Answer:
See attached photo
Step-by-step explanation:
To find the area multiply length times width.
43 times 36 is 1548
Take 1548 divide by 172 to get the answer.
1548/172 equals 9
An equation is formed from two equal expressions. Carmen earns $390 for her 13 hours of tutoring.
Equation: An equation is created by equating two equations with an equal sign '='.
Let's say Carmen is earning $30 per hour of her tutoring her.
Therefore, the formula for Carmen's income after H hours of tutoring can be written as:
Income = hourly wage for individual instruction x number of hours
I = 30 × H
I = 30H
After 13 hours of tutoring, Carmen's income will be:
I = 30 (13)
I = 390
So, after 13 hours of tutoring, Carmen's income will be $390.
To learn more about such an equation visit: brainly.com/question/12534801
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Answer:
There is an 84% probability that your standard refrigerator will last between 12 and 20 years.
Step-by-step explanation:
Problems of normally distributed samples can be 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:
A standard refrigerator's mean life expectancy is 18 years with a standard deviation of 2 years. This means that .
What is the probability that your standard refrigerator will last between 12 and 20 years?
This probability is the pvalue of Z when subtracted by the pvalue of Z when . So
X = 20
has a pvalue of 0.8413
X = 12
has a pvalue of 0.0014
This means that there is a 0.8413-0.0014 = 0.8399 = 0.84 = 84% probability that your standard refrigerator will last between 12 and 20 years.
Answer:
We are given that:
Now we are asked to show that:
We know that:
Hence using equation (1) we get:
Also we know that:
and
so using above two formula in equation (2) we get:
( since we know that:
)
Hence we have proved that: