Which situation representd 24÷6

Find the product: − 3/5 (− 14/9 )

zlopas [31]

Answer:

=14/15

Step-by-step explanation:

distributive property: a(b+c)=ab+ac

product it's must be multiply the numbers, fractions, factors, and multiples.

3/5*14/9

you can also cross out the common factor of 3.

1/5*14/3

multiply the fractions.

1*14/5*3

1*14=14

14/5*3

5*3=15

=14/15

Hope this helps!

Thanks!

5 0

3 years ago

Solve equation 2(4b-6)=4(3b-7)

iren [92.7K]

Answer:

2(4b - 6) = 4(3b - 7)

This is

8b - 12 = 12b - 28

Now,

16 = 4b

This means that b = 4 :)

5 0

3 years ago

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Select all of the true statements about the standard deviation of a quantitative variable. 1. Standard deviation is resistive to

andrezito [222]

Answer:

Considering the first statement

Standard deviation is resistive to unusual values

This statement is false because standard deviation is the numeric measure of deviation of the each observation from the mean

Considering the second statement

The standard deviation of a set of values is equal to 0 if and only if all of the values are the same.

This statement is true because standard deviation is the numeric measure of deviation of the each observation from the mean.

Considering the third statement

Standard deviation is never negative.

This statement is true because standard deviation is the numeric measure of deviation of the each observation from the mean.

Considering the fourth statement

Changing the units of a set of values (e.g., converting from inches to feet) does not affect its standard deviation

This statement is false because standard deviation is the numeric measure of deviation of the each observation from the mean

Considering the fifth statement

If a set of values has a mean of 0 and a standard deviation that is not 0, then adding a new data point with a value of 0 will have no effect on the standard deviation.

This statement is false because , let take an example

x -4 - 3 0 3 4

Generally the mean is mathematically evaluated as

$\= x = \frac{\sum x_i }{n}$

=> $\= x = \frac{-4+ (- 3)+ 0 + 3 + 4 }{5}$

=> $\= x = 0$

Generally the standard deviation is mathematically evaluated as

$\sigma = \sqrt{\frac{\sum (x_ i - \= x )^2}{y} }$

$\sigma = \sqrt{\frac{ (-4 - 0 )^2 + (- 3 - 0 )^2 + (0 - 0 )^2 + (3 - 0)^2 + (4 - 0 )^2}{5} }$

=> $\sigma = 3.16$

Now when zero is removed the standard deviation is

$\sigma_1 = \sqrt{\frac{ (-4 - 0 )^2 + (- 3 - 0 )^2 + (3 - 0)^2 + (4 - 0 )^2}{4} }$

=> $\sigma_1 = 3.54$

Since $\sigma \ne \sigma _1$ the above statement is false

Considering the sixth statement

Standard deviation represents how far a group of values are from the mean of those values, on average.

This statement is true because standard deviation is the numeric measure of deviation of the each observation from the mean.

Step-by-step explanation:

5 0

3 years ago

Use completing the square to rewrite the given function in vertex form. Determine whether the vertex is a maximum or minimum

Natalka [10]

Answer:

Step-by-step explanation:

The equation as written doesn’t work. Are you sure it is y = x² + 4x - 10, and not

y = -x² + 4x - 10 ?

y = -(x² - 4x) - 10

y = -(x² - 4x + 2²) + 2² - 10

y = -(x-2)² - 6

the vertex is a maximum at (2,-6)

3 0

3 years ago

Whats the point of square roots

sineoko [7]

The point of square roots is to help you with measurement

6 0

4 years ago

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