A doctor plans to add evening office hours one day per week. She wants to know which day her patients would most prefer for the evening hours. She decides to ask a representative sample of her patients which day they prefer.

Part A, What does it mean for a sample of the doctor's patients to be representative of the population?

Part B, The doctor uses a computer to make a list of every patient between the ages 18 and 25. She selects every third name on the list. Is this sample likely to be representative of the population of her patients? Explain

Part C, Describe one way the doctor could select a random sample of her patients.

The afternoon practice is 2 hours long.

Let x be the hours the team practices in the afternoon.

Since the team practices 3 hours in the morning, the total number of hours the team practices per day is T = 3 + x

Also, the team practices 4 days per week.

So, the total number of hours the team practices per week = number of hours per day number of days per week = T × 4

= (3 + x)4

= 4(3 + x)

Now, the total number of hours the team practices each week is 20.

So, 4(3 + x) = 20

3 + x = 20/4

3 + x = 5

x = 5 - 3

x = 2

So, the afternoon practice is 2 hours long.

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Answer:

y=-(-32)=3×(x-(-8)

Step-by-step explanation:

point slope form is y-y1=m(x-x1)

Answer:

\(The~endpoints~of~MN~are~(-1,7)~and~(3,-1).\\So,~Midpoint~of~MN=(\frac{-1+3}{2} ,\frac{7-1}{2}) = (\frac{2}{2},\frac{6}{2})=(1,3)\\Now,\\MN~passes~through~(-1,7)~and~(3,-1).\\Slope~of~MN(m_{MN})=(\frac{y_2-y_1}{x_2-x_1})=\frac{-1-7}{3+1} = \frac{-8}{4} =-2\\Let~the~slope~of~the~line~which~is~perpendicular~bisector~of~MN~be~'m'.\\Using~the~condition~of~perpendicular~lines,\\(m_{MN})(m)=-1\\or, -2m=-1\\or, m=\frac{1}{2}\\\)\(The~perpendicular~bisector~of~MN~has~slope~\frac{1}{2}~and~it~passes~through~ midpoint~of~MN, (1,3).\\So,~its~equation~is~given~by:\\y-3=\frac{1}{2}(x-1)\\or, 2y-6 = x-1\\or, x-2y=1-6\\or, x-2y+5=0 ~is~the~required~equation.\)

The equation of the line which is perpendicular to MN is x -2y +5=0

The equation of a line with a slope of m and a y-intercept of (0, b) is

y = mx + b.

The coordinates of M  (-1,7) and N( 3, -1)

So, the midpoints of MN are

\((\frac{-1+3}{2},\frac{ -1+7}{2}) = (1, 3)\\\)

Now, slope of MN be:

\(\frac{y_2-y_2}{x_2-x_1}\) =\(\frac{-1-7}{3+1}\) = -2

slope of MN= -2

Let the slope of line which is perpendicular to MN be m'

So, m x m'=-1

    -2m' = -1

      \(m=\frac{1}{2}\)

So, the equation of the line be:

\(y- 3 = m (x-1)\)

y-3=  \(\frac{1}{2}\) (x-1)

2y-6=x-1

x - 2y +5= 0

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Answer:

3⁷ x 7³ x 11²

Just write down the product of the highest power of all the powers that appear in either or both numbers.

from where I stopped, you could solve using a scientific calculator

Answer:

-2.5

Step-by-step explanation:

28 - f = 30.5

-f = 30.5-28

-f=2.5

f=-2.5

\(\huge\text{Hey there!}\)

\(\mathsf{28 - f =30.5}\)

\(\large\textsf{Or you can say: \textsf{-f + 28 = 30.5}}\)

\(\rm{SUBTRACT\ 28\ to\ BOTH\ SIDES}\)

\(\mathsf{-f + 28 - 28 = 30.5 - 28}\)

\(\rm{CANCEL\ out: 28 - 28\ because\ that\ gives\ you\ 0}\)

\(\rm{KEEP: 30.5 - 28\ because\ that\ helps\ solve\ for\ your\ f-value}\)

\(\mathsf{30.5-28=\bf 2.5}\)

\(\rm{New\ EQUATION: -f = 2.5}\)

\(\textsf{When we have a variable by itself, it is usually understood as an invisible 1 }\)

\(\rm{DIVIDE\ -1\ to\ BOTH\ SIDES}\)

\(\mathsf{\dfrac{-f}{-1}=\dfrac{2.5}{-1}}\)

\(\rm{CANCEL\ out: \dfrac{-1}{-1}\ because\ that\ gives\ you\ 1}\)

\(\rm{KEEP: \dfrac{2.5}{-1}\ because\ it\ gives\ you\ the\ f-value\ result}\)

\(\mathsf{f =\dfrac{2.5}{-1}}\\\\\large\text{or you can say}\downarrow\\\\\mathsf{2.5\div -1=\bf f}\)

\(\uparrow\textsf{SIMPLIFY ABOVE AND YOU WILL HAVE YOUR RESULT OF \bf F}\uparrow\)

\(\boxed{\boxed{\large\text{Amswer: \huge \bf f = -2.5}}}\huge\checkmark\)

\(\large\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

A Transaction by 8 units to the right and 5 units down

transaction By 5 Down 8 Right

The last price value for a bond table is $ 918.85.

