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
Goshia [24]
3 years ago
15

Which of the following is a true statement about functions ?

Mathematics
1 answer:
Alina [70]3 years ago
6 0

Answer:

D. If f and g are functions then;

(f\bullet g)(x) =f(x)\bullet g(x).

Step-by-step explanation:

The first option is not correct because composition of two functions is not commutative.

The second and third choice will also not yield the same result.

Let

f(x)=x^2 and g(x)=2x.

Then;

(f\bullet g)(x)=2x^3 and f(x)\bullet g(x)=2x^3.

The correct answer is option D.

You might be interested in
PLEASE HELPP!!!!!! FOR 10 POINTS. Am I right? Show work if I’m wrong
7nadin3 [17]

Answer:

you are correct, they are supplementary

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Although cities encourage carpooling to reduce traffic congestion, most vehicles carry only one person. For example, 64% of vehi
ira [324]

Answer:

a) 0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

b) 0.996 is the probability that more than half of the vehicles  carry just one person.    

Step-by-step explanation:

We are given the following information:

A) Binomial distribution

We treat vehicle on road with one passenger as a success.

P(success) = 64% = 0.64

Then the number of vehicles follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

We have to evaluate:

P(x \geq 6) = P(x =6) +...+ P(x = 10) \\= \binom{10}{6}(0.64)^6(1-0.64)^4 +...+ \binom{10}{10}(0.64)^{10}(1-0.79)^0\\=0.7291

0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

B) By normal approximation

Sample size, n = 92

p = 0.64

\mu = np = 92(0.64) = 58.88

\sigma = \sqrt{np(1-p)} = \sqrt{92(0.64)(1-0.64)} = 4.60

We have to evaluate the probability that more than 47 cars carry just one person.

P(x \geq 47)

After continuity correction, we will evaluate

P( x \geq 46.5) = P( z > \displaystyle\frac{46.5 - 58.88}{4.60}) = P(z > -2.6913)

= 1 - P(z \leq -2.6913)

Calculation the value from standard normal z table, we have,  

P(x > 46.5) = 1 - 0.004 = 0.996 = 99.6\%

0.996 is the probability that more than half out of 92 vehicles carry just one person.

5 0
3 years ago
Mrs.Connners went to a shopping mall with $250 in her wallet. At the store, she bought a coat and spent 3/5 of the money she had
LenKa [72]

Step-by-step explanation:

step 1. 250(3/5) = 50(3) = 150.

step 2. She spent $150 for the coat.

3 0
3 years ago
Read 2 more answers
The mean of 4 numbers is 21. calculate the sum of the 4 numbers
Ugo [173]

Answer:

84

Step-by-step explanation:

The mean is calculated as

mean = \frac{sum}{count} , then

\frac{sum}{4} = 21 ( multiply both sides by 4 )

sum = 84

8 0
3 years ago
What is the speed of a bus that travels 250 km in 2 hours
Ber [7]
The speed of a bus that travels 250 km in 2 hours is 145 because you have to divide 250 km and 2 hours which gives 145.

Hope this helps:)
8 0
3 years ago
Read 2 more answers
Other questions:
  • Min Jee wants to build a small patio using either brick or paver stones.
    12·1 answer
  • The Bakhshali Manuscript shows that another method for calculating nonperfect squares was being used in India by 400 CE. Use thi
    12·2 answers
  • When labeling a graph which comes first the x or y axis
    14·2 answers
  • The value of a computer depreciates with age, as shown in the table. Value of a Computer Which function represents the value of
    5·2 answers
  • HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    7·1 answer
  • To start, you have $63.75. You earn additional money babysitting. Then you purchase a new pair of shoes for $109.99. You now hav
    10·1 answer
  • There is a sales tax of $6 on an item that costs $63 before tax. A second item costs $210 before tax. What is the sales tax on t
    10·1 answer
  • Chris made a solid by joining two identical rectangular prisms as picture below. The overall dimensions of the composite solid a
    5·1 answer
  • A broken rectangular-shaped window is being replaced. It measures 24 inches by 182
    9·1 answer
  • Find x when g(x)=4<br> x=
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!