Answer:
0.07215 = 0.072 to 3 d.p.
Step-by-step explanation:
Central limit theorem explains that the sampling distribution obtained from this distribution will be approximately a normal distribution with
Mean = population mean
μₓ = μ = 9.8 minutes
Standard deviation of the distribution of sample means = σₓ = (σ/√n)
σ = 12 minutes
n = sample size = 30
σₓ = (12/√30) = 2.191
Probability that a random sample of 30 overtime periods would have a (sample) mean length of more than 13 minutes
Required probability = P(x > 13)
Since we've established that this distribution of sample means approximates a normal distribution
We first standardize 13 minutes.
The standardized score for any value is the value minus the mean then divided by the standard deviation.
z = (x - μ)/σ = (13 - 9.8)/2.191 = 1.46
Required probability
P(x > 13) = P(z > 1.46)
We'll use data from the normal probability table for these probabilities
P(x > 13) = P(z > 1.46) = 1 - P(z ≤ 1.46)
= 1 - 0.92785 = 0.07215
Hope this Helps!!!
Answer:
The given expression is equal to -5
Step-by-step explanation:
Given that:
= (4−3)−6
solving bracket first as 4 -3 equals 1
= 1-6
Subtracting greater term from smaller gives the negative value
= -5
So the given expression will be equal to -5
i hope it will help you!
Answer:
His friend lives 7.29 miles away
Step-by-step explanation:
All you have to do is times 0.27 by 27 and you get 7.29
Answer:
The answer for first one is,
a³
Answer for Second one is,
n.
Answer for 3rd one is.
-3y
Answer for number four.
x⁹
sorry couldn't answer number 5.
If you have several different sized pizzas, you can compare their areas. So the area of a pizza is the length of the crust (circumference) divided by two times the distance from the edge to the middle (radius). Mathematicians use a special number called pi to calculate the circumference of a circle.
