Answer:
<em>85 ft</em><em>.</em>
Step-by-step explanation:
8*10=80 (the value of the the rectangle by itself)
then we take the values we are given and find the width and height of the triangle. Knowing it is a right triangle, we perform two equations,
15-10 (the total length of the polygon) 5 ft
and
8-6 (to find the height of the triangle, using the length where the hypotenuse of the triangle cuts off the rectangle) 2 ft
With this, we now have the length and width of the right triangle, and multiply them together to get 10. Because that formula only works on rectangles and squares, but we know that the triangle is a right triangle, we divide the 10 in half to get 5, which is the area of the triangle. Together, the value of the area for the rectangle and the triangle together result in 85 ft (remember to label units when in a written test!)
Total amount of shirt and sneakers: $61.18
Amount leftover: $38.82
The intersection between the curves are
3, 0
0, 3
The volume of the solids is obtained by
V = ∫ π [ (4 - (y-1)²)² - (3 - y)²] dy with limits from 0 to 3
The volume is
V = 108π/5 or 67.86
You can set up an system of equations
x=2y+8
x-y=25
Substitute x in to the second equation
2y+8-y=25
y+8=25
y=17
Substitute the y back in to the first equation.
x=2(17)+8=42
The company has to study 199 machines.
In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.
It is given that;
Margin of error E = 0.7
Confidence interval 98% = 1-0.98 = 0.02
Standard deviation = 6 hours
Number of MRI machines needed per day n, = [(z alpha/2 * SD)/E]²
Z alpha/2 = 1.645 at alpha = 0.1
Inputting these values into n we have that
[(1.645*6)/0.7]²
= 14.1²
= 198.81 is approximately equal to 199
The company has to study 199 machines.
To know more about standard deviation visit: brainly.com/question/475676