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3 years ago

Which value of x is in the solution set of 2(3x-1)≥4x-6

1 answer:

5 0

_ means equal to

2(3x-1)>_ 4x-6
6x-2>_4x-6
6x - 4x >_-6+2
2x>_ -4
=> x >_ -4/2
=> x >_ -2
This means x is greater or equal to -2 .
X - [-2, infinity)

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A recent CBS News survey reported that 64% of adults felt the U.S. Treasury should continue making pennies. Suppose we select a

enyata [817]

Complete Question

A recent CBS News survey reported that 64% of adults felt the U.S. Treasury should continue making pennies. Suppose we select a sample of 18 adults.

a-1. How many of the 18 would we expect to indicate that the Treasury should continue making pennies

a-2) What is the standard deviation?

a-3) What is the likelihood that exactly 3 adults would indicate the Treasury should continue making pennies?

Answer:

a-1 $\= x = 11 .52$

a-2 $\sigma = 2.036$

a-3 $P(3) = 4.7*10^{-5}$

Step-by-step explanation:

From the question we are told that

The sample size is $n = 18$

The proportion of adult that felt the U.S. Treasury should continue making pennies is p = 0.64

The proportion of adult that feel otherwise is

$q = 1- p = 1-0.64 = 0.36$

The mean is mathematically evaluated as

$\= x = n * p$

substituting values

$\= x = 18 * 0.64$

$\= x = 11 .52$

The standard deviation is mathematically represented as

$\sigma = \sqrt{ npq}$

substituting values

$\sigma = \sqrt{18 * 0.64 * 0.36}$

$\sigma = 2.036$

The likelihood that 3 adult would indicate the Treasury should continue making pennies is mathematically evaluated as

$P(3) = \left n} \atop \right. C_3 (p)^{3} * (q)^{n-3}$

Now

$\left n} \atop \right. C_3 = \frac{n! }{[n-3] ! 3!}$

substituting values

$\left n} \atop \right. C_3 = \frac{18! }{[15] ! 3!}$

$\left n} \atop \right. C_3 = \frac{18 * 17 * 16 * 15! }{[15] ! (3 *2 *1 )}$

$\left n} \atop \right. C_3 = \frac{18 * 17 * 16 }{ (3 *2 *1 )}$

$\left n} \atop \right. C_3 = 816$

$P(3) = 816 * (0.64 )^3 * (0.36 )^{18-3}$

$P(3) = 4.7*10^{-5}$

8 0

3 years ago

Please help me answer this!!!!

garik1379 [7]

<h3><u>Answer</u><u>:</u></h3>

$7 \frac{1}{2}$

<h3><u>Explan</u><u>ation</u><u>:</u></h3>

First, convert any mixed numbers to fractions. An easy way to convert:

$4 \frac{1}{2} = 4 \times 2 + 1$

$\frac{9}{2} \div \frac{3}{5}$

Then, apply the fractions formula for division.

$\frac{9 \times5 }{2 \times 3} = \frac{45}{6}$

Then, simplify.

$\frac{45}{6} = 7 \frac{1}{2}$

5 0

3 years ago

Explain how to decide which is a better value. 4 greeting cards for $10 and 6 greeting cards for $14.

xxMikexx [17]

Answer:

I dont know if this is supposed to be solved a certain way for a class, but as a bargain shopper, this is what I would do to figure out the best value.

Step-by-step explanation:

First divide $10 by 4: 10.00/4=2.5 or $2.50 per card

Then, divide $14 by 6: 14.00/6=2.3333333 so about $2.33 per card

Now, just look at the two answers and see which one is less.

If you buy 4 cards for $10, you will pay $2.50 for each card and if you buy 6 cards for $14, you will pay about $2.33 for each card. Therefore, the better value would be the 6 cards for $14.

6 0

3 years ago

devi bought 7 skirts at x$ each n skirts at 12$ each 2n +1 at 15 each a nd 4 skirts at $3x find the total

nikitadnepr [17]

Answer:

$(19x + 42n + 15)

Step-by-step explanation:

Devi bought 7 skirts at $x each, n skirts at $12 each, (2n + 1) skirts at $15 each and 4 skirts at $3x each. Find the total cost of the skirts she bought.

total cost of the skirt bought can be determined by adding the total costs of each shirt bought

7 skirts at $x each = $7x

n skirts at $12 each = $12n

(2n + 1) skirts at $15 = (2n + 1) x 15 = 30n + 15

4 skirts at $3x each = $12x

7x + 12n + 30n + 15 + 12x

combine like terms

19x + 42n + 15

7 0

3 years ago

Can you simplify 7/6

bulgar [2K]

Answer:

76 is already in the simplest form. It can be written as 1.166667 in decimal form (rounded to 6 decimal places).

7 0

3 years ago