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Mila [183]
2 years ago
11

Combine like terms to create an equivalent expression

Mathematics
1 answer:
klasskru [66]2 years ago
7 0

Answer:

1/6a-1/6

Step-by-step explanation:

-2/3 transferred into 6th's is -4/6. You combine like terms, -4/6a+5/6a=1/6a

Then since -1/6 doesn't have a like term, it stays the same.

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A Survey of 85 company employees shows that the mean length of the Christmas vacation was 4.5 days, with a standard deviation of
GenaCL600 [577]

Answer:

The 95% confidence interval for the population's mean length of vacation, in days, is (4.24, 4.76).

The 92% confidence interval for the population's mean length of vacation, in days, is (4.27, 4.73).

Step-by-step explanation:

We have the standard deviations for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 85 - 1 = 84

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 84 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 1.989.

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.989\frac{1.2}{\sqrt{85}} = 0.26

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 4.5 - 0.26 = 4.24 days

The upper end of the interval is the sample mean added to M. So it is 4.5 + 0.26 = 4.76 days

The 95% confidence interval for the population's mean length of vacation, in days, is (4.24, 4.76).

92% confidence interval:

Following the sample logic, the critical value is 1.772. So

M = T\frac{s}{\sqrt{n}} = 1.772\frac{1.2}{\sqrt{85}} = 0.23

The lower end of the interval is the sample mean subtracted by M. So it is 4.5 - 0.23 = 4.27 days

The upper end of the interval is the sample mean added to M. So it is 4.5 + 0.23 = 4.73 days

The 92% confidence interval for the population's mean length of vacation, in days, is (4.27, 4.73).

8 0
3 years ago
The table shows four numbers. -34<br>-0.4 0.4 ​
kvv77 [185]

Answer:

What do you have to do with the numbers

3 0
3 years ago
A line has a slope of $-\frac{3}{7},$ and its $y$-intercept is $(0,18)$. What is its $x$-intercept?
puteri [66]

Answer:

(42, 0)

Step-by-step explanation:

Since we know the slope and y-intercept we can write the equation of the line in slope-intercept form which is y = mx + b; therefore, the equation is y = -3/7x + 18. To find the x-intercept, we just plug in y = 0 which becomes:

0 = -3/7x + 18

-18 = -3/7x

x = 42

8 0
2 years ago
Read 2 more answers
What is 3/4÷1/2?<br> 2/3<br> 1 1/4<br> 1 1/2<br> 3
lapo4ka [179]

Answer:what is 3/4÷1/2?

3/2 also know as 1 1/2

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Write the following expression using an exponent:<br><br> 5⋅5⋅5⋅5
Vesna [10]

Answer:

5^4

Step-by-step explanation:

i hope this helps :)

8 0
2 years ago
Read 2 more answers
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