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3 years ago

Which expressions are equivalent to 7b(3+c) ?

Mathematics

2 answers:

TEA [102]3 years ago

5 0

Answer:

21b+7bc

(7b⋅3)+(7b⋅c)

Step-by-step explanation:

7b(3+c)

distribute

7b* 3 + 7b *c

21b + 7bc

Alex777 [14]3 years ago

4 0

Answer:

The correct answer is B- 21b+7bc

Step-by-step explanation:

7b(3+c)

(7b)(3+c)

(7b)(3)+(7b)(c)

21b+7bc

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The average age of all students at a certain college is 22 years and the standard deviation is 2 years. What is the probability

Marianna [84]

Answer:

The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159

Step-by-step explanation:

According to the given data we have the following:

mean = μ= 22

standard deviation = σ = 2

n = 100

μx = 22

σx=σ/√n=2/√100=0.2

Therefore, P( x < 21.8)=P(x-μx)/σx<(21.8-22)/0.2

=P(z<-1)

= 0.159

The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159

3 0

3 years ago

(7t-2)-(-3t+1)=-3(1-3t)

Aleksandr-060686 [28]

First you need to multiple minus in second bracket, also in other side you need to multiple - 3 in bracket

$7t - 2 + 3t - 1 = - 3 + 9t \\ \\ 10t - 3 = - 3 + 9t \\ 10t - 9t = - 3 + 3 \\ t = 0$
Final answer is 0

5 0

3 years ago

What is an example of when you would want consistent data and, therefore, a small standard deviation?

steposvetlana [31]

Answer:

12.1, 12.3,12.4,12.5,12.3,12.1,12.2

$\bar X= \frac{12.1+12.3+12.4+12.5+12.3+12.1+12.2}{7}=12.271$

And for the standard deviation we can use the following formula:

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

And after replace we got:

$s = 0.1496$

And as we can ee we got a small value for the deviation <1 on this case.

Step-by-step explanation:

For example if we have the following data:

12.1, 12.3,12.4,12.5,12.3,12.1,12.2

We see that the data are similar for all the observations so we would expect a small standard deviation

If we calculate the sample mean we can use the following formula:

$\bar X=\frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X= \frac{12.1+12.3+12.4+12.5+12.3+12.1+12.2}{7}=12.271$

And for the standard deviation we can use the following formula:

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

And after replace we got:

$s = 0.1496$

And as we can ee we got a small value for the deviation <1 on this case.

8 0

3 years ago

Ann runs a day care center. Of the last 18 children to enroll at the day care center, 8 of them have been elementary school stud

mrs_skeptik [129]

4 children i think. since you’re halving 18 you will half the 8 as well

4 0

3 years ago

Plz help, unit test will give brainliests

Jet001 [13]

Answer:

The transformation is a rotation.

Step-by-step explanation:

Each point of triangle DEF is rotated to form $\triangle D'E'F'$ .

8 0

3 years ago