J. D. is saving up to buy a Nook color tablet. It is advertised on the web site for $169. He has $79 saved. To make money, he feeds his grandparents cats when they go away. His grandmother pays him $5.00 a day. How many days will he need to take care of his grandparents’ cats in order to have enough money to buy the Nook?

Answer:

???

Step-by-step explanation:

Answer: X=-7

Step-by-step explanation:

Answer:

2^7x4^7-8

Step-by-step explanation:

Answer:

7x+9

Step-by-step explanation:

Because 6+3=9-2=7 and 5+4=9

1. When the population mean shifts to 7.8, the probability of detecting the change is approximately 0.0495 (or 4.95%).

2.  The probability of detecting the change is 0.0495 or 4.95%.

To solve this problem, we'll use the concept of control limits and the sampling distribution of the sample means.

When the population mean shifts to 7.8: First, let's calculate the standard deviation of the sampling distribution, also known as the standard error (SE). The formula for SE is given by SE = σ / sqrt(n), where σ is the standard deviation of the population (1.0 ounce) and n is the sample size (47).

SE = 1.0 / sqrt(47) ≈ 0.145

Next, we need to determine the z-score corresponding to the lower and upper tails of the sampling distribution that capture 5% each. Since the total probability in both tails is 10%, each tail will have a probability of 5%. We can find the z-scores using a standard normal distribution table or calculator.

The z-score corresponding to the lower tail of 5% is approximately -1.645.

The z-score corresponding to the upper tail of 5% is approximately 1.645.

Now, let's calculate the lower and upper control limits:

Lower Control Limit (LCL) = Population Mean - (z * SE)

Upper Control Limit (UCL) = Population Mean + (z * SE)

LCL = 7.8 - (-1.645 * 0.145) ≈ 8.026

UCL = 7.8 + (1.645 * 0.145) ≈ 9.574

To find the probability of detecting the change, we need to calculate the area under the sampling distribution curve that falls beyond the control limits. In this case, we're interested in the area above the upper control limit.

Since the distribution is assumed to be normal, we can use the standard normal distribution's cumulative distribution function (CDF) to calculate this probability.

Probability of detecting the change = 1 - CDF(z-score for UCL)

Using the z-score for the upper control limit (UCL), we can calculate the probability.

Probability of detecting the change ≈ 1 - CDF(1.645) ≈ 0.0495

Therefore, when the population mean shifts to 7.8, the probability of detecting the change is approximately 0.0495 (or 4.95%).

When the population mean shifts to 8.6: We'll follow the same steps as before.

SE = 1.0 / sqrt(47) ≈ 0.145

The z-score corresponding to the lower tail of 5% is still approximately -1.645.

The z-score corresponding to the upper tail of 5% is still approximately 1.645.

LCL = 8.6 - (-1.645 * 0.145) ≈ 8.926

UCL = 8.6 + (1.645 * 0.145) ≈ 10.274

Probability of detecting the change = 1 - CDF(z-score for UCL)

Probability of detecting the change ≈ 1 - CDF(1.645) ≈ 0.0495

Therefore, when the population mean shifts to 8.6, the probability of detecting the change is also approximately 0.0495 (or 4.95%).

In both cases, the probability of detecting the change is 0.0495 or 4.95%.

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Answer:

Explained below.

Step-by-step explanation:

A correlation coefficient is a mathematical measure of certain kind of correlation, in sense a statistical relationship amid two variables

Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.  

Values amid 0.7 and 1.0 (-0.7 and -1.0) implies a strong positive (negative) linear relationship amid the variables.

It is provided that Warren noticed a strong negative linear relationship between the success rate and putt distances.

This implies that as the putt distances are increasing the success rates are decreasing and as the putt distances are decreasing the success rates are increasing.

Answer:

16.85

Step-by-step explanation:

This answer is if the question asks, "Use this model to predict the success rate of putts from 5 meters".  When you create your equation, 84.05-13.44(x), plug 5 into x and you get 16.85.

Answer: x = -3

Step-by-step explanation:

3x - 5 = 10 + 8x

3x - 8x = 15

-5x = 15

x = -3

Answer:

x = -3

Step-by-step explanation:

3х - 5 = 10 + 8x

Subtract 3x from each side

3х-3x - 5 = 10 + 8x-3x

-5 = 10+5x

Subtract 10 from each side

-5-10 = 10+5x -10

-15 = 5x

Divide each side by 5

-15/5= 5x/5

-3 =x

To determine which location yields the higher profit per year, we need the specific data for the annual profit in each location. Please provide the annual profit values for the locations in question, and I will be able to calculate and compare the profit per year.

