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padilas [110]
3 years ago
15

Can anyone help me with this

Mathematics
1 answer:
HACTEHA [7]3 years ago
6 0

Answer: y= 6 x = 92


Step-by-step explanation:


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The data given below contain the state cigarette tax​ (in $) for all 20 regions of a country.
g100num [7]

Answer:

(a) \bar x= 1.583 -- Population Mean

(b) s = 1.032 --- Population standard deviation

(c) See Explanation

Step-by-step explanation:

Given:

Cigarette tax for 20 regions

Solving (a): The population mean

This is calculated as:

\bar x = \frac{\sum x}{n}

\sum x = 1.36 + 1.70 + 2.50 + 0.45 + 1.18 + 0.64 + 3.46 + 0.57 + 2.00 + 0.80 + 1.60 +0.98 + 0.36 + 2.24 + 4.35 + 0.62 + 2.70 + 1.78 + 1.53 + 0.84

\sum x = 31.66

n = 20

So, we have:

\bar x= \frac{31.66}{20}

\bar x= 1.583

Solving (b): The population standard deviation

This is calculated as:

s = \sqrt{\frac{\sum( x - \bar x)^2}{n}

\sum (x -\bar x)^2 = (1.36 - 1.583)^2 + (1.70 - 1.583)^2+ (2.50 - 1.583)^2+ (0.45 - 1.583)^2+ (1.18 - 1.583)^2+ (0.64 - 1.583)^2+ (3.46 - 1.583)^2+ (0.57 - 1.583)^2+ (2.00 - 1.583)^2+ (0.80 - 1.583)^2+ (1.60 - 1.583)^2+(0.98 - 1.583)^2+ (0.36 - 1.583)^2+ (2.24 - 1.583)^2+ (4.35 - 1.583)^2+ (0.62 - 1.583)^2+ (2.70 - 1.583)^2+ (1.78 - 1.583)^2+ (1.53 - 1.583)^2+ (0.84- 1.583)^2

\sum (x -\bar x)^2 = 21.29222

So:

s = \sqrt{\frac{21.2922}{20}

s = \sqrt{1.06461}

s = 1.032

Solving (c):

Population mean tells the average amount while the standard deviation represents the spread from the calculated mean

Option (4) is correct

6 0
3 years ago
Hilida spent 47$ and know has no money left she had blink before her purchase​
Bas_tet [7]

Answer:

$47

Step-by-step explanation:

If she spent 47, and had none after, she spent 47.

8 0
3 years ago
Can you conclude from the figure that ABC is similar to DEF? Explain.​
pishuonlain [190]

Answer:

Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.

Step-by-step explanation:

We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.

Triangle ABC:

Measure of angle A= 60°

Measure of angle C= 40°

Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°

Triangle DEF

Measure of angle E= 80°

Measure of angle F= 40°

Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°

The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.

The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.

Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.

8 0
2 years ago
Given f(x) = 2x – 3, find the x value such that f(x) = 8.
jok3333 [9.3K]

Answer: 5.5

Step-by-step explanation:

Plugging it into the formula, we get

2x-3 = 8

Add 3 to both sides:

2x = 11

Divide by 2 on both sides:

x = 5.5

4 0
2 years ago
Read 2 more answers
How do you simplify 220/1 x 5/2
Dafna11 [192]
The simplify answer is 550.
7 0
3 years ago
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