Answer:
1 minute and 8 seconds or 1:08
Step-by-step explanation:
by subtracting both at starting with 9:17-8:49 you will get a uneven decimal than you gonna have to give as much 60 seconds you can get out of it the 60 seconds equals a minute
Based on the above scenario, the sales director conducted an <u>experiment</u>.
- Because a treatment <u>was </u>applied to the sales representatives.
- The the best statistical study for this situation because the sales director is trying to establish <u>correlation</u>.
<h3>What is an experiment?</h3>
An experiment is known to be a method that is et up with the aim to test a given hypothesis as a component of a scientific method.
In an experiment, there are the two key variables which are the independent and dependent variables. The independent variable is known to be a controlled or it is tested against the dependent variable.
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Part A.
The sales director conducted a.) an experiment b.) a survey c.)an observational study because a treatment a.) was not b.)was applied to the sales representatives.
This is the best statistical study for this situation because the sales director is trying to establish a.) causality b.) correlation.
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Answer:
The value of the maximum distance the spring will be compressed
x = 0.143 m= 14.3 cm
Step-by-step explanation:
Given data
Mass m = 1.5 kg
h = 0.9 m
k = 1500
Since the book is released from a height h = 0.9 m above the top of the spring. so the total distance
y = h + x
Now in that case for the spring


By rearranging the above equation we get

Put all the values in above equation we get

By solving the above equation we get
x = 0.143 m= 14.3 cm
This is the value of the maximum distance the spring will be compressed.
Hello!
To find the maximum value of the function f(x) = -3(x - 10)(x - 4), the easiest way is to find the vertex using the formula: x = -b/2a.
Firstly, we need to simplify f(x).
f(x) = -3(x - 10)(x - 4)
f(x) = -3(x² - 14x + 40)
f(x) = -3x² + 42x + -120
Since the equation f(x) is now simplified to standard form, we can find the vertex.
a = -3, b = 42, and c = -120
x = -(42)/2(-3) = -42/-6 = 7
Then, we substitute 7 into the the function f(x) = -3(x - 10)(x - 4), or
f(x) = -3x² + 42x + -120, to find the y-value of the vertex.
f(x) = -3(7 - 10)(7 - 4)
f(x) = -3(-3)(4)
f(x) = 27
The vertex of f(x) is (7, 27).
Therefore, the maximum x-value for the function f(x) is 7.
Well in a right angle triangle, we know that angle C would be 90 degrees, we can check this by solving for X and seeing if the expression 2x will give us a value of 90 degrees.
So 2x = 90
X = 90/2
X = 45 degrees.
90 = 2x
90 = 2(45)
90 = 90.
Thus since the equation is true, X = 45 degrees, we can also solve for the remaining angles knowing what X is.