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zaharov [31]
3 years ago
7

A company has budgeted 5 1/4 hours to complete a project, with 1/3 of the time spent on research. How much time does the company

plan to spend on research? Express your answer as a mixed number.
Mathematics
1 answer:
elena-s [515]3 years ago
7 0

Given that a company budgeted 5 1/4 hours to complete a project, determine how much time they spent on research if they spent 1/3 of the total budget.

First, convert the budget from hours into minutes.

5 1/4 hours = 315 minutes

1 hour = 60 min

1/4 hour = 15 min

60 x 5 = 300

300 + 15 = 315

Then, divide the minutes by 3 or multiply it by 1/3.

315 / 3 = 105

315 x 1/3 = 105

Lastly convert to a mixed number.

1 3/4 hour

Thus, the company plans to spend 1 3/4 hours or 1 hour and 45 minutes on research.

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Venn diagram ( attached image )
alexandr402 [8]

Assessing the given Venn diagram and the data related to it, we can answer the required question:

Q1. How many people were surveyed = 86.

Q2. What is the probability that a customer chosen at random:

a) takes salt P(S) = 46/85.

b) takes both salt and vinegar P(S ∩ V) = 13/85.

c) takes salt or vinegar or both P(S ∪ V) = 66/85.

The number of people who take salt chips n(S) = 46.

The number of people who take vinegar chips n(V) = 33.

The number of people who takes both n(S ∩ V) = 13.

The number of people who take neither n((S ∪ V)') = 19.

Therefore, the total number of people surveyed n(U) = n(S) + n(V) - n(S ∩ V) + n((S ∪ V)') = 46 + 33 - 13 + 19 = 85.

The number of people who takes salt or vinegar or both n(S ∪ V) = n(U) - n((S ∪ V)') = 85 - 19 = 66.

The probability that a customer chosen at random takes salt P(S) = n(S)/n(U) = 46/85.

The probability that a customer chosen at random takes both salt and vinegar P(S ∩ V) = n(S ∩ V)/n(U) = 13/85.

The probability that a customer chosen at random takes salt or vinegar or both P(S ∪ V) = n(S ∪ V)/n(U) = 66/85.

Learn more about Venn Diagrams at

brainly.com/question/24713052

#SPJ10

7 0
2 years ago
Can anyone help me out with this question? It doesn’t have to be a long answer, just a couple sentences. Thanks! ❤️
s2008m [1.1K]

Answer:

Step-by-step explanation:

I think both are the same because you have equations in the formula and what ever you do on one side you do to the other.

6 0
3 years ago
I need help please???!
Usimov [2.4K]

Answer:

6x-12

Step-by-step explanation:

3 0
3 years ago
Find the sum of 301 + 173 + 427 using mental math and the associative property of addition. Show how you can use the property to
tatuchka [14]
Mental math and associative property of addition
i look at 173 and 427 and see that 
73+27=100
i add now the 100(from 173)+400(from 427)+100(see above)=600
easy
600+301=901
7 0
3 years ago
Read 2 more answers
Answer this fast and I’ll make you Brainly
Vladimir79 [104]
Answer is 4 5+3=8 5-3=2 so then 8/2=4
5 0
3 years ago
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