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Luba_88 [7]
3 years ago
5

A metal pipe is 33 3 /4 inches long. If you cut the pipe into pieces that are each 3 3 /4 inches long, how many total pieces wil

l you have?
Mathematics
1 answer:
Nezavi [6.7K]3 years ago
6 0
3 3/4 = 15/4

We have to deal with each rod since they are not combined.

24/(15/4) = 24(4/15) = 32/5 = 6 2/5

The 2/5 is waste.

6(32) = 192 pieces
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You roll two fair dice, one green and one red. (a) Are the outcomes on the dice independent? Yes No (b) Find P(1 on green die an
ASHA 777 [7]

Answer:

a

  Yes

b

 P(1 \& 5) = \frac{1}{36}

c

 P(5 \& 1) = \frac{1}{36}

d

 P(5 \& 1 | 1\& 5  ) = \frac{1}{18}

Step-by-step explanation:

From the question we are told that

     Two fair dice, one green and one red were rolled

Generally the  outcomes on the dice independent because the outcome on the first dice is not affected by the second die

Generally the  probability of getting a 1  on a dice rolled is  P(1) =  \frac{1}{6}

the  probability of getting a 5 on a dice rolled is  P(5) =  \frac{1}{6}

Generally the probability of P(1 on green die and 5 on red die) is mathematically represented as

         P(1 \& 5) = \frac{1}{6}  *\frac{1}{6}

         P(1 \& 5) = \frac{1}{36}

Generally the probability of P(5 on green die and 1 on red die) is mathematically represented as

          P(5 \& 1) = \frac{1}{6}  *\frac{1}{6}

         P(5 \& 1) = \frac{1}{36}

Generally the probability of P((1 on green die and 5 on red die) or (5 on green die and 1 on red die)) is mathematically represented as

          P(5 \& 1 | 1\& 5  ) = \frac{1}{36} + \frac{1}{36}

         P(5 \& 1 | 1\& 5  ) = \frac{1}{18}

8 0
3 years ago
PLEASE PLEASE HELP PLEASEEEEEEEEEEEEEEE
denis-greek [22]
X is greater than 4
3 0
3 years ago
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If f(x)=(1/8)(8^x) what is f(3)?<br> A. 1/512<br> B. 1/64<br> C. 512<br> D. 64
cestrela7 [59]
Hi there!

Let's solve this problem step by step!
f(x) =  \frac{1}{8} (8 {}^{x})

To find f(3) we must substitute x = 3 into the formula.
f(3) =  \frac{1}{8} (8 {}^{3} )

Now we use PEMDAS (Parenthesis, exponents, multiply, divide, add, subtract) to find our answer.

Work out the exponents inside the parenthesis first.
f(3) =  \frac{1}{8}  \times 512

And finally multiply.
f(3) =  \frac{1}{8}  \times  \frac{512}{1}  =  \frac{512}{8}  = 64

Hence, the answer is D. 64.
~ Hope this helps you!
4 0
3 years ago
Read 2 more answers
A restaurant adds a 20% tip to the bills of parties of 6 or more people. Suppose a server waits on five such tables. The bill
castortr0y [4]

Answer:

$218.70

Step-by-step explanation:

You need to first convert the percentage to the decimal.

20% = 0.2

Now, you need to find 20% of each bill by multiplying each bill by 0.2.

0.2(185.45) + 0.2(205.20) + 0.2(195.05) + 0.2(245.80) + 0.2(262.00)

Because of the distributive property, you can add up the bills and multiply the sum by 0.2.

0.2(185.45 + 205.20 + 195.05 + 245.80 + 262.00)

0.2(1093.50)

218.7

The waiter made $218.70 in tips.

4 0
3 years ago
If you borrow $225 for eight years at an interest rate of 6% how much interest will you pay ?
weeeeeb [17]

Answer:$58.55

Step-by-step explanation:


4 0
3 years ago
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