In the garden the total number of pepper plants is 15 and the total number of tomato plants
is 12. What is the ratio of pepper plants to tomato plants in the garden?

E(z),the expected value of z in which at least one member has a birthday in 12 months is (11/12)^10

Define the random variable Zi’s as

\(Z_{i}\)= 1 : if no member of the club has a birthday in the month

   = 0: otherwise   for, i =1,2, ......,12 .

Now, we have,

= P (\(Z_{i}\) =1) .

=p( no member of the club has a birthday in month i).

= p, say.

Now, there are a total of 10 members in the club and their birthdays are assumed to be independently and uniformly distributed over the 12 months of the year. So, there are 12 possible choices of months for each of the 10 members for their birthday. Thus, the total no. of exhaustive mutually exclusive and equally likely no. of ways of birthdays 12^10.

Again, if no member of the club has a birthday in month 'i'; then, all of their birthdays should be on the remaining (12 - 1) = 11 months of the year. So, there are possible choices of birthday months for each of the 10 members of the club. So, the no. of cases for the event (Zi=1) is 11^10.

So, p(\(Z_{i}\)=1) = Favorable no. of cases for Zi=1) / Total no. of all possible cases

= 11^10 / 12^10

By the classical definition of probability.

= (11/12)^10

p(\(Z_{i}\) = 1) = (11/12)^10

E(Zi).= (11/12)^10

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Answer:

Nickel is not a layer of earth. It is a white metal that belongs to the group of transition metals and is said to be present in the core of the Earth. Sial- refers to the upper layer of the Earth's crust. This layer has an abundance of minerals having aluminum and silicates.

Answer:

I dont see the following but these are the layers of the Earth

Step-by-step explanation:

It will take Mills 32 months to save the required amount.

To calculate how many months it will take Mills to save $2150, we need to first calculate his annual income and then subtract his annual expenses from it.

First, let's calculate his annual income:

$20/hour × 40 hours/week × 50 weeks/year = $4,000/year

Next, we need to subtract the taxes and deductions from his annual income:

$4,000/year × 10% = $400

$4,000/year - $400 = $3,600/year

Now, let's calculate his annual expenses:

Rent: $1,200 × 12 months/year = $14,400/year

Groceries: $400 × 12 months/year = $4,800/year

Insurance: $250 × 12 months/year = $3,000/year

Utilities: $350 × 12 months/year = $4,200/year

Subway: $100 × 12 months/year = $1,200/year

Charitable donations: $50 × 12 months/year = $600/year

Total expenses: $14,400/year + $4,800/year + $3,000/year + $4,200/year + $1,200/year + $600/year = $28,000/year

Finally, we can subtract his annual expenses from his annual income to get the amount he can save each year:

$3,600/year - $28,000/year = $800/year

To find out how many months it will take Mills to save $2150, we need to divide $2150 by the amount he can save each year:

$2150 / $800/year = 2.69375 years or 2.69375 × 12 months/year = 32.325 months

So, it will take Mills 32 months to save the required amount.

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--The given question is incomplete; the complete question is

"Mills wants to save for a new home theatre that costs $2150. He earns $20/h as a landscaper and works 40 hours; a week and 50 weeks a year. His taxes and deductions average 10% of his gross annual income.

His monthly expenses are as follows:

Rent - $1,200

Groceries $400

Insurance - $250

Utilities - $350

Subway - $100 Charitable

donations - $50

How many months will it take Mills to save the required amount? "--

Answer:

17 I think

Step-by-step explanation:

Answer:

Step-by-step explanation:

5<y

Answer:

27/238 = n/100

Step-by-step explanation:

Answer:

28th

Step-by-step explanation:

4*7=28.

Answer:

1.5

Step-by-step explanation:

3÷2=1.5

FALSE, it is not the mean but the median of a distribution which is defined as the data value where 50% of the data is above and 50% is below.

The median denotes the point at which 50% of data values are higher and 50% are lower. As a result, it is the data's midpoint. In a symmetrical distribution, the median is always the midpoint, resulting in a mirror image with the median in the center.

The median is the number in the middle of a sorted, ascending or descending list of numbers, and it might be more descriptive of the data set than the average.

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The value of the given elements are: 0.829.

Given:

The given numbers are: 8,9,33,44,57,60,62,64,73,74,77,86

Here, the largest Number is 86 = Xₐ

and the smallest number is 8 = Xₙ

Now,

Range = Xₐ -Xₙ

           = 86 - 8

           = 78

Therefore,

Coefficient  of Range = Xₐ - Xₙ / Xₐ +Xₙ

                                    = 86 - 8 / 86 +8

                                    = 78 / 94

                                    = 0.829

Therefore, the value is 0.829.

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Answer:

I'd say D, if I'm wrong please let me know. but I'm 100% sure it's D

From the given diagram

(4x - 43) = (2x + 31) Reason = (Vertically opposite angles are equal)

4x - 43 = 2x +31

By Collecting like terms, we have

4x - 2x = 31 + 43

2x = 74

x = 74/2 = 37

Answer:

Step-by-step explanation:

P(E)=3/6=1/2

So it is equally probable to roll even as it is to roll an odd.

’evens’

Answer:

This graph is nonlinear

The initial displacement of the weight is 40cm

The weight first returns to equilibrium when t=1/2

Step-by-step explanation:

thats the answer i only had time to give not to explain

Answer:

the answer is in the photo ^^

Step-by-step explanation:

the correct thing is there for confirmation ;)

Answer:

C

Step-by-step explanation:

1x5=5

3x6=18

and you can't simplify 5/18.

Answer:

5/18

Step-by-step explanation:

1 times 5 equals 5.  3 times 6 equals 18.

