Answer:
50
Step-by-step explanation:
Answer: 17/52
Step-by-step explanation:
There are 52 total cards in a standard deck.
The number of diamonds in a deck of cards is 13 and there are 4 jacks in a deck of cards.
So the propabibilty of Pat picking a diamond is 13/52 and the probability of Pat picking a jack is 4/52. Now you have to add the two probabilities together.
You do not remove any digits because Pat put the card back into the deck, he didn't take it away. So we do not take away from the total
13 + 4 = 17
You do not need to change the denominator cause 52 is the same.
So 17/52 is the probability of Pat picking a diamond or a jack
I hope this helped!
Answer:
a = ±sqrt(3)
Step-by-step explanation:
a×a×a=a+a+a
Simplifying each side
a^3 = 3a
Divide each side by a
a^3 /a = 3a/a
a^2 = 3
Take the square root of each side
sqrt(a^2) = ±sqrt(3)
a = ±sqrt(3)
Answer:
A) a vertical line does not represent a function.
Step-by-step explanation:
For a relation to be a function for each value of 
there must be only one value of 
. In other words a function is one in which each value in the domain set corresponds to only one value in the range set.
Let us check for this condition in the give choices:
A) a vertical line
A vertical line is given as 
which meas it is parallel to y-axis and has infinite number of values for a single value.
So, its Not a function
B) 
For the given equation, on plugging in some value will give a single value.
So, its a Function
C) a horizontal line
A horizontal line is given as 
which meas it is parallel to x-axis and has infinite number of values giving a single value.
So, its a Function
D) {(1, 7), (3,7), (5, 7), (7,7)}
For the given set for different valuesthere is only one value.
So, its a Function
Let's write an inequality, such as follows: x < sqrt(50) < y. Square both sides of the equation. We get x^2 < 50 < y^2. Obviously, x is between 7 and 8. Also notice, that for integers a,b, (ab)^2/b^2, equals a^2. So let's try values, like 7.1. Using the previous fact, (7.1)^2, equals (71)^2/100. So, (7.1)^2, equals 50.41. Thus, our number is between 7 and 7.1. We find, with a bit of experimentation, that the square root of 50, is 7.07.
