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2 years ago

Expression of "Eight less than half the sum of 4 and k” into symbol

Mathematics

1 answer:

jolli1 [7]2 years ago

7 0

Answer:

$\frac{4+k}{2} -8$

Step-by-step explanation:

We're going to have to work backwards.

The sum of 4 and k is $4+k$ .

Half is simply that divided by 2.

$\frac{4+k}{2}$

Now, we'll subtract 8 from it.

$\frac{4+k}{2} -8$

Bam!

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A survey of shoppers is planned to determine what percentage use credit cards. prior surveys suggest 63% of shoppers use credit

Alona [7]

We would need a sample size of 560.

We first calculate the z-score associated. with this level of confidence:
Convert 95% to a decimal: 95% = 95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975

Using a z-table (http://www.z-table.com) we see that this is associated with a z-score of 1.96.

The margin of error, ME, is given by:
$ME=z*\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$

We want ME to be 4%; 4% = 4/100 = 0.04. Substituting this into our equation, as well as our proportion and z-score,
$0.04=1.96\sqrt{\frac{0.63(1-0.63)}{n}}
\\
\\\text{Dividing both sides by 1.96,}
\\
\\\frac{0.04}{1.96}=\sqrt{\frac{0.63(0.37)}{n}}
\\
\\\text{Squaring both sides,}
\\
\\(\frac{0.04}{1.96})^2=\frac{0.63(0.37)}{n}
\\
\\\text{Multiplying both sides by n,}
\\
\\n(\frac{0.04}{1.96})^2=0.63(0.37)
\\
\\n(\frac{0.04}{1.96})^2=0.2331
\\
\\\text{Isolating n,}
\\
\\n=\frac{0.2331}{(\frac{0.04}{1.96})^2}=559.67\approx560$

3 0

2 years ago

Select the postulate of equality or inequality that is illustrated.

Airida [17]

Hello,
"<" is transitive.
aa<b<2==>a<2

4 0

2 years ago

Read 2 more answers

Which is the same as moving the decimal point 3 places to the left in a decimal

Ludmilka [50]

Multiplying the number by 1,000

5 0

2 years ago

Last summer there were 88 players at coach rodriguez basketball camp. this year there are 125% of this number of players. how ma

ludmilkaskok [199]

To determine the number of those who joined the basketball camp this year, we just have to multiply the number of those who joined last year by the decimal equivalent of the percentage given. That is,
x = 88(1.25)
x = 110
Therefore, there are a total of 110 players for this years basketball camp.

6 0

3 years ago

A is directly proportional to b. When a is 6, b is 72. Find b when a is 8. 3

adelina 88 [10]

Answer:

a) "K" is proportional Constant K= 0.0833

b) The value of b = 99.639

Step-by-step explanation:

Explanation :-

Given 'a' is directly proportional to 'b'

a ∝ b

a = k b ....(i)

where "K" is proportional Constant

Case(i):-

when a =6 and b=72

a = k b

⇒ 6 = k (72)

⇒ $K = \frac{6}{72} = \frac{1}{12} = 0.0833$

Case(ii):-

Given a = 8.3

a = k b

⇒ 8.3 = 0.0833 ×b

⇒ $b = \frac{8.3}{0.0833} = 99.639$

Final answer:-

a)"K" is proportional Constant K= 0.0833

b) The value of b = 99.639

6 0

2 years ago