<span>x(t)=2t
y(t)=t^2
A) (-4,4),
x(t)=2t=-4, t=-2
y(-2)=(-2)²=4 , True
</span>B) (-2,-4)
x(t)=2t=-2, t=-1
y(-1)=(-1)²=1 False. we have y=-4
C) (0,0)
x(t)=2t=0, t=0
y(0)=(0)²=0 True
D)(1,2)
x(t)=2t=1, t=1/2
y(1/2)=(1/2)²=1/4 False. we have y=2
E) (6,9)
(-2,-4)
x(t)=2t=6, t=3
y(3)=(3)²=9 True.
Correct answers is A, C, E.
Answer:
The probability density function of <em>X</em> is:
Step-by-step explanation:
A continuous Uniform distribution is the probability distribution of a random outcome of an experiment that lies with certain specific bounds.
Consider that random variable <em>X</em> follows a continuous Uniform distribution and the value of <em>X</em> lies between <em>a</em> and <em>b</em>.
The probability density function of the random variable <em>X</em> is:
Now, in this case it is provided that the amount of salad taken is uniformly distributed between 5 ounces and 15 ounces.
The random variable <em>X</em> is defined as:
<em>Χ</em> = Salad plate filling weight.
The probability density function of the salad plate filling weight is:
Answer:
(
Step-by-step explanation:
Answer:
Speed of hike = 1.7 miles per hour
Step-by-step explanation:
Given:
Total distance = 8 miles
Distance already traveled = 4.6 miles
Total time remain to travel = 2 hour
Find:
Speed of hike
Computation:
Distance remain = Total distance - Distance already traveled
Distance remain = 8 miles - 4.6 miles
Distance remain = 3.4 miles
Speed of hike = Distance remain / Total time remain to travel
Speed of hike = 3.4 / 2
Speed of hike = 1.7 miles per hour
Answer:
The answer is below
Step-by-step explanation:
Natalee transferred water from a square pyramid to a cube. To calculate how many times she will need to dump the water from the pyramid into the cube to completely fill the cube, we divide the volume of the cube by the volume of the square pyramid. Hence:
Number of times = volume of cube / volume of pyramid
The perimeter of the pyramid base = 25 in, hence the length of one side of the bae = 25 / 4 = 6.25 in
Volume of square pyramid = base² × (height / 3) = (6.25 in)² * (5 in / 3) = 65.1 in³
Volume of cube = 125 in³
Number of times = 125 in³ / 65.1 in³ = 1.92
