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3 years ago

15

Together, Tom and max have 72 football cards. Tom has 2 more than 4 times as many cards as max has. How many football cards does

Tom have?

1 answer:

frosja888 [35]3 years ago

4 0

Tom has 58 football cards

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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

(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

Rewrite as a simplefied fraction

9966 [12]

Answer:
79/25

Work:

Firstly, you have to change the decimal portion of 3.16 (0.16) into a fraction, then you simplify it by a common factor, which is 4. You then convert your whole number, which is 3, into an improper fraction by multiplying it by 25 and making that the numerator, 25 being the denominator of the fraction. Then, you add the two fractions and voila! You have a simplified fraction!

0.16 = 16/100

16/100 = 4/25

3 x 25 = 75

75/25 + 4/25 = 79/25

3 0

3 years ago

(x +5) (x -2) h e l p m e

SSSSS [86.1K]

Answer:

x=10

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Math algebra 2 show you’re work plz

LenKa [72]

9514 1404 393

Answer:

(t, u, w) = (1, -2, -2)

Step-by-step explanation:

A graphing calculator makes short work of this, giving the solution as ...

(t, u, w) = (1, -2, -2)

__

There are many ways to solve this "by hand." Here's one of them.

Add the first and third equations. Their sum is ...

-3t +4w = -11 . . . . . [eq4]

Add this to twice the second equation. That sum is ...

(-3t +4w) +2(-4t -2w) = (-11) +2(0)

-11t = -11

t = 1

Substituting this into the second equation gives ...

-4(1) -2w = 0

w +2 = 0 . . . . divide by -2

w = -2 . . . . add -2

Substituting for t in the third equation lets us find u.

2(1) -2u = 6

-1 +u = -3 . . . . . divide by -2

u = -2 . . . . add 1

The solution is (t, u, w) = (1, -2, -2).

5 0

3 years ago

Estimate the product of 648 divided by 72

Yakvenalex [24]

9. Hope this helps!!!

3 0

3 years ago

Read 3 more answers