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
ad-work [718]
3 years ago
8

Last winter Armand had 5/6 of a row of stacked logs. At the end of the winter he had 8/15 of the same row left how much wood did

he burn over the winter
Mathematics
2 answers:
RUDIKE [14]3 years ago
4 0

Answer:

\frac{3}{10}

Step-by-step explanation:

First we have to make the fractions even so there denominator have to be equal. So 15 times 2 gets 30 and 6 times 5 gets 30 too. Now multiply the numerator by the corresponding number of 25/30 and 16/30. Subtract to get 9/30 now simplify to get 3/10.

Ilia_Sergeevich [38]3 years ago
3 0

Answer:

<h3>Armand burnt \frac{3}{10} of wood over the winter.</h3>

Step-by-step explanation:

We know that Armand had in first place \frac{5}{6}.

Then, at the end of the winter, he had \frac{8}{15}.

To know how much wood he burnt, we just have to find the difference between these two quantities

\frac{5}{6}-\frac{8}{15}=\frac{75-48}{90}=\frac{27}{90}=\frac{3}{10}

Therefore, Armand burnt \frac{3}{10} of wood over the winter.

You might be interested in
We would like to create a confidence interval.
Vlada [557]

Answer:

c.A 90% confidence level and a sample size of 300 subjects.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level 1-\alpha, we have the confidence interval with a margin of error of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

In this problem

The proportions are the same for all the options, so we are going to write our margins of error as functions of \sqrt{\pi(1-\pi)}

So

a.A 99% confidence level and a sample size of 50 subjects.

n = 50

99% confidence interval

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The margin of error is

M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{2.575}{\sqrt{50}}\sqrt{\pi(1-\pi)} = 0.3642\sqrt{\pi(1-\pi)}

b.A 90% confidence level and a sample size of 50 subjects.

n = 50

90% confidence interval

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The margin of error is

M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{1.645}{\sqrt{50}}\sqrt{\pi(1-\pi)} = 0.2623\sqrt{\pi(1-\pi)}

c.A 90% confidence level and a sample size of 300 subjects.

n = 300

90% confidence interval

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The margin of error is

M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{1.645}{\sqrt{300}}\sqrt{\pi(1-\pi)} = 0.0950\sqrt{\pi(1-\pi)}

This produces smallest margin of error.

d.A 99% confidence level and a sample size of 300 subjects.

n = 300

99% confidence interval

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The margin of error is

M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{2.575}{\sqrt{300}}\sqrt{\pi(1-\pi)} = 0.1487\sqrt{\pi(1-\pi)}

6 0
3 years ago
Brad swims 4 laps every 6min how long does it take him to swim 14 laps?
Nadya [2.5K]
I don’t know the answer
5 0
3 years ago
Y and x have a proportional relationship, and y = 15 when x = 3. What is the value of x when y = 4?
Ksju [112]
In a proportional relationship, x and y will increase at the same rate. In order to find the value of x when y=4, we first have to find the ratio of x:y. We can do this by creating a fraction. After we know the ratio, simply replace the y value with 4 and solve for x. Here's the math:

y=15 when x=3       given values

y/x = 15/3 = 5          ratio of y to x

y=5x                        equation representing the proportional relationship 

4=5x                        replace y with 4

4/5=x                       divide both sides by 5 to isolate x

Answer: The value of x=4/5 when y=4.

Hope this helps!


6 0
3 years ago
1. Select all the triangles that can be rotated to match up with Triangle 1. Triangle 1 A B D C С​
emmasim [6.3K]

Answer:it should be B and D

Step-by-step explanation:

B could be rotated clockwise and D could be rotated clockwise as well.

8 0
3 years ago
Mrs. Clever rolls a number cube once.
Zinaida [17]

Answer:

I think it would be 1 out of 6 or B.

Step-by-step explanation:

I think so because there are 6 sides to a cube and if Mrs.Clever only rolls it once then it would be 1 out of 6.

4 0
3 years ago
Other questions:
  • Factor completely x³ - 7x² + 2x + 40 given x = -2 is a root.
    10·1 answer
  • he √ symbol is called the ___________________. The number or expression beneath the √ symbol is called the ___________________.
    12·1 answer
  • 22. Which of the following is recommended as a way to prevent vehicle backover deaths?
    15·1 answer
  • Which graph represents the solution set of y= x^2 - 4 and x + y + 2 = 0?
    5·2 answers
  • What is the first step in the construction of a perpendicular line from point p to line m
    15·1 answer
  • What is the quotient of 4536 and 36?
    5·2 answers
  • What is the length of the unknown side of this triangle?
    13·2 answers
  • A friend lends you $360 which you agree to repay with 3% interest. How much will you have to repay?
    8·1 answer
  • How Did Dregg Do On His Antarctica Test? Answers
    8·1 answer
  • The area of the parallelogram below is ____ square meters. A parallelogram with height labeled with 7 meters. The top horizontal
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!