N I believe but I’m not too sure
Answer:
95.44%
Step-by-step explanation:
Mean (m) = 48
Standard deviation (sd) = 9
n = 12
Zscore = (x - m) /sd
X = 30
Zscore = (30 - 48) / 9
Zscore = - 2
X = 66
Zscore = (66 - 48) / 9
Zscore = 2
percentage of daily phone calls numbering between 30 and 66 = P(z < 2) - p(z < - 2)
P(z < 2) = 0.9772
P(z < - 2) = 0.0228
Hence,
0.9772 - 0.0228 = 0.9544
0.9544 * 100% = 95.44
Answer:
<h2>√512 by √512 </h2>
Step-by-step explanation:
Length the length and breadth of the rectangle be x and y.
Area of the rectangle A = Length * breadth
Perimeter P = 2(Length + Breadth)
A = xy and P = 2(x+y)
If the area of the rectangle is 512m², then 512 = xy
x = 512/y
Substituting x = 512/y into the formula for calculating the perimeter;
P = 2(512/y + y)
P = 1024/y + 2y
To get the value of y, we will set dP/dy to zero and solve.
dP/dy = -1024y⁻² + 2
-1024y⁻² + 2 = 0
-1024y⁻² = -2
512y⁻² = 1
y⁻² = 1/512
1/y² = 1/512
y² = 512
y = √512 m
On testing for minimum, we must know that the perimeter is at the minimum when y = √512
From xy = 512
x(√512) = 512
x = 512/√512
On rationalizing, x = 512/√512 * √512 /√512
x = 512√512 /512
x = √512 m
Hence, the dimensions of a rectangle is √512 m by √512 m
9514 1404 393
Answer:
yes
Step-by-step explanation:
A horsepower is on the order of 746 watts*, so 2 1/2 times that will be less than 2500. The motor can be used to drive the fan.
_____
* "horsepower" has several different definitions, depending on the application and the units system being used. All are less than 1000 W, so the above conclusion is valid in any case.
In a graph, "y" axis is the vertical axis and the blue curve is your function "f(x)". So, on the blue curve, trace and mark the place that is the highest in the given window. Notice that when "x" axis (the horizontal one) is π, the blue curve reaches its highest point,
For <span>h(x)=2cos(x)+1</span>, remember that the maximum value for <span>cos(x)</span> is "1". So, the maximum value for<span>h(x)=2(1)+1<span>=3</span></span>
