Listed below are the numbers of doctor's office visits made by 8 families during the past year.
14, 15, 2, 12, 6, 2, 4, 3
Send data to calculator
(a) What is the median of this data set? If your answer is not
an integer, round your answer to one decimal place.
(b) What is the mean of this data set? If your answer is not an
integer, round your answer to one decimal place.
(c) How many modes does the data set have, and what are
their values? Indicate the number of modes by clicking in the
appropriate circle, and then indicate the value(s) of the
mode(s), if applicable.
0
0
zero modes
O one mode:
O two modes: and

Answer:

A. 0

Step-by-step explanation:

[tex]2 \frac{3}{4} + ( - 2 \frac{3}{4}) \\ = \frac{11}{4} - \frac{11}{4} \\ = \frac{11 - 11}{4} \\ = \frac{0}{4} = 0 \\ hope \: this \: would \: help[/tex]

Answer:

A. 0

Explanation:

Given:

[tex]2\dfrac{3}{4} +(-2\dfrac{3}{4} )[/tex]

In improper fractions:

[tex]\dfrac{11}{4} +(\dfrac{-11}{4} )[/tex]

Simplify:

[tex]\dfrac{11}{4} -\dfrac{11}{4}[/tex]

Evaluate:

[tex]0[/tex]

Tip:

As the integers are alike, when subtracted they simplify to zero as a result.

Answer:

Hello,

Step-by-step explanation:

Only one solution: x=-2, y=3,z=-5

Answer:

consistent, independent; one

Step-by-step explanation:

The solution is (−2, 3, −5). Because the system has one solution, it is consistent and independent.

Given is the quadratic function by its graph..

At the start point, when time is zero, the height is not zero because the cannon was shot above the ground level.

The domain is the time from the point the cannon was shot and to the point the ball lands.

The range is the height from zero to the maximum height the ball reaches.

Answer: x=24

Step-by-step explanation:

-1/3x+1= -7

you move the negative one to the other side of the equation to get x by itself and get -1/3x= -8

then you divide both sides by -1/3 and get 24

The independent variable in these equations based on how they are written is x, since y is a function of x here so y depends on the value of x, while x can be changed freely.

So, for each of these questions, plug in the given value of the independent variable for x.

Independent variable equal to 10: 0.1*10 + 5 = 6

Independent variable equal to 50: 0.1*50 + 5 = 10

Independent variable equal to 120: 0.1*120 + 5 = 17

Answer:

Jojo is on a low carb diet

The table shows a proportional relationship between x and y.

In this question, we have been given a table which contains values of x and y.

We need to decide whether the table shows a proportional relationship between x and y.

x             y

17         2 5/6

5/6       5/36

6            1/6

19          3 1/6

First we convert the improper fraction in the y-column to proper fraction.

2 5/6 = 17/6

and 3 1/6 = 19/6

so, given table would be,

x             y

17          17/6

5/6       5/36

6            1/6

19          19/6

Consider the ratio x/y of each row:

x             y                x/y

17          17/6            1/6

5/6       5/36            1/6

6            1/6              1/6

19          19/6             1/6

As the ratio x/y is constant, x and y are directly proportional.

Therefore, the table shows a proportional relationship between x and y.

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Answer:

160 mm.

Step-by-step explanation:

the average pen is 149mm. the average pen is 14.9cm. 160mm is closest.

It would have to be the 160mm.

This is because store-bought pens average 130 and 140mm/ 13 – 14 cm. This is closely followed by pens in the 140 – 150mm range.

Hope this helps!

Have a great day and God bless! :)

Answer:

1672.50 = 37.75x + 1068.50

x = 16

There were 16 players brought to the tournament.

Step-by-step explanation:

y = mx + b

y= the total cost

m = cost of each meal

x = the number of players

b = cost of the bus

Plug in what you know and solve for x

1672.50 =  37.75x + 1068.50  Subtract 1068.50 from both sides.

