Evaluate the expression 2x^2 + 5xy - 3y^2 for x = 2 and y = -1

The 0.900 and 0.100 probability limits for a c chart, with a process average of 16 nonconformities, can be calculated as follows: 26.8 and 5.2, respectively.

To determine the 0.900 and 0.100 probability limits for a c chart, we need to consider the process average of 16 nonconformities. The c chart is used to monitor the number of nonconformities in a process, where the data is collected in subgroups and plotted on a chart.

The probability limits for the c chart are calculated based on the average number of nonconformities and the standard deviation. The standard deviation is estimated using historical data or initial samples. Since we don't have specific information about the standard deviation, we can use a commonly accepted approximation that assumes the distribution of nonconformities follows a Poisson distribution.

For a Poisson distribution, the standard deviation is equal to the square root of the average number of nonconformities. In this case, the process average is 16 nonconformities, so the estimated standard deviation is √16 = 4.

To calculate the probability limits, we multiply the estimated standard deviation by the appropriate factors. The factor for the 0.900 probability limit is 3, and the factor for the 0.100 probability limit is 1.

For the 0.900 probability limit, we multiply the standard deviation (4) by 3, resulting in 12. Therefore, the 0.900 probability limit is 16 + 12 = 28.

For the 0.100 probability limit, we multiply the standard deviation (4) by 1, resulting in 4. Therefore, the 0.100 probability limit is 16 - 4 = 12.

These values indicate the upper and lower limits within which the number of nonconformities should typically fall in a stable process. Any data points exceeding these limits suggest a potential out-of-control situation that may require further investigation.

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Answer:

b=15

Step-by-step explanation:

8²+b²=17²

b²=225

b=15

Answer:

x=-2, y=1

Step-by-step explanation:

Sub x=-3y+1

4(-3y+1)-3y=-11

y=1

then sub y into the first equation

x=-3(1)+1

x=-2

Answer: 0.75

Step-by-step explanation: Each term will divide by 2 and the quotient is the next term

24/2 = 12

12/2 = 6

6/2 = 3

3/2 = 1.5

1.5 / 2 = 0.75

Answer:

B ; C; D

Step-by-step explanation:

The slope measures the rate of change in the dependent variable per unit change in the independent variable :

From the options :

Doing 4 pages of homework in 20 minutes :

The number of pages done per minute = slope

Slope = 20 / 4 = 5

To cycle 32 miles in 4 hours:.

Number of miles to cycle per hour to achieve the feat :

Slope = 32 /4 = 8

Buying 10 shirts for $80:

Cost per shirt = slope

Slope = $80 / 10

Slope = 8

Reading 72 pages in 9 hours

Number of pages read per hour :

72 / 9 = 8 pages

Answer:

Increasing the sampling error (se) will lead to a larger sample size n.

Step-by-step explanation:

True. When determining the sample size n for the purpose of estimating a population mean, a fixed level of confidence (1-alpha) and population standard deviation are typically specified.

The sampling error (se) represents the maximum distance between the sample mean and the true population mean, which is typically set to a desired level of precision.

As the sampling error decreases (i.e., more precision is desired), the sample size n needs to increase in order to achieve the same level of confidence.

Therefore, increasing the sampling error (se) will lead to a larger sample size n.

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Answer:

30 square cenimeters

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Even though the two are equal, it isn't symetrical

Number of dimes collected by Rosalyn = \(250\)

How to calculate the number of dimes by Rosalyn?

Let D = # of dimes ,  Q = # of quarter.

We have

A dime is \(10\) pennies , a quarter is \(25\) pennies and $\(82.50\) is \(8250\) pennies.

Now this leads to the equation:

\(10D + 25 Q =8250\)

If Rosalyn collected \(50\) more quarters than dimes,

Then \(Q=D+50\)

\(10D+25(D+50)=8250\)

\(35D+1250=8250\)

\(35D=7000\)

\(D=\frac{7000}{35}\)

\(D = 200\)

So there are \(200\) dimes.

And since there are \(50\) more quarters than dimes , hence there are \(250\) quarters.

So Rosalyn collected \(250\) dimes.

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A discrete variable is a variable whose value is obtained by counting while a continuous variable is a variable whose value is obtained by measuring.

From the question,

The number of cars a car dealer sells in a day is a discrete variable.

The time it takes to have a medical physical exam is a continuous variable.

Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

To determine whether Alicia's estimate of the surface area of the rectangular prism is reasonable, we first need to check if her calculation of the volume of the rectangular prism is correct.

The formula for calculating the volume of a rectangular prism is:

Volume = length x width x height

Substituting the given values in the formula, we get:

Volume = 11 meters x 5.6 meters x 7.2 meters

Volume = 449.28 cubic meters

As we can see, Alicia's estimate of 334 cubic meters is significantly lower than the actual volume of the rectangular prism, which is 449.28 cubic meters. Therefore, her estimate of the surface area is likely to be incorrect as well.

It is also important to note that the problem statement asks about the estimate of the surface area, not the volume. However, since the formula for calculating the surface area of a rectangular prism also involves the dimensions of length, width, and height, it is highly likely that Alicia's estimate of the surface area would also be incorrect given her miscalculation of the volume.

In conclusion, Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

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Answer:

80

Step-by-step explanation:

16x5=80

The numerator for the given rational expression is 3 + 5k.

