3a+b+c
The perimeter is two times one side (to account for the opposite) and two times the adjacent side. So if the sides would be x and y, the perimeter would be 2*x + 2*y.
So, knowing that the sum is 16a+8b-6c, if we subtract the given side 5a+3b-4c from this, what remains is two times the "other" side:
16a+8b-6c - 2*(5a+3b-4c) =
16a+8b-6c -10a-6b+8c =
6a+2b+2c
half of that is
(6a+2b+2c)/2 = 3a+b+c
Answer:
x=26
Step-by-step explanation:
4x-8+34+76-x=180
4x-x-8+34+76=180
3x+102=180
3x=180-102
3x=78
x=78/3
x=26
Answer:
99.7%
Step-by-step explanation:
Using the z score formula
z-score is z = (x-μ)/σ
where:
x = raw score
μ = population mean
σ = population standard deviation.
a) for x = raw score = 35
μ = population mean = 44
σ = population standard deviation =3
z = (35 - 44)/3
z = -9/3
z = -3
b) for x = raw score = 53
μ = population mean = 44
σ = population standard deviation =3
z = (53 - 44)/3
z = 9/3
z = 3
We would use the standard normal distribution table to find their probabilities
P(Z<=-3)=0.0013499
P(Z<=+3)=0.99865
So P(-3<=Z<=3)=0.99865 - 0.0013499 = 0.9973
Converting to percentage = 0.9973 × 100 = 99.73%
Therefore, the percentage of auto batteries of this brand that have a life of 35 to 53 months to one decimal place is 99.7%
