Hanna picks up strawberries. she can either choose getting 74$ per hour or 3 $ per basket. she says she can pick up 10 basket in
1 answer:
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Answer:
12.08
Step-by-step explanation:
For each sunflower, there are only two possible outcomes. Either it germinates, or it does not. The probability of a sunflower germinating is independent of other sunflowers. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The standard deviation of the binomial distribution is:
Seventy-six percent of sunflower seeds will germinate into a flower
This means that
Samples of 800:
This means that
The standard deviation for the number of sunflower seeds that will germinate in such samples of size 800 is:
Answer:
The volume of the space between the balls and the rectangular box is
Step-by-step explanation:
The attachment below shows the description of the rectangular bow and the three spherical balls.
From the description,
- Two of the balls are each touching 5 sides of the rectangular box, say the 5 sides touched by one of the balls are sides 1,2,3,4, and 5; then the other ball will touch sides 2,3,4,5, and 6).
- The middle ball also touches four sides of the rectangular box, These four sides touched by the middle ball will be sides 2,3,4, and 5.
This means the balls are tightly fitted into the rectangular box.
Each of the balls has a radius r
Hence, The volume of one of the balls is given by the volume of a sphere
The volume occupied by one of the balls is
∴ The volume occupied by the three spherical balls will be
3 ×
=
The volume occupied by the three spherical balls
For the rectangular box,
The volume of a rectangular box =
Where is the length
is the width and
is the height
Since the balls are tightly packed,
The width of the rectangular box will be the diameter of the balls
diameter of the balls = 2r
∴ = 2r
The height of the rectangular box will also be the diameter of the balls
∴ = 2r
The length of the rectangular box will be 3 times the diameter of the balls
∴ = 3 × 2r = 6r
Hence,
The volume of a rectangular box = 6r × 2r × 2r
= 24r³
The volume of the space between the balls and the rectangular box is given by
Volume of the space between the balls and the rectangular box =
volume of the rectangular box - volume occupied by the three spherical balls
Volume of the space between the balls and the rectangular box= 24r³ - 4πr³
= 24r³ - 4πr³
= 4r³(6 - π)
