HELPPP!!!!
8. Stanley is celebrating his birthday with a 6.82 pound cake. Each piece of cake weighs 0.22 pounds. Into
how many pieces is the cake cut? (5 points)

If a data set contains three unique values, none of the given statements must be true.

The mean is the average of a data set, calculated by summing all values and dividing by the number of values. In a data set with three unique values, the mean will not necessarily be equal to the median, which is the middle value when the data set is arranged in ascending or descending order.

The median is the middle value in a data set when arranged in order. With three unique values, the median will not necessarily be equal to the midrange, which is the average of the minimum and maximum values in the data set.

Therefore, none of the statements "mean = median," "median = midrange," or "median = midrange" must hold true for a data set with three unique values.

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The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.

We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.

Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.

Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.

The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.

Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.

Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.

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You can infer causality from a correlational result, but only when the r value is greater than:

C. 1

Causality refers to a situation in which one event causes another. When there is a correlation between two variables, it means that they tend to move in the same direction.

However, this does not necessarily mean that one event causes the other. In order for a correlation to indicate causality, the correlation coefficient (r) must be greater than 1. If the correlation coefficient is below 1, then there is not enough evidence to suggest that one event causes the other.

In addition, there are other factors that need to be considered when assessing causality from a correlational result.

For example, the strength of the relationship between the variables, the direction of the relationship, and the consistency of the results over time. It is also important to consider the context in which the research was conducted, as this may have an effect on the results.

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Answer:

See attached worksheet

Step-by-step explanation:

The variance of the total weight of flour sacks purchased is 36.

Since the moment generating function of a random variable uniquely determines its moments, we can use the moment generating function MW(t) to find the mean and variance of the weight of one sack of flour.

The first derivative of the moment generating function is:

MW'(t) = 6t/(1 - 3t)³

Setting t = 0, we get the mean:

MW'(0) = 6(0)/(1 - 3(0))³ = 0

So the mean weight of one sack of flour is zero.

The second derivative of the moment generating function is:

MW''(t) = 54t²/(1 - 3t)⁴ + 18/(1 - 3t)³

Setting t = 0, we get the second moment:

MW''(0) = 54(0)²/(1 - 3(0))⁴ + 18/(1 - 3(0))³ = 18

So the variance of the weight of one sack of flour is 18.

Now, let X and Y denote the weights of the first and second sacks of flour, respectively. Since the weights are independently distributed, the variance of the total weight of flour sacks purchased is the sum of the variances:

Var(X + Y) = Var(X) + Var(Y) = 18 + 18 = 36

Therefore, the variance of the total weight of flour sacks purchased is 36.

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Answer:  145,454.4 miles

Step-by-step explanation:

(181818 miles)/(555 hours) = (1638/5) miles/hour or 327.6 miles/hour [What planet is Amanda from?]

(444 hours)*(327.6 miles/hour) = 145,454.4 miles        [Amanda's a Piker]

Answer: 14 2/5

Step-by-step explanation:

A manager be interested in analyzing risk to determine a range of outcomes.

Project managers and their teams undertake risk analysis, such as calculating the likelihood of various undesirable outcomes affecting a project, to avoid or minimize their impacts. The process can help reduce exposure, time, and budget overruns and keep businesses in compliance.

Analyzing risk can help to uncover threats to the success of the projects or business operations, such as: vulnerabilities in security; potential litigations, penalties and non-compliance issues; and, mistakes in budget or scheduling.

In general, there are 4 accepted ways to respond to risks, those are: avoidance, mitigation, acceptance, and transfer.

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You'll have to set this up as two separate problems. First, we want to take 15% off the original $20 bill. To do this, you're going to multiply 20 by .15, which gives you $3. So, 15% off $20 is $17.

Now, we want to find 7% of the new bill, so we're going to multiply 17 by .07 to get $1.19, and add it to the $17, making the final bill $18.19. You could also multiply $17 by 1.07 to get your final total without the extra step in the middle, but only do that once you're comfortable with the math.

Pls give brainiest

Answer:

$24

Step-by-step explanation:

Let the full price of $30 be 100%.

If the discount allowed is 20%, then the percentage of the original price that a customer will pay is:

\(P=100\%-20\%\\P=80\%\)

80% of a marked price of $30 is:

\(80\%*\$30\\\$24\)

A customer will pay $24.

The first expression represents the integral ∫[2alog[-a+AO+(y-y1)²  ], {y1, 0, 2b}], while the second expression represents the integral ∫[2alog[a+AO+(y-y1)²  ], {y1, 0, b}], both involving specific integration intervals and variables satisfying given conditions.

The given mathematical expressions involve integrals that are to be evaluated over specific intervals.

In the first expression, assuming variables a, AO, and b satisfy the given conditions, the integral is ∫[2alog[-a+AO+(y-y1)²  ], {y1, 0, 2b}].

This integral represents the area under the curve of the function 2alog[-a+AO+(y-y1)²  ] with respect to the variable y1, where y1 varies from 0 to 2b.

Similarly, in the second expression, assuming variables a, AO, and b satisfy the given conditions, the integral is ∫[2alog[a+AO+(y-y1)²  ], {y1, 0, b}].

This integral represents the area under the curve of the function 2alog[a+AO+(y-y1)²  ] with respect to the variable y1, where y1 varies from 0 to b.

The integration process involves evaluating the antiderivative of the integrand and then calculating the difference between the values at the upper and lower limits of the integration interval.

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Answer:

C 70.26 in2

Step-by-step explanation:

6 = D

R = D/2

R = 3

A = 3.14 x 3 x 3

A = 3.14 x 9

A = 28.26

The area of the triangle is

A = 6 x 7

A = 42

So

42 + 28.26

70.26 in2

Answer:A

Step-by-step explanation:I took the test it was right.

Because the lines are parallel, we conclude that the system has no solutions.

The solutions for a system of equations are given by the intercepts between the graphs of the equations.

In the given graph, we can see that we have two parallel lines.

Remember that parallel lines never do intersect, then the graphs of the equations in our system never do intercept.

Because there is no intercept, there is no solution for the system.

Which means that the correct option is A, the system has no solution.

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Answer:

x= -1/6

Step-by-step explanation:

x-5/6 = -1

Add 5/6 to both sides

x = - 1/6

The vertex of your parabola lies at those two coordinates .The axis of symmetry, x is 1, was already discovered.

To locate a parabola's vertex, you must first determine x (or y, if your parabola is sideways) using the axis of symmetry formula. The quadratic equation will then be used to solve for y (or x, if your parabola opens to the side) using that value. The vertex of your parabola lies at those two coordinates.

The axis of symmetry is shown as a line, hence x=1. Since it is the highest or lowest point of the parabola, the vertex of a quadratic equation also serves as its maximum and minimum. We need to do a few things in order to locate the vertex: The axis of symmetry, x=1, was already discovered.

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Answer:

3:9

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

27:81

= 27/81

=3/9

=3:9

it could be reduced to 1:3 but because the alternatives does not include, it 3: 9

please reward me by marking me as the brainliest.

Note:

Ortho centre :a point of intersection of altitudes of a triangle meets the opposite angle.

Given:

For Orthocentre:.

A(1, 2), B(2, 6), C(3,-4). are vertices of a triangle:

Slope of AB[m1]=\( \frac{6-2}{2-1} \)=4

Since it is perpendicular to CX.

slope of CX=m2

we have for slope of perpendicular

m1m2=-1

m2=-¼

It passes through the point C(3,-4)

equation of line CX becomes;

(y-y1)=m(x-x1)

y+4=-¼(x-3)

4y+16=-x+3

x+4y+16-3=0

x+4y+13=0........[1]

again:

Slope of AC[m1]=\( \frac{-4-2}{3-1} \)=-3

Since it is perpendicular to BY

slope of BY=m2

we have for slope of perpendicular

m1m2=-1

m2=⅓

It passes through the point B(2,6)

equation of line BY becomes;

