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love history [14]
4 years ago
14

An individual is presented with three different glasses of cola, labeled C, D, and P. He is asked to taste all three and then li

st them in order of preference. Suppose the same cola has actually been put into all three glasses.What are the simple events in this ranking experiment, and what probability would you assign to each one?
Mathematics
1 answer:
balu736 [363]4 years ago
6 0

Answer:

The correct answer is:

the simple events are { cdp,cpd,dcp,dpc,pcd,pdc} and the probability is 1/6.

Step-by-step explanation:

Since they all contain the same cola, all six outcomes are equally likely with probability 1/6.

The probability that C is ranked first is : P(C ranked first) = P({cdp,cpd}) = 1/3.

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154,791

Step-by-step explanation:

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Every week, Fred deposits $84 into his savings account, which is 20% of his weekly income. How much income does Fred make each w
diamong [38]

Answer:

Step-by-step explanation:

if 84 dollars represents ...............20% of his income

?.........represents ...........................100%

84*100/20=420 dollars

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Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2a
sdas [7]

Answer:

-15

Step-by-step explanation:

We proceed as follows;

In this question, we want to fill in the blank so that we can have the resulting expression expressed as the product of two different linear expressions.

Now, what to do here is that, when we factor the first two expressions, we need the same kind of expression to be present in the second bracket.

Thus, we have;

2a(b-3) + 5b + _

Now, putting -15 will give us the same expression in the first bracket and this gives us the following;

2a(b-3) + 5b-15

2a(b-3) + 5(b-3)

So we can have ; (2a+5)(b-3)

Hence the constant used is -15

8 0
4 years ago
Your cousin Vinny wants to borrow $23750. He’s willing to pay you back over 8 years with simple interest. Your alternative is to
kolbaska11 [484]

Answer:

A)You will earn $20311.62 as interest  if you deposit $23750 into an investment account for 8 years.

B) The annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account is 10.69%

Step-by-step explanation:

We are given that Your cousin Vinny wants to borrow $23750. He’s willing to pay you back over 8 years with simple interest.

Your alternative is to invest in the $23750 into an account paying 7.75% compounded monthly.

a)How much interest would you earn in your investment if you deposit $23750 into an investment account for 8 years?

Principal = 23750

Rate of interest = 7.75%

No. of compounds per year = 12

Time = 8 years

Formula : A=P(1+\frac{r}{n})^{nt}

Where A is the amount

P is the principal

r = rate of interest

n = No. of compounds

t = time

Substitute the value sin the formula :

A=23750(1+\frac{7.75}{1200})^{12 \times 8}

A=44061.6163406

Interest = Amount - Principal

Interest = 44061.6163406-23750

Interest =20311.62

You will earn $20311.62 as interest  if you deposit $23750 into an investment account for 8 years.

B)What annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account

Principal = 23750

Simple interest =\frac{P \times T \times R}{100}

20311.62=\frac{23750 \times 8 \times R}{100}\\\frac{20311.62 \times 100}{23750 \times 8}=R\\10.69\%=R

Hence The annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account is 10.69%

4 0
4 years ago
The range of all real numbers x such that 2x − 5 < 7 or 4x + 10 > 6 is ___
Ivahew [28]
The answer is (-1,6). 2x-5<7, 2x<12, x<6; 4x>-4, x>-1, then -1
8 0
3 years ago
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