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Juli2301 [7.4K]
3 years ago
8

Elias writes the numbers 1 through 20 on separate slips of paper. There are 16 white slips of paper and four yellow slips of pap

er. There are eight odd numbers on white slips, and the rest of the odd numbers are on yellow slips. Are the events "odd” and "yellow” independent?
no, because the probability of choosing a yellow slip is not equal to the probability of choosing a yellow slip given an odd number
no, because the probability of choosing an odd number is not equal to the probability of choosing an odd number on a yellow slip
yes, because the probability of choosing an odd number is equal to the probability of choosing an odd number given that the slip is yellow
yes, because the probability of choosing an odd number on a yellow slip of paper is equal to the probability of choosing an odd number
Mathematics
2 answers:
exis [7]3 years ago
7 0

Answer:

Its C

Step-by-step explanation:

Llana [10]3 years ago
5 0

<u>Answer:</u>

The correct answer option is: Yes, because the probability of choosing an odd number is equal to the probability of choosing an odd number given that the slip is yellow .

<u>Step-by-step explanation:</u>

We are given that Elias writes the numbers 1 through 20 on separate slips of paper.

Given that there are 16 white slips and four yellow slips and  eight odd numbers on white slips, and the rest of the odd numbers are on yellow slips, we can conclude that the events are odd and yellow independent because the probability of choosing an odd number is equal to the probability of choosing an odd number given that the slip is yellow .

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You are still debating about the two different computers. If you are paid $10.00/hour and your deductions are FICA (7.65%), fede
sattari [20]

Answer:

89 hours

Step-by-step explanation:

First solve all the deductions.

For each multiply the $10, which you are paid, and the percentage.

For FICA: $10 x 0.0765 = $0.77 per hr

For Fed tax: $10 x 0.12 = $1.2 per hr

For State tax: $10  x 0.08 = $0.8 per hr

Now subtract the remaining pay:

10 – 0.77 – 1.2 – 0.8 = $7.23

Time required = $640 / $7.23 per hr

Time required = 89 hrs

Final answer:

89 hours

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3 years ago
(Please show step by step workings)
matrenka [14]

Answer:

a. They will need $90,000.00 for the down payment

b. The mortgage amount (principal) will be $360,000.00

c. The monthly principal payment will be $1,500,00

   The monthly interest payment will be $634.40

d. The total interest they will pay: $152,256.00

Step-by-step explanation:

house price= $450,000

down payment = 20%

20-year mortgage

Interest rate= 3.75%

a. How much they will need for the down payment?

The down payment (DoP) is 20% of the house price

DoP= 20% de $450,000

DoP= 0.20*450,000

DoP= $90,000

b. What will be the mortagage amount (the principal)?

The mortgage amount (MoA) (principal) is the difference between the house price and the down payment.

MoA= $450,000 - $90,000

MoA= $360,000

c. How much will their monthly payment be for the principal and interest?

This equation represents the monthly payment (M):

M=P \frac{r(1+r)^{n} }{(1+r)^{n}-1}

where

P= the principal = $360,000

r= monthly interest rate = 3,75% divided by 12 = 0,31%

n= number of payments = 20 years multiplied by 12 months = 240

Let´s input these data into the equation:

M= 360,000\frac{0.0031(1+0.0031)^{240} }{(1+0.0031)^{240} -1}

M= 360,000\frac{0.0031(1.0031)^{240} }{(1.0031)^{240} -1}

Solving the equation:

M= $2,134.40

the principal component of this M would be

$360,000 divided by the 240 months

So, the principal component of M = $1,500.00

And the interest component of M is the difference

$2,134.40 - $1,500.00

So, the interest component of M = $634.40

d. How much total interest will they pay if they take the full 20 years to pay off the mortgage?

With every payment, they will be paying:

$634.40 per month, multiplied by 240 months

The total interest will be $152,256.00

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No. 4<br> please help, what’s a forty proportional?
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Answer:

a/b = c/d --> d = b*c/a

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3 years ago
A population has a known standard deviation of 1.27 and a sample space contains 85 values find the margin of error needed to cre
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Answer:

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Step-by-step explanation:

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Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

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In this question:

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M = 2.575*\frac{1.27}{\sqrt{85}}

M = 0.3547

The margin of error needed to create a 99% confidence interval estimate of the mean of the population is of 0.3547

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