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
Dominik [7]
3 years ago
14

Mike and Alice recycled 147 bottles altogether. Mike recycled 6 times as many bottles as Alice. How many bottles did Alice recyc

le?
Mathematics
1 answer:
ValentinkaMS [17]3 years ago
8 0

Answer:

The number of bottles recycle by Alice is 21.

Step-by-step explanation:

Given:

Mike and Alice recycled 147 bottles altogether. Mike recycled 6 times as many bottles as Alice.

Now, to find the quantity of bottles Alice recycle.

Let the number of bottles recycle by Alice = x.

And the number of bottles recycled by Mike = 6x.

So, according to question:

x+6x=147

⇒7x=147

<em>Dividing both sides by 7 we get:</em>

⇒x=21.

Therefore, the number of bottles recycle by Alice is 21.

You might be interested in
When the numerator and denominator have only 1 as a common factor
sammy [17]
Then it is in simplest form and they are both prime
7 0
3 years ago
Read 2 more answers
A recipe that serves four people calls for 2 1/4 cups of butter. How many cups of butter needed to serve 10 people? Show your wo
Eduardwww [97]

Answer:

5 5/8

Step-by-step explanation:

2 1/4 * 2 = 4 1/2

2 1/4 / 2 = 1 1/8

4 4/8 + 1 1/8 = 5 5/8

7 0
3 years ago
A financial talk show host claims to have a 55.3 % success rate in his investment recommendations. You collect some data over th
baherus [9]

Answer:

There is a 25.52% probability of observating 4 our fewer succesful recommendations.

Step-by-step explanation:

For each recommendation, there are only two possible outcomes. Either it was a success, or it was a failure. 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.

In this problem we have that:

p = 0.553, n = 10

If the claim is correct and the performance of recommendations is independent, what is the probability that you would have observed 4 or fewer successful:

This is

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_{10,0}.(0.553)^{0}.(0.447)^{10} = 0.0003

P(X = 1) = C_{10,1}.(0.553)^{1}.(0.447)^{9} = 0.0039

P(X = 2) = C_{10,2}.(0.553)^{2}.(0.447)^{8} = 0.0219

P(X = 3) = C_{10,3}.(0.553)^{3}.(0.447)^{7} = 0.0724

P(X = 4) = C_{10,4}.(0.553)^{4}.(0.447)^{6} = 0.1567

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0003 + 0.0039 + 0.0219 + 0.0724 + 0.1567 = 0.2552

There is a 25.52% probability of observating 4 our fewer succesful recommendations.

3 0
3 years ago
Suppose there is a 1.8*F drop
kiruha [24]
You didn’t complete it all.
6 0
3 years ago
Read 2 more answers
HELP PLSSS THIS IS HARD SOMEONEEE
inna [77]

Answer:

it's not even hard

Step-by-step explanation:

......

6 0
3 years ago
Other questions:
  • At a telethon, a volunteer can take 48 calls over a 4-hour shift. At this rate, how many calls can 12 volunteers take in a 4-hou
    6·1 answer
  • I don’t get number 6
    13·2 answers
  • Properties of Parallelograms<br><br> find x.
    15·1 answer
  • Which problem could the bar diagram represent?
    10·1 answer
  • Which graph shows all the values that satisfy Two-ninths x + 3 greater-than 4 and five-ninths
    14·2 answers
  • Witte a two column proof<br>Given​
    7·1 answer
  • Leciały kaczki: jedna na przedzie, dwie za nią, jedna z tyłu, dwie przed nią,jedna pomiędzy dwiema i trzy pod rząd. Ile kaczek l
    9·1 answer
  • Jack used cubes to make the right angle rectangular prism below she then made smaller rectangular prism using 1/4 of the number
    11·1 answer
  • The product of x and 5
    8·1 answer
  • Two segments are ___?__if they have the same measure
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!