<h2>
Answer:</h2>
Option: C is the correct answer.
C) The equation is y = 2x, and the height is 40 inches.
<h2>
Step-by-step explanation:</h2>
We could clearly observe that the line of best fit passes through the point (0,0) and (20,40)
We know that the equation of a line passing through point (a,b) and (c,d) is calculated by the help of the formula:
Here we have:
(a,b)=(0,0) and (c,d)=(20,40)
Hence, the equation of line of best fit is:
Hence, the equation is:
y=2x
Also when x=20 we have:
y=40
Hey there! I'm happy to help!
To find this other side given an angle and a side, we will use a trigonometric function. The three basic ones are sine, cosine, and tangent. You can remember these and what what they are using the mnemonic "soh cah toa".
SOH: Sine= Opposite/Hypotenuse
CAH: Cosine= Adjacent/Hypotenuse
TOA: Tangent= Opposite/Adjacent
We see that the sides involved are the opposite and hypotenuse.
Therefore, we can write this equation.
sin40= w/28
We multiply both sides by 28 to isolate the w.
28×sin40=w
Now, we find the sine of 40 on our calculator and then we multiply it by 28.
w≈18
Therefore, the answer is 18 cm.
I hope that this helps! Have a wonderful day!
Answer:
Where 
and 
And the z score is given by:
And since z = 0.75 we can replace like this:
And if we solve for x 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 ACT scores of a population, and for this case we know the distribution for X is given by:
Where and
And the z score is given by:
And since z = 0.75 we can replace like this:
And if we solve for x we got:
Answer:
x
Step-by-step explanation:
the value of x is the input and value of y is the output
