MATHEMATICS
HIGH SCHOOL

(b) If three copies of the software are inspected, determine the probability that both defective copies will be found.

(c) If 88 copies are inspected, determine the probability that both copies will be found. (Hint: Work with the copies that remain in the lot.)

Answer:

Answer:

a) The probability of finding exactly 1 defective copy out of 3 is 0.06517.

b) The probability of finding both defective copies out of 3 is 0.00075.

c) The probability of finding both defective copies among 88 inspected copies is 0.95580.

Step-by-step explanation:

a) Defective copies can be first, second, or third in 3 inspected copies, thus

So,

b) Similarly,

c) Now, Choosing 88 copies, it is same as choosing 2 copies which would not be inspected so, the probability of detecting the 2 defected copies in the 88 inspected copies while leaving 2 copies (not inspected) is:

MIDDLE SCHOOL

Enzo picked 56 strawberries at a farm. This is 25 more than the number of apples he picked. Write and solve addition equation to find the number of apples Enzo picked

Enzo picked 31 apples

56strawberries-25more apples= number of apples

MIDDLE SCHOOL

How do you find the answer to 8/10 divided by 1/5

When fractions are divided by each other, you're really multiplying by the "multiplicative inverse". This is the fraction, but flipped.

1/5 x 2 to get 2/10 so now they have common denominators and 8 divides by 2 is 4 so your answer is 4

COLLEGE

What is the length of a diagonal of a square with a side length of 6?

By the Pythagorean Theorem:

d^2=x^2+y^2, where x and y are the dimensions of the rectangle, however this is just a square, so x=y=s so

d^2=s^2+s^2

d^2=2s^2, and we are told that s=6 so

d^2=2(6^2)

d^2=2(36)

d=√(2(36))

d=6√2 units

d≈8.49 units (to nearest hundredth of a unit)

d^2=x^2+y^2, where x and y are the dimensions of the rectangle, however this is just a square, so x=y=s so

d^2=s^2+s^2

d^2=2s^2, and we are told that s=6 so

d^2=2(6^2)

d^2=2(36)

d=√(2(36))

d=6√2 units

d≈8.49 units (to nearest hundredth of a unit)

D = 8.49

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MIDDLE SCHOOL

The following events aren't listed in the order in which they are likely to occur. Number the events in chronological order from one to five. A monitor is made a residual claimant.

Increased shirking reduces the output of the firm.

Firm comes into existence.

A monitor is chosen.

People in the firm start to shirk.

Answer:

The Correct order is:

1. Firm comes into existence.

2. People in the firm start to shirk.

3. Increased shirking reduces the output of the firm.

4. A monitor is chosen.

5. A monitor is made a residual claimant.

Step-by-step explanation:

If there will be a firm then there will be people who will work in the firm. So the firm's existence is the first event.

When there will be people working in the firm, there are chances that they will begin to shirk. Shirking is when a person produces less output than he promised to.

The more there will be shirking, the lesser work will done by the people which will reduce the output of the firm.

In order to reduce shirking a monitor is chosen who motivates the shirking people to produce more output.

A monitor is made a residual claimant so that he/she doesn't shirk. The monitor is given a share in the profits of a firm to prevent him/her from shirking.

HIGH SCHOOL

Liam's bottle had 2 1/2 cups of juice in it. He drank 1/3 of the juice in his bottle. How many cups of juice did Liam drink?

Answer:

cups

Step-by-step explanation:

Liam's bottle had cups of juice in it.

He drank of the juice in his bottle.

So he drank the amount of juice = × cups

= cups

Liam drank Juice cups

You basically have to do 2 1/2 times 1/3....

MIDDLE SCHOOL

Jack and Jill are raising money for a field trip. Jill wants to raise 20% more than jack. If jill reaches her goal and Jack raised $525, how much did they collect IN ALL?

To get the answer you would:

Multiply 525 by 1.2 525*1.2=

which equals 630

then you would add 525 to 630 525+630=

So the answer would be:

1155

Hope this helps

Multiply 525 by 1.2 525*1.2=

which equals 630

then you would add 525 to 630 525+630=

So the answer would be:

1155

Hope this helps

Together they got 1155. Y not use Photomath

HIGH SCHOOL

A sum of money becomes 5 times itself in 20 years at a certain rate of compound interest. What rate of interest per annum becomes four times itself?

Answer: 8.38%

Step-by-step explanation:

The formula for interest compounded annually is: where

- A is the amount accrued (ending balance)
- P₀ is the initial amount invested
- r is the interest rate
- t is the time (in years)

With the given information, we have:

- A = 5P₀
- P₀ = P₀
- r = ?
- t = 20

COLLEGE

Solve the system of equations

10x-9y=24

Answer:

10

x

−

9

y

=

24

Add

9

y

to both sides of the equation.

10

x

=

24

+

9

y

Divide each term by

10

and simplify.

Tap for more steps...

x

=

12

5

+

9

y

10

Step-by-step explanation:

HIGH SCHOOL

0.01 meter or 1/100 meter equals one: A.) Decimeter

B.) Centimeter

C.) Millimeter

Answer:

Option B - Centimeter

Step-by-step explanation:

Given : Expression 0.01 meter or 1/100 meter.

To find : Expression is equal to one?

Solution :

We know the measurement is defined as

Therefore, From the given options 0.01 meter or 1/100 meter is equal to one centimeter.

So, Option B is correct.

H̲̅ᴇ̲̅ʏ̲̅!̲̅ Hope that I can help!

There are 100 centimeters in a meter, so if you would divide a meter by 100, you'd get 1 centimeter.

Answer: B.) Centimeter.

If you were helped by my answer, remember that I worked really hard on it. Please click the [ ♥ ᴛʜᴀɴᴋs ] button below and give me a rating of ★★★★★ to show your appreciation.

There are 100 centimeters in a meter, so if you would divide a meter by 100, you'd get 1 centimeter.

Answer: B.) Centimeter.

If you were helped by my answer, remember that I worked really hard on it. Please click the [ ♥ ᴛʜᴀɴᴋs ] button below and give me a rating of ★★★★★ to show your appreciation.