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3 years ago

In a triangle, the measure of the second angle is twice the measure of the first angle. The third angle is equal to the sum

Mathematics

1 answer:

tresset_1 [31]3 years ago

7 0

20bxbsbs z. Sjens ammKzkz

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An art history professor assigns letter grades on a test according to the following scheme.A: Top 5% of scoresB: Scores below th

adoni [48]

Answer:

Grade B score:

$76 \leq x \leq 89$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 73.3

Standard Deviation, σ = 9.7

We are given that the distribution of score on test is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

B: Scores below the top 5% and above the bottom 62%

We have to find the value of x such that the probability is 0.62

$P( X > x) = P( z > \displaystyle\frac{x - 73.3}{9.7})=0.62$

$= 1 -P( z \leq \displaystyle\frac{x - 73.3}{9.7})=0.62$

$=P( z \leq \displaystyle\frac{x - 73.3}{9.7})=0.38$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 73.3}{9.7} = 0.305\\\\x = 76.26$

We have to find the value of x such that the probability is 0.05

$P(X < 0.95) = \\\\P( X < x) = P( z < \displaystyle\frac{x - 73.3}{9.7})=0.95$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 73.3}{9.7} = 1.645\\\\x = 89.26$

Thus, the numerical value of score to achieve grade B is

$76 \leq x \leq 89$

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3 years ago

4/5/10 in simplest form

Andrew [12]

Your answer is 4 1/2 your welcome

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3 years ago

Three concentric circles have radii of lengths 2, 4, and 8 feet. What is the length of the shortest line segment that has at lea

Kisachek [45]

The shortest distance between 2 concentric circles is the difference of their radii. Thus the answer is 8-2=6

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2 years ago

Will give Brainliest!!!!!

Alexxandr [17]

<h3>Determining the solution.</h3>

The solution(s) for the provided graph are (0, 6) and (6, 0)

<h3>What is a solution of a graph?</h3>

The solution of the <u>system of equations</u> is the <u>intersection</u> of the two equations.

<h3>Reasoning.</h3>

In the image provided, we can see two solutions (i<u>ntersection points)</u> that are intersected by a line and a circle.

<u>Those two solutions are:</u>

(0, 6) and (6, 0)

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2 years ago

Jeff ate 1/3 of the jar of cookies. Laura ate 1/6 of the cookies in the jar. What fractions of the cookies did they eat?

abruzzese [7]

Answer:

1.2/6

Step-by-step explanation:

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3 years ago