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irinina [24]
3 years ago
9

PA) = 0.20 AB) = 0.25 PA and B) = 0.10 What is PBA)?

Mathematics
1 answer:
harina [27]3 years ago
7 0

Answer:

C. 0.5

Step-by-step explanation:

Use formula for conditional probability

P(B|A)=\dfrac{P(A\cap B)}{P(A)}

Given:

P(A\cap B)=0.1\\ \\P(A)=0.2,

then

P(B|A)=\dfrac{0.1}{0.2}=\dfrac{1}{2}=0.5

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9) In the standard co-ordinate system, which of the following points in the greatest distance from origin? A. (-4, -1) B. (-3, 3
ludmilkaskok [199]

The point with the greatest distance to the origin is given by:

B. (-3, 3).

<h3>What is the distance between two points?</h3>

Suppose that we have two points, (x_1,y_1) and (x_2,y_2). The distance between them is given by:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

The origin is given by point (0,0), hence the distance of a point (x,y) to the origin is given by:

D = sqrt(x² + y²).

Hence the distances for each point given in the problem are:

  • A. Distance = sqrt((-4)² + (-1)²) = sqrt(17).
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Hence option B has the greatest distance.

More can be learned about the distance between two points at brainly.com/question/18345417

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7 0
1 year ago
(Multiying by a unit fraction. Find the product mentally. (5.6) × 1/8=
Ipatiy [6.2K]

Step-by-step explanation:

(5.6) × 1/8

(5.6)  \cdot   \frac{1}{8}

Here the unit fraction is 1/8

multiply 5.6 times 1

so its 5.6. then divide the decimal by 8

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so 56 divide by 8 is 7

we have decimal point 1 number to the left

so we move decimal point 2 place left

Hence 5.6 divide by 8 is 0.7

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Answer: 0.7

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3 years ago
Weights of cars passing over a bridge part 2<br>​
DaniilM [7]

Step-by-step explanation:

The solution to this problem is very much similar to your previous ones, already answered by Sqdancefan.

Given:

mean,  mu = 3550 lbs (hope I read the first five correctly, and it's not a six)

standard deviation, sigma = 870 lbs

weights are normally distributed, and assume large samples.

Probability to be estimated between W1=2800 and W2=4500 lbs.

Solution:

We calculate Z-scores for each of the limits in order to estimate probabilities from tables.

For W1 (lower limit),

Z1=(W1-mu)/sigma = (2800 - 3550)/870 = -.862069

From tables, P(Z<Z1) = 0.194325

For W2 (upper limit):

Z2=(W2-mu)/sigma = (4500-3550)/879 = 1.091954

From tables, P(Z<Z2) = 0.862573

Therefore probability that weight is between W1 and W2 is

P( W1 < W < W2 )

= P(Z1 < Z < Z2)

= P(Z<Z2) - P(Z<Z1)

= 0.862573 - 0.194325

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You received a ​$150 gift certificate to a clothing store. The store sells​ T-shirts for ​$17 and dress shirts for ​$26. You wan
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Answer:

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Step-by-step explanation:

6 0
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