this interval contains the population mean.

Interval between 4.1 and 5.6.

So the correct answer is given by option A.

3 0

3 years ago

The sides of a square field are 32 meters. A sprinkler in the center of the field sprays a circular area with a diameter that co

olga2289 [7]

You find the area not touched by the sprinkler by subtracting the area of the circle from the area of the square. The area of the square is 32*32 which is 1024. The area of the circle is found by multiplying 3.14 by the radius squared. Our radius is half the diameter of 32, so r = 16. A=3.14(16)(16) which gives us an area of the circle to be 803.84. Subtracting the 2 areas, square minus circle, is 1024-803.84=220.16 meters squared.

5 0

4 years ago

The Best Company produces two commercial products : blenders and mixers. Both products require a two step production process inv

deff fn [24]

Answer:

Maximum profit is $87 when 3 blenders and 11 mixers are produced.

Step-by-step explanation:

let blender is represented by $x_{1}$ and and mixer by $x_{2}$ .

total time to deliver parts = 24 hrs

total time to assemble = 30 hrs

time taken by each blender to deliver parts = 1 hr

time taken by each mixer to deliver parts = 2 hr

time taken by blenders in final assembling= 2 hr

time taken by mixers in final assembling = 3 hr

Each blender produced nets the firm= $7

Each mixer produced nets the firm= $6

Using this all data linear system of equation will be:

$x_{1} + 2x_{2} =24 ----- (1)\\2x_{1} + 2x_{2} = 30 ----- (2)\\$

profit function:

$z= 7x_{1} +6x_{2} --- (3)$

$from (1)\\x_{1} = 0 \implies x_{2}= 12\\x_{2}= 0 \implies x_{1}= 24\\$

Coordinate points obtained from (1) are (0,12) and (24,0)

$from (2)\\x_{1}=0 \implies x_{2}=10\\x_{2}=0 \implies x_{1}=15\\$

Coordinate points obtained from (2) are (0,10) and (15,0)

plotting these on graph

points lying in feasible region are:

A(0,0)

B(0,10)

C(3,11)

D(12,0)

substituting these points in (3) to find the maximum profit:

for A (0,0)

z = 0

for B (0,10)

z = 60

for C (3,11)

z = 87

for D (12,0)

z=84

So maximum profit is $87 when 3 blenders and 11 mixers are produced.

4 0

4 years ago

At a bargain store, Tanya bought 3 items that each cost the same amount. Tony bought 4 items that each cost the same amount, but

zmey [24]

<span>If Tanya’s three items (x) cost the same as Tony’s four items (y), 3x = 4y. Y is 2.25 less than x, so: 3x = 4x - 4 x 2.25. 3x = 4x - 9. 3x + 9 = 4x. 9 = x. Therefore, y = 9 - 2.25. x = 9 and y = 6.75. Three times 9 and four times 6.75 is 27. Tanya’s items cost $9 each and Tony’s cost $6.75.</span>

3 0

3 years ago

Each year, Kipp raises money by participating in the Walk for Breast Cancer. Last year, Mr. Madrid walked at a pace of 12 miles

Ilia_Sergeevich [38]

A.

The rate is 12:2

B.

Set up a proportion:

12/2 = x/5

Multiply 5 to both sides:

60/2 = x

Divide:

30 = x

So he will walk 30 miles in 5 hours.

C.

To find out, we can divide 12 / 2.

12 / 2 = 6 miles per hour

8 0

4 years ago