Finding the last price:

The fomrula used to find the last price is given by

        Net amount = number of bonds x price x (100% - rate)

Where the rate is the percentage of the face value paid as commission, and the price is the price per bond as a percentage of the face value.

Here we have

A bond table for a sale of 40 bonds that resulted in a net amount of 36,754

To find the last price we need to use the formula:

Net amount = number of bonds × price × (100% - rate)

We can rearrange this formula to solve for the price:

Price = Net amount / (number of bonds x (100% - rate))

Substitute the given values, and we get:

Price = $36,754 / (40 x (100% - 0%)) = $918.85  

Therefore,

The last price value for a bond table is $ 918.85.

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Answer: f(x)=90

Step-by-step explanation:

f(x)=-(-9)^2-(9)     substitute -9 for x

f(x)=9^2+9           simplify negatives

f(x)=81+9             simplify exponents

f(x)=90                 add

Answer:

Step-by-step explanation:

−−−√2

We know that −a=−1.a

⟹−1.6−−−−√2

Apply ab−−√c=a−−√cb√c

−1−−−√26–√2

Remember that −1−−−√=i

i26–√2

Apply x−−√2=|x|

|6|i2=6i2

Use i2=−1

⟹−6

It should take approximately 1.98 hours, or around 1 hour and 59 minutes, to cook a 5.17 pound beef rib roast based on the recommended guideline of 23 minutes per pound at a 325°F oven setting.

To calculate the cooking time for a 5.17 pound roast, we can use the recommended guideline of 23 minutes per pound. First, we need to convert the weight from pounds to minutes, and then convert minutes to hours.

Cooking time in minutes = 5.17 pounds * 23 minutes/pound

Cooking time in minutes = 118.91 minutes

To convert minutes to hours, we divide the total minutes by 60:

Cooking time in hours = 118.91 minutes / 60

Cooking time in hours ≈ 1.98 hours

Therefore, it should take approximately 1.98 hours to cook a 5.17 pound beef rib roast based on the recommended guideline of 23 minutes per pound at a 325°F oven setting.

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Answer:

y=3/4x-3

Step-by-step explanation:

subtract 3x from both sides: -4y=-3x+12

divide by -4: y=3/4x-3

The total weight is 18.5 kilograms

Answer:

Option 4.

Step-by-step explanation:

Tan(X)=perpendicular/base

Tan(X)=48/14

X=arctan(48/14)=74

Answer:

2x +6

Step-by-step explanation:

Answer:

C. About 8.6 Units

Step-by-step explanation:

Distance Formula

Answer:

21.9

Step-by-step explanation:

When rounding to the nearest tenth, we are rounding to 1 decimal place.

If the number in the hundredth place is 5 or more, we round up.

If the number in the hundredth place is less than 5, we round down.

17.26 rounded to the nearest tenth is 17.3

as 6 is in the hundredth place, so we round 2 tenths up to 3 tenths.

4.556 rounded to the nearest tenth is 4.6

as 5 is in the hundredth place, so we round 5 tents up to 6 tenths.

Therefore, 17.3 + 4.6 = 21.9

Answer:

19.625 miles

Step-by-step explanation:

The diameter of the circle is 25 miles, so the circumference is 25 x pi = 78.5.

78.5 x 1/4 (0.25) = 19.625 miles

Groups A, B, and C have means of 4, 6, and 8, respectively. There are 15 cases in total, with equal sample sizes in each group. Within is 120. 16-7. 16-4a, the value of omega-squared is 0.25.

What is omega-squared?

       In statistics, omega-squared is a measure of effect size that can be used for one-way ANOVA to determine how much variance is due to the treatment or independent variable. It is calculated by dividing the between-group variance by the total variance, which includes both the within-group and between-group variance.

       Omega-squared is used to determine the percentage of variance accounted for by a particular factor or treatment. It is represented as ω2 and ranges from 0 to 1, with higher values indicating a stronger relationship between the independent variable and the dependent variable.

       The formula for omega-squared is as follows:

                         ω2=SSBetween / SSTotalSSWithin

                              = SSTotal - SS Between

         Where SSTotal is the sum of squares for the total variance.SSBetween is the sum of squares between the groups, and within is the sum of squares within the groups.

