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
DanielleElmas [232]
3 years ago
7

If y = 3ab + 2b3, what is y when a = 1 and b = 2

Mathematics
1 answer:
Dominik [7]3 years ago
5 0

Answer:  The required value of y is 22.

Step-by-step explanation:  We are given the following function of a and b :

y=3ab+2b^3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We are to find the value of y when a = 1 and b = 2.

To find the required value of y, we need to substitute the values of a and b in equation (i).

From (i), we get

y=3\times1\times2+2\times2^3=6+16=22.

Thus, the required value of y is 22.

You might be interested in
Which types of waves are stopped by the atmosphere (ozone)??
Neko [114]
Dangerous UV waves, and long radio waves
7 0
3 years ago
Can someone please help me answer this.
Anika [276]
4(y - 7) = 2y - 38
4y - 28  = 2y - 38
4y - 2y = -38 + 28
2y = -10
y = -5
3 0
3 years ago
Juanita is making necklaces to give as presents. She plans to put 15 beads on each necklace. Beadsare sold in packages of 20. Wh
Dovator [93]
3  Cause 20x3 = 60 and 60/15 =4
8 0
2 years ago
Read 2 more answers
PLEASE DO THIS YOULL GET BRAINLIEST!
andrew11 [14]

Answer:

7, 6 and elevation of 6

Step-by-step explanation:

Point A is on the points 7, 6 and 6 is the y (tall) point is it is up 6

4 0
3 years ago
Read 2 more answers
34​% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and a
finlep [7]

Answer:

a) There is a 18.73% probability that exactly two students use credit cards because of the rewards program.

b) There is a 71.62% probability that more than two students use credit cards because of the rewards program.

c) There is a 82% probability that between two and five students, inclusive, use credit cards because of the rewards program.

Step-by-step explanation:

There are only two possible outcomes. Either the student use credit cards because of the rewards program, or they use for other reason. So, we can solve this problem by the binomial distribution.

Binomial probability

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}.\pi^{x}.(1-\pi)^{n-x}

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

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

And \pi is the probability of X happening.

In this problem, we have that:

10 student are sampled, so n = 10

34% of college students say they use credit cards because of the rewards program, so \pi = 0.34

(a) exactly​ two

This is P(X = 2).

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

P(X = 2) = C_{10,2}.(0.34)^{2}.(0.66)^{8} = 0.1873

There is a 18.73% probability that exactly two students use credit cards because of the rewards program.

(b) more than​ two

This is P(X > 2).

Either a value is larger than two, or it is smaller of equal. The sum of the decimal probabilities must be 1. So:

P(X \leq 2) + P(X > 2) = 1

P(X > 2) = 1 - P(X \leq 2)

In which

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

So

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

P(X = 0) = C_{10,0}.(0.34)^{0}.(0.66)^{10} = 0.0157

P(X = 1) = C_{10,1}.(0.34)^{1}.(0.66)^{9} = 0.0808

P(X = 2) = C_{10,2}.(0.34)^{2}.(0.66)^{8} = 0.1873

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0157 + 0.0808 + 0.1873 = 0.2838

P(X > 2) = 1 - P(X \leq 2) = 1 - 0.2838 = 0.7162

There is a 71.62% probability that more than two students use credit cards because of the rewards program.

(c) between two and five inclusive

This is:

P = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

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

P(X = 2) = C_{10,2}.(0.34)^{2}.(0.66)^{8} = 0.1873

P(X = 3) = C_{10,3}.(0.34)^{3}.(0.66)^{7} = 0.2573

P(X = 4) = C_{10,4}.(0.34)^{4}.(0.66)^{6} = 0.2320

P(X = 5) = C_{10,5}.(0.34)^{5}.(0.66)^{5} = 0.1434

P = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.1873 + 0.2573 + 0.2320 + 0.1434 = 0.82

There is a 82% probability that between two and five students, inclusive, use credit cards because of the rewards program.

6 0
3 years ago
Other questions:
  • What is the diameter of a trampoline with an area of 49 square ft
    14·1 answer
  • Please help need help
    15·1 answer
  • What is the common difference in the sequence 50 40 30 20 10
    7·2 answers
  • Plz help ASAP!!! ill award brainliest!!!
    5·1 answer
  • What is the first step in solving the quadratic equation -5x + 8 = 1337
    9·1 answer
  • the expression 0.005* 0.85 represents the number of grams of iron in a liquid. how many grams of iron are in the liquid?
    9·1 answer
  • The Breyer twins split the cost of their purchase. They bought an aquarium for $28.00. They spent $14.00 on fish, and they spent
    8·1 answer
  • The price of a video game system dropped by 18%. What is the current price if it used to be $140?
    15·1 answer
  • How much is 7 cups in pints<br> Write your answer as a whole or mixed number in simplest form
    11·1 answer
  • What is the value of i^97 - i
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!