Answer:

7 1/6

Step-by-step explanation:

Area is length x width

Find area of 1 container:

Area = 5 1/2 x 1 2/3 = 11/2 x 5/3 = 55/6 = 9 1/6 square yards.

Multiply the area on 1 container by total containers (9)

9 1/6 x 9 = 55/6 x 9 = 495/6 = 82 1/2 square yards

The answer is 82 and 1/2 square yards

The percentage increase in average commute times between these years = 2.25%

In 2010, the average commute time for wake county workers = 23.9 mins

In 2016, the average commute time for wake county workers = 25 mins.

The increase is = 25- 23.9 = 1.1

The average commute time between the two years,

23.9+25 = 48.9 mins

Therefore, the percentage,

= 1.1/48.9×100

= 110/48.9

= 2.249%

= 2.25% to the nearest two decimal places.

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Answer:

b

Step-by-step explanation:

Answer: B

Step-by-step explanation:

At t = 2, the position of the particle can be found by plugging in t = 2 into the expressions for x and y:

x(2) = 3(2)^2 - 1 = 11

y(2) = (2)^2 - 3(2) = -2

So at t = 2, the particle's position is (11, -2) on the curve described by the parametric equations x(t) = 3t^2 - 1 and y(t) = t^2 - 3t.

To find the position of the particle at a specific time t, we can substitute the value of t into the expressions for x and y.

Given the expressions:

x(t) = 3t^2 - 1

y(t) = t^2 - 3t

We are interested in finding the position of the particle at t = 2.

Plugging in t = 2 into the expression for x:

x(2) = 3(2)^2 - 1

= 3(4) - 1

= 12 - 1

= 11

Plugging in t = 2 into the expression for y:

y(2) = (2)^2 - 3(2)

= 4 - 6

= -2

Therefore, at t = 2, the position of the particle is x = 11 and y = -2.

These calculations demonstrate how we can evaluate the position of the particle at a specific time by substituting the given time value into the expressions for x and y.

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The probability of obtaining a head on the next toss of a coin after obtaining two heads from two tosses is still 1/2 or 50%.

This is because each coin toss is an independent event, and the outcome of one toss does not affect the outcome of another toss. Therefore, the fact that two heads have been obtained in the previous two tosses does not change the probability of obtaining a head on the next toss, which is always 1/2 or 0.5 for a fair coin.

Probability is the likelihood of an event occurring. The values are between 0 and 1. The closer it is to 1, the greater the probability.

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Answer: 33554432

Step-by-step explanation:

8 x (2 ^ (23 - 1)) = 33554432

Answer:62

Step-by-step explanation:

The approximate solution of t is 0.052 and the expression is t = log(20/11)/5

From the question, we have the following parameters that can be used in our computation:

11•10⁵ⁿ = 20

Divide both sides of the equation by 11

So, we have

10⁵ⁿ = 20/11

Take the logarithm to the base 10 of both sides

This gives

5t = log(20/11)

So, we have

t = log(20/11)/5

Evaluate

t = 0.052

Hence, the approximate solution of t is 0.052

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There are 56 such combinations possible.

To find the number of ways to assign three jobs to eight employees if each employee can be given more than one job, we can use the combination formula.
The formula for combination is:
nCr = n! / (r!(n-r)!)
where n is the total number of items, r is the number of items being selected, and ! denotes factorial (the product of all positive integers up to that number).
In this case, we have 8 employees and we need to select three jobs. Therefore, we can use the combination formula as follows:
8C3 = 8! / (3!(8-3)!)
= 8! / (3!5!)
= (8x7x6) / (3x2x1)
= 56
Therefore, there are 56 ways to assign three jobs to eight employees if each employee can be given more than one job.
To illustrate this further, let's assume that the three jobs are A, B, and C. One possible way of assigning these jobs to employees could be:
Employee 1: A, B
Employee 2: B, C
Employee 3: A, C
Employee 4: A, B
Employee 5: B, C
Employee 6: A
Employee 7: B
Employee 8: C
As we can see, each employee has been given at least one job and some employees have been given more than one job. There are 56 such combinations possible.

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Answer:

18/root(14)

Step-by-step explanation:

x=54

y=126

x/root(y)

54/root(126)

54/root(3x3x14)

54/3(root(14))

18/root(14)

The probability that up to one hour will elapse until two orders are received is A. 0.0842.

To calculate the probability that up to one hour will elapse until two orders are received, we can use the Poisson distribution. Given that the e-business receives an average of 5 orders per hour, we can use the Poisson formula to find the probability.

The formula for the Poisson distribution is P(X=k) = (e^(-λ) * λ^k) / k!, where λ is the average rate of events and k is the number of events.

In this case, λ = 5 and we want to calculate P(X<=1), which means the probability of having 0 or 1 order in one hour.

Using the formula, P(X<=1) = P(X=0) + P(X=1) = (\(e^(^-^5^)\)*\(5^0\)) / 0! + (\(e^(^-^5^)\) * \(5^1\)) / 1!

Calculating this, we find P(X<=1) ≈ 0.0842.

Therefore, the answer is A. 0.0842.

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When we have two large independent samples from two populations, the difference in the two sample means will follow an approximate normal distribution.

This is due to the central limit theorem, which states that when we have a large enough sample size (typically, greater than 30), the distribution of the sample means will be normal regardless of the underlying distribution of the populations. As the two samples are independent, the difference in means will also be independent. Therefore, we can use the normal distribution to estimate the probability of observing a certain difference in means. It is important to note that this approximation may not hold for small sample sizes, and the underlying distributions of the populations can also impact the shape of the distribution. We can say that the normal distribution approximation is widely used in statistics and hypothesis testing, making it an essential concept for understanding and interpreting data.

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Answer:

A. 32-4

Step-by-step explanation:

Because if you use the distribution property, you get 4*8 - 4*1, which is 32 - 4.