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devlian [24]
3 years ago
12

The combined SAT scores for the students at a local high school are normally distributed with a mean of 1479 and a standard devi

ation of 302. The local college includes a minimum score of 2294 in its admission requirements. What percentage of students from this school earn scores that satisfy the admission requirement
Mathematics
1 answer:
kotykmax [81]3 years ago
6 0

Answer:

0.35% of students from this school earn scores that satisfy the admission requirement.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The combined SAT scores for the students at a local high school are normally distributed with a mean of 1479 and a standard deviation of 302.

This means that \mu = 1479, \sigma = 302

The local college includes a minimum score of 2294 in its admission requirements. What percentage of students from this school earn scores that satisfy the admission requirement?

The proportion is 1 subtracted by the pvalue of Z when X = 2294. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{2294 - 1479}{302}

Z = 2.7

Z = 2.7 has a pvalue of 0.9965

1 - 0.9965 = 0.0035

0.0035*100% = 0.35%

0.35% of students from this school earn scores that satisfy the admission requirement.

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A college bookstore charges $60 for a yearly membership. The first book is free with membership and any book after that costs $7
brilliants [131]

Answer:

The equation representing Total money spend being as a member is m = 60+7.6(b-1)

Step-by-step explanation:

Given:

Memberships charges = $60

Cost of 1 book = $7.60

Let number of books be 'b'.

We need to find Total money 'm' spend yearly on buying books after becoming member.

Now we know that 1 book is free for a member.

Total money spend 'm' will be equal to Sum Memberships charges  and Cost of 1 book multiplied by number of books bought yearly minus 1.

Framing in equation form we get;

m = 60+7.6(b-1)

Hence The equation representing Total money spend being as a member is m = 60+7.6(b-1)

5 0
3 years ago
The table shows ordered pairs for a polynomial function, f. What is the degree of f?
Kazeer [188]

Answer:

5th degree

Step-by-step explanation:

To solve this problem/table, you have to find the differences in the f(x) side of the table until the differences between the numbers are the same, and then you have your degree. Look at the image attached for more sense

4 0
2 years ago
I don’t understand, plz help.
Allushta [10]

Answer for 6 only use 1 scoop  of the figaro flakes because it says he wants atleast 4 protein so 12 is at least 4 and "no more" means it can be less so 4 is less then 6 so it all works out . \_(^_^)_/

good luck and much  love ❤

5 0
3 years ago
In ABC with the right angle at vertex C, sin(b)= (26)/8. What is sin(a)?
Marat540 [252]

Answer:

We can use the Pythagorean theorem and properties of sines, cosines, and tangents to solve the triangle, that is, to find unknown parts in terms of known parts.

Step-by-step explanation:

Pythagorean theorem:   a2 + b2 = c2.

Sines:   sin A = a/c, sin B = b/c.

Cosines:   cos A = b/c, cos B = a/c.

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4 0
2 years ago
04:49
disa [49]
Answer- 85,7 g
300:7= 42,85
42,85x2=85,7
7 0
3 years ago
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