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3 years ago

GIVING BRAINLIEST! 20 POINTS!

Mathematics

1 answer:

alexgriva [62]3 years ago

4 0

Answer:

Step-by-step explanation:

A graph would go by 20 and 1 so B is correct.

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An English professor assigns letter grades on a test according to the following scheme. A: Top 5% of scores B: Scores below the

tangare [24]

Answer:

Grade D score:

$69 \leq x \leq 74$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 78.8

Standard Deviation, σ = 7.1

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

Formula:

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

D: Scores below the top 77% and above the bottom 9%

We have to find the value of x such that the probability is 0.77

$P( X > x) = P( z > \displaystyle\frac{x - 78.8}{7.1})=0.77$

$= 1 -P( z \leq \displaystyle\frac{x - 78.8}{7.1})=0.77$

$=P( z \leq \displaystyle\frac{x - 78.8}{7.1})=0.23$

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

$\displaystyle\frac{x - 78.8}{7.1} =-0.739\\\\x = 73.55$

We have to find the value of x such that the probability is 0.09

$P(X < 0.09) = \\\\P( X < x) = P( z < \displaystyle\frac{x - 78.8}{7.1})=0.09$

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

$\displaystyle\frac{x - 78.8}{7.1} = -1.341\\\\x = 69.27$

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

$69 \leq x \leq 74$

6 0

3 years ago

Look Down Below For question:

Ray Of Light [21]

The cattle train
speed - 36.5 km/h
time - x h

the passenger train
speed - 29.2 km/h
time - (2.4+x) h

The cattle train caught up to the passenger train so the distance they travelled is the same.
Distance is speed times time.

$36.5 \times x=29.2 \times (2.4+x) \\
36.5x=70.08+29.2x \\
36.5x-29.2x=70.08 \\
7.3x=70.08 \\
x=\frac{70.08}{7.3} \\
x=9.6 \\ \\ 2.4+x=2.4+9.6=12$

The passenger train travelled for 12 hours before the cattle train caught up.

7 0

3 years ago

Read 2 more answers

(2x + y = 14<br> 5x - y = 28<br> Which ordered pair represents the solution

vodomira [7]

Answer:

D (6,2)

Step-by-step explanation:

2x6+2=14 2x6= 12 12+2= 14

5x6-2=28 5x6=30 30-2=28

6 0

3 years ago