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polet [3.4K]
3 years ago
6

Kai is a struggling student who has received the following grades on his quizzes: 75, 80, 70, 40, 94, 76, 82, and 74. His teache

r allows for students to drop their lowest quiz grade, but only if they are also willing to drop their highest quiz grade in exchange. Would it be best for Kai to take his teacher up on this offer or should he take his grade he currently has? Why is your choice the better option?
Mathematics
1 answer:
nasty-shy [4]3 years ago
8 0
First find the average of his quizzes right now.

\frac{ 75+80+70+40+94+76+82+74}{8}

This is just the sum of his quiz scores divided by the number of quiz scores

You should get 73.875

Now we need to find the average of his quiz scores once the lowest and highest scores are dropped and not included.

lowest score = 40
highest score = 94

Take the sum of his quizzes without 40 and 94.

\frac{75+80+70+76+82+74}{6}

(Remember that we're divided by 6 and not 8 because we dropped two scores, so the total number of quizzes is two less)

Once we simplify this, we should get roughly 76.167

Compare the two scores:
original = 73.875
new = 76.167

Because the new average is higher, Kai should drop his highest and lowest scores. :)

You can also tell this because the lowest score is much lower from the average than the highest is higher from the average.

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What is the answer need it
denis-greek [22]

Answer:

\frac{7}{10} |

Step-by-step explanation:

STEP 1:

2/3 + 7/10 = ?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(2/3, 7/10) = 30

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(\frac{2}{3} * \frac{10}{10}) + (\frac{7}{10} * \frac{3}{3}) = ?

Complete the multiplication and the equation becomes

\frac{20}{30} + \frac{21}{30}

The two fractions now have like denominators so you can add the numerators.

Then:

\frac{20+21}{30} = \frac{41}{30}

This fraction cannot be reduced.

The fraction 41/30

is the same as

41 divided by 30

Convert to a mixed number using

long division for 41 ÷ 30 = 1R11, so

41/30 = 1 11/30

Therefore:

2/3+7/10= 1 11/30

STEP 2:

41/30 + -2/3

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(41/30, -2/3) = 30

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(\frac{41}{30} *\frac{1}{1} ) + ( \frac{-2}{3} * \frac{10}{10} )

The two fractions now have like denominators so you can add the numerators.

Then:

\frac{41+-20}{30} = \frac{21}{30}

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 21 and 30 using

GCF(21,30) = 3

\frac{21/3}{30/3} =\frac{7}{10}

Therefore:

\frac{41}{30} + \frac{-2}{3} =\frac{7}{10}|

8 0
3 years ago
Which term does not belong with the other three?
Brrunno [24]

Answer:

The one that does not belong has a different number of dimensions.

Step-by-step explanation:

<u>Given list consists of:</u>

  • a line segment (AB)
  • a plane (CDE)
  • a line (FG)
  • a ray (HI)

Three of them have one dimension but the plane has two dimensions,

therefore<u> </u>the plane in the list does not belong with the other three.

<u>So correct answer choice is:</u>

  • The one that does not belong has a different number of dimensions.

6 0
3 years ago
The altitude of a plane is 1200 meters. From a point on the ground, the angle of elevation of an airplane is 25º. What is the di
gtnhenbr [62]

Answer:

2839.4 meters

Step-by-step explanation:

Given that:

Altitude = 1200 m

Using trigonometry :

The distance from point P to the airplane :

Using trigonometric relation :

Sin θ = opposite / hypotenus

Sin θ = altitude / x

Sin θ = 1200 m / x

Sin 25 = 1200 / x

0.4226182 = 1200 / x

x = 1200 / 0.4226182

x = 2839.4423

Distance from P to airplane = 2839.4 meters

8 0
3 years ago
Allison measured a line to be 5.4 inches long. If the actual length of the line is 5.5 inches, then what was the percent error o
valentina_108 [34]

Answer:

1.85%

Step-by-step explanation:

→ Find the difference between the actual and predicted

5.5 - 5.4 = 0.1

→ Divide answer by 5.4

0.1 ÷ 5.4 = 0.01851851851

→ Multiply answer by 100

0.01851851851 × 100 = 1.85%

7 0
2 years ago
If 8x is the length of a rectangle and the area is 8x^2 -56x what must the width be?​
Irina18 [472]

Answer:

width= x-7

Step-by-step explanation:

l= 8x

Area = l*b

b= 8x^2-56x/8x

b= 8x(x-7)/8x

b= x-7

7 0
3 years ago
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