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
Shtirlitz [24]
3 years ago
6

If Kevin makes c toys in m minutes, how many toys can he make per hour?

Mathematics
1 answer:
mojhsa [17]3 years ago
8 0

Answer:

The number of toys that Kevin can make per hour is equal to 60\frac{c}{m}\ toys

Step-by-step explanation:

we know that

Kevin makes c toys in m minutes

Remember that

1 hour=60 minutes

so

Using proportion find out how many toys can be make in 60 minutes (one hour)

Let

x -----> the  number of toys that Kevin can make per hour

so

\frac{c}{m}=\frac{x}{60}\\ \\x=60\frac{c}{m}\ toys

therefore

The number of toys that Kevin can make per hour is equal to 60\frac{c}{m}\ toys

You might be interested in
Write the expansion of each binomial. (x-y)^4
TEA [102]
When you expand the binomial, you isolate each of the parts.
So, (x-y)^4 would turn into...

x^4 - y^4

The powers stay the same because (outside the parenthesis) you multiply them with whatever is inside the parenthesis. In this case, would be 1. All variables and numbers without a listed power have a power of one. Multiply 4*1 to get 4. 
4 0
2 years ago
If 31,000 citizens died in an automobile accidents in 2015. how many died each hour
stira [4]
Work out the number of hours in  1 year:-

1 year = 365*24 = 8760

So the number dying each hour = 31,000 / 8760 = 3.54 
6 0
3 years ago
Read 2 more answers
Andrew and Sam start counting from 150 to 200 including. Andrew counts by fives, and Sam counts by threes. What is the ratio of
Agata [3.3K]

Answer:

11/17

Step-by-step explanation:

The question says to find the ratio by which Andrew counts to the ratio Sam counts.

Andrew counts by 5s:

150,155,160,165,170,175,180,185,190,195,200. His total count is 11

Sam counts by 3s:

150,153,156,159,162,165,168,171,174,177,180,183,186,189,192,195,198. His total number of count is 17

The ratio of their count is 11:17

= 11/17

3 0
3 years ago
Read 2 more answers
What amount of money will accumulate to $192,400 in 6 years and 11 months at the interest rate of 5.36% compounded semi-annually
MaRussiya [10]

We will have the following:

\begin{gathered} 192400=A(1+\frac{0.0536}{2})^{(11/12)(2)}\Rightarrow A=\frac{192400}{(1+0.0536/2)^{(11/12)(2)}} \\  \\ \Rightarrow A=183293.7505...\Rightarrow A\approx18329375 \end{gathered}

So, the original quantity was approximately $183 293.75.

3 0
10 months ago
A filling machine fills bottles of nail polish with amounts that are normallydistributed with mean 18 mL and standard deviation
natulia [17]

Answer:

a. 0.2033 = 20.33% probability that one of the randomly selected bottles is filled with less than 17.5mL of nail polish

b. 0.0019 = 0.19% probability that the average fill of the twelve bottles is more than 17.5mL

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean 18 mL and standard deviation 0.6 mL.

This means that \mu = 18, \sigma = 0.6

a. What is the probability that one of the randomly selected bottles is filled with less than 17.5mL of nail polish?

This is the p-value of Z when X = 17.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{17.5 - 18}{0.6}

Z = -0.83

Z = -0.83 has a p-value of 0.2033

0.2033 = 20.33% probability that one of the randomly selected bottles is filled with less than 17.5mL of nail polish.

b. What is the probability that the average fill of the twelve bottles is more than 17.5mL?

Twelve bottles, so now n = 12, s = \frac{0.6}{\sqrt{12}}

The probability is:

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{17.5 - 18}{\frac{0.6}{\sqrt{12}}}

Z = -2.89

Z = -2.89 has a p-value of 0.0019

0.0019 = 0.19% probability that the average fill of the twelve bottles is more than 17.5mL

4 0
2 years ago
Other questions:
  • ∠1 and ​ ∠2 ​ are vertical angles. ∠2 ​ has a measure of 93°. What is the measure of ​ ∠1 ​?
    15·2 answers
  • The scale of a map is 7ft = 14.4 mi<br><br> map: ________ ft<br> actual: 24.6 mi
    14·2 answers
  • PLEASE HELP THIS IS DUE TODAY!!
    15·1 answer
  • Please help me with this question I’ve been stuck on it :(
    12·1 answer
  • Using the digits 0 to 9 at most one time each,fill in the boxes below to write equations whose solution is -1/2
    14·1 answer
  • A triangle has sides with lengths 5, 6, and 7. Is the triangle right, acute, or obtuse? Question 2 options: A) Obtuse B) Right C
    14·2 answers
  • Convert -140 degrees to radians
    15·1 answer
  • According to the survey described here, what was the sample of the survey? “A recent telephone survey of 900 teenagers aged 16 t
    5·1 answer
  • What is the slope of the line that passes through (3,5) (7,3)
    8·1 answer
  • Can someone pls help me
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!