merrell claims that he randomly assigned rats to treatment groups. does the data shown in the dotplots above support his claim? why or why not? g

The quotient of 3.013 × [tex]10^{8}[/tex] and 6.55 × [tex]10^{5}[/tex] expressed in scientific notation is equal to 0.46 × [tex]10^{3}[/tex].

In Mathematics, a quotient is a mathematical expression that is simply used to represent the division of a number (numerator) by another number (denominator).

Generally speaking, any numerical data (number) can be written in scientific notation as shown below:

a × [tex]b^n[/tex]

Where

Next, we would rewrite the given numerical data (number) in scientific notation by dividing by 6.55 × [tex]10^{5}[/tex] as follows:

Scientific notation = 3.013 × [tex]10^{8}[/tex]/(6.55 × [tex]10^{5}[/tex])

Scientific notation = 0.46 × [tex]10^{8-5}[/tex]

Scientific notation = 0.46 × [tex]10^{3}[/tex].

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The length of the rectangle with a perimeter of 24 inches and a width of 7 inches is 5 inches.

The perimeter of a rectangle is given by the formula: P = 2l + 2w where P is the perimeter, l is the length, and w is the width. We know that the perimeter of the rectangle is 24 inches and the width is 7 inches.

Substituting the given values in the formula for the perimeter of the rectangle, we have:

24 = 2l + 2 × 7

Simplifying, 24 = 2l + 14

Subtracting 14 from both sides, we get:

10 = 2l

Dividing both sides by 2, we get: l = 5

Therefore, the length of the rectangle is 5 inches.

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Answer:

let angle GJK be x

GJK=GHK (Base angle of isosceles triangle)

Step-by-step explanation:

x=5x+8

5x-x=8

4x=8

x=8/4

x=2 ans.

Hence,

5x+8

5*2+8

10+8

18.ans

Answer:

When an individual has little experience with a group, and the group is believed to be related to a particular behavior or attitude, this is known as stereotyping.

Step-by-step explanation:

Stereotyping refers to a systematic method of categorizing individuals on the basis of a single characteristic, such as age, gender, or race, and then using that classification to make broad assumptions about them. It is a broad generalization that is made about a particular category or group of people. Stereotyping is an unfortunate part of our society, but it is not something that can be prevented entirely.

The most obvious effect of stereotyping is that it causes people to be unfairly labeled and judged. This can lead to discrimination, as well as negative behavior and attitudes towards certain groups of people. Stereotyping can also limit people's opportunities, both personally and professionally. When people are stereotyped, they are often overlooked for jobs, promotions, and other opportunities that they might otherwise be qualified for.

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As a result, the circumference of the circular walkway is approximately 367.06 square feet.

A circle is a geometric shape made up of all points that are equally spaced apart from the center. It is a flat, two-dimensional object whose radius or diameter serves as its sole defining characteristic. A circle's circumference is the distance around it, while the area of the circle is the amount of space inside it.

given

We must deduct the area of the smaller circle from the size of the larger circle in order to determine the area inside the circular path. Let's use the abbreviations "r" for the smaller circle's radius and "R" for the larger circle's radius. We are aware that the circumference of the smaller circle, which is 132 feet, is equal to the distance around the circular path.

The wider circle's circumference is 132 feet.

2πR = 132

R = 21

The breadth of the circular path, which is equal to the difference between the radii of the two circles, can now be used to calculate the radius of the smaller circle:

R - r = diameter of the circle

21 - r = diameter of the circle

r = 18

The smaller circle therefore has a radius of 18 feet.

Inside the arc of the path, there is:

R2 - r2 equals (21 - 18) = (44 - 324) = (117) 367.06 square feet.

As a result, the circumference of the circular walkway is approximately 367.06 square feet.

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Giovanna deposited $1600 into two accounts, half in First Oak and half in West United.

Interest earned in First Oak account after 5 years at 6% simple interest:

= 0.06 x $800 x 5

= $240

Interest earned in West United account after 5 years at 5% compounded annually:

= $800 x (1 + 0.05)^5 - $800

= $800 x 1.27628 - $800

= $221.02

Total interest earned in both accounts:

= $240 + $221.02

= $461.02

Therefore, Giovanna will have earned $461.02 in interest from both accounts at the end of 5 years.

The volume of balloon A is [tex]\frac{2}{5}[/tex] gallon and the volume of balloon B is [tex]\frac{1}{5}[/tex] gallon.

What is volume?

Any three-dimensional solid's volume is simply the amount of space it takes up. A cube, cuboid, cone, cylinder, or sphere can be one of these solids.

We are given that two balloons have a total volume of [tex]\frac{3}{5}[/tex] gallon.

Let the volume of balloon A be x and the volume of balloon B be y.

So, we get

x + y = [tex]\frac{3}{5}[/tex]

Also, it is given that the difference of their volumes is [tex]\frac{1}{5}[/tex] gallon and Balloon A has a greater volume than Balloon B.

So, we get another equation as

x - y = [tex]\frac{1}{5}[/tex]

Now, on adding both the equations, we get

⇒ 2x = [tex]\frac{4}{5}[/tex]

Now, on solving we get

⇒ x = [tex]\frac{2}{5}[/tex]

Now, on substituting the value of x in the equation, we get

⇒ [tex]\frac{2}{5}[/tex] + y = [tex]\frac{3}{5}[/tex]

⇒ y = [tex]\frac{1}{5}[/tex]

Hence, the volume of balloon A is [tex]\frac{2}{5}[/tex] gallon and the volume of balloon B is [tex]\frac{1}{5}[/tex] gallon.

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a pie chart would be an effective way to quickly and easily understand the distribution of time spent on different course subjects.

For visualizing the percentage distribution of different course subjects, a pie chart would be the most suitable type of chart. Pie charts are ideal for displaying the relative proportions of different categories or groups as slices of a circular pie. Each slice of the pie represents a proportion of the whole, which in this case would be the total time spent on all course subjects during homework sessions. The size of each slice will correspond to the percentage of time spent on each course subject. Therefore, a pie chart would be an effective way to quickly and easily understand the distribution of time spent on different course subjects.

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The new perimeter is 127.2 inches if it is multiplied by 19.

What do you mean by the are and perimeter of the square ?

The area of a square is calculated by squaring the length of one of its sides. If the area of a square is multiplied by a factor, the length of the sides will be multiplied by the square root of that factor. One way to express the concept of perimeter for a square is to state that it is the total distance around the outer boundary of the shape, which is equal to the sum of the lengths of all four sides.

Determining the the value of perimeter :

The area of the square is [tex]7.3 \times 7.3 = 53.29[/tex] square inches.

If this area is multiplied by 19, the new area will be 1012.51 square inches.

To find the new side length of the square, we take the square root of the new area:

[tex]\sqrt{1012.51} = 31.8[/tex] (rounded to one decimal place)

Therefore, the new side length of the square is 31.8 inches.

To find the new perimeter, we multiply the new side length by 4:

[tex]31.8 \times 4 = 127.2[/tex]inches

So the new perimeter is 127.2 inches.

To summarize, when the area of the square with side length 7.3 inches is multiplied by 19, the perimeter is multiplied by the square root of 19, which is approximately 4.36. The new perimeter is 127.2 inches.

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Answer:

y = 22 - x2  or x = 12 - x2

Step-by-step explanation:

The expression that equals ∠BEC is 3x - 27, and the answer is B.

First, we find the measure of ∠BEC using the given information and the value of x. We get

Then, we use the fact that ∠AED is vertically opposite to ∠BEC, so ∠AED = ∠BEC = 63 degrees.

Finally, we need to find the expression among the given choices that equals 63 when x = 30.

Option A is too large, option C is too large, and option D is too small. Option B gives us

which matches the measure of ∠BEC. Therefore, the answer is B.

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Complete Question:

If the measure of BEC is (2x+3) and x=30, which expression could represent the measure of AED?

The empirical rule states that approximately 95% of the population lies within 2 standard deviations of the mean for a normal distribution, but you found that the z-scores that mark off the middle 95% of the standard normal distribution are -1.96 and 1.96. This does not represent a contradiction, and I will explain why is it so ?

The empirical rule, also known as the 68-95-99.7 rule, is a useful guideline to help us understand the proportions of data in a normal distribution. According to this rule, about 68% of the data falls within 1 standard deviation, 95% within 2 standard deviations, and 99.7% within 3 standard deviations. However, it is essential to note that the empirical rule is a simplified approximation.

On the other hand, the z-scores that you calculated, -1.96 and 1.96, are more precise values based on the actual standard normal distribution. These values come from a more accurate calculation using the cumulative distribution function (CDF) of the normal distribution, which gives the exact probability for any given range of z-scores.

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If the initial amount of air in the lungs is 500 ml. approximately then original air is left in the lungs after 5 breaths is 263.86 ml.

During normal breathing, about 12% of the air in the lungs is replaced after one breath,

initial amount of air in the lungs is 500 mL.

After 1 breath original air in lung = 500 - (12/100)500

= 500*(88/100)

= 500 (0.88)

After 2 breath original air in lung =   500 (0.88)  - (12/100)500 (0.88)

=  500 (0.88) (1 - 12/100)

= 500 (0.88) (0.88)

= 500(0.88)²

After n breaths original air in lung =  500(0.88)ⁿ

original air is present after 5 breaths = 500(0.88)⁵

= 263.86  ml

Therefore, original air is left in the lungs after 5 breaths is 263.86 ml.

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ARMY DISBANDED MEANS SOLDIERS WERE RELEASED FROM SERVICE

When George Washington became president in 1789, the army he had

commanded in the American Revolution had disbanded. This means that

the soldiers were released from service and the military units were

dissolved after the end of the war.He pursued two intertwined interests:

military arts and western expansion. At 16 he helped survey Shenandoah

lands for Thomas, Lord Fairfax. Commissioned a lieutenant colonel in 1754,

he fought the first skirmishes of what grew into the French and Indian War.

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Step-by-step explanation:

A is not proportional

Use the graph to record the value of y axis when x is 1, 2, 3, 4, 5, 6

And record the values of x when y is 1, 2, 3, 4, 5, 6 till the end

Using the graph Value of y

(1, 0.9) (2,1.5) (3,2.2) (4,2.5) (5, 3) (6,4) (7, 5) (10,6)

Using the graph, find the value of x when y is 1 - 10)

1.2, 2.5, 5,.....

The slope of the graph also shows that it is not proportional

B is proportional

X is 0 and y is 0

When x is 5, y is 10

Ratio x: y = 5:10 = 1:2

When x is 10, y is 20

Ratio x:y is 10: 20 = 1:2 same as above

C is not proportional

When Moyra is 32, daughter is 8

When her daughter is 22, Moyra will also be 4years older, which is 36

32: 8 = 4:1

36: 12 =3:1

The value of x is the measure of the angle between the tangent lines with arc 46° and is equal to 134°

Given the tangents to the circle intersecting at a point forming the angle x, the measure of the angle x between the tangents is 180 degrees minus the measure of the arc between the two points of tangency.

hence;

x = 180° - arc length

x = 180° - 46°

x = 134°

Therefore, the value of x is the measure of the angle between the tangent lines with arc 46° and is equal to 134°.

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Answer:

x(6x^2 + 5)

Step-by-step explanation:

To factor the expression 6x^3 + 5x, we can first factor out the greatest common factor of the two terms, which is x. This gives:

x(6x^2 + 5)

We can see that 6x^2 + 5 cannot be factored any further using integer coefficients, so the final factored form of the expression is:

x(6x^2 + 5)

The answer and workout is provided in the attachment.

the number of distinct seating arrangements when two seatings are considered the same when everyone has the same two  without neighbors regard to whether they are right or left neighbors is:5!6⋅2=10.6⋅25! = 10

There are $(6-1)! = 5! = 120$ ways to seat six people around a circular table if the seatings are considered distinct. However, we must divide this number by $6$ to account for the fact that rotations of the same seating arrangement are considered the same. We also must divide by $2$ to account for the fact that reflections (i.e., reversing the order of people) of the same seating arrangement are also considered the same.

Therefore, the number of distinct seating arrangements when two seatings are considered the same when everyone has the same two neighbors without regard to whether they are right or left neighbors is:

5!6⋅2=10.6⋅25! = 10

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The two values that are in the solution set are -6 and 4, since both of these values satisfy at least one of the inequalities in the compound inequality.

What is inequality equation?

An inequality is a mathematical statement that compares two values or expressions using one of the inequality symbols: < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).

To solve the compound inequality 4(x + 3) ≤ 0 or x + 1 > 3, we can first simplify the left-hand side of the first inequality:

4(x + 3) ≤ 0

4x + 12 ≤ 0

4x ≤ -12

x ≤ -3

Now we can solve the second inequality:

x + 1 > 3

x > 2

Therefore, the solution set for the compound inequality is all values of x that are less than or equal to -3 or greater than 2. This can be written in interval notation as:

(-∞, -3] ∪ (2, ∞)

Therefore, the two values that are in the solution set are -6 and 4, since both of these values satisfy at least one of the inequalities in the compound inequality.

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The constant angular acceleration of the centrifuge is approximately [tex]-331283[/tex] rad/min² in the negative direction.

To find the constant angular acceleration of the centrifuge, we can use the following kinematic equation:

ω² = ω₀² + 2αθ

Here, ω is the final angular velocity (0 rad/min, since it comes to rest), ω₀ is the initial angular velocity (3450 rev/min), α is the constant angular acceleration we want to find, and θ is the angular displacement (45.8 revolutions).

First, we need to convert the given angular values to radians. We know that 1 revolution equals 2π radians.

Initial angular velocity, ω₀ = 3450 rev/min × 2π rad/rev = 6900π rad/min

Angular displacement, θ = 45.8 rev × 2π rad/rev = 91.6π rad

Now, substitute the values into the kinematic equation:

[tex]0 = (6900π)² + 2α(91.6π)[/tex]

[tex]α = - (6900π)² / (2 × 91.6π)[/tex]

[tex]α ≈ -331283 rad/min²[/tex]

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Answer:

the area ot the triangle is half the area of the rectangle, so the area of the triangle is what sqauare units

Answer: It's  much easier to form a rectangle and multiply the width and the length and then divide it by 2  

Yes, it is possible to have a c2 strictly convex function on a compact domain that is not also strongly convex.

Let's have a look at the following details of it.

A strictly convex function is a function whose Hessian matrix is positive-definite for all arguments. As a result, if f is differentiable and convex, it is strictly convex if and only if its Hessian matrix is positive-definite for all arguments.

The Definition of Strong Convexity: A function is said to be strongly convex if it meets the following criteria:
Let C be a convex subset of a Hilbert space H, and let f:C→ℝ be a continuously differentiable function. There is a positive constant μ such that, for all x,y∈C: f(y)≥f(x)+⟨∇f(x),y−x⟩+μ/2‖y−x‖2

Thus, it is clear from the above-mentioned definitions that it is possible to have a c2 strictly convex function on a compact domain that is not also strongly convex.

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According to the question, "Suppose we randomly select 5 cell-phone owners. What is the probability that all 5 of them find themselves checking their phone for messages, alerts, or calls even when they don't notice their phone ringing or vibrating?"The formula for finding the probability of an event is:P(E) = number of favorable outcomes/number of total possible outcomes.The given data in the question states that 67% of cell-phone owners find themselves checking their phone for messages, alerts, or calls even when they don't notice their phone ringing or vibrating.

Therefore, the probability of any cell-phone owner checking their phone when it is not ringing or vibrating is:P(E) = 67/100 = 0.67To find the probability of 5 cell-phone owners checking their phones when they are not ringing or vibrating, we have to use the multiplication rule of probability. [tex]P(E₁∩E₂∩E₃∩E₄∩E₅) = P(E₁) × P(E₂) × P(E₃) × P(E₄) × P(E₅)P(E₁∩E₂∩E₃∩E₄∩E₅) = 0.67 × 0.67 × 0.67 × 0.67 × 0.67P(E₁∩E₂∩E₃∩E₄∩E₅) = 0.2197[/tex]

Therefore, the probability that all 5 of them find themselves checking their phone for messages, alerts, or calls even when they don't notice their phone ringing or vibrating is approximately 0.2197 or 22%.

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Therefore , the solution of the given problem of function comes out to be even though the two functions' maximum numbers are different, their final behavior is the same.

On the midterm exam, there will be inquiries about design, mathematics, each topic, and both actual and hypothetical locations. a summary of the connections between various components that work together to produce the same outcome. A service is made up of many unique parts that work together to produce unique outcomes for each input. Each post also has a particular location, that could be the enclave, an area, or even something completely different.

Here,

When x = 2, the maximum value of function f is 6, and

when x = -2, the highest value of function g is 3.

Both functions result in the same action in the end.

Both functions move closer to positive infinity as x gets closer to positive or negative infinity.

This is due to the positive quadratic component that dominates the behavior of the leading term in both functions as x increases in magnitude.

As a result, even though the two functions' maximum numbers are different, their final behavior is the same.

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Answer:

There are a total of 143 + 62 = 205 people coming to the party.

To calculate the number of tables needed, we divide the total number of people by the number of people per table:

205 ÷ 15 = 13 with a remainder of 10

Since we can't have a fraction of a table, we need to round up to the nearest whole number, which means the Saad family will need 14 tables for all guests.

Therefore, each internal angle would be 178 degrees in a regular polygon with 360 sides.

In mathematics, an angle is a figure made up of two rays that share a shared endpoint and are referred to as the sides of the angle and the vertex of the angle, respectively. Angles are typically measured in degrees, radians, or other angle measurement units. Angles can be categorized based on how wide they are. An acute angle is one that is less than 90 degrees, an obtuse angle is one that is higher than 90 degrees but less than 180 degrees, and a right angle is one that is 90 degrees. A reflex angle is greater than 180 degrees but less than 360 degrees, and a straight angle is precisely 180 degrees.

given

Since a polygon with that many sides would have sides that are extremely tiny in relation to the radius, if a regular polygon has 360 sides, it is a circle. Since every group of points in a regular polygon has an equal exterior angle and the sum of all exterior angles in a circle is 360 degrees, each exterior angle in a regular polygon would be measured as follows:

360 edges / 360 degrees = one degree.

Each interior angle of a regular polygon with n sides can be determined using the following formula:

Inner angle is equal to (n-2) x 180 / n.

When we enter n = 360 into this algorithm, we obtain:

(360-2) x 180 degrees / 360 = 178 degrees is the interior angle.

Therefore, each internal angle would be 178 degrees in a regular polygon with 360 sides.

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The amount or fraction of work Jerry gets done in 1 hour is 1/3 when it takes him 3 hours to clean all the tank in his section and it take Hart x hours to clean all the tanks in his section.

We know that it takes jerry 3 hours to clean all the tank in his section and it take Hart x hours to clean all the tanks in his section,

when they work together, they can clean the tanks in 1 hour.

now let work be - 1

therefore,

work x Jerry = work x Hart

1×3 = 1×x

3 = 1x

3 = x

therefore in 1 hour work done by Jerry will be 1/3.

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The decision that most clearly reflects a lack of understanding of the concept of sunk costs is "You study eight hours for a final exam even though there is no way now that you can pass the course".

Sunk costs refer to any costs that have already been incurred and cannot be recovered. Sunk costs are irrelevant in decision-making because they are already gone and cannot be recovered. Decision-makers must only consider future costs and benefits when making decisions.

A lack of understanding of sunk costs may result in individuals making decisions based on past costs rather than future costs and benefits. Decision-making that is influenced by sunk costs may result in inefficient resource allocation and lost opportunities.

Individuals must ignore sunk costs and instead focus on future costs and benefits to make effective decisions.

In the given options, "You study eight hours for a final exam even though there is no way now that you can pass the course" is the decision that most clearly reflects a lack of understanding of the concept of sunk costs.

Even though the student has already spent 8 hours studying, the sunk costs are irrelevant because the student cannot pass the course now. The student should focus on future costs and benefits and use the remaining time to study for other courses.

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