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3 years ago

A class of 64 students was given 320 book how many will each students take home

1 answer:

4 0

Each student will take=320/64

 =5

So the answer is 5.

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Mackenzie put $6,000.00 in a retirement account that offers 11% interest compounded annually. She makes no additional deposits o

Veronika [31]

Answer:

$39,960

Step-by-step explanation:

11% of 6000

= 11/100 × 6000

=$660

Year 1=$6,660.00

Year 6= $6,660.00 × 6 years

=$39, 960.00

8 0

3 years ago

Urgent. There are 12 coloured counters in a bag. The counters are black, white or grey A counter is chosen at random. The probab

Nastasia [14]

Answer:

1/12

Step-by-step explanation:

Needed information

$\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}$

The sum of the probabilities of all outcomes must equal 1

Solution

We are told that the probability that the counter is not black is 3/4.

As the sum of the probabilities of all outcomes must equal 1, we can work out the probability that the counter is black by subtracting 3/4 from 1:

$\sf P(counter\:not\:black)=\dfrac34$

$\implies \sf P(counter\:black)=1-\dfrac34=\dfrac14$

We are told that the probability that the counter is not white is 2/3.

As the sum of the probabilities of all outcomes must equal 1, we can work out the probability that the counter is white by subtracting 2/3 from 1:

$\sf P(counter\:not\:white)=\dfrac23$

$\implies \sf P(counter\:white)=1-\dfrac23=\dfrac13$

We are told that there are black, white and grey counters in the bag. We also know that the sum of the probabilities of all outcomes must equal 1. Therefore, we can work out the probability the counter is grey by subtracting the probability the counter is black and the probability the counter is white from 1:

$\begin{aligned}\sf P(counter\:grey) & = \sf1-P(counter\:black)-P(counter\:white)\\\\ & =\sf 1-\dfrac14-\dfrac13\\\\ & = \sf \dfrac{12}{12}-\dfrac{3}{12}-\dfrac{4}{12}\\\\ & = \sf \dfrac{12-3-4}{12}\\\\ & = \sf \dfrac{5}{12}\end{aligned}$

7 0

2 years ago

Which property is used to solve the following problem: 8(7-3)

Shtirlitz [24]

Answer:

D) Distributive property

Step-by-step explanation:

We use distributive property because the 8 is distributed to the 7 and the negative three (it is negative because the expression can also be written as 8(7 + -3). This is how it will look after the distributing:

56 + -24

7 0

3 years ago

Show your mastery of equivalent and simplifying fractions by using the sketchpad below to write the fraction

Sphinxa [80]

Answer: 2/3 (two thirds)

Explanation: Divide both denominator and numerator by the common factor of fourteen

3 0

3 years ago

Suppose 5 men and 7 women are on a crowded elevator. At the next floor, four people get off the elevator. Find the probability t

WINSTONCH [101]

Answer:

0.141

Step-by-step explanation:

There are ₇C₁ ways to choose 1 woman from 7.

There are ₅C₃ ways to choose 3 men from 5.

There are ₁₂C₄ ways to choose 4 people from 12.

So the probability is:

₇C₁ ₅C₃ / ₁₂C₄

7 × 10 / 495

0.141

4 0

3 years ago

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