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harkovskaia [24]
3 years ago
14

The description below represents Function A and the table represents Function B: Function A The function is 2 more than 5 times

x. Function B x y −1 2 0 5 1 8 Which statement is correct about the slope and intercept of the two functions?
Mathematics
1 answer:
Vlad [161]3 years ago
7 0

Answer:

The slope of Function A is greater than the slope of function B  while the y-intercept of Function  B is greater than the y-intercept of function A.

Step-by-step explanation:

Function A is f(x) = 5x + 2

The slope is 5 and the y-intercept is (0, 2).

Function B. The slope is  (5-2) / (0- -1) = 3.

also (8-5) / (1 - 0) = 3

The slope is 3.

The y-intercept is at (0, 5) because one point on the graph is (0, 5).

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It would need 125 litters of gasoline
8 0
3 years ago
A teacher teaches two classes with 8 students each. Each student has a 95% chance of passing their class independent of the othe
dsp73

Answer:

0.4466 = 44.66% probability that, in exactly one of the two classes, all 8 students pass.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they pass, or they do not. The probability of an student passing is independent of other students, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Probability that all students pass in a class:

Class of 8 students, which means that n = 8

Each student has a 95% chance of passing their class independent of the other students, which means that p = 0.95

This probability is P(X = 8). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 8) = C_{8,8}.(0.95)^{8}.(0.05)^{0} = 0.6634

Find the probability that, in exactly one of the two classes, all 8 students pass.

Two classes means that n = 2

0.6634 probability all students pass in a class, which means that p = 0.6634.

This probability is P(X = 1). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{2,1}.(0.6634)^{1}.(0.3366)^{1} = 0.4466

0.4466 = 44.66% probability that, in exactly one of the two classes, all 8 students pass.

3 0
3 years ago
What does k and y equal?
Kaylis [27]
X and y vary directily means

y=kx

72=3k
divide both sides by 3
24=k

k=24
y=72
8 0
3 years ago
Find the unknown side length, x. Write your answer in simplest radical form.
Otrada [13]

Answer:

B (5 sqrt10)

Step-by-step explanation:

If the hypotenuse is 17, and a leg is 8, that makes the other leg equal to sqrt((17^2)-(8^2)) = sqrt(289-64) = sqrt(225) = 15.

Because you subtract 3 from the leg with length 8, that makes the smaller triangles leg 5. That makes the hypotenuse sqrt(5^2 + 15^2) = 5sqrt10

I'm guessing you typoed for B and meant 5sqrt10, so the answer is B

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