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Mathematics

1 answer:

marta [7]3 years ago

5 0

If m is the midpoint between x=a and x=b, then you have

... (a+b)/2 = m

... a+b = 2m

... b = 2m - a

For the case where a=1 and m=6, we find the reflected coordinate to be

... 2·6 - 1 = 11

Now, we want to reflect about the line x=4, so a=11 and m=4. The second reflection results in an x-coordinate of

... 2·4 - 11 = -3

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State whether each of the following changes would make a confidence interval wider or narrower. (Assume that nothing else chan

Hatshy [7]

Answer:

Step-by-step explanation:

The formula for determining confidence interval is expressed as

Confidence interval

= mean ± z × s/ √n

Where

z is the value of the z score

s = standard deviation

n = sample size

a) The 95% confidence level has a z value of 1.96

The 99% confidence level has a z value of 2.58

Since 99% confidence level z value is greater than 95% confidence level z value, if we input it into the formula, it will result to a higher confidence interval. So changing from a 95% confidence level to a 99% confidence level would make a confidence interval wider.

b) The √15 is smaller than the √350. This means that if we make use of the formula, √350 will give a lower confidence interval than that of √15. Therefore, the confidence interval would be narrower changing from a sample size of 15 to a sample size of 350.

c) Applying the formula, a standard deviation of 15 pounds would result to a lower confidence interval than a standard deviation of 20 pounds. Therefore, the confidence interval would be wider changing from a standard deviation of 15 pounds to a standard deviation of 20 pounds.

3 0

3 years ago

Write and solve an equation to find the number n.

garik1379 [7]

The unknown number is n. So n is the unknown variable in the equation.
In order to write an equation in which n is included we must know some dependence of n with other values.
We know that <span>the difference of three times a number and 44 is −19. So, we can write:
3*n-44=-19
3*n=-19+44
3*n=25
n=25/3

</span>

5 0

3 years ago

What is the product?

Olenka [21]

The value of the product expression (-2x-9y²)(-4x-3) is 8x² + 6x + 27y² + 36xy²

<h3>How to evaluate the product?</h3>

The expression is given as:

(-2x-9y²)(-4x-3)

Expand the expression

8x² + 6x + 27y² + 36xy²

Hence, the value of the product expression (-2x-9y²)(-4x-3) is 8x² + 6x + 27y² + 36xy²