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%
Answer:
The probability of a correct guess on the first try is 0.024%.
Since a thief steals an atm card and must randomly guess the correct four -digit pin code from a 8 -key keypad, and repetition of digits is allowed, to determine what is the probability of a correct guess on the first try the following calculation must be performed:
8 x 8 x 8 x 8 = X
8 ^ 4 = X
4096 = X
1/4096 = X
0.000244140625 = X
0.000244140625 x 100 = 0.024%
Therefore, the probability of a correct guess on the first try is 0.024%
Step-by-step explanation:
Answer:
The answer is the first one - 8 square roots of 3
Step-by-step explanation:
Using formula is sufficient here.
In hexagon there are 6 same triangles.
You calculate the area of one of them by formula (1/2)*(2)*(4square root of 3/3)
You multiply that by 6 and simplify.
The answer is the first one - 8 square roots of 3
I hope I helped you and I will be happy If you mark my answer as brainliest.
Step-by-step explanation:
nm=16
m=16/n
m=16/8
m=2
Answer:
n = -15 and n = 9. n = -15 is not reasonable because you can't have negative boxes or negative units of measurement.
Step-by-step explanation:
8(n + 2)(n + 4) = 1,144
(n + 2)(n + 4) = 143
n^2 + 2n + 4n + 8 = 143
n^2 + 6n - 135 = 0
(n + 15)(n - 9) = 0
n + 15 = 0
n = -15
n - 9 = 0
n = 9
I got two solutions: n = -15 and n = 9. Only one is reasonable because you cannot have a negative number of boxes or negative weight.
Hope this helps!
