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3 years ago

7

Marnie had two pages of math homework and four pages of ELA homework. If each page had 14 questions on it, how many questions di

d she have to complete total?

1 answer:

ahrayia [7]3 years ago

4 0

Answer:

84

Step-by-step explanation:

First, there are 6 pages of work. then multiply 6 by the number of questions (14)

6x14=84

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Suppose that 10% of the undergraduates at a certain university are foreign students, and that 25% of the graduate students are f

Deffense [45]

Answer:

0.6154 = 61.54% probability that the student is an undergraduate

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Foreign

Event B: Undergraduate.

There are four times as many undergraduates as graduate students

So 4/5 = 80% are undergraduate students and 1/5 = 20% are graduate students.

Probability the student is foreign:

10% of 80%

25% of 20%. So

$P(A) = 0.1*0.8 + 0.25*0.2 = 0.13$

Probability that a student is foreign and undergraduate:

10% of 80%. So

$P(A \cap B) = 0.1*0.8 = 0.08$

What is the probability that the student is an undergraduate?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.08}{0.13} = 0.6154$

0.6154 = 61.54% probability that the student is an undergraduate

8 0

3 years ago

What is the value of 5 in 356,039,763

frosja888 [35]

Well, we know the last three numbers are:

3 (ones)
6 (tens)
7 (hundreds)

The next set is:

9 (thousands)
3 (ten thousands)
0 (hundred thousands)

And finally:

6 (millions)
5 (ten millions)
6 (hundred millions)

So we know that 5 is in ten millions.

7 0

4 years ago

Which expression results in a rational number

vesna_86 [32]

Answer:

C and D give rational numbers, as the square root of 49 is ±7 and the square root of 100 is ±10.

5 0

3 years ago

8 • (x • 4) <br> simplify each expression

muminat

Answer:

The answer would be: 8(4x)= 32x

5 0

3 years ago

The Kirkland family is buying a new living room set that costs $1,495.

never [62]

<h3>Answer: 173.04 dollars</h3>

======================================================

Explanation:

The down payment is $400, so that means they must pay back 1495-400 = 1095 dollars. Let L = 1095 be the amount loaned

The annual interest rate is 28% which means r = 0.28; the monthly interest rate is i = r/12 = 0.28/12 = 0.02333 approximately

There are 12 months in a year, so n = 12 is the number of payment periods

----------------------------------------

In summary so far, we have

L = 1095
i = 0.02333 (which is approximate)
n = 12

Those values will be plugged into the monthly payment formula below

M = L*( i*(1+i)^n )/( (1+i)^n - 1 )

M = 1095*( 0.02333*(1+0.02333)^12 )/( (1+0.02333)^12 - 1 )

M = 105.671914631108

M = 105.67

The monthly payment is $105.67

If they have a monthly payment of $105.67, and they pay that for 12 months, then 12*105.67 = 1,268.04 dollars is the amount of money they pay back to the credit card company.

The total amount of interest would be 1,268.04 - 1,095 = 173.04 dollars

Side note: the formula is a complicated ugly mess, so it's understandable to use calculators that already have the formula built in. Many websites offer free calculators that do this.

7 0

3 years ago