Solve the compound inequality.
- 4x + 2
3
-3≤
≤4

The percentage of 12th graders preferring chicken wings is 30%.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

From the given information total number of 12th graders are,

(39 + 24 + 27)

= 90.

The number of 12th graders preferring chicken wings is 27.

Therefore, The percentage  bar for 12th graders shows for preferring chicken wings is,

= (27/90)×100%.

= 30%.

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The correct option, C. The function is positive when x > 0, for the graph of cube root parent function.

The opposite of such cubic function is the cube root function.

Thus, using the domain and range we can see from the graph that, for the positive values of the function, the graph is increasing for positive values.

Therefore,  The function is positive when x > 0.

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The probability of randomly selecting two women from 884 subjects is 1.

The probability of randomly selecting two women from 884 subjects can be calculated using the following formula: P(A and B) = P(A) x P(B). In this case, A is the event of randomly selecting a woman from 884 subjects and B is the event of randomly selecting a second woman from the remaining 883 subjects.

Therefore, P(A) = 884/884 = 1 and P(B) = 883/883 = 1. Thus, P(A and B) = 1 x 1 = 1. Then, the probability of randomly selecting two women from 884 subjects is 1. To round to four decimal places, the probability is 0.0000.

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Answer: [tex]m\angle YOZ, m\angle VOS, m\angle UOZ, m\angle XOS, m\angle TOZ[/tex]

Step-by-step explanation:

[tex]m\angle VOS=90^{\circ}\\\\m\angle UOZ=180^{\circ}-56^{\circ}=124^{\circ}\\\\m\angle YOZ=180^{\circ}-143^{\circ}=37^{\circ}\\\\m\angle XOS=126^{\circ}\\\\m\angle TOZ=180^{\circ}-33^{\circ}=147^{\circ}[/tex]

Answer: 10,000 guests per hour

Answer:

[tex]\frac{171}{20}[/tex] is equal to 8.55

Step-by-step explanation:

[tex]\frac{171}{20}[/tex] in decimal form is 8.55

[tex]\frac{17}{2}[/tex] in decimal form is 8.5

[tex]\frac{55}{8}[/tex] in decimal form is 6.875

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

[tex]\textbf{Let us say:}[/tex]

[tex]\mathsf{8.55 \rightarrow \dfrac{8.55}{1}}[/tex]

[tex]\textbf{This method should make this question easier to solve (in some cases}\\\textbf{of course)}[/tex]

[tex]\mathsf{8.55 \rightarrow \dfrac{8.55}{1}}[/tex]

[tex]\mathsf{= \dfrac{8.55}{1}\times\dfrac{100}{100}}[/tex]

[tex]\mathsf{= \dfrac{8.55\times100}{1\times100}}[/tex]

[tex]\mathsf{= \dfrac{855}{100}}[/tex]

[tex]\mathsf{= \dfrac{855\div5}{100\div5}}[/tex]

[tex]\mathsf{= \dfrac{151}{21}\rightarrow 8 \dfrac{11}{20}}[/tex]

[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{Option\ A. \ \dfrac{171}{20}}}\huge\checkmark[/tex][tex]\textsf{What you have chosen as the answer to this question is correct}\ \heartsuit[/tex]

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

The minimum value for given linear equation 4x+3y will be 24.

What are linear equations?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.

Now,

The minimum value for z=4x+3y will be at (6,0) i.e. 24

because this point follows the given linear inequalities too

as given in the graph provided in image.

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The item would be the rental value of the home owned by the taxpayer. The correct option is D.

A taxpayer is a person or organization that is required to pay taxes. Modern taxpayers may have an identification number, which is a reference number issued by the government to individuals or businesses. The term "taxpayer" generally refers to someone who pays taxes.

A recurring payment made by a tenant to a landlord in exchange for the use of land, a building, an apartment, an office, or other property. a payment made by a lessee to an owner in exchange for the use of machinery, equipment, etc.

A taxpayer who wishes to file as head of household paid more than half the cost of keeping up their home will be the rental value of the home owned by the taxpayer.

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The lower limit that she traveled in three seconds is 33.45 feet and the upper limit that she traveled in three seconds is 43.45 feet

The first three seconds of a race saw a runner's pace rapidly grow.

The time is therefore 3 seconds.

The table provides her speed at half-second intervals.

We are aware,

Distance x Time Speed

Similarly

The distance equals speed x time.

t equals 0.5 seconds

Then, the minimum distance traveled overall is equal to 0.5(0 + 6.7 + 9.2 + 14.1 + 17.5 + 19.4).

Terms are multiplied and added.

= 0.5 × 66.9

= 33.45 feet

The maximum distance travelled is equal to 0.5 (6.7 + 9.2 + 14.1 + 17.5 + 19.4 + 20)

= 0.5 × 86.9

= 43.45 feet

Hence, the lower limit that she traveled in three seconds is 33.45 feet and the upper limit that she traveled in three seconds is 43.45 feet

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The margin of error round to the nearest tenth will be 1.8.

The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.

The margin of error is given as

[tex]\rm ME = z\times \sqrt{\dfrac{\sigma ^2}{n}}[/tex]

The z-value for the 99% confidence will be 2.576. Then the margin of error is calculated as,

ME = 2.576 × √[(6.3)² / 82]

ME = 2.576 × √0.4840

ME = 2.576 × 0.6957

ME = 1.8

The margin of error round to the nearest tenth will be 1.8.

