The probability of event A is x, and the probability of event B is y. If the two events are independent, which of these conditions must be true?a. P(B|A) = y
b. P(A|B) = y
c. P(B|A) = x
d. P(A and B) = x + y

e. P(A and B) = x/y

P(A)

Answers

Answer 1

Answer: The right answer for the question that is being asked and shown above is that: "d. P(A and B) = x + y." The probability of event A is x, and the probability of event B is y. If the two events are independent, the condition must be true is this d. P(A and B) = x + y

Answer 2

Answer:

If two events are independent, then

$Pr(A\cap B)=Pr(A)\cdot Pr(B)$ .

Use formulas for conditional probabilities:

For independent events these formulas will be:

Now in your case $Pr(A)=x,\ Pr(B)=y$ and $Pr(A|B)=x,\ Pr(B|A)=y, Pr(A\cap B)=x\cdot y$ .

This shows that the only correct choice is A.

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What has at least one right angle but is not a square

Answers

There is a Right Triangle

Adam buys a bigger turkey than he needs the turkey he buys weighs 7kg the cooking instructions are:less than 4kg-allow 20 minutes per kg, plus 70 minutes

over 4kg allow 20 minutes per kg, plus 90 minutes

always leave the turkey to rest for 30 minutes before carving to retain moisture.

he plans to carve the turkey at 17:15.

what time should he start cooking the turkey?

Answers

Given:
7 kg turkey

cooking instructions:
over 4kg allow 20 minutes per kg, plus 90 minutes
always leave the turkey to rest for 30 minutes before carving.

7kg * 20 minutes/kg = 140 minutes

140 minutes + 90 minutes = 230 minutes
230 minutes + 30 minutes rest = 260 minutes

260 minutes * 1hr/60 minutes = 4 hours 20 minutes

17:15 is 5:15 pm

17:15 - 4:20 = 12:55 pm

Adam should start cooking at 12:55 pm

Given that f(x) = x^2 + 6x – 2, g(x) = x – 7, and h(x) = x + 4find each function. (f + g)(x)

Answers

Answer:

(f+g)(x) = x^2 + 7x -9

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

= (x^2 + 6x – 2) + (x – 7)

= x^2 + 7x -9

(03.06)A school system is reducing the amount of dumpster loads of trash removed each week. In week 5, there were 60 dumpster loads of waste removed. In week 10, there were 40 dumpster loads removed. Assume that the reduction in the amount of waste each week is linear. Write an equation in function form to show the amount of trash removed each week.

f(x) = −4x + 60
f(x) = 4x + 60
f(x) = −4x + 80
f(x) = 4x + 80

Answers

Given:
Week 5 = 60 dumpster load
Week 10 = 40 dumpster load

60 - 40 = 20
5 - 10 = 5

20/5 = 4 dumpster load per week.

Week 0 to Week 5 = 20 ⇒ 20+60 = 80

f(x) = -4(x) + 80
f(5) = -4(5) + 80
f(5) = -20 + 80
f(5) = 60

f(10) = -4(10) + 80
f(10) = -40 + 80
f(10) = 40

Answer:

Step-by-step explanation:

I dont have proof but I promise you its right. :)

52.5% of what number is 25.83?

Answers

1. Do a proportion
25.83/x times 52.5/100
2. Do 25.83 times 100 which equals 2,583
3. Do 2,583 divided by 52.5 which equals 49.2
4. Your answer is 49.2

52.5 × 25.83 /100 = 13.56

How to factor out xsquared+6x-27