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nekit [7.7K]
3 years ago
8

There are 20 students on the school's student council. A special homecoming dance committee is to be formed by randomly selectin

g 7 students from student council. How many possible committees can be formed? 5,040 77,520 390,700,800
Mathematics
2 answers:
AysviL [449]3 years ago
8 0

You can choose from 20 students for the first student, 19 for the second, 18 for the third, ..., 14 for the seventh student.

That gives you 20 * 19 * 18 * 17 * 16 * 15 * 14.

That number would allow you to write the students in different order. Since order here does not matter, any group with the same students in any order is the same group, you need to divide by the number of way you can order 7 items. Divide by 7 * 6 * 5 * 4 * 3 * 2 * 1

(20 * 19 * 18 * 17 * 16 * 15 * 14)/(7 * 6 * 5 * 4 * 3 * 2 * 1) = 77,520

Answer: 77,520

pogonyaev3 years ago
5 0

Answer: 77520

i got it right in my exam

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mariarad [96]

Step-by-step explanation:

<u>Y2 - Y1</u>

X2 - X1

<u>3 - 1</u>

2 - 1  

= 2

y - Y1 = m (x - X1)

y - 1 = 2(x - 1) --- IN POINT SLOPE FORM

y - 1 = 2x - 2

 + 1          + 1

y = 2x - 1 --- IN SLOPE INTERCEPT FORM


QUESTION 12:

Slope intercept form -

  • y = mx + b
  • m represents the slope
  • b represents the y - intercept AKA the starting point
  • When the slope is negative, you go down
  • When the slope is positive, you go up

ABOUT PROBLEM:

  • Since the slope is negative, you go down 4, right 3, but start from the 2 then start doing the slope
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y = -4/3x + 2


4 0
2 years ago
Find the following, giving your answers
stellarik [79]

Answer:

  a) 301.6 cm³

  b) 188.5 cm²

Step-by-step explanation:

The volume and lateral surface area of the cone can be found using the given dimensions with the given formulas. All that is needed is to substitute the appropriate values and do the arithmetic.

__

<h3>a) volume</h3>

The volume is given by the formula ...

  V = 1/3πr²h

The dimensions are given on the diagram: r = 6 cm, h = 8 cm. Using these values in the formula, we find the volume to be ...

  V = 1/3π(6 cm)²(8 cm) = 96π cm³ ≈ 301.6 cm³

The volume of the cone is about 301.6 cm³.

__

<h3>b) area</h3>

The lateral area of the cone is given by the formula ...

  A = πrl

The dimensions are given on the diagram: r = 6 cm, l = 10 cm (the slant height). Using these values in the formula, we find the area to be ...

  A = π(6 cm)(10 cm) = 60π cm² ≈ 188.5 cm²

The area of the curved surface is about 188.5 cm².

4 0
2 years ago
-2x - 1 is what polynomial
KiRa [710]
It’s a binomial cause there’s two terms
6 0
3 years ago
luis wants to buy a skateboard that usually sells for $79.99. all merchandise is discounted by 12%. what is the total cost of th
aivan3 [116]

<u>ANSWER: </u>

The total cost of the skate board is $74.61.

<u>SOLUTION: </u>

Given, Luis wants to buy a skateboard that usually sells for $79.99. all merchandise is discounted by 12%. luis has to pay a state sales tax of 6.75%.  

We need to find what is the total cost of the skateboard.

Final cost is nothing but original amount subtracted by discount and added with tax.

final cost = original cost – discount + sales tax

Original cost = $79.99

Discount = 12% of original cost

\begin{array}{l}{=12 \% \times 79.99} \\\\ {=\frac{12}{100} \times 79.99} \\\\ {=\frac{959.88}{100}} \\\\ {=9.5988}\end{array}

discount is $9.6 approximately

Sales tax = 6% of cost after discounting

\begin{array}{l}{=6 \% \times \text { (original cost - discount) }} \\\\ {=\frac{6}{100} \times(79.99-9.6)} \\\\ {=\frac{6}{100} \times(70.39)} \\\\ {=\frac{422.34}{100}} \\\\ {=4.2234}\end{array}

Sales tax is $4.22 approximately

Now, final cost = 79.99 – 9.6 + 4.22

= 84.21 - 9.6

= 74.61

Hence, the total cost of the skate board is $74.61

6 0
3 years ago
What is the example of 897 * 39+(34*964)
Verizon [17]

Answer:

a_n=a_1+(n-1)d

Step-by-step explanation:

sorry for late anwser

4 0
2 years ago
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