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3 years ago

14

A rectangular prism has a volume of 97.5 cubic inches. The length is 5 inches and the height is 3 inches. What is the width of t

he rectangular prism?

1 answer:

const2013 [10]3 years ago

3 0

Answer:

6.5

Step-by-step explanation:

3X5=15

97.5/ 15 = 6.5

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A dog that weighs 14 pounds should eat 1 5/8 cups of a certain type of dog food per day. How much of the same type of dog food s

stira [4]

1 5/8 = 13/8
(13/8)/14 = .116 or 13/112
.116 (26) = 3.016 or 169/56

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3 years ago

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A class has 35 students, of which 16 are male and 19 are female. If 6 of the students are selected at random to form a committee

madreJ [45]

Answer:

The probability of choosing exactly 2 male and 4 female students = $\frac{\binom{16}{2}\times \binom{19}{4}}{\binom{35}{6}}$

Step-by-step explanation:

We are given that a class has 35 students

Number of male=16

Number of female=19

We have to choose 6 students for committee

We have to find the probability that exactly 2 male students are selected

Probability=P(E)= $\frac{number\;of\;favorable\;cases}{total\;number\;of\;cases}$

If we have to choose total 6 student in which 2 male and 4 female

Combination formula:

$nC_r=\frac{n!}{r!(n-r)!}$

Using the formula

The probability of choosing exactly 2 male and 4 female students = $\frac{\binom{16}{2}\times \binom{19}{4}}{\binom{35}{6}}$

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3 years ago

Write a paragraph proof that 1+1=2<br> (Fun fact: it took over 72 pages just to prove that 1+1=2)

Irina18 [472]

Answer:

The theorem here is essentially that

if a and 3 are disjoint sets with

exactly one element each, then their

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Peano shows that it's not hard to

produce a useful set of axioms that

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3 years ago

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Simplify radical -81

Solnce55 [7]

Step-by-step explanation:

-81

$\sqrt{ - 1} \: \times \sqrt{81}$

$\sqrt{ - 1} = i$

$i \times \sqrt{9 {}^{2} }$

$i \times 9$

$9i$

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3 years ago

The sum of 3 consecutive even integers is 18<br>

larisa [96]

Answer:

4,6,8

Step-by-step explanation:

Let x = 1st even integer

x+2 =2nd even integer

x+4 =3nd even integer

x+ x+2 + x+4 = 18

Combine like terms

3x+6 = 18

Subtract 6 from each side

3x+6-6=18-6

3x= 12

Divide by 3

3x/3 =12/3

x = 4

x+2 = 6

x+4 = 8

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3 years ago