In the given rational expression, (3 + 5k) represents the numerator. The numerator is the part of the fraction that is located above the division line or the horizontal bar.

In this case, the expression 3 + 5k is the numerator because it is the sum of 3 and 5k. The term 3 is a constant, and 5k represents the product of 5 and k, which is a variable.

The numerator consists of the terms 3 and 5k, which are combined using addition (+). Therefore, the numerator can be written as 3 + 5k.

To clarify, the numerator is the value that contributes to the overall value of the fraction. In this case, it is the sum of 3 and 5k.

Hence, the correct answer for the numerator of the given rational expression (3 + 5k) / (74/k^2) is 3 + 5k.

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Answer:

It's 28 touchdowns

Step-by-step explanation:

Answer:

28 Touchdowns

Step-by-step explanation:

1/4 of 80 is 20

40% of 80 is 32

20+32=52

80-52=28

The perimeter of the triangle is 21.1 cm

The perimeter of a triangle is the total length of its three sides. It is calculated by adding the lengths of the three sides of the triangle. The perimeter is expressed in the same unit as the length of the sides.

Note:

The Pythagorean formula is a mathematical equation that relates to the sides of a right triangle.

Here we have

The right-angled triangle ABC

From the figure,

Length of side BC = 7 units

Length of side AC = 6 units

Using the Pythagorean formula,

=> AB² = BC² + AC²

=> AB² = 7² + 6²

=> AB² = 49 + 36

=> AB² = 65

=> AB = 8.06 [ Approx ]    

Hence,

Perimeter of the triangle = AB + BC + AC

= 8.06 + 7 + 6

= 21.06

= 21.1   [ Rounded to nearest one ]

Therefore,

The perimeter of the triangle is 21.1 cm

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Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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Answer:

2x(x + 3)

Step-by-step explanation:

Given

2x² + 6x ← factor out the common factor 2x from each term

= 2x(x + 3)

Answer:

Step-by-step explanation:

The probability that Mr. Voss scores higher than Mr. Cull on a randomly-selected Tuesday night can be calculated using the Normal Distribution.

To calculate the probability that Mr. Voss scores higher than Mr. Cull on a randomly-selected Tuesday night, we can use the Normal Distribution. First, we need to calculate the difference between their means, which is 18. Then, we need to calculate the standard deviation of the difference between their scores, which is the square root of the sum of the squares of their standard deviations (√(31²+40²) = 51.96). To calculate the probability, we use the z-score formula, which is (x - mean) / standard deviation. In this case, the z-score is (18 - 0) / 51.96 which is 0.35. Plugging this z-score into a z-table, we get a probability of 0.6379. Therefore, the probability that Mr. Voss scores higher than Mr. Cull on a randomly-selected Tuesday night is 0.6379.

The complete question: Mr. Voss and Mr. Cull bowl every Tuesday night. Over the past few years, Mr. Voss’s scores have been approximately Normally distributed with a mean of 212 and a standard deviation of 31. During the same period, Mr. Cull’s scores have also been approximately Normally distributed with a mean of 230 and a standard deviation of 40. Assuming their scores are independent, what is the probability that Mr. Voss scores higher than Mr. Cull on a randomly-selected Tuesday night?

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Answer:

xy(x+2y)(x2−2xy+4y2)

Step-by-step explanation:

Since both terms are perfect cubes, factor using the sum of cubes formula, a3+b3=(a+b)(a2−ab+b2)a3+b3=(a+b)(a2-ab+b2)where a=xa=x and b=2yb=2y.

Referral sampling is the method used to ensure that convenience samples will have the desired proportion of different respondent classes.

Convenience sampling is a non-probability sampling method that involves selecting participants who are readily available and easily accessible. However, convenience samples may not represent the entire population accurately, as they may introduce biases and lack diversity.

To address this limitation, referral sampling is often employed. Referral sampling involves asking participants from the convenience sample to refer other individuals who meet specific criteria or belong to certain respondent classes. By relying on referrals, researchers can increase the chances of obtaining a more diverse sample with the desired proportion of different respondent classes.

Referral sampling allows researchers to tap into the social networks of the initial convenience sample participants, which can help ensure a broader representation of the population. By leveraging the connections and referrals within the sample, researchers can enhance the diversity and representation of different respondent classes in the study, improving the overall quality and validity of the findings. Therefore, referral sampling is used as a means of ensuring that convenience samples will have the desired proportion of different respondent classes.

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Answer: 0.10175

Step-by-step explanation:

First, bring the decimal points to the right for both numbers, to be a total of 5 decimal points to the right. Then, with the numbers 25 and 407, multiply them, and we get 10175. Then, we must bring the 5 decimal points back, and we end up with 0.10175.

Answer: 0.10

Step-by-step explanation:

on time4llearning

Answer:

a]148

b]150.5

c]60

Step-by-step explanation:

a]149+111+171+166+152+129+162+144

1184/8

148

b]arrange in ascending order

111,129,144,149,152,162,166,171

149+152

301/2

150.5

c]highest-lowest

171-111

60

Distribute

-6(8p+3)

-48p-18

Solution

-48p-18

Answer:

Multiplicative inverse or reciprocal.

Step-by-step explanation:

Multiplicative inverse or reciprocal.