HELP ME YALL I HAVE 20 MINS TO DO THIS

The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 242 cubic units.

enyata [817]

Correct question:

The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 242 cubic units.

Answer:

6 units

Step-by-step explanation:

Let, radius, r = x

Height, h = 3x

Volume, V = 24π

Volume of cylinder = =πr²h

24π = π * x² * 3x

24π = π* 3x³

24 = 3x³

24 / 3= x³

8 = x³

x = 2

Height, h = 3x

h = 3(2) = 6 units

6 0

3 years ago

Use the ratio of a 30-60-90 triangle to solve for the variables. Make sure to simplify radicals. Leave your answers as radicals

Lelu [443]

Answer:

A. v = 19√3.

B. u = 38.

Step-by-step explanation:

The following data were obtained from the question:

Angle θ = 60°

Adjacent = 19

Opposite = v

Hypothenus = u

A. Determination of the value of 'v'

The value of v can be obtained by using Tan ratio as shown below:

Angle θ = 60°

Adjacent = 19

Opposite = v

Tan θ = Opposite /Adjacent

Tan 60 = v/19

Cross multiply

v = 19 × Tan 60

Tan 60 = √3

v = 19 × √3

v = 19√3

Therefore, the value of v is 19√3

B. Determination of the value of 'u'

The value of u can be obtained by using cosine ratio as shown below:

Angle θ = 60°

Adjacent = 19

Hypothenus = u

Cos θ = Adjacent /Hypothenus

Cos 60 = 19/u

Cos 60 = 1/2

1/2 = 19/u

Cross multiply

u = 2 × 19

u = 38

Therefore, the value of u is 38.

6 0

3 years ago

PLZ HELP WILL GIVE BRAINLIEST

artcher [175]

Answer:

C

Step-by-step explanation:

7 0

3 years ago

Lori is running in a marathon, which is 26.2 miles long. So far, she has run one-tenth of the marathon. How far has Lori run

Mila [183]

Answer:

lori has run 2.62 miles

Step-by-step explanation:

Do 26.2/10

4 0

2 years ago

A tattoo enthusiast website claims that :

KATRIN_1 [288]

Answer:

The probability that a person is a Millennial given that they have tattoos is 0.5069 (50.69%) or about 0.51 (51%).

Step-by-step explanation:

We have here a case where we need to use Bayes' Theorem and all conditional probabilities related. Roughly speaking, a conditional probability is a kind of probability where an event determines the occurrence of another event. Mathematically:

$\\ P(A|B) = \frac{P(A \cap B)}{P(B)}$

In the case of the Bayes' Theorem, we have also a conditional probability where one event is the sum of different probabilities.

We have a series of different probabilities that we have to distinguish one from the others:

The probability that a person has a tattoo assuming that is a Millennial is:

$\\ P(T|M) = 0.47$

The probability that a person has a tattoo assuming that is of Generation X is:

$\\ P(T|X) = 0.36$

The probability that a person has a tattoo assuming that is of Boomers is:

$\\ P(T|B) = 0.13$

The probability of being of Millennials is:

$\\ P(M) = 0.22$

The probability of being of Generation X is:

$\\ P(X) = 0.20$

The probability of being of Boomers is:

$\\ P(B) = 0.22$

Therefore, the probability of the event of having a tattoo P(T) is:

$\\ P(T) = P(T|M)*P(M) + P(T|X)*P(X) + P(T|B)*P(B)$

$\\ P(T) = 0.47*0.22 + 0.36*0.20 + 0.13*0.22$

$\\ P(T) = 0.204$

For non-independent events that happen at the same time, we can say that the probability of occurring simultaneously is:

$\\ P(M \cap T) = P(M|T)*P(T)$

Or

$\\ P(T \cap M) = P(T|M)*P(M)$

But

$\\ P(M \cap T) = P(T \cap M)$

Then

$\\ P(M|T)*P(T) = P(T|M)*P(M)$

We are asked for the probability that a person is a Millennial given or assuming that they have tattoos or P(M | T). Solving the previous formula for the latter:

$\\ P(M|T)*P(T) = P(T|M)*P(M)$

$\\ P(M|T) = \frac{P(T|M)*P(M)}{P(T)}$

We have already know that

$\\ P(T|M) = 0.47\;P(M) = 0.22\;and\;P(T) = 0.204$ .

Therefore

$\\ P(M|T) = \frac{0.47*0.22}{0.204}$

$\\ P(M|T) = 0.50686 \approx 0.51$

Thus, the probability that a person is a Millennial given that they have tattoos is 0.5069 (50.69%) or about 0.51 (51%).

5 0

3 years ago