In the Normal model N(100, 15) from Exercise 10, what cutoff value bounds

the highest 5% of all IQs?

the lowest 30% of the IQs?

the middle 80% of the IQs?

From the given information provided, the approximate volume of the cone is 94.24777 cubic inches.

The volume of a cone can be calculated using the formula V = (1/3) × π × r² × h, where "r" is the radius of the base of the cone, "h" is the height of the cone, and "π" is the mathematical constant approximately equal to 3.14159.

Radius r= 3 inches

Height h= 10 inches

π = 3.14159

Using the formula for the volume of a cone, V = (1/3) × π × r² × h, we can substitute the given values to calculate the volume of the cone:

V = (1/3) × 3.14159 × 3² × 10

V ≈ 94.24777 cubic inches

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Answer:

Step-by-step explanation:

Plug in the functions.

(x^2+3x-5) + (2x+1)

Then, combine like terms.

= x^2 + 5x -4

The algebraic expression for the total weight of x bags of fertilizer when each bag weighs 50 pounds is:

50x

In this expression, 50 represents the weight of each bag of fertilizer, and x represents the number of bags. When we multiply the weight of each bag by the number of bags, we get the total weight of all the bags of fertilizer.

The temperature at half past eleven would be 2 °C.

In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations.

Given is that the temperature in Austria one morning was -5 degrees Celsius at eight o clock and increased by 2 degrees Celsius every hour until twelve o clock.

We can write the temperature variation as a function of hour {x} as -

T{x} = (- 5 + 2{x})°C

For half past eleven, we will have -

{x} = 3.5

So, we can write -

T{x} = (- 5 + 2 x 3.5)°C

T{x} = 2 °C

Therefore, the temperature at half past eleven would be 2 °C.

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Answer: 5:50 PM

Step-by-step explanation:

5:15 PM + 0:35 minutes = 5:50 PM

3/8 in a decimal, divide the denominator by the numerator to get 3/8 as a decimal 3/8 is 0.375.

We divide the numerator by the denominator to convert a fraction to a decimal number. This results in a decimal value because, when dividing, we add the decimal place and then add the necessary number of zeros to finish the division.

3/8

3[1/2 x 1/2 x 1/2]

3[0.5 x 0.5 x 0.5]

3 x 0.125

0.375

To convert a fraction to a decimal, all you have to do is divide the numerator by the denominator. We position the number over its place value when converting a decimal to a fraction.

Just dividing the numerator by the denominator is all that is required to convert a fraction to a decimal.

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In the United States, a bushel is legally defined as 2,150.42 cubic inches or approximately 35.24 liters. The weight of a bushel depends on the density of the item being measured.

For example, a bushel of wheat weighs approximately 60 pounds, a bushel of soybeans weighs approximately 60 pounds, and a bushel of apples weighs approximately 42 pounds.

A bushel is a unit of measurement used to quantify dry goods such as grains, fruits, and vegetables. The exact weight of a bushel can differ depending on the item being measured.

It is worth noting that the bushel is not a universal measurement, and other countries may use various standards for measuring dry goods.

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Answer: If there are 12 identically matched points on the picture of the sun, then the angle between any two adjacent points is 360/12 = 30 degrees.

When you line up two suns directly on top of each other, all of the matched points on the top sun will line up with the corresponding matched points on the bottom sun.

To find the least number of degrees that you can rotate the top sun so that the two suns are perfectly aligned again, you need to find the smallest angle that is a multiple of 30 degrees.

The smallest angle that is a multiple of 30 degrees is 360 degrees, which is equivalent to rotating the top sun all the way around once. Therefore, the least number of degrees that you can rotate the top sun so that the two suns are perfectly aligned again is 360 degrees.

Step-by-step explanation:

Answer: 2 trapezoids

Step-by-step explanation: so 1 trapezoid has the same angles and edges as a hexagon, you get 2 and put them together 1 upside one one forward side up, it makes a hexagon

So the answer is: the first arc should pass through point B (not A). All other elements in the diagram appear to be correct.

The elements or members of a set are the parts that make it up. To divide the components of a set, commas and two curly (idle) braces are typically employed. Capital letters are always used to print the set's name. The set "A" in this context consists of the letters v, w, x, y, and z.

Based on the given diagram and instructions, it appears that the error in the construction is that the first arc is centered at point C instead of point A. The correct procedure for constructing a line parallel to line AB and passing through point P is as follows:

1.Draw a line AB and mark point P not on line AB.

2.From point P, draw an arc that intersects line AB at points D and E.

3.Draw another arc, centered at point D, with the same radius as the first arc. This arc should intersect the first arc at point F.

4.Draw a line through point P and point F. This line is parallel to line AB and passes through point P.

So the answer is: the first arc should pass through point B (not A). All other elements in the diagram appear to be correct.

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The third arc should be drawn centred at F.

What is an arc?

In geometry, an arc is a curved segment of a circle or any curved line. It is a part of a curve that is bounded by two distinct endpoints and is characterized by its length, its curvature, and its central angle.

Constructing a parallel line to line AB and passing through point P.

To find:

The error occurred in the construction.

The procedure is,

The first arc must be drawn centred at C.

The second must be drawn centred at P.

Finally, the third arc must be drawn centred at F.

But here, the third arc is drawn centred at D. This is wrong.

The correct step is that the third arc must be centred at F.

Hence, The third arc should be drawn centred at F.

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Answer:

t= -3r

Step-by-step explanation:

False. The Six Sigma DMAIC approach is best suited for number of problems and issues that require a systematic approach and have measurable results. It should not be employed for all problems as some may require a different approach.

The Six Sigma DMAIC (Define, Measure, Analyze, Improve, Control) approach is a systematic process that is used to identify and eliminate defects in processes, products, or services. This approach is best suited for problems and issues that have a structured approach, measurable results, and an opportunity for improvement. However, it should not be employed for all problems as some may require a different approach such as root-cause analysis or process mapping. Additionally, some number of problems may require creative solutions that cannot be addressed using the DMAIC approach. In these cases, alternative approaches such as brainstorming or design thinking should be employed.

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The y-intercept of a linear function is the point at which the graph of the function crosses the y-axis. This point is represented by the coordinate (0, b), where b is the y-intercept.

In the given graph, we can see that the graph of the linear function crosses the y-axis at the point (0, -5). Therefore, the y-intercept of the graph of this function is -5.

To summarize, the y-intercept of the graph of this function is -5.

Answer: -5

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Answer:

100-0.095x

Step-by-step explanation:

1) r base number is 3.

2)This is an exponential growth function

3) the Y interception is (0,2)

4)The purple line in the graph is a Horizontal asymptote and it has an equation 1.

5)The domain of the function is all real numbers.

6) The range of the function is all the real numbers >1

What is exponential growth function ?

A process called exponential growth sees a rise in quantity over time. When a quantity's derivative, or instantaneous rate of change with respect to time, is proportionate to the quantity itself, this phenomenon takes place.

This is an exponential growth function so

Our base number is 3.

For statement 2 as explained, it is a growth function.

As far we get in X-axis higher is the value.

For statement 3 the Y interception is (0,2) as sowed below.

For statement 4 The purple line in the graph is a Horizontal asymptote and it has an equation 1.

For statement 5 The domain of the function is all real numbers.

For statement 6 The range of the function is all the real numbers >1. Because we do not include the asymptote.

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Applying the inscribed angle theorem, the measure of arc WX is: 126°.

An inscribed angle is an angle that is created by two chords intersecting on the outer edge of a circle.

If two inscribed angles are formed by the same arc, then they have the same degree measurement, according to the inscribed angle theorem. The theorem also states that the measure of the inscribed angle is half of the measure of the intercepted arc.

Angles WVX and WYX are inscribed angles that are subtended by the same arc WX. Therefore:

m<WVX = m<WYX

Substitute:

11x - 3 = 8x + 15

Solve for x:

11x - 8x = 3 + 15

3x = 18

3x/3 = 18/3

x = 6

m<WVX = 1/2(m(WX))

Substitute:

11x - 3 = 1/2(m(WX))

2(11x - 3) = m(WX)

22x - 6 = m(WX)

m(WX) = 22x - 6

Plug in the value of x:

m(WX) = 22(6) - 6

m(WX) = 126°

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Limiting reagent calculator provides you the most reliable results in a fraction of seconds without any error that arises in the manual calculation.

A limiting reactant calculator online is a tool used to calculate the amount of reactant needed to produce a specific product. The calculator helps you determine the limiting reactant in a chemical reaction, which is the reactant that will be completely consumed in the reaction.

It does this by calculating the amount of reactant needed to produce the desired amount of product. Once the limiting reactant is known, the amount of excess reactant can be determined.

This calculator can be used to optimize chemical reactions, helping to maximize the amount of product produced while minimizing the amount of reactants used. This can help reduce costs and material waste.

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It should take Danielle 4 hours, or 240 minutes (since 1 hour = 60 minutes), to be 12 miles ahead of David.

What is the relative velocity?

Relative velocity is the velocityof an object or a person with respect to another object or person. It is the rate at which one object is moving with respect to another object. In other words, relative velocityis the speed at which an object is moving relative to a reference point.

To answer this question, we can use the formula:

time = distance / relative speed

Here, we need to find the time it takes for Danielle to be 12 miles ahead of David. Let's assume that t is the time in hours it takes for Danielle to be 12 miles ahead of David.

During this time, Danielle would have covered 12 more miles than David. Therefore, the distance between Danielle and David will be 12 miles.

Relative speed between them can be calculated by subtracting David's speed from Danielle's speed, since they are running in the same direction. So, relative speed will be:

relative speed = Danielle's speed - David's speed

= 7 - 4

= 3 miles per hour

Now, we can substitute the values of distance and relative speed in the formula to find the time it takes for Danielle to be 12 miles ahead of David:

time = distance / relative speed

= 12 miles / (3 miles per hour)

= 4 hours

Hence, it should take Danielle 4 hours, or 240 minutes (since 1 hour = 60 minutes), to be 12 miles ahead of David.