604 = 37.75x  Divide both sides by 37.75

16 = x

Equation: 1068.50 + 37.75x =1,672.50

Answer: X= 16

If 1,672.50 is our total it will go behind the equal sign. 37.75x and 1068.50 must be added together to help us receive our total.

Our written equation should look like this

1068.50 + 37.75x =1,672.50

X is the number of players on the team.To find out we must first subtract the amount of money spent on the bus, from the total amount spent.

1,672.50-1068.50 is 604. This means our equation now looks like this

37.75x=604. The next and final step is to divide 37.75 into 604.

604/ 37.75 is 16. Which means that there are 16 players on the team.

I hope this helps & Good luck.

Answer:

0.36

Step-by-step explanation:

The average rate of change of the given function is 12.

The average rate of change of function f on interval [a,b] is:

f(b) -f(a)/b-a

we have interval [x₁,x₂]

[x₁,x₂] = [3,5]

f(3) = x²₊4x

f(3) = 3²+4(3)

f(3) = 21

f(5) = x²₊4x

f(5) = 5²+4(5)

f(5) = 45

f(x₂) -f(x₁)/x₂-x₁

⇒ 45-21/5-3

= 24/2

= 12

The average rate of change of function f(x) = x²+4x on interval [3,5]

is 12.

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Answer:

the answer is x=3

Step-by-step explanation:

Answer:

Please mark my answer as the brainliest, it would mean a lot to me

x = 5

Step-by-step explanation:

4x + 3 = 18 - x

3x + 3 = 18

3x = 15

x = 5

Answer:

-8

Step-by-step explanation:

2x/7 =

2(12)/-3 =

24/-3 =

-8

Answer:

-8

Explanation:

Given expression:

[tex]\rightarrow \sf \dfrac{2x}{y}[/tex]

when  x = 12, y = -3

Substitute values inside expression:

[tex]\rightarrow \sf \dfrac{2(12)}{-3}[/tex]

multiply

[tex]\rightarrow \sf \dfrac{24}{-3}[/tex]

simplify

[tex]\rightarrow \sf -8[/tex]

The value of cscθ is 1/y

In this question, we have been given that the terminal side of angle θ intersects the unit circle in the first quadrant at (7/17, y).

We know that the point on the unit circle is of the form (cosθ, sinθ)

Comparing (cosθ, sinθ) with point (7/17, y) we get,

cosθ = 7/17, and sinθ = y

also, we know that cscθ = 1/sinθ

So, cscθ = 1/y

Therefore, the value of cscθ is 1/y

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Reason:

7 units to the left means x becomes x-7

2 units up means y becomes y+2

Therefore, the old preimage (x,y) translates or shifts to the new image (x-7, y+2)

Example:

[tex](\text{x},\text{y}) = (3,5)\\\\(\text{x},\text{y})\to(\text{x}-7,\text{y}+2)\\\\(3,5)\to(3-7,5+2)\\\\(3,5)\to(-4,7)\\\\[/tex]

The preimage (3,5) moves to (-4,7) after shifting 7 units left and 2 units up.

12) Z ∪ N = {Set of Integers}

13)  H ∪ Q = R which is a set of real numbers

We are told that;

R = U represents the set of real numbers

N is the set of natural numbers

W is the set of whole numbers

Z is the set of integers

Q is the set of rational numbers

H is the set of irrational numbers

12) We want to find Z ∪ N. This is a set union of the set of integers and the set of natural numbers.

A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero. Thus, an integer is also a rational number and all natural numbers are positive integers and as such;

Z ∪ N = {Set of Integers}

13) We want to find H ∪ Q. This is a set union of the irrational numbers and the set of rational numbers. Now, we know that all real numbers are classified as either rational or irrational numbers

Thus; H ∪ Q = R which is a set of real numbers

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Applying the knowledge of fractions, the number of t-shirts that can be made is: 30 t-shirts.

In the problem given, we have the following information:

Material needed for one t-shirt = 1 3/8 yards

We want to find how many 1 3/4 we would find in 41 1/4.

