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Westkost [7]
3 years ago
13

What is the vertex of the graph of f(x) = |x + 3| + 7? (3, 7) (7, 3) (–3, 7) (7, –3)

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
7 0

Answer:

(-3,7)

Step-by-step explanation:

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Write V – 250 in simplest radical form.
BartSMP [9]

Answer:

5i√10

Step-by-step explanation:

hope this answers your question

:)

3 0
3 years ago
Read 2 more answers
A ship leaves port at​ 1:00 pm and travels Upper N 70 degrees Upper WN70°W at the rate of 10 mph. Another ship leaves the same p
Leni [432]

Answer:

30.4 miles

Step-by-step explanations:

Please refer to the attached image for explanations

7 0
3 years ago
A random sample of 85 sixth-graders in a large city take a course designed to improve scores on a reading comprehension test. Ba
BartSMP [9]

Answer:

12.6 < \mu < 14.8

For this case we can find the margin of error like this:

ME= \frac{14.8-12.6}{2}= 1.1

Since we need to divide the width of the interval by 2.

And now with the margin of error we can find the sample mean with any of the two following ways:

12.6 +1.1=13.7

14.8-1.1=13.7

So for this case the correct answer would be:

A. Sample Mean = 13.7; Margin of Error = 1.1

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

Solution to the problem

The confidence interval for the mean is given by the following formula:  

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}} (1)  

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:  

df=n-1=85-1=84

We know that the confidence interval is given by:

12.6 < \mu < 14.8

For this case we can find the margin of error like this:

ME= \frac{14.8-12.6}{2}= 1.1

Since we need to divide the width of the interval by 2.

And now with the margin of error we can find the sample mean with any of the two following ways:

12.6 +1.1=13.7

14.8-1.1=13.7

So for this case the correct answer would be:

A. Sample Mean = 13.7; Margin of Error = 1.1

3 0
3 years ago
A stray dog ate 10 of your muffins. That was 5/6 of all of them! How many are left?​
Finger [1]

Answer:

12

Step-by-step explanation:

you first make an equation of 5/6x = 10, then divide 5/6 on both sides to get x = 12

4 0
3 years ago
Solve for x: (2/5)(x-4)=2x​
NARA [144]

Simplify brackets

2/5(x - 4) = 2x

Simplify 2/5(x - 4) to 2(x - 4)/5

2(x - 4)/5 = 2x

Multiply both sides by 5

2(x - 4) = 10x

Divide both sides by 2

x - 4 = 5x

Subtract x from both sides

-4 = 5x - x

Simplify 5x - x to 4x

-4 = 4x

Divide both sides by 4

-1 = x

Switch sides

<u>x = -1</u>

8 0
3 years ago
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