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2 years ago

VOCABULARY Is 5 in the solution set of x + 3 >8 ?

Mathematics

1 answer:

Gennadij [26K]2 years ago

3 0

Answer:

d. no; If x is 5, the expression on the left simplifies to 8, making the inequality false.

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A commuter crosses one of three bridges, A, B, or C, to go home from work. The commuter crosses bridge A with probability 1/3, c

mihalych1998 [28]

Answer:

0.1333 = 13.33% probability that bridge B was used.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Arrives home by 6 pm

Event B: Bridge B used.

Probability of arriving home by 6 pm:

75% of 1/3(Bridge A)

60% of 1/6(Bridge B)

80% of 1/2(Bridge C)

$P(A) = 0.75*\frac{1}{3} + 0.6*\frac{1}{6} + 0.8*\frac{1}{2} = 0.75$

Probability of arriving home by 6 pm using Bridge B:

60% of 1/6. So

$P(A \cap B) = 0.6*\frac{1}{6} = 0.1$

Find the probability that bridge B was used.

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1}{0.75} = 0.1333$

0.1333 = 13.33% probability that bridge B was used.

8 0

2 years ago

256 people said they liked the movie. If 1/2 of the people liked the movie, how many people watched the movie? Can I get help pl

Novosadov [1.4K]

answer 128 people 256×1/2

6 0

2 years ago

X^2 + y^2 = 25 <br> x^2 + y^2 = 19

olga55 [171]

What do you need help on.

7 0

2 years ago

What is the inverse of the function f(x) = 2x + 1?

Alexandra [31]

Answer:

$f^{-1}$ (x) = $\frac{x-1}{2}$

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2 ( divide both sides by 2 )

$\frac{y-1}{2}$ = x

Change y back into terms of x and let x = $f^{-1}$ (x), thus

$f^{-1}$ (x ) = $\frac{x-1}{2}$

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3 years ago

Find f (3) +g(1) – g(3) =

pantera1 [17]

Sorry I don’t know the answer hope you find one bye halleluja

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3 years ago