Applying the knowledge of fraction, we are to divide 41 1/4 by 1 3/8. Convert both mixed fractions to improper fractions then divide:

41 1/4 ÷ 1 3/8

165/4 ÷ 11/8

165/4 × 8/11

165/4 × 8/11

15/1 × 2/1

= (15 × 2)/(1 × 1)

= 30/1

= 30.

Therefore, applying the knowledge of fractions, the number of t-shirts that can be made is: 30 t-shirts.

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The measurements are precise. Therefore, the correct option is D.

It should be noted that precision simply means how close a test is when it's repeated.

On the other hand, it should be noted that accuracy simply means how close the results are to the standard value.

Therefore, when the student does an experiment in a lab on the boiling point of water. In the 3 trials, the student gets the temperatures of 99.2, 99.5, 100.2 degrees, they're precise.

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Answer:

the number is -15

Step-by-step explanation:

if you turn the word problem into an equation it would be

4x+19=-86-3x

with x being the unknown number

the next step is to move the -3x to the other side by adding it to the 4x

your equation should now be 7x+19=-86

next you should move the 19 to the other side by subtracting it from the -86

this leaves you with the equation

7x= -105

lastly you must divide the -105 by seven which leaves you with the answer x= -15

Answer:

x + 3/7=2x-25/7 ​

X=4

The expression f(x) = 3 · x² - 2 · x + 4 evaluated at x = a + h is equal to the expression f(x) = 3 · a² + 6 · a · h + 3 · h² - 2 · a - 2 · h + 4.

In this question we find a quadratic equation, which has to be evaluated at x = a + h and simplified afterwards. Then, the complete procedure is shown below:

f(x) = 3 · (a + h)² - 2 · (a + h) + 4

f(x) = 3 · (a² + 2 · a · h + h²) - 2 · a - 2 · h + 4

f(x) = 3 · a² + 6 · a · h + 3 · h² - 2 · a - 2 · h + 4

The expression f(x) = 3 · x² - 2 · x + 4 evaluated at x = a + h is equal to the expression f(x) = 3 · a² + 6 · a · h + 3 · h² - 2 · a - 2 · h + 4.

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The value of the expression |−3d − 6| + |−5 − d²| when d = -3 is 17.

Given expression: |-3d - 6| + |-5 - d²|, and d = -3

Substitute the value of d: |-3(-3) - 6| + |-5 - (-3)²|

Calculate the values inside the absolute value signs:

|-(-9) - 6| + |-5 - 9|

Simplify the inside calculations:

|9 - 6| + |-5 - 9|

Continue simplifying:

|3| + |-14|

Calculate the absolute values:

3 + 14

Add the values together:

3 + 14 = 17

So, the value of the expression |−3d − 6| + |−5 − d²| when d = -3 is 17.

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120 + 4w is the expression to show the total number of songs on Iris's playlist after w weeks.

She total ahs 120 songs already

She downloads or adds 4 songs every week

An expression to show the total number of songs on Iris's playlist after w weeks is:

120 + 4w

An expression or mathematical expression is a limited combination of symbols that is well-formed according to context-dependent norms. To help identify the sequence of operations and other features of logical syntax, mathematical symbols can denote numbers (constants), variables, operations, functions, brackets, punctuation, and grouping.

Many authors differentiate between an expression and a formula, with the former referring to a mathematical item and the latter referring to a statement about mathematical objects.

