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jolli1 [7]
3 years ago
11

I roll a six-sided die 4 times. Find chances for each of the following events: a) the first die roll is bigger than the second o

r the first roll is a
Mathematics
1 answer:
GuDViN [60]3 years ago
5 0

Answer:

=0.5278

Step-by-step explanation:

a) The first die roll is bigger than the second or the first roll is a 3

Cases for 2 rolls are   (1,1)(1,2)(1,3)....(1,6),(2,1)(2,2)..... (total 36)

We will get 6 cases when they are equal and 15 when 1st is bigger and 15 when 1st is smaller

So   Let  A is the event when first roll bigger

B is the event when First roll=3

So

P(A)=15/36

P(B) =1/6

P(A and B)=2/36

So

P(A or B)=P(A)+P(B)-P(A and B)

=15/36+1/6-2/36

=19/36

=0.5278

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2.83 is larger by 0.35

Step-by-step explanation:

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3 years ago
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Identify the percent of change as an increase or a decrease.<br><br> 1/4 to 1/2
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Increase.

1/4 can be translated to 25%

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4 0
3 years ago
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3. Find f[h(a+4)], given the functions below. *
mote1985 [20]

Answer:

C 5a^2 +70a +240

Step-by-step explanation:

We have given these following functions:

f(x) = 5x, g(x) = -2x + 1, h(x) = x^2 + 6x + 8

h(a+4)

This function is:

h(a+4) = (a+4)^2 + 6(a + 4) + 8

h(a+4) = a^2 + 8a + 16 + 6a + 24 + 8

h(a+4) = a^2 + 14a + 48

f[h(a+4)]

f(x) = 5x

Thus

f(h(a+4)) = f(a^2+14a+48) = 5(a^2 + 14a + 48) = 5a^2 + 70a + 240

The correct answer is given by option C.

8 0
3 years ago
there are 54 girls in a bowling league. there are 2 girls for every boy in the league. how many boys are in the league?
stellarik [79]
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54÷2=27

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6 0
3 years ago
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Devon earns a base salary of $600.00 per month, plus a 4% commission on his sales. Last month he brought in $15,000.00 in sales.
Thepotemich [5.8K]

Answer:

Total compensation = 600 + 0.04 * s  and a total last month of $1200

(which agrees with the second answer shown in the provided list)

Step-by-step explanation:

Total compensation comes from the addition of base salary ($600) plus 4% (0.04) of the sales (s). That means:

Total compensation = 600 + 0.04 * s

and since last month he brought $15000 in sales, he got from sales:

0.04 * 15000 = $600

which added to the base salary gives:

$600 + $600 = $1200

6 0
2 years ago
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