Answer:
0.9861 = 98.61% probability that the weight will be less than 4884 grams.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean weight of 3903 grams and a standard deviation of 446 grams.
This means that 
If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 4884 grams.
P-value of z when X = 4884. So



has a p-value of 0.9861
0.9861 = 98.61% probability that the weight will be less than 4884 grams.

Break the expression into groups:

Factor out x from :

Factor out 3 from :


Factor out common term


hope this helps!
Answer:
y = 2x/3 + 4
Step-by-step explanation:
The line passes through (-6, 0) and (0, 4)
slope = (4 - 0)/(0 - (-6)) = 4/6 = 2/3
y = (2/3)x + b
when x = 0, y = 4, so
4 = (2/3)*0 + b
b = 4
so
y = 2x/3 + 4
Answer:
-2<x<3
or x∈(-2,3)
Step-by-step explanation:
x²-5x<-6
add (-5/2)² i.e.,25/4
x²-5x+25/4<-6+25/4
(x-5/2)²<(-24+25)/4
(x-5/2)²<1/4
(x-5/2)²<(1/2)²
|x-5/2|<1/2
-1/2<x-5/2<1/2
Add 5/2
-1/2+5/2<x-5/2+5/2<1/2+5/2
-2<x<3
Answer:
Step-by-step explanation:
As per graph the lines B and C intersect at point (2, 2) so it the solution of system with those lines