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kumpel [21]
2 years ago
15

The equation of line AB is (y−3) = 5 (x − 4). What is the slope of a line perpendicular to line AB?

Mathematics
1 answer:
Darina [25.2K]2 years ago
8 0

Answer:

The perpendicular slope would be -1/5.

Step-by-step explanation:

This is because we can locate the slope of the original line as 5 (the number just outside of the x-coordinate parenthesis.

Then we know that perpendicular lines have opposite and reciprocal slopes. So we take the 5 and change the sign (-5), then we flip it (-1/5).

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The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $16 and $30 per share.
serg [7]

Answer:

a) 0.3571 = 35.71% probability that the stock price will be more than $25.

b) 0.1429 = 14.29% probability that the stock price will be less than or equal to $18.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

P(X < x) = \frac{x - a}{b - a}

The probability of finding a value between c and d is:

P(c \leq X \leq d) = \frac{d - c}{b - a}

The probability of finding a value above x is:

P(X > x) = \frac{b - x}{b - a}

Uniformly distributed between $16 and $30 per share.

This means that a = 16, b = 30

a) More than $25?

P(X > x) = \frac{30 - 25}{30 - 16} = 0.3571

0.3571 = 35.71% probability that the stock price will be more than $25.

b) Less than or equal to $18?

P(X < 18) = \frac{18 - 16}{30 - 16} = 0.1429

0.1429 = 14.29% probability that the stock price will be less than or equal to $18.

4 0
2 years ago
Rae wants to poll the students in her school to find out their favorite subject.
Kipish [7]

Answer: It is B

Rae will ask 75 randomb students in her school

Step-by-step explanation:

honestly I just guessed, and got it right

8 0
2 years ago
Another plan to secure the roller coaster involves placing two concrete struts on either side of the center of the leg of the ro
skelet666 [1.2K]

Answer:

The beam should be placed 8 feet from the center.

Step-by-step explanation:

The struts are y = √(x + 8) and y = √(x − 4).  The struts are 2 feet apart at the location of the beam:

√(x + 8) − √(x − 4) = 2

Solving:

√(x + 8) = 2 + √(x − 4)

x + 8 = 4 + 4√(x − 4) + x − 4

8 = 4√(x − 4)

2 = √(x − 4)

x − 4 = 4

x = 8

8 0
3 years ago
Indicate the degree of the term.<br> a^10
icang [17]
Letter “A” to the tenth power
7 0
3 years ago
When you buy an item on which sales tax is charged,the total cost is calculated by the formula T=P+s/100p where T is the total c
Gennadij [26K]

Given:

The formula for total cost is

T=p+\dfrac{s}{100}p

where, p is the price of item and s is the sales tax rate (as a percent).

You pay $14.77 for an item priced at $14.

To find:

The the tax rate.

Solution:

You pay $14.77 for an item priced at $14. So,

Total cost (T) = $14.77

Price of item (p) = $14

Putting T=14.77 and p=14 in given formula, we get

14.77=14+\dfrac{s}{100}(14)

14.77-14=\dfrac{s}{100}(14)

0.77=\dfrac{s}{100}(14)

Multiply both sides by 100.

77=14s

Divide both sides by 14.

\dfrac{77}{14}=s

5.5=s

Therefore, the tax rate is 5.5%.

7 0
3 years ago
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