First you convert centimeters to meters which will be 35 centimeters-> 0.35 meters
Once you have that, you multiply String A's length (0.35 m) by 5 to find String B's length which will be 1.75 meters.
Now that you have the two lengths you multiply each by 17.
17 x 1.75 = 29.75 and 17 x 0.35 = 5.95
Now you just add 29.75 and 5.95 and you get your answer which is
35.7 meters
f(x)=-3x^2-1
f(-2)= -3(-2)²-1=-3·4-1= - 13
Answer:
148cm^2
Step-by-step explanation:
The formula for surface area of a rectangular prism is 2(hl)+2(hw)+2(wl).
we just plug in the values.
2(6 x 5) + 2(6 x 4) + 2(4 x 5)
= 2(30) + 2(24) + 2(20) then simplify
= 60 + 48 + 40
= 148
Answer:
The Estimated weight of the puppy = 12 pounds
Actual weight of the puppy = 14 pounds
Difference in estimated weight and actual weight = 14 - 12
= 2 pounds
⇒ [(14 - 12)*100]/14
⇒ (2*100)/14
⇒ 200/14
⇒ 14.285 %
Answer:
a) 0.264
b) 48 cubit light-years
Step-by-step explanation:
For calculating a) What is the probability of 3 or more stars in 16 cubic light years?
a)
λ= 1 star/16 cubic light-years
t= measure t in units of 16 cubic light years.
E(Y) = λ t = (1/16)(16) = 1 star
P(X>=2) = 1 - P(X<2)
= 1 - [e^-1 + (e^-1)(1)/1!]
= 0.264
b)
P(X≥1) = 1 - P(X=0)
= 1 - e^-μ
0.95 = 1 - e^-μ
e^-μ = 1 - 0.95
e^-μ = 0.05
ln(e^-μ) = ln(0.05)
-μ = -3
μ = 3
Therefore 3 x 16 = 48 cubic light years of space
