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
Korolek [52]
2 years ago
13

The ratio for 42 pens : 35 pencils as a fraction is

Mathematics
2 answers:
kotegsom [21]2 years ago
7 0

Answer:

\frac{42 \text{Pens} }{35 \text{Pencils}} or \frac{6 \text{Pens} }{5 \text{Pencils}}

Step-by-step explanation:

Ratio is defined as the comparison between the two sizes.

a:b = a/b

We have to find the ratio for 42 pens : 35 pencils as a fraction:

Given:

42 \text{Pens} : 35 \text{Pencils}

By definition:

⇒\frac{42 \text{Pens} }{35 \text{Pencils}}

Divide numerator and denominator by 7 we get;

\frac{6 \text{Pens} }{5 \text{Pencils}}

Therefore, the ratio for 42 pens : 35 pencils as a fraction is,

\frac{42 \text{Pens} }{35 \text{Pencils}} or \frac{6 \text{Pens} }{5 \text{Pencils}}

Alex73 [517]2 years ago
4 0
As a fraction,
35/42, simplified, 5/6
answer=5/6
hope this helps....
You might be interested in
A stadium already has 250 people in it at noon.If 35 people per minute enter the stadium,how many are in the stadium at 1:30 p.M
Talja [164]
12:00 to 1:30 , that is 90 minutes
if 35 people enter each minute then it should be multiplied by the number of minutes
that being said, 90 x 35 = 3,150 people are in the stadium at 1:30
3 0
2 years ago
2. In your own words, explain HOW to find the standard deviation of this data set. (20 points) 3. What does the standard deviati
Ket [755]

Answer:

\sigma = 11.28 --- Standard deviation

Step-by-step explanation:

Given

See attachment for graph

Solving (a): Explain how the standard deviation is calculated.

<u>Start by calculating the mean</u>

To do this, we divide the sum of the products of grade and number of students by the total number of students;

i.e.

\bar x = \frac{\sum fx}{\sum f}

So, we have:

\bar x = \frac{50 * 1 + 57 * 2 + 60 * 4 + 65 * 3 +72 *3 + 75 * 12 + 77 * 10 + 81 * 6 + 83 * 6 + 88 * 9 + 90 * 12 + 92 * 12 +95 * 2 + 99 * 4 + 100 * 5}{1 + 2 + 4 + 3 +3 + 12 + 10 + 6 + 6 + 9 + 12 + 12 +2 + 4 + 5}

\bar x = \frac{7531}{91}

\bar x = 82.76

Next, calculate the variance using the following formula:

\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f}

i.e subtract the mean from each dataset; take the squares; add up the squares; then divide the sum by the number of dataset

So, we have:

\sigma^2 = \frac{1 * (50 - 82.76)^2 +...................+ 5 * (100 - 82.76)^2}{91}

\sigma^2 = \frac{11580.6816}{91}

\sigma^2 = 127.26

Lastly, take the square root of the variance to get the standard deviation

\sigma = \sqrt{\sigma^2}

\sigma = \sqrt{127.26}

\sigma = 11.28 --- approximated

<em>Hence, the standard deviation is approximately 11.28</em>

Considering the calculated mean (i.e. 82.76), the standard deviation (i.e. 11.28) is small and this means that the grade of the students are close to the average grade.

8 0
2 years ago
A cereal manufacturer has a tolerance of 0.75 oz for a box of cereal that is supposed to weigh 20 oz. Determine the compound ine
Advocard [28]

I hope it helps you

3 0
2 years ago
At a fabric store, the probability that a customer buys thread is 0.15. The probability that a customer buys a needle given that
Sveta_85 [38]

Answer:

The correct statement is:

C. Buying a needle and buying a thread are dependent events.

Explanation:

The first statement is incorrect because the given events are dependent on each other because the probability that a customer buys a needle given that the customer buys thread is 0.25.

The second statement is incorrect because we cannot say all those who buy a thread also buy a needle.

The fourth statement is incorrect because the probability that a customer buys a needle and thread is 0.25 \times 0.15=0.0375



8 0
3 years ago
A large plane is able to cruise at 530 miles per hour.<br> What is the ratio of miles per hour?
NeTakaya
530 miles are travelled for every hour passed?
3 0
3 years ago
Other questions:
  • A right triangle has a hypotenuse of 70 feet and a leg of 35 feet. What is the length of the other leg? Select one:
    10·1 answer
  • Question 7
    12·1 answer
  • Triangles ABC and DEF are similar. Find the length of side DF
    10·1 answer
  • Look at the diagram. If ST = 15 and RT = 40, then RS =_____.<br><br> R———————S——————T
    11·1 answer
  • ASAP
    11·1 answer
  • Water runs from a faucet into a bucket at a steady rate. After 4 seconds, there are 32 ounces of water in the bucket. Write an e
    7·1 answer
  • Robin can clean 72 rooms in 6 days.<br> How many rooms can Robin clean in 9 days? pls pls help
    5·2 answers
  • Mariana drives for 920 hour at a constant speed of 52 miles per hour.Write the amount of time Mariana drives as a decimal.
    6·1 answer
  • Select the correct answer.
    13·1 answer
  • Ms. Soffer paid $42. 75 for 9 boxes of gummies for the state test last year. This year she will need to order 13 boxes of gummie
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!