Answer: A
Same as before, the functions are the same.
The first function is used for x ≤ 1, because of the closed circle.
The second function is used for x > 1, because of the open circle.
Hooke's law states that F = -kx, so
<span>k = - F/x = - ma / x = - 2.6kg · (-9.8m/s²) / (0.041m) = 621 N/m ← (a) </span>
<span>(b) f = (1/2π) · sqrt(k/m) = (1/2π) · sqrt(621N/m / 2.6kg) = 2.46/s = 2.46Hz </span>
<span>Amplitude is simply 2.1cm</span>
Slope-intercept form is y=mx+b where m=slope and b=y-intercept
therefore, y=-3x-1
Answer:
Lateral Surface Area: 56 in²
Total Surface Area: 81 in²
Step-by-step explanation:
To find the lateral surface area, all we need to do is find the surface area for one of the lateral faces and then multiply it by 4.
Now the area of all the lateral faces:
14*4=56
The total surface area is the lateral area plus the base.
56+(5*5)=56+25=81
Answer:
(a) The probability distribution is valid.
(b) The histogram is attached below.
(c) The mean is 33.47.
Step-by-step explanation:
(a)
A probability distribution is valid if:
- P (X = x) ≥ 0 for all values of <em>x</em>.
- ∑ P (X = x) = 1
From the probability distribution table it can be seen that the probability for all <em>x</em> is greater than 0.
Compute the sum of all probabilities as follow:
Thus, the probability distribution is valid.
(b)
The histogram is attached below.
(c)
The formula of mean of a discrete probability distribution is:
Compute the mean as follows:
Thus, the mean is 33.47.