Answer:
34
Step-by-step explanation:
The mean is calculated as
mean = 
let x be the missing frequency, then
Total frequency × midpoint
= (16 × 2) + 7x + (20 × 12) + (10 × 17) = 32 + 7x + 240 + 170 = 442 + 7x
Total frequency = 16 + x + 20 + 10 = 46 + x, thus
= 8.5 ( cross- multiply )
442 + 7x = 8.5(46 + x)
442 + 7x = 391 + 8.5x ( subtract 8.5x from both sides )
442 - 1.5x = 391 ( subtract 442 from both sides )
- 1.5x = - 51 ( divide both sides by - 1.5 )
x = 34
The missing frequency is 34
If 2 cm = 4 feet then 1 cm = 2 feet
8 cm ⇒ 16 feet
6 cm ⇒ 12 feet
So it is 16 length and 12 width
hello :<span>
<span>an equation of the circle Center at the
A(a,b) and ridus : r is :
(x-a)² +(y-b)² = r²
in this exercice : a = - 3 and b = 2 (Center at </span></span> A(-3,2))
<span>
r = AP....P(2,-5)
r² = (AP)²
r² = (2+3)² +(-5-2)² = 25+49=74
an equation of the circle that satisfies the stated conditions.
Center at </span> A(-3,2), passing through P(2, −5) is : (x+3)² +(y-2)² = 74
The percentage of Container A that is full after the pumping is complete is; 45.3%
<h3>How to find the Volume of a Cylinder?</h3>
The formula for volume of a cylinder is;
V = πr²h
Volume of Cylinder A is;
V = π × 12² × 13
V = 1872π
Volume of Cylinder B is;
V = π × 8² × 16
V = 1024π
After pumping, volume in container A will be;
V_new = 1872π - 1024π
V_new = 848π
Percentage is;
848π/1872π * 100% = 45.3%
Thus, 45.3% of Container A is full after the pumping is complete.
Read more about Volume of a Cylinder at; brainly.com/question/12425898
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Answer:
see below
Step-by-step explanation:
start with cos (x)
amplitude 4
4 cos x
midline 2
4 cos (x ) + 2
period of 1 : 2 pi / 1 = 2 pi
multiply x by 2pi
<u> 4 cos ( 2 pi x) + 2 </u>
