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3 years ago

What is the value of x

Mathematics

2 answers:

Brums [2.3K]3 years ago

6 0

(3x + 1) + 44 = 90
(3x + 1) = (90 - 44) = 46
3x = 45
x = 45 / 3
x = 15

gladu [14]3 years ago

6 0

The angles with (3x + 1) and (44) are complementary angles, meaning that they add up to 90 degrees.

(3x + 1) + (44) = 90
3x + 45 = 90
3x = 45
x = 15

The value of x is 15.

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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

What is the angle in the diagram below?

marishachu [46]

Answer:

148°

Step-by-step explanation:

x = 180 - 32 = 148°

(Supplementary angles)

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2 years ago