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3 years ago

Find the equation of a line parallel to the line y=-1/3x-1 and passing through the point (3,-3)

Mathematics

1 answer:

victus00 [196]3 years ago

3 0

-3 = -1/3(3) +b

b=-2

y=-1/3x -2

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1040 is the answer is that the new year to you

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3 years ago

The random variable X has a uniform distribution with values between 16 and 24. What is the mean and standard deviation of X

N76 [4]

Answer:

$Mean = 20$

$SD = 2.31$

Step-by-step explanation:

Given

$a = 16$

$b = 24$

Solving (a): The mean

The mean of a uniform distribution is:

$Mean = \frac{1}{2}(a + b)$

This gives:

$Mean = \frac{1}{2}(16 + 24)$

$Mean = \frac{1}{2}(40)$

$Mean = 20$

Solving (b): The standard deviation

The standard deviation is:

$SD = \sqrt{\frac{(b - a)^2}{12}}$

This gives:

$SD = \sqrt{\frac{(24 - 16)^2}{12}}$

$SD = \sqrt{\frac{(8)^2}{12}}$

$SD = \sqrt{\frac{64}{12}}$

$SD = \sqrt{5.333}$

$SD = 2.31$

6 0

3 years ago

A group of students went on a field trip. There were 3 boys for every 4 girls in the group. If there were 20 girls, how many stu

guajiro [1.7K]

Answer:

35 students

Step-by-step explanation:

So if every 3 boys there is 4 girls you can solve that there is 5 times the amount of girls to get to 20. So to solve for the boys you do the same.

3 x 5 = 15

That means there are 15 boys and 20 girls but we want to know the total so what you do is just add 15+20=35

So 35 total students.

Hope that helps and have a great day!

4 0

3 years ago

A number of b divided by -3 is greater than or equal to 6

Kay [80]

Answer: b ≤ -18

Step-by-step explanation:

Isolate the variable by multiplying both sides by -3. Remember that when you multiply or divide by a negativem the symbol flips.

$\dfrac{b}{-3}\geq6\\\\\\\dfrac{b}{-3}(-3)\geq6(-3)\\\\\\\large\boxed{b\leq-18}$

3 0

4 years ago

Estimate a 20% tip on a dinner bill of $161.86 by first rounding the bill amount to the nearest ten dollars.

MAXImum [283]

Answer:

See below

Step-by-step explanation:

If you just want the tip

$0.20*161.86\approx\frac{1}{5}*160=32$

If you want the total bill

$1.20*161.86\approx160+32=192$

7 0

2 years ago