If a sample mean is 32, which of the following is most likely the range of
possible values that best describes an estimate for the population mean?

The sinusoidal equation will be Y=4.25 sin[(π/26)(t-11)]+12.25

The following can be deduced:

Function Y=Asin(wt-Φ)+β

Amplitude A=(16.5-8)/2=4.25 hours

Vertical shift  β= (16.5+8)/2=12.25

Period is 52 weeks, thus 52=2π/ω→ω=2π/52=π/26

The phase shift Φ can be gotten if we divide the whole year in 4 sub-intervals each interval would be :

[0,13], [13,26],[26,39],[39,52]

The summer solstice occurs at the end of week 24.

The winter solstice occurs at the end of week 51.

The maximum of sine function happens at the end of the first sub-interval [0,13]

Here, Φ is 11, thus, the function would be

Y=4.25 sin[(π/26)(t-11)]+12.25.

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Using a linear function, the correct option regarding the situation is given by:

C) 57 ≤ 1.28x + 38 ≤ 87; To stay within the range, the usage should be between 14.8 and 38.3 HCF.

A linear function is modeled by:

y = mx + b

In which:

The bill is modeled by a linear function, with an intercept of $38 and a slope of $1.28, hence it is given by:

C(x) = 1.28x + 38

The bill should be between $57 and $87 dollars per month, hence:

57 <= C(x) <= 87.

The values of x are:

C(x) >= 57

1.28x + 38 >= 57

x >= 19/1.28

x >= 14.8.

C(x) >= 87

1.28x + 38 >= 87

x >= 49/1.28

x >= 38.3.

Hence option C is correct.

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Answer:

1a. 100, 1b. 22

Step-by-step explanation:

1a. Given information from the question:

[tex] \frac{b}{46} = \frac{50}{23} \\ 23b = (50)(46) \: (cross \: multiply) \\ b = \frac{50 \times 46}{23} \\ = 50 \times 2 \\ = 100[/tex]

1b. Given information from the question:

[tex] \frac{34}{d} = \frac{68}{44} \\ 68d = (34)(44) \: (cross \: multiply)\\ \\ d = \frac{34 \times 44}{68} \\ d = \frac{44}{2} \\ = 22[/tex]

Answer:

• [tex]b = \bf 100[/tex]

• [tex]d = \bf 22[/tex]

Step-by-step explanation:

To solve these questions, we need to rearrange the equations to make the unknown variables the subject of the equations.

1a.

[tex]\frac{b}{46} = \frac{50}{23}[/tex]

⇒ [tex]b = \frac{50 \times 46}{23}[/tex]             [multiplying both sides by 46]

⇒ [tex]b = \bf 100[/tex]

1b.

[tex]\frac{34}{d} = \frac{68}{44}[/tex]

⇒ [tex]34 = \frac{68 \times d}{44}[/tex]               [multiplying both sides by d]

⇒ [tex]34 \times 44 = 68 \times d[/tex]    [multiplying both sides by 44]

⇒ [tex]\frac {34 \times 44}{68} = d[/tex]               [dividing both sides by 68]

⇒ [tex]d = \bf 22[/tex]

Answer:  $200  (choice B)

Explanation:

Notice that 100/4 = 25 which matches with the fact the cost is $25 per hour.

Therefore, 8 hours will yield a total cost of 8*25 = 200 dollars

The cost for Susan to rent a truck for her entire 8-hour work day is $200. Therefore, option B is the correct answer.

Given that, if it costs Susan $25 to rent a truck for 1 hour and $100 to rent a truck for 4 hours.

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.

Cost of rent of truck for 8 hours = 1 hour rent × Number of hours

= 25 × 8

= $200

The cost for Susan to rent a truck for her entire 8-hour work day is $200. Therefore, option B is the correct answer.

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[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]

Radius of smaller circle = 25 in

Radius of larger circle = 25 + 13 = 38 in

Area of ring : Area of larger circle - Area of smaller circle

[tex]\qquad❖ \: \sf \:\pi {(38)}^{2} - \pi {(25)}^{2} [/tex]

[tex]\qquad❖ \: \sf \:\pi( {38}^{2} - 25 {}^{2} )[/tex]

[tex]\qquad❖ \: \sf \:3.14(1444 - 625)[/tex]

[tex]\qquad❖ \: \sf \:3.14(819)[/tex]

[tex]\qquad❖ \: \sf \:2571.66 \: \: in {}^{2} [/tex]

[tex] \qquad \large \sf {Conclusion} : [/tex]

The equations to represent the relationship are ƒx3/5=4 4/5 and 4 4/5 divided 3/5 =f

Fractions are written as a ratio of two integers. For instance a/b is a fraction.

If Anastacio distributed 4 4/5 kg of seed among several bird feeders and put 3/5 kg of seed in each feeder, the expression that represents the number of bird feeders that Anastacio filled is given as;

Number of bird feeder = 4 4/5 ÷ 3/5

f = 4 4/5 ÷ 3/5

Multiply both sides by

f * 3/5 = 4 4/5   ÷ 3/5 * 3/5

f * 3/5 = 4 4/5

Hence the equations to represent the relationship are ƒx3/5=4 4/5 and 4 4/5 divided 3/5 =f

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Answer:

step 3

Step-by-step explanation:

he should have subtracted 9 to the outside.

whatever you do to the inside you must do to the opposite to the outside

so your final form must be -7(x-3)^2 + 8

Answer:

The second answer is correct.

Step-by-step explanation:

It is to be noted that at the seven and half year, is when the revenue of both ads became equal. This is a graph problem. See the explanation below.

Step 1:

Note that the amount of money earned by routine company activities is known as revenue, which is calculated by dividing the average sales price by the number of units sold.

Step 2:

Note that the graph is to be used to justify the statement by the lead executive.

Step 3

From the graph, we know that the revenue in the 10th year for printed ads was $ 2,000,000 and $ 3,000,000 for online ads. Represented on as coordinates, that would be (0,3); (10, 2).

Thus, we can create an equation that states:

(y-2) = [(3-2)/(0-10)] * (x - 10)

⇒ y - 2

= [-1/10] * [x - 10]

Hence,

10y - 20 = - x + 10

10 y + x = 30 ........Lets call this equation A

We can also state that:

Online revenue coordinates on the graph are (0,0,) (10, 3)

Thus,

(y-0) =

[(3-0)/(10-0)] (x -0)

⇒ y = [3x/10]  [10y - 3x] = 0.........Lets make this equation B

For printed Ad Revenue:

Year 12= x

10y + 12 = 30

Y = 18/10

y = 1.8

For online Ad revenue

Year = 12 = x

10y = 36

Y = 36/10

y = 3.6

From the above, it is clear that in year 10, the online ad revenue got doubled as same as that of revenue from printed ads.

In order to get the year in which the revenue were equal, we solve both equations simultaneously:

+ 10y + x = 30

±  10y ≠ 3x = 3

4x = 30

x thus, = 30/4

= 7.5

Thus, it is correct to state that both revenue's became equal by the mid of the 7th year going to the eight year.

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Full Question:

Missing graph is attached.

Vernon Variable ran 43 yards, Reggie Root ran 114 yards, Larry Linear ran 54 yards, and Quentin ran 18 yards.

We are told that the total number of yards the WACO Hawks ran is 229. Thus, we can say that: W = 229

Now, we know that Vernon Variable gained many yards. Thus, the amount of yards will be indicated by "V"

Now, Reggie Root ran for 15 less than three times as many yards as Vernon did. Thus, distance Reggie root ran is represented by;

R = 3V-15

Larry Linear picked up 11 more yards than Vernon’s total. Thus, total yards by Larry Linear is: L = V + 11

Quentin Quadratic ran a total of 18 yards. Thus; Q=18.

Now, all of the player's totals add up make what the total team ran. Thus, the expression is;

V + 3V - 15 + V + 11 + 18 = 229

Simplifying this gives;

5V + 14 = 229

5V + 14 = 229

Subtract 14 from both sides to get;

5V = 215

Divide both sides by 5 to get;

V = 43

Thus, Vernon ran a total of 43 yards.

Total run by Reggie is:

R = 3(43) -15

R = 129 - 15

R = 114 yards.

Total run by Larry:

L = V + 11

L = 43 + 11

L = 54 yards.

Thus, we conclude that Vernon Variable ran 43 yards, Reggie Root ran 114 yards, Larry Linear ran 54 yards, and Quentin ran 18 yards.

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Answer:

Height = 6m

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] × 36 = 12

72 ÷ 12 = 6

Check the picture below.

The required probability of the coin landing tails up at least two times is 15/16.

Given that,
A fair coin is flipped seven times. what is the probability of the coin landing tails up at least two times is to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
In the given question,
let's approach inverse operation,
The probability of all tails  = 1 / 2^7 because there is only one way to flip these coins and get no heads.
The probability of getting 1 head = 7 /2^7
Adding both the probability = 8 / 2^7
Probability of the coin landing tails up at least two times = 1 - 8/2^7
                                                                                     = 1 - 8 / 128
                                                                                     = 120 / 128
                                                                                     = 15 / 16

Thus, the required probability of the coin landing tails up at least two times is 15/16.

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Answer:

120

Step-by-step explanation:

seema 150 marbles

rani 20 more marbles

alok 50 less marble

150+20=170_rani

170-50=120_alok

Explanation:

The area of the circle with radius 10 is...

A = pi*r^2

A = pi*10^2

A = 100pi

The surface area of the sphere with radius 5 is...

SA = 4pi*r^2

SA = 4pi*5^2

SA = 100pi

Both results are the same, so the claim is true. We can think of surface area as the amount of wrapping paper needed to cover the sphere.

To form a system of equation from a word problem, we must recognize different variables to form different equations.

Let a represent the number of child tickets.

Let b represent the number of adult tickets.

We're given:

Because we're given that a and b in total is 163, we can form the following equation:

[tex]a+b=163[/tex]

We're also given that the total sales made is $1221.80. Because we know that 1a = $6.20 and 1b = $9.40, we can also form the following equation:

[tex]6.2a+9.4b=1221.8[/tex]

Here are our two equations:

[tex]a+b=163[/tex]

[tex]6.2a+9.4b=1221.8[/tex]

We can solve using the method of elimination. Multiply both sides by 6.2 in the first equation:

[tex]6.2(a+b)=6.2(163)\\6.2a+6.2b=1010.6[/tex]

Subtract this new equation from the second equation to cancel out a:

[tex]\hspace{10}6.2a+9.4b=1221.8\\- 6.2a+6.2b=1010.6\\\rule{100}{0.5}\\3.2b=211.2[/tex]

Solve for b:

[tex]b=66[/tex]

Therefore, the number of adult tickets sold is 66.

66

The angle that vector makes with the x-axis is closest to [tex]340^\circ[/tex].

What is a vector?

An item with both magnitude and direction is referred to be a vector. A vector can be visualized geometrically as a directed line segment, with an arrow pointing in the direction and a length equal to the magnitude of the vector. The vector points in a direction from its tail to its head.

If the magnitude and direction of two vectors match, they are the same vector. This indicates that if we take a vector and move it to a different point (without rotating it), the vector we finish up with is the same vector we started with.

Given,

[tex]x[/tex]-component of vector = 5.3

[tex]y[/tex]-component of vector = -2.3

angle = [tex]tan^{-1}(\frac{y}{x})[/tex]

angle = [tex]tan^{-1}(\frac{-2.3}{5.3} )[/tex]

angle = [tex]340^\circ[/tex]

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Answer:

Decreasing at an increasing rate

Step-by-step explanation:

graph looks like an arch

right side is going down

right side is going down as x increases

Answer:

$14.15

Step-by-step explanation:

6+4+.75+.4

Answer:

y = -3x + 1

Step-by-step explanation:

First, we can find the slope of the line.

The slope is (change in y)/(change in x).

We can use the points that are marked in orange: (0,1) and (1,-2)

The change in y is 1 to -2, which is -3.

The change in x is 0 to 2, which is 1.