Without the necessary information regarding the annual profits of the locations, it is not possible to determine which location yields the higher profit per year. To make a meaningful comparison, we need the specific profit figures for each location. Once the annual profit values are provided, we can calculate the profit per year by dividing the total profit by the number of years.

Once the profit per year is calculated for each location, we can compare the values to determine which location has the higher profit per year. However, as the specific data regarding the annual profit in each location is missing, it is not feasible to provide a conclusive answer at this time. Please provide the annual profit figures for the locations in question, and I will be able to assist you further in determining which location yields the higher profit per year.

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Answer:

Richard: 35 years old

Teo: 10 years old

Step-by-step explanation:

Let the ages of Richard and Teo be R and T years old respectively.

R +T= 45 -----(1)

R= 2T +15 -----(2)

Substitute (2) into (1):

2T +15 +T= 45

3T +15= 45

3T= 45 -15 (-15 on both sides)

3T= 30

T= 30 ÷3

T= 10

Substitute T= 10 into (2):

R= 2(10) +15

R= 20 +15

R= 35

Thus, Richard is 35 years old and Teo is 10 years old.

Answer:

6.91

Step-by-step explanation:

Answer:

Step-by-step explanation:

its A

Answer:

c

Step-by-step explanation:

answer is c    u have to divide

Answer:

u stupid

Step-by-step explanation:

dum

yes

because i need points

Answer:

They are both functions, linear equations, and they both have a constant rate if that is what you are asking.

Step-by-step explanation:

Constant rate is k in y=kx. For the equation on the left, 2 is the constant rate and for the equation on the right is 0.5. They are both linear equations because if you line them up on a graph, it will show a straight line. And for every input should give one output. Hope this helps! Have a great day!

Answer:

I think it's C.

Step-by-step explanation:

A. and D. don't make any sense so I assume they're incorrect. B. just seems wrong also by a small margin.

The three consecutive integers are 21, 22, and 23 respectively.

Given that the sum of the squares of three consecutive integers is 1454.

We need to find out what the numbers are.

Let's assume the first integer as x, then the next two consecutive integers can be represented as x + 1 and x + 2 respectively.

Hence we can write the given statement as

x² + (x + 1)² + (x + 2)² = 1454

We can expand the terms of the equation and then simplify it to find the value of x.

After getting the value of x, we can find the next two consecutive integers by adding 1 and 2 to it.

Let's solve the above equation:

x² + (x + 1)² + (x + 2)² = 1454

⇒ x² + x² + 2x + 1 + x² + 4x + 4 = 1454

⇒ 3x² + 6x - 1449 = 0

⇒ x² + 2x - 483 = 0

By solving the above quadratic equation, we can get the value of x as follows:

x = (-2 + √(2² + 4×1×483))/2×1

(We ignore the negative value of x here)

⇒ x = (-2 + 44)/2

⇒ x = 21

Hence the three consecutive integers are 21, 22, and 23 respectively.

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Answer:

i can't see the picture, it's blocked for me

Step-by-step explanation:

Answer:

3)

[tex](-4^{6})^{-2} \\=-4^{-12} \\=\frac{1}{-4^{12} }[/tex]

4)

[tex](-12^{3})^{4} \\= -12^{12}[/tex]

6)

[tex](-x^{-13})^{2} \\= -x^{-26}\\= \frac{1}{-x^{26} }[/tex]

Answer: 7

Step-by-step explanation:

You would have to set it up like a Variables on Both Sides Equation:

95+40m = 25+50m

Solve the equation correctly, just like any other, and biggidy-boom.

Answer:

...

Step-by-step explanation:

Answer:

4.8 months

Step-by-step explanation:

First, let's write down the information that we are given.

Plant A:

Initial Height: 3 in.

Constant Rate of Growth (CRG): 2in/month (2 inches per month)

Plant B:

Initial Height: 1 in.

CRG: 29in/year (29 inches per year)

We can see that Plant B grows 29 inches per year, so lets convert Plant B's 'CGR' to months.

Plant B - Divide by 12 (12 months in a year)

29/12 in/year

Now, Lets put these into equations:

Plant A: y = 2x + 3

Plant B: y = 29/12 x + 1

Now, set these two equations together and solve for x.

2x + 3 = 29/12 x + 1

2 = 5/12 x

4.8

So, after 4.8 months, the plants will be the same height.

Answer:

[tex]y = \frac{x}{3} [/tex]

Step-by-step explanation:

divide both sides by 3 to get the answer

Answer:

X = -7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

8x-2= -9 +7x

+9. +9

8x+7= 7x

-8x. -8x

7 = -x or -1x

÷ -1 to both sides

x = -7

hope this helps

Answer: x = -5

Step-by-step explanation:

Hey there, so you need to Solve for x.

x: 10 - 2x = -5x -5

Add All X's to the left side and All numbers to the right side

-2x+5x = -5 - 10

Add

3x = -15

Simplify

x = -5

~I hope I helped you! :)~

This question was not written properly

A Broadway theater has 600 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $50, main seats for $35, and balcony seats for $25. If all the seats are sold, the gross revenue to the theater is $20,700. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $17,700. How many are there of each kind of seat?

