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3 years ago

Long division 207 divided by 9 show your work

Mathematics

1 answer:

mihalych1998 [28]3 years ago

6 0

You break up the 207 into smaller numbers you can work with. 9 can go into 20 a maximum of 2 times, so you subtract 2*9 or 18 from 20. Then, you bring down the 7. 9 goes into 27 exactly 3 times, so you have 9*23=207.

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on a map 2 inches equals 40 miles. if two cities are 15 miles apart what is the distinace between them on a map

alexandr402 [8]

On the map it’s 600 inches apart

4 0

2 years ago

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Of the entering class at a college, % attended public high school, % attended private high school, and % were home schoole

Veronika [31]

Answer:

(a) The probability that the student made the Dean's list is 0.1655.

(b) The probability that the student came from a private high school, given that the student made the Dean's list is 0.2411.

(c) The probability that the student was not home schooled, given that the student did not make the Dean's list is 0.9185.

Step-by-step explanation:

The complete question is:

Of the entering class at a college, 71% attended public high school, 21% attended private high school, and 8% were home schooled. Of those who attended public high school, 16% made the Dean's list, 19% of those who attended private high school made the Dean's list, and 15% of those who were home schooled made the Dean's list.

a) Find the probability that the student made the Dean's list.

b) Find the probability that the student came from a private high school, given that the student made the Dean's list.

c) Find the probability that the student was not home schooled, given that the student did not make the Dean's list.

Solution:

Denote the events as follows:

A = a student attended public high school

B = a student attended private high school

C = a student was home schooled

D = a student made the Dean's list

The provided information is as follows:

P (A) = 0.71

P (B) = 0.21

P (C) = 0.08

P (D|A) = 0.16

P (D|B) = 0.19

P (D|C) = 0.15

(a)

The law of total probability states that:

$P(X)=\sum\limits_{i} P(X|Y_{i})\cdot P(Y_{i})$

Compute the probability that the student made the Dean's list as follows:

$P(D)=P(D|A)P(A)+P(D|B)P(B)+P(D|C)P(C)$

$=(0.16\times 0.71)+(0.19\times 0.21)+(0.15\times 0.08)\\=0.1136+0.0399+0.012\\=0.1655$

Thus, the probability that the student made the Dean's list is 0.1655.

(b)

Compute the probability that the student came from a private high school, given that the student made the Dean's list as follows:

$P(B|D)=\frac{P(D|B)P(B)}{P(D)}$

$=\frac{0.21\times 0.19}{0.1655}\\\\=0.2410876\\\\\approx 0.2411$

Thus, the probability that the student came from a private high school, given that the student made the Dean's list is 0.2411.

(c)

Compute the probability that the student was not home schooled, given that the student did not make the Dean's list as follows:

$P(C^{c}|D^{c})=1-P(C|D^{c})$

$=1-\frac{P(D^{c}|C)P(C)}{P(D^{c})}\\\\=1-\frac{(1-P(D|C))\times P(C)}{1-P(D)}\\\\=1-\frac{(1-0.15)\times 0.08}{(1-0.1655)}\\\\=1-0.0815\\\\=0.9185$

Thus, the probability that the student was not home schooled, given that the student did not make the Dean's list is 0.9185.

3 0

3 years ago

There is a jar full of marbles. There are 3 red, 2 orange, 3 green and 4 blue marbles in the jar. If one marble is chosen random

timurjin [86]

Answer:

{red, red, red, orange, orange, green, green, green, blue, blue, blue, and blue}

Step-by-step explanation:

I think you just list all of them, I hope it's right, if not im gonna feel stupd

4 0

2 years ago

Read 2 more answers

A scale mode of a building is 8 in. by 12 in. The scale is 1 in:15 ft. What are the dimensions of the actual building? (*you nee

VikaD [51]

Answer:

120 ft by 180 ft

Step-by-step explanation:

If every inch is 15 feet multiply 8 inches by 15 and then 12 by 15 to get your dimensions

15 * 8 = 120

15 * 12 = 180

120 x 180 feet

Convert to inches if needed.

1440 inches by 2160 inches

6 0

2 years ago

Every month, the bank withdraws $15

ehidna [41]

Answer:

5 months

Step-by-step explanation:

Given :The bank withdraws $15 from Betsy’s checking account as a service fee every month.

To Find : Betsy has budgeted $75 for the next few service fees. For how many months will the service fee be covered?

Solution :

Since we are given that $15 is service fees for 1 month

So. $1 is service fee for month = $\frac{1}{15}$

So, $75 is service fee for months = $\frac{75}{15}$

= $5$

Hence$75 service charge will be covered for 5 months .

6 0

3 years ago