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3 years ago

I am not sure how to figure this out.

Mathematics

1 answer:

umka2103 [35]3 years ago

3 0

Change them all into the same unit of measurement and you will see which is the furthest out by default.

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A certain standardized test's math scores have a bell-shaped distribution with a mean of 530 and a standard deviation of 119. Co

kumpel [21]

Answer:

a) 68.2%

b) 31.8%

c) 2.3%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 530

Standard Deviation, σ = 119

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

Formula:

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

a) P(test scores is between 411 and 649)

$P(411 \leq x \leq 649)\\\\= P(\displaystyle\frac{411 - 530}{119} \leq z \leq \displaystyle\frac{649-530}{119})\\\\= P(-1 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -1)\\= 0.841 - 0.159 = 0.682 = 68.2\%$

b) P(scores is less than 411 or greater than 649)

$P(x < 411 < x, x > 649)\\=1 = P(411 \leq x \leq 649)\\=1 - 0.682\\=0.318 = 31.8\%$

c) P(score greater than 768)

P(x > 768)

$P( x > 768) = P( z > \displaystyle\frac{768 - 530}{119}) = P(z > 2)$

$= 1 - P(z \leq 2)$

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

$P(x > 768) = 1 -0.977 = 0.023 = 2.3\%$

5 0

3 years ago

A square patio has an area of 122 square feet. How long is each side of the patio to the nearest 0.05?

jasenka [17]

Should be About 25 feet as your answer

3 0

2 years ago

PLS HELP ME ASAP WITH NUMBER 9 THANK YOUU

s2008m [1.1K]

9a)
4x - 2 + 30 = 68
4x + 28 = 68
4x = 40
x = 10

9b)
y = 180 -68
y= 112

4 0

2 years ago

What is y=2x-3 y=-3/4x-1/4 with work shown please help

makvit [3.9K]

2X-3 = -3/4x -1/4
Add 3 on both sides: 2X = -3/4x + 2.75
Add -3/4x on both sides: 2.75X = 2.75
Divide 2.75 on both sides: x= 1

hope this helped

8 0

2 years ago

Choose any method to find the gcf of 40 16 and 24

Juli2301 [7.4K]

The GCF of 40 16 and 24 is 8

<h3>How to determine the GCF of 40 16 and 24?</h3>

The numbers are given as:

40 16 and 24

Start by listing out the factors of the numbers:

This is done as follows:

The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40
The factors of 16 are: 1, 2, 4, 8, 16
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

Then the greatest common factor in the above list is 8.

Hence, the GCF of 40 16 and 24 is 8