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oksano4ka [1.4K]
2 years ago
13

F (x) = -4x² + 10x + 13

Mathematics
1 answer:
Alexus [3.1K]2 years ago
3 0

Answer:

f(7) = -113

Step-by-step explanation:

Hello!

Substitute 7 for x in the equation.

<h3>Evaluate</h3>
  • f(x) = -4x² + 10x + 13
  • f(7) = -4(7)² + 10(7) + 13
  • f(7) = -4(49) + 70 + 13
  • f(7) = -196 + 70 + 13
  • f(7) = -113

f(7) is -113.

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Fred flips a coin, spins the spinner, and rolls a standard number cube. Find the probability that the coin will show tails, the
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Answer:

The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is \frac{4}{3}  

Step-by-step explanation:

Given : Fred flips a coin, spins the spinner, and rolls a standard number cube.

To find : The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three ?

Solution :

First we find probability one by one,

1) Flips a coin - Head, Tail

Total number of outcome = 2

Favorable outcome (getting a tail) = 1

Probability that the coin will show tails is P(T)=\frac{1}{2}

2) Spins the spinner - yellow, green, blue

Total number of outcome = 3

Favorable outcome (land on yellow or green) = 2

Probability that the spinner will land on yellow or green P(S)=\frac{2}{3}

3) Rolls a standard number cube - 1,2,3,4,5,6

Total number of outcome = 6

Favorable outcome (show a three) = 1

Probability that the cube will show a three P(C)=\frac{1}{6}

The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is

P=P(T)+P(S)+P(C)

P=\frac{1}{2}+\frac{2}{3}+\frac{1}{6}

P=\frac{3+4+1}{6}

P=\frac{8}{6}

P=\frac{4}{3}

Therefore, The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is \frac{4}{3}

5 0
3 years ago
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