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pav-90 [236]
3 years ago
13

What happens to the volume of a rectangular prism when its length is tripled?

Mathematics
1 answer:
earnstyle [38]3 years ago
3 0

The volume of a rectangular prism is represented by the following equation:

V=wlh

where w is the width , l is the length, and h is the height

Replace l with 3l since the length is tripled

V_0=w(3l)h

=3(wlh)

From this, we see that this new volume is 3x larger than the original. Thus, the volume is tripled when its length is tripled.

Let me know if you need any clarifications, thanks!

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Billy had 55 stamps in his collection. Billy’s older brother Tommy had 73 stamps in his collection. How many stamps did the two
KengaRu [80]

Answer:

128

Step-by-step explanation:

Billy has 55 stamps and his brother Tommy has 73. Add 73 and 55 together. 55+73=128

6 0
2 years ago
The scale of a map is 1 inch = 25 miles. How many miles does 1.25 inches represent?
otez555 [7]
31.25 miles because I don’t know
7 0
3 years ago
Read 2 more answers
If we sample from a small finite population without​ replacement, the binomial distribution should not be used because the event
seropon [69]

Answer:

5/4324 = 0.001156337

Step-by-step explanation:

To better understand the hyper-geometric distribution consider the following example:

There are 100 senators in the US Congress, and suppose 60 of them are republicans  so 100 - 60 = 40 are democrats).

We extract a random sample of 30 senators and we want to answer this question:

What is the probability that 10 senators in the sample are republicans (and of course, 30 - 10 = 20 democrats)?

The answer using the h-g distribution is:

\large \frac{\binom{60}{10}\binom{100-60}{30-10}}{\binom{100}{30}}=\frac{\binom{60}{10}\binom{40}{20}}{\binom{100}{30}}

Now, imagine there are 56 senators (56 lottery numbers), 6 are republicans (6 winning numbers and 50 losers), we extract a sample of 6 senators (the bettor selects 6 numbers). What is the probability that 4 senators are republicans? (What is the probability that 4 numbers are winners?).

<em>As we see, the situation is exactly the same,</em> but changing the numbers. So the answer would be

\large \frac{\binom{6}{4}\binom{56-6}{6-4}}{\binom{56}{6}}=\frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}

Now compute each combination separately:

\large \binom{6}{4}=\frac{6!}{4!2!}=15\\\\\binom{50}{2}=\frac{50!}{2!48!}=1225\\\\\binom{50}{6}=\frac{50!}{6!44!}=15890700

and now replace the values:

\large \frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}=\frac{15*1225}{15890700}=\frac{18375}{15890700}=\frac{5}{4324}

and that is it.

If the decimal expression is preferred then divide the fractions to get 0.001156337

6 0
3 years ago
Find the value of the variable and the measure of each labeled angle.
Brums [2.3K]

Answer:

x+10

Step-by-step explanation:

4 0
3 years ago
A rabbit can run 35 miles per hour.A fox can run 21 miles in half an hour.Which animal is faster and how much
Pachacha [2.7K]

Answer:


Step-by-step explanation:

The fox is faster. Because he is a fox.


Also because he can (assuming he doesn't fatigue or get caught by hounds in the second half of the hour) run 42 miles in 1 hour.


The rabbit runs 35 miler per hour.


Velocity = Distance/time


Fox velocity = 21 miles/0.5 hour


Dividing by 0.5 is the same as multiplying by 2, so...


Fox velocity = 42 miles/hour

6 0
3 years ago
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