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Natasha2012 [34]
3 years ago
12

Which expression is equivalent to3 (1 + x)+7

Mathematics
1 answer:
ivann1987 [24]3 years ago
6 0

Expressions equivalent to 3(1+x)+7 is x+10

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A sports news station wanted to know whether people who live in the North or the South are bigger sports fans. For its study, 17
Free_Kalibri [48]

Using the z-distribution, it is found that the 95% confidence interval for the difference is (-1.3, -0.7).

<h3>What are the mean and the standard error for each sample?</h3>

Considering the data given:

\mu_S = 3.8, n = 175, s_S = \frac{1.7}{\sqrt{175}} = 0.1285

\mu_N = 4.8, n = 152, s_N = \frac{1.2}{\sqrt{152}} = 0.0973

<h3>What is the mean and the standard error for the distribution of differences?</h3>

The mean is the subtraction of the means, hence:

\overline{x} = \mu_S - \mu_N = 3.8 - 4.8 = -1

The standard error is the square root of the sum of the variances of each sample, hence:

s = \sqrt{s_S^2 + s_N^2} = \sqrt{0.1285^2 + 0.0973^2} = 0.1612

<h3>What is the confidence interval?</h3>

It is given by:

\overline{x} \pm zs

We have a 95% confidence interval, hence the critical value is of z = 1.96.

Then, the bounds of the interval are given as follows:

  • \overline{x} - zs = -1 - 1.96(0.1612) = -1.3
  • \overline{x} + zs = -1 + 1.96(0.1612) = -0.7

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

4 0
2 years ago
Dion is playing the game tag with his friend bill they have played the games every day during play time at school for the last 4
Margarita [4]
You would subtract how many times Dion tagged bill with how many times bill tagged Dion, so 12 - 7 = 5
7 0
3 years ago
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(x+3)^2+5=-28
Sidana [21]

Answer:

Description

Step-by-step explanation:

a. 2 solutions

b. 2 imaginary solutions

c. If the discriminant is positive, then it will have 2 real solutions as the square root of a positive number always equals a positive number. If the discriminant is negative, the quadratic equation will have 2 imaginary solutions, as the square root of a negative number is always imaginary. If the discriminant equals 0, it will have only 1 real solution.

3 0
3 years ago
If a section of a circle graph needs to represent 15%, then its angle measure will be a0 degrees.
mash [69]
We know that
<span>Since a circle is 360 degrees,
then
360</span>°-----------> 100%
<span>x </span>°----------> <span>15% 
</span>x=15*360/100-----> x=54°

the answer is
54 degrees
5 0
3 years ago
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The city of Houston received 8 more inches of rain than the town of Groesbeck. Which algebraic expression represents the amount
Ivahew [28]

Answer:

8-i=g

Step-by-step explanation:

g= amount of rain Groesbeck gout

i = inches of rain

8 0
2 years ago
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