Answer:
P(Male or Type B) > P(Male | Type B)
Step-by-step explanation:
Total Female = 85 type A, 12 type B ⇒ 97 Female.
Total Male = 65 type A, 38 type B ⇒ 103 Male
Total type A = 65 + 85 = 150
Total type B = 12 + 38 = 50
total number of people = 97 + 103 = 200
Then the probability would be:
P(Male | Type B) = 
= 
= 0.368
P(Male or Type B) = 
= 
= 
= 
= 0.575
Hence, P(Male or Type B) > P(Male | Type B)
Answer:
- time = 1second
- maximum height = 16m
Step-by-step explanation:
Given the height of a pumpkin t seconds after it is launched from a catapult modelled by the equation
f(t)=-16t²+32t... (1)
The pumpkin reaches its maximum height when the velocity is zero.
Velocity = {d(f(x)}/dt = -32t+32
Since v = 0m/s (at maximum height)
-32t+32 = 0
-32t = -32
t = -32/-32
t = 1sec
The pumpkin reaches its maximum height after 1second.
Maximum height of the pumpkin is gotten by substituting t = 1sec into equation (1)
f(1) = -16(1)²+32(1)
f(1) = -16+32
f(1) = 16m
The maximum height of the pumpkin is 16m
Answer: 10 inches × 14 inches
Work:
length = x inches
width = x - 4 inches
perimeter = 2(l+w)
48 = 2[(x)+(x - 4)]
48 = 2(2x - 4)
24 = 2x - 4
28 = 2x
14 = x
length = x inches = 14 inches
width = x - 4 inches = 14 - 4 = 10 inches
Step 1:
Set Variables (We will use x & y)
x = years
y = total orangutan population
Step 2:
Set up Equations
784 - 25x = y
817 - 36x = y
Step 3:
Set equations equal to each other & solve
784 - 25x = 817 - 36x
784 = 817 - 11x
-33 = -11x
3 years = x
Answer:
x = 76.9
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp side / adj side
tan 70 = x/28
28 tan 70 = x
x=76.92936
Rounding to the nearest tenth
x = 76.9
