Answer:
what inequalities? all I see is a black void
Step-by-step explanation:
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:
Step-by-step explanation:
Using implicit differentiation, it is found that y is changing at a rate of 10 units per second.
---------------------
The equation is:
Applying implicit differentiation in function of t, we have that:
- x-values changing at a rate of 2 units per second means that
- Point Q(1,4) means that
.
We want to find 
, thus:
y is changing at a rate of 10 units per second.
A similar problem is given at brainly.com/question/9543179
Answer:
60.00
Step-by-step explanation:
49.75 + 15%(7.46) = 57.21
