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Black_prince [1.1K]
3 years ago
6

Help please

Mathematics
2 answers:
Mila [183]3 years ago
8 0
H(t)= (p - 0.25(c))/10 number of hours she works is the money she earns in that week minus the number of calls she answered multiplied by 0.25 all that divided by 10
h(t)= 115 - 0.25(60)/10
h(t)= 115 - 15 /10
h(t)= 100/10
h(t)= 10
h(t) represents number of hours she worked
p represents the total amount she earned
0.25(c) represents the money she earns in respect to number of calls she answers represented by the letter c.
Leno4ka [110]3 years ago
3 0
H = hrs she worked
p = phone calls she answered

h x 10 + p x .25 = maggies earnings

Part A
h x 10 + 60 x .25 = 115

Part B
h x 10 + 15 = 115 (multiplied 60 x .25)
h x10 = 100 (subtracted 15 from each side of the equation)
h = 10 (divided 10 into each side)

Part C
10 hrs

Hope this helps

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Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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12 properties

This means that n = 12

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This means that p = 0.5

Compute the probability of selling no more than 6 properties in one week.

This is:

P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{12,0}.(0.5)^{0}.(0.5)^{12} = 0.0002

P(X = 1) = C_{12,1}.(0.5)^{1}.(0.5)^{11} = 0.0029

P(X = 2) = C_{12,2}.(0.5)^{2}.(0.5)^{10} = 0.0161

P(X = 3) = C_{12,3}.(0.5)^{3}.(0.5)^{9} = 0.0537

P(X = 4) = C_{12,4}.(0.5)^{4}.(0.5)^{8} = 0.1208

P(X = 5) = C_{12,5}.(0.5)^{5}.(0.5)^{7} = 0.1934

P(X = 6) = C_{12,6}.(0.5)^{6}.(0.5)^{6} = 0.2256

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0.6127 = 61.27% probability of selling no more than 6 properties in one week.

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