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
Marianna [84]
3 years ago
12

the teacher of a senior class needs to choose 4 members of the class to represent the school. if there are 10 seniors in the cla

ss, how many different ways are there for the teacher to choose 4 in no particular order?
Mathematics
1 answer:
3241004551 [841]3 years ago
6 0
There are 10 seniors in the class, from which 4 should be chosen by the teacher. The order of the chosen students does not matter. This means that we speak of combinations. THe equation for calculating the number of possible combinations is:
C=N!/R!(N-R), where N is the total number of objects and R is the number of objects we select from the N 
In our case, N=10, R=4.
C= 10!/4!*6!=10*9*8*7*6!/6!*4*3*2*1=<span>10*9*8*7/24=5040/24=210
There are 210 different ways for the teacher to choose 4 seniors in no particular order.</span>
You might be interested in
PLLLLLLEAASSSSSSE HHHEEELLLPP AAAASSAPP
NeTakaya

Answer:

<em>The true statements are:</em>

<em>*The median weight for shelter A is greater than shelter B.</em>

<em>*The (IQR) interquartile range of shelter A is greater than the (IQR) interquartile range of shelter B.</em>

Step-by-step explanation:

<em>(for shelter A)</em>

median: 21

lowest value: 8

highest value: 30

lower quartile: 17

upper quartile: 28

(IQR) interquartile range: 28 - 17 = 11

Range: 30 - 8 = 22

<em>(for shelter B)</em>

median: 18

lowest value: 10

highest value: 28

lower quartile: 16

upper quartile: 20

(IQR) interquartile range: 20 - 16 = 4

Range: 28 - 10 = 18

~phew!, this took me long xd, hope this helps you~

I would highly appreciate it if you would mark me the brainliest~ :)

4 0
3 years ago
)A mule deer can run one over four of a mile in 25 seconds. At this rate, which expression can be used to determine how fast a m
makvit [3.9K]
Well, if you take x to be 25 seconds, there are 2.4x in 1min. So, that multiplied by 60, would be 144x. Therefore, 1/4 multiplied by 144x should be the answer.
6 0
3 years ago
Read 2 more answers
According to the National Bridge Inspection Standard (NBIS), public bridges over 20 feet in length must be inspected and rated e
slamgirl [31]

Answer:

1.80% probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

Step-by-step explanation:

For each bridge, there are only two possible outcomes. Either it has rating of 4 or below, or it does not. The probability of a bridge being rated 4 or below is independent from other bridges. So we use the binomial probability distribution to solve this problem.

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.

For the year 2020, the engineers forecast that 9% of all major Denver bridges will have ratings of 4 or below.

This means that p = 0.09

Use the forecast to find the probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

Either less than 4 have a rating of 4 or below, or at least 4 does. The sum of the probabilities of these events is 1.

So

P(X < 4) + P(X \geq 4) = 1

We want P(X \geq 4)

So

P(X \geq 4) = 1 - P(X < 4)

In which

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

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

P(X = 0) = C_{12,0}.(0.09)^{0}.(0.91)^{12} = 0.3225

P(X = 1) = C_{12,1}.(0.09)^{1}.(0.91)^{11} = 0.3827

P(X = 2) = C_{12,2}.(0.09)^{2}.(0.91)^{10} = 0.2082

P(X = 3) = C_{12,3}.(0.09)^{3}.(0.91)^{9} = 0.0686

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3225 + 0.3827 + 0.2082 + 0.0686 = 0.982

Finally

P(X \geq 4) = 1 - P(X < 4) = 1 - 0.982 = 0.0180

1.80% probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

6 0
2 years ago
Gordon types 2,736 words in 36 minutes. Find the unit rate.
STALIN [3.7K]

Answer:

76 words each minute

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
You put $939 into an investment at 8% for 6 years. What will the balance be at the end of 6 years?
WINSTONCH [101]

Answer:

At simple interest it will be 939+939×6×0.08=$1389.72.

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • If ABC is congruent to CBD, then what is the value of x?
    15·1 answer
  • Whats the answer please​
    9·2 answers
  • The grocery store sells bacon for $5.30 per pound. Write a function to represent this situation.
    10·1 answer
  • What is 9.27 as a fraction
    15·2 answers
  • 20 POINTS
    12·1 answer
  • NEED HELP ASAPPP !! find the y-intercept of the line of the graph.​
    7·1 answer
  • A factory makes orange paint by mixing red paint and yellow paint in the ratio 7:2. The factory makes 2700 litres of orange pain
    11·1 answer
  • Isabelle went for a hike on Wednesday at camp. The hike took 2 hours and 10 minutes. As soon as she got back, Isabelle played vo
    15·1 answer
  • Bennett is getting in shape for football season. He runs 400 yards, 3 times each day for 5 days. Which shows the correct way to
    15·2 answers
  • Write an equation of the line that passes through 9,2 and is parallel to the line y=5/3x+9
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!