Researchers wanted to determine if there was an association between the level of happiness of an individual and their risk of breast cancer. The researchers studied 1813 people over the course of 5 years. During this 5-year period, they interviewed the individuals and asked questions about their daily lives and the hassles they face. In addition, hypothetical scenarios were presented to determine how each individual would handle the situation. These interviews were videotaped and studied to assess the emotions of the individuals. The researchers also determined which individuals in the study experienced any type of breast cancer over the 9-year period. After their analysis, the researchers concluded that the happy individuals were less likely to experience breast cancer. (a) What type of observational study was this? Explain. (b) What is the response variable? What is the explanatory variable?

Answer:

13.01

Step-by-step explanation:

The zero next to the 7 is the hundredths place.

13.007

Drop the 7.

Now you have 13.00

Since 7 is from 5 to 9, the last zero goes up 1 to 1.

Answer: 13.01

Answer:

13.01

Step-by-step explanation:

13.00|7

When the number is 5 or higher round up

13.01

(-1/5, 37/70) are the coordinates of a point 7/10 of the way between A and B.

Let P be the point 7/10 of the way from A to B. This implies that it partitions P in the 7:10 ratio (AP/PB = 7/10).

Should use section formula to find the coordinates, which is given as:

x = (mx₂ + nx₁)/(m + n)

y = (my₂ + ny₁)/(m + n)

Where,

(x₁, y₁) = A(-4, -7)

(x₂, y₂) = B(11, 5)

m = 7 and n = 10.

Put the values to obtain the x and y coordinates of point P.

y = (7×5 + 10(-7))/(7 +10)

On solving;

y = -1/2

Solve for x coordinates;

x = (7(11) + 10(-4))/(7 +10)

on solving;

x = 37/70

Therefore, the coordinates of a point 7/10 a way from A and B is (-1/5, 37/70).

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Answer:

x = -5

Step-by-step explanation:

add 14 to both sides:

x = -19 + 14

x = -5

Answer:

the number is 53611

Step-by-step explanation:

mark me brainliest hope this answer helps

Answer:

Step-by-step explanation:

The answer is 63

hope this helps :)

It should be noted that the value of 98.3 x 104.7 will be 10292.01.

It should be noted that the first method will be to multiply the values directly. This will be:

= 98.3 x 104.7

= 10292.01

The second method will be to convey them to the nearest while number and multiply. This will be

= 98.3 × 104.7

= 98 × 105

= 10290

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Answer:

See below

Step-by-step explanation:

A function is continuous within an interval if its first derivative exists
[tex]\text{The first derivative of }\dfrac{2x+3}{x\:-\:2} = \dfrac{d}{dx}\left(\dfrac{2x+3}{x\:-\:2}\right) = -\dfrac{7}{\left(x-2\right)^2}[/tex]

Let's call this first derivative g(x)

g(x) is defined at all values of x except at x=2 since at this value the denominator becomes 0 and g(x) is not defined.

So the function has a discontinuity at x = 2

But in the interval (2, ∞ ) the function g(x)  always has a real value so f(x) is continuous in that interval

Walmart's EBIT for the year 2018 is $17,101.

To find Walmart's EBIT:

Therefore, Walmart's EBIT for the year 2018 is $17,101.

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The correct question is given below:

What is Walmart's EBIT for the year of 2018 (round it to 3 numbers after the decimal point -> 0.581)?

EBIT= net income (Listed as "Net IncomeAvail to Common, GAAP" in Statement) + net income attributable to noncontrolling interest ("Listed as Income Loss Incl. MI Minority Interest" on Statement) + income taxes + interest expense (Interest Expense Net + "Interest Income" from the Statement ) (A financial statement would be provided).

Answer:

81

Step-by-step explanation:

Red marbles = r

Black marbles = b

Red : Black

60  :   40

  r   :   b              

40r = 60b

r = (60/40)b

Red : Black

 4   :    3

 r    :  b + 9        

3r = 4(b+9)

3r = 4b + 36

3((60/40)b) = 4b + 36

(9/2)b = 4b + 36

(9/2)b - 4b = 36

(1/2)b = 36

b = 72  This is the original amount of black marbles

They added 9 after this, so

72 + 9 = 81

Answer:

x<−2 or x<5

Step-by-step explanation:

x<−2 or x<5

We know either x<−2 or x<5

x<−2(Possibility 1)

x<5(Possibility 2)

The system of inequalities is y ≤ 12 - x and y ≥ 8 - (3/5)x and the point (2 , 8) satisfies both inequalities.

