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4 years ago

When you are determining The probability of an event why must the probability be between 0 and 1

1 answer:

7 0

The probability of an event cannot be less than 0 because 0 means it's impossible. The probability of an event cannot be more than 1 because 1 means that it's certain that it will happen. That's why the probability must be between 0 and 1.

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For every $3.00 donated to a certain charity by Club A, $1.25 was donated by Club B. If the combined total amount donated to the

shtirl [24]

Answer:

D, $18,000.00

Step-by-step explanation:

Club A

$3 x is donated where x is the number of donations

Club B

$1.25x is donated where x is the number of donations

The total of donations is 25500.00

Add the donations times the dollar amount for Club A and Club B and you get the total amount donated

$3x +$1.25x = 25500.00

Combine like terms

4.25x = 25500.00

Divide by 4.25 on each side

4.25/4.25x = 25500.00/4.25

x =6000

There were 6000 donations

We want to find Club A donation amount

$3 x is the amount donated

3*6000 = 18000

4 0

3 years ago

Read 2 more answers

The principal represents an amount of money deposited in a savings account subject to compound interest at the given rate.

Paul [167]

Answer:

A) Amount in the account after 3 years = $ 7, 883.14

B) Interest earned = $ 883.14

Step-by-step explanation:

The formula to be used is given as

A = P ( 1 + r/n)^nt

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

In the question we are given the following values :

A = final amount = Unknown

P = initial principal balance = $7,000

r = interest rate = 4% = 0.04

n = number of times interest applied per time period = semi annually , n= 2

t = number of time periods elapsed = 3 years

A) Find how much money there will be in the account after the given number of years.

A = P ( 1 + r/n)^nt

A = $7,000 (1 + 0.04/2)²×³

A = $7,000( 1+ 0.04/2)⁶

A = $7,000( 1.02)⁶

A = $ 7,883.14

The amount in the account after 3 years = $ 7,883.14

B. Find the interest earned.

To find the interest earned, we use the formula

A = P + I where

P (principal) = $ 7,000.00

A (Amount after 3 years) = $ 7,883.14

I = A - P

I = $ 7,883.14 - $ 7,000.00

I =$ 883.14

The interest earned = $ 883.14

8 0

3 years ago

. The two bottles are similar in shape. The larger bottle holds 100 m/ of perfume. Calculate how many millilitres of perfume the

FromTheMoon [43]

Answer:

The smaller bottle holds 12.5 ml of perfume.

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

<h2>Given</h2>

Two bottles of similar shape;
Larger bottle has volume of 100 ml;
The length of larger bottle is 10 cm;
The length of smaller bottle is 5 cm.

The volume of smaller bottle.

<h2>Solution</h2>

Find the scale factor, the ratio of corresponding dimensions:

$k = 5/10 = 1/2$

We know the volume is the function of three dimensions, therefore the ratio of volumes is the cube of the scale factor:

$V_{small}/V_{large} = k^3\\$

Substitute the known values and find the volume of small bottle:

$V_{small}/100= (1/2)^3\\$
$V_{small}/100= 1/8$
$V_{small}= 1/8*100=12.5$

The smaller bottle holds 12.5 ml of perfume.

4 0

2 years ago

Read 2 more answers

Cost per mile is calculated by dividing total cost by total miles. Using the notation P = cost per mile, C = total cost, and M =

lutik1710 [3]

Cost per mile P- total cost (C) divided by total miles (M).
P= C/M

6 0

4 years ago

Read 2 more answers

Ms. Tyson is doing an engineering challenge with her students. Each team will get a kit with bags of marshmallows and boxes of t

natka813 [3]

Answer:

Step-by-step explanation:

7 0

3 years ago