The question is missing some parts. To complete, J is the event of getting a jack and R is getting a red card.
The first question is to look for the P (J) and P (R) =
P (J) = 4/52 = 0.077; since there are only 4 jacks in a standard deck.
P (R) = 26/52 = 0.5; 26 because there are 13 each for diamonds and hearts.
The second question is to describe the event J and R in words. Then look for that event’s probability.
The card is a red jack or the card is red and a jack. P (J and R) = 2/52 = 0/038
The last question is explain why P (J or R) is not equal to P (J) + P (R). Then use the general addition rule to compute for P (J or R).
The event card is red and card is jack are not mutually exclusive meaning two or more events can happen simultaneously. Thus one will count two cards twice unless using the general probability addition formula.
The probability for P (J ∪ R) is:P (J ∪ R) = 2 + 2 + 24 / 52 = 28/52 = 0.0538Or the other solution would be:P (J ∪ R) = 4/52 + 26/52 + 2/52 = 28/52 = 0.0538
Answer:
Water is _______ viscous than honey.
Step-by-step explanation:
Answer:
Crafts books: 7
Cookbooks: 13
Step-by-step explanation:
Let x be the crafts book
Let y be the cookbooks
Solve for x:
- Plug x and y in: x + y = 20
- Re-write: y = x + 6
- Plug in x + 6 instead of y: x + x + 6 = 20
- Combine like terms: 2x + 6 = 20
- Subtract 6 from each side, so it now looks like this: 2x = 14
- Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 7
Solve for y:
- Re-use an equation from above: y = x + 6
- Plug in the value of x: y = 7 + 6
- 7 + 6 = 13
- So, y = 13
I hope this helps!
Answer:
The polynomial is 10x^2 + 10x -2
Step-by-step explanation:
To get the polynomial which represents the perimeter, what we need to do is to add up all
these values. We use the formula for finding the perimeter of a triangle and that involves adding up all the three sides. That would be;
2x^2 + 3x + 5x^2 -1 + 3x^2 + 7x -1
10x^2 + 3x -1 + 7x -1
10x^2 + 10x -2