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creativ13 [48]
3 years ago
12

Events A and B are such that P(A) = 3 8 , P(B) = 2 7 and P(A ∩ B) = 1 7 Work out P(A|B)

Mathematics
1 answer:
tigry1 [53]3 years ago
3 0

Answer:

\frac{17}{27}

Step-by-step explanation:

Given: Events A and B are such that P(A)=38\,,\,P(B)=27 and P(A∩B) = 17

To find: P(A|B)

Solution:

Probability refers to the chances of occurrence of any event.

An event is described as an outcome of a random experiment.

A random experiment is an experiment for which outcomes cannot be predicted.

P(A|B)= P(A∩B) ÷ P(B) = \frac{17}{27}

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Completing the sqaure <br> x^2+14x+34
DiKsa [7]

Answer:

-7-√15

Step-by-step explanation:

First move the constant to the right hand side and change it's sign

x^2+14x=-34

Then add (14/2)^2 or 7^2 to both sides

x^2+14x+49=-34+49

Then factor the expression

(x+7)^2=-34+49

Then solve (x+7)^2=15

You should get:

x=-√15-7

or

x=√15-7

7 0
3 years ago
Answer the questions below about the quadratic function.f(x) = -2x² - 4x
Juli2301 [7.4K]

We are given the function below;

f(x)=-2x^2-4x

PART A

We then proceed to find if the function has a minimum or maximum value. To find if the function has a minimum or maximum value. If the x^2 coefficient is positive, the function has a minimum. If it is negative, the function has a maximum.

ANSWER: From the above, we can see that x^2 is negative, hence the function has a maximum

PART B and C

To find the minimum or maximum value, we would plot the graph of the f(x). The graph can be seen below.

From the graph, the black point helps answer part A and part B.

ANSWER: The function's maximum value is f(x)=2.

This is the point where the slope of the graph is equal to zero

ANSWER: The maximum value then occurs at x= -1

We can also solve this by differentiating the function.

\begin{gathered} f(x)=-2x^2-4x \\ f^{\prime}(x)=-4x-4 \\ At\xi maxmum\text{ }f^{\prime}(x)=0 \\ -4x-4=0 \\ -4x=4 \\ x=-\frac{4}{4} \\ x=-1 \\ \therefore\text{The max}imum\text{ value occurs at x=-1} \\ \text{Inserting the value of x into the function, we have} \\ f(x)=-2(-1)^2-4(-1) \\ f(x)=-2+4 \\ f(x)=2 \\ \therefore\text{The function max}imum\text{ value is 2} \end{gathered}

5 0
1 year ago
translate this phrase into an algebraic expression 59 Less than twice a number use the variable n to represent the unknown numbe
Semenov [28]

To write the given phrase as an algebraic expression you can identify what does each part of the phrase mean:

59 less than: You have to substract 59 to the other part of the phrase

twice a number: as the number is n, twice a number is 2n

Then, you get the next algebraic expression:

2n-59

3 0
1 year ago
1/4(12)^2=<br> what is the answer?
hram777 [196]

Answer:

36

Step-by-step explanation:

I hope this helps! have a good day / night:)

4 0
3 years ago
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How do you measure angles like these?<br> pls help I have a test and I don't understand
earnstyle [38]

Answer:

120°

Step-by-step explanation:

To find angle BCD, we need to spot that the angle is on a straight line (ACD); angles on a straight line add up to 180°. This means we can find the missing angle by doing 180 - 60 which is 120°.

Hope this helps!

3 0
3 years ago
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