What type of music do you prefer?
Pop Classical Rap Jazz Rock Row totals
Male student: 80 60 80 70 100 390
Female student: 200 150 20 70 50 490
Column totals: 280 210 100 140 150 880
Pop Classical Rap Jazz Rock Row totals
80 60 80 70 100 390 (Male student)
200 150 20 70 50 490 (Female student)
280 210 100 140 150 880 (Column totals)
Which of the following are possible positive associations or observations? (1 point)
1. Rock music is the most popular music for each category of students.
2. The largest difference in conditional relative frequency between males and females is for pop music.
3. The smallest difference in conditional relative frequency between males and females is for jazz music.
4. Male and female students have the same conditional relative frequency for rap music.
Answer:
The answer is 2.
The largest difference in conditional relative frequency between males and females is is for pop music.
Step-by-step explanation:
males females difference
Pop 80 200 120 ←this shows that pop has the
Classical 60 90 90 greatest difference
Rap 80 20 60
Jazz 70 70 0
Rock 100 50 50
Total 390 490 100
Answer:
it is number 3 The smallest difference in conditional relative frequency between males and females is for jazz music.
Step-by-step explanation:
Answer:
a) Giving Reasons Why the Two Triangles are Similar
Similar triangles have the same shape but can be different sizes. For triangles to be similar, their matching angles must be equal, and their matching sides must have the same proportions.
In this problem, we have two triangles - one made by the tree, its shadow, and the line connecting the top of the tree to the end of the shadow. The other triangle is made the same way using the stick.
The bottom angle where the shadow meets the ground is 14 degrees for both triangles. Also, the vertical angles where the tree and stick meet the ground are both 90-degree right angles. Using those known angles, we can find the remaining top angles in each triangle, which are both 76 degrees (180 - 90 - 14 = 76).
Since the corresponding angles in the tree shadow triangle and the stick shadow triangle are all equal (14, 90, and 76 degrees), the two triangles have the same shape. This means the tree shadow triangle and stick shadow triangle are similar triangles.
b. Find the scale factor for the side lengths of the triangles.
The scale factor between two similar triangles is the ratio of their corresponding sides. In this case, you should use the length of the shadows to calculate the scale factor.
Since the shadow of the stick is 4m long and the shadow of the tree is 8m long, the scale factor from the tree's shadow to the stick's shadow is 4/8 = 0.5, or 1/2.
c. Find the height of the tree.
Given that the triangles are similar, and the scale factor is 1/2, the height of the tree would be twice the height of the stick because the stick's shadow is half the length of the tree's shadow.
So the height of the tree would be 2 * 1m = 2m.
Hope this helps! :)
43.9 + x = 49.65
Subtract 43.9 from both sides:
49.65 - 43.9 = 5.75
The missing number is 5
Use 3.14 to approximate pi, and express your final answer in hundredths.
-----ft3
2.
A package of modeling clay was shaped like a cone with a radius of 24 cm and a height of 6 cm. Miriam used all the clay to make a cylinder with a radius of 16 cm.
What was the height of the cylinder?
Use 3.14 to approximate pi, and express your final answer in tenths.
------cm
3.
A cone-shaped container sits inside a larger cone. The inner cone has a height of 3 in. and a diameter of 6 in. The outer cone has the same diameter and is 15 in. tall. The extra space in the outer cone is filled with crushed ice to keep the contents of the inner cone cool.
What is the volume of crushed ice?
Use 3.14 to approximate pi, and express your final answer in hundredths.
------in3
4.Jade scooped sand from a completely filled cylinder using a cone-shaped container. The cylinder had a diameter of 12 in. and a height of 5 in., and was one-fourth full after she scooped one full scoop of sand.
What were the dimensions of the cone-shaped container? Use 3.14 to approximate pi.
A. h = 5 in.; r = 9 in.
B. h = 9.6 in.; r = 15 in.
C. h = 11.25 in.; r = 12 in
D. h = 15 in.; r = 6 in.
5.A cone-shaped container is filled with liquid. The container has a radius of 60 cm and an height of 210 cm. The liquid is drained from the container at a rate of 1099 cm3 per hour.
How many hours will it take to drain all of the liquid?
Use 3.14 to approximate pi.
--------h
Step-by-step explanation:
BFE + BFG = 180 => Sum of angles on a
straight line
BFE = 180 - BFG
= 180 - 147
= 33
BED + BEF = 180 => Sum of angles on a
straight line
BEF = 180 - BED
= 180 - 4x
EBF + BFE + BEF = 180 => Sum of angles in a
triangle
x + 33 + (180 - 4x) = 180
x + 33 + 180 - 4x = 180
x - 4x + 33 + 180 = 180
-3x + 213 = 180
-3x = 180 - 213
-3x = -33
x = -33/-3 = 11
x = 11
Answer:
x=11 degrees :)