1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ANEK [815]
3 years ago
6

Eric runs 3 miles in 28 minutes. at the same rate how many miles would he run in 42 minutes?

Mathematics
1 answer:
Nastasia [14]3 years ago
7 0
3miles/ 28 minutes times 42 minutes is equal to 4.5 miles.

Therefore, Eric run 4.5 miles in 42 minutes.

Hopefully this helps!
You might be interested in
Find the equation of the line that passes through (-1,3) and is perpendicular to 2y=x−1. Leave your answer in the form y=mx +c A
Lostsunrise [7]

Answer:

y = -2x + 1.

Step-by-step explanation:

2y = x - 1

y = 1/2y - 1/2

If line X is perpendicular to line Y (the line where y = 1/2y - 1/2), the slope will be the negative reciprocal of line Y. That means that there will be a negative sign instead of positive, and the 1/2 will be flipped to become 2/1, which is 2.

So, the slope will be -2.

We now have y = -2x + c.

To find c, simply put in -1 for x and 3 for y.

3 = -2 * -1 + c

c + 2 * 1 = 3

c + 2 = 3

c = 1

So, the equation of the line is y = -2x + 1.

Hope this helps!

8 0
3 years ago
Read 2 more answers
The following table represents the highest educational attainment of all adult residents in a certain town. If a resident who is
Finger [1]

Using it's concept, it is found that there is a 0.183 = 18.3% probability that the person has completed a bachelor's degree and no more.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

Researching this problem on the internet, it is found that 529 + 1054 = 1583 out of 1911 + 6730 = 8641 people aged 40 or older have completed a bachelor's degree and no more, hence the probability is given by:

p = 1583/8641 = 0.183.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

5 0
2 years ago
Which of the following is INCORRECT? *
DedPeter [7]

this option is incorrect

A straight angle is one full revolution.

Step-by-step explanation:

Straight angle = 180°

Angle take 360° in one revolution

6 0
2 years ago
Q 4.19: To verify whether there are negative consequences of taking a new type of medicine, 3000 tests were conducted. Assume th
tiny-mole [99]

Answer:

The p-value obtained is less than the significance level at which the test was performed at, hence, we reject the null hypothesis, accept the alternative hypothesis & say that there is enough evidence to conclude that the the new medicine is potentially harmful.

Step-by-step explanation:

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

For this question, the null hypothesis is that the new medicine has no negative effects and the alternative hypothesis is that the new medicine is potentially harmful

Mathematically,

The null hypothesis is represented as

H₀: p = 0

The alternative hypothesis is represented as

Hₐ: p > 0

To do this test, we will use the z-distribution because although no information on the population standard deviation is known, the sample size is large enough.

So, we compute the test statistic

z = (x - μ)/σₓ

x = sample proportion = (31/3000) = 0.0103

μ = p₀ = 0

σₓ = standard error = √[p(1-p)/n]

where n = Sample size = 3000

σₓ = √[0.0103×0.9897/3000] = 0.0018462936 = 0.0018463

z = (0.0103 - 0) ÷ 0.0018463

z = 5.60

checking the tables for the p-value of this test statistic

Significance level = 1% = 0.01

The hypothesis test uses a one-tailed condition because we're testing only in one direction.

p-value (for z = 5.60, at 0.01 significance level, with a one tailed condition) = < 0.00001

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.01

p-value = < 0.00001

p-value < 0.00001 < 0.10

Hence,

p-value < significance level

This means that we reject the null hypothesis, accept the alternative hypothesis & say that there is enough evidence to conclude that the the new medicine is potentially harmful.

Hope this Helps!!!

6 0
3 years ago
How to solve this problem
Agata [3.3K]
So first, you have to get two of the same variables to cancel out. Let's do this for x. In order for the x's to cancel out, we could multiply the bottom problem by 2.
(2) 3x-6y=24
After multiplying all the numbers by 2, you get the equation 6x-12y=48
The set of equations is now
-6x+2y=12
6x-12y=48
Now you can add them. The x variables cancel out, so you are left with the y variable.
2y+-12y=-10y and 12+48=60
Then you would divide 60 by -10 to get y=-6.
You would plug the answer for y into one of the original equations, lets do the top one. -6x+2y=12 becomes -6x+2(-6)=12
You'd multiply the 2 and -6 to get -12 so the equation is
-6x-12=12
The negative 12 turn positive and you add to both sides to get the -6x alone.
-6x-12=12
+12=12
-6x=24
Then divide 24 by -6
X=4

(-4,-6) is your final answer.
7 0
2 years ago
Other questions:
  • after selling some old books and toys Gwen and her brother max had 5 dollar bill and 6 quarters and 8 dimes what is the total am
    12·2 answers
  • The table shows how much a store charges for certain numbers of pencils.
    7·1 answer
  • the volume of a cylinder is 600 pi in3. The height of the cylinder is 6in. I have to calculate the radius of the cylinder
    14·1 answer
  • Deshaun needs to memorize words on a vocabulary list for Russian class. He has memorized 6 of the words, which is two-thirds of
    5·1 answer
  • What equation is this graphed figure
    13·1 answer
  • A normally distributed error term with mean of zero would Group of answer choices have values that are symmetric about the varia
    14·1 answer
  • . A line that is tangent to a circle will always intersect the radius at what kind of angle?
    7·1 answer
  • A roller coaster can load 60 passengers every 5 minutes. Complete the double number line to show how many people can be uploaded
    14·2 answers
  • It costs $15 to attend a golf clinic with a local pro. Buckets of balls for practice during the clinic cost $4 each. How many bu
    10·1 answer
  • Wha is the value of x(3) + y(3) when<br> 3 and y = 4?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!