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Greeley [361]
3 years ago
13

The average test scores for a particular test in algebra was 84 with a standard deviation of 5. What percentage of the students

scored higher than 89%? Please explain your answer.
Mathematics
1 answer:
Delicious77 [7]3 years ago
8 0

Answer:

The percentage of the students scored higher than 89% is 15.87%

Step-by-step explanation:

we are given

The average test scores for a particular test in algebra was 84

so, mean is 84

\mu=84

a standard deviation of 5

so,

\sigma=5

we have

x=89

now, we can use z-score formula

z=\frac{x-\mu}{\sigma}

now, we can plug values

z=\frac{89-84}{5}

z=1

now, we can use calculator

and we get

p(z>1)=0.1587

So,

The percentage of the students scored higher than 89% is 15.87%

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A sphere has diameter 28 cm. If the diameter is divided by 2, what is the effect on the surface area?
spayn [35]

Answer:

The surface area is divided by 4.

Step-by-step explanation:

Surface area of a sphere is 4πr².

When the diameter is 28 the radius is 14. So: 4π(14)² = 784π

If you cut the diameter in half you get 14. The radius is now 7.

4π(7)² = 196π.

784/4 = 196 so divided by 4.

4 0
3 years ago
20,000 pounds equals how many English tons?
bagirrra123 [75]
Let's remember that 1 pound equals 0.0005 tons, so if we multiply 0.0005 x 20,000 the answer is 10, so 20,000 pounds equal 10 tons.
7 0
3 years ago
For an outdoor concert by the city orchestra, concert organizers estimate that 10,000 people will attend if it's not raining. If
Vlada [557]

Answer:

The number of expected people at the concert is 8,500 people

Step-by-step explanation:

In this question, we are asked to determine the expected number of people that will attend a concert if we are given the probabilities that it will rain and it will not rain.

We proceed as follows;

The probability that it will rain is 30% or 0:3

The probability that it will not rain would be 1 -0.3 = 0.7

Now, we proceed to calculate the number of people that will attend by multiplying the probabilities by the expected number of people when it rains and when it does not rain.

Mathematically this is;

Number of expected guests = (probability of not raining * number of expected guests when it does not rain) + (probability of raining * number of expected guests when it rains)

Let’s plug values;

Number of expected guests = (0.3 * 5,000) + (0.7 * 10,000) = 1,500 + 7,000 = 8,500 people

4 0
3 years ago
There are 22 paper clips in a draw 12 is gold an 10 are silver what fraction of the paper clip is gold?
yKpoI14uk [10]

Answer:

6/11

Step-by-step explanation:

there are 12 gold clips out of 22, so 12/22 and divide both sides by two to simplify.

7 0
3 years ago
Elise won 40 lollipops and the school fair. she gave 2 to every student in her math class and has at least 7 left. what is the m
geniusboy [140]
40-7= 33
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The maximum would be 17 students
8 0
3 years ago
Read 2 more answers
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