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frez [133]
3 years ago
11

The spinner shown is spun once. Find the probability of each event. Write each answer as a fraction, percent, and decimal. Ma

Mathematics
1 answer:
poizon [28]3 years ago
7 0

Complete question :

The spinner shown is spun once. Determine the probability of each event. Express each answer as a fraction, a decimal, and a percent. P(C)

Answer:

1 / 8; 0.125 ; 12.5%

Step-by-step explanation:

From the spinner :

The number of partitions or faces on the spinner is 8 ;

The number of occurences of c on the spinner is 1

The probability of obtaining c written as P(c) :

Probability = required outcome = number of c on spinner / total possible outcomes, total number of faces in spinner = 8

P(c) = 1 / 8

As decimal :

1/8 = 0.125

As a percentage :

0.125 * 100% = 12.5%

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Answer:

Step-by-step explanation:

Given

There are 52 cards in total

there are total of 13 pairs of same cards with each pair containing 4 cards

Probability of getting a pair or three of kind card=1-Probability of all three cards being different

Probability of selecting all three different cards can be find out by selecting a card from first 13 pairs and remaining 2 cards from remaining 12 pairs i.e.

=\frac{52\times 48\times 44}{52\times 51\times 50}

for first card there are 52 options after choosing first card one pair is destroyed as we have to select different card .

For second card we have to select from remaining 12 pairs i.e. 48 cards and so on for third card.

Required Probability is =1-\frac{52\times 48\times 44}{52\times 51\times 50}

=\frac{22776}{132600}

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3 years ago
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Answer:

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Step-by-step explanation:

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Use the graph of the function f to find f(-1)
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If anybody answers these questions I will get them brainliest and if somebody else verifies that it is the correct answer I can
valina [46]

Part (a)

<h3>Answer: x^3 + 12x^2 + 47x + 60</h3>

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

Work Shown:

Let's say we have

  • L = length = x+5
  • W = width = x+4
  • H = height = x+3

To find the volume of the block, we multiply the length width and height.

So,

volume = (length)*(width)*(height)

V = L*W*H

V = LW*(x+3) .... replace H with (x+3)

V = LW*x + LW*3 .... distribute

V = Lx*(W) + 3L*(W)

V = Lx(x+4) + 3L(x+4) .... replace W with x+4

V = Lx^2 + 4Lx + 3Lx + 12L .... distribute

V = Lx^2 + 7Lx + 12L

V = x^2*(L) + 7x*(L) + 12*(L)

V = x^2*(x+5) + 7x*(x+5) + 12*(x+5) .... replace L with x+5

V = x^3 + 5x^2 + 7x^2 + 35x + 12x + 60 .... distribute

V = x^3 + 12x^2 + 47x + 60

x^3 + 12x^2 + 47x + 60 is the polynomial in standard form that represents the volume of the block.

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

Part (b)

<h3>Answer: 336 cubic feet</h3>

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

Work Shown:

We can plug x = 3 into the polynomial we found

V = x^3 + 12x^2 + 47x + 60

V = (3)^3 + 12(3)^2 + 47(3) + 60

V = 27 + 12(9) + 47(3) + 60

V = 27 + 108 + 141 + 60

V = 336

Or we could find the volume like this

V = L*W*H

V = (x+5)*(x+4)*(x+3)

V = (3+5)*(3+4)*(3+3)

V = (8)*(7)*(6)

V = 336

Either way, we get the same volume of 336 cubic feet.

3 0
3 years ago
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