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andriy [413]
3 years ago
15

What is the equation of the line, in point-slope form, that passes through the points (9, 1) and (4, 16)?

Mathematics
1 answer:
solong [7]3 years ago
7 0

Answer: -3

All work is shown in the attached sheet! :)

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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
SOMEONE ANSWER QUICK!!
aleksandrvk [35]

Answer:

3/4 of a pizza leftover.

Step-by-step explanation:

2 7/12 + 2/3 = 3 1/4

4 -  3 1/4 = 3/4

so 3/4 of 1 pizza is left.

6 0
2 years ago
If ƒ(x) = 2x² + 3, then which of the following represent ƒ(x + 1)?
Oliga [24]
This is a bit harder. I suggest getting the Domain and Range for the function of x.
If any of these answers have, an infinite domain and (3, infinite) range. That will be your answer.

Your answer is B.

f(x) = 2x²+3 has the same domain and range as x²+3
3 0
3 years ago
Answer for these :)
spin [16.1K]

Answer:

mAE

It's too short. Write at least 20 characters to explain it well.

3 0
2 years ago
Yesterday, the snow was 2 feet deep in front of Archie’s house. Today, the snow depth dropped to 1.6 feet because the day is so
IgorLugansk [536]

Answer: The depth of the snow has changed .4 inches. This is because it has melted in the warm weather. You can find the difference, by subtracting 1.6 from 2.          

Step-by-step explanation:

2 - 1.6= .4    .4 would be your answer

Hope it helps!!!!

4 0
3 years ago
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