What is the square root of 8k=k

Alex and Bryan are giving an exam. The probability Alex gets an A is 0.9, the probability Bryan gets an A is 0.8 and the probabi

VARVARA [1.3K]

Answer:

The probability that either Alex or Bryan get an A is 0.9

Step-by-step explanation:

Before we proceed to answer, we shall be making some important notation;

Let A = event of Alex getting an A

Let B = event of Bryan getting an A

From the question, P(A) = 0.9, P(B) = 0.8 and P(A ∩ $B^{c}$ ) = 0.1

We are to calculate the probability that either Alex or Bryan get an A which can be represented as P(A ∪ B)

We can use the addition theorem here;

P(A ∪ B) = P(A) + P(B) - P(A ∩ B) .......................(i)

Also,

P(A) = P(A ∩ $B^{c}$ ) + P(A ∩ B) .........................(ii)

We can insert ii into i and we have;

P(A ∪ B) = P(A ∩ $B^{c}$ ) + P(A ∩ B) + P(B) - P(A ∩ B) = P(A ∩ $B^{c}$ ) + P(B) = 0.1 + 0.8 = 0.9

5 0

2 years ago

Jessica begged her parents for a new bike for months before her birthday. On her birthday, her parents presented her with a shin

Oksi-84 [34.3K]

Cherish also means remember. Jessica will never forget about her bike.
Your answer is 1. remember

4 0

3 years ago

What numbers add to 2 and multiply to -56

marta [7]

The numbers are irrational, so they can't be exactly written down
using only digits.

In exact form, they are

   1 + √57
and
   1 - √57 .

In rounded form, they are

   8.54983
and
    -6.54983 .

5 0

3 years ago

Read 2 more answers

How many 1/ 4-inch cubes does it take to fill a box with width 2 1/ 4 inches, length 2 1/ 2 inches, and height 1 3/ 4 inches?

lys-0071 [83]

Answer:

630.

Step-by-step explanation:

<u>Given the following data;</u>

Dimensions for cube = ¼ inches

$Volume \; of \; cube = \frac {1}{4} * \frac {1}{4} * \frac {1}{4}$

Volume = 1/64 cubic inches.

For rectangular box;

Length = 2½ = 5/2 inches.

Width = 2¼ = 9/4 inches.

Height = 1¾ = 7/4 inches.

$Volume \; of \; cube = \frac {5}{2} * \frac {9}{4} * \frac {7}{4}$

Volume = 315/32 inches

Therefore, to find the amount of cubes;

$Number \; of \; cubes = \frac {Volume \; of \; box}{Volume \; of \; cube}$

Substituting into the equation, we have;

$Number \; of \; cubes = \frac {\frac {315}{32}} {\frac {1}{64}}$

$Number \; of \; cubes = \frac {315}{32} * 64$

$Number \; of \; cubes = 315 * 2$

Number of cubes = 630

6 0

2 years ago

Read 2 more answers

Suppose you draw a card from a well shuffled deck of playing cards what is probability of drawing a ace

Tasya [4]

So there are a totally of 52 cards right?(not counting jokers because jokers are not in official cards)
And there are 4 aces right?
So there are 52 outcomes and 4 of them are aces.
So when we write probabilities we write it in fraction form where the total number of outcomes is the denominator and the ones you want to get are the numerator OK?
So the total number is outcomes is 52 and becomes the denominator and 4 the number of aces become the numerator.
So 4/52 right?
And we now have to simplify it right?
And so we divide by the highest common factor right?
In this case 4 because there isn’t other numbers that are factors and greater than 4.
So 4 divided by 4/52 is 1/13 right?
4 goes into 4 1 time and 13 times into 52.
So your answer is 1/13

3 0

3 years ago