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MariettaO [177]
3 years ago
11

HELP ME WITH THIS PLEASE I NEED HELP !!!

Mathematics
1 answer:
nignag [31]3 years ago
3 0

Answer:

We need a picture added- You can't just have "Help" xD add a pic in the next one and I'll see what I can do

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A set of test scores is normally distributed with a mean of 130 and a standard deviation of 30 What score is necessary to reach
nlexa [21]

Answer:

A score of 150.25 is necessary to reach the 75th percentile.

Step-by-step explanation:

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.

A set of test scores is normally distributed with a mean of 130 and a standard deviation of 30.

This means that \mu = 130, \sigma = 30

What score is necessary to reach the 75th percentile?

This is X when Z has a pvalue of 0.75, so X when Z = 0.675.

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

0.675 = \frac{X - 130}{30}

X - 130 = 0.675*30

X = 150.25

A score of 150.25 is necessary to reach the 75th percentile.

7 0
3 years ago
Simplify the following expresion. Classify the resulting polynomial 4x(x+1)-(3x-8)(x+4) A) quadratic monomial B) quadratic trino
lana66690 [7]

Answer:

Quadratic binomial

Step-by-step explanation:

4x(x+1) - (3x-8)(x+4)

Open parenthesis

(4x^2+4x) - (3x^2+12x-8x-32)

(4x^2+4x - 3x^2-12x+8x+32)

Collect like terms

4x^2-3x^2+4x+8x-12x+32

=x^2+32

Quadratic binomial

6 0
3 years ago
Slope passing through the points of (3,-3) and (2,-5)
umka2103 [35]

Answer:

Use the slope formula (y2-y1)÷(x2-x1)

Step-by-step explanation:

(-5-(-3))÷2-3

= (-2.5,-1)

4 0
3 years ago
If a Variable has a normal distribution with mean 30 and standard deviation 5 find the probability that the variable will be bet
Alexus [3.1K]

Answer:

P(25 < x < 37) = 0.77

Step-by-step explanation:

Given - If a Variable has a normal distribution with mean 30 and standard deviation 5

To find - find the probability that the variable will be between 25 and 37.

Proof -

Given that,

Mean, μ = 30

S.D, σ = 5

Now,

z = \frac{x-\mu}{\sigma} ~ N(0,1)

Now,

P(25 < x < 37)

= P(\frac{25 - 30}{5} < z < \frac{37 - 30}{5} )

= P(1 < z < 1.4)

= P(z < 1.4) - P(z < -1)

= 0.9192 - 0.1587

= 0.7605

≈ 0.77

∴ we get

P(25 < x < 37) = 0.77

4 0
3 years ago
he ratio of boys to girls on Rowan’s swim team is 2:3. If there are 24 boys on the team, how many girls are there?
vitfil [10]

Answer:

36 girls

Step-by-step explanation:

2:3

24 divided by 2 is 12

3 times 12 is 36

8 0
3 years ago
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