A determined gardener has 120ft of deer-resistant fence. She wants to enclose a rectangular vegetable garden in her backyard, an
1 answer:
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Answer:
A
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A = product of diagonals
Here AC = 13 and BD = 15 are the diagonals, hence
A = 0.5 × 13 × 15 = 97.5 units² → A
To solve the algebraic expression, add or subtract the variables with same power of variable.
The result of the given problem after simplifying is,
Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used represent the general problem in the mathematical way to solve them.
To solve the algebraic expression, add or subtract the variables with same power of variable.
Given information-
The given numbers are,
All the four number given in the form of unknown number and
.
The result, need to be find is,
Let the result of above expression is . Thus,
Put the values to solve it further,
Solve it further by open the bracket as,
Hence the result of the given problem after simplifying is,
Learn more about the algebraic expression here;
Answer:
The value of ROE that will be exceeded by 78% of the firms is -1.77%.
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:
The mean ROE for the firms studied was 14.93% and the standard deviation was 21.74%. This means that
What value of ROE will be exceeded by 78% of the firms?
This is the value of X when Z has a pvalue of 1-0.78 = 0.22.
This is
So:
The value of ROE that will be exceeded by 78% of the firms is -1.77%.