A mathematical statement known as an inequality contrasts two algebraic expressions using the greater-than (>), less-than (<), and other inequality symbols. A compound inequality is a pair of inequality related by and or or or. The properties of inequalities will be used in this course to solve linear and compound inequalities in one variable. Absolute-value equations and inequalities continue to be studied.

While there are many similarities between solving equations and solving inequalities, we must also take the direction of the inequality into consideration.

Now let us form the two inequalities:

If x is the number of hours she worked babysitting and y is the number of hours she spent lifeguarding then

x + y ≤ 12

or, y ≤ 12 - x

Now if she makes 12 dollars babysitting and 20 dollars lifeguarding then

12 x + 20 y ≥ 160

or , 20y ≥ 160 - 12x

or , y ≥ 8 - 3/5x

Let us solve the inequalities graphically.

From the graph we can see that

the point (2 , 8) satisfies both inequalities.

So if Naomi works 2 hours babysitting and 8 hours lifeguarding she can satisfy both conditions.

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Answer:

No.

Step-by-step explanation:

The function would be a discrete function if the individual points in the function didn't share the same x-coordinates. Both the points (0,1) and (0,3) share the same x-coordinate, x=0, so the function doesn't pass the vertical line test.

Dividing the number 5 by 4 gives a rational number 5/4.

The word 'rational' comes from the word 'ratio.'

For the given expression;

When 5 is divided by the number 4, 4 will not completely divide the number 5 as 5 is not the multiple of 4.

Thus, dividing 5 by 4 gives the rational number 5/4.

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Answer:

4a.        [tex]\bold{\frac{-x+7}{6\left(2x-1\right)}}[/tex]

4b.        [tex]\frac{-19x-4}{\left(3x+1\right)\left(3x-1\right)}[/tex]

Step-by-step explanation:

The expression for problem (4a) is

[tex]\frac{x-1}{4x-2}-\frac{5-2x}{3-6x}[/tex]

Least Common Multiplier of the denominators. The easiest way to do this is to simply multiply the denominators together.

LCM of [tex]4x-2,\:and\;3-6x[/tex]

But first, let's simplify the two expressions by factoring

[tex]4x-2 = 2(2x-1)[/tex] and

[tex]3-6x = -3(1-2x) = 3(2x - 1)[/tex]

[tex]2(2x-1) -3(2x-1)[/tex]

Multiply the coefficients 2 and -3 to get -6 and find an expression that appears in both.

This gives LCM as [tex]6(2x-1)[/tex]

[tex]\mathrm{Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its}[/tex] [tex]\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\:6\left(2x-1\right)[/tex]

For [tex]\:\frac{x-1}{4x-2}[/tex] [tex]\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:3[/tex] since [tex]3(2x-1) = 6x -1[/tex]

[tex]\frac{x-1}{4x-2}=\frac{\left(x-1\right)\cdot \:3}{\left(4x-2\right)\cdot \:3}=\frac{\left(x-1\right)\cdot \:3}{6\left(2x-1\right)}[/tex]

[tex]\mathrm{For}\:\frac{5-2x}{3-6x}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:-2[/tex] since

[tex]-2(3-6x) = (-6 +12x) = -6(-1+12x) = -6 + 12x = 6(2x-1) = 12x - 6 = 6(2x-1)[/tex]  

We get

[tex]\frac{5-2x}{3-6x}=\frac{\left(5-2x\right)\left(-2\right)}{\left(3-6x\right)\left(-2\right)}=\frac{-2\left(5-2x\right)}{6\left(2x-1\right)}[/tex]

Since the denominators are the same, we can apply the fraction rule: [tex]\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}[/tex]

[tex]=\frac{\left(x-1\right)\cdot \:3-\left(-2\left(5-2x\right)\right)}{6\left(2x-1\right)}[/tex]

Numerator [tex]\left(x-1\right)\cdot \:3-\left(-2\left(5-2x\right)\right)=\left(x-1\right)\cdot \:3+2\left(5-2x\right)[/tex]  becomes

[tex]3\left(x-1\right)+2\left(5-2x\right)[/tex] = [tex]3x - 3 + 10x - 4x = -x + 7[/tex]

Therefore the expression result is

[tex]\bold{\frac{-x+7}{6\left(2x-1\right)}}[/tex]

Part (b)

Note that [tex]9x^2-1 = (3x+1)(3x-1) \textrm{using the property} (a+b)(a-b) = a^2-b^2[/tex]

So the LCM is [tex]=\left(3x+1\right)\left(3x-1\right)[/tex] = [tex](3x+1)(3x-1)[/tex]

[tex]\mathrm{Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its}[/tex] [tex]\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\; (3x+1)(3x-1)[/tex]

Multiply the second term in the expression by [tex]3x+1[/tex] and subtract from the first term

==>  [tex]\frac{2x+3}{(3x+1)(3x-1)} - \frac{7(3x+1)}{(3x-1)(3x+1}[/tex]

==> [tex]\frac{2x+3}{9x^2-1} - \frac{7(3x+1)}{9x^2-1}[/tex]

==> [tex]\frac{2x+3-7\left(3x+1\right)}{\left(3x+1\right)\left(3x-1\right)}[/tex]

==> [tex]\frac{2x+3-7\left(3x+1\right)}{\left(3x+1\right)\left(3x-1\right)}[/tex]

==> [tex]\frac{2x+3-21x-7}{\left(3x+1\right)\left(3x-1\right)} \\[/tex]

==> [tex]\frac{-19x-4}{\left(3x+1\right)\left(3x-1\right)}[/tex]

If you want to solve for y, then you would get y = -2x-9

This is the result after subtracting 2x from both sides. This is so we can undo the +2x that happens to the y variable.

Answer:

Infinitely many solutions (If its solved by systems of equations)

y = -2x - 9 (if you ONLY want to solve for y)

Step-by-step explanation:

Well you can solve this is 2 ways. Substitution and Elimination

SUBSTITUTION

2x + y = -9

2x+y=-9

Step 1: Solve 2x+y =−9 for y:

2x+y=−9

2x+y+−2x=−9+−2x(Add -2x to both sides)

y=−2x−9

Step: Substitute −2x−9 for y in 2x+y=−9:

2x+y=−9

2x+−2x−9=−9

−9=−9(Simplify both sides of the equation)

−9+9=−9+9(Add 9 to both sides)

Final answer -----> 0=0

ELIMINATION

2x + y = -9

2x+y=-9

Step 1: Multiply the second equation by -1, then add the equations together.

(2x + y = -9)

-1(2x+y=-9)

Which then becomes:

2x + y = -9

-2x - y = 9

Step 2: Add these equations to eliminate x:

Final answer -----> 0 = 0

Based on the values in b77 b81  function can automatically return the value in c77 is Min().

How do you return a value in Excel?

Reason:

The Excel MIN function returns the smallest numeric value in a range of values. Since $721 is the minimum out of the given 5 values, we use the MIN function.

There's no such function as smallest, lowest and Bottom in excel.

The floor function rounds a given number down to the nearest specified multiple.

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The rate of reaction will increase by a factor of 4. The correct option is D.

In a reaction mechanism, a chemical reaction is depicted step-by-step. It is composed of separate chemical processes known as elementary stages. An elementary reaction is one that only requires one step to complete.

In an elementary reaction, the orders relative to each reactant are equal to the stoichiometric coefficient of that reactant. A provided rate law must be consistent with both the experimental rate law and the overall rate law that is being suggested.

The rate of reaction will be calculated as below:-

Rate (R) = k[x][y]²

R' = k[x][2y]²

R'=4k[x][y]²

R'=4R

Hence, the rate of reaction will increase by a factor of 4.

The complete question is given below:-

Given the following rate law, how does the rate of reaction change if the concentration of Y is doubled? Rate = k [X][Y]2

A) The rate of reaction will increase by a factor of 2.

B) The rate of reaction will increase by a factor of 5.

C) The rate of reaction will increase by a factor of 4.

D) The rate of reaction will decrease by a factor of 2.

E) The rate of reaction will remain unchanged.

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For the given vertical angles that is angle A = (4x-8) and angle B=(3x+18) the value of x = 26

We have been given that angle A and angle B are both vertical angles. Therefore both the angles will be equal as vertical angles are equal.

Thus,   angle A = angle B

Now we will put the value of the respective angles and solve for x, we will get,

       angle A = angle B

      (4x-8)° = (3x+18)°

       4x – 3x = 18 + 8

            x = 26

hence the value of x = 26

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Answer:

Step-by-step explanation: i bet your ray r stands for g

Answer:

2

Step-by-step explanation:

Because 2 goes into 24, 36 and 50.

Answer:

The length of AD is 5 units

Step-by-step explanation:

Width is 24 & Length is 12 of a rectangle.

What is rectangle short answer?

give,

Perimeter = 72

Width = 2*Length

Let P = Perimeter

Let W = Width

Let L = Length

Knowing

P = 2L + 2W = 72

W = 2L

We can rewrite everything in terms of Length

72 = 2L + 2(2L)

72 = 2L + 4L

72 = 6L

72/6 = L

12 = L

W = 2L

W = 2(12) = 24

Width is 24

Length is 12

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Answer:0.81285714285

Step-by-step explanation: bc you are deviding by a desimal

Answer:

see explanation

Step-by-step explanation:

the 3 consecutive even integers are x , x + 2 and x + 4 , then their sum is

x + x + 2 + x + 4 = 72 , that is

3x + 6 = 72 ( subtract 6 from both sides )

3x = 66 ( divide both sides by 3 )

x = 22

x + 2 = 22 + 2 = 24

x + 4 = 22 + 4 = 26

the 3 consecutive even integers are 22, 24 , 26

Total amount of ground beef is 7.5 lbs

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

a) The recipe for the meat loaf used by Jenny can serve a total of 8 people.

Total people = 40

Number of each ingredient

= 40 / 8

= 5

b) As, recipe contains 1 1/2 lb (1.5 lbs) of ground beef,

So, Total amount of ground beef = 1.5 lbs * 5 = 7.5 lbs

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Your question is incomplete, probably the complete question/missing part is:

Jenny is throwing a surprise birthday party for her best friend Katie. She has decided to make Katie’s favorite dish, meat loaf. There will be a total of 40 people at the party. Answer the following questions:

• The recipe says it serves 8 people. By what number should Jenny multiply each ingredient to make enough meat loaf for everyone? 5

• The recipe calls for 1 1/2 lbs. of ground beef. How much ground beef will Jenny need to make enough meat loaf for everyone?

Given the distance and average speed, the runner will take approximately 2.76 hours to complete the marathon.

Speed is simply distance traveled per unit time.

Speed = distance / time

Given the data in the question;

First, convert the unit of distance from miles to meter.

Distance = 26.2 miles = ( 26.2 × 1609.34 )m = 42164.708m

Now, plug the values into the equation and solve for time.

Speed = distance / time

4.25m/s = 42164.708m / time

Time = 42164.708m ÷ 4.25m/s

Time = 9921.1077647s

Next, convert to hours,

Time = 9921.1077647 ÷ ( 60 × 60 )

Time = 9921.1077647 ÷ 3600

Time = 2.76 hours

Given the distance and average speed, the runner will take approximately 2.76 hours to complete the marathon.

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Answer:

See explanation

Step-by-step explanation:

p=1 pie

p divided by 7 is p/7 ==> 1/7

Each friend get 1/7 of the pie.

Since Omar only has half of the pie left and needs to share it equally among his 7 friends, we'll need to divide.

So, a pie has 6 pieces and Omar has only 3 pieces left.

Then, we divide 3 by 7. This gives us a REALLY long decimal so we would have to round.

The rounded answer would be 0.43.

Finally, each friend will get forty-three hundredths of the pie that is left.

The property of real numbers that was applied in the equation, 3.8+(−4.8+(−6.2))=(3.8+(−4.8))+(−6.2), is known as the: distribution property of multiplication.

The distribution property of multiplication is one of the properties of real numbers which states that, given that a(c + d), then we would have:

a(c) + a(d) = ac + ad.

Given the expression, 3.8+(−4.8+(−6.2)), applying the distribution property of multiplication will give us:

(3.8+(−4.8))+(−6.2).

Therefore, the property of real numbers that was applied in the equation, 3.8+(−4.8+(−6.2))=(3.8+(−4.8))+(−6.2), is known as the: distribution property of multiplication.

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keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]2x-y=6\implies -y=-2x+6\implies y=\stackrel{\stackrel{m}{\downarrow }}{2} x-6\leftarrow \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so we're really looking for the equation of a line whose slope is 2 and it passes through (-4 , -6)

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{-6})\hspace{10em} \stackrel{slope}{m} ~=~ 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{ 2}(x-\stackrel{x_1}{(-4)}) \implies y +6= 2 (x +4) \\\\\\ y+6=2x+8\implies y=2x+2[/tex]