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maria [59]
3 years ago
7

Select the correct answer from each drop-down menu.

Mathematics
1 answer:
erik [133]3 years ago
8 0

Answer:

Grades 6 and 8

Step-by-step explanation:

If the relationship of girls to boys in two different grades are proportional, <u>they must have the same ratio</u>. To tackle this problem, we can find the <u>ratios</u> of genders in each grade and compare them.

Step 1, finding ratios:

Finding ratios is just like <u>simplifying fractions</u>. We will reduce the numbers by their<u> greatest common factors</u>.

  • GRADE 6:

9:12=\\3:4

  • GRADE 7:

12:18=\\2:3

  • GRADE 8:

15:20=\\3:4

  • GRADE 9:

25:36

<u>Can't be simplified!</u>

<u />

Step 2:

Notice how grades 6 and 8 both had a ratio of 3:4. We can conclude that these two grades have a proportional relationship between girls and boys.

<em>I hope this helps! Let me know if you have any questions :)</em>

<u />

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Find the Slope between two points: (-1,9) and (2, 3)
seropon [69]

Answer:

Slope = -2

Step-by-step explanation:

x1   y1     x2   y2

(-1 , 9)     (2 , 3)

Slope = <u>y2 - y1</u>

             x2 - x1

<u>3 - 9  </u>= <u> -6  </u>

2 -(-1) =   3

                      = -2

3 0
3 years ago
PLEASE HELP!!! WILL MARK BRAINIEST IF CORRECT!
kvv77 [185]

Answer:

1 and 2. { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 , 100 }

3. Mean ➡ 13.67 ( About )

4. The mean will decrease. The mean is the average difference between the values in a data set, and this outlier is much greater than the rest of the values. Therefore, in the absence of the outlier the mean will decrease.

5. Mean ➡ 7.5

Step-by-step explanation:

I do want to point out that there is no " correct " answer in this case, but if you are referring to accuracy in terms of the calculations ( mean ) in this set, then I can understand.

1 and 2. An outlier is a value that does not belong to the set of values, considering their is pattern among the numbers. In other words it can be a number of high value, or a number of low value with respect to the data set. This throws the pattern of the set off balance, and does result in drastic changes in the mean.

Let's say that this is the following set - { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 }. A very basic set, but as you can see contains only 14 elements. This last element here will be the outlier, 100 - { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 100 }.

3 and 4 and 5. Assuming that this outlier was not present, I can tell that the set would have a mean less than when it was present. The mean is the average difference in the data set, and this outlier is greater than the other elements - greatly increasing the mean. The mean of the data set with the outlier is 13.67, and the mean of the data set without the outlier would be 7.5.

7 0
3 years ago
The volume of a cylinder is 441pi cubic centimeters and it’s radius is 7 centimeters. What is the height of the cylinder ?
Marat540 [252]

Answer:

\large\boxed{H=9\ cm}

Step-by-step explanation:

The formula of a volume of a cylinder:

V=\pi r^2H

r - radius

H - height

We have

V=441\pi\ cm^3,\ r=7\ cm

Substitute:

\pi(7^2)(H)=441\pi\qquad\text{divide both sides by}\ \pi\\\\49H=441\qquad\text{divide both sides by 49}\\\\H=9\ cm[/tex]

8 0
3 years ago
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The probability that a woman likes the color blue is 10%. The probability of liking blue is 40%. What is the probability that a
Crazy boy [7]

Answer: 25%, .25, or 1/4 as a fraction

4 0
3 years ago
In the figure, the dashed line divides the arrow in half. What is the total area of the arrow? 60 square centimeters 68 square c
WARRIOR [948]

Answer:

80 square centimeters

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The total area of the arrow is equal to the area of a rectangle plus the area of a triangle

step 1

Find out the area of the rectangle

The area of rectangle is equal to

A_1=LW

we have

L=17\ cm\\W=4\ cm

substitute

A_1=(17)(4)=68\ cm^2

step 2

Find the area of triangle

The area of triangle is equal to

A_2=\frac{1}{2}(b)(h)

we have

b=4+2+2=8\ cm\\W=20-17=3\ cm

substitute

A_2=\frac{1}{2}(8)(3)=12\ cm^2

step 3

The area of the arrow is equal to

A=A_1+A_2

substitute the values

A=68+12=80\ cm^2

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3 years ago
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