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3 years ago

(-3,-3) (5,1) I have to use slope formula too. Please help

Mathematics

1 answer:

kotegsom [21]3 years ago

7 0

Answer:

The slope is 1/2.

Step-by-step explanation:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{1+3}{5+3}=\frac{4}{8}=\boxed{\frac{1}{2}}$

Hope this helps.

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Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 51% chan

Charra [1.4K]

Answer:

a) 0.3270 = 32.70% probability that Christine fails the course

b) 0.3917 = 39.17% probability that she had found someone to help

Step-by-step explanation:

We have these following probabilities:

61% probability that Christine find a coach.

100 - 61 = 39% probability that Christine does not find a coach.

With a coach, a 21% probability of failing.

Without a coach, a 51% probability of failing.

a. What is the probability that Christine fails the course?

21% of 61%(finds a tutor) plus 51% of 39%(does not find a tutor). So

P = 0.21*0.61 + 0.51*0.39 = 0.327.

0.327 = 32.7% probability that Christine fails the course

b. Christine ends up failing the course. What is the probability that she had found someone to help?

This can be formulated by the Bayes formula:

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

In which P(B|A) is the probability of B happening given that A happened and P(A|B) is the probability of A happening given that B happened.

In this question.

P(B|A) is the probability of finding a tutor given that she failed.

P(B) is the probability of finding a tutor. So P(B) = 0.61.

P(A|B) is the probability of failing when finding a tutor. So P(A|B) = 0.21

P(A) is the probability of failing. So P(A) = 0.327.

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.61*0.21}{0.327} = 0.3917$

0.3917 = 39.17% probability that she had found someone to help

4 0

3 years ago

If the fuel tank in Jim's car holds 14 gallons of fuel, define a formula to determine the number of gallons of fuel in Jim's fue

salantis [7]

Considering that the car does 50 miles per gallon, the linear function for the number of gallons of fuel in Jim's fuel tank, n, in terms of the number of miles x that Jim has driven since filling his tank is given by:

$y = -0.02x + 14$

<h3>What is a linear function?</h3>

A linear function is modeled by:

$y = mx + b$

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0.

In this problem:

Jim's car holds 14 gallons of fuel, hence $b = 14$ .

Considering it does 50 miles per gallon, and the amount in the tank will decrease, the slope is $m = -\frac{1}{50} = -0.02$ .

Hence, the function is:

$y = -0.02x + 14$

You can learn more about linear functions at brainly.com/question/25898120

5 0

3 years ago

Josh works for The Milkshake Diner. The company wants to know which milkshake flavor is the most popular. Today, he surveyed

AlekseyPX

its b i think please vote me i need points

6 0

3 years ago

Line segment AB has endpoints A(2, -3) and B(-4, 6). What are the coordinates of the midpoint of AB?

KIM [24]

(-1,1.5) because you add both ys and both xs then divide by two to find the middle

8 0

3 years ago

How many solutions are there for the equation y = x + 2?

defon

Answer:

Infinite solutions.

Step-by-step explanation:

If we let x = 1 then y = 3, or if x = 3 y = 5 and so on.

We can substitute any number of values of x and find the corresponding value of y so there are infinite solutions.

5 0

3 years ago