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nasty-shy [4]
4 years ago
10

Which inequality is graphed on the number line shown?

Mathematics
1 answer:
bearhunter [10]4 years ago
4 0
The graph is to the left of -3, so it's < or ≤.
The circle is filled in so -3 also satisfies the inequality, so it's ≤.
The answer is B. x≤-3.
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What is the least common multiple of 6 and 8?
nadya68 [22]
Find the multiples of each number
6: 2, 3
8: 2,2,2
-----------------------------
So the LCM would be 2,2,2, and 3
2x2x2x3=24 

Hope that helps!
7 0
3 years ago
Read 2 more answers
A random sample of 21 observations is used to estimate the population mean. The sample mean and the sample standard deviation ar
stepladder [879]

Answer:

a. CI=[128.79,146.41]

b. CI=[122.81,152.39]

c. As the confidence level increases, the interval becomes wider.

Step-by-step explanation:

a. -Given the sample mean is 137.6 and the standard deviation is 20.60.

-The confidence intervals can be constructed using the formula;

\bar X\pm \ z\frac{s}{\sqrt{n}},

where:

  • s is the sample standard deviation
  • z is the s value of the desired confidence interval

we then calculate our confidence interval as:

\bar X\pm z\frac{s}{\sqrt{n}}\\\\=137.60\pm z_{0.05/2}\times\frac{20.60}{\sqrt{21}}\\\\=137.60\pm1.960\times \frac{20.60}{\sqrt{21}}\\\\=137.60\pm8.8108\\\\\\=[128.789,146.411]

Hence, the 95% confidence interval is between 128.79 and 146.41

b. -Given the sample mean is 137.6 and the standard deviation is 20.60.

-The confidence intervals can be constructed using the formula in a above;

\bar X\pm z\frac{s}{\sqrt{n}}\\\\=137.60\pm z_{0.01/2}\times\frac{20.60}{\sqrt{21}}\\\\=137.60\pm3.291\times \frac{20.60}{\sqrt{21}}\\\\=137.60\pm 14.7940\\\\\\=[122.806,152.394]

Hence, the variable's 99% confidence interval is between 122.81 and 152.39

c. -Increasing the confidence has an increasing effect on the margin of error.

-Since, the sample size is particularly small, a wider confidence interval is necessary to increase the margin of error.

-The 99% Confidence interval is the most appropriate to use in such a case.

7 0
4 years ago
1 6<br> 2 7<br><br> Find the sum of <br> -1/2+6/7
erastovalidia [21]

Step-by-step explanation:

-1/2+6/7

Take LCM

-7+12/14

5/14 Answer

6 0
3 years ago
Read 2 more answers
ANSWER PLZ QUICK AND FAST WHAT
ArbitrLikvidat [17]

Let's simplify step-by-step.

3b+5b2−3b−4b2

=3b+5b2+−3b+−4b2

Combine Like Terms:

=3b+5b2+−3b+−4b2

=(5b2+−4b2)+(3b+−3b)

=b2

7 0
4 years ago
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Given x || y.
Ostrovityanka [42]
Angles 5 and 1 are corresponding angles because the line intersects two parallel lines
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