Answers:
- Exactly 25%
- median = 450
- Not enough info (see below)
- IQR = 24
- IQR = 192
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Explanations:
- By definition, the quartiles split the data into four equal parts. The first quartile (Q1) will have 25% of the data below it.
- The second quartile is the exact same value as the median. This is because the median splits the data into two equal halves, i.e. is at the midpoint.
- There's not enough info. We can determine that 25% of the company makes more than $60,000, but we don't know how many people total work at the company. This info is missing.
- Subtract the third and first quartiles (Q3 and Q1) to get the interquartile range (IQR). So IQR = Q3 - Q1 = 45-21 = 24
- Same idea as the previous problem. IQR = Q3 - Q1 = 316.5 - 124.5 = 192
Answer:
The ladder reaches 4.8 ft up the wall
Step-by-step explanation:
Realize the tangent function has a period of 180°, so when your calculator (or memory) tells you
.. θ = arctan(-1)
.. θ = -45°
you can translate that value into the desired range by adding multiples of 180° to get the two solutions ...
.. θ = 135°
.. θ = 315°
Answer:
Probability that she or he bought lunch in the cafeteria and chose pizza as an entree = 12/100 =0.12 = 12%
Explanation:
Let number of students be 100.
At Taylor Street School, 40% of the students bought lunch in the cafeteria today
Number of students bought lunch = 100 x 40/100 = 40
Of the students who bought lunch in the cafeteria today, 30% chose pizza as their entree
Number of students bought pizza = 40 x 30/100 = 12.
Probability of an outcome = Number of favorable outcome/ Total number of outcome
Probability that she or he bought lunch in the cafeteria and chose pizza as an entree = Number of students bought pizza/Total number of students
= 12/100 =0.12 = 12%
Probability that she or he bought lunch in the cafeteria and chose pizza as an entree = 12/100 =0.12 = 12%
Answer:
m = -32.10
Step-by-step explanation:
You solve this the same way you do any two-step linear equation.
1. Subtract the constant that is on the side of the equal sign with the variable term:
m/5 = -6.42
2. Multiply by the inverse of the coefficient of the variable. That means multiply by 5 in this case.
m = 5·(-6.42) = -32.10
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Of course, the rules of equality tell you whatever you do to one side of the equation must also be done to the other side. So, when we say subtract 0.12, we mean subtract 0.12 from both sides of the equation. The same for multiplication or division.
