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natima [27]
3 years ago
15

One of my students got 95 and 98 for the two Principal tests and for the final test. What is the average of her three tests? Wha

t should be the minimal grade on the final test so that the average of the three tests is at least 90?
Mathematics
1 answer:
timofeeve [1]3 years ago
3 0
97% because that is the average of the three test scores.
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SAT verbal scores are normally distributed with a mean of 433 and a standard deviation of 90. Use the Empirical Rule to determin
laila [671]

34% of the scores lie between 433 and 523.

Solution:

Given data:

Mean (μ) = 433

Standard deviation (σ) = 90

<u>Empirical rule to determine the percent:</u>

(1) About 68% of all the values lie within 1 standard deviation of the mean.

(2) About 95% of all the values lie within 2 standard deviations of the mean.

(3) About 99.7% of all the values lie within 3 standard deviations of the mean.

$Z(X)=\frac{x-\mu}{\sigma}

$Z(433)=\frac{433-\ 433}{90}=0

$Z(523)=\frac{523-\ 433}{90}=1

Z lies between o and 1.

P(433 < x < 523) = P(0 < Z < 1)

μ = 433 and μ + σ = 433 + 90 = 523

Using empirical rule, about 68% of all the values lie within 1 standard deviation of the mean.

i. e. ((\mu-\sigma) \ \text{to} \ (\mu+\sigma))=68\%

Here μ to μ + σ = \frac{68\%}{2} =34\%

Hence 34% of the scores lie between 433 and 523.

8 0
3 years ago
A local store is offering 20% off regular priceiPods. The original price is $200, how much willthe iPod cost during the sale?
Tju [1.3M]
This is the answer :
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\frac{80}{100}  =  \frac{x}{200}  \\ x =  \frac{200 \times 80}{100}  =  \frac{16000}{100}  = 160
the answer $160
8 0
2 years ago
ABC is an isosceles<br> AB= 3x-4 and BC= 5x-10<br><br> what is AB?
kakasveta [241]
3x-4=5x-10
Subtract 3x from both sides
-4=2x-10
Add 10 to both sides
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3 0
2 years ago
Read 2 more answers
Use set notation to write the members of the following set, or state that the set has no members. Odd numbers between 2 and 82 t
adell [148]

Let the set of all Odd multiples of 9 between 2 and 82 be denoted by D, then, using set-builder notation,

D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}

The odd multiples of 9, m, in the range 2\le m \le 82 form the set

\{9,27,45,63,81\}

Each member of the set is a term of the arithmetic progression

U_n=18n+9

where the values of n range from 0 to 4, or 0\le n\le 4

Putting these facts together, we get the result

D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}

Learn more about set-builder notation here: brainly.com/question/17238769

3 0
2 years ago
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