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2 years ago

What is the least common denominator (LCD) of 1/3 and 3/4

Mathematics

2 answers:

Wewaii [24]2 years ago

7 0

The LCD for 1/3 and 3/4 is 12. The answer is D

Len [333]2 years ago

6 0

D. because 3 and 4 don't both go into any other number besides 12, they don't go into 3, 4 or 7, so its 12.

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The data given below contain the state cigarette taxâ€‹ (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

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

2 years ago

What is the solutions for x in the equation -2x+14+10x=34

san4es73 [151]

Answer:

x=2.5

Step-by-step explanation:

Put the like terms together, like so:

10x-2x=34-14

The result is this:

8x=20

Simplify to get:

x=2.5

3 0

2 years ago

Read 2 more answers

Is this a negative, positive, or zero slope?

sveticcg [70]

Answer:

i think 0 slop. wait for the other person to answers this, to be sure of the answer

Step-by-step explanation:

5 0

2 years ago

Jerry starts a new career making $32,000 annually. Each year for a total of 30 years

LUCKY_DIMON [66]

Step-by-step explanation:

if your asking how much money will he make for 30 years it will be 960,000. if your asking how much money will he make for 1 year it will be 8,000 I think I'm not sure

6 0

2 years ago

Carly paid $17.50 for 7 gallons of gas and Jade paid $45 for 15 gallons of gas. Which of the following statements is true?

KatRina [158]

Answer:

Jade paid more per gallon than Carly

Step-by-step explanation:

3 0

2 years ago