Please help me step by step thanks
1 answer:
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Answer:
The matrix equation is
Step-by-step explanation:
* Lets change the story problem to equations
- The distance between the starting point and checkpoint 1 is x
- The distance between checkpoint 1 to checkpoint 2 is y
- The distance between checkpoint and the finish line is z
- The total distance for the race is 120 miles
∴ x + y + z = 120 ⇒ (1)
-The distance from the starting point to checkpoint 1 is 35 miles
more than half the distance from checkpoint 1 to checkpoint 2
∵ The distance from the starting point to checkpoint 1 is x
∵ The distance from checkpoint 1 to checkpoint 2 is y
- x is more than half y by 35
∴ x = 35 + (1/2) y ⇒ subtract (1/2) y from both sides
∴ x - (1/2) y = 35 ⇒ (2)
- The distance from checkpoint 2 to the finish line is 20 miles less
than twice the distance from checkpoint 1 to checkpoint 2
∵ The distance from checkpoint 2 to the finish line is z
∵ the distance from checkpoint 1 to checkpoint 2 is y
- z is less than twice y by 20
∴ z = 2y - 20 ⇒ add 20 to both sides
∴ z + 20 = 2y ⇒ subtract z from both sides
∴ 2y - z = 20 ⇒ (3)
* Now lets write the three equations
# x + y + z = 120 ⇒ (1)
# x - (1/2) y = 35 ⇒ (2)
# 2y - z = 20 ⇒ (3)
- Now lets write the matrix equation that models this situation
∴
Hi, Laura! ;)
<h2>The answer to the first question is 5,62.</h2><h2><em>Here is the step by step solution</em>: </h2>They want to know the center of a distribution. Another word for center is middle. When you have a set of numbers, you can find the middle by calculating the mean, the "average" of the data set.
1) Add all the numbers: 12,8 + 5,7 + 7,9 + 1,3 + 3,2 + 2,8 = 33,7
2) Divide the sum by the quantity of numbers, which is 6: 33,7 / 6 = 5,616
The closest number to 5,616 is 5,62.
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Now let's answer your second question.
<h2>The correct answer is, indeed, 0,14.</h2><h2><em>How do we get to this number? Here is the step by step solution:</em></h2>1) First step is to find out how many possible outcomes you have. It is the
number of raffle tickets in the box: 200.
2) Then, let's define the number of tickets that are prizes: 4 + 8 + 16 = 28.
The probability of selecting a prize ticket is the number of prize tickets divided by all the raffle tickets in the box: 28 / 200 = 0,14.
Now, let's practice Probability with another Brainly problem:
Good luck, Laura! :)
Function assign value from one set to another. The value of f(5), if f(1) = 3.2 and f(x+1) = Five-halves(f(x)) is 125.
<h3>What is Function?</h3>A function assigns the value of each element of one set to the other specific element of another set.
As it is given the value of the function f(1) is 3.2, while the value of f(x+1) is , therefore, in order to find the value of f(5), we need to calculate the value of f(4).
f(2)
f(3)
f(4)
f(5)
Hence, the value of f(5), if f(1) = 3. 2 and f(x+1) = Five-halves(f(x)) is 125.
Learn more about Function: