The equation would be ' y = 1/2x'
The photo of my working will be attached.
Answer:
A = 73.33
B = 53.33
C = 53.33
Step-by-step explanation:
Mathematically, adding the 3 angles would equal 180
Thus;
A + B + C = 180 •••••(i)
Since B and C are congruent, that means they are equal ( we are looking at isosceles triangle)
B = C •••••••••(ii)
Lastly;
B = A -20 ••••••••(iii)
Make a substitution in equation 1;
A + A -20 + A -20 = 180
Since B = C ; C also is A-20
3A -40 = 180
3A = 220
A = 220/3 = 73.33
B = C = A -20 = 73.33 -20 = 53.33
Answer:
a) the probability that the minimum of the three is between 75 and 90 is 0.00072
b) the probability that the second smallest of the three is between 75 and 90 is 0.396
Step-by-step explanation:
Given that;
fx(x) = { 1/5 ; 50 < x < 100
0, otherwise}
Fx(x) = { x-50 / 50 ; 50 < x < 100
1 ; x > 100
a)
n = 3
F(1) (x) = nf(x) ( 1-F(x)^n-1
= 3 × 1/50 ( 1 - ((x-50)/50)²
= 3/50 (( 100 - x)/50)²
=3/50³ ( 100 - x)²
Therefore P ( 75 < (x) < 90) = ⁹⁰∫₇₅ 3/50³ ( 100 - x)² dx
= 3/50³ [ -2 (100 - x ]₇₅⁹⁰
= (3 ( -20 + 50)) / 50₃
= 9 / 12500 = 0.00072
b)
f(k) (x) = nf(x) ( ⁿ⁻¹_k₋ ₁) ( F(x) )^k-1 ; ( 1 - F(x) )^n-k
Now for n = 3, k = 2
f(2) (x) = 3f(x) × 2 × (x-50 / 50) ( 1 - (x-50 / 50))
= 6 × 1/50 × ( x-50 / 50) ( 100-x / 50)
= 6/50³ ( 150x - x² - 5000 )
therefore
P( 75 < x2 < 90 ) = 6/50³ ⁹⁰∫₇₅ ( 150x - x² - 5000 ) dx
= 99 / 250 = 0.396
Answer:
Cost to arrange the event for 5 attendees will be $20.
Step-by-step explanation:
We have to solve this question by calculating the unit rates or unitary method.
Since cost to arrange corporate team building event for 3 attendees is = $12
Cost to arrange the event for 1 attendee will be = 
= $4
Therefore, cost to arrange the event for five attendees will be = 5×4 = $20
Answer:
x=162
Step-by-step explanation:
101 + 123 + 104 + 112 + 106 + 162 / 6 = 118
