We want to determine if the probability that a student enrolled in an accelerated math pathway is independent of whether the stu
1 answer:
Answer:
The correct option is (c).
Step-by-step explanation:
The complete question is:
The data for the student enrollment at a college in Southern California is:
Traditional Accelerated Total
Math-pathway Math-pathway
Female 1244 116 1360
Male 1054 54 1108
Total 2298 170 2468
We want to determine if the probability that a student enrolled in an accelerated math pathway is independent of whether the student is female. Which of the following pairs of probabilities is not a useful comparison?
a. 1360/2468 and 116/170
b. 170/2468 and 116/1360
c. 1360/2468 and 170/2468
Solution:
If two events <em>A</em> and <em>B</em> are independent then:
In this case we need to determine whether a student enrolled in an accelerated math pathway is independent of the student being a female.
Consider the following probabilities:
If the two events are independent then:
P (F|A) = P(F)
&
P (A|F) = P (A)
But what would not be a valid comparison is:
P (A) = P(F)
Thus, the correct option is (c).
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Answer:
She should order 96 orange shirts
Step-by-step explanation:
The picture is shown below.
From the picture below Joan sold 10 blue shirts, 3 gray shirts , 5 orange shirts and 8 green shirts out of the colored Shirts. The ratio of the colored shirt sold are 10 : 3 : 5 : 8 . The total shirt sold that week is 10 + 3 + 5 + 8 = 26 colored shirts.
If she assumes the trend is going to continue the number of orange she should order can be calculated below.
Let us find the ratio of orange shirt sold to the total colored shirt sold.
orange shirt sold / total colored shirt sold = 5/26
This means every group of 26 colored shirts sold will have 5 orange shirt . So they told us she requested a total of 500 colored shirts . Following the same trend, how many group of 26 colored shirt are in 500.
5/26 = x/ 500
cross multiply
2500 = 26x
divide both sides by 26
x = 2500/26
x = 96.15
x = 96 orange shirts
She should order 96 orange shirts
Answer:
Step-by-step explanation:
Consider right triangle ADH ( it is right triangle, because CH is the altitude). In this triangle, the hypotenuse AD = 8 cm and the leg DH = 4 cm. If the leg is half of the hypotenuse, then the opposite to this leg angle is equal to 30°.
By the Pythagorean theorem,
AL is angle A bisector, then angle A is 60°. Use the angle's bisector property:
Consider right triangle CAH.By the Pythagorean theorem,
The length cannot be negative, so CD=8 cm and
In right triangle ABC, angle B = 90° - 60° = 30°, leg AC is opposite to 30°, and the hypotenuse AB is twice the leg AC. Hence,
By the Pythagorean theorem,
