What is the mean of the given data set. 39,82,74,96,64,52,74

The solution to –2(8x – 4) < 2x + 5 is x > 1/6

The expression is given as:

–2(8x – 4) < 2x + 5

Expand

-16x + 8 < 2x + 5

Evaluate the like terms

-18x < -3

Divide both sides by -18

x > 1/6

Hence, the solution to –2(8x – 4) < 2x + 5 is x > 1/6

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Answer:

Step-by-step explanation:

he solution to the inequality expression is x > 1/6

Given the inequality expression

–2(8x – 4) < 2x + 5

Expand the parenthesis

-16x + 8 < 2x + 5

Subtract 5 from both sides

-16x + 8 - 5 < 2x + 5 - 5

-16x + 3 < 2x

-16x - 2x < -3

-18x < -3

Divide both sides by -18

-18x/-18 > -3/-18

x > 1/6

Hence the solution to the inequality expression is x > 1/6

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The value of the digit 4 in the number 3.04 is 0.04.

What is the Place Value of a digit ?

Place value is the value a digit in a number represents based on the number's place within the whole.

Here, The place value of the digit 4 is hundredths.

So, Value of digit 4 =  4/100 = 0.04.

Hence, Value of digit 4 in 3.04 is 0.04.

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Based on the given options, the statement that best describes the regression cannot be determined without additional information.

The options do not provide any details about the regression coefficients, R-squared value, or p-values, which are necessary to make a meaningful statement about the regression. It is not possible to determine the quality of the predictions or the significance of the regression based solely on the dependent variable and sample size.
Your answer: B) Statistically significant and quite small MPG prediction errors

This option best describes a regression with a strong relationship between the independent variable (e.g., car characteristics) and the dependent variable (highway miles per gallon). The statement suggests that the model is statistically significant, meaning it can reliably predict MPG, and the prediction errors are small, indicating good accuracy in the predictions.

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The first offer is better from the perspective of a customer but the second one is better from the perspective of a seller.

Here we have different 2 cases, and to find the answer we have to follow a few steps.

First of all, we should simplify these two cases and will try to give them a proper equation format.

Let's assume the price of each yogurt is $x.

Therefore the total price of 2 pots is (2× x) = $2x.

But the condition is if we buy 2 pots, get the 3rd one for free. So, we can purchase a total of 3 pots at the same cost.

∵ If 3 pots cost $2x, then the average cost for each pot is 2x/3 =$0.67x

( average value of each unit = Total value / total unit )

In the second case, if we buy 1 pot we can get the second one at half price.

Therefore, the total price of two pots is, ( x + 0.5x ) = $1.50x

∵ If 2 pots cost $1.50x, then the average cost for each pot is 1.50x/2 = $0.75x

( average value of each unit = Total value / total unit ).

The price of yogurt per pot in the first case <  The price of yogurt per pot in the second case.

As $0.67 <  $0.75.

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Answer:

h=6

k=2.5

m=4.58

n=3\(\sqrt{10\)

p=4.12

Step-by-step explanation:

(a) Approximately 68% of pregnancies have lengths between 251 days and 279 days.

(b) Approximately 95% of pregnancies have lengths between 237 days and 293 days.

We have given that,

lengths of human pregnancies are normally distributed with a mean of 265 days and a standard deviation of 14 days,

(a)

To find the length of 68% of pregnancies  we know the formula,

days ± standard deviation

Therefore

265 - 14 = 251

265 + 14 = 279

Hence approximately 68% of pregnancies have lengths between 251 days and 278 days.

(b)

From the section (a) 68% of pregnancies have lengths between 251 days and 278 days.

Now we will check for 95%

so the formula is

days ± 2× standard deviation

⇒ 265 - 2 × 14 = 237

and 265 + 2 × 14 = 293

Therefore approximately 95% of pregnancies lengths between 237 days and 293 days.

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216.2 ft²

1) The surface area is found by the sum of two times the Base Area and the Side Area.

2) Examining that picture, we can write it out:

2 rectangles: 6.4 x 12

2 rectangles: 1.7 x 6.4

2 rectangles: 1.7 x 12

3) Hence, the total surface area is the sum of those:

S = 153.6 +21.76+40.8

S =216.2 ft² (rounding off to the nearest tenth)

When a pen costs 20php each, and buying more than 10 pens will give you a 50% discount on the next pen(s) you're about to buy, the piecewise function that defines the cost of the pens is

\(f(x)=\left \{ {{20x, if x\leq 10} \atop {10x+100, if x > 10}} \right.\)

Where x is the number of pens being purchased and f(x) is the cost of x pens.

The given statement is about the cost of a pen with a certain discount that can be acquired by the customers for the purchase of pens in bulk. If the number of pens (x) is less than or equal to 10, the cost of x pens is given by 20x i.e., 20 multiplied by the number of pens.

If the number of pens (x) is greater than 10, then the first ten pens will cost 20php each and the remaining pens (x-10) will have 50% discount on each pen. The discounted cost of each pen will be 20php/2 i.e., 10php. Therefore, the remaining (x-10) pens will be multiplied by 10. Therefore, the cost of x pens in this scenario will be given by 10(x-10) + 100.

Hence, the piecewise function that defines the cost of the pens is:

\(f(x)=\left \{ {{20x, if x\leq 10} \atop {10x+100, if x > 10}} \right.\)

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Answer:

50/3

Step-by-step explanation:

For x

3x-2(2+1)=4

3x-2(3)=4

3x-6=4

3x=4+6

3x=10

x=10/3

 as we have to find 5x=?

    5(10/3)

50/3

Answer:

Octagon

Step-by-step explanation:

A polygon refers to a two-dimensional closed shape consists of straight sides.

Perimeter of a polygon = 24 inches

Length of each side of the polygon = 3 inches

Number of sides of a polygon = Perimeter of a polygon ÷ Length of each side of the polygon = \(\frac{24}{3} =8\)

An octagon is a polygon consisting of 8 sides of same dimension.

So,

Name of polygon is octagon.

Confidence interval refers to a statistical measure that helps quantify the amount of uncertainty present in a sample's estimate of a population parameter.

This measure expresses the degree of confidence in the estimated interval that can be calculated from a given set of data. In this scenario, the task is to build a 95% confidence interval for the regression line's slope. The regression analysis output has already been given. According to the output given, the estimated regression model is:y = 25,000 + 9,000 x, where x represents the number of miles the car has been driven and y represents the car's selling price.

The formula to calculate the 95% confidence interval for the slope is:Slope ± t · SE, where Slope is the point estimate for the slope, t represents the critical t-value for a given level of confidence and degrees of freedom, and SE represents the standard error of the estimate. The value of t can be calculated using the degrees of freedom and a t-table. Here, the number of pairs in the sample size is 20, and the model uses two parameters.

Therefore, the degrees of freedom would be 20 - 2 = 18.The critical t-value for a 95% confidence interval and 18 degrees of freedom is 2.101. Using the formula given above, we can calculate the 95% confidence interval for the slope as follows:Slope ± t · SE= 9000 ± (2.101)(700) ≈ 9000 ± 1,467.7 = [7,532.3, 10,467.7]Therefore, the 95% confidence interval for the slope is [7,532.3, 10,467.7]. This means that we are 95% confident that the true value of the slope for this model falls within the interval [7,532.3, 10,467.7].

It implies that the price of the car increases by $7,532.3 to $10,467.7 for each mile driven by the car. In conclusion, a 95% confidence interval has been calculated for the regression line's slope, which indicates that the actual slope of the model lies between the range [7,532.3, 10,467.7].

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Answer:

Magnitude is 5

Step-by-step explanation:

Using the formula for calculating the distance between two points expressed as:

D = √(x2-x1)²+(y2-y1)²

Given the coordinates  (3,5) and (-1,2)

D = √(2-5)²+(-1-3)²

D = √(-3)²+(-4)²

D = √9+16

D = √25

D = 5

Hence the magnitude is 5

Answer:

sin²θ

Step-by-step explanation:

* trig identities are sin²θ + cos²θ = 1, sin²θ = 1 - cos²θ.

tan²θ = sin²θ/cos²θ.

sec²θ = 1/cos²θ.

Now we can begin to work it out.

(sec²θ - 1) / (1 + tan²θ)

Simplify sec and tan

((1/cos²θ) - 1) / (1 + (sin²θ/cos²θ))

now multiply every term by cos²θ

((cos²θ/cos²θ) - cos²θ) / ((cos²θ + sin²θ))

= (1 - cos²θ) / 1

= 1 - cos²θ

= sin²θ

Answer:

The expression is 2 y - 1 2

Step-by-step explanation:

two times the quantity of a number minus 12

Let the number of y.

Two times a number is  2 y

Now minus 12

So, the expression is

2 y - 12

Answer:

x = 14/p.

There can really be 2 answers that are both proportional and rational.

7 packages, 2 toys in each.

2 packages, 7 toys in each.

First let's find how many kilometers the jeep traveled, by subtracting the odometer readings:

Now, to find the miles per gallon, we just need to divide the kilometers by the amount of gallons of gasoline:

So Harry got 17.8 miles per gallon with the Jeep.