Answer:

Orchestra = X = 270 seats

Main = Y = 350 seats

Balcony = Z

Step-by-step explanation:

Let's represent number of sits in:

Orchestra = X

Main = Y

Balcony = Z

A Broadway theater has 600 seats, divided into orchestra, main, and balcony seating.

X + Y + Z = 600

X = 600 - Y - Z

Orchestra seats sell for $50, main seats for $35, and balcony seats for $25. If all the seats are sold, the gross revenue to the theater is $20,700.

Hence,

50× X + 35 × Y + $25 × Z = $20,700

50X + 35Y + 25Z = 20,700....... Equation 1

If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $17,700.

50×1/2(X) + 35Y + 35Z = $17,700

25X + 35Y + 25Z = $17,700........ Equation 2

600 - Y - Z for X in Equation 1 and 2

Equation 1

50(600 - Y - Z) + 35Y + 25Z = 20,700

30,000 - 50Y - 50Z + 35Y + 25Z = 20,700

Collect like terms

30,000 - 20,700 = 50Y + 50Z - 35Y - 25Z

9,300 = 15Y + 25Z ......... Equation 3

From Equation 2

25(600 - Y - Z) + 35Y + 25Z= $17,700

15,000 -25Y - 25Z + 35Y + 25Z = 17,700

35Y - 25Y + 25Z - 25Z = 17,700 - 15,000

10Y + 0Z = 2,700.......

10Y = 2,700

Y = 2700/10

Y = 270

Hence:

15Y + 15Z = 9,300......... Equation 3

15(270) + 15Z = 9,300

4050 + 15Z = 9,300

15Z = 9300 - 4050

15Z = 5250

Z = 5250/15

Z = 350

X + Y + Z = 600

270 + 350 + Z = 600

Z = 600 - 270 - 350

Z =

Answer:

since when did questions have 2 equal signs

this looks made up

Step-by-step explanation:

Answer:

He can buy no more than 3 gallons

Step-by-step explanation:

Let c = cookies and m = milk

1.5c + 6m

This is how much he is going to spend

it must be less than or equal to 30

1.5c + 6m≤ 30

He is going to buy 8 cookies

1.5*8 + 6m≤ 30

12 + 6m ≤ 30

Subtract 12 from each side

12+6m -12 ≤ 30-12

6m ≤ 18

Divide by 6

6m/6 ≤ 18/6

m≤ 3

All of the above factors - confidence level, required precision (margin of error), and the degree of variation in the population as measured by its standard deviation - are used to determine sample size.

When determining the sample size for a study or survey, several factors need to be considered: confidence level, required precision (margin of error), and the degree of variation in the population as measured by its standard deviation. Let's break down each factor and understand how they contribute to determining the sample size:

Confidence Level: The confidence level represents the degree of certainty or confidence desired in the results. It is typically expressed as a percentage (e.g., 95% or 99%). The higher the confidence level, the more confident we can be that the estimated result falls within a certain range. For example, a 95% confidence level means that if the study were repeated 100 times, we would expect the true population parameter to fall within the estimated range in 95 out of those 100 times.

Required Precision (Margin of Error): The required precision, also known as the margin of error, defines the acceptable amount of uncertainty or error allowed in the estimation. It represents the maximum difference between the estimated result and the true population parameter that is considered acceptable. A smaller margin of error indicates higher precision and vice versa. For instance, if you want to estimate the proportion of people supporting a particular political candidate with a margin of error of ±3%, it means that the estimated proportion should be within 3% of the true proportion.

Degree of Variation (Standard Deviation): The degree of variation in the population, quantified by its standard deviation, reflects how much the values within the population differ from the population mean. If the population has a high standard deviation, it suggests a larger spread of values, indicating greater heterogeneity. Conversely, a low standard deviation implies less variability and more homogeneity in the population. The standard deviation helps determine how much information is needed from the sample to make accurate estimates of the population parameters.

These factors are interrelated in determining the sample size. As the confidence level increases, the margin of error becomes smaller, requiring a larger sample size to achieve the desired precision. Similarly, a higher degree of variation in the population (larger standard deviation) necessitates a larger sample size to capture that variability accurately.

In summary, the confidence level, required precision (margin of error), and degree of variation (standard deviation) are essential factors used in determining the appropriate sample size for a study or survey. The balance between these factors ensures that the sample is representative enough to provide reliable estimates of the population parameters with the desired level of confidence and precision.

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