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3 years ago

What is the volume of the composite figure?

Mathematics

1 answer:

saw5 [17]3 years ago

3 0

volume of a sphere is 4/3 * PI * r^3

r = 6

r^3 = 6^3 = 216

4/3 * 216 = 288

Volume = 288 PI in^3

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Sierra buys lunch in the cafeteria everyday. Lunch costs $2.00 each day, how much did she spend after 5 days.

Tcecarenko [31]

Answer:

$2.00 each day so $2.00 x 5 = $10

4 0

1 year ago

22. One kilometer is approximately 0.62 mile. What fraction represents this length?

bixtya [17]

Answer:

One kilometer is $\frac{31}{50}$ miles

Explanation:

To convert a decimal to a fraction:

1- Write the decimal as a fraction whose denominator is 1

2- Multiply both numerator and denominator by multiples of 10 to eliminate the decimal point

3- Simplify the fraction you have

Now, for the given problem:

The given decimal is 0.62, following the above steps:

Step 1:

$0.62 = \frac{0.62}{1}$

Step 2:

We have two digits after the decimal point, so to eliminate the decimal point, we will multiply the numerator and the denominator by 100

$0.62 = \frac{0.62}{1} * \frac{100}{100} = \frac{62}{100}$

Step 3:

We can note that, in the fraction obtained from step 2, both the numerator and the denominator are divisible by 2, so we simplify as follows:

$\frac{62}{100} = \frac{62/2}{100/2} =\frac{31}{50}$

Hope this helps :)

6 0

2 years ago

Let x be the amount of time (in minutes) that a particular San Francisco commuter must wait for a BART train. Suppose that the d

larisa [96]

Answer:

a) $P(X$

$P(X>14) = 1-P(X$

b) $P(7< X$

c) We want to find a value c who satisfy this condition:

$P(x$

And using the cumulative distribution function we have this:

$P(x$

And solving for c we got:

$c = 20*0.9 = 18$

Step-by-step explanation:

For this case we define the random variable X as he amount of time (in minutes) that a particular San Francisco commuter must wait for a BART train, and we know that the distribution for X is given by:

$X \sim Unif (a=0, b =20)$

Part a

We want this probability:

$P(X$

And for this case we can use the cumulative distribution function given by:

$F(x) = \frac{x-a}{b-a} = \frac{x-0}{20-0}= \frac{x}{20}$

And using the cumulative distribution function we got:

$P(X$

For the probability $P(X>14)$ if we use the cumulative distribution function and the complement rule we got:

$P(X>14) = 1-P(X$

Part b

We want this probability:

$P(7< X$

And using the cdf we got:

$P(7< X$

Part c

We want to find a value c who satisfy this condition:

$P(x$

And using the cumulative distribution function we have this:

$P(x$

And solving for c we got:

$c = 20*0.9 = 18$

3 0

2 years ago

Miguel draws △JKL with vertices J(−12, −1) , K(12, 9) , and L(12, −1) . Then he dilates the triangle with a scale factor of 6 to

Zina [86]

Ik I'm late but for my homies in k12: 36

3 0

3 years ago

A nature preserve opened with a population of 6 rabbits. After one year, the number of rabbits had doubled. The year after that,

mina [271]

Answer:And Explanation

Initially the number of rabbits in the preserve are: 6

After one year the population of rabbits are doubled this means that the population of rabbits at the end of one year is: 2×6=12

Again after one year the population of rabbits are doubled this mean that at the end of second year the population of rabbits are: 12×2=24

and at the end of third year the population of rabbits is: 24×2=48

Hence, the points are plotted as follows:

(0,6)

(1,12)

(2,24)

and (3,48)

We know that the y-intercept is the point where x-value is zero.

Hence, here we have y-intercept at (0,6

8 0

2 years ago