4 times 200=800
4 times 70= 280
4 times 5= 20
add it together and you get 1100
Answer:
0.0062 = 0.62% of the 24-ounce bags contain less than the advertised 24 ounces of chips.
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 of 24.5 ounces and a standard deviation of 0.2 ounce.
This means that 
What proportion of the 24-ounce bags contain less than the advertised 24 ounces of chips?
This is the p-value of Z when X = 24. So



has a p-value of 0.0062.
0.0062 = 0.62% of the 24-ounce bags contain less than the advertised 24 ounces of chips.
Assuming all angles are to be calculated.
Using the cosine rule:
a^2=b^2+c^2-2bc(cos(A))
=>
cos(A)=(b^2+c^2-a^2)/(2bc)
substitute values,
cos(A)=(17^2+19^2-22^2)/(2*17*19)=83/323=0.25697
A=75.11 degrees
similarly
cos(B)=(19^2+22^2-17^2)/(2*19*22)=139/209=0.66507
B=48.31 degrees
cos(C)=(22^2+17^2-19^2)/(2*22*17)=103/187=0.55080
C=56.58 degrees
Check: (75.11+48.31+56.58)=180.00 degrees, ok.
Note:
1. Better accuracy than required is calculated for a more accurate check. You need to round answers to the specified accuracy.
2. In fact, not all tables are made from formulas. Some tables are compiled by experimentation and require hundreds and thousands of man-years to complete (e.g. steam tables).
Answer:
63/55
Step-by-step explanation:
Assuming
and
. Find ( g o f)( -7) by substituting f into g. Then -7 into the new expression.
( g o f)( -7) =
