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Answer:

50

Step-by-step explanation:

................

..............

Answer:

x12

Step-by-step explanation:

To compute least-squares regression equation using a TI-84 calculator, you need a set of data points with corresponding x and y values. The calculator will display equation in the form y = a * x + b.

First, enter the x and y values into lists on the calculator. Let's assume the x-values are stored in list L1 and the y-values in list L2.Next, go to the STAT menu and select CALC. Choose option 4: LinReg(ax+b). Enter L1 for the x-list and L2 for the y-list. Make sure the frequency list is set to 1 (if not applicable). Press Enter to calculate.

The calculator will display the equation of the least-squares regression line in the form y = a * x + b. The coefficient 'a' represents the slope of the line, and 'b' represents the y-intercept.

Remember to round the slope and y-intercept to at least four decimal places, as required.

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Given:

m = 10

The line passes through the point (6,2).

To find:

The equation of line in the standard form.

Solution:

If a line passes through the point \((x_1,y_1)\) with slope m, then the equation of line is

\(y-y_1=m(x-x_1)\)

The line passes through the point (6,2) and m = 10. So, the equation of line is

\(y-2=10(x-6)\)

\(y-2=10x-60\)

\(y-10x=-60+2\)

\(-10x+y=-58\)

Therefore, the correct option is A.

_____________________

Solution:

Exact Form:

\(\frac{4}{7}-(-\frac{3}{8}) = \frac{53}{56}\)

______________________

(^Note^)

To subtract fractions, find the LCD (Least Common Denominator), then combine.

Hope this helps! If so, please lmk! Thanks and good luck!

Answer: 53/56

Step-by-step explanation:

sorry if im wrong but since there is 2 negative signs it is going to become positive. so..

4/7+3/8

then make the denominators the same (56)

then multiply the numerators by the number you multiplied for the denominator for the question.

answer: 32/56+21/56 = 53/56

Answer:

y = 1x - 1

Step-by-step explanation:

\(\frac{y2-y1}{x2-x1}\\\frac{1-(-4)}{2-(-3)}\\\frac{1+4}{2+3}\\\frac{5}{5}=1\\y=1x+b\\1=1(2)+b\\1 = 2 + b\\-1 = b\\y = 1x-1\)

Answer:

-2 yards

Step-by-step explanation:

8-4=4

4-3=1

1-3= -2

Answer:122 days

Step-by-step explanation:

The extra amount (difference) that Sara will pay if she picks Option 2 for the purchase of the car is £445.20.

The extra amount that Sara incurs for choosing Option 2 can be described as the finance charge.

The finance charge covers interest and other fees on credit facilities.

The cost of the car Sara is buying = £15,000

Under Option 1, Sara pays £15,000 straight away

Under Option 2, Sarah:

Deposit (down payment) = 20% = £3,000 (£15,000 x 20%)

Mortgage loan = £12,000 (£15,000 - £3,000)

Monthly payments = £345.70

Period of payments = 36 months (3 years x 12)

Total payments = £12,445.20 (£345.70 x 36)

Total payments under Option 2 = £15,445.20 (£3,000 + £12,445.20)

Difference between (extra amount) Option 2 and Option 1 = £445.20 (£15,445.20 - £15,000)

Thus, we can can conclude that Sara incurs a relative finance cost of £445.20 for choosing Option 2 instead of Option 1.

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The value of expression lim x→1 g(x) is 4.

In mathematics, a limit is a point at which a function becomes close to producing the desired result for the given input values. Limits are necessary for calculus and mathematical analysis and are also needed to establish integrals, derivatives, and continuity. It is used during the analysis process and continually thinks about how the function will act in a particular situation. The idea of the limit of a topological net broadens the definition of the limit of a sequence and relates it to the limit and direct limit in the theory category.

Given expression,

\(4x\leq g(x)\leq2x^{4}-2x^{2} +4\)

For x → 1

4x = 4(1)

    = 4

\(2x^{4}-2x^{2} +4\) = 2(1)-2(1)+4

                     = 4

Hence, the value of lim x→1 g(x) is 4.

