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3 years ago

Choose the graph of the solution to this inequality. –6x < 21

Mathematics

2 answers:

Nastasia [14]3 years ago

8 0

Answer: A

Step-by-step explanation:

c - 12 > -16

c > -4

Vika [28.1K]3 years ago

8 0

The answer is A.

c - 12 > -16

c > -16 + 12

c > -4

> means the the arrow should be pointed to the right, and should be on the point -4.

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Scientists collect data on the blood cholesterol levels (milligrams per deciliter of blood) of a random sample of 24 laboratory

Ludmilka [50]

Answer: (a) There is a clear outlier in the data.

Step-by-step explanation:

The statement relates that sample= 24

Confidence interval= 80.2 to 89.8.

Now the data does not mention anywhere the standard deviation which is an important parameter in using the t-procedure rather we assume that standard deviation is not known. So, the most worrying part is the skewness and the presence of strong outliers in the t-procedure.

So, the option a) is correct meaning a clear outlier in the data.

6 0

3 years ago

If f(x) = x ^ 2 is vertically compressed by a factor of 9 to g(x) , what is the equation of g(x) ?

Maslowich

Answer:

$g(x) = \frac{1}{9} \,x^2$ which agrees with option A in the list of possible answers

Step-by-step explanation:

A vertical compression by a factor 9 is represented by the transformation:

$\frac{1}{9} \,f(x) = \frac{1}{9} \,x^2$

Therefore the answer to the problem is:

$g(x) = \frac{1}{9} \,x^2$

6 0

3 years ago

If a building was placed at coordinates (-5,5), what would be the new coordinates if rotated 270° counterclockwise around the or

Brums [2.3K]

The rule for a 270° counterclockwise rotation is (x, y) ---> (y, -x).

So if you rotated (-5,5) 270° counterclockwise around the origin the new coordinates would be (-5,-5).

Hope this Helps!!

6 0

3 years ago

Read 2 more answers

Imagine an experiment having three conditions and 20 subjects within each condition. The mean and variances of each condition ar

xxTIMURxx [149]

Answer:

1. Mean square B= 5.32

2. Mean square E= 16.067

3. F= 0.33

4. p-value: 0.28

Step-by-step explanation:

Hello!

You have the information of 3 groups of people.

Group 1

n₁= 20

X[bar]₁= 3.2

S₁²= 14.3

Group 2

n₂= 20

X[bar]₂= 4.2

S₂²= 17.2

Group 3

n₃= 20

X[bar]₃= 7.6

S₃²= 16.7

1. To manually calculate the mean square between the groups you have to calculate the sum of square between conditions and divide it by the degrees of freedom.

Df B= k-1 = 3-1= 2

Sum Square B is:

∑ni(Ÿi - Ÿ..)²

Ÿi= sample mean of sample i ∀ i= 1,2,3

Ÿ..= general mean is the mean that results of all the groups together.

General mean:

Ÿ..= (Ÿ₁ + Ÿ₂ + Ÿ₃)/ 3 = (3.2+4.2+7.6)/3 = 5

Sum Square B (Ÿ₁ - Ÿ..)² + (Ÿ₂ - Ÿ..)² + (Ÿ₃ - Ÿ..)²= (3.2 - 5)² + (4.2 - 5)² + (7.6 - 5)²= 10.64

Mean square B= Sum Square B/Df B= 10.64/2= 5.32

2. The mean square error (MSE) is the estimation of the variance error (σ $_{e}^2$ → $S_{e} ^{2}$ ), you have to use the following formula: