Answer:
120 home runs.
Step-by-step explanation:
Let x be the number of home runs after playing 1272 games.
We have been given that Derek Jeter, the short stop for the New York Yankees, a major league baseball team, played in 159 games in 2012 and hit 15 home runs.
Let us find the probability of hitting home runs in next game.
To find the total number of home runs Derek will hit in his career, we will use relative probability, which is the ratio of the occurrence of a singular event and the total number of outcomes.
So we can set a proportion as:
Let us multiply both sides of our equation by 1272.
Therefore, Derek Jeter will hit approximately 120 home runs in his career.
The functions will be defined as y = x² if 0 ≤ x < 3, y = -x + 10 if 3 < x ≤ 6, and y = x + 2 if 6 ≤ x ≤ 10.
<h3>What is a function?</h3>
A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The graph is given below.
The function can be defined as
The parabolic equation will be
f(x) = x²
The equation of the absolute function will be
f(x) = |x - 6| + 4
Then we have
More about the function link is given below.
brainly.com/question/5245372
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The answer is 3 units down and one unit left.
Answer:
73 nails
Step-by-step explanation:
Number of 1 inch = 255
Boxes of 2 - inch = 5
Each box of 2 _inch has equal amount of nails
Total number of nails = 620
Number of nails in each box of 2_inch nails:
Let Number of nails in each box = b
Number of 1_inch + 5 * number of 2_inch = 620
255 + 5b = 620
5b = 620 - 255
5b = 365
5b / 5 = 365 / 5
b = 73
Hence, there are 73 nails in each box of 2_inch nails
Answer: x = 12.124
y = 14
Step-by-step explanation:
In a 30, 60, 90 triangle, the side opposite the 30° angle is half the length of the hypotenuse. So y = 14.
7/sin(30) = 14
You can use the Pythagorean Theorem to calculate x.
14^2= 7^2 + x^2
196 - 49 = x^2
147 = x^2
sr/rt 147 = sq/rt x^2
12.124 = x
Or with trig
7/tan(30)= 12.124
