The best and most correct answer among the choices provided by your question is the second choice or letter B "20".
The current area is 120(80)=9600 and he want to expand it by 4400 so that the new area will be 9600+4400=14000
14000=(120+x)(80+x)
14000=9600+200x+x^2
x^2+200x-4400=0
x^2-20x+220x-4400=0
x(x-20)+220(x-20)=0
(x+220)(x-20)=0, since x is an increase it must be greater than zero so
x=20ft
(120+20)(80+20)=14000ft^2
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Answer:
there is no collision between the particles
Step-by-step explanation:
for the first particle
x1=3sin t, y1 = 2 cos t, 0 ≤ t ≤ 2π
for the second particle
x2 = -3 + cos t, y2 = 1 + sin t, 0 ≤ t ≤ 2π
then for the collision
x1=x2 → 3*sin t = -3 + cos t → sin t= -1 + (cos t)/3→ 1+ sin t = (1/3)cos t
y1=y2 → 1 + sin t = 2 cos t → (1/3)cos t = 2 cos t →(1/3) = 2
since 1/3 ≠ 2 there is no collision between the particles
Answer:
option (a) It will be closer to 30 than to 20
Step-by-step explanation:
Data provided in the question:
For sample 1:
n₁ = 10
variance, s₁² = 20
For sample 2:
n₂ = 15
variance, s₂² = 30
Now,
The pooled variance is calculated using the formula,
on substituting the given respective values, we get
or
= 26.0869
Hence,
the pooled variance will be closer to 30 than to 20
Therefore,
The correct answer is option (a) It will be closer to 30 than to 20
Answer:
64 ivy stems
Step-by-step explanation:
To solve this problem we can use rule of three:
Firstly we had 72 ivy stems to use in 18 centerpieces, and know we have 16 centerpieces and want to know how many ivy stems we need to use, so:
18 centerpieces -> 72 ivy stems
16 centerpieces -> X ivy stems
18/16 = 72/X
X = 16*72/18 = 64
He needs to use now 64 ivy stems to maintain the ratio.
I don’t that’s a question