1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
blsea [12.9K]
3 years ago
11

An election ballot asks voters to se4five city commissioners from a group of fifteen candidates. In how many wsys can this be do

ne
Mathematics
1 answer:
svp [43]3 years ago
8 0

That's "15 choose 5"

\displaystyle{15 \choose 5} = \dfrac{15! }{5! 10!} = \dfrac{15 \cdot 14 \cdot 13 \cdot 12 \cdot 11}{5 \cdot 4 \cdot 3 \cdot 2 \cdot 1} = (15/(5(3))(14/2)(13)(12/4)(11)\\\\= 7(13)(3)(11)=231(13)=3003

Answer: 3003 ways

You might be interested in
Simplfy <br> 2x+4/-3 = 12
nasty-shy [4]
So you have the equation (2x+4)/-3=12
Multiply by -3 on each side. 
2x+4=-36
2x=-20
x=-10
Hope this helps.
4 0
4 years ago
An angle measures 148° more than the measure of its supplementary angle. What is the measure of each angle? AND DONT PLAGERISE!!
Usimov [2.4K]

Answer:

Step-by-step explanation:

Supplementary angles add up to 180°.

“θ is 148° more than its supplement”

Supplement of θ = 180°-θ

θ = (180°-θ) + 148°

2θ = 328°

θ = 164°

Supplement of θ = 180°-164° = 16°

6 0
3 years ago
An electronic product contains 48 integrated circuits. The probability that any integrated circuit is defective is 0.01, and the
BigorU [14]

Answer:

0.6173 = 61.73% probability that the product operates.

Step-by-step explanation:

For each integrated circuit, there are only two possible outcomes. Either they are defective, or they are not. The integrated circuits are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

An electronic product contains 48 integrated circuits.

This means that n = 48

The probability that any integrated circuit is defective is 0.01.

This means that p = 0.01

The product operates only if there are no defective integrated circuits. What is the probability that the product operates?

This is P(X = 0). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{48,0}.(0.01)^{0}.(0.99)^{48} = 0.6173

0.6173 = 61.73% probability that the product operates.

5 0
3 years ago
What are the x and y -intercepts for the equation 5x - 4y = 10
balu736 [363]

Answer:

x=2

y= -2.5

Step-by-step explanation:

x int

1.) set y to 0 (5x -4(0)=10

solve for 5x=10

y int

1.) set x to 0

solve for -4y=10

4 0
3 years ago
Read 2 more answers
There are three cans of juice in the refrigerator and three-fourths of a fourth can. Write a mixed number that represents the am
Gemiola [76]
The answer 3 3/4 . Because there are three ( 3 ) whole cans of jucies in the refrigerator and the fourth can of juice is 3/4 . Thats how  you get the answer .
6 0
3 years ago
Other questions:
  • If A and B are independent events, P(A) = 0.4, and P(B) = 0.5, what is P(BIA)?
    8·1 answer
  • (−3.5x+7)−(5.3x−4) plz help
    5·1 answer
  • The relation R is shown in the table below.
    10·2 answers
  • 4/3 x −4 = 5 + x Help me please!
    11·2 answers
  • When 4((0.5 x + 2.5 y minus 0.7 x minus 1.3 y + 4)) is simplified, what is the resulting expression?
    12·1 answer
  • Factor:<br> x² – 3x+2<br> O A. (3-2)(x-1)<br> O B. (x-2)(x+1)<br> OC. (x+2)(x+1)<br> OD. (x+2)(x-1)
    14·1 answer
  • The measure of 3 angles of a triangle are 6x, 4x, and 8x. What is the measure of the largest angle?
    12·1 answer
  • How much is more the value including 13% vat on rs 4000 thann rs 4500
    6·2 answers
  • Solve each proportion using the Cross Products Property.<br> Will give brainliest
    15·1 answer
  • Rachael and Theodore plant a sunflower.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!