Step-by-step explanation:
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- Length ( l ) = 4 cm
- Width ( w ) = 2 cm
- Height ( h ) = 5 cm
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- Total surface area of a cuboid
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Plug the known values :
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Total number of cakes made by Simon = 30 cakes.
Number of cakes gave to Sali = 1/5 Of total cakes = 1/5 * 30 = 6 cakes.
Number of the cakes gave to Jane = 10% of 30 cakes
10% can be written as 10/100 in fracions and in decimals it would be 0.10.
Therefore, 10% of 30 cakes = 0.10 times 30 = 3 cakes.
Total number of cakes left = Total cakes made - Cakes gave to Sali - Cakes gave to Jane = 30-6-3
Therefore, Total number of cakes left = 21.
21 cakes left our of 30 cakes.
21 out of 30 could be written in fracion form as 21/30.
We can reduce this fracion in simplest form by dividing top and bottom by 3, we get
7/10.
Therefore, 7/10 fraction of the cakes does he have left.
Put x on one side of the equation
6x=(76+22)
6x=98
x=98/6
Simplify
x=49/3
A binomial probability density function should be used to represent the probability
<h3>How to determine the type of
probability density?</h3>
The given parameters are:
- Proportion that plays sport, p = 32%
- Number of students selected, p = 50
- The probability, P = (x ≤ 15)
The proportion that plays sport indicates that
68% of the students do not play sport
So, we have two events, which are
- Play sport
- Do not play sport
When there are two possible events, then the binomial probability density function should be used
Read more about binomial probability density at:
brainly.com/question/15246027
#SPJ1
Answer:
Step-by-step explanation:
Let x represent the length of the shorter base in inches. Then the longer base has length x+6. The area of the trapezoid is given by the formula ...
A = (1/2)(b1 +b2)h
Filling in the values we know, we have ...
48 = (1/2)(x +(x+6))(6)
16 = 2x +6 . . . . . divide by 3
10 = 2x . . . . . . . . subtract 6
5 = x . . . . . . . . . . divide by 2
(x+6) = 11 . . . . . . find the longer base
The lengths of the bases are 5 inches and 11 inches. We found them by solving an equation relating area to base length.