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Kobotan [32]
3 years ago
7

A jar contains 18 apple lollipops, 7 strawberry lollipops, and 10 grape lollipops. Irvin randomly selects a lollipop, gives it t

o his brother, and then randomly selects another lollipop for himself.
What is the probability that Irvin selected a grape lollipop for his brother and an apple lollipop for himself?

Write your answer as a percent. Round to the nearest tenth of a percent.
Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
6 0

Answer:

15.1%

Step-by-step explanation:

So we need to find the probabilities and multiple them to get our answer. Our first probability is out of 35 lollipops total how likely is it that Irvin picks a grape.

10/35

But then Irvin gets another lollipop for himself. What is the likelihood he will get a apple lollipop out of the 34 (we removed one to give to his brother).

18/34.

So our final equation is

10/35 x 18/34=0.151 (rounded)

15.1%

andrey2020 [161]3 years ago
4 0
First  choice is  "1 of 10 grape lollipops from 35 lollipops"  
The probablity is 10/35 = 2/7 
Second choice is  "1 of 18 apple lollipops from 34 lollipops"  
So probablity is 18/34 = 9/17 
Between this is  AND so you have to these probablities multiply:
P(A) = 2/7 * 9/17 = 18/119 
P(A) = 18/119 * 100% = 1800/119 %
It is approximaly 15,1 %. 
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Answer:

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Step-by-step explanation:

3 0
2 years ago
A farmer has 520 feet of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one s
Setler [38]

Answer:

310\text{ feet and }210\text{ feet}

Step-by-step explanation:

GIVEN: A farmer has 520 \text{ feet} of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is 310 \text{ feet}.

TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.

SOLUTION:

Let the length of rectangle be x and y

perimeter of rectangular pen =2(x+y)=520\text{ feet}

                                                x+y=260

                                               y=260-x

area of rectangular pen =\text{length}\times\text{width}

                                       =xy

putting value of y

=x(260-x)

=260x-x^2

to maximize \frac{d \text{(area)}}{dx}=0

260-2x=0

x=130\text{ feet}

y=390\text{ feet}

but the dimensions must be lesser or equal to than that of barn.

therefore maximum length rectangular pen =310\text{ feet}

                              width of rectangular pen =210\text{ feet}

Maximum area of rectangular pen =310\times210=65100\text{ feet}^2

Hence maximum area of rectangular pen is 65100\text{ feet}^2 and dimensions are 310\text{ feet and }210\text{ feet}

5 0
2 years ago
Easy points let’s gooo
Alina [70]

Answer:

12 x 10 = 120

120 divided by 2 = 60

Formula of a triangle:

B(base) x H(height) x 1/2(basically dividing by 2)

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Step-by-step explanation:

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As a fraction, 69:75 would become 96/75
As a decimal 69:75 would become 0.92
As a percentage 69:75 would become 92%
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3 0
3 years ago
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