     The given information is:

                       Mean of group A = 4Mean of group

                                                 B = 6Mean of group

                                                 C = 8Total cases

                                                    = 15SSWithin

                                                    = 120

             We can calculate the sum of squares between the groups as follows:

                        SSTotal = SSBetween + SSWithinSSTotal

                                      = (nA + nB + nC - 1) × (σA² + σB² + σC²)SSBetween

                                      = SSTotal - SS Within SS Between

                                      = (3 - 1) × (42 + 62 + 82) - 120SSBetween

                                      = 80 Next,

           we can calculate the total variance as:

                      SSTotal = SSWithin + SSBetweenSSTotal

                                    = 120 + 80SSTotal

                                     = 200

            Now, we can calculate omega-squared as follows:

                     ω2 = SSBetween / SSTotalω2

                           = 80/200ω2

                           =0.4

       Hence, the value of omega-squared is 0.25.

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Answer:

A and B are both correct

Step-by-step explanation:

the definitions of the following words are:

factor- a number or quantity that when multiplied with another produces a given number or expression.

multiple- a number that can be divided by another number without a remainder.

6 multiplied with 7 equals 42

42 divided by 7 equals 6

another way of phrasing it:

7 and 6 are factors of 42

and

42 is a multiple of both 7 and 6

hope this helped!

Answer:

42 is a multiple of 7.

6 is a factor of 42

Step-by-step explanation:

Answer:

The answer is $30.00.

Answer: Less than. 4/4 equals 1

Step-by-step explanation:

\(\dfrac{4}{4} =1\) (any number divided by the same number will always equal 1)

\(1 < 123\)

Therefore, 4/4 will be less than 123.

Answer:

55 = x

Hope this helps!

Answer:

Using the property of intersecting secant:-

\((DE)(CE)=(FE)(LE)\)

\((4)(x-1+14)=(5)(x-4+5)\)

\(4(x+3)=(5x+1)\)

\(4x+12=5x+5\)

\(4x+-5x=5-12\)

\(-x=-7\)

\(x=7\)

\(So, CD=x-1=7-1=6\)

\(so,~your ~answer ~is ~B) ~6\)

By intersecting secants theorem, the measure of CD is 6 units.

The theorem states that when two secants intersect at an exterior point, the product of the one whole secant segment and its external segment is equal to the product of the other whole secant segment and its external segment.

For the given situation,

The diagram shows the circle with the two secants intersecting at the exterior point.

By intersecting secants theorem,

\((CE)(DE)=(LE)(FE)\) -------- (1)

Here, CE = CD + DE

⇒ \(CE = (x-1)+4\)

DE = 4

LE = LF + FE

⇒ \(LE = (x-4)+5\)

FE = 5

On substituting the above values in 1,

⇒ \((x-1+4)(4)=(x-4+5)(5)\)

⇒ \((x+3)(4)=(x+1)(5)\)

⇒ \(4x+12=5x+5\)

⇒ \(5x-4x=12-5\)

⇒ \(x=7\)

Thus CD = \(x-1\)

⇒ \(7-1=6\)

Hence we can conclude that by intersecting secants theorem, the measure of CD is 6 units.

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Answer:

C

Step-by-step explanation:

f(x) - g(x)

= - x + 4 - (6x + 3)

= - x + 4 - 6x - 3 ← collect like terms

= - 7x + 1 → C

Answer:

Z (0.10) = 1.282 (the Z-score which has 0.10 to the right, and 0.4000 between 0 and it). As a shorthand notation, the () are usually dropped, and the probability written as a subscript.

Step-by-step explanation:

hope this helped you if it did plz mark brainliest

Answer:

The capacity of the big vase is half times bigger than the capacity of the middle sized vase, which means it is 1 + 1/2 times the capacity of the middle vase.

So, the capacity of the big vase in terms of x is:

1/2x + x = 3/2x

Therefore, the capacity of the big vase in x is 3/2x.

The capacity of the middle sized vase is four times bigger than the capacity of the small vase, which means it is 4 times the capacity of the small vase.

So, the capacity of the small vase in terms of x is:

x/4

Therefore, the capacity of the small vase in x is x/4.

The total capacity of the three vases is 5.5 liters. We can set up an equation based on this information:

x + 3/2x + x/4 = 5.5

Multiplying both sides by 4 to eliminate the fraction:

4x + 6x + x = 22

11x = 22

x = 2

Therefore, the capacity of the middle sized vase is 2 in terms of x. To find the capacity in liters, we can substitute x = 2 into any of the expressions we found earlier:

Capacity of the big vase: 3/2x = 3/2 * 2 = 3 liters

Capacity of the small vase: x/4 = 2/4 = 0.5 liters

So, the capacities of the three vases are 3 liters, 2 liters, and 0.5 liters, and their total capacity is 5.5 liters.

Answer: x = 2

Step-by-Step Solution:

Given:

OH = WO = LW

OH = 2x + 1

WO = 3x - 1

LW = 5

To Find:

The value of 'x'

Solution:

We know, OH = WO = LW

So, equate any two of the values given :-

2x + 1 = 5

2x = 5 - 1

2x = 4

x = 4/2

x = 2

Hence, x = 2.