Answer:
x= -6
Step-by-step explanation:
Notice that a(-6,7) and b(-6,-3) have the same x-coordinate (-6). This means that x is constant and that the line is a vertical one (x = -6).
The equation of the line through these two points is x = -6.
Answer:
D(L)/dt = 407,6 m/s
Step-by-step explanation:
Let call A the intersection point.
As the cars are driving from perpendicular directions, they form with a coordinates x and y, a right triangle, and distance between them is the hypotenuse (L), then
L² = x² + y²
Taking derivatives with respect to time we have:
2*L* D(L)/dt = 2*x *D(x)/dt + 2*y* D(y)/dt (1)
In this equation we know: At a certain time
x = 444 m and D(x)/dt = 10 m/s
y = 333 m and D(y)/dt = 666 m/s
And L = √(x)² + (y)² ⇒ L = √ (444)² +( 333)² ⇒ L = √197136 + 110889
L = √308025
L = 555 m
Thn plugin these values in euatn (1) we get
2* 555 * D(L)/dt (m) = 2* 444* 10 + 2*333*666 (m*m/s)
D(L)/dt = ( 4440 + 221778)/555 (m/s)
D(L)/dt = 407,6 m/s
Answer:
The player's height is 3.02 standard deviations above the mean.
Step-by-step explanation:
Consider a random variable <em>X</em> following a Normal distribution with parameter <em>μ</em> and <em>σ</em>.
The procedure of standardization transforms individual scores to standard scores for which we know the percentiles (if the data are normally distributed).
Standardization does this by transforming individual scores from different normal distributions to a common normal distribution with a known mean, standard deviation, and percentiles.
A standardized score is the number of standard deviations an observation or data point is above or below the mean.
The standard score of the random variable <em>X</em> is:

These standard scores are also known as <em>z</em>-scores and they follow a Standard normal distribution, i.e. <em>N</em> (0, 1).
It is provided that the height of a successful basketball player is 196 cm.
The standard value of this height is, <em>z</em> = 3.02.
The <em>z</em>-score of 3.02 implies that the player's height is 3.02 standard deviations above the mean.
Answer:
d = 19/5 or, 4.75 in decimal form
Step-by-step explanation:
Answer:
CE = 105
Step-by-step explanation:
CE = CD + DE , hence
6x = 4x + 8 + 27 ( subtract 4x from both sides )
2x = 35 ( divide both sides by 2 )
x = 17.5
⇒ CE = 6 × 17.5 = 105