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2 years ago

What's the slope of the equation y=-3/5x+4?

Mathematics

2 answers:

pentagon [3]2 years ago

8 0

Answer:

the slope is 3/5

Step-by-step explanation:

and if you want the y intercept it's 4

elixir [45]2 years ago

3 0

Answer:

Use the slope-intercept form

y = m x +b

to find the slope m

m=3/5

Step-by-step explanation:

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nalin [4]

Answer:

c. 45d+.25m

Step-by-step explanation:

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2 years ago

I need help. And could you explain to me as well

Dmitry [639]

It is the third one out of all 4

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3 years ago

Read 2 more answers

Josh is on a road trip returning home from vacation. The graph below showst shows distance remaining at various times on the tri

zheka24 [161]

Answer:

Part a) $y=-40x+160$

Part b) see the explanation

Part c) $40\ \frac{miles}{hour}$

Step-by-step explanation:

The picture of the question in the attached figure

Let

x ----> the time in hours

y ----> the number of miles from Josh's home

Part a) What is the equation of the line, written in slope-intercept form?

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take the intercepts points

(0.160) and (4,0)

substitute

$m=\frac{0-160}{4-0}$

$m=\frac{-160}{4}=-40$

The negative slope means that the function is decreasing

step 2

Find the equation of the line

$y=mx+b$

we have

$m=-40\\b=160$

$y=-40x+160$

Part b) Based on the linear model, predict how far Josh is away from home when he starts?

we know that

The y-intercept is the value of y when the value of x is equal to zero

Looking at the graph

For x=0

y=160 miles

therefore

When Josh starts, he's 160 miles away from his house.

Part c) Approximately how fast is he traveling on his trip?

Remember that the speed is equal to divide the distance by the time

In this problem, the slope of the linear equation is the same that the speed

$40\ \frac{miles}{hour}$

6 0

3 years ago

Each multiple-choice question on an exam has four choices. Suppose that there are 10 questions and the choice is selected random

Anika [276]

Answer:

It is discrete, but not uniform, since each outcome is not equally as likely.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either it is answered correctly, or it is not. The probability of answered a question is independent from the probability of answeing other questions. So we use the binomial probability distribution 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.

Each multiple-choice question on an exam has four choices.

This means that $p = \frac{1}{4} = 0.25$

10 questions

This means that $n = 10$

Let X denote the number of questions answered correctly. Does X have a discrete uniform distribution? Why or why not?

It is discrete, because the number of questions answered correctly is a discrete value.

However, it is not uniform. A distribution is uniform when each outcome is equally as likely. For example, the probability of answering 0 questions correctly is different of the probability of answering 1 question correctly, as we see below.

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

$P(X = 0) = C_{10,0}.(0.25)^{0}.(0.75)^{10} = 0.0563$

$P(X = 1) = C_{10,1}.(0.25)^{1}.(0.75)^{9} = 0.1877$

3 0

2 years ago

Theos mom bought an eight pack of juice boxes at the store for $4. Find the unit rate for the juice boxes.PLZ HELP ME

Otrada [13]

I believe that you need to divide 4 by 8 to get $0.50 per juice box.

3 0

3 years ago