Answer:
B. Only (-3,5)
Step-by-step explanation:
1. Plug in the x values from the answer choices and see if it gives you the y-value in the answer choices.
A. y=-3(-2) - 4
= 6 - 4
y = 2
The ordered pair for answer A is (-2,4) where the y-value is 4. Well, when you plugged in -2 for x you got 2, not 4. So A can't be the right answer.
B. y=-3(-3) - 4
= 9- 4
y = 5
The y-value in this ordered pair (-3,5) is indeed 5, so this answer holds true.
Therefore, the answer is B because it is the only ordered pair that has the correct solution.
Answer:
2.02
2.15
0.13
Step-by-step explanation:
Fastest time = smallest value = 2.02 secs
Slowest time = largest value = 2.15 secs
Range = largest value - smallest value = 2.15 - 2.02 = 0.13 secs
Answer:
(a) The standard deviation of your waiting time is 4.33 minutes.
(b) The probability that you will have to wait more than 2 standard deviations is 0.4227.
Step-by-step explanation:
Let <em>X</em> = the waiting time for the bus at the parking lot.
The random variable <em>X</em> is uniformly distributed with parameters <em>a</em> = 0 to <em>b</em> = 15.
The probability density function of <em>X</em> is given as follows:

(a)
The standard deviation of a Uniformly distributed random variable is given by:

Compute the standard deviation of the random variable <em>X</em> as follows:




Thus, the standard deviation of your waiting time is 4.33 minutes.
(b)
The value representing 2 standard deviations is:

Compute the value of P (X > 8.66) as follows:





Thus, the probability that you will have to wait more than 2 standard deviations is 0.4227.
Answer: 22
Step-by-step explanation:
Two dozen equals 24, divide it in half leaves 12 vanilla sprinkle doughnuts
the remaining 12 minus the 2 strawberry cream equals 10 chocolate sprinkles
add the 10 chocolate plus 12 vanilla to get 22
g(x):
flip f(x) over x-axist and next translate 2 units down.
Look at the picture.
<h3>Therefore your answer is: B. g(x) = -x² - 2</h3>
Translations
y = f (x) + m up m units
y = f (x) - m down m units
y = f (x + m) left m units
y = f (x - m) right m units
Stretches/Shrinks
y = n · f (x) stretch vertically by a factor of n
y = 1/n · f (x) shrink vertically by a factor of m (stretch by 1/n)
y = f (1/n x) stretch horizonally by a factor of n
y = f (nx) shrink horizontally by a factor of n (stretch by 1/n)
Reflections
y = - f (x) reflect over x-axis (over line y = 0)
y = f (- x) reflect over y-axis (over line x = 0)
x = f (y) reflect over line y = x