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
Charra [1.4K]
2 years ago
6

Cedric's favorite popcorn cost $0.34 cents per ounce.How much would he speand on 17 ounces of popcorn?

Mathematics
1 answer:
Olin [163]2 years ago
3 0

Answer:

$5.78

Step-by-step explanation:

You might be interested in
The probability that your call to a service line is answered in less than 30 seconds is 0.85. Assume that your calls are indepen
aev [14]

Answer:

a) 0.1720

b) 0.8298

c) 19

Step-by-step explanation:

For each call, there are only two possible outcomes. Either they are answered in less than 30 seconds. Or they are not. The probabilities for each call are independent. 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.

In this problem we have that:

p = 0.85

(a) If you call 12 times, what is the probability that exactly 9 of your calls are answered within 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is P(X = 9) when n = 12.

So

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

P(X = 9) = C_{12,9}.(0.85)^{9}.(0.15)^{3} = 0.1720

(b) If you call 20 times, what is the probability that at least 16 calls are answered in less than 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is P(X \geq 16) when n = 20

So

P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)

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

P(X = 16) = C_{20,16}.(0.85)^{16}.(0.15)^{4} = 0.1821

P(X = 17) = C_{20,17}.(0.85)^{17}.(0.15)^{3} = 0.2428

P(X = 18) = C_{20,18}.(0.85)^{18}.(0.15)^{2} = 0.2293

P(X = 19) = C_{20,19}.(0.85)^{19}.(0.15)^{1} = 0.1368

P(X = 20) = C_{20,20}.(0.85)^{20}.(0.15)^{0} = 0.0388

So

P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.1821 + 0.2428 + 0.2293 + 0.1368 + 0.0388 = 0.8298

(c) If you call 22 times, what is the mean number of calls that are answered in less than 30 seconds? Round your answer to the nearest integer.

The expected value of the binomial distribution is:

E(X) = np

In this question, we have n = 22

So

E(X) = 22*0.85 = 18.7

The nearest integer to 18.7 is 19.

7 0
3 years ago
Every round in a competition costs 30 diamonds and you get 10 shards. How many diamonds will it cost you to reach 1,024 shards?
Firdavs [7]

Answer:

3,090 diamonds

Step-by-step explanation:

To get 10 shards, you need to spend 30 diamonds.

First thing we need to find, how many rounds you need to play to get 1,024 shards if in each round you win 10 shards?

1,024/10 = 102,4

But you can not play 102.4 rounds, you only can play whole numbers, so we need to round it to the next whole number (not the previous one, because in that case, we would get less than 1,024 shards)

Then you need to play 103 rounds.

And each round costs 30 diamonds, then the total number of diamonds that you need is:

103*30 diamonds = 3,090 diamonds

3 0
2 years ago
The length of a metal rod is 9 3/4 feet. What is the length of 1/4 of the rod?
7nadin3 [17]

Answer:

2 \frac{5}{16}

Step-by-step explanation:

2 \frac{5}{16} × 4 = 9 3/4

9 3/4 × 1/4 = 2 5/16

I hope this helps!

3 0
2 years ago
Read 2 more answers
Please help I will give brainliest if its correct :) Question is in picture
Nonamiya [84]

Answer:

2.5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
PLEASE HELP FAST! 20 POINTS!!!
Sedbober [7]

Answer:

27%

Step-by-step explanation:

3/11 = 0.27272727

so about 27%

3 0
2 years ago
Read 2 more answers
Other questions:
  • 96 13=13 96 what property
    6·2 answers
  • What is one half times 10
    9·2 answers
  • What is 0.185 reapeated to a fraction?
    11·2 answers
  • If you were to ask 2370 people how many would perfer oranges
    13·1 answer
  • How many solutions for x does the following equation have? 2(x + 4) − 1 = 2x + 7
    8·1 answer
  • If you studied “the world in spatial terms” as a geographer, what would you most likely focus on?
    7·1 answer
  • PLS HELP SP=3x+1, and LN=10x−6. Find SP.<br><br> A. 9<br> B. 4<br> C. 21<br> D. 7
    14·1 answer
  • The table shows a proportional relationship between x
    5·1 answer
  • The length of segment AB is 5 units. What is the length of segment A'B'?
    15·1 answer
  • Question 16 of 50
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!