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Sloan [31]
3 years ago
14

Which function is shown on the graph?

Mathematics
1 answer:
LenaWriter [7]3 years ago
7 0

Answer:

A

Step-by-step explanation:

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In a recent contest, the mean score was 210 and the standard deviation was 25. a) Find the z-score of John who scored 190 b) Fin
denpristay [2]

Answer:

a) Z = -0.8

b) Z = 2.4

c) Mary's score was 241.25.

Step-by-step explanation:

Problems of normally distributed samples 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.

In this problem, we have that:

\mu = 210, \sigma = 25

a) Find the z-score of John who scored 190

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

Z = \frac{190 - 210}{25}

Z = -0.8

b) Find the z-score of Bill who scored 270

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

Z = \frac{270 - 210}{25}

Z = 2.4

c) If Mary had a score of 1.25, what was Mary’s score?

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

1.25 = \frac{X - 210}{25}

X - 210 = 25*1.25

X = 241.25

Mary's score was 241.25.

3 0
3 years ago
Read 2 more answers
What is the diameter of a circle with an area of 1,808.64 square meters, rounded to the nearest meter?
lubasha [3.4K]

Answer:

Diameter = 47.99

Step-by-step explanation:

5 0
3 years ago
Right triangle ABC has a right angle at ∠B and the following measures: AB=37, m∠C=65°, and m∠A=25°.
julia-pushkina [17]

Answer: option B is the correct answer.

Step-by-step explanation:

Triangle ABC is a right angle triangle.

From the given right angle triangle,

AC represents the hypotenuse of the right angle triangle.

With m∠C as the reference angle,

BC represents the adjacent side of the right angle triangle.

AB represents the opposite side of the right angle triangle.

To determine m, we would apply

the Tangent trigonometric ratio.

Tan θ, = opposite side/adjacent side. Therefore,

Tan 65 = 37/m

m = 37/Tan65

m = 37/2.1445

m = 17.25

3 0
3 years ago
Helppppp plzzzzzzz!!!!! 20+PTS and brainliest!!!!!!!!
alisha [4.7K]

Answer:

37 sin 22 degrees = 12.53

use Pythagorean theorem

a^2 + b^2 = c^2

a^2 + 12.53^2 = 37^2

sqrt a^2 = sqrt 1,212

x = 34.8 or 35

Step-by-step explanation:

7 0
3 years ago
What is the product of (3a^2b^7)(5a^3b^8)
ikadub [295]

Answer:

when multiply with exponents you add so

(3a^2b^7)(5a^3b^8)=15a^5b^13

Hope This Helps!!!

5 0
2 years ago
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