All categories

2 years ago

9.

Mathematics

1 answer:

RoseWind [281]2 years ago

5 0

Answer:

C. I & III

Step-by-step explanation:

I simplifies to ...

2(6x +15 -5x) +4 = 40

12x +30 -10x +4 = 40

2x +34 = 40

II simplifies to ...

40 = 2(15 -x) +4

40 = 30 -2x +4

40 = -2x +34 . . . . . . not equivalent to I (sign of x-term is different)

III simplifies to ...

12x +30 -10x +4 = 40

2x +34 = 40 . . . . . . equivalent to I

___

I & III are equivalent

You might be interested in

A researcher working in a Human Resources department was interested in gender and sales figures so he conducted a t-test. The me

irina1246 [14]

Answer:

$d = \frac{78.24 -66.25}{\sqrt{\frac{7^2 +7^2}{2}}}= 1.713$

For the interpretation we consider a value for d small is is between 0-0.2, medium if is between 0.2-0.8 and large if is higher than 0.8.

And on this case 1.713>0.8 so we have a large effect size

This value of d=1.713 are telling to us that the two groups differ by 1.713 standard deviation and we will have a significant difference between the two means.

Step-by-step explanation:

Previous concepts

The Effect size is a "quantitative measure of the magnitude of the experimenter effect. "

The Cohen's d effect size is given by the following formula:

$d = \frac{\bar X_1 -\bar X_2}{\sqrt{\frac{s^2_1 +s^2_2}{2}}}$

Solution to the problem

And for this case we can assume:

$\bar X_1 =78.24$ the mean for females

$\bar X_2 =66.25$ the mean for males

$s_1 = s_2= 7$ represent the deviations for both groups

And if we replace we got:

$d = \frac{78.24 -66.25}{\sqrt{\frac{7^2 +7^2}{2}}}= 1.713$

For the interpretation we consider a value for d small is is between 0-0.2, medium if is between 0.2-0.8 and large if is higher than 0.8.

And on this case 1.713>0.8 so we have a large effect size

This value of d=1.713 are telling to us that the two groups differ by 1.713 standard deviation and we will have a significant difference between the two means.

4 0

2 years ago

Two angles are supplementary. One is 56° more than three times three times the other. Find the measures of the angles.

kaheart [24]

Supplementary means they equal 180 when added. Therefore:

X+56+3x=180
Combine common units
4x+56=180
Subtract 56 from both sides
4x=124
Divide by 4
X=31

Now we know the smaller angle is 31 degrees. Now we plug that into the larger angle:
3(31)+56
93+56
149

The larger angle is 149 degrees.

I hope this Helps!

8 0

2 years ago

Part of arianna’s earnings are based on a 5% commission rate. At the end of the day arianna earned 14.98 in commission. How much

Katarina [22]

Arianna sold for $ 299.6

Solution:

Given that, Part of Arianna’s earnings are based on a 5% commission rate

At the end of the day arianna earned 14.98 in commission

Therefore,

Commission earned = $ 14.98

Commission rate = 5 %

Let "x" be the amount that Arianna sell that day

Therefore, according to question,

5 % of amount earned = 14.98

5 % of "x" = 14.98

Solve the above equation for "x"

$5 \% \times x = 14.98\\\\\frac{5}{100} \times x = 14.98\\\\5x = 14.98 \times 100\\\\5x = 1498\\\\Divide\ both\ sides\ of\ equation\ by\ 5\\\\x = 299.6$

Thus arianna sold for $ 299.6

7 0

3 years ago

Efectuati ridicarea la putere

KATRIN_1 [288]

What power? ce putere?

8 0

3 years ago

A track runner is eager to see if practicing helps her improve. She has plotted data on her weekly 100-meter dash times (s) as w

insens350 [35]

Answer:

$\displaystyle s = -\frac{1}{5}h + 20$

Step-by-step explanation:

Time is the dependent variable, so you set your function equal to s. Then, the correlation of the graph has a $\displaystyle -\frac{1}{5}$ rate of change [slope] from the y-intercept of $\displaystyle [0, 20],$ so we choose this answer choice.

I am joyous to assist you anytime.

4 0

2 years ago