I'm almost positive that the answer is 60 miles an hour but if I'm wrong I'm sorry. I think it's 60 cause in 4 hours they drove 240 miles and 240 divided by 40 is 60
Part A)
y < 2*x
y > 4/5*x
The graph will shade below the line y = 2x (not including the line),
and above the line y = 4/5*x (not including the line).
Where the shaded regions overlap is the solution area.
In the graph, the overlapping region is darkest.
part b) verify that point C and point F satisfy the inequalities
plug in point C and point F separately.
you should get a true statement, each time
part c) if we graph
y < -2x + 2
over the plotted points
lets see what points it covers
The shade region covers points A,B,D
so those are the schools she can attend
Answer:
95.86% probability that the sample proportion will differ from the population proportion by less than 3%
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
For a proportion, we have that:
What is the probability that the sample proportion will differ from the population proportion by less than 3%
This is the pvalue of Z when X = 0.07 + 0.03 = 0.1 subtracted by the pvalue of Z when X = 0.07 - 0.03 = 0.04. So
X = 0.1
has a pvalue of 0.9793
X = 0.04
has a pvalue of 0.0207
0.9793 - 0.0207 = 0.9586
95.86% probability that the sample proportion will differ from the population proportion by less than 3%
Answer:
Y=x(5)+120
Step-by-step explanation:
Y= the money you have to pay for the party
X(5)= you multiply x by 5
+120= you add the fee
The fraction 16/4 leads to 4 when division is applied. The number 4 is a whole number and whole numbers are classified as integers. The decimal 12.5 is the improper fraction 125/10. The fraction 125/10 leads to a decinal number which is not a whole number. In conclusion, 16/4 is the whole number 4 while 12.5 is a decimal number and decimal numbers are not integers.