Plot the data points into the calculator. resize the window to fit the data and use the power regression function. what is the power regression equation for these data points? round to the nearest hundredth. y = 71.59x0.49 y = 72.49x0.50 y = 73.48x0.51 y = 72.34x0.50

Problem 1

A = probability 1st winner picks gift certificate (no replacement)

A = 4/14 = 2/7

B = probability 2nd winner picks gift certificate (no replacement)

B = 3/13

C = probability 3rd winner picks gift certificate (no replacement)

C = 2/12 = 1/6

D = probability first 3 winners pick gift certificate (no replacement)

D = A*B*C

D = (2/7)*(3/13)*(1/6)

D = (2*3*1)/(7*13*6)

D = 6/546

D = 1/91 is the final answer

======================================================

Problem 2

A = probability 1st winner picks pie

A = 7/14

B = probability 1st winner picks fruit basket

B = 2/14

C = probability 1st winner picks pie OR fruit basket

C = A+B

C = 7/14 + 2/14

C = 9/14 is the final answer

Answer:

C.

Brainliest, please!

Step-by-step explanation:

A negative exponent means that the number is really small, which is true in this case.

Answer:

0.00000135

Step-by-step explanation:

1.35 x 10-5 means,

1.35/100000

=>0.00000135

Write the equation of the lines in slope-intercept form (y=mx+b)

First equation: It is already in slope-intercept form

Second equation: solve y:

Identify the slope of each line:

If two or more lines have the same slope then the lines are parallel

If two lines have slopes that are negative reciprocals then the lines are perpendicular

Different List of values having the same mean and standard deviation may not contain the same values.

For instance :

List A : [-1, -1, 0, 2]

Using a calculator ;

List B : [-2, 0, 1, 1]

Using a calculator ;

Mean = 0

Standard deviation = 1.1414

The mean and standard deviation of each list are the same, however, the values in each list are different.

Hence, Letitia is incorrect.

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Answer:

In algebra, the 3x + 1 semigroup is a special subsemigroup of the multiplicative semigroup of all positive rational numbers. The elements of a generating set of this semigroup are related to the sequence of numbers involved in the still open Collatz conjecture or the "3x + 1 problem".

Step-by-step explanation:

Answer:

\(-\frac{22}{91} = x\)

Step-by-step explanation:

To solve the equation \(3x - 23 = 94x - 1\), we'll follow these steps:

Start by simplifying the equation by combining like terms. In this case, we have terms with x on both sides, as well as constants:

\(3x - 23 = 94x - 1\)

To isolate the x terms, we can subtract 3x from both sides of the equation:

\(3x - 3x - 23 = 94x - 3x - 1\)

Simplifying further, we get:

\(-23 = 91x - 1\)

Next, we want to isolate the constant term on one side of the equation. We can do this by adding 1 to both sides:

\(-23 + 1 = 91x - 1 + 1\)

Simplifying further:

\(-22 = 91x\)

Finally, we can solve for x by dividing both sides of the equation by 91:

\(-\frac{22}{91}=\frac{91x}{91}\)

Simplifying further:

\(-\frac{22}{91} = x\)

Therefore, the solution to the equation \(3x - 23 = 94x - 1\) is \(-\frac{22}{91} = x\)

Answer:

x=9.3

Step-by-step explanation:

use SohCahToa

in this case u use cos

cos(41°)=7/x

x=7/cos(41)

x=9.275090953

x=9.3

Given:

The arrow diagram of a relation.

To find:

Whether the given relation is a function or not.

Solution:

A relation is a called a function it there exist a unique y-value or unique output value for each x-value or input value.

From the given arrow diagram it is clear that y=2 and y=-1 for x=-1.

Since we have more than one value of y at x=-1, therefore, the given relation is not a function.

Hence, the correct option is B.

The maximum profit that can be made through agriculture per acre depends on the market demand for the crop, the yield per acre, and the cost of production.

Agriculture is a vast field that can offer great potential for profit. However, the amount of profit that can be made through agriculture per acre can vary greatly depending on several factors such as the type of crop being grown, the market demand for that crop, the cost of inputs, and the yield per acre.

Revenue is the total amount of money earned from the sale of the crop, and the cost of production includes all expenses incurred to produce the crop.

