All these cases represent experiments whose outcomes are all equaly likely. What we mean is that the cards have all the same probability of being dealt (1/52), and all the spaces of the spinner have the same probability of being landed into (1/5).
These probabilities are computed as 1 over all the possible outcomes.
(a) If you want a heart card and a five, you want the 5 of hearts. So, only one card would satisfy your request, and thus you have probability 1/52 of dealing the 5 of hearts.
(b) There are four 10s and four Jacks in the deck, so 8 cards satisfy your request. With probability 8/52, you'll be dealt a Jack or a 10.
(c) You have two "good" outcomes out of 5, so your probability is 2/5.
The answer is 200,000. The reason why is because 50000*4=200,000
Answer:
Quadratic Equation:
From the standard form of a Quadratic Function, we get:
Discriminant:
From the discriminant, we conclude that the equation will have two real solutions.
State that:
By the way, solving the equation given:
The value of n is 11.
<u>Step-by-step explanation</u>:
The given expression is (n-9) ÷ 10 = -2
<u>To find the value of n</u> :
- From the expression, it is determined that (n-9) is the numerator and 10 is the denominator.
- Cross multiply the denominator in the left side of the expression to the another side.
The expression becomes (n-9) = (10
-2).
⇒ n-9 = -20
Keep the n term on one side and the constants on other side.
⇒ n = -20+9
⇒ n = -11
Therefore, the value of n is 11.
Answer:
Yes because after solving the equation, x does indeed equal 14.
Step-by-step explanation:
-5 + 2x = 23
2x = 23 + 5
2x = 28
x = 14