(y-y1)=m(x-x1)

y-6=⅓(x-2)

3y-18=x-2

x-3y+18-2=0

x-3y+16=0.........[2]

Subtracting equation 1&2.

x+4y+13=0

x-3y+16=0

-__________

7y-3=0

y=\( \frac{3}{7} \)

again

Substituting value of y in equation 1.

x+4*\( \frac{3}{7} \)+13=0

x=-13-\( \frac{12}{7} \)

x=\( \frac{-103}{7} \)=-14\( \frac{5}{7} \)

So

orthocenter is (-14\( \frac{5}{7} \),\( \frac{3}{7}\))

Circumcentre: a point of intersection of perpendicular bisector of the triangle.

Now

X,Y and Z are the midpoint of AB,AC and BC respectively.

X(a,b)=(\( \frac{2+1}{2} \),\( \frac{2+6}{2} \))=

(\( \frac{3}{2} \),4)

Slope of AB=4

Slope of OX=-¼

Equation of line OX passes through (\( \frac{3}{2} \),4)is

y-4=-¼(x-\( \frac{3}{2} \))

4y-16=-x+\( \frac{3}{2} \)

8y-16*2=-2x+3

2x+8y=3+32

2x+8y=35

x+4y=\( \frac{35}{2} \)........[1]

again

Y(c,d)=(\( \frac{3+1}{2} \),\( \frac{-4+2}{2} \)=(2,-1)

Slope of AC:-3

Slope of OY=⅓

Equation of line OY passes through (2,-1) is

y+1=⅓(x-2)

3y+3=x-2

x-3y=3+2

x-3y=5......[2]

Multiplying equation 2 by 3 and

Subtracting equation 1&2.

x+4y=35/2

x-3y=5

-_______

7y=\( \frac{25}{2} \)

y=\( \frac{25}{14} \)

Substituting value of y in equation 2.

x-3*\( \frac{25}{14} \)=5

x=5+\( \frac{75}{14} \)

x=\( \frac{145}{14} \)

x=10\( \frac{5}{14} \)

circumcenter of a triangle: (10\( \frac{5}{14} \),1\( \frac{11}{14} \))

The correct answer is that 13 students who spend more than 12 hours a week on screens were surveyed.

The provided data represents the number of students based on their screen time and whether their grade average is above or below 80.

To find the total number of students who spend more than 12 hours a week on screens, we need to look at the "Screen Time" category that corresponds to "more than 12 hours" and sum up the corresponding counts.

Looking at the data:

Screen Time:

less than 4 hours: 6 students

4-8 hours: 15 students

8-12 hours: 9 students

more than 12 hours: 13 students

If we consider only the "more than 12 hours" category, we find that there were 13 students.

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Answer:

40

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

the rang is 5 times 6 is 9

Step-by-step explanation:

The cost of putting sod on the​ yard is $1161.5

A trapezoid is a polygon that has just one pair of parallel sides.  The two extra sides of a trapezoid, known as the legs, are not parallel.

The price is calculated by multiplying the area in square feet by the price per square foot.

The formula for a trapezoid's area is

A = (1/2)(\(b_{1}\) + \(b_{2}\))h.

where h represents height and \(b_{1}\) and \(b_{2}\) represent base lengths.

The area is

A = (1/2)(90 ft + 112 ft)(46 ft)

= 4646 \(ft^{2}\)

when the supplied information is filled in.

Given that each square foot costs $0.25,

the price for this many square feet (4646\(ft^{2}\) ) is $0.25/\(ft^{2}\) × $989.23.

The cost of sodding the backyard will be $1161.5 according to the landscaper.

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The total amount the customer will be charged per month is $123.93

An expression with a variable is referred to as an algebraic expression. We employ the letter "variable" to stand in for an unknowable value. For instance, the variable x makes the expression 3x + 2 an algebraic expression. Algebraic expressions can be used to illustrate circumstances in which you lack certain knowledge.

For the first 3 phone lines, the customer will be charged $19.99 per line, which is a total of 3 * $19.99 = $59.97.

