Answer:
12. 114 Laps
13. 234 students don't ride the bus.
14. 1.5% of 26,500.60 is 397.50 so the answer is $26,500.60
15. 24% × 63.4 = 15.2 so the original weight of the bag is 63.4 pounds
Step-by-step explanation:
Answer:
18.18 miles.
Step-by-step explanation:
A truck uses 1 tablespoon of gasoline to drive 125 yards.
Now, 1 gallon of gasoline contains 256 tablespoons of gasoline.
So, the truck uses 1 gallon i.e. 256 tablespoons of gasoline to drive (256 × 125) = 32000 yards.
Now, 1-mile distance contains 1760 yards.
Therefore, the truck uses 1 gallon of gasoline to drive
miles. (Answer)
Answer:
a) 

b) From the central limit theorem we know that the distribution for the sample mean
is given by:
c)
Step-by-step explanation:
Let X the random variable the represent the scores for the test analyzed. We know that:

And we select a sample size of 64.
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".
Part a
For this case the mean and standard error for the sample mean would be given by:


Part b
From the central limit theorem we know that the distribution for the sample mean
is given by:
Part c
For this case we want this probability:

And we can use the z score defined as:

And using this we got:
And using a calculator, excel or the normal standard table we have that:
the sequence is in multiples of 4 (2*4=8, 8*4=32, 32*4=128)
so 128*4=512, 512*4=2048, 2048*4=8192 & 8192*4=32768
2+8+32+128+512+2048+8192+32768=43690