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3 years ago

PLEASE HELP!!

Mathematics

1 answer:

aev [14]3 years ago

8 0

Answer:

D. No, because $P(A|B)=0.22$ and the $P(A) = 0.53$ are not equal.

Step-by-step explanation:

Given:

Probability of doing yard work is, $P(A)=53\%=0.53$

Probability of raining, $P(B)=68\%=0.68$

Probability of doing yard work and it raining is, $P(A\cap B)=15\%=0.15$

Now, two events A and B are independent if,

$P(A|B)=P(A);P(B|A)=P(B)$

Conditional probability of event A given that B has occurred is given as:

$P(A|B)=\frac{P(A\cap B}{P(B)}\\P(A|B)=\frac{0.15}{0.68}=0.22$

So, $P(A|B)=0.22\ and\ P(A)=0.53$

Since, $P(A|B)\ne P(A)$ , A and B are not independent events.

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A cone has A height of 10.3 inches in the diameter of 6 inches what is the volume of the cone

ahrayia [7]

Answer:

V=97.08

Step-by-step explanation:

The formula for the volume of a cone is V= 1/3 pi (r)^2 (h)

To find the radius divide the diameter by 2. 6/2=3

Plugin: V=1/3 pi(3)^2(10.3)=97.08

3 0

3 years ago

Given P space equals space P subscript 0 space plus space rho g h, your objective is to determine the uncertainty of P by measur

son4ous [18]

Answer:

the g's contributing term for the overall uncertainty of P is $dP_g = [\frac{dg}{g}]$

Step-by-step explanation:

From the question we are told that

The pressure is $P = P_o + \rho gh$

The first step in determining the uncertainty of P in by obtaining the terms in the equation contributing to it uncertainty and to do that we take the Ln of both sides of the equation

$ln P = lnP_o + ln(\rho gh )$

=> $ln P = lnP_o + ln \rho + ln g + ln h$

Then the next step is to differentiate both sides of the equation

$\frac{d(ln P)}{dP} = \frac{d(ln P_o)}{dP_o} + \frac{d(ln \rho)}{d\rho} +\frac{d(ln g)}{dg} + \frac{d(ln h)}{dh}$

=> $\frac{dP}{P} = \frac{dP_o}{P_o} + \frac{d \rho}{\rho} +\frac{d g}{g} + \frac{d h}{h}$

We asked to obtain the contribution of the term g to the uncertainty of P

This can deduced from the above equation as

$dP_g = [\frac{dg}{g}] P$

8 0

3 years ago

Need help with this

zepelin [54]

Answer:

4.2 is your answer rounded to the nearest tenth.

Step-by-step explanation:

8/17 is equal to 0.470588235294.

In order to make an equivalent fraction with 9 as the denominator, divide 9 by 17 to get 0.529411764705.

Then, multiply 0.529411764705 by 8 to get 4.235294117647.

4.235294117647 is our <em>u</em><em>.</em>

Simplified to the nearest tenth it is 4.2.

we can double check our answer by taking 4.235294117647 divided by 9. You should get 0.470588235294.

Hope this helps!

5 0

2 years ago

Which of the following sets of lengths can Sean use to make a right triangle?

love history [14]

If we know your Pythagorean Triples we can immediately recognize that the last choice is a right triangle:

8² + 15² = 17²

If you don't know your Pythagorean Triples, it's worth learning the first few off the list because teachers use them in problems all the time. But for now let's just exhaustively check the Pythagorean Theorem for each triangle. We don't have to multiply everything out; we can analyze the common factors. If two have a common factor that the third one doesn't have, there's no way for the Pythagorean Theorem to add up.

Clearly 5²+15² is a multiple of 5 but 18² isn't so that one isn't a right triangle.

6²+12² is a multiple of 6, 16² isn't a multiple of 6, not an RT.

15²-5² is a multiple of 5, 13² isn't, no joy.

8²+15² = 64 + 225 = 289 = 17² -- that's a real right triangle, a valid Pythagorean Triple.

5 0

3 years ago

What does y = 5/4x - 2 y = -1/4x + 19 equal

emmasim [6.3K]

Answer:

The solution is at the point (14, 15.5)

Step-by-step explanation:

I graphed the equations on the graph below.

If this answer is correct, please make me Brainliest!

5 0

3 years ago