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Sveta_85 [38]
3 years ago
13

Find each function value.

Mathematics
1 answer:
Levart [38]3 years ago
5 0

Put the values of x to the equations of the functions:

1. f(9) → x = 9; f(x) = -3x + 10

f(9) = -3(9) + 10 = -27 + 10 = -17

2. f(-2) → x = -2; f(x) = 4x - 1

f(-2) = 4(-2) - 1 = -8 - 1 = -9

3. f(-5) → x = -5; f(x) = -2x + 8

f(-5) = -2(-5) + 8 = 10 + 8 = 18

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Find the probability of drawing 3 Aces at random from a deck of 52 ordinary playing cards if the cards are:_________
Minchanka [31]

Answer:

A) 1/2197

B) 1/5525

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome.

Since there are 52 random cards in a deck of card, the total outcome will be 52.

a) Also in a deck of card, there are 4 aces. If we are to select 3 aces with replacement, this means that each time we pick up an ace from the card, it was returned.

Pr(drawing an ace) = 4/52

Pr(drawing 3 aces and replacing it) = 4/52 *4/52*4/52

Pr(drawing 3 aces and replacing it) = 64/140,608

Pr(drawing 3 aces and replacing it) = 1/2197

b) If we pick 3 aces without replacement then each time we pick an ace, the total number cards keeps reducing.

Pr(picking the first ace) = 4/52

Pr(picking the second ace without replacing) = 3/51 (Since we didn't replace the first one, the total ace in the deck of card will reduce to 3 and the total will be 51)

Pr(picking the third ace without replacing) = 2/50 (since we didn't replace the first two aces, the total ace in the deck of card will reduce to 2 and the total will be 50)

Pr(drawing 3 aces without replacement) =  4/52*3/51*2/50

Pr(drawing 3 aces without replacement) =  24/132,600

Pr(drawing 3 aces without replacement) = 1/5525

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3 years ago
Sally and Eddy had a total of $580 after spending $80 and eddy had 240 left how much money does Sally have?​
levacccp [35]

Answer:

260

Step-by-step explanation:

8 0
3 years ago
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zhannawk [14.2K]

Answer:

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Step-by-step explanation:

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5 0
2 years ago
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What is the coefficient of X^2Y^2 in the expansion of (x+y)^4
nata0808 [166]

Answer:

6

Step-by-step explanation:

We want to expand this; (x + y)⁴

This can be written as;

(x + y)² × (x + y)²

This gives;

(x² + 2xy + y²) × (x² + 2xy + y²)

This gives;

x²(x² + 2xy + y²) + 2xy(x² + 2xy + y²) + y²(x² + 2xy + y²) = x⁴ + 2x³y + x²y² + 2x³y + 4x²y² + 2xy³ + x²y² + 2xy³ + y⁴

Simplifying gives;

x⁴ + 4x³y + 4xy³ + 6x²y² + y⁴

Thus, the coefficient of x²y² is 6

3 0
2 years ago
Write an expression that is equal to 3 times 2 and 1 /4
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3x2x(1/4)= ????? And then u find the answer
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