Answer:
50 = p + 42
Step-by-step explanation:
The unknown part of this equation is the variable p, the number of people that left. So you want to add p to 42 and that will give you the total number of football players, which is 50. In order to get p, you need to get it by itself and make it equal something. Subtract 42 from both sides and you are stuck with 50-42 = p
p = 8
Using the combination formula, it is found that:
There are 364 different orders of top-three finishers that include all seniors.
The probability that the top-three finishers will all be seniors is 15.38%.
The order in which the players are taken is not important, hence the <em>combination formula</em> is used to solve this question.
<h3>What is the combination formula?</h3>
is the number of different combinations of x objects from a set of n elements, given by:
In total, three students are taken from a set of 14, hence:
Including only seniors, it would be three students from a set of 8, hence:
Hence the probability is given by:
p = 56/364 = 0.1538 = 15.38%.
More can be learned about the combination formula at brainly.com/question/25821700
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A solid machine part is to be manufactured as shown in the figure. The part is made by cutting a small cone off the top of a larger cone. The small cone has a base radius of 3 inches and a height of 5 inches. The larger cone has a base radius of 9 inches and had a height of 15 inches prior to being cut. What is the volume of the resulting part illustrated in the figure?
C. 390 cubic inches
Answer: A rate
Step-by-step explanation:
A rate is a ratio that compares two different quantities with different units of measure
The fireworks display occur at 550.331 ft
The generic equation for a hyperbola provided by: is the best method for solving the problem in this instance.
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We presume that the y-axis is where the hyperbola's longer axis lies.
In this instance, the sound traveled a total of 1100 meters, and the value of a can be calculated as follows:
2a = 1100
a = 550ft
Given that the two people are 3 miles apart, we can calculate the value of c in feet as follows:
1 mile = 5280 feet
∴ 3 miles = 15840 ft = c
And this is how we may determine what b is worth:
Our equation is thus given by:
And for this case we want to find the value of x when y = 3ft=15840ft and solving for x we get,
x = 550.331 ft.
The fireworks display occur at 550.331 ft.
Learn more about hyperbola here :
brainly.com/question/14307125
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