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
ludmilkaskok [199]
3 years ago
5

Lin solved the equation 8(x-3)+7=2x(4-17) incorrectly. Find the errors in her solution. What should her answer have been?

Mathematics
1 answer:
Irina-Kira [14]3 years ago
4 0

Answer: The correr solution is x=\frac{17}{34}

Step-by-step explanation:

Since the steps in Lin's solution are not shown, we are not able to find her erros. However, we can solve it step by step and find the correct result:

8(x-3)+7=2x(4-17)

Firstly, in the left part of the equation we have to multiply 8 by the numbers inside the parenthesis; and in the right side we have to solve first what is inside the parenthesis:

8x-24+7=2x(-13)

Adding similar terms in the left side and multiplying 2x by the number inside the parenthesis in the right side:

8x-17=-26 x

Isolating x:

x=\frac{17}{34} This is the correct solution

You might be interested in
How do u graph x=68 in an inequality
worty [1.4K]
You use x ≤ 68 or x ≥68
7 0
3 years ago
According to the Knot, 22% of couples meet online. Assume the sampling distribution of p follows a normal distribution and answe
Ann [662]

Using the <em>normal distribution and the central limit theorem</em>, we have that:

a) The sampling distribution is approximately normal, with mean 0.22 and standard error 0.0338.

b) There is a 0.1867 = 18.67% probability that in a random sample of 150 couples more than 25% met online.

c) There is a 0.2584 = 25.84% probability that in a random sample of 150 couples between 15% and 20% met online.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
  • By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1 - p)}{n}}, as long as np \geq 10 and n(1 - p) \geq 10.

In this problem:

  • 22% of couples meet online, hence p = 0.22.
  • A sample of 150 couples is taken, hence n = 150.

Item a:

The mean and the standard error are given by:

\mu = p = 0.22

s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.22(0.78)}{150}} = 0.0338

The sampling distribution is approximately normal, with mean 0.22 and standard error 0.0338.

Item b:

The probability is <u>one subtracted by the p-value of Z when X = 0.25</u>, hence:

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem:

Z = \frac{X - \mu}{s}

Z = \frac{0.25 - 0.22}{0.0338}

Z = 0.89

Z = 0.89 has a p-value of 0.8133.

1 - 0.8133 = 0.1867.

There is a 0.1867 = 18.67% probability that in a random sample of 150 couples more than 25% met online.

Item c:

The probability is the <u>p-value of Z when X = 0.2 subtracted by the p-value of Z when X = 0.15</u>, hence:

X = 0.2:

Z = \frac{X - \mu}{s}

Z = \frac{0.2 - 0.22}{0.0338}

Z = -0.59

Z = -0.59 has a p-value of 0.2776.

X = 0.15:

Z = \frac{X - \mu}{s}

Z = \frac{0.15 - 0.22}{0.0338}

Z = -2.07

Z = -2.07 has a p-value of 0.0192.

0.2776 - 0.0192 = 0.2584.

There is a 0.2584 = 25.84% probability that in a random sample of 150 couples between 15% and 20% met online.

To learn more about the <em>normal distribution and the central limit theorem</em>, you can check brainly.com/question/24663213

4 0
2 years ago
What is the mean for this list of numbers? 17, 19, 21, 23
Svetlanka [38]

Answer:

The mean is 20

Step-by-step explanation:

17+19+21+23=80

80 div 4 = 20

7 0
3 years ago
Read 2 more answers
Which expressions are less than 610
Lady bird [3.3K]

Answer:

Step-by-step explanation:

7 0
3 years ago
1. What is the minimum value of y in the graph below<br> y
nexus9112 [7]

Answer:

-1

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • IM TAKING AN EXAM HELPPPP!!!!
    14·1 answer
  • If you multiply a binomial by a binomial how many terms are in the product before combining like terms?
    12·1 answer
  • Use the information given to write an equation in standard form.
    6·1 answer
  • What is the vertical asymptote for the reciprocal of y=8x-4
    15·1 answer
  • Using the EXCLUSIVE definition of a trapezoid, select the TRUE statement about trapezoids.
    8·1 answer
  • Helloo! I really need help on this!
    9·2 answers
  • Pls help, thank you
    9·2 answers
  • Find the slope of the line graphed <br><br><br>A) -4/5 <br>B)- 5/4<br>C) 4/5<br>D) 5/4​
    7·1 answer
  • Emergency please help I have been trying to solve this all day I am stûpid
    9·1 answer
  • In a game of cornhole, Sasha tossed a bean bag and it landed at the edge of the hole. The hole can be represented by the equatio
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!