Step-by-step explanation:
Let the first integer be x
2nd integer = x + 1
3rd integer = x + 2
x + x + 1 + x + 2 = -147
3x + 3 = -147
3x = -147 - 3
3x = -150
x = -150 ÷ 3
x = -50
The three consecutive integers are
-50, -49, -48
Answer:
Step-by-step explanation:
f(x) = 3x + 1 and g(x) = x^2 - 6
(f + g) (x)
(3x + 1) + (x^2 - 6)
3x + 1 + x^2 - 6
3x - 5 - x^2
=> -x^2 + 3x - 5
I hope this helps!
Answer: the probability that a measurement exceeds 13 milliamperes is 0.067
Step-by-step explanation:
Suppose that the current measurements in a strip of wire are assumed to follow a normal distribution, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = current measurements in a strip.
µ = mean current
σ = standard deviation
From the information given,
µ = 10
σ = 2
We want to find the probability that a measurement exceeds 13 milliamperes. It is expressed as
P(x > 13) = 1 - P(x ≤ 13)
For x = 13,
z = (13 - 10)/2 = 1.5
Looking at the normal distribution table, the probability corresponding to the z score is 0.933
P(x > 13) = 1 - 0.933 = 0.067
Answer:
1) Ben, 2) 
, 3) 
, 4) 
Step-by-step explanation:
1) Ben has a higher rate of memorization, since the coefficient of the second power is lesser than the one from Alice.
2) The number of words can be estimated by integrating the function:
Alice
Ben
3) The average amount of words per minute is:
4) The average amount of words per minute is:
Hello,
Let l represent length
w represent width
P represent perimeter
P=2(l+w)
22=2(l+w)
Divide 2 from both side
22/2=2(l+w)/2
11=l+w
l=2w+2
Apply this into the first equation
2w+2+w=11
3w+2=11
Subtract 2 from both side
3w+2-2=11-2
3w=9
Divided 3 from both side
3w/3=9/3
w=3 meters
l=2w+2
l=2(3)+2
l=8 meters
If you want to find the area
A=l×w
A=8×3
A=24 square meters. As a result, the length of this rectangle is 8 meters, width is 3 meters, and area is 24 square meters. Hope it help!
