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3 years ago

14

Find the quotient of: 3 1/3 ÷ 2 3/5 (Simplify if necessary)

1 answer:

sattari [20]3 years ago

4 0

Answer:

1 11/39

Step-by-step explanation:

Hope I could help

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There are 3 consecutive odd integers with a sum of 45. What is the greatest of the 3<br> integers

jeyben [28]

Answer:

15,17,19

so the answer is 17

3 0

3 years ago

Expand and simplify (y-3)³

Tanya [424]

Answer:

Expanded: (y-3)(y-3)(y-3)

Simplified: $y^{3}-9y^{2}+27y-27$

Step-by-step explanation:

Expanded: (y-3)(y-3)(y-3)

Simplified:

$y^{2} -3y-3y+9(y-3)\\y^{2} -6y+9(y-3)$

$y^{3} -3y^{2}-6y^{2} +18y+9y-27$

$y^{3}-9y^{2} +27y-27$

5 0

3 years ago

One number is four times another number. If their sum is 95, what are the numbers?

nikdorinn [45]

Let x be one number and y be the other.

#1 - Set up a system of equations.
4x = y
x + y = 45

#2 - Solve the system by substitution.
x + (4x) = 45
5x = 45
x = 9

(9) + y = 45
y = 36

8 0

3 years ago

Read 2 more answers

Two competing headache remedies claim to give fast-acting relief. An experiment was performed to compare the mean lengths of tim

DaniilM [7]

Answer:

$t = 0.875$

Step-by-step explanation:

Given

<u>Brand A</u> <u>Brand B</u>

$n_ 1= 12$ $n_2 = 12$

$\bar x_1 = 21.8$ $\bar x_2 = 18.9$

$\sigma_1 = 8.7$ $\sigma_2 = 7.5$

Required

Determine the test statistic (t)

This is calculated as:

$t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} + \frac{1}{n_2}}}$

Calculate s using:

$s = \sqrt{\frac{(n_1-1)*\sigma_1^2+(n_2-1)*\sigma_2^2}{n_1+n_2-2}}$

The equation becomes:

$s = \sqrt{\frac{(12-1)*8.7^2+(12-1)*7.5^2}{12+12-2}}$

$s = \sqrt{\frac{1451.34}{22}}$

$s = \sqrt{65.97}$

$s = 8.12$

So:

$t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} + \frac{1}{n_2}}}$

$t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{12} + \frac{1}{12}}}$

$t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{6}}}$

$t = \frac{21.8 - 18.9}{8.12 * 0.408}}$

$t = \frac{2.9}{3.31296}}$

$t = 0.875$

3 0

3 years ago

What is the slope of a line perpendicular to the line whose equation is

jonny [76]

Answer:

$- \frac{1}{2}$

Step-by-step explanation:

How do we find the line that's perpendicular to another?

We find the negative reciprocal. So for example if our slope is 2, the negative reciprocal would be $- \frac{1}{2}$ .

3 0

3 years ago