Alan's dogs have a total of 24 legs (l). if each dog has 4 legs, which equation gives the number of dogs (
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
<u>Given information</u>
∡1 = 35°
∡b = ?
Total Angle = 180° (Supplementary Angle)
<u>Derived formula from the given information</u>
∡1 + ∡b = Total Angle
<u>Substitute values into the given formula</u>
(35) + b = 180
<u>Subtract 35 on both sides</u>
35 + b - 35 = 180 - 35
Hope this helps!! :)
Please let me know if you have any questions
Answer:
a) 30.85% of people earn less than $40,000
b) 37.21% of people earn between $45,000 and $65,000.
c) 15.87% of people earn more than $70,000
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:
a.What percent of people earn less than $40,000?
This is the pvalue of Z when X = 40000. So
has a pvalue of 0.3085.
30.85% of people earn less than $40,000
b.What percent of people earn between $45,000 and $65,000?
This is the pvalue of Z when X = 65000 subtracted by the pvalue of Z when X = 45000. So
X = 65000
has a pvalue of 0.7734.
X = 45000
has a pvalue of 0.4013.
0.7734 - 0.4013 = 0.3721
37.21% of people earn between $45,000 and $65,000.
c.What percent of people earn more than $70,000?
This is 1 subtracted by the pvalue of Z when X = 70000. So
has a pvalue of 0.8413.
1 - 0.8413 = 0.1587
15.87% of people earn more than $70,000