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Whitepunk [10]
3 years ago
7

Please please help show work

Mathematics
1 answer:
AlexFokin [52]3 years ago
3 0
Surface area is the sum of the areas of each side of a three dimensional object.

There are two sides that are 11x9, two sides that are 9x3, and two sides that are 11x3.

So the surface area is:

2(11)(8)+2(9)(3)+2(11)(3) = 296 ft^2




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A box contains different colored paper clips. The probability of drawing two red paper clips from the box without replacement is
ivann1987 [24]

Answer: 5/14 which is choice B

================================================

How I got this answer:

Define the following events

A = event of picking a red paper clip on the first selection

B = event of picking a red paper clip on the second drawing

Replacement is not made.

Now onto the probabilities for each

P(A) = 2/5 = 0.4 is given to us as this is simply the probability of picking red on the first try

P(A and B) = probability of both events A and B happeing simultaneously = 1/7

P(B|A) = probability event B occurs, given event A has occured

P(B|A) = probability of selecting red on second selection, given first selection is red (no replacement)

P(B|A) = P(A and B)/P(A)

P(B|A) = (1/7) / (2/5)

P(B|A) = (1/7) * (5/2)

P(B|A) = (1*5)/(7*2)

P(B|A) = 5/14

So if event A happens, then the chances of event B happening is 5/14

------------------

A more concrete example:

If we had 15 paperclips, and 6 of them were red, then

P(A) = (# of red)/(# total) = 6/15 = 2/5

P(B|A) = (# of red left)/(# total left) = (6-1)/(15-1) = 5/14

P(A and B) = P(A)*P(B|A) = (2/5)*(5/14) = 10/70 = 1/7

7 0
3 years ago
Read 2 more answers
If the length of the hypotenuse of a right triangle is 39 millimeters and the length of one leg is 15 millimeters what is the le
Genrish500 [490]

Answer:

36 millimeters

Step-by-step explanation:

From Pythagoras theorem, the square of the hypotenuse is equal to the sum of the square of the two other legs

In mathematical terms;

a^2 = b^2 + c^2

Let a represent the hypotenuse = 39 mm and the length of one leg, say c, is 15 mm

Slotting in the values of a and b

39^2 = b^2 + 15^2

1521 = b^2 + 225

collect like terms

1521 - 225 = b^2

1296 = b^2

Take the square root of both sides

36 = b

Therefore b = 36 mm

6 0
3 years ago
Can you walk me through on how to do this
denpristay [2]

Answer:

h=v/πr²

Step-by-step explanation:

v=πr²h

v/π=r²h

v/πr²=h

3 0
3 years ago
10 points! Please help ASAP.
DerKrebs [107]
Answer: Yes
Explanation:
120 % = 1.2

If Maxine is correct, then she spent 1.2
times the hours she did homework than last week.
15 ⋅ 1.2 = 18.0 = 18

15 hours ⋅ 1.2 = 18.0 hours = 18 hours
Maxine is correct
6 0
3 years ago
What is the mean of this data set 82,105,247,119,94,202
Kazeer [188]

To find the mean, add the numbers, and divide by the amount of numbers there is.

(82 + 105 + 247 + 119 + 94 + 202)/6

Simplify. Remember to follow PEMDAS. First, add

(849)/6

Next, divide by 6

849/6 = 141.5

141.5 should be your answer

hope this helps

6 0
2 years ago
Read 2 more answers
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