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NemiM [27]
3 years ago
14

F(x) = 4/5 x - 2 Find f(3)Answer is a fraction ​

Mathematics
2 answers:
FromTheMoon [43]3 years ago
7 0

Answer:

2/5

Step-by-step explanation:

f(x) = 4/5 x - 2

Let x=3

f(3) = 4/5 *3 - 2

     =12/5 -2

    =12/5 -10/5

    = 2/5

VMariaS [17]3 years ago
5 0
The answer would be 2/5 it’s like your minusing 2 from 4 and keeping the 5 the dominator and then u would have 2/5
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3 years ago
Read 2 more answers
Three cards are drawn from a standard deck of 52 cards without replacement. Find the probability that the first card is an ace,
MrRissso [65]

Answer:

4.82\cdot 10^{-4}

Step-by-step explanation:

In a deck of cart, we have:

a = 4 (aces)

t = 4 (three)

j = 4 (jacks)

And the total number of cards in the deck is

n = 52

So, the probability of drawing an ace as first cart is:

p(a)=\frac{a}{n}=\frac{4}{52}=\frac{1}{13}=0.0769

At the second drawing, the ace is not replaced within the deck. So the number of cards left in the deck is

n-1=51

Therefore, the probability of drawing a three at the 2nd draw is

p(t)=\frac{t}{n-1}=\frac{4}{51}=0.0784

Then, at the third draw, the previous 2 cards are not replaced, so there are now

n-2=50

cards in the deck. So, the probability of drawing a jack is

p(j)=\frac{j}{n-2}=\frac{4}{50}=0.08

Therefore, the total probability of drawing an ace, a three and then a jack is:

p(atj)=p(a)\cdot p(j) \cdot p(t)=0.0769\cdot 0.0784 \cdot 0.08 =4.82\cdot 10^{-4}

4 0
3 years ago
Because all airline passengers do not show up for their reserved seat, an airline sells 125 tickets for a flight that holds only
bekas [8.4K]

Answer: a) 0.9961, b) 0.9886

Step-by-step explanation:

Since we have given that

Probability that does not show up = 0.10

Probability that show up = 0.90

Here, we use "Binomial distribution":

n = 125 and p = 0.90

Number of passengers that hold in a flight = 120

a) What is the probability that every passenger who shows up can take the flight?

P(X\leq 120)=\sum_{x=0}^{120}^{125}C_x(0.90)^x(0.10)^{125-x}=0.9961

(b) What is the probability that the flight departs with empty seats?

P(X\leq 119)=\sum _{x=0}^{119}^{125}C_x(0.90)^x)(0.10)^{125-x}=0.9886

Hence, a) 0.9961, b) 0.9886

3 0
3 years ago
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