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KATRIN_1 [288]
3 years ago
6

A bag contains 5 oranges, 4 bananas, and 3 apples. If Mr. Hall reaches in the bag and chooses one piece of fruit at random, what

is the probability that he will NOT choose an orange?
A) 7/12
B)1/4
C)2/4
D)5/12
Mathematics
1 answer:
Xelga [282]3 years ago
4 0

Answer:

A) 7/12

Step-by-step explanation:

There are 5+4+3 = 12 fruits in total. There are 4+3 = 7 non orange fruits. Probability of not choosing an orange = number of non-orange objects/total number of objects = 7/12.

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In a particular game, a fair die is tossed. If the number of spots showing is either four or five, you win $1. If the number of
TiliK225 [7]

Answer:

The probability that you win at least $1 both times is 0.25 = 25%.

Step-by-step explanation:

For each game, there are only two possible outcomes. Either you win at least $1, or you do not. Games are independent. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

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

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

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.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Probability of winning at least $1 on a single game:

The die has 6 sides.

If it lands on 4, 5 or 6(either of the three sides), you win at least $1. So

p = \frac{1}{2} = 0.5

You are going to play the game twice.

This means that n = 2

The probability that you win at least $1 both times is

This is P(X = 2).

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

P(X = 2) = C_{2,2}.(0.5)^{2}.(0.5)^{2} = 0.25

The probability that you win at least $1 both times is 0.25 = 25%.

4 0
2 years ago
HELP ME PLEASE!!!!
QveST [7]
54=9\cdot6\\24=4\cdot6\\\\3\sqrt{54}-4\sqrt{24}=3\sqrt{9\cdot6}-4\sqrt{4\cdot6}=3\cdot\sqrt9\cdot\sqrt6-4\cdot\sqrt4\cdot\sqrt6\\\\=3\cdot3\cdot\sqrt6-4\cdot2\cdot\sqrt6=9\sqrt6-8\sqrt6=1\sqrt6=\sqrt6\\\\\text{Answer:}\ \sqrt6\\\\\text{Used:}\ \sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}
4 0
3 years ago
Which transformations will map octagon PQRSTVWZ onto itself?
Usimov [2.4K]

Answer:

Rotation, Reflection and Translation.

4 0
2 years ago
Please answer I really need help with these just answer at least one.
aleksandrvk [35]
.50(150)+30=$105
8(32)+12 = $268
7 0
2 years ago
Statistics:
Dima020 [189]

Answer:

Step-by-step explanation:

a) sub in 600 for 6

600-25/40 =14.375

b) switch x and y

x=y-25/40

Solve for y

40x=y-25

y=40x+25

c)Plug in 2.5 for z(x)

2.5= x-25/40

100=x-25

x=125

8 0
3 years ago
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