The slope will be -3/1, which is also: -3.

We have y = -3x + b currently.

The b is the y-intercept, meaning (the point that touches the y axis, the vertical line).

The point (0,1) touches the y-intercept, so b will be 1.

We can finish our equation as: y = -3x + 1

Answer: 32 is the answer to the expression you provided.

Step-by-step explanation:

[tex]2^3\times2^2\\2\times2\times2\times2\times2\\4\times4\times2\\16\times2\\\rightarrow32[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{E}\textsf{quation:}[/tex]

[tex]\mathsf{2^3 \times 2^2}[/tex]

[tex]\huge\boxed{S}\textsf{olving:}[/tex]

[tex]\mathsf{2^3 \times 2^2}[/tex]

[tex]\mathsf{= 2\times2\times2 \times2\times2}[/tex]

[tex]\mathsf{= 4\times4\times2}[/tex]

[tex]\mathsf{= 16\times2}[/tex]

[tex]\mathsf{= 32}[/tex]

[tex]\huge\boxed{T}\textsf{herefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{32}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

12×h=p

Step-by-step explanation:

if she works for 12 dollars per hour you multiply the 12 dollars buy the hours she worked to get the p

Answer:

Step-by-step explanation:

Midpoint a point equidistant from the ends of a line or the extremities of a figure.

To find the midpoint of the line segment with endpoint, use the midpoint formula.

Midpoint formula:

[tex]\Rightarrow: \sf{\dfrac{x_2+x_1}{2}, \dfrac{y_2+y_1}{2} }}}[/tex]

y2=(-10)

y1=16

x2=6

x1=(-4)

Rewrite the problem down.

[tex]\sf{\left(\dfrac{6-4}{2},\:\dfrac{-10+16}{2}\right)}[/tex]

Solve.

6-4=2

2/2=1

-10+16=6

6/2=3

= (1,3)

Therefore, the correct answer is B (1,3).

I hope this helps, let me know if you have any questions.

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Answer:

10

Step-by-step explanation:

The graph that matches the polynomial function that has x-Intercepts at -2, ;, and 2 and a relative maximum at x = -1 is: graph A.

We are given that the polynomial function has the following characteristics:

Relative maximum at x = -1, this implies that the peak point of the graph has an x-value that is equal to -1. In order words, the "mountain" is at x = -1.

Graph A has a "mountain" that is at x = -1.

We are given the x-intercepts of the polynomial function as:

-2, 1/2, and 2. This means that the graph intercepts the x-axis at -2, 1/2, and 2.

Graph A in the image attached has x-intercepts of -2, 1/2, and 2.

Therefore, we can conclude that the graph that matches the polynomial function that has x-Intercepts at -2, ;, and 2 and a relative maximum at x = -1 is: graph A.

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Answer:

The answer is 1

Step-by-step explanation:

Formula for finding the slope: [tex]\frac{y2-y1}{x2-x1}[/tex]

Take y2 and y1 from (4,4) (1,1)

Take x2 and x1 from (4,4) (1,1)

[tex]\frac{y2-y1}{x2-x1} = \frac{4-1}{4-1} = \frac{3}{3} = 1[/tex]

This is how the answer is 1

Hope it helps :)

The dipping sauce which has a stronger mustard flavor between burger barn and be sandwich town is burger barn

Burger bun:

Mustard : honey

= 2 : 4

= 2/4

= 1/2

= 0.5

Sandwich:

Mustard : honey

= 2 : 8

= 2/8

= 1/4

= 0.25

Therefore, burger barn has a more stronger mustard flavor of dipping sauce between burger barn and be sandwich town.

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Answer:

Step-by-step explanation:

The two dipping sauce have same taste.

Answer:

17.2 units

Step-by-step explanation:

You would use the Pythagorean Theorem to solve. The height (a) is 4 units. The base (b) is 6 units.

4^2 + 6^2 = sqrt(52)

This would mean that the hypotenuse is 7.211102550927979 units or 7.2 units (the square root of 4^2 + 6^2).

Now you would need to just add all three sides.
6 + 4 + 7.2 = 17.2 units

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