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Answer:

1, 2, 3, 6, 13, 26, 39, and 78

Step-by-step explanation:

:)

Answer:

[tex](f+g)(x)=8x^{2} +4x-4[/tex]

Step-by-step explanation:

[tex](f+g)(x)=3x^{2} +5x^{2} -2x+6x+4-8=8x^{2} +4x-4[/tex]

Hope this helps

Expanding out the equation, we get

[tex]x^2 - ax - bx+ab+x^2 -bx-cx+bc+x^2 -ax-cx+ac=0 \\ \\ 3x^2 -x(2a+2b+2c)+(ab+bc+ac)=0[/tex]

Considering the discriminant,

[tex](2a+2b+2c)^2 - 4(3)(ab+bc+ac) \\ \\ =4a^2 + 4b^2 + 4c^2 + 8(ab+bc+ac)-12(ab+bc+ac) \\ \\ =4(a^2 + b^2 + c^2 - ab - bc - ac) \\ \\ =2((a-b)^2 + (b-c)^2 + (c-a)^2)[/tex]

This is always non-negative, meaning the roots are real.

The roots are equal if and only if the discriminant is 0, which is when a=b=c.

2(14m-8)=180

24m-16=180

24m=196

m= 8 and 1/6

Answer:

[tex]\textsf{a)} \quad f(t) = 4+0.2t \:\: \textsf{ and }\:\:A(t)=2(1.03)^t[/tex]

b)  77 years

c)  86 years

d)  110 years

Step-by-step explanation:

Given:

As the food supply grows at a constant rate of being adequate for an additional 0.2 million people per year, it can be expressed as a linear function:

[tex]f(t) = 4+0.2t[/tex]

where:

Given:

As the annual attendance increases by 3% per year, it can be expressed as an exponential function:

[tex]A(t)=2(1.03)^t[/tex]

where:

Graph the two functions (see attached) and locate the value of t for which A(t) > f(t) for the first time.

From inspection of the graph, the two functions intersect at t ≈ 77.  So after approximately 77 years the food supply will not be enough for the number of people attending the amusement park.  Therefore, after approximately 77 years, the park will first experience shortages of food.

If the park doubles its initial food supply and maintains the rate of increase of 0.2 million people per year, the new equation would be:

[tex]f(t) = 8+0.2t[/tex]

Again, graph the new function against A(t) and find the point where the two functions intersect.  A(t) = f(t) at approximately t = 86 so the park will first experience food shortages after 86 years.  So doubling the initial food supply delays the eventual food shortage by only c. 9 years.

If the park doubled the rate at which its food supply increases in addition to doubling its initial food supply, the new equation would be:

[tex]f(t) = 8+0.4t[/tex]

Again, graph the new function against A(t) and find the point where the two functions intersect.  A(t) = f(t) at approximately t = 110 so the park will first experience food shortages after 110 years.  So doubling the initial food supply and doubling the rate delays the eventual food shortage by only c. 33 years compared to the initial parameters.  Shortages would still occur, but it would be later in approximately 110 years' time.

The solution is (x, y, z) = (-1, 0, -2)

Given equations are:

2x−y+2z=−6 ---------------(1)

−3y+z=−2 ------------------(2)

2x−3z=4 -------------------(3)

From (2), z = -2+3y

Substitute this into (1) and (3)

(1)⇒ 2x-y+2(-2+3y) = -6

⇒ 2x+5y-4=-6

⇒2x+5y = -2

and

(3) ⇒ 2x-3(-2+3y)=4

⇒ 2x-9y+6 = 4

⇒ 2x-9y=-2

Now solve 2x+5y = -2 and 2x-9y=-2

Subtracting the equations above,

14y = 0

⇒y=0

Then from 2x-9y=-2, x = -1

From (2),z = -2+3y

⇒ z = -2

So the solution is (x, y, z) = (-1, 0, -2)

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According to the solving the total and the difference of the numbers:

total = 136 + 64

difference  = 64

Mathematical difference is the outcome of one of the key operations, which is the subtraction of two numbers. It reveals the margin of difference between two numbers.

Subtract the largest number from the lowest number to determine the difference between two integers. The difference between these two numbers is the product of this sum. As a result, there are 55 between the numbers 45 and 100.

Let the numbers be x and y

Given,

x+y = 200_____(1)

x-y = 72_____(2)

Add above 2 eq.

2x= 272

x= 136

Substitute the value of x in eq 1,we get

136+y = 200

y = 64

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