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We have 3 triangles that are related in the image

We will use the sine relations to determine the value of x

For triangle ABD

For triangle ABC

For triangle ACD

Now solving the system of equations we have

The answer would be x = 4 units

Answer:

234

Step-by-step explanation:

65/5 = 13

13 x 18 = 234

Answer:

Step-by-step explanation:

156 gallons of water would be used to wash 12 loads. Step-by-step explanation: Given: A dishwasher uses 65 gallons of water to wash 5 loads of dishes.

Answer:

bc=ad

Step-by-step explanation:

Locating the smallest pie slice at 12 o'clock decreases the effectiveness of pie charts because it distorts the visual perception of relative proportions and makes accurate comparisons between slices more challenging.

Pie charts are graphical representations used to display data as a circular "pie" divided into slices, with each slice representing a category or proportion of a whole. The effectiveness of a pie chart lies in its ability to accurately convey the relative sizes of the different categories.

By locating the smallest pie slice at 12 o'clock, we introduce a visual distortion that can mislead viewers. When the smallest slice is at the top, it appears larger than it actually is due to the psychological effect of gravity and our tendency to perceive objects at the top as larger. This can lead to incorrect interpretations of the data and misrepresentation of the proportions.

To ensure the effectiveness of pie charts, it is generally recommended to order the slices based on their size, with the largest slice starting at 12 o'clock and proceeding clockwise in decreasing order. This allows viewers to easily compare the sizes of the slices and accurately understand the proportions they represent.

Therefore, locating the smallest pie slice at 12 o'clock decreases the effectiveness of pie charts by distorting the perception of relative proportions and making accurate comparisons more challenging.

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Answer:

16a-6b

Step-by-step explanation:

2(a-3b)=2a-6b

2a-6b+2a-6b=4a-12b

3(2a+b)=6a+3b

6a+3b+6a+3b=12a+6b

4a-12b+12a+6b=16a-6b

perimeter= 16a-6b

1.1 The relationship between sampling distribution and confidence interval is that the sampling distribution helps us understand the distribution of sample statistics (such as the sample mean or proportion) when repeatedly sampling from a population.

The confidence interval, on the other hand, provides a range of values within which we can be confident that the true population parameter lies based on the sample data.

In other words, the sampling distribution gives us information about the variability and distribution of sample statistics, while the confidence interval uses this information to estimate the range of likely values for the population parameter.

1.2 To calculate the probability that the sample mean is between 9.0 and 11.0, we need to standardize the values using the z-score formula and then look up the corresponding probabilities from the standard normal distribution.

First, calculate the z-scores:

z1 = (9.0 - 10) / (3 / √40) = -1.8257

z2 = (11.0 - 10) / (3 / √40) = 1.8257

Next, look up the probabilities associated with these z-scores using a standard normal distribution table or a calculator. The probability that the sample mean is between 9.0 and 11.0 can be calculated as the difference between the two probabilities:

P(9.0 < x < 11.0) = P(z1 < Z < z2)

1.3 (a) To calculate the probability that the percentage of voters who support the candidate is between 40% and 45% in a sample of 200 voters, we can use the sampling distribution of sample proportions. Assuming the sample proportion follows a normal distribution, we can standardize the values using the z-score formula and then calculate the corresponding probabilities.

First, calculate the z-scores:

z1 = (0.40 - 0.40) / √[(0.40 * (1 - 0.40)) / 200] = 0

z2 = (0.45 - 0.40) / √[(0.40 * (1 - 0.40)) / 200]

Next, look up the probabilities associated with these z-scores using a standard normal distribution table or a calculator. The probability that the percentage of voters who support the candidate is between 40% and 45% can be calculated as the difference between the two probabilities:

P(40% < p < 45%) = P(z1 < Z < z2)

(b) To calculate the probability that the percentage of voters who support the candidate is more than 50%, we can again use the sampling distribution of sample proportions. We standardize the value using the z-score formula and calculate the corresponding probability.

Calculate the z-score:

z = (0.50 - 0.40) / √[(0.40 * (1 - 0.40)) / 200]

Look up the probability associated with this z-score using a standard normal distribution table or a calculator. The probability that the percentage of voters who support the candidate is more than 50% can be calculated as:

P(p > 50%) = P(Z > z)

1.4 To determine the 95% confidence interval for the true mean resistance, we can use the formula:

Confidence Interval = sample mean ± (critical value * standard error)

First, calculate the standard error:

Standard Error = population standard deviation / √(sample size)

              = 0.35 / √10

Next, find the critical value corresponding to a 95% confidence level from a t-distribution table with 9 degrees of freedom (n-1). The critical value for a 95% confidence level is approximately 2.

