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3 years ago

The table shows the heights of 40 students in a class.

Mathematics

1 answer:

My name is Ann [436]3 years ago

6 0

Answer:

see below

Step-by-step explanation:

There are 7 students between 120 and 124 so take the median of 122

Multiply the number of students by the median

7 * 122 =854

There are 8 students between 124 and 128 so take the median of 126

Multiply the number of students by the median

8 * 126 =1008

There are 13 students between 128 and 132 so take the median of 130

Multiply the number of students by the median

13 * 130 =1690

There are 9 students between 132 and 136 so take the median of 134

Multiply the number of students by the median

9 * 134=1206

There are 3 students between 136 and 140 so take the median of 138

Multiply the number of students by the median

3 * 138 =414

To find the mean, take the total weight and divide by the number of students

(854+1008+1690+1206+414) = 5172 lbs

7+8+13+9+3 = 40 students

5172/40 =129.3 lbs for the average

This is an estimate because we do not know that the number of students in each category will weight the median on average. We use the mean as an estimate of their weight. The median is the middle number of the category.

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miss Akunina [59]

The equation of a circle in standard form is

$(x - h)^2 + (y - k)^2 = r^2$

where (h, k) is the center of the circle, and r is the radius if the circle.

We need to find the radius and center of the circle.
We are given a diameter, so to find the center, we need the midpoint of the diameter.

M = ((-6 + 6)/2, (6 + (-2))/2) = (0, 2)
The center is (0, 2).

To find the radius, we find the length of the given diameter and divided by 2.

$d = \sqrt{(-6 - 6)^2 + (6 - (-2))^2)}$

$d = \sqrt{144 + 64}$

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7 0

3 years ago

Please help on these two

jeyben [28]

Answer:

For your first problem you want to see what all the sides would equal

You would have to combine them all into one big equation

5x-7+3x+1+4x=30 (now you want to combine like terms)

12x-7+1=30 (combined the x's together)

12x-6=30 (added -7 and 1)

12x=36 (added 6 to each side)

x=3 (divided 12 to each side)

Now you wanna plug 4 in for x for each side to find out the largest to smallest

AB=5(3)-7= 8

BC=3(3)+1= 10

AC=4(3)= 12

So in order from smallest to largest would be angle C, B, A because

Angle C is the smallest angle because the sides AC and BC are the longest so they form the smallest angle

Then it would be angle A being the largest because the smallest sides in length AB and BC make up the biggest angle

The next problem would be that in order for it to have to be a triangle the two smallest sides needs to add up higher than the third side so

11, 11, 24, 11+11=22, which is less than 24 so not this one

18,12,9, 9+12=21 which is greater that 18 so this one would be a triangle

9,10,19, 9+10=19 which 19 isn't greater than 19 so this one is not a triangle

4,7,23, 4+7=11 which is less than 23, so this one is also not a triangle

So your answer would be 18cm,12cm,9cm

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