Answer:
C. 1/4
Step-by-step explanation:
Since John has given 2/3 of his pencils to Roy, he has 1/3 of the total left. To find 1/4 of 1/3, multiply the numbers. 1/4(1/3) = 1/12. This means that he gave 1/12 of the beginning total to Maria. 2/3 can also be written as 8/12, and 1 can be written as 12/12. 12/12 - 8/12 = 4/12, and then 4/12 - 1/12 = 3/12. 3/12 can be simplified into 1/4
Answer:
0.57142
Step-by-step explanation:
A normal random variable with mean and standard deviation both equal to 10 degrees Celsius. What is the probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit?
We are told that the Mean and Standard deviation = 10°C
We convert to Fahrenheit
(10°C × 9/5) + 32 = 50°F
Hence, we solve using z score formula
z = (x-μ)/σ, where
x is the raw score = 59 °F
μ is the population mean = 50 °F
σ is the population standard deviation = 50 °F
z = 59 - 50/50
z = 0.18
Probability value from Z-Table:
P(x ≤59) = 0.57142
The probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit
is 0.57142
Answer:
Step-by-step explanation:
<u>Given:</u>
- The slope m = -5 and point (2, -9)
<u>Use point slope form:</u>
- y - y₁ = m(x - x₁), where (x₁, y₁) is the given point
<u>So the equation is:</u>
- y - (-9) = -5(x - 2)
- y + 9 = -5x + 10
- y = -5x + 1
