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2 years ago

Idk how to do this without an image honestly

Mathematics

1 answer:

Art [367]2 years ago

6 0

9514 1404 393

Answer:

(x, y) ⇒ (x -m, y -n)

Step-by-step explanation:

Reverse the arrow and solve for the x and y on the left:

(x +m, y +n) ⇒ (x, y)

This resolves to two relations:

x + m ⇒ x

x ⇒ x - m . . . . . subtract m

and

y + n ⇒ y

y ⇒ y - n . . . . . . subtract n

Putting these back together, we have ...

(x, y) ⇒ (x -m, y -n) . . . . . maps P'Q' to PQ

_____

The original translation was right m and up n. The reverse translation is left m and down n. That is what the rule shows.

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120/50
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2 years ago

What is greater 66mm or 6cm

LuckyWell [14K]

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3 years ago

A simple random sample from a population with a normal distribution of 98 body temperatures has x =98.90 °F and s =0.68°F. Const

Ludmilka [50]

Answer:

$0.609 \leq \sigma \leq 0.772$

And the best conclusion would be:

D. This conclusion is safe because 1.40 °F is outside the confidence interval.

Step-by-step explanation:

1) Data given and notation

s=0.68 represent the sample standard deviation

$\bar x =98.90$ represent the sample mean

n=98 the sample size

Confidence=90% or 0.90

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 mean or variance 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.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=98-1=97$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical values.