Cola (27 cans) Lemonade (16 cans)
Orange (12 cans) Lemon (9 cans)
What is the probability the next drink
sold is lemonade?
%
So far, they sold 16 lemonades out of
27+16+12+9=64 drinks.
So, 16/64 = 1/4 of the drinks sold so fare was lemonade. That's the expected probability of someone ordering a lemonade for the next drink.
The probability that a motorcycle has a license plate containing a double letter and an even number
Further explanation:
The probability can be obtained as the ratio of favorable number of outcomes to the total number of outcomes.
Given:
A motorcycle license plate has 2 letters and 3 numbers.
Explanation:
There are 26 letters.
The double letters are as follows,
The total numbers of double letters are
The total number of even numbers can be obtained as follows,
The favorable number of outcomes can be obtained as follows,
The total numbers of outcomes can be obtained as follows,
The probability that a motorcycle has a license plate containing a double letter and an even number
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Probability
Keywords: motorcycle, license plate, 2 letters, 3 numbers, probability, motorcyclist, containing, double letter, even numbers, odd numbers.
y > One-halfx + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 3) and (0, 2). Everything to the right of the line is shaded.
(–1, 3)
(0, 2)
(1, 2)
(2, –1)
(2, 2)
The ordered pairs which make both the inequalities true are (1, 2).
Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
Given two linear inequalities,
y < 5x + 2 and y > 1/2 x + 1
Consider y < 5x + 2.
(-1, 3) ⇒ 3 < -5 + 2 ⇒ 3 < -3, which is not true.
(0, 2) ⇒ 2 < 0 + 2 ⇒ 2 < 2, which is not true
(1, 2) ⇒ 2 < 5 + 2 ⇒ 2 < 7, which is true
(2, -1) ⇒ -1 < 10 + 2 ⇒ -1 < 12, which is true
(2, 2) ⇒ 2 < 10 + 2 ⇒ 2 < 12, which is true
Consider y > 1/2 x + 1.
Substitute the points which are true for first inequality in this one.
(1, 2) ⇒ 2 > 1/2 + 1 ⇒ 2 > 3/2, which is true
(2, -1) ⇒ -1 > 1 + 1 ⇒ -1 > 2, which is not true
(2, 2) ⇒ 2 > 1 + 1 ⇒ 2 > 2, which is not true.
Hence the point is (1, 2) which is true for both inequalities.
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Answer:
(0,2) and (1,2)
Step-by-step explanation: