how many non-empty subsets s of {1, 2, 3, . . . , 8} are there such that the product of the elements of s is at most 200?

Answer: True

Step-by-step explanation:

trust

Answer:

I believe they are true

Step-by-step explanation:

It takes 0.75 seconds to reach the highest position.

In a graph, the relationship between two sets of data or variables is represented visually, usually using lines or curves. In mathematics, a chart is a diagram or visual representation of facts or values that are ordered. The points on the graph are widely used to depict the relationship between two or more items.

Here, we have

Given: Kadeesha throws a ball up in the air. The graph below shows the height of the ball h in feet after t seconds.

The graph indicates that the peak is at (0.75, 9)

The x-axis displays the time in seconds, while the y-axis shows the height in feet.

Consequently, it takes 0.75 seconds to reach the highest position.

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The probability that the mean clock life would be less than 13.6 years in a sample of 40 wall clocks is 0.1337

The probability that the mean clock life would be less than 13.6 years in a sample of 40 wall clocks can be calculated using the t-distribution since the population variance is unknown. The formula for t-distribution is:

t = (x-bar - μ) / (s / √n)

where x-bar is the sample mean, μ is the hypothesized population mean (14 years), s is the sample standard deviation (the square root of the sample variance), and n is the sample size (40).

Using the given variance, we can calculate the sample standard deviation as √16 = 4. Plugging in the values, we get:

t = (13.6 - 14) / (4 / √40) = -1.118

Using a t-distribution table with degrees of freedom (df) = n - 1 = 39, we find that the probability of getting a t-value less than -1.118 is 0.1337. Therefore, the probability that the mean clock life would be less than 13.6 years in a sample of 40 wall clocks is 0.1337 (rounded to four decimal places).

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The coordinates for PLUTO are P(3,2), L(5, -2), U(1, -6), T-3, -2) and O(-1, 1)

When a figure is rotated 90 degrees clockwise about the origin, its new coordinates are found by switching the x and y values of each point and then negating the new x value. This means that if a point had coordinates (x, y) in the original figure, its new coordinates in the rotated figure would be (-y, x).

Using this information, we can find the coordinates of each vertex of PLUTO by working backwards from the coordinates of the vertices of P'L'U'T'O'. For example, the coordinates of P can be found by negating the y-coordinate of P' and switching the x and y values. Applying this formula to P'(2,-3) gives us P(3,2).

Similarly, the coordinates of L can be found by negating the y-coordinate of L' and switching the x and y values. Applying this formula to L'(-2,-5) gives us L(5,-2).

Then for the other coordinates are calculated based on then we get the following,

U'(-6,-1) is U(1, -6)

T'(-2,3) is (-3, -2)

and O'(1,1) is (-1, 1).

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The value of arc PQ is 110.

What is a circle?

It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The sum of the arc measures of a circle is 360 degrees.

So, we can write:

arc PQ + arc PR + arc QR = 360

Substituting the given values, we get:

(8x - 10) + 6x + (10x + 10) = 360

Simplifying and solving for x, we get:

24x = 360

x = 15

Now, we can substitute x = 15 to find the value of arc PQ:

arc PQ = 8x - 10 = 8(15) - 10 = 110

Therefore, the value of arc PQ is 110.

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Shawna wants to make sure her three dogs are fed and cared for when she leaves town for the day. She intends to give each of her dogs 12 ounces of food to achieve this. She must therefore leave a total of 36 ounces of food (3 dogs x 12 ounces of food per dog). 36 ounces are equivalent to 2.25 pounds of food because 16 ounces make up one pound.

There are 0.75 pounds of food in each can of dog food. We must divide 2.25 by 0.75 to find the quantity of dog food Shawna should leave for her companion. 3 dog food cans are the end outcome.Shawna ought to give her buddy three cans of dog food so that she can feed her dogs.

Shawna may make sure her dogs have enough food and are well cared for while she is away by leaving adequate food for them. Shawna may put any fears or concerns about her pets' welfare to rest by leaving ample food and clear directions.

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The probability of at least 10 cities out 45 have a commute time greater than 30 minutes is 0.893 or 89.3%

Apply the complement rule.

Probability that at least one of the 10 cities you select will have a commute time greater than 30 minutes,

The complement of the event is 'none of the 10 cities have a commute time greater than 30 minutes'.

The probability of the complement event can be calculated by ,

Multiplying probabilities of selecting a city with a commute time less than or equal to 30 minutes for each of 10 selections.

P(none of 10 cities have a commute time > 30 minutes) = (35/45) x (35/45) x ... x (35/45) (10 times)

Because there are 35 cities out of the total 45 that have a commute time less than or equal to 30 minutes.

So the probability that at least one of the 10 cities has a commute time greater than 30 minutes is,

1 - P(none of the 10 cities have a commute time greater than 30 minutes)

= 1 - (35/45) x (35/45) x ... x (35/45) (10 times)

= 1 - 0.1073

= 0.8926

Therefore, the probability that at least one of the 10 cities you select will have a commute time greater than 30 minutes is 0.893 or 89.3%.

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The above question is incomplete, the complete question is:

If i randomly sample two cities from this group (consider these 45 the 'population' if you will) then what is the probability that at least one of the 10 cities i select will have a commute time greater than 30 minutes?

The answer is B, because a function has each input value paired to no more than 1 output value. Since 1, 0, and 5 are already in the sets of ordered pairs given, none of those can be the x value.

The expression 1 in 8 can be expressed either as a fraction or as a decimal in the form  1/8 or 0.125  respectively.

In math, what is an expression?

A statement that has at least two numbers or factors and at least one numerical action is referred to as an articulation in mathematics. It is possible to multiply, add, subtract, or divide in this mathematical operation.

                             The following describes the structure of an expression: The expression is (Math Operator, Number/Variable, Math Operator).A statement in mathematics that has at least two numbers or factors and roughly one numerical activity is known as an articulation. Expansion, subtraction, growth, or division are possible outcomes of this mathematical practise.

A 1 in 8 chance of winning a game means that the probability of winning is 1/8

Another way to express this is to find the decimal equivalence of the expression ;

Expressing as a decimal :

       1/8 = 0.125

Therefore, ways of expressing the expression 1 in 8 is 1/8 or 0.125.

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Answer: $15

Step-by-step explanation:

If you have a 70% coupon for a $50 item, that means you are only paying 30% of the normal price.

0.3 x 50 = 15

The item will cost $15

Step-by-step explanation:

There is an equal number of protons and electrons.... they balance each other so that the net charge is zero.

The slope of the linear regression prediction equation is 1,600, which means that for each additional year of

schooling, the expected increase in salary is 1,600.

The slope of the linear regression prediction equation can be calculated by using the formula:

slope = (y2 - y1) / (x2 - x1)

where y2 is the second data point (in this case, 28,600),

y1 is the first data point (in this case, 27,000),

x2 is the second value of the independent variable (in this case, 13 years of schooling), and

x1 is the first value of the independent variable (in this case, 12 years of schooling).

Plugging in the values, we get:

slope = (28,600 - 27,000) / (13 - 12)

slope = 1,600 / 1

slope = 1,600

Therefore, the slope of the linear regression prediction equation is 1,600, which means that for each additional year of

schooling, the expected increase in salary is 1,600.

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A high correlation is insufficient to establish causation on its own.

We have proven that the expression (36⁵ - 6⁹)(38⁹ - 38⁸) is divisible by both 30 and 37.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

To prove that the expression (36⁵- 6⁹)(38⁹ - 38⁸) is divisible by 30 and 37, we need to show that it can be written as the product of 30 and 37 with some integer coefficient.

First, let's look at the factorization of 30: 30 = 2 x 3 x 5.

We can see that 6 is a factor of 36, so we can rewrite 36^5 as (6²)⁵. Similarly, we can write 6⁹ as (6²)⁵ x 6³.

Now, let's factor out (6²)⁵ from the first factor in the expression:

(36⁵ - 6⁹) = (6²)⁵ (6⁵ - 6³)

We can factor out 38⁸ from the second factor in the expression:

(38⁹ - 38⁸) = 38⁸ (38 - 1)

So the original expression can be written as:

(36⁵ - 6⁹)(38⁹ - 38⁸) = (6²)⁵ (6⁵ - 6³) 38⁸ (38 - 1)

Now, let's look at the factorization of 37. We can see that 38 - 1 = 37, so we can rewrite the expression as:

(6²)⁵(6⁵ - 6³) 38⁸ (38 - 1) = (2⁵ x 3⁵) (6³) 38⁸ (37)

We can see that the expression contains a factor of 2⁵, a factor of 3⁵, and a factor of 37, so it is divisible by both 30 and 37.

Therefore, we have proven that the expression (36⁵ - 6⁹)(38⁹ - 38⁸) is divisible by both 30 and 37.

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Answer: The cross section is a rectangle

If the two figures are not related by a dilation with center and scale factor

of 2, followed by a reflection over a line, then Elena's method is not correct. therefore given statement is false.

Elena is claiming that they are similar, and she has shown this by

transforming one figure into the other through a dilation with center and

scale factor of 2, followed by a reflection over a line.

If this is the case, then Elena's method is correct if and only if the two

figures are related by a dilation with center and scale factor of 2,

followed  by a reflection over a line.

A dilation with center and scale factor of 2 will result in a figure that is

twice as large as the original figure, with corresponding sides multiplied

by a factor of 2. If the dilation is followed by a reflection over a line, then

the resulting figure will be similar to the original figure, with

corresponding angles equal and corresponding sides proportional.

However,  In general, two figures are similar if and only if their

corresponding angles are equal and their corresponding sides are

proportional.

There are many ways to show that two figures are similar, including using

transformations such as dilation and reflection, but the specific

transformations used must be appropriate for the figures in question.

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Answer:

The given function is k(t) = cos(2πt/3).

The general form of a cosine function is A*cos(Bx - C) + D, where:

Comparing this form to the given function, we can see that:

Therefore, the amplitude of k(t) is 1, the period of k(t) is 3, the phase shift of k(t) is 0, and the vertical shift of k(t) is 0.

The number of cubic centimeters in the space which is inside the cylinder but outside the cone for given volume is equal to 72 cubic centimeters.

As right circular cone inscribed in a right circular cylinder.

Let A be the apex of the cone and B be the center of the base of the cone.

Let r be the radius of the base of the cone,

and let h be the height of the cone.

Let R be the radius of the base of the cylinder,

and let H be the height of the cylinder.

Volume of the cylinder =  72π cubic centimeters.

⇒ πR^2H = 72π

⇒ R^2H = 72

Base of the cone is a circle with radius r.

⇒ area of the base of the cone is πr^2.

Height of the cone is h.

Volume of the cone = 1/3 × πr^2h

Volume of the space inside the cylinder but outside the cone.

= volume of the cylinder -  volume of the cone.

= πR^2H - 1/3 × πr^2h

Substituting R^2H = 72, we get,

⇒ Required Volume = 72π - 1/3 × πr^2h

Find r and h in terms of R and H.

Using the concept of similar triangles .

For similar triangle sides are in proportion.

⇒r/R = h/H

Solving for r, we get,

r = R × ( h/H )

Substituting this into the equation for the volume,

Volume = 72π - 1/3 × π(R × ( h/H ))^2h

Simplifying, we get,

⇒ Volume = 72π - 1/3 × πh^3R^2/H^2

Value of h that maximizes the volume.

Take the derivative of the volume with respect to h and set it equal to zero,

dV/dh = -2/3 × πh^2R^2/H^2

⇒ -2/3 × πh^2R^2/H^2= 0

Solving for h, we get,

⇒h = 0

Substituting this value of h back into the equation for the volume, we get,

⇒ Required Volume = 72π - 0

⇒ Required Volume = 72π cubic centimeters.

Therefore, the number of cubic centimeters in the space inside the cylinder but outside the cone is 72π cubic centimeters.

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The significance test is a test that claim on the basis of p-value and cannot check if the observed effect and it is the observed effect due to chance. So, the right choice for the answer is option(b).

We have to determine the statement that reflects the test of significance in a number of statements. We check the each option one by one. A significance test tests the claim made. This test used to investigate the claim by considering the null and alternate hypothesis. It cannot used to check about the sample or the experiment are properly design or not. Now, the significance test determines that the observed effect is due to chance. Because it measures the observed difference between the group using the p-value ( probability or chance).

A significance test, tests the claim. It cannot say if the observed effect is important or not. It is only based on test the claim on the basis of p-value and cannot check if the observed effect is important. Hence, option( b) is right.

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Ms. Wilson purchased 6 more glue sticks than Mr. Davis.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

Let's define:

A = number of glue sticks in package A (18)

B = number of glue sticks in package B (12)

p = number of packages purchased

Then, the equations for the total number of glue sticks are:

Package A: g = 18p

Package B: g = 12p

Mr. Davis buys 5 packages of the Package A glue sticks, so he purchased:

g = 18 x 5 = 90 glue sticks

Ms. Wilson buys 8 packages of the Package B glue sticks, so she purchased:

g = 12 x 8 = 96 glue sticks

The difference in the total number of glue sticks that each person purchased is:

96 - 90 = 6 glue sticks.

Therefore, Ms. Wilson purchased 6 more glue sticks than Mr. Davis.

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Answer: $11.20

Step-by-step explanation:

Jade: 8+2*2.5=$12

Chet: 4*2.5+6=$16

12+16=$28

40% of 28=$11.20

The weighted mean of the RORs for each portfolio, from best to worst, is:

Portfolio 3: 4.36%

Portfolio 2: 3.2%

Portfolio 1: 0.94%

To calculate the weighted mean of the RORs for each portfolio, we need to multiply each rate of return by its corresponding portfolio value, sum the results, and divide by the total value of the portfolios:

Weighted Mean ROR = sum of value / total amount

sum of value = portfolio value x rate of return

For Portfolio 1:

(0.089 x 850) + (-0.051 x 2425) + (0.124 x 280) + (0.042 x 1400) + (0.009 x 2330)

Sum of value = 75.65 - 123.68 + 34.72 + 58.8 + 20.97

                      = 61.46.

Weighted Mean ROR = 61.46 / (850 + 2425 + 280 + 1400 + 2330)

                                    = 61.46 / 7285

                                    = 0.0094 or 0.94% (third)

For Portfolio 2:

(0.089 x 1050) + (-0.051 x 1950) + (0.124 x 1295) + (0.042 x 745) + (0.009 x 1050)

Sum of value = 93.45 - 99.45 + 160.58 + 31.29 + 9.45

                      = 195.32.

Weighted Mean ROR = 195.32 / (1050 + 1950 + 1295 + 745 + 1050)

                                    = 195.32 / 6090

                                    = 0.032 or 3.2% (second)

For Portfolio 3:

(0.089 x 1175) + (-0.051 x 550) + (0.124 x 860) + (0.042 x 550) + (0.009 x 2000)

Sum of value = 104.58 - 28.05 + 106.64 + 23.1 + 18

                      = 224.27.

Weighted Mean ROR = 224.27 / (1175 + 550 + 860 + 550 + 2000)

                                    = 224.27 / 5,135

                                    = 0.0436 or 4.36% (first)

To compare the overall performance of the portfolios, we can rank them based on their weighted mean RORs, from highest to lowest:

Portfolio 3: 4.36%

Portfolio 2: 3.2%

Portfolio 1: 0.94%

Therefore, the overall performance of the portfolios, from best to worst, is Portfolio 3, Portfolio 2, and Portfolio 1.

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Answer:

The expression that is equivalent to 6c is:

2 x 3 x c

3 x 2 x c

(2 x 3) x c

(3 x 2) x c

6 x c

All of these expressions represent the product of 6 and c, which is the same as multiplying 6 and c together. Therefore, they are equivalent to 6c.

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

We Know

Nancy placed 3 red pins and 12 yellow pins on the corkboard.

What percentage of the pins were red pins?

We Take

(3÷12) x 100 = 25%

So, 25% of the pins were red pins.

The expression that represents the total amount that Julian paid at the register in terms of x is 0.84x.

What is Percentage?

