Answer:
Option D
Step-by-step explanation:
Rate of change of a linear function between two points 
and 
is given by,
Rate of change 'm' = 
From the given table,
Rate of change of the function between (-2, 6) and (-4, 9),
Rate of change 'm' = 
m = 
Initial value = y-intercept
Let the equation of the line passing through a point (h, k) is,
y - k = m(x - h)
If a point (-2, 6) is lying on the graph of the function,
y - 6 = 
y = 
y = 
Y-intercept of the function = 3
Therefore, initial value of the function = 3
Option D is the answer.
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:
write 4/27 as the product of a prime raised to a power
