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alexgriva [62]
2 years ago
11

Halp me with this math problem

Mathematics
2 answers:
never [62]2 years ago
5 0
can you help me with mine too
inessss [21]2 years ago
3 0

Answer:

i think its A

Step-by-step explanation:

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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
What is the slope of a line parallel to the line whose equation is 4x + 5y = -35.
saw5 [17]

Answer:

y = -4/5x + 5

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Write equation in slope-intercept form

5y = -35 - 4x

y = -7 - 4/5x

Step 2: Write parallel line equation

y = -4/5x + 5

A parallel line is a line that has the same slope as the previous equation but a different y-intercept. They never intersect.

3 0
3 years ago
How many cans of cat food will sophie use after 12 days
Tcecarenko [31]

Answer: prob 36 or 24

4 0
3 years ago
Read 2 more answers
Find the length of each arc. Use the exact answer
Cerrena [4.2K]

Answer:

Option D = 16π/3 ft

Step-by-step explanation:

Arc length formula is written Mathematically as:

Arc length = 2πr × θ /360

r = 4 ft

θ = Central angle in degrees = 240°

2 × π × 4 × 240/360

8π × 240/360

8π × 20/30

16π/3 ft

So, the arc length is 16π/3 ft

3 0
3 years ago
A force of 56N is required to keep a spring stretched 4m from the equilibrium position. How much work in Joules is done to stret
Mariana [72]

Please check the attached images for the answer. Answer with full explanation is screenshoted. Plz refer.

Thanks ☺️

Hope it helps you.

8 0
3 years ago
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