Percentage is a way of expressing a proportion or fraction as a quantity out of 100. The word "percent" means "per hundred," so percentages are often denoted by the symbol %, which represents one part in a hundred.

The first step is to find the discounted price after the 20% discount. This can be found by multiplying the original price by (1 - 0.2), which represents a 20% reduction.

Discounted price = x - 0.2x = 0.8x

Next, a 4% tax is added to the discounted price. This can be found by multiplying the discounted price by (1 + 0.04), which represents a 4% increase.

Total amount paid = (0.8x) * (1 + 0.04) = 0.84x

Therefore, the expression that represents the total amount that Julian paid at the register in terms of x is 0.84x.

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x=y+1 and x+2y = 7

x-y=1 and x+2y = 7

subtracting x+2y = 7 from x-y=1

x+2y - x+y = 7 - 1

3y = 6

y=2

x = 2+1 = 3

If the assignment is worth 100%, then it would completely replace the current grade you have.

If you have an assignment worth 100% of your grade, it means that the assignment will completely replace your current grade. In this case, your current grade of 68.9 is not relevant, as the new assignment will determine your final grade.

If you're asking how much you need to score on the assignment to maintain or improve your current grade of 68.9, you would need to score at least 68.9% on the assignment to maintain your current grade or score higher to improve your grade.

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The principal advantage of the Dodge-Romig tables is their simplicity. Therefore, the correct answer is D. simplicity.

The Dodge-Romig tables are statistical sampling tables used in quality control to determine the acceptance or rejection

of a production lot based on sample size and the number of defects found in the sample.

The principal advantage of the Dodge-Romig tables is their simplicity.

They provide a quick and easy method for determining the acceptability of a production lot, without the need for

extensive calculations or statistical knowledge.

This means that they can be used by personnel with limited training in quality control.

The principal advantage of the Dodge-Romig tables is their simplicity. While they can be used for receiving inspection,

their main benefit is in minimizing inspection time and effort by providing clear guidelines for lot sampling and

acceptance based on size and level of defects.

Additionally, their use can facilitate smaller lot sizes and more efficient quality control processes.

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The least number of arc measures needed to determine the measures of each angle in the inscribed quadrilateral is 2.

To determine the measures of each angle in the quadrilateral, we need to find the central angles of the arcs that intersect the quadrilateral's vertices. Since the quadrilateral is not a rectangle, it is not a cyclic quadrilateral, which means that its opposite angles do not add up to 180 degrees.

Therefore, we need to use the fact that the sum of the measures of the opposite angles in an inscribed quadrilateral is 360 degrees. Let the angles of the quadrilateral be A, B, C, and D, with opposite angles A and C, and B and D. We can find the measure of arc AC by drawing a chord connecting the endpoints of AC and finding the central angle that intercepts it. Similarly, we can find the measure of arc BD.

Now, we can use the fact that the sum of the central angles that intercept arcs AC and BD is equal to 360 degrees. Let these angles be x and y, respectively. Then, we have:

x + y = 360

We can solve for one of the variables, say y, in terms of the other:

y = 360 - x

Substituting this into the equation for arc BD, we have:

2x + 2(360 - x) = arc BD

Simplifying this equation, we get:

arc BD = 720 - 2x

Now, we can use the fact that the sum of the measures of angles A and C is equal to the measure of arc AC, and the sum of the measures of angles B and D is equal to the measure of arc BD. Therefore, we have:

A + C = arc AC
B + D = arc BD = 720 - 2x

We need to find the least number of arc measures needed to determine the measures of A, B, C, and D. Since we have two equations and two variables (x and A), we can solve for both variables. Then, we can use the equations for B and D to find their measures.

Solving for A in terms of x, we have:

A = arc AC - C
A = 360 - x - C

Substituting this into the equation for B + D, we have:

(360 - x - C) + B + D = 720 - 2x

Simplifying this equation, we get:

B + D = 360 + x - C

Now, we have three equations and three variables (x, A, and C). We can solve for each variable in terms of x, and then use the equation for B + D to find their measures.

Therefore, the least number of arc measures needed to determine the measures of each angle in the quadrilateral is two: arc AC and arc BD.

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