For the remaining 4 lines, the customer will be charged $15.99 per line, which is a total of 4 * $15.99 = $63.96.

Therefore, the total amount the customer will be charged per month is $59.97 + $63.96 = $123.93.

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Answer:

A. x^27/10

B. 1/x^-27/10

Step-by-step explanation:

Mathematically, if we have the same base, we simply add up the index

Thus, we have that;

x^1/5•x^5/2 = x^(1/5 + 5/2) = x^(2 + 25)/10 = x^27/10

A) In the first form, we have that;

x^27/10

a = 27/10

B) We simply negate what we have above in terms of the index according to the indices law below;

a^b = 1/a^-b

Hence, we have that;

1/x^-27/10

Answer:

n=11

Step-by-step explanation:

an=a1+(n-1)d

14=-36+(n-1)5

14=-36+5n-5

14+36+5=5n

55=5n

n= 11

The psychometric properties of the TFEQ were found to be satisfactory in obese men and women participating in the SOS study. These findings provide support for the use of the TFEQ as a reliable and valid tool for assessing eating behavior in this specific population.

The psychometric properties and factor structure of the Three-Factor Eating Questionnaire (TFEQ) in obese men and women were examined in the Swedish Obese Subjects (SOS) study. The TFEQ is a widely used tool that assesses eating behavior and has three main factors: cognitive restraint, uncontrolled eating, and emotional eating. The study aimed to evaluate the reliability and validity of the TFEQ in this specific population.

To assess the psychometric properties, the researchers measured internal consistency, which evaluates how consistently the items of the TFEQ measure the same construct. They also examined test-retest reliability, which determines the stability of the TFEQ scores over time. Additionally, the researchers assessed construct validity by investigating how well the TFEQ measures the intended constructs.

The study found that the TFEQ demonstrated good internal consistency, indicating that the items within each factor were measuring the same construct. The test-retest reliability of the TFEQ scores was also found to be satisfactory, indicating stability over time.

Regarding construct validity, the results supported the three-factor structure of the TFEQ in obese men and women. This suggests that the TFEQ effectively measures cognitive restraint, uncontrolled eating, and emotional eating in this population.

In conclusion, the psychometric properties of the TFEQ were found to be satisfactory in obese men and women participating in the SOS study. These findings provide support for the use of the TFEQ as a reliable and valid tool for assessing eating behavior in this specific population.

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Answer: 4950 cubic centimeters.

Step-by-step explanation:

We know that, the volume of box = Base area x height

Given: area of the base of a box  = 825 sq. centimeters

height = 6 centimeters.

Then, Volume of the box in cubic centimeters = 825 x 6

= 4950 cubic centimeters.

hence, the volume of the box in cubic centimeters = 4950 cubic centimeters.

Answer:

15/40

Step-by-step explanation:

goats sold over total goats

Answer:

37.5% was sold

Answer:

34.75 i think

Step-by-step explanation:

Answer:

\(\boxed {\boxed {\sf 2 \ hours}}\)

Step-by-step explanation:

Let's set up a proportion to solve. Use the following setup:

\(\frac {hours}{miles}=\frac{hours}{miles}\)

We know that it takes Oliver 4 hours to drive 278 miles.

\(\frac {4 \ hours}{278 \ miles}=\frac{hours}{miles}\)

We don't know how long it takes him to drive 139 miles. Therefore, we use the variable x for hours, because it is unknown.

\(\frac {4 \ hours}{278 \ miles}=\frac{x \ hours}{139 \ miles}\)

\(\frac {4 }{278 }=\frac{x \ hours}{139 }\)

We are solving for x, the hours it takes him to drive 139 miles. The variable must be isolated. It is being divided by 139 and the inverse of division is multiplication. Multiply both sides of the equation by 139.

\(139*\frac {4 }{278 }=\frac{x \ hours}{139 }*139\)

\(139*\frac {4 }{278 }={x }\)

\(2=x\)

It takes Oliver 2 hours to drive 139 miles.