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Volgvan
3 years ago
13

The Darnells are having a swimming pool installed. The pool has a radius of 14 feet and a height of 4 feet. What is the volume o

f the pool?
Mathematics
1 answer:
ella [17]3 years ago
8 0
So a circular pool will be in the shape of a cylinder. and the formula for finding the area of a cylinder is 2 \pi r^{2} +2 \pi rh . r=radius, h=height. If we put the numbers into the equation it is 2 \pi 14^{2} +2 \pi 14(4). .14 squared is 196 and 4*14= 56. So our equation is now 2 \pi (196)+2 \pi (56). 2*pi=6.28318530718 but let's round that to 6.283. So now our equation is much simpler 6.283(196)+6.283(56). Just multiply them. 1231.504+351.858= <span>1583.362</span> is your final answer. 
You might be interested in
What is not a statistical question?
Aleksandr [31]

Answer:

3

Step-by-step explanation:

Because there is only one table and you are asking for only one answer

6 0
3 years ago
A supervisor records the repair cost for 14 randomly selected refrigerators. A sample mean of $79.20 and standard deviation of $
Nitella [24]

Answer:

( $74.623, $83.777)

The 90% confidence interval is = ( $74.623, $83.777)

Critical value at 90% confidence = 1.645

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = $79.20

Standard deviation r = $10.41

Number of samples n = 14

Confidence interval = 90%

Using the z table;

The critical value that should be used in constructing the confidence interval.

z(α=0.05) = 1.645

Critical value at 90% confidence z = 1.645

Substituting the values we have;

$79.20+/-1.645($10.42/√14)

$79.20+/-1.645($2.782189528308)

$79.20+/-$4.576701774067

$79.20+/-$4.577

( $74.623, $83.777)

The 90% confidence interval is = ( $74.623, $83.777)

5 0
3 years ago
The A&amp;M Hobby Shop carries a line of radio-controlled model racing cars. Demand for the cars is assumed to be constant at a
Bond [772]

Answer:

Step-by-step explanation:

A) Demand per month= 40 cars

Annual Demand (D)= 12*40 = 480

Fixed Cost per order (K)= 15

Holding Cost= 20% of cost= 60 *0.2 = 12

a. Economic Order Quantity=

Q^{*}={\sqrt {{\frac {2DK}{h}}}}

= √(2*480*15)/12

=34.64 ~ 35

Total Cost =P*D+K(D/EOQ)+h(EOQ/2) P= Cost per unit

= 60*480+ 15(480/35) + 12(35/2)

= 28800+ 205.71+ 210

=$29215.71

B). Backorder Cost (b)= $45

Qbo= Q* × √( b+h/ h)

= 35*√(12+45/ 45)

= 35* 1.12

=39.28 ~ 39

Shortage (S)= Qbo * (K/K+b)

= 39* (15/15+45)

= 39* 0.25

= 9.75

Total Cost Minimum=( bS2/ 2Qbo) + P (Qbo- S)2/2Qbo + K(D/Qbo)

=45* 9.752 / 2* 392 + 60 (39-9.75)2/ 2* 392 + 15 ( 480/39)

= 1.40+ 21.9.+ 184.61

=$207.91

C)Length of backorder days (d) = Demand ÷ amount of working days

d = 480 ÷ 300

d = 1.6

Calculate the backorders as the maximum number of backorders divided by the demand per day

s/d = 9.75/1.6 = 6.09 days (answer)

D) Calculate the difference in total between not using backorder:

$207.85 + $207.85 - 207.91 = $207.79

The saving in using backorder is $207.79.

Therefore I would recommend using a backorder

6 0
3 years ago
The rectangular rug has side lengths of 3 and 4 ft. What is the length of the diagonal? Draw a picture of the problem and solve.
Nadusha1986 [10]

ANSWER

The length of the diagonal is 5 ft

EXPLANATION

The diagram of the rug with the diagonal is:

The diagonal and the sides form a right triangle, so we can use the Pythagorean theorem to find x, the length of the diagonal:

\begin{gathered} x^2=3^2+4^2 \\ x=\sqrt[]{9+16} \\ x=\sqrt[]{25} \\ x=5 \end{gathered}

7 0
1 year ago
A soccer field is a rectangle 100 meters wide and 130 meters long. The coach asks players run from one corner to the other corne
velikii [3]

Answer:

164.0123 meters

Step-by-step explanation:

√(130^2 + 100^2)

the diagonal of rectangle is the hypotenus

7 0
3 years ago
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