<h3>Answers:</h3>
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Explanation:
x = number of seconds that elapse
y = altitude (aka height) of the plane
The equation for plane A is
y = 20.25x+2652
because it starts off at 2652 ft in the air, and then adds on 20.25 feet per second which is what the 20.25x describes
The equation for plane B is
y = 75.5x
The y intercept is zero because plane B starts on the ground, aka height 0.
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The system of equations is
If we want to know when they'll reach the same height (y), then we can set the two right hand sides equal to each other and solve for x.
75.5x = 20.25x+2652
75.5x-20.25x = 2652
55.25x = 2652
x = (2652)/(55.25)
x = 48
The two planes reach the same altitude at exactly <u>48 seconds</u>
That altitude is <u>3624 feet</u> because
- y = 20.25*x + 2652 = 20.25*48+2652 = 3624
- y = 75.5*x = 75.5*48 = 3624
Notice I plugged x = 48 into each equation and I got the same y value of y = 3624. This helps confirm the answers.
Answer:
Step-by-step explanation:
Given that for a biology project, you measure the weight in grams and the tail length in millimeters of a group of mice.
The correlation is r = 0.9
If you had measured tail length in centimeters instead of millimeters, what would be the correlation?
For this we must understand the meaning of correlation and formula
Correlation is a measure of linear association between the two variables and always lie between -1 and 1
This is got by dividing covariance of (x,y) by product of std deviation of x and y
So because we changed the units of length correlation coefficient would not change.
It would remain the same as 0.90
The correct choice is A. When something is being increased by a percentage, you add the percentage to 100%, so you add 35% to 100% to make a decimal of 1.35. Every year the initial value of 590 will be increased by 35%. so the correct choice is A.
The point-slope formula is y-y1=m(x-x1). You will then substitute into this equation. The answer will be y-2=-8(x+3).
Answer: $26
Step-by-step explanation:
If $19.50 is 3/4, we need to find 4/4.
3/4 -> 0.75
4/4 -> 1
We will set up a proportion and solve.
19.5 = 0.75x
26 = x
The professional ball is $26.
