MATHEMATICS HIGH SCHOOL

You and your friends pick up seven movies to watch over a holiday. You have time to watch only two. In how many ways can you select the two to watch?

Answers

Answer 1
Answer:

Answer:

There are 21 ways to select the two movies to watch.

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

{n\choose k}=(n!)/(k!(n-k)!)

It is provided that there are n = 7 movies to watch.

But we only have time for k = 2.

Compute the total number of ways in which we can select 2 movies from 7 as follows:

{7\choose 2}=(7!)/(2!(7-2)!)

    =(7!)/(2!* 5!)\n\n=(7* 6* 5!)/(2!* 5!)\n\n=(7*6)/(2* 1)\n\n=21

Thus, there are 21 ways to select the two movies to watch.

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The base of a rectangular prism is 20 cm 2 . If the volume of the prism is 100 cm 3 , what is its height?5 cm
10 cm
80 cm
120 cm

Answers

The correct answer is 5 cm. We can find this by substituting the values we've been given into the formula for the volume of a rectangular prism.

V = lwh   Volume of a rectangular prism
100 = 20h   Substitute. Keep in mind that the base is length times width, so 20 accounts for both variables.
5 = h   Divide both sides by 20

The height of the rectangular prism is 5 cm.

Hope this helps!

Answer:

5 CM

Step-by-step explanation:

Choose all statements true!A. 7 qt and 4 cups > 34 cups
B. 20 fl oz > 3 cups
C. 70 pints = 35 quarts
D. 5 gallon < 21 quarts
E. 47 pt < 6 gallons

Please help me and my brother please! <3

Answers

Answer:

C. 70 pints = 35 quarts

D. 5 gallons < 21 quarts

E. 47pt < 6 gallons

Step-by-step explanation:

There is 35 quarts in 70 pints, therefore being equal to it

There are 20 quarts in 5 gallons so 21 quarts is greater

6 gallons has 48 pints so it's more than 47 pints

Your model locomotive is 16 inches long. It is an exact model of a locomotive that is 40 feet long. A window on the locomotive is how many times wider than a window on the model?

Answers

Here you have to use proportionality,
1 feet is 12 inches so 40 feets is 480 inches
Then the real locomotive is 480/16=30 times wider then the model
And then a window on the real locomotive is 30 times wider then the model..

Answer:

30 times wider than the model

Step-by-step explanation:

Listen to your teacher and do ttm with brainly

Felipe has saved $625. He is starting a part-time job that pays him $150 a week, and he plans to save all of the money he earns. Which algebraic expression represents Felipe's total savings after x weeks? A.625x + 125 B.775x C.150x + 625 D.125x - 650

Answers

The answer is C, 150x+625
Where x is the number of weeks

Answer:

The correct answer is C. 150x + 625 because x equals the total number of weeks. Hope this helps!

Select each quadrilateral that has four congruent sides.trapezoid
isosceles trapezoid
parallelogram
rhombus
rectangle
square

Answers

1. Square
2. Rhombus

I hope I helped, if not please let me know and I will correct my answer.
Happy new year, good luck with your future studies.
Mabel L.

Answer:

Rhombus rectangle and square hope i helped

Whicg is an exponential decay function?


thx

Answers

Hello,

a^x is an exponentiel decay function if 0<a<1

7/4>1
(4/5)^-1 >1
(8/7)^-1 =7/8 <1 ******
9/2 >1

Answer C
 
The second one is a decay function because the value in parentheses is less than one. 
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