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Sunny_sXe [5.5K]
2 years ago
8

Billy has a gallon of paint. He us going to pour it into a paint tray that measures 10 inches wide, 14 inches long and 4cm deep.

What will happen
Mathematics
1 answer:
erica [24]2 years ago
3 0

Answer:

Tray will overflow with 10.53\ \text{inch}^3 of paint.

Step-by-step explanation:

Dimensions the tray is 10 inch by 14 inch by 4 cm

1\ \text{cm}=\dfrac{1}{2.54}\ \text{inch}

4\ \text{cm}=\dfrac{4}{2.54}\ \text{inch}

Volume the tray can hold is

10\times 14\times \dfrac{4}{2.54}\ \text{in}^3

1\ \text{inch}^3=\dfrac{1}{231}\ \text{gallon}

The volume of paint Billy has is 1\ \text{gallon}

Difference in the volume of paint and volume of tray in cubic inches is

\left(1-\dfrac{10\times14\times\dfrac{4}{2.54}}{231}\right)231=10.53\ \text{inch}^3

The tray will overflow with 10.53\ \text{inch}^3 of paint.

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In the following​ exercise, does the problem involve permutations or​ combinations? Explain your answer. One hundred people purc
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Answer: Permutation is involved , since order of prizes matters.

The number of different ways the prizes can be​ awarded =95060

Step-by-step explanation:

Given : Total number of people purchase lottery tickets =100

The number of prizes = 3

Since each prize can be claimed by only one person.

So order matters here, there for we use permutations .

The number of permutations of n objects taken m at a time is given by :-

^nP_m=\dfrac{n!}{(n-m)!}

Then, the number of different ways the prizes can be​ awarded :-

^{100}P_{3}=\dfrac{100!}{(100-3)!}=\dfrac{100!}{97!}\\\\=100\times98\times97=950600

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3 years ago
Pls Help asap
Alla [95]

Answer:

1. Q1=7 Q3=12 IQR=5

2. Q1=8 Q3=33 IQR=25

3. Q1=4.5 Q3=10 IQR=5.5

Step-by-step explanation:

hope this helps have a good day or night

3 0
2 years ago
How do you completely factor:<br><br> 2x^3 – 5x^2 – 22x + 55
DochEvi [55]

Answer:(X^2-11)(2X-5)

Step-by-step explanation:

2x^3-5x^2-22x+55

x^2(2x-5)-11(2x-5)

(X^2-11)(2X-5)

8 0
3 years ago
WRITING IN MATH
mrs_skeptik [129]
As a waitress, at the end of the night you have to tip 3% (same as 1/33) of your total earnings to the bussers and hosts.

equation:
total earnings (E) times (3% or 1/33)= money tipped to bussers and hosts(T).

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8 0
3 years ago
A college student with a bachelors degree in nursing from an accredited institution has an 86.74% chance of getting hired full t
Vladimir79 [104]

Answer:

86.74% probability of a Madonna University nursing student getting hired within 6 months of graduation given that they complete their degree here.

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

Compute the probability of a Madonna University nursing student getting hired within 6 months of graduation given that they complete their degree here.

In this problem, we have that:

Event A: Completing their degree there.

There is a 34.72% chance of a student interested in a nursing degree not making it through the program.

So 100 - 34.72% = 65.28% = 0.6528 probability of completing their degree. So P(A) = 0.6528.

Event B: Getting hired

86.74% chance of getting hired full time in a hospital setting within 6 months of graduation.

Completing their degree and getting hired:

P(A \cap B) = 0.6528*0.8674

Probability:

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.6528*0.8674}{0.6528} = 0.8674

86.74% probability of a Madonna University nursing student getting hired within 6 months of graduation given that they complete their degree here.

5 0
3 years ago
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