Maria earned $126 in simple interest from her savings account. If she invested $450 for 7 years, what was the interest rate?
2 answers:
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Answer:
Perimeter of the rectangle = 96 meters.
Step-by-step explanation:
Let the width of the rectangle = K
So, the length of the rectangle = 5K
Area = 320 sq meters
Now, Area of a Rectangle = Length x Width
⇒ 320 = K x 5K
or,
So, the vlue of K = 8 or, K = -8
But as K represents a length hence, K ≠ -8
So, the <u>width of the rectangle = 8 meters</u>
and the<u> length of the rectangle = 8 x 5 = 40 meters</u>
Now, Perimeter = 2(length + width)
= 2(8 + 40) = 96 meters.
So, the perimeter of the rectangle = 96 meters.
Answer:
(a) The probability distribution is valid.
(b) The probability that x = 30 is 0.30.
Step-by-step explanation:
The probability distribution of the random variable <em>X</em> is:
<em> x</em>: 20 | 25 | 30 | 35
f (<em>x</em>): 0.20 | 0.15 | 0.30 | 0.35
(a)
The properties of a probability distribution are:
- 0 ≤ P (X) ≤ 1
- ∑ P (X) = 1
All the probability value are more than 0 and less than 1.
Compute the sum of all the probabilities as follows:
The sum of all probabilities is 1.
Thus, the probability distribution is valid.
(b)
Consider the probability distribution table.
The probability of <em>X</em> = 30 is,
P (X = 30) = 0.30.
Thus, the probability that x = 30 is 0.30.
The matrix
has eigenvalues such that
for all values of
, so we need to have
in order for
to be real-valued. This happens for
where is any integer, and over the given interval we have
and
.