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2 years ago

Which equation represents a line which is parallel to the line 6y - 5x = -6?

Mathematics

1 answer:

Pavel [41]2 years ago

5 0

Answer:

Step-by-step explanation:

6y - 5x = - 6

6y = 5x - 6

If the num beside the x is not 5, then it's not a parallel line

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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

$76 \leq x \leq 89$

7 0

3 years ago

8. On Monday, 301 students went on a trip to the zoo. All 7 buses were filled and 7 students had to travel in

tankabanditka [31]

Answer:

42 Kids

Step-by-step explanation:

1st you have to subtract 7 form 301 so you get 294

2nd you divide 294 by 7 294/7

And you should get an answer of 42 Kids

5 0

2 years ago

Read 2 more answers

3) Washing your hands kills germs. If there are 275 germs chilling on your hands and

Romashka [77]

Answer:

So we can use geometric progression each time multiplying by 0.0475

so thats (275*0.0475)*10

So that means that we would get

130.625 so we subtract that from 275

275-130.625=144.375

That would be

Step-by-step explanation:

4 0

2 years ago

What number is 24% of 80?

almond37 [142]

24% of 80 is 19.2

120% of 70 is 84

20% of 150 is 30

0.8% of 150 is 1.2

120% of 85 is 102

3 0

2 years ago

Read 2 more answers

Solve by factoring<br> x^2-10=9x

BabaBlast [244]

Answer:

x=10

Step-by-step explanation:

x^2 - 10 - (9x) = 0

x^2 - 9x - 10 = 0

(x - 10) + (x + 1) = 0

x= 10

x = -1

4 0

2 years ago