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3 years ago

A travel agent receives a 10 percent commission for booking a hotel room 2 points

Mathematics

1 answer:

kodGreya [7K]3 years ago

7 0

Answer:

the travel agent receives $54

Step-by-step explanation:

180×3=540

540x0.10= 54

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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

Function f is shown below f(-3) f(4) find x when f(x) = 5 find x when f(x)= -3

hjlf

Answer:

See below ~

Step-by-step explanation:

Based on the graph,

f(-3)

f(-3) = 0

2. f(4)

f(4) = -3

3. x when f(x) = 5

f(x) = 5
x = 0

4. x when f(x) = -3

f(x) = -3
x = ±4

4 0

2 years ago

Sunny earns \$12$12dollar sign, 12 per hour delivering cakes. She worked for xxx hours this week. Unfortunately, she was charged

dezoksy [38]

Answer:

12x - 15 dollars

Step-by-step explanation:

Sunny earns $12 per hour for delivering cakes.

She worked for x hours this week.

Unfortunately, she was charged $15 for a late delivery on Tuesday

She was supposed to earn $12 × x = $12x this week

But she was charged $15 for late delivery on Tuesday

So her net earning this week is; $12x - $15

7 0

3 years ago

75% of students were boys. there 18 boys in the class wht is the total number of students

Kaylis [27]

Answer:

the answer is 24.

Step-by-step explanation:

5 0

3 years ago

Solve the following inequality. 21<_-3(x - 4) < 30 A. 28<_x < 37 B. -3 <_ x < 6 C. -6 < x <_ -3 D. -10 &

Aloiza [94]

Answer:

Option C $-6$

Step-by-step explanation:

we have

$21\leq -3(x-4)$

The compound inequality can be divided into two inequality

$21\leq -3(x-4)$ -----> inequality A

$-3(x-4)$ ----> inequality B

Solve inequality A

$21\leq -3x+12$

$9\leq -3x$

Divide by -3 both sides

when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

$-3\geq x$

Rewrite

$x\leq -3$

The solution of the inequality A is the interval (-∞,-3]

Solve the inequality B

$-3x+12$

$-3x$

Divide by -3 both sides

when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

$x>-6$

The solution of the inequality B is the interval [-6,∞)

The solution of the compound inequality is

[-6,∞) ∩ (-∞,-3]=(-6,-3]

$-6$

3 0

3 years ago