Answer:
Area of rectangle PLUM = 75.00 square units
Step-by-step explanation:
Since diagonal of rectangle divides the rectangle into two equal triangles,
Therefore, area of the rectangle PLUM = 2× area of triangle PLM
By the mean proportional theorem,
In ΔPLM,
AP² = AM × AL
6² = AM × 8
AM = 
AM = 4.5 units
Area of PLM = 
= 
= 
= 12.5 × 3
= 37.5 units²
Now area of rectangle PLUM = 2×37.5 = 75 units²
Therefore, area of the rectangle is 75.00 square units.
Answer:
9 cm
Step-by-step explanation:
The formula to find the area of a square is Base times height (B x H)
Since a square has equal sides, it means each side is 3 centimeters.
So, all you have to do is 3 times 3.
3 x 3=9
<u>Final answer</u>
9 cm
Let us say, the CD amount she invested is "c"
and the amount she invested in the savings bond is "s"
she invested a total of 5,000
so, whatever "c" is and "s" is, c + s = 5,000
now, the CD account earned 4% in interest
4% in decimal form is 4/100 or 0.04
she also earns 7% from the saving bonds,
7/100 is 0.07
the interest earned after one year are 300
that is, the 4% per year and the 7% per year add up to 300 bucks
so, one can say that
0.04c + 0.07s = 300
Answer:
22.60% probability that exactly 3 people are repeat offenders
Step-by-step explanation:
For each driver arrested selected, there are only two possible outcomes. Either they are repeat offenders, or they are not. The probability of an arrested driver being a repeat offender is independent from other arrested drivers. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In Illinois, 9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders;
This means that 
Suppose 28 people arrested for DUI in Illinois are selected at random.
This means that 
a) What is the probability that exactly 3 people are repeat offenders
This is 
22.60% probability that exactly 3 people are repeat offenders
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