To calculate the maximum profit that can be made through agriculture per acre, we need to subtract the cost of production from the revenue earned from the crop. The formula for calculating profit is:

Profit = Revenue - Cost of production

If the revenue earned from the crop is greater than the cost of production, then a profit is made. However, if the cost of production is greater than the revenue earned, then a loss is incurred.

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Answer: Bella invested $500 in first and $500 in second stock this year.

Step-by-step explanation:

Given: Total principal amount = $1000

Interest = $110

For first year , interest = P x r  , where P= principal , r= rate of interest ( in decimal)

For first bond , interest rate=  15% = 0.15

Let P = x

Interest = 0.15x

For second bond ,  interest rate=  7% = 0.07

Let P = 1000-x

Interest = 0.07(1000-x)=70-0.07x

Now, \(0.15x+70-0.07x=110\)

\(\Rightarrow\ 0.8x=40\\\\\Rightarrow x=\dfrac{40}{0.08}\\\\\Rightarrow x=500\)

Also, 1000-x = 1000-500=500

Hence, Bella invested $500 in first and $500 in second stock this year.

Answer:

2 13/20 cm

Step-by-step explanation:

The screen on Brianna's new phone is 2.65 cm. Long. What mixed number represents the length of the phone screen ?

From the above question, we are converting, from decimal to mixed number , hence:

2.65 has 2 decimal places

Hence:

2.65 cm = (265/100)cm

= ( 2 + 65/100) cm

= ( 2 13/20 )cm

The mixed number that represents the length of the phone screen is 2 13/20 cm

Answer:

-3x+11

Step-by-step explanation:

Answer:

11-3x

Step-by-step explanation:

Distribute the "-"

7-3x+4=

Group the numbers

11-3x

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

y=8

Step-by-step explanation:

l3l=3

3+5=8 so y=8

Answer:

x=1, y=-3. (1, -3).

Step-by-step explanation:

6x-9=y

y=-3x

-----------

6x-9=-3x

6x-(-3x)=9

6x+3x=9

9x=9

x=9/9

x=1

y=-3(1)

y=-3

The company's profit nth day after June 1st is given by $4,000,000 - $150,000 × (n - 1)

Given that a company has $4,000,000 profit on June 1st.

The company then loses $150,000 dollars per day thereafter in the month of June.

We need to find the company's profit nth day after June 1st.

Profit on the nth day is given by

Profit on nth day = Profit on June 1st - Loss per day × (n-1)

Where n is the number of days after June 1st.

On the 1st day, the profit is given as $4,000,000

Profit on the nth day = $4,000,000 - $150,000 × (n - 1)

Therefore, the company's profit nth day after June 1st is given by $4,000,000 - $150,000 × (n - 1)

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Answer:

(x ^ 16y ^ 22)

Step-by-step explanation:

For this case we have the following expression:

  (x ^ 6y ^ 8) ^ 3 / x ^ 2y ^ 2

Rewriting and for power properties we have:

  (x ^ 18y ^ 24) / x ^ 2y ^ 2

  (x ^ (18-2) y ^ (24-2))

  (x ^ 16y ^ 22)

Answer:

$305.9022863 or $305.90 (rounded to 2 decimal places)

Step-by-step explanation:

It is a compound interest, meaning an interest accumulates on an initial amount every period. The formula  

A= P(1+R)^n

A= the total amount P=Initial amount       R= rate  n=time period

P=$100 R=15% or 0.15(decimal)  n=8 (years)  

A= 100 (1.15)^8

A= 100(3.059022863)

A=305.9022863

The amount you will have after 8 years is $220

The formula for calculating simple interest is expressed as:

SI =PRT

P is the principal = $100

T is the time = 8 years

R is the rate. = 15%

SI = 100 * 8 * 0.15
SI = $120

Amount after 8years = $100 + $120
Amount after 8years = $220

Hence the amount you will have after 8 years is $220

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Before providing personal information on a shopping site, Samuel always reads the website's privacy policy.

In the online shopping world, privacy policies play a crucial role in assuring users like Samuel that their personal information will be protected.

A privacy policy is a statement or document published on a website that outlines how the website collects, uses, stores, and protects the personal information of its users.

