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Dvinal [7]
3 years ago
5

Markus scored 85, 92, 82, and 94 on the first four tests of the semester. his teacher has not yet told him his score on his fift

h test, but did tell him that his score on the fifth test is five points lower than the average (arithmetic mean) of all five tests. which equation could markus use to determine the score of the fifth test, x
Mathematics
1 answer:
Mila [183]3 years ago
5 0
The average of the set of numbers is the quotient when the sum of the numbers is divided by the number of items. Given that Markus' fifth score x, the average is x+5. The equation for solving the fifth score and the arithmetic mean is, 
                         (85 + 92 + 82 + 94 + x) / 5 = x + 5
Further simplifying gives, 
                           (353 + x) / 5 = x + 5
Calculating for the value of x gives x = 82. 
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The formula for the hypotenuse of a right triangle with legs of length a and b is shown.
fomenos

Answer: b=\sqrt{c^{2}-a^{2}}

Step-by-step explanation:

To solve the exercise you must solve for b from the formula for the hypotenuse, as you can see below:

- Square both sides of the equation as following:

c^{2}=(\sqrt{a^{2}+b^{2}})^{2}

- Now you must subtract a² from each side of the equation, then you obtain:

c^2-a^{2}=a^{2}-a^{2}+b^{2}

c^2-a^{2}=b^{2}

- Apply square root to both sides:

\sqrt{b^{2}}=\sqrt{c^{2}-a^{2}}

Then:

b=\sqrt{c^{2}-a^{2}}

6 0
3 years ago
Read 2 more answers
Please answer correctly !!!!!!!!!!!! Will make Brianliest !!!!!!!!!!!!!!!!!!!
den301095 [7]

Answer:

The line that splits the x is parallel to the other two horizontal lines. On account of this, you can get that that the topmost part of it's angle is 30° because it is the congruent alternate interior angle to the topmost 30°. The same applies with the bottomost part of the x's angle and the 40° on the bottomost line. Then you get that part of x is 30° and the other part is 40°, so x as a whole is 70°, I think.

4 0
2 years ago
What divides a line segment into two congruent segments?
Nutka1998 [239]

Answer:

segment bisector

Step-by-step explanation:

Too cut in half, think bisect.

So we are talking about a segment, so segment bisector

3 0
3 years ago
Write the equation of a quadratic function who has the vertex of (4,-7)
timama [110]

Given:

The vertex of a quadratic function is (4,-7).

To find:

The equation of the quadratic function.

Solution:

The vertex form of a quadratic function is:

y=a(x-h)^2+k          ...(i)

Where a is a constant and (h,k) is vertex.

The vertex is at point (4,-7).

Putting h=4 and k=-7 in (i), we get

y=a(x-4)^2+(-7)

y=a(x-4)^2-7

The required equation of the quadratic function is y=a(x-4)^2-7 where, a is a constant.

Putting a=1, we get

y=(1)(x-4)^2-7

y=(x^2-8x+16)-7             [\because (a-b)^2=a^2-2ab+b^2]

y=x^2-8x+9

Therefore, the required quadratic function is y=x^2-8x+9.

6 0
2 years ago
It takes Oliver 30 minutes to walk to school everyday a distance of 1.5 miles. what is Oliver speed in miles per hour
Olegator [25]
1.5 miles/30 minutes is your unit rate. If you multiply the rate by 2 you would get 3 miles/hour.

So your final answer would be 3 miles per hour.
Hope this helps.
5 0
3 years ago
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