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3 years ago

Which of the following are side lengths of a right triangle?

Mathematics

1 answer:

tamaranim1 [39]3 years ago

7 0

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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

Brand A Brand B

$n_ 1= 12$ $n_2 = 12$

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

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

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

Solve the following inequality: -20 < 4 - 2x A. 8 >x B. 8 C. 12 > x D. 12

Mama L [17]

Answer:

-20 < 4 - 2x (subtract 4 from both sides)

-24 < -2x (divide each side by -2)

12> x (when you divide by a negative number, the inequality flips)

x< 12 ( I always put it so x is first)

so the answer is C

6 0

2 years ago

The length of a rectangle is four feet longer than the width. the area is 21. find the dimension

MakcuM [25]

The length is 7 and the width is 3

7 0

3 years ago

PIPEILY A. 4(3x - 5) 12x - 24

zloy xaker [14]

Answer:

No solution

Step-by-step explanation:

The question is 4(3x-5)=12x-24

so we do the step:12x-20=12x-24

No solution.

3 0

3 years ago

Read 2 more answers

Reynard and his friends visited an orchard on Sunday. They picked 12.34 pounds of apples and

Naddik [55]

21.9 pounds

12.34+9.56=21.9

6 0

11 months ago