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The acceleration components of point D are, ax = 3.6 m/s², ay = 6.4 m/s², az = -1.14 m/s²

At the instant shown, the shaft and plate rotates with an angular velocity of 19 rad/s and angular acceleration of 9 rad/s2. The given diagram is shown below. Angular velocity (w) = 19 rad/sAngular acceleration (α) = 9 rad/s²Plate dimension AB = 0.6 m, BC = 0.2 m, CD = 0.4 m, DA = 0.3 m, AE = 0.3 m and EF = 0.4 m.

Determine the wocl and Dsea of Enter the ", y, and Z components of the velocity separated by commas vec m/sThe velocity components for point D can be calculated using the following formula.Vd = R x wWhere R is the position vector of D relative to the origin.

According to the given diagram, the position vector of point D relative to the origin is, R = 0.2i + 0.4j + 0.3kThe velocity of point D can be calculated as follows.Vd = R x w = 0.2i + 0.4j + 0.3k x 19The cross product of R and w can be calculated as follows.i j k 0.2 0.4 0.3 0 19 0 = [(0.4 × 0) - (0.3 × 19)] i - [(0.2 × 0) - (0.3 × 0)] j + [(0.2 × 19) - (0.4 × 0)] kVd = -5.7i + 6.8kThus, the velocity components of point D are, Vx = -5.7 m/s, Vy = 0 m/s, Vz = 6.8 m/s

Determine the acceleration of point D located on the corner of the plate at this instant. Enter the, y, and Z components of the velocity separated by commas vec m/sThe acceleration components of point D can be calculated using the following formula.aD = R x α + w x (w x R)Where R is the position vector of D relative to the origin.

According to the given diagram, the position vector of point D relative to the origin is, R = 0.2i + 0.4j + 0.3kThe acceleration of point D can be calculated as follows.aD = R x α + w x (w x R) = (0.2i + 0.4j + 0.3k) x 9 + 19 x (19 x (0.2i + 0.4j + 0.3k)) = (0.4k - 0.3j) x 9 + 19 x (0.4 x (0.4j - 0.3k))aD = 3.6i + 6.4j - 1.14k.

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False. There is no strong evidence to support the claim that the temporal pattern of super-eruptions (M>8 eruptions) is random.

The statement claims that the temporal pattern of super-eruptions is random, implying that there is no specific pattern or correlation between the occurrences of these large volcanic eruptions. However, scientific studies and research suggest otherwise. While it is challenging to study and predict rare events like super-eruptions, researchers have analyzed geological records and evidence to understand the temporal patterns associated with these events.

Studies have shown that super-eruptions do not occur randomly but tend to follow certain patterns and cycles. For example, researchers have identified clusters of super-eruptions that occurred in specific geological time periods, such as the Yellowstone hotspot eruptions in the United States. These eruptions are believed to have occurred in cycles with intervals of several hundred thousand years.

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The most likely transaction that occurred is the retailer sent the customer a check for $27.25 directly.

Option C is the correct answer.

We have,

Rebate checks are typically sent by the retailer to the customer as an incentive for purchasing their product.

The customer fills out a rebate form and sends it to the retailer, who then verifies the information and issues the rebate check directly to the customer.

This is a common practice in which the retailer offers a rebate to the customer as a promotional or marketing strategy.

Option A is less likely because it suggests that the manufacturer of the item sent the customer a check directly.
While it is possible in some cases, it is less common for manufacturers to handle rebate checks directly.

Option B suggests that the retailer sent a check to the manufacturer, who then passed it along to the customer.

This scenario is less likely because it adds an extra step involving the manufacturer, which is not typically involved in the rebate process.

Option D suggests that the manufacturer sent a check to the retailer, who then passed it along to the customer.

This scenario is also less likely because it involves the manufacturer sending a check to the retailer, which is not the usual process for rebate checks.

Therefore,

The most likely transaction that occurred is the retailer sent the customer a check for $27.25 directly.

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Our students selected 50 residences at random. We discovered that owners live in 26 homes. By the way, we might use this to calculate our sample proportion. The result will be 26 out of 50 and.52. We're going to do an experiment to see if the proportion of owner-occupied homes in your neighbourhood is different from the national average using hypotheses.

