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Sidana [21]
3 years ago
12

a card is chosen from a standard deck, then a month of the year is chosen. find the probability of getting a face card and june​

Mathematics
1 answer:
Irina-Kira [14]3 years ago
4 0

Answer:

Probability of chossing a face card and the month of june = 0.019

Step-by-step explanation:

Let A be the event that a face card is chosen from a deck of 52 cards

And

B be the event that a month is being chosen from 12 months of an year

So,

n(S)for A=52

n(S)for B=12

As a deck of card has total of 12 face cards so

P(A)=12/52

=3/13

P(B)=1/12

As both the events are independent, the probability of A and B is the product of both events’ probabilities.

P(A and B)= P(A)*P(B)

=3/13*1/12

=3/156

=0.019

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Suppose that 10% of the fields in a given agricultural area with about 2,500 fields are infested with the sweet potato white fly
aleksley [76]

Answer:

a. 250 fields

b. 220 to 280 fields

c. Fields are not independent

Step-by-step explanation:

a. The average number of fields sampled that are infested with whitefly =

number of fields X Percentage sampled, 10%

= 2500 X 10% = 250 fields

b.  Going by the binomial distribution is the square of the standard deviation, divided by (the product of the sample size n, and the probability a and b). While the standard deviation is the square root of the variance

σ = √nab

= √na(1-a) = √2500 X 10% X (1- 10%)

= √225 = 15

Now let's use the empirical rule that says about 95% of the observations are within two standard deviations from the mean since the number of trials is very large

μ - 2σ = 250 - 2(15) = 220

μ + 2σ = 250 + 2(15) = 280

Approximately 220 to 280 fields are expected to be infested going by 95% probability observation

c. Since x=25 is considered small and is not captured within 220 and 280 fields making one of the characteristics of binomial experiment not satisfied which expects each field to be independent. Making fields that are close together more likely to be infected.

5 0
3 years ago
Solve for x<br> 45 degrees<br> 90 degrees<br> 65 degrees<br> 85 degrees
Mrrafil [7]

Answer:

x = 45

Step-by-step explanation:

x and (90 - x) are alternate exterior angles and are congruent , then

x = 90 - x ( add x to both sides )

2x = 90 ( divide both sides by 2 )

x = 45

5 0
1 year ago
Read 2 more answers
A box contains different colored paper clips. The probability of drawing two red paper clips from the box without replacement is
Levart [38]
2/5 * P(2nd red) = 1/7
P(2nd Red) = 1/7 * 5/2
P(2nd Red) = 5/14 or D
8 0
3 years ago
Not really a question but I am having a hard time understanding ratios, rates, and unit rates; is there anything I can do that m
asambeis [7]
Use khan academy or sometimes quizlet can help
3 0
2 years ago
Y = 6x -14 &amp; y = -8x
Arturiano [62]

Answer:

x = -1

Step-by-step explanation:

y = 6x - 14   y= -8x

6x-14 = -8x

- 6x

-14 = 14x

x = -1

4 0
3 years ago
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