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pshichka [43]
3 years ago
12

Let E be the event that a corn crop has an infestation of ear worms, and let B be the event that a corn crop has an infestation

of corn borers. Suppose that P(E) = 0.24, P(B) = 0.16, and P(E and B) = 0.13. Find the probability that a corn crop has either an ear worm infestation, a corn borer infestation, or both.
Mathematics
1 answer:
KatRina [158]3 years ago
7 0

Answer:

The probability that a corn crop has either an ear worm infestation, a corn borer infestation

P(EUB) = 0.27

Step-by-step explanation:

<u>Explanation</u>:-

<u>Addition theorem on probability</u>:-

If S is a sample space, and E , F are any events in S then

P(EUF) = P(E) +P(F) -P(E n F)

Let 'E' be the event that a corn crop has an infestation of ear worms

let 'B' be the event that a corn crop has an infestation of corn bores

P(EUB) = P(E) +P(B) -P(E n B)

given P(E) = 0.24 and P(B) = 0.16 and P(E n B) =0.13

P(EUB) = P(E) +P(B) -P(E n B)

P(EUB) = 0.24 + 0.16 - 0.13

           = 0.27

The probability that a corn crop has either an ear worm infestation, a corn borer infestation

P(EUB)=0.27

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A perfect square ends with the same two digits. How many possible values of this digit are there?
Alex73 [517]

Answer:

A perfect square is a whole number that is the square of another whole number.

n*n = N

where n and N are whole numbers.

Now, "a perfect square ends with the same two digits".

This can be really trivial.

For example, if we take the number 10, and we square it, we will have:

10*10 = 100

The last two digits of 100 are zeros, so it ends with the same two digits.

Now, if now we take:

100*100 = 10,000

10,000 is also a perfect square, and the two last digits are zeros again.

So we can see a pattern here, we can go forever with this:

1,000^2 = 1,000,000

10,000^2 = 100,000,000

etc...

So we can find infinite perfect squares that end with the same two digits.

7 0
3 years ago
Students in a zoology class took a final exam. They took equivalent forms of the exam at monthly intervals thereafter. After t​
juin [17]

Answer:

a. 73; b. 48.9; c. 2; d. 33.8; e. 73

Step-by-step explanation:

Assume the function was

S(t)= 73 - 15 ln(t + 1), t  ≥ 0

a. Average score at t = 0

S(0) = 73 - 15 ln(0 + 1) = 73 - 15 ln(1) = 73 - 15(0) =73 - 0 = 73

b. Average score at t = 4

S(4) = 73 - 15 ln(4 + 1) = 73 - 15 ln(5) = 73 - 15(1.61) =73 - 24.14 = 48.9

c. Average score at t =24

S(24) = 73 - 15 ln(24 + 1) = 73 - 15 ln(25) = 73 - 15(3.22) =73 - 48.28 = 24.7

d. Percent of answers retained

At t = 0. the students retained 73 % of the answers.

At t = 24, they retained 24.7 % of the answers.

\text{Percent retention} = \dfrac{\text{24.7}}{\text{73}} \times 100 \, \% = \text{33.8 \%}\\\\\text{The students retained $\large \boxed{\mathbf{33.8 \, \%}}$ of their original knowledge after two years.}

e. Maximum of the function

The maximum of the function is at t= 0.

Max = 73 %

The graph below shows your knowledge decay curve. Knowledge decays rapidly at first but slows as time goes on.

 

6 0
3 years ago
?can someone help meh
torisob [31]

Answer:

Step-by-step explanation:

C

4 0
3 years ago
A café or for senior citizens a 15% discount off it's regular price of $8.95 for the dinner buffet. What percent of the regular
denis23 [38]

Answer:

Price for Senior Citizen = $7.61

Percent of the regular price = 85% off original

Step-by-step explanation:

Regular Price is $8.95

Seniors get 15% off of that. So, first we need to find 15% of 8.95 and then subtract it from 8.95.

To get percentage of a number, we first convert the percentage to decimal (by dividing by 100) and then multiply it with the number.

15% = 15/100 = 0.15

Fifteen Percent of 8.95 is:

0.15 * 8.95 = $1.3425

Senior Citizen Price = 8.95 - 1.3425 = $7.6075

Rounded to nearest cent = $7.61

How much is this as a percentage of original?

Simple, it is 15% off of the regular price, so this price is 100 - 15 = 85% of original price

8 0
3 years ago
Quick 3 + 3 × 3 + 3 ÷ 3
STatiana [176]

Answer:13

Step-by-step explanation:

3+9+1=13

5 0
2 years ago
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