If you roll a number cube two times, what is the probability that you will land on an even number both times?

Rom4ik [11]

Right angles are usually always 90 degrees, then if you are looking at right triangles, you have 45,45,90 degree triangles and 30,60,90 triangles

5 0

2 years ago

A card is drawn at random from a standard deck of 52 cards. Find the following conditional probabilities. a) The card is a diam

Inga [223]

Answer:

$a.\frac{1}{13}\\b.\frac{1}{2}\\c.\frac{1}{13}\\d.\frac{1}{13}$

Step-by-step explanation:

P(A|B) = P(A and B) / P(B)

Total number of cards = 52

a)

Let A denotes the event that the card is a diamond and B denotes the card is red.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}\\=\frac{\frac{2}{52}}{\frac{26}{52}}\\=\frac{1}{13}$

b)

Let A denotes the event that the card is red and B denotes the card is diamond.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{2}{52}}{\frac{4}{52}}\\=\frac{1}{2}$

c)

Let A denotes the event that the card is nine and B denotes the card is red.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{2}{52}}{\frac{26}{52}}\\=\frac{1}{13}$

d)

Let A denotes the event that the card is a king and B denotes the card is a face card.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{4}{52}}{\frac{12}{52}}\\=\frac{1}{13}$

7 0

2 years ago

Ben spent of an hour cleaning his room. His sister spent 3 times as many hours cleaning her room. How many hours did Ben and his

dlinn [17]

Idk what it has to do with simplifying but what I would do is multiply 1 times 3. That gives u 3. Then add Ben's one hour and Brooke's 3 hours together. That gives u 4 hours total.

7 0

3 years ago

Read 2 more answers

Please help solve this? (:

d1i1m1o1n [39]

Answer:

1 and Q

Step-by-step explanation:

The first and second one, as The angle can be whatever number or letter correlates with that one. R is a different point, and QRS isn't an actual angle.

Hope this helps :)

7 0

3 years ago

If each letter of the alphabet is worth two more than its preceding letter, where A is the first number and equals 1, B is the s

andrey2020 [161]

Answer:

<h2>The total value of all the letters in the alphabet is 676.</h2>

Step-by-step explanation:

The problem is about an arithmetic sequence where the difference is 2, the first term is 1 and we know that the alphabet has 26 letters.

To find the total sum of all values, we have to use the following formula

$S_{n}=\frac{n}{2}(2a_{1}+(n-1)d )$