Answer:

16. 40°

17. 40°

18. 50°

19. 45°

20. 135°

Step-by-step explanation:

16. angles opposite to each other are equal

17. 180 - 140 = 40

18. 90 - 40 = 50

19. 65 + 70 = 135

180 - 135 = 45

20. 145 + 80 = 225

360 - 225 = 135

hope this helps :)

Answer:

The best chart to show how your department's expenses compare to the total company's expenses, and hopefully save employee jobs, would be:

Pie Chart

Step-by-step explanation:

To create a proof for the given argument, we can use the method of deduction.  F ⊃ C is true based on both methods of proof.

Below is the proof:

1. ~C
2. D ∨ (F ⊃ C)
3. C ∨ ~D / F ⊃ C
4. Assume F
5. C ∨ ~D 3,4 Disjunctive syllogism (DS)
6. C 5,1 Disjunctive syllogism (DS)
7. F ⊃ C 4-6 Conditional introduction (CI)

Alternatively, we can use the method of indirect proof. Below is the proof:

1. ~C
2. D ∨ (F ⊃ C)
3. C ∨ ~D / F ⊃ C
4. Assume ~ (F ⊃ C)
5. F 4, indirect proof (IP)
6. C ∨ ~D 3,5 Disjunctive syllogism (DS)
7. Assume C
8. C 7, direct proof (DP)
9. Assume ~C
10. ~D 6,9 Disjunctive syllogism (DS)

11. D ∨ (F ⊃ C) 2 Addition (ADD)
12. Assume D
13. F ⊃ C 12,11 Disjunctive syllogism (DS)
14. C 5,13 Modus ponens (MP)
15. ~D ⊃ C 10,14 Conditional introduction (CI)
16. ~D 6,8 Disjunctive syllogism (DS)
17. C 15,16 Modus ponens (MP)
18. C 7-8, 9-17 Proof by cases (PC)

Therefore, F ⊃ C is true based on both methods of proof.

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Answer:

To find out actual distance on earth, we need to measure scale. The scale is 1cm to 15 km. Thus, 10 cm on map is equal to ( 10*15) = 150 km on earth. Thus, actual distance on earth is 150 km.

Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

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If cholesterol level were changed to being measured in grams instead of milligrams, the correlation between fat content and cholesterol level would not be affected.

This is because correlation is a measure of the strength and direction of the linear relationship between two variables, and converting the units of measurement does not change the underlying relationship between the variables. So, the correlation coefficient of 0.75 would remain the same whether cholesterol level is measured in milligrams or grams.

The correlation between fat content and cholesterol level for the 20 different brands of American cheese slices is 0.75. If you change the measurement of cholesterol level from milligrams to grams (1 gram = 1000 milligrams), it will not affect the correlation. The correlation coefficient will remain 0.75, as it is unit-less and only represents the strength and direction of the relationship between the two variables.

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The slope of the tangent line to the graph of f at the point (-1, 6) is -4.

To find the slope of the tangent line to the graph of f(x) = x^2 - 2x + 3 at the point (-1, 6), we need to find the derivative of f(x) and evaluate it at x = -1.

The derivative of f(x) with respect to x can be found using the power rule of differentiation. For each term in the function, we multiply the coefficient by the exponent and reduce the exponent by 1. Applying the power rule, we have:

f'(x) = 2x - 2

Now, we evaluate the derivative at x = -1 to find the slope of the tangent line at that point:

f'(-1) = 2(-1) - 2 = -4

Therefore, the slope of the tangent line to the graph of f at the point (-1, 6) is -4.

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Answer:what equation ?

Step-by-step explanation:

Answer:

to what ..............

If you wanted to measure satisfaction with this course on a scale from 1, not very satisfied, to 7, very satisfied, you would use an ordinal scale.

An ordinal scale is a type of scale used to measure variables that have an inherent order or ranking, such as the level of satisfaction in this case. However, the differences between the categories are not necessarily equal or measurable, which rules out the use of an interval or ratio scale. A nominal scale is used for variables that are categorical and cannot be ranked or ordered, which is not appropriate for this scenario.

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It is important to note that the accuracy of our estimates based on the sample standard deviation will depend on the size and representativeness of the sample, as well as the underlying distribution of the population.

When we replace the true standard deviation σ with the sample standard deviation s, we are using an estimate of the population standard deviation based on the sample data.

This can lead to some degree of error or uncertainty in our calculations. Specifically, using the sample standard deviation in place of the true standard deviation can result in wider confidence intervals and larger margin of errors.

However, using the sample standard deviation is a common practice in statistical analysis, particularly when working with small sample sizes or when the true standard deviation is unknown.

It is important to note that the accuracy of our estimates based on the sample standard deviation will depend on the size and representativeness of the sample, as well as the underlying distribution of the population.

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