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Yuri [45]
3 years ago
5

The probability for event A is 0.3, the probability for event B is 0.6, and the probability of events A or B is 0.8.Why are the

events not mutually exclusive?
Mathematics
2 answers:
stepan [7]3 years ago
8 0

Answer:

not mutually exclusive

Step-by-step explanation:

never [62]3 years ago
3 0

Answer:

The events are not mutually exclusive because the P(A and B)=0.1 not 0

Step-by-step explanation:

Mutual exclusive events are those that can't happen at the same time.For example Tossing a coin, Head and Tail are mutually exclusive events because you can't get a Head and a tail at  the same time.Another example is turning left and turning right are mutually exclusive because you can't do both at the same time.

If events are mutually exclusive, they can happen at the same time.

Mathematically,the probability of mutual exclusive events follows;

P(A and B)=0 ------------The probability of A and B together equals 0

P(A or B) = P(A)+P(B)-----The probability of A or B equals the probability of A plus the probability of B.

In this question you are given;

P(A)=0.3

P(B)=0.6

P(A or B) =P(A) + P(B)= 0.3+0.6 =0.9

0.9≠0.8 thus the events are not mutually exclusive.

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Shtirlitz [24]

Option B: (x, y) \rightarrow(x+5, y+3) is the rule for the translation

Explanation:

The coordinates of A,B,C are (-3,2) ,(-3,-3) , (0,-2)

The coordinates of A',B',C' are (2,5) , (2,0) , (5,1)

We need to determine the rule for the translation

The rule for the translation is given by

P(x, y) \rightarrow P^{\prime}(x+a, y+b)

Let us determine the translation from A to A'

A(-3,2)\rightarrow A^{\prime}(-3+a, 2+b)\rightarrow A'(2,5)

Thus, we have,

\begin{aligned}-3+a &=2 \\a &=5\end{aligned}   and   \begin{array}{r}2+b=5 \\b=3\end{array}

Thus, the rule is given by

(x, y) \rightarrow(x+5, y+3)

Therefore, Option B is the correct answer.

4 0
4 years ago
2. Lupe put $11,500 in a certificate of deposit that gained simple interest at a rate of 6.7%. How much interest
grin007 [14]

Answer:

321

Step-by-step explanation:

Principal amount = $11,500

Simple interest = 6.7%

time :5 months

as simple interest is calculated for a year, time needs to be calculated in years

12 months comprises 1 year

1 month is equivalent to 1/12 years

thus, 5 month is equivalent to (1/12)* 5 years

time in years = 5/12

Simple interest is calculated by formula

SI = p*r*t/100

where SI is simple interest earned

p is principle amount

r is rate of interest

t is time in years

substituting the value of p, r and t in the formula for SI, we have

SI = (11500*6.7*5)\12*100 = 321.04

interest,the account gained after 5 months is 321.

6 0
3 years ago
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3 years ago
A train is traveling 55 miles per hour to a destination that is 330 miles away. The function f(x)=−55x+330 represents the remain
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5 0
4 years ago
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Snowcat [4.5K]

Answer:

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3 0
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