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netineya [11]
3 years ago
7

If P(A)= 0.3 and P(B|A)=0.9 what is P(A B)?

Mathematics
1 answer:
Serga [27]3 years ago
5 0
You seem to be missing a symbol, which I assume is intersection \cap.

From the definition of conditional probability,

\mathbb P(B|A)=\dfrac{\mathbb P(B\cap A)}{\mathbb P(A)}\implies0.9=\dfrac{\mathbb P(B\cap A)}{0.3}\implies\mathbb P(B\cap A)=0.27
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The diameter of a cylinder is 3yd the height is 8yd
nalin [4]

Answer:

volume= 56.55 yds

Step-by-step explanation:

If you're looking for the volume, the formula is V=\pi r^{2} h.

Diameter is two times the radius (radius is half of the diameter) so the radius of the cylinder would be 1.5 yds.

After you've gotten that information, plug those values into the formula.

V=\pi 1.5^{2} 8

Solve 1.5^2 first. Then multiply that value by pi. Then multiply that value by the height which is 8yds.

Volume=56.55yds rounded to the nearest hunderedth.

8 0
3 years ago
Jasmine bought a pennant (triangle) of the favorite baseball team. If the base is 16 inches and height is 24 inches, how much ar
KATRIN_1 [288]
D. 192in^2

This would be a simple area problem with a triangle. REMEMBER THIS EQUATION: a=bh*1/2 (b for base and h for height, these are multiplied together then that answer is halved out.)

So we just need to plug in our values into the equation, so the equation would look like a= (16)*(24)*1/2. 16 times 24 would then give you 384, you could either divide by 2 or multiply by 0.5 to get the next answer, as long as your HALVING the answer.

So we have our bh value so now we can multiply by 1/2 which will give us 384*1/2 which leaves us with 192.

I have also attached a photo of doing a longer(ish) way than this, that also proves that this equation works. Either one will provide you an answer.

6 0
3 years ago
18 is 60% of what number
LuckyWell [14K]
Let n be the number 18=60% of n
18=0.6n
18/0.6=n
30=n
3 0
3 years ago
Read 2 more answers
A psychological experiment was conducted to investigate the length of time (time delay) between the administration of a stimulus
aleksklad [387]

Answer:

The P-value of this sample is 0 and is less than the significance level (0.05), so the effect is significant and the null hypothesis is rejected.

As there is significant evidence to reject H_0: \mu= 1.6, we can say that there is significant evidence to claim that the mean time delay for the hypothetical population of all persons who may be subjected to the stimulus differs from 1.6 seconds.

The significance level for this test is 0.05.

Step-by-step explanation:

In this case, we want to prove if there is significant evidence that the mean differs from 1.6 seconds. That is the same as having evidence to reject the the hypothesis H_0:\mu= 1.6 (the null hypothesis always have the equal sign).

We have to test the null hypothesis

H_0:\mu= 1.6

The significance level for this test is 0.05

Calculation of the t-statistic:

t=\frac{M-\mu}{s/\sqrt{n}} =\frac{2.2-1.6}{0.57/\sqrt{36}} =\frac{0.6}{0.063}= 9.47

If we look up in a t-table for t=9.47 and df=(36-1)=35, we get this value appears with a probability of zero. A large number like that is very unlikely to happen.

The P-value of this sample is 0 and is less than the significance level (0.05), so the effect is significant and the null hypothesis is rejected.

As there is significant evidence to reject H_0: \mu= 1.6, we can say that there is significant evidence to claim that the mean time delay for the hypothetical population of all persons who may be subjected to the stimulus differs from 1.6 seconds.

6 0
3 years ago
Daisy purchases a gym membership.She pays a signup fee and a monthly fee off 13$.After 4 months, she has paid a total of$69.Use
bulgar [2K]

Answer:

The signup fee is $17

Step-by-step explanation:

we know that

The equation in point slope form is equal to

y-y1=m(x-x1)

where

m is the slope or unit rate of the linear equation

(x1,y1) is a ordered pair of the line

Let

x -----> the number of months

y -----> the total cost of a gym membership

In this problem we have

The slope of unit rate is equal to

m=\$13\ per\ month

The ordered pair is

(x1,y1)=(4,69)

substitute

y-69=13(x-4) ----> equation in point slope form

Convert to slope intercept form

y-69=13x-52

y=13x-52+69

y=13x+17 ---> equation in slope intercept form

The y-intercept is the signup fee (value of y when the value of x is equal to zero)

therefore

The signup fee is $17

4 0
3 years ago
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