HELP! Which expression is equivalent to a^b/c

Answers

Answer 1

Answer:

Answer:

${ \rm{ {a}^{ (b)/(c) } \: \dashrightarrow \: ( {a}^(b)) {}^{ (1)/(c) } }} \n \n { \boxed{ \rm{ \boxed{} \: \: \sqrt[c]{ {a}^(b) } }}} \n$

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Answers

COMPLETE QUESTION:

Chris went on a vacation for a week and asked his brother Paul to feed his old cat Charlie. But Paul is forgetful, and Chris is 70% sure Paul will forget to feed his cat. Without food, Charlie will die with probability 0.5. With food, he will die with probability 0.03. Chris came back from vacation and found Charlie alive. What is the probability that Paul forgot to feed Charlie (round off to third decimal place)?

Answer:

The probability that Paul forgot to feed charlie is 0.546

Step-by-step explanation:

Lets denote F the event 'Paul forgot to feed Charlie', and L the even 'Charlie is alive', we have

P(F) = 0.7

P(L|F) = 1-0.5 = 0.5

P(L|F^c) = 1-P(L^c|F^c) = 1-0.03 = 0.97

We want to calculate P(F|L). We will use Bayesformula at the start and the theoremoftotalprobability to calculate P(L).

Given that Charlie is alive, the probability that Paul forgot to feed charlie is 0.546.

Answer:

P = 0.546

Step-by-step explanation:

Hi,

This is a question of conditional probability, which means to find probability of a situation given that another event has already occured:

$P(A|B) = (P(B|A) P(A))/(P(B)) = (P(A \cap B))/(P(B))$

In this question, we need to find the probability of Charlie being alive if not fed, with the data given below:

$P(Paul\ forgets)= 0.70\nP(Paul\ feeds) = 0.30\nP( Charlie\ dies\ given\ that\ Paul\ forgets) = 0.50\nP( Charlie\ dies\ given\ that\ Paul\ feeds) = 0.03\n$

From this data, we can infer the following:

The probability of Charlie staying alive in both cases:

$P(Charlie\ stays\ alive) = (0.97 * 0.30) + (0.5 * 0.7)\nP(Charlie\ stays\ alive) = 0.641$

We need to find the probability when not fed:

$P (Charlie\ alive\ when\ not\ fed) = (P( dies | not fed) * P(Paul forgets) )/(P(Charlie\ stays\ alive))$

(Remember this is the variation of the conditional probability formula as per our requirement in this question).

$P(Charlie\ alive\ when\ not\ fed) = ((0.5 * 0.7))/(0.641) = 0.546$

Hence, the probability of Charlie being alive when Paul forgets is 0.546.

10 POINTS Solve for x:
2x-7=5x+13

x = -20/3
x = -7
x = 22/3

Answers

The answer is X= -20/3 :)

Subtract 2x to both sides and subtract 13 from both sides

-20 = 3x

Divide 3 from both sides to isolate x

-20/3=x

First do 5x - 2x and you get 3x.
Now the equation is -7 = 3x + 13.
Next do -7 - 13 and you get -20.
The final step is to do -20 divided by 3 and you get -20/3.

The answer is x = -20/3

There were 3 squirrels and 18 acorns on Josh's back porch. What was the ratio of acorns to squirrels? Enter your answer in reduced form.

Answers

Answer: 1:6

Step-by-step explanation:

Reduce each side of the ratio

Answer:

For every 1 squirrel there are 6 acorns

Step-by-step explanation:

u just divide 18 by 3

Carol keeps her toys in a box that is shaped like a rectangular prism. The height of the box is 24 inches, the width is 36 inches, and the length is 36 inches. Convert the dimensions from inches to feet, then find the volume of the toy box in cubic feet. Remember that 12 inches = 1 foot. A. 8 ft 3 B. 12 ft 3 C. 18 ft 3 D. 36 ft 3

Answers

The volume of the toy box in cubic feet is 18 ft³.

What is a prism?

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

First, we need to convert the dimensions of the box from inches to feet:

Height: 24 inches ÷ 12 inches/foot = 2 feet

Width: 36 inches ÷ 12 inches/foot = 3 feet

Length: 36 inches ÷ 12 inches/foot = 3 feet

So, the box has a height of 2 feet, a width of 3 feet, and a length of 3 feet.

To find the volume of the rectangularprism,

We multiply the height by the width by the length:

Volume = 2 feet x 3 feet x 3 feet = 18 cubic feet

Therefore,

The volume of the toy box in cubic feet is 18 ft³.

Learn more about prism here:

brainly.com/question/12649592

#SPJ3

The answer is C. 18 ft
24 in=2 ft
36 in=3 ft
V=(w)(h)(l)
V=(3)(3)(2)
V=(9)(2)
V=18 ft
Hope this helps:D Please vote Brainliest!

A television is 28.5 inches wide and 16 inches long.Using the Pythagorean Theorem, what is the length of the diagonal of the television, rounded to the nearest inch?