The test result will be the null hypothesis. The true percentage being 69 is the null hypothesis. A distinct theory serves as the alternative. According to the inquiry, we are attempting to ascertain whether the community differs from the country. I will admit that 0.69 is not the true proportion. The test statistic must be located. Since this is an example Z test, we are able to use the calculator function in the tests. Sure, window. If we went to the tests and clicked the stat, we would find the single proportion Z. It's a test, really. The Christmas portion cost 69. We have 26 successes out of 50 samples. Since the genuine percentage is different from.69 in our alternative, proportion does not equal no proportion. Our final result will be a negative Z score of 2.599. We receive a p value of 9 from the window. We'll decide on a conclusion. We will contrast our significance level with the p value. It does not provide a relevance level for this issue. We'll only apply 5%. So, we would reject the null hypothesis if our p value is lower than the significance level, correct? Obtaining the sample proportion is necessary. If the null hypothesis is correct, it's a very uncommon occurrence, and we have evidence that the proportion of owner-occupied homes in our community is higher than the national average.

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Answer:

the second one

Step-by-step explanation:

edge 2020

Answer:

b .

Step-by-step explanation:

Answer:

A = 120 cm²

Step-by-step explanation:

The 4 part of the ratio relates to the height of triangle A , then

16 ÷ 4 = 4 cm ← value of 1 part of the ratio, then

5 parts = 5 × 4 cm = 20 cm

The area (A) of triangle B is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the height )

Here b = 12 and h = 20 , then

A = \(\frac{1}{2}\) × 12 × 20 = 6 × 20 = 120 cm²

The height of the triangle is 20 and the area of the triangle B is 120 cm^2

Area of the triangle:

The area of the triangle can be calculated as

Area = \(\frac{1}{2}*base*height\)

Here we have given that

The base of the triangle A = The base of the triangle B = 12 cm

The ratio of the height of triangle A to triangle B is = 4/5

And the height of the triangle A is = 16 cm

If x is the height of the triangle B then

\(\frac{16}{x}=\frac{4}{5}\)

4x = 80

x = 20

Therefore the height of the triangle B is 20 cm

Now substitute these values in the above formula we have

Area of triangle B = 1/2 x 12 x 20

Area of triangle B = 120 cm^2

Hence the final answer is 120 cm^2

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The primary rationale for creating the DSM was to c. describe diagnoses to be used as part of a total case formulation.

As a component of a case components assessment that culminates in an absolutely effective treatment plan for each individual, the primary rationale of DSM-5 is to assist trained clinicians in the investigation of their patients' scholarly issues. In point of fact, the indicators in the various analytical norms units never again address the full meanings of hidden issues, which illustrate mental, emotional, social, and physiological strategies that are far more confounded than could be described in those brief outlines.

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(Complete question)

The primary rationale for creating of the DSM was to Select one: a. provide guidelines for psychiatric hospitalization b. identify the etiologies of mental disorders c. describe diagnoses to be used as part of a total case formulation. d. provide justification for reimbursement for treatment

The probability that Pierre will have to wait more than 30 more minutes, given that he has already waited 40 minutes, is 0.5000.

To calculate the probability, we need to make an assumption about the distribution of waiting times. Let's assume that the waiting times follow a normal distribution with a mean of μ and a standard deviation of σ.

Given that Pierre has already waited 40 minutes, we want to find the probability that his additional waiting time exceeds 30 minutes. In other words, we want to calculate P(X > 70), where X represents the total waiting time.

To compute this probability, we need to know the parameters of the normal distribution, specifically the mean and standard deviation. Without that information, we cannot provide an exact probability.

However, if we assume that the waiting times are normally distributed with a mean of μ = 0 and a standard deviation of σ = 1, we can use standard normal distribution tables or statistical software to find the probability.

From the standard normal distribution table, the probability of getting a value greater than 70 is 0.5000. Therefore, based on this assumption, the probability that Pierre will have to wait more than 30 more minutes, given that he has already waited 40 minutes, is 0.5000.

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Answer: x = 50°

Step-by-step explanation:

Answer:

-7 is less than or equal to 0

Step-by-step explanation:

range is looking at the correlation on the graph from left to right. At -7, there is a dot and at 0, there is a dot. The graph is not continuous, so that is the answer.