A 52-card deck is made up of an equal number of diamonds, hearts, spades, and clubs. Because there are 4 suits, there is a 1/4 chance to draw one of them, in our case, spades.
There are 4 aces in a 52-card deck, so the chance of drawing one is 4/52, or 1/13.
The question asks for the probability of drawing an ace or a spade. Because it uses the word "or," we add the probabilities together. This is because there is a chance of drawing either of the cards; it doesn't have to meet both requirements to satisfy the statement.
However, if the question were to say "and," we would multiply the two probabilities.
Let's add 1/4 and 1/13. First, we can find a common denominator. We can use 52 because both fractions can multiply into it (since the ratio came from a deck of 52 cards as well).
Now we can add them together.
This cannot be simplified further, so the probability is 17 in 52, or 33%.
hope this helps!
The sum of the prime integers in the list is 10158.
<h3>What are Prime Numbers ?</h3>
The numbers that are divisible by 1 or itself is called a Prime Number.
The sum of two prime numbers is not a prime number
The given prime numbers are
197 , 497, 1111 ,2111 , 2643 , 3599
=197+ 497+1111+2111+2643+3599
= 10158
The sum of the prime integers in the list is 10158.
To know more about Prime Number
brainly.com/question/9315685
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The price of one ticket is $ 62.2
<h3><u>Solution:</u></h3>
Given that a performer expects to sell 5000 tickets for an upcoming event
They want to make a total of $ 311, 000 in sales from these tickets
<em><u>To find: price of one ticket</u></em>
Let us assume that all tickets have the same price
Let "a" be the price of one ticket
So the total sales price of $ 311, 000 is obtained from product of 5000 tickets and price of one ticket
Thus the price of one ticket is $ 62.2
Answer:
Hi!
The correct answer is d) 1 over 15 minus 1 over x equals x over 35.
Step-by-step explanation:
We know the amount of time that Byron can fill a drying rack with dishes: 15 minutes.
We know the amount of time that Byron can fill a drying rack with dishes while Emmitt is taking dishes out of the drying rack: 35 minutes.
We don't know the amount of time that Emmitt can take dishes out of the drying rack: x minutes.
So, if Byron is filling the drying rack in 15 minutes and Emmitt is taking out the dishes at x minutes, it takes 35 minutes to fill the drying rack.
<em>// multiply by 105x both sides.</em>
<em>// simplifly</em>
<em> //substract 3x and add 105 in both sides</em>
<em>// solve</em>
<em>//</em> <em>divide by 4 in both sides</em>
<em>// solve</em>
It makes sense that Byron fills the rack faster than Emmitt empties the rack.
