Answer:
-3/b
Step-by-step explanation:
The reciprocal of -b/3 is -3/b
Answer:
Total amount paid by Eunice=$1,044
Step-by-step explanation:
Step 1: Determine full price of couch
Full price of couch=$1200
Step 2: Determine tax
Tax=tax rate×full price
where;
tax rate=7%
full price=$1200
replacing;
Tax=(7/100)×1,200=$84
Tax=$84
Step 3: Calculate the sale price
Sale price=Full price-20% discount
where;
Full price=$1,200
discount=(20/100)×1,200=$240
replacing;
Sale price=(1,200-240)=960
Sale price=$960
Step 4: Total amount paid by Eunice
Total amount paid by Eunice=Sale price+tax
where;
Sale price=$960
tax=$84
replacing;
Total amount paid by Eunice=(960+84)=$1,044
Total amount paid by Eunice=$1,044
Answer:
velocity
Step-by-step explanation:
The velocity of the object is continually changing. This velocity is the slope of the tangent line to the curve at a given point on the curve.
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.