It serves as a legal agreement between the website and its users, setting forth the terms and conditions regarding the handling of personal data.

When Samuel reads the privacy policy of a shopping site, he is looking for important information about how his personal data will be treated.

This includes details on what types of personal information the website collects (such as name, address, email, payment details), how it will be used (e.g., for order processing, marketing purposes), and whether it will be shared with third parties.

The privacy policy may also explain the security measures in place to protect the data from unauthorized access or breaches.

By reading the privacy policy, Samuel can make an informed decision about whether to trust the website with his personal information.

It allows him to assess the website's commitment to privacy and data protection, and determine if his concerns about protecting his personal information align with the practices described in the policy.

Overall, the privacy policy serves as a crucial resource for users like Samuel to understand and safeguard their privacy when shopping online.

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The required expressions in summation and product notations are: ∏(n = 1 to 7) [(n + 1)²] / (2 × 4 × 8 × 16 × 32 × 64 × 128) and ∑ (n = 0 to 5) n + (n + 5) / (n + 2)

The given expression is 1/2 × 4/4 × 9/8 × 16/16 × 25/32 × 36/64 × 49/128

To express the given expression using product notation, let's consider the numerators and the denominators separately.

Product of the numerators = 1 × 4 × 9 × 16 × 25 × 36 × 49

Product of the denominators = 2 × 4 × 8 × 16 × 32 × 64 × 128

Therefore, the given expression in the product notation is:

∏(n = 1 to 7) [(n + 1)²] / (2 × 4 × 8 × 16 × 32 × 64 × 128)

Now, let's consider the second expression.

The given expression is: 4 + 5/2! + 6/3! + 7/4! + 8/5! + 9/6!

To express this given expression in the summation notation, we can write it as:

∑ (n = 0 to 5) n + (n + 5) / (n + 2)!

Therefore, the required expressions in summation and product notations are:

∏(n = 1 to 7) [(n + 1)²] / (2 × 4 × 8 × 16 × 32 × 64 × 128) and ∑ (n = 0 to 5) n + (n + 5) / (n + 2)

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Answer:

They are not in a proportional relationship because Monique's number and time isnt a proportion. Instead it is a whole number. Like Braydon's his is 6:2 that is the correct way to write it.

Step-by-step explanation:

The ratio is not proportion.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Given:

The ratio of Braydon's number of laps he ran to the time he ran is 6:2.

The ratio of Monique's number of laps she ran to the time she ran is 10:4.

The simplest for Braydon is = 6/2 = 3/1

and, the simplest form for Monique = 10/4 = 5/2

As, 3/1 ≠ 5/2

So, the ratio is not proportion.

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Answer:

\(= \frac{2m^2n^8}{3}\)

Step-by-step explanation:

Given expression is

\((\frac{4m^{-2}n^8}{9m^{-6}n^{-8}} )^{\frac{1}{2}\)

The correct simplified form is shown below:-

From the above equation, we will simplify

we will shift \(m^{-6}\) to the numerator and we will use the negative exponent rule, that is

\(= (\frac{4m^{-2}n^8m^6}{9n^{-8}} )^{\frac{1}{2}\)

now we will shift the \(n^{-8}\) to the numerator and we will use the negative exponent rule, that is

\(= (\frac{4m^{-2}n^8m^6n^8}{9} )^{\frac{1}{2}\)

here we will solve the above equation which is shown below

\(= (\frac{4m^4n^{16}}{9}) ^\frac{1}{2}\)

So,

\(= (\frac{(2)^2(m^2)^2(n^8)^2}{(3)^2} ^\frac{1}{2}\)

Which gives result

\(= \frac{2m^2n^8}{3}\)

Answer:

The rate of change is positive 96%

Step-by-step explanation:

.96 = 96%

Answer:

15 + _ = -15

15 + 15 = _

- 30 = _

- 30 is the answer.

The correct value of the inequality as solves is x > 14 , and the error made by the student was that he directly divided the RHS by 7.

To simplify the equation we will multiply 7 on both the sides.

Then we will get the result as 7x > 98

Thus, we can say that the new inequality will be x > 14 ,

Hence , the mistake made by the student was that he didn't divided both the sides by 7 but only one side.

