Answer:
74.86% probability that a component is at least 12 centimeters long.
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:

Variance is 9.
The standard deviation is the square root of the variance.
So

Calculate the probability that a component is at least 12 centimeters long.
This is 1 subtracted by the pvalue of Z when X = 12. So



has a pvalue of 0.2514.
1-0.2514 = 0.7486
74.86% probability that a component is at least 12 centimeters long.
The equation y=mx+b
Slope= m
y-intercept= b
y= 2x+0 so y=2x
Well you can't actually find a number, but you can make an equation.
lets call the bag of candy x, and the number of students in the teachers class S.
she gives every student in her class 4 pieces, so to find that amount, we have to multiply the number of students in her class by 4, the pieces of candy. 4S
afterwards she has 48 pieces, which is the endpoint, x is the starting point because that's the amount of candy the teacher started with.
so your equation is x-4S=48, but the thing is, the question is looking for the amount of students she gave candy to, so we have to isolate S, or in easier words; put S on one side, and the numbers on the other.
so the equation is S=1/4x-12
Answer:
Um theres no question or picture. Or document.
Step-by-step explanation:
Answer: y=5x/2 - 2.5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2.5-2.5)/(0-2)
m=-5/(-2)
m=5/2
y=mx+b
y=5x/2 + b
-2.5=5(0)/2 + b
-2.5=0 + b
b=-2.5
y=5x/2 - 2.5