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3 years ago

5/6 multiplied by y =25

Mathematics

1 answer:

Svetach [21]3 years ago

7 0

5/6×y=25 Y= -5/6+25 Y = 24.16667 or 24 1/6

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What’ set of three numbers could be the side lengths of a triangle

Fudgin [204]

3,4,5

idk if this is right these could work but what type of triangle and what are you trying to figure out

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3 years ago

In parallelogram RSTU if UV = 12 Find US

nlexa [21]

Answer:

US= 24

Step-by-step explanation:

B is the mid point of the diagonal which means that to get US you would add VS which is 12 and you get 24

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3 years ago

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

two-fifths of a number is decreased by three.find the value of the expression if the number is twenty five

djyliett [7]

The expression would be written as:

$\frac{2}{5}$ n-3

N is any number. This expression means two-fifths of a number, subtract three. Now substitute 25 for n.

$\frac{2}{5}$ (25)-3
=10-3
=7

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3 years ago

Emmett participated in a race. During the race, he ran 5 miles north and then ran 12 miles west. What is the shortest distance t

Lelechka [254]

I'd suggest you sketch this situation. If you did, you'd likely see right away that the shortest distance back to the starting point would be the hypotenuse of the right triangle whose legs are of lengths 5 miles and 12 miles.

Apply the Pythagorean Theorem to solve this.

4 0

3 years ago