Answer:
It will last 11 nights with 7 logs left over.
Step-by-step explanation:
11*8=88
95-88=7
Answer:
4(9a-4)
Step-by-step explanation:
36 and 16 are both divisible by 4
36/4 =9
16/4 =4
36a-16
Factor out 4
4(9a-4)
Let's say the first day he studied for x minutes.
Each day he studies 5 more minutes than his previous day.
Day 2: x +5
Day 3: x + 10
Day 4: x + 15
Day 5: x + 20
And finally the last day: x + 25
To find the difference all u need to do is take the amount he studied on the first day and subtract it by how much he studied the last day.
X - X + 25
Which gives u a difference of 25
Answer:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Solution to the problem
Let X the random variable who represents the variable of interest. We know from the problem that the distribution for the random variable X is given by:
We select a sample of size n=64. That represent the sample size.
From the central limit theorem we know that the distribution for the sample mean is given by:
The mean for the sample distirbution would be given by:
And the deviation given by:
And then the distribution for the sample mean is: