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ch4aika [34]
3 years ago
10

suppose you scored a 99%, 67%, 83%, and 86% on your last four science tests. if your next text counts twice, is it possible to a

verage a 90%? explain your answer.
Mathematics
1 answer:
Irina18 [472]3 years ago
6 0

Answer:

If you get the maximum grade in the last test, your average grade will still be below 0.9 = 90%, which means that it is not possible to average a 90%.

Step-by-step explanation:

Average grade:

The average grade is given by the sum of all averages, divided by the number of tests.

In this question:

99%, 67%, 83%, and 86%.

Next test counts twice, which means that in total, there are 6 tests.

Is it possible to average a 90%?

The maximum grade in a test is 100% = 1. I will calculate the average grade you get a 100% on the last test, which is worth 2. So

M = \frac{0.99+0.67+0.83+0.86+2*1}{6} = \frac{5.35}{6} = 0.892

If you get the maximum grade in the last test, your average grade will still be below 0.9 = 90%, which means that it is not possible to average a 90%.

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OLEGan [10]

Answer:

B. ZJ = 85

C. KH = 68

Step-by-step explanation:

Given that ZK, ZL, ZM are perpendicular bisectors of ∆GHJ, they form a circumcenter which is equidistant from the vertices of ∆GHJ. According to the circumcenter theorem, ZH = ZG = ZJ = 85.

Also each median formed is equal. This means: KH = GH, LH = LJ, MG = MJ

Since HG = 136, KH = ½ of 136 = 68.

The two options that are true are:

B. ZJ = 85

C. KH = 68

4 0
3 years ago
Eric has another cube with edge lengths of 8 inches each He said the edge
Trava [24]

Answer:

nope

Step-by-step explanation:

Volume of a cube = a^3

1st cube with edge of 8:

V= 8^3

V= 512 cubic inches

2nd cube

V = (2 X 8)^3

V= 4096 cubic inches

If we multiply by 2 the 1st volume it is equal to 1024 cubic inches only, while the volume ogmf the 2nd cube is 4096

6 0
3 years ago
A) The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over times, x measured in
Brums [2.3K]

From the given linear function, we have that:

A. The function is constant on the following interval: B.2 ≤ x ≤ 5.

B. The function is increasing on the following interval: A.0 ≤ x ≤ 2.

C. The function is decreasing the fastest on the following interval: D.5 ≤ x ≤ 6.

D. The justification for the previous item is: D.5 ≤ x ≤ 6 is the interval where the slope is the steepest.

<h3>When a function is constant?</h3>

A function is constant when it's graph is an horizontal line, hence in this problem the function is constant for two intervals.

  • 2 ≤ x ≤ 5.
  • 10 ≤ x ≤ ∞.

Hence, in item A, option B is correct.

<h3>When a function is increasing?</h3>

A function is increasing on the intervals that y is increasing while x increases, that is, the function is moving right and up.

Hence, in item B, option A is correct.

<h3>When a function is decreasing?</h3>

A function is decreasing on the intervals that y is decreasing while x increases, that is, the function is moving right and down.

The decrease is faster when the division of the change in the output by the change in the input has the lower value(greater absolute negative).

Hence:

  • In item 3, option D is correct.
  • In item 4, option D is correct.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

7 0
1 year ago
A. Slide the quadrilateral to a new location in the box and trace it.
Masteriza [31]
Where is the quadrilateral I need a picture so I can answer
8 0
3 years ago
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3. Twenty-five percent of Santa's elves
bixtya [17]
600 elves

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1/4 of the total = 150.
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150 x 4 = 600
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3 0
2 years ago
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