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mr_godi [17]
3 years ago
7

Miss Levans gave her class an exam on which the possible scores were integers from 0 to 100. If the class median was 91 points a

nd the average was 95 points, what was the top score in the class?
Mathematics
1 answer:
Fudgin [204]3 years ago
8 0

Answer:

  100

Step-by-step explanation:

Suppose there are 2n+1 students in the class. If n+1 of them score 91, and n of them score the high score h, for the average to be 95, we must have ...

  91(n+1) +nh = 95(2n+1)

  91n +91 +nh = 190n +95

  nh = 99n +4

  h = 99 +4/n

The high score must be greater than 99. The high score must be 100.

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8 * 5/7 equalfind the product write the product in its simplest form 8 * 5/7 ​
Naily [24]

The product of 8 and 5/7 is 5.7

<u>Step-by-step explanation:</u>

The given product is 8 \times 5/7.

<u>In the product, two terms are given :</u>

  • The first term 8 is a whole number.
  • The second term 5/7 is a fraction.

1) So, to find the product of the first term and the second term, one method is to simplify the fraction into decimal number and then perform multiplication operation.

2) Either you can multiply the two terms in the first step and then the division operation is performed at the final step.

<u>First method :</u>

<u><em>Step 1 :</em></u> Convert the fraction into decimal

⇒ 5/7 = 0.71

<u><em>Step 2 :</em></u> Multiply the result with the other term.

⇒ 8 × 0.71

⇒ 5.68 (approximately 5.7)

<u>Second method :</u>

<u><em>Step 1 :</em></u> Multiply both the terms

⇒ 8 ×(5/7) = 40/7

<u><em>Step 2 :</em></u> divide 40 by 7

⇒ 40÷ 7 = 5.7

Therefore, the product of 8 and 5/7 is 5.7

7 0
4 years ago
Find the values of x and y so that ABCD will be a parallelogram.
arsen [322]

Given:

Figure of a parallelogram.

To find:

The values of x and y.

Solution:

If two parallel lines intersected by a transversal line, then the alternate interior angles are congruent.

4x=24            (Alternate interior angles)

x=\dfrac{24}{4}

x=6

And,

y-10=32            (Alternate interior angles)

y=32+10

y=42

The value of x is 6 and the value of y is 42.

Therefore, the correct option is C.

3 0
3 years ago
The endpoints of the
siniylev [52]

The coordinates of point P along AB so that the ratio of AP to PB is 3 to 1 is (4,13).

<h3>What are coordinates?</h3>

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

Given that the ratio of the two lines is 3:1, therefore, we can write,

m:n = 3:1

Also, the coordinate of the endpoints of the line are,

A = (x₁, y₁) = (1, 7)

B = (x₂, y₂) = (5, 15)

Now, Using the Section formula the coordinate of the point P can be written as,

P = (\dfrac{mx_2+nx_1}{m+n}\ , \dfrac{my_2+yx_1}{m+n})\\\\P = (\dfrac{3(5)+1(1)}{4}\ , \dfrac{3(15)+1(7)}{4})\\\\P = (4, 13)

Hence, the coordinates of point P along AB so that the ratio of AP to PB is 3 to 1 is (4,13).

Learn more about Coordinates:

brainly.com/question/23450276

#SPJ1

3 0
2 years ago
Please help for brainyest
Paraphin [41]

Answer:

I know the answer

Step-by-step explanation:

I know the answer

7 0
3 years ago
mr. Nichols grows lettuce on his farm he watered 3 1/2 acres so far today he also begun fertilizing 1/4 of those acres how many
Deffense [45]
3 1/2 x 1/4= 7/2 x 1/4= 7/8 so he's watered and fertilized 7/8 of an acre today.
3 0
3 years ago
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