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
Sliva [168]
3 years ago
11

You bought a new fish tank with the dimensions 36 inches by 16 inches by 20 inches. What is the largest volume of water the tank

can hold?
Mathematics
1 answer:
lesantik [10]3 years ago
3 0

Answer:

11,520

Step-by-step explanation:

36 x 20 x 16

16 + 20 = 36 x 16

= 11,520

You might be interested in
Someone pls help me with this im new thats why tysm if you do help!!:)
Kipish [7]

Answer:

-8 hope this helps

Step-by-step explanation:

7 0
3 years ago
Find AM in the parallelogram if PN=9 and AO=4
yaroslaw [1]
Diagonals of a parallelogram bisect each other. It is not relevant that PN=9. since AO=4 then AM=4
5 0
3 years ago
734.8 divided by 1.67
Vladimir [108]
The answer is 440 :)
5 0
3 years ago
Read 2 more answers
A particular telephone number is used to receive both voice calls and fax messages. Suppose that 25% of the incoming calls invol
bagirrra123 [75]

Answer:

a) 0.214 = 21.4% probability that at most 4 of the calls involve a fax message

b) 0.118 = 11.8% probability that exactly 4 of the calls involve a fax message

c) 0.904 = 90.4% probability that at least 4 of the calls involve a fax message

d) 0.786 = 78.6% probability that more than 4 of the calls involve a fax message

Step-by-step explanation:

For each call, there are only two possible outcomes. Either it involves a fax message, or it does not. The probability of a call involving a fax message is independent of other calls. So 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.

25% of the incoming calls involve fax messages

This means that p = 0.25

25 incoming calls.

This means that n = 25

a. What is the probability that at most 4 of the calls involve a fax message?

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4).

In which

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

P(X = 0) = C_{25,0}.(0.25)^{0}.(0.75)^{25} = 0.001

P(X = 1) = C_{25,1}.(0.25)^{1}.(0.75)^{24} = 0.006

P(X = 2) = C_{25,2}.(0.25)^{2}.(0.75)^{23} = 0.025

P(X = 3) = C_{25,3}.(0.25)^{3}.(0.75)^{22} = 0.064

P(X = 4) = C_{25,4}.(0.25)^{4}.(0.75)^{21} = 0.118

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.001 + 0.006 + 0.025 + 0.064 + 0.118 = 0.214

0.214 = 21.4% probability that at most 4 of the calls involve a fax message

b. What is the probability that exactly 4 of the calls involve a fax message?

P(X = 4) = C_{25,4}.(0.25)^{4}.(0.75)^{21} = 0.118

0.118 = 11.8% probability that exactly 4 of the calls involve a fax message.

c. What is the probability that at least 4 of the calls involve a fax message?

Either less than 4 calls involve fax messages, or at least 4 do. 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). Then

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_{25,0}.(0.25)^{0}.(0.75)^{25} = 0.001

P(X = 1) = C_{25,1}.(0.25)^{1}.(0.75)^{24} = 0.006

P(X = 2) = C_{25,2}.(0.25)^{2}.(0.75)^{23} = 0.025

P(X = 3) = C_{25,3}.(0.25)^{3}.(0.75)^{22} = 0.064

P(X

P(X \geq 4) = 1 - P(X < 4) = 1 - 0.096 = 0.904

0.904 = 90.4% probability that at least 4 of the calls involve a fax message.

d. What is the probability that more than 4 of the calls involve a fax message?

Very similar to c.

P(X \leq 4) + P(X > 4) = 1

From a), P(X \leq 4) = 0.214)

Then

P(X > 4) = 1 - 0.214 = 0.786

0.786 = 78.6% probability that more than 4 of the calls involve a fax message

8 0
2 years ago
Could someone help me with (Q 15?) Maybe a brainliest if you do step by step and get the correct answer. Thank you :D
Sphinxa [80]

Answer:

It is a reflection  across the y axis

Step-by-step explanation:

The reflection of point (x, y) across the x-axis is (x, -y).

The reflection of point (x, y) across the y-axis is (-x, y).

Since (-4, -2.4) becomes (4, -2.4)  The x values changes sign.  It is a reflection  across the y axis

4 0
2 years ago
Read 2 more answers
Other questions:
  • The diameter of the larger circle is 10.5 cm. The diameter of the smaller circle is 4.5 cm. What is the approximate area of the
    12·2 answers
  • 5(y-4)=7(2y+1) find the y
    12·1 answer
  • Write an equation and graph it to show that it is either a function or not. Provide a picture of your graph
    9·1 answer
  • Write an equation that would be perpendicular to the following equation- y= -1/5 x + 8​
    6·1 answer
  • Please add a number line if you can
    5·1 answer
  • sally has a recipe for banana bread.She uses 5 cups of flour to make 3 loaves. Joan follows the same recipe. How many loaves can
    11·2 answers
  • Write in standard form the equation of a line with a slope of -3/5 and a y intercept of -3
    6·1 answer
  • Which of the following shows an example of the commutative property of multiplication
    10·1 answer
  • Find the length of AB.
    13·1 answer
  • the graph shows the height of a pendant for a certain amount of time and days happy Monday everybody there may be a proportional
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!