Answer:
a)False: In a sample of 100 men who are heavy smokers, exactly 24 of them will contract lung cancer.
b)True: In a sample of 100 men who are heavy smokers, the number who will contract lung cancer is likely to be close to 24.
c)True: As more and more heavy-smoking men are sampled, the proportion who contract lung cancer will approach 0.24. Circle one: TRUE FALSE
Answer:
a. 5177 cm³
b. 3,451 cm³
c. 67%
Step-by-step explanation:
Given:
Diameter of each ball (d) = 13 cm
Radius of the ball (r) = radius of the cylinder = ½(13) = 6.5 cm
Height of the cylinder (h) = the sum of the diameters of the 3 balls = 3(13) = 39 cm
a. Volume of cylinder = πr²h
Plug in the values
Volume of cylinder = π*6.5²*39 = 5176.56 ≈ 5177 cm³
b. Total volume of the three balls = 3(volume of 1 ball) = 3(volume of sphere) = 3(⁴/3πr³)
Plug in the value
Total volume of the 3 balls = 3(⁴/3*π*6.5³) = 3(1150.35) = 3,451.05 ≈ 3,451 cm³
c. % of volume of the container occupied by the 3 balls = total volume of the three balls / volume of cylinder × 100
Plug in the values
= 3,451/5177 × 100
= 66.6602279
≈ 67%
Answer:
32 yd
Step-by-step explanation:
The area of a triangle is calculated by multiplying each of the sides lengths together, 8x8, and dividing it by two which equals 32.
Answer:
a)10
b)5120
Step-by-step explanation:
Given that number of ants double after every ten days, form a table that shows numbe of ants from day 1 to day 91
Day Number of Ants
1 10
11 20
21 40
31 80
41 160
<em>51 320-----------------given</em>
<em>61 640------------------given</em>
<em>71 1280----------------given</em>
81 2560
91 5120
Using the given values for number of ants and the number of days, you can notice the trend for values of days and number of ants.After every ten days, number of ants doubles.Using this information, you can navigate backwards up to day 1 and forward up to day 91
