Answer:
The value of P(AUB) = 0.72
Step-by-step explanation:
As
We can determine the value of P(A∩B) Using the formula
P(AUB) = P(A) + P(B) - P(A∩B)
= 0.6 + 0.3 - 0.18
= 0.72
Therefore, the value of P(AUB) = 0.72
The simplified expressions are 2^-2 and 60^6
<h3>How to simplify the expressions?</h3>
<u>Expression (a)</u>
We have:
2^3 * 2^-5
Apply the product law of indices
2^3 * 2^-5 = 2^(3 - 5)
Evaluate the difference
2^3 * 2^-5 = 2^-2
<u>Expression (b)</u>
We have:
(60^2)^3
Apply the power law of indices
(60^2)^3 = 60^(2 * 3)
Evaluate the product
(60^2)^3 = 60^6
Hence, the simplified expressions are 2^-2 and 60^6
Read more about expressions at:
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Answer:
Step-by-step explanation:
Let x represent the least number of points per day of golf.
This means that his least score for 2 days would be 2x
Jesse played two days of golf. On the second day he got a score of 2 below par or -2. This means that his score on the second day would be
x - 2
His total score for the two days was 8 below par or -8. This means that the total score would be
2x - 8
The score on the first day would be the total score - the score on the second day. It becomes
2x - 8 - (x - 2) = 2x - 8 - x + 2
= 2x - x + 2 - 8
= x - 6
His score on the first day was 6 below par or - 6
Answer: 8
Step-by-step explanation:
Pythagorean theorem - a^2+b^2=c^2
a^2+15^2=17^2
a^2+225=289
(subtract 225 from both sides)
a^2=64
(sq root both sides)
a=8
Answer:
x = ±1
Step-by-step explanation:
Step 1: Define variables
f(x) = x² + 1
f(x) = 2
Step 2: Substitute
2 = x² + 1
Step 3: Solve for <em>x</em>
0 = x² - 1
0 = (x - 1)(x + 1)
x - 1 = 0
x = 1
x + 1 = 0
x = -1
∴ x = ±1
