Answer:
16 people
Step-by-step explanation:
This is a set problem
let first session be a
let second session be b
128 people attended at least one session = a∪b
a. 3/4 attended both session 1&2 = a∩b
b. 7/8 attended session 2 = p(b) i.e population b
c x attended session 1 = p(a) i.e. population a
lets get the figures.
- For both sessions 3/4 × 128 = 96 = a∩b
- For second session 7/8 × 128 = 112 = b
- The formular is a∪b = p(a) + p(b) - a∩b
- a∪b = 128 (they at least one session)
lets substitute into the equation
let p(a) be x
128 = x + 112 - 96
128 = x + 16
x = 112 - no of people that attended the morning session.
But to find those that ONLY attended morning session
x - a∩b
112 - 96 = 16
Answer:2
Step-by-step explanation:
Because it doubled
Answer:
192 cm³
Step-by-step explanation:
V = w · h · l
4 · 6 · 8
192 cm³
Answer:
B.) 113°
Step-by-step explanation:
In the isosceles trapezoid, angles T and S are congruent. Find the value of x:
Subtract 4x from both sides:
Add 38 to both sides:
Divide both sides by 3:
x is equal to 15. Now substitute the value of x into the one of the expressions:
or
The angles T and S are 67°.
The angles of a trapezoid will always add up to a total of 360°, so add the angles T and S:
Subtract their total from 360:
The total of the angles Q and R is 226°. Since this is an isosceles trapezoid, those two angles are also congruent. Divide the value by 2:
Angle R is 113°.
Done.
Answer:
<u>The diameter of the sphere is = 36 in.</u>
<u></u>
Step-by-step explanation:
V = 4π r^3/3
24416.64 = (4(3.14) r^3)/3
73249.92 = 12.56 r^3
r^3 = 5832
r = cube root of 5832 = 18
<u>diameter = 36 in.</u>
<u></u>
