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lukranit [14]
4 years ago
15

Mr. Collins is constructing a fence around his property. He already has 25 sections up and plans to add 8 sections each Saturday

until he is finished. Find the total number of fence sections standing after 15 Saturdays.
Mathematics
1 answer:
AURORKA [14]4 years ago
4 0
Hi!

So, we know the Mr. Collins already has 25 sections. So let's write an equation.

25 + 8s
(s = Saturday)

Now our value for s in this equation is 15. So put in the value..

25 + 8 · 15
25 + 120
145

The answer is 145

Hope this helps! :)

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Five standard six-sided dice are rolled. We are told there is no three-of-a-kind, but there is a pair of dice that show the same
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The probability that after re-rolling these three dice, at least three of the five dice show the same value is  \frac{4}{9}

Of the three dice rolled, one may match the original pair and two are different, and this can occur three ways:

(\frac16 \times \frac56 \times \frac56 ) + ( \frac56 \times \frac16 \times \frac56 ) + ( \frac56 \times \frac 56 \times \frac 16 )  =  \frac {75}{216}

[ where \frac{1}{6} is the probability of matching the first two and \frac{5}{6} is the probability of not matching the first two ]

Or, two may match the original pair and one is different

( \frac16 \times \frac16 \times \frac 56 ) + ( \frac16 \times \frac56 \times \frac 16 ) + ( \frac56 \times \frac16 \times \frac16 )  = \frac {15}{216}

Or, all three may match the original pair

( \frac 16 \times \frac 16 \times \frac 16 )  = \frac {1}{216}

Or, all three may  be the same, but not match the original pair:

( \frac 56 \times \frac 16 \times\frac 16 )  =  \frac {5}{216}

[ where \frac{5}{6} is the probability of getting a new number and \frac{1}{6} is the probability of matching that new number ]

Adding these together: \frac {75}{216} + \frac {15}{216} + \frac 1{216} + \frac 5{216}  =  \frac {96}{216}  = \frac 49

To learn more about probability with the given link

brainly.com/question/11234923

#SPJ4

3 0
2 years ago
The volume of a cylinder with a circular base with a radius of 2 meters and prism height of 5 meters is
scZoUnD [109]

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62.8 m^{3} ; if you use 3.14 for pi

Step-by-step explanation:

The volume of a cylinder is v = \pi r^{2} h

\pi is 3.14, the radius is 2, and the height is 5

3.14 times 2 squared times 5 is 62.8

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A complex shape made of two rectangles. The bottom rectangle has measurements 3 meters by 4 meters. The top rectangle has measur
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Answer:

89

Step-by-step explanation:

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3 years ago
What is the perimeter of a square with a length of 57 meters?
shusha [124]

Answer:

228

Step-by-step explanation:

All four sides of a square are equal.

57×4=228

3 0
3 years ago
Mariam’s uncle donate 120 cans of juice and 90 packs of cheese cracker for the school picnic. Each student must receive the same
monitta

Answer:

8 students,

15 cans of juice and 11 packs of cheese cracker

Step-by-step explanation:

Mariam’s uncle donate 120 cans of juice and 90 - 2 = 88 packs of cheese cracker (eats two packs) for the school picnic.

Factor these numbers:

120=2\cdot 60=2\cdot 2\cdot 30=2\cdot 2\cdot 2\cdot15=2\cdot 2\cdot 2\cdot 3\cdot 5\\ \\88=2\cdot 44=2\cdot 2\cdot 22=2\cdot 2\cdot 2\cdot 11

The greatest common factor is

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4 0
3 years ago
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