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Answer: the answer is C

Step-by-step explanation:

To make the systems equivalent, we need to multiply both sides of each equation in the first system by the same constant in order to get the corresponding equations in the second system.

If we multiply the first equation in the first system by 4, we get:

16x + 20y = -12

If we multiply the second equation in the first system by -4, we get:

-20x + 12y = 52

Comparing this to the second system, we see that the equation -20x + 12y = 52 matches the second equation in the second system. Therefore, the value of C in the second system must be 52.

So, the answer is C.

The function that can be graphed is option (d) f(x) = √(x + 1) + 8

Functions are commonly used in mathematics to describe relationships between variables.

To determine which of the four functions could be graphed, we first need to identify the curve's intercepts and asymptotes.

From the graph, we can identify the intercepts as (0,8) and (–3,0). The asymptotes are given by the equations x = 0 and y = 8. We can then use these points to compare the given functions and determine which one could be used to graph the curve.

Of the four functions, only f(x) = √(x + 1) + 8 fits the given description. This function has intercepts at (0,8) and (–3,0) and asymptotes at x = 0 and y = 8. Thus, f(x) = √(x + 1) + 8 is the function that could be graphed

Therefore, option (d) is right choice.

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Answer: D

Step-by-step explanation:

EDGE 2023

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

To draw the different views of this figure we must simulate its rotation to see it from different angles. In the attached image are the different views.

To draw the different views of this figure we must take into account its shape. In this case we have a figure made up of four squares. Three of them are aligned and one of them is in the middle zone.

According to the above, to draw the views we must simulate rotations of this figure to establish its views. In the attached image are the views. In the top view you would only see two squares, in the front view you would see three squares and in the side view you would see all four squares.

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The value of c that makes the function, f(x) = x² , x ≠0 and c , x = 0, continuous at x=0 is equals to 3.

The condition for continuity of a function f(x) at x=a : limf(x) = f(a)

x→a

Before convincing the above condition, we have to examine that the limit is exit or not at x=a. To test the condition for existancy of a limit at x=a of a function

f(x), we have to fulfill the following condition: lim f(x) = lim f(x)

x→a⁻ x→a⁺

Sometimes to evaluate a limit, we get indeterminate forms such as 0/0 or ∞/∞. In those cases, we use L'Hospital's Rule.

Now, we have f(x) = x² , x ≠0 and c , x = 0.

limf(x) = lim x² + 3 = (0)² + 3 = 3

x→0 x→0

So, lim f(x) = 3. For f(x) to be continuous

x→0

lim f(x) = f(0) => c = 3. Thus, c will work as

x→0

we have provide function is continuous.

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Complete question:

Find a value of c that makes the following function continuous at x = 0, explain why the value of c works. f(x) = x² , x ≠0 and c , x = 0

The percentages of executives receiving bonuses are given as follows:

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

The function for the percentage of executives receiving bonuses in t years after 1998 is given as follows:

B(t) = 4.816(1.338)^t.

2002 is 2002 - 1998 = 4 years after 1998, hence the percentage is given as follows:

B(4) = 4.816(1.338)^4 = 15.44%.

The percentage for 2003 is then given as follows:

B(5) = 4.816(1.338)^5 = 20.65%.

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Answer:

87.92 m

Step-by-step explanation:

Circumference = pi*diameter

3.14*28m = 87.92 m

Answer:

Based on the given information, the value of the stock is 1.75 less than the original value since the plotted value is located 1.75 units to the left of the 0 mark. Therefore, the correct statement is: "The stock is 1.75 less than the original value, and the absolute value is 1.75."

The factor tree shows how 216 can be factored into its prime factors.

216 = [tex]2^3 \times 3^3[/tex]

In order to construct a factor tree for 216, we first identify any two of its components before further decomposing those factors into other factors until we arrive at the prime factorization. One potential factor tree for 216 is shown below:

   216

    /   \

   6    36

  / \    / \

 2   3  6   6

    / \    / \

   1   3  2   3

Beginning with 216, we can see that it can be divided into two components of 6 and 36, making it divisible by 6. These factors are then further dissected until their prime factorizations are reached, which are:

6 = 2 x 3

36 = 2 x 2 x 3 x 3

We obtain the prime factorization of 216 by combining these prime factors:

216 = 2 x 2 x 2 x 3 x 3x 3

216 = [tex]2^3 \times 3^3[/tex].

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Answer: 18x+24

Step-by-step explanation:

The requried area of the larger triangle is 81 cm².

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not greater than 180°.

Here,
When two triangles are similar, the ratio of their corresponding sides is the same, and the ratio of their areas is equal to the square of this side ratio.

In this case, the ratio of the sides of the larger triangle to the sides of the smaller triangle is 3/2 (since it is given that the ratio of the sides is 2:3). Therefore, the ratio of the areas of the larger triangle to the area of the smaller triangle is (3/2)² = 9/4.

Given that the area of the smaller triangle is 36 cm^2, we can use the area ratio to find the area of the larger triangle:

Area of larger triangle = (9/4) × (Area of smaller triangle)

= (9/4) × 36 cm²

= 81 cm²

Therefore, the area of the larger triangle is 81 cm².

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