So a result, he obtained the incorrect result x>2.

Inequality is a concept in mathematics and uses symbols such as > , < , <= , >= etc.

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The amount Tanya gets paid per square foot for cleaning a 1500 square foot building for a total of $107.00 is calculated as follows  107/1500 so that the correct answer is option (D).

To calculate the amount Tanya gets paid per square foot for cleaning a 1500 square foot building for a total of $107.00, we can use the formula:

Amount per square foot = Total amount paid / Area of building

Given that the total amount paid is $107.00 and the area of the building is 1500 square feet, we can substitute these values into the formula:

Amount per square foot = $107.00 / 1500 sq ft

Simplifying the expression, we find that Tanya gets paid approximately $0.0713 per square foot.

Therefore, the correct answer is option (D), which states that the amount Tanya gets paid per square foot for cleaning the 1500 square foot building is approximately $0.0713.

It is important to note that the amount per square foot represents the rate at which Tanya is compensated for each unit of area cleaned. By dividing the total amount paid by the area of the building, we obtain the per square foot rate, allowing us to compare different cleaning projects and determine the fair compensation for Tanya's services.

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For a Poisson process with rate λ, the interarrival times between events are exponentially distributed with parameter μ = 1/λ. So, the time between the (n-1)-th and n-th event, denoted as Tn, follows an exponential distribution with parameter μ = 1/3 minutes.

Since Sn is the sum of the first n interarrival times, we have:

Sn = T1 + T2 + ... + Tn

The sum of n exponential random variables with parameter μ is a gamma random variable with shape parameter n and scale parameter μ. Therefore, Sn follows a gamma distribution with shape parameter n and scale parameter μ.

In this case, n = 10 and μ = 1/3. So, E[S10] can be calculated as:

E[S10] = n * μ = 10 * (1/3)

= 10/3 minutes.

Therefore, E[S10] = 10/3 minutes.

b. E[S4|N(1) = 3]:

Given that N(1) = 3, we know that there are 3 events in the first minute. Therefore, the time of the 4th event, S4, will be the sum of the first 3 interarrival times plus the time between the 3rd and 4th event.

Using the same reasoning as in part a, we know that the sum of the first 3 interarrival times follows a gamma distribution with shape parameter 3 and scale parameter 1/3. The time between the 3rd and 4th event, denoted as T4, follows an exponential distribution with parameter 1/3.

So, S4 = T1 + T2 + T3 + T4.

Since T1, T2, T3 are independent of T4, we can calculate E[S4|N(1) = 3] as:

E[S4|N(1) = 3] = E[T1 + T2 + T3 + T4]

= E[T1 + T2 + T3] + E[T4]

= (3/3) + (1/3)

= 4/3 minutes.

Therefore, E[S4|N(1) = 3] = 4/3 minutes.

c. Var(S10):

The variance of Sn, Var(Sn), for a Poisson process with rate λ, is given by:

Var(Sn) = n * σ^2,

where σ^2 is the variance of the interarrival times.

In this case, n = 10 and the interarrival times are exponentially distributed with parameter μ = 1/3. The variance of an exponential distribution is \(\mu^2\)So, \(\sigma^2 = \left(\frac{1}{3}\right)^2\)

= 1/9.

Substituting the values into the formula, we have:

Var(S10) = 10 * (1/9)

= 10/9.

Therefore, Var(S10) = 10/9.

d. E[N(4) − N(2)|N(1) = 3]:

Given that N(1) = 3, we know that there are 3 events in the first minute. Therefore, at time t = 2 minutes, there will be 3 - 1 = 2 events that have already occurred.

Now, we need to find the expected value of the difference in the number of events between time t = 4 minutes and t = 2 minutes, given that there were 3 events at t = 1 minute.

Since the number of events in a Poisson process follows a Poisson distribution with rate λt, where t is

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Answer:

D.

Step-by-step explanation:

The punnet square is divided into 4 sections. RR means red, Rr means pink, and rr means white.

There is only one square with RR, so that's 25% red. (1 out of 4 squares)

Two squares are Rr, which means 50% are pink.

One square is rr, which means the remaining 25% is white.