Answer:
y = - x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
To calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (4, 1) and (x₂, y₂ ) = (- 2, 7)
m = = = - 1, hence
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
using (4, 1), then
1 = - 4 + c ⇒ c = 1 + 4 = 5
y = - x + 5 ← equation of line
Answer:
The standard deviation for annual precipitation in St. Louis is 6.48 inches.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
If 17.75% of the time, the annual precipitation is more than 40 inches, what is the standard deviation for annual precipitation in St. Louis
This means that Z when X = 40 has a pvalue of 1-0.1775 = 0.8225. So when X = 40, Z = 0.925.
The standard deviation for annual precipitation in St. Louis is 6.48 inches.
Answer:
A. 10/11
Step-by-step explanation:
b. alternate angles are equal
hope this helps!!
Answer:
3 : 6 : 1
Step-by-step explanation:
The common multiple between these numbers is 9, so divide everything by nine.