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3 years ago

8

The coordinates of point A on a grid are (5, −3). Point A is reflected across the x-axis to obtain point B. The coordinates of p

oint B are (5, ? )

1 answer:

ASHA 777 [7]3 years ago

4 0

Answer: (5,3)

Step-by-step explanation:

the formula used for a reflection across the x-axis is (x,-y)

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A statistics practitioner determined that the mean and standard deviation of a data set were 120 and 30, is respectively. What c

BartSMP [9]

Answer:

a) 68% of the observations lie between 90 and 150.

b) 95% of the observations lie between 60 and 180.

c) 99.7% of the observations lie between 30 and 210.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Standard deviation = 120

Mean = 30

a. 90 and 150

This is within 1 standard deviation of the mean.

By the Empirical Rule, 68% of the observations lie between 90 and 150.

b. 60 and 180

This is within 2 standard deviations of the mean.

By the Empirical Rule, 95% of the observations lie between 60 and 180.

c. 30 and 210

This is within 3 standard deviations of the mean.

By the Empirical Rule, 99.7% of the observations lie between 30 and 210.

4 0

3 years ago

A. 76°<br><br> B. 72°<br><br> C. 70°<br><br> D. 12°

Crank

Answer:measurement of angle B is

$70 \: \: degrees$

<h3>Answer C is correct</h3>

Step-by-step explanation:

$6x - 2 + 5x + 18 + 2x + 8 = 180 \\ 13x + 24 = 180 \\ 13x = 180 - 24 \\ 13x = 156 \\ \frac{13x}{13} = \frac{156}{13} \\ x = 12 \: \: degrees$

7 0

3 years ago

One serving of punch is 250 ml.will ten servings fit in a 2 liter bowl

Oliga [24]

First, we should find how many total milliliters we have by multiplying 250 mL by 10 servings to get 2500 mL. Then, we can convert 2500 mL to liters because 1000 mL equals 1 liters (2500/1000=2.5 L). Then since the bowl can only have 2 liters of punch, then 10 servings will not fit.

Hope this helps

5 0

2 years ago

Calculating the degrees of freedom, the sample variance, and the estimated standard error for evaluations using the t statistic

Yuliya22 [10]

Answer:

a) For the first part we have a sample of n =10 and we want to find the degrees of freedom, and we can use the following formula:

$df = n-1= 10-1=9$

d.9

b) $s^2 = \frac{SS}{n-1}= \frac{600}{41-1}= 15$

a.15

c) For this case we have the sample size n = 25 and the sample variance is $s^2 =400$ , the standard error can founded with this formula:

$SE = \frac{s^2}{\sqrt{n}}= \frac{400}{\sqrt{25}}= 80$

Step-by-step explanation:

Part a

For the first part we have a sample of n =10 and we want to find the degrees of freedom, and we can use the following formula:

$df = n-1= 10-1=9$

d.9

Part b

From a sample we know that n=41 and SS= 600, where SS represent the sum of quares given by:

$SS = \sum_{i=1}^n (X_i -\bar X)^2$

And the sample variance for this case can be calculated from this formula:

$s^2 = \frac{SS}{n-1}= \frac{600}{41-1}= 15$

a.15

Part c

For this case we have the sample size n = 25 and the sample variance is $s^2 =400$ , the standard error can founded with this formula:

$SE = \frac{s^2}{\sqrt{n}}= \frac{400}{\sqrt{25}}= 80$

8 0

3 years ago

Keith weighs 20 kg more than Beth,while henry weighs 30kg less than twice as much as Beth. If Keith and Henry weigh the same, ho

dybincka [34]

Answer:

50kg

Step-by-step explanation:

K = Keith B = Beth H = Henry

K = 20 + B

H = 2B - 30

K = H

20 + B = 2B - 30

B = 50kg

3 0

3 years ago

Read 2 more answers