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Dmitry [639]
3 years ago
8

Find the volume of a cylinder with a radius of 2 mi and a height of 12 mi.

Mathematics
1 answer:
weeeeeb [17]3 years ago
5 0

Answer:

150.72

Step-by-step explanation:

V = 3.14 x r^2 x h

V = 3.14 x 2^2 x 12

V = 3.14 x 4 x 12

V = 150.72

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Simplify the expressions <br> -8(5r+6)+9(6r+3)
nirvana33 [79]
<span>-8(5r+6)+9(6r+3)
= -40r - 48 + 54r + 27
= 14r - 21</span>
7 0
3 years ago
James estimated the total cost of groceries to be $50. The actual cost of the groceries is $65. What is the percent error? Round
Yuki888 [10]

The percentage error is 23%

Explanation:

The estimated total cost of the groceries = $50

The actual cost of the groceries = $65

To find the error value, we need to subtract the value of actual cost and total cost of the groceries.

Thus,

error value = actual cost - total cost

error value = 65-50=15

Hence, error value = $15

The formula to determine the percent error is given by

Percent error $=\left(\frac{\text { error value}}{\text {actual value}}\right) \times 100$

Substituting the values in the formula, we get,

$\begin{aligned} \text { Percent error } &=\left(\frac{15}{65}\right) \times 100 \\ &=0.231 \times 100 \\ &=23.1 \end{aligned}$

Rounding off the value, we have, 23%

Thus, the percentage error is 23%

6 0
3 years ago
Darnay deposited $10 in a saving account earring 10% interest compound annually to the nearest cent how much will he have in 3 y
loris [4]
$10 x 1.1 x 1.1 x 1.1 = $13.31
8 0
4 years ago
Read 2 more answers
An accounting firm has recently recruited six graduates: three men and three women. Three of the graduates are to be selected at
solong [7]

Answer:

a) The probability tree is constructed below

b) the probability that at least two women will be selected is 0.500

Step-by-step explanation:

Given the data in the question;

a) The probability tree is as follows;

                                                 3 men, 3 women

                                                            ↓

           _______________________|________________________

            ↓                             ↓                                  ↓                               ↓

         3 men                    2 men                          1 man                        0 men

      0 women                1 woman                     2 woman                   3 women

b) the probability that at least two women will be selected

p( at least two women would be selected) = P( there are 2 women out of 3 ) + P( there 3 women out of 3

so

p( at least two women would be selected) = C

³C₂ × ³C₁ / ⁶C₃ + ³C₃³C₀ / ⁶C₃  

= 3!/(2!(3-2)!) × 3!/(1!(3-1)!)  / 6!/(3!(6-3)!) + 3!/(3!(3-3)!) × 3!/(0!(3-0)!) / 6!/3!(6-3)!)

= 3 × 3 / 20 + 1 ×  1 / 20

= 9/20 + 1/20

= 0.45 + 0.05

p( at least two women would be selected) = 0.500

Therefore, the probability that at least two women will be selected is 0.500

6 0
3 years ago
Is 1+4(3x-10)-12x equivalent to-9
Ymorist [56]

Answer:

no

Step-by-step explanation:

Given

1 + 4(3x - 10) - 12x ← distribute the parenthesis

= 1 + 12x - 40 - 12x ← collect like terms

= 1 - 40

= - 39 ≠ - 9

5 0
3 years ago
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