Answer:
A. 25.14%
B. 0.99%
C. 100%
D. 86.07%
Step-by-step explanation:
μ = 52, σ = 3
Each problem gives you an x value and asks you to find a probability. First calculate the z score(s), then look up in a table or use a calculator.
z = (x − μ) / σ
A. Find P(x < 50)
z = (50 − 52) / 3
z = -0.67
P(z < -0.67) = 0.2514
B. Find P(x > 59)
z = (59 − 52) / 3
z = 2.33
P(z > 2.33) = 1 − 0.9901 = 0.0099
C. Find P(x > 40)
z = (40 − 52) / 3
z = -4
P(z > -4) = 1 − 0 = 1
D. Find P(48 < x < 57)
z₁ = (48 − 52) / 3
z₁ = -1.33
z₂ = (57 − 52) / 3
z₂ = 1.67
P(-1.33 < z < 1.67) = 0.9525 − 0.0918 = 0.8607
I used a z score table. For more accurate answers, use a calculator.
Answer:
Farmer Ed has 60 feet of fencing; and wants to enclose rectangular plot that borders on river: If Farmer Ed does not fence the side along the river; find the length and width of the plot that will maximize the area_ What is the largest area that can be enclosed? What width will maximize the area? The width, labeled x in the figure. (Type an integer or decimal ) What length will maximize the area? The length, labeled in the figure, is (Type an integer or decimal ) What is the largest area that can be enclosed? The largest area that can be enclosed is (Type an integer or decimal.)
You have 120 feet of fencing to enclose a rectangular plot that borders on a river.
Answer:

Step-by-step explanation:
<u>Sinusoid</u>
The shape of a sinusoid is well-know because it describes a curve with a smooth and periodic oscillation. The sine and cosine are the two trigonometric functions in which the graph matches the description of a sinusoid. The sine can be identified because its value is zero at time zero.
The graph shown in the figure corresponds to a sine. The other characteristics of the sine function are
* It completes a cycle in
radians
* It has a maximum of 1 and a minimum of -1
* It's increasing for a quarter of the cycle, decreasing for half of the cycle, and increasing for the remaining quarter of the cycle
* The equation is

The function starts decreasing for the first quarter, which only is possible if the amplitude A is negative. We can also see the maximum and minimum values are 2 and -2 respectively. This means the amplitude is A=-2
We can also see the function completes 3 cycles in
radians or 6 cycles in
radians. Or, equivalently



Thus, the function can be expressed as

Answer: 28.8
Step-by-step explanation:sorry if I’m wrong