All categories

3 years ago

Find the volume of this cylinder. Use 3 for T.

Mathematics

1 answer:

DIA [1.3K]3 years ago

3 0

Answer:

$volume = \pi {r}^{2} h \\ = 3 \times {5}^{2} \times 12 \\ = 900 \: {ft}^{3}$

You might be interested in

Solve (t-5) = 2 where t is a real number.<br> Simplify your answer as much as possible.

In-s [12.5K]

Answer:

Step-by-step explanation:

T-5=2 2+5=7

7 0

3 years ago

Find an ordered pair (x, y) that is a solution to the equation.<br> -x+4y= 2

brilliants [131]

Answer:

x=0 y=0.5

Step-by-step explanation:

8 0

2 years ago

Please help i don't understand this question

Lina20 [59]

Answer:

Pretty sure it would be b because it keeps scaling as the x axis continues with time

4 0

3 years ago

Tom brought 7/8 gallons of water to a party and his friends drank2/3 of it. How many gallons of water did they drink?

natka813 [3]

In plain and short, what's 2/3 of 7/8? well, is just their product.

$\bf \cfrac{7}{8}\cdot \cfrac{2}{3}\implies \cfrac{7\cdot 2}{8\cdot 3}\implies \cfrac{14}{24}\implies \stackrel{simplified}{\cfrac{7}{12}}$

5 0

3 years ago

nventing is a difficult way to make money. Only 5% of new patents earn a substantial profit. A certain city has just had30 indep

Arlecino [84]

Answer:

$P(X \geq 2) = 1-P(X$

And we can find the individual probabilities using the probability mass function and we got:

$P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146$

$P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389$

And replacing we got:

$P(X \geq 2) = 1-P(X$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=30, p=0.05)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

For this case we want this probability:

$P(X \geq 2)$

And we can use the complement rule and we got:

$P(X \geq 2) = 1-P(X$

And we can find the individual probabilities using the probability mass function and we got:

$P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146$

$P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389$

And replacing we got:

$P(X \geq 2) = 1-P(X$

3 0

3 years ago