Answer:
5 : 4
Step-by-step explanation:
To simplify the ratio , find the greatest common factor of 60 and 48, then divide both parts of the ratio by it
the greatest common factor of 60 and 48 is 12, hence
60 ÷ 12 : 48 : 12 = 5 : 4 ← in simplest form
The simple interest earned in year 1 is 7.5. The simple interest earned in year 1 is $7.50. The total interest earned at the end of year 4 is $30.00
<h3>How to calculate a simple interest amount?</h3>
If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, it is left for T years for that simple interest.
3% simple annual interest paid on $250
A 2-column table with 4 rows.
Column 1 is labeled Year with entries 1, 2, 3, 4.
Column 2 is labeled Total Interest Paid with an entries question mark, 15 dollars, 22 dollars, and 50 cents,
The simple interest earned in year 1 is calculated as
The first one is (0.03)(250) = 7.5
The simple interest earned in year 1 is
The second one is $7.50
The total interest earned at the end of year 4 is
The third one is $30.00
Learn more about interest here:
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Assuming that the base of the prism is a regular pentagon, the area of a regular polygon is given by the formula A = 0.5pa; where p is the perimeter and a is the apothem. An apothem is a line that connects the center of the polygon to the midpoint of a side and is also perpendicular to the said side. For this example, the assumed apothem here is k.
Area of base = 2 (0.5 x 20" x k) = 20k
The sides of the prism are rectangles, with width 6" and length (20"/5) = 4".
Area of sides of prism = 5 (6" x 4") = 120
Total Area T.A. = 120 + 20k
The statement in option D is TRUE.
From the graph, you can see that one eraser cost 50 cent and all the eraser cost the same. Following the graph, you will observe that, when the total cost of the eraser is $3.5 on the vertical axis, the corresponding point on the horizontal axis is 7.
That particular plot on the graph is telling you that when seven erasers are bought, the total cost is $3.5.
Answer:
a) 
And we can use the complement rule and we got:
And replacing we got:
b)
And we can use the complement rule and we got:
And replacing we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the length of time waiting to be seated of a population, and for this case we know the distribution for X is given by:
Where 
and 
Part a
For this cae we want to find this probability:
And if we use the conditional probability formula we got:
We can solve the problem using the z score formula given by:
And we can use the complement rule and we got:
And replacing we got:
Part b
We can solve the problem using the z score formula given by:
And we can use the complement rule and we got:
And replacing we got:
