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Artemon [7]
3 years ago
15

Please help me and also please show me work

Mathematics
1 answer:
pychu [463]3 years ago
6 0
The equation simplified is:
2x
————-
3x-4
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For a normal distribution with μ=500 and σ=100, what is the minimum score necessary to be in the top 60% of the distribution?
STatiana [176]

Answer:

475.

Step-by-step explanation:

We have been given that for a normal distribution with μ=500 and σ=100. We are asked to find the minimum score that is necessary to be in the top 60% of the distribution.

We will use z-score formula and normal distribution table to solve our given problem.

z=\frac{x-\mu}{\sigma}

Top 60% means greater than 40%.

Let us find z-score corresponding to normal score to 40% or 0.40.

Using normal distribution table, we got a z-score of -0.25.

Upon substituting our given values in z-score formula, we will get:

-0.25=\frac{x-500}{100}

-0.25*100=\frac{x-500}{100}*100

-25=x-500

-25+500=x-500+500

x=475

Therefore, the minimum score necessary to be in the top 60% of the distribution is 475.

3 0
2 years ago
The growth of 100 young trees near a river is given below. At most 50 yards from the river (Event Y) More than 50 yards from the
Alona [7]

Answer:

It is 91% more likely that the tree was atmost 500 yards from the river.

<h3>Step-by-step explanation:</h3>

We are given with distance and height of 100 young trees near a river.

From that table, in total there are 55 trees which grow more than 3 ft during the year.

And among those 55 trees, 50 trees are atmost 50 yards from river.

Hence it is ≈91% more likely that the tree was atmost 50 yards from the river.

4 0
2 years ago
14. What is the vertex of y=-3x2 + 6x +15?
Flura [38]

Answer:

y=6x+21

Step-by-step explanation:

simply 3x2+6x+15

5 0
2 years ago
Jackson wrote the equation below on the whiteboard.
faust18 [17]
B = 7

7 x 6 = 42

42 + 6 = 48.
6 0
3 years ago
Read 2 more answers
If a coin is tossed and a number cube is rolled what is the probability of getting heads and the number cube shows 3?
Maurinko [17]

Answer:

1/12

Step-by-step explanation:

Since the probability of getting heads is 1/2 and the probability of the number cube getting three is 1/6, we multiply.

For every coin flip, there is a 1/6 chance of getting a three. But since there is another condition, we have to multiply. Multiplying both fractions make 1/12.

4 0
2 years ago
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