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Answer:

11 pounds

Step-by-step explanation:

16 lbs - 5 lbs = 11 pounds

They may bake 20 additional bags of cookies. The problem is represented by the inequality x < 80.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Given, A bakery wants to bag at most 100 cookies into cookie packs. Each cookie pack has 4 cookies. They have already bagged 20 cookies.

Since each cookie pack can hold 4 cookies

Thus, 100 cookies will require = 100/4 packs

100 cookies will required = 25 packs

Since They have already bagged 20 cookies.

Thus,

The total pack they used = 20/4

The total pack they used = 5

Inequality:

let "x" be the number of cookies they can make

80 > x

Therefore, 20 more bags of cookies they could make. the inequality that represents the situation is x< 80.

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Answer: the ratio is 1/2

Histogram representing point estimator w labelled fourth bar as a population parameter is a true statement.

As given in the question,

The given graph represents the sampling distributions of two different point estimators,

Two point estimators are r and w represents same population parameters.

Two histogram each one with 7 bars:

Left histogram represents point estimator r and right histogram represents point estimator w.

Increase of the heights of the bars in both r and w histogram left to right.

Peak point is at fourth bar.

In point estimator r histogram : Third bar represents population parameter.

In point estimator w histogram : Fourth bar represents population parameter.

Here fourth bar represents the peak point.

Therefore, point estimator w histogram represents the population parameter is a true statement.

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The dependent variable is the factor that is affected by the changes in the independent variable and is measured to observe the effects.

The dependent variable is the factor that is affected by the changes in the independent variable and is measured to observe the effects. This is the variable that is expected to change in response to changes in the independent variable. The dependent variable is the factor that is affected by the changes in the independent variable and it is measured to observe the effects of the changes in the independent variable. For example, in an experiment about plant growth, the dependent variable would be the height of the plant and the independent variable would be the amount of water added to the soil. By changing the amount of water, the height of the plant can be observed and measured to determine the effect of the water on the growth of the plant.

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Answer:

center: [tex](6, -3)[/tex]

distance from center:

connect: [tex](16, -3), (6, -9), (-4, -3), (6, 3)[/tex]

Step-by-step explanation:

An ellipse has two forms, although they're essentially the same:

[tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]

and

[tex]\frac{(x-h)^2}{b^2}+\frac{(y-k)^2}{a^2}=1[/tex]

Where a > b, and if the "a^2" is under the [tex](x-h)^2[/tex] then that means the ellipse has a horizontal major axis, but in general the value below this numerator relates to the length of the horizontal axis. Now if "a^2" is under the [tex](y-k)^2[/tex] then that means the ellipse has a vertical major axis, but in general the value below this numerator relates to the length of the vertical axis.

The length of the major axis is defined as 2a and the minor axis as 2b, but the distance from the center to the end points will be half of this, so either "a" or "b" depending on which axis the end point is on.

The other thing to note is that (h, k) is the center of the ellipse.

We're given the equation: [tex]\frac{(x-6)^2}{36}+\frac{(y+3)^2}{100}=1[/tex], in this case the bigger value is under the (y+3)^2, so we know that we will have a horizontal major axis. Since the denominator's represent the square of "a" and "b" we first have to take the square root of them. So the following is true:

[tex]a=\sqrt{100}=10\\b=\sqrt{36}=6[/tex]

The "a" gives us the distance from the center to the end point on the major axis while the "b" gives us the distance from the center to the end point on the minor axis, so the distance from the center to the end point on the minor axis is 6 and for the major axis it's 10.

We also know the center is at (6, -3) by looking at the signs and what is being added/subtracted from the x and y values in the equation. We can use this to calculate the end points since the end points on the horizontal major axis can be calculated as: [tex](6\pm10, -3)[/tex] and the end points on the vertical major axis can be calculated as: [tex](6, -3\pm 6)[/tex], which gives us four points: [tex](16, -3), (6, -9), (-4, -3), (6, 3)[/tex] which we can connect to draw a graph.

Answer:

[tex]\textsf{The center of the ellipse is $\boxed{(6,-3)}$}\;.[/tex]

[tex]\textsf{The endpoints of the major axis are $\boxed{10}$ units from the center}\;.[/tex]

[tex]\textsf{The endpoints of the minor axis are $\boxed{6}$ units from the center}\;.[/tex]

[tex]\textsf{To graph the ellipse, connect $\boxed{(12,-3),(6,-13),(0,-3), \;\textsf{and}\; (6,7)}$ with a smooth curve}\;.[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{7.2 cm}\underline{General equation of an ellipse}\\\\$\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1$\\\\where:\\\phantom{ww}$\bullet$ $(h,k)$ is the center\\ \phantom{ww}$\bullet$ $a$ and $b$ are the radii.\\ \phantom{ww}$\bullet$ $(h\pm a,k)$ and $(h,k\pm b)$ are the vertices.\\ \end{minipage}}[/tex]

Given equation:

[tex]\dfrac{(x-6)^2}{36}+\dfrac{(y+3)^2}{100}=1[/tex]

As b > a, the given ellipse is vertical.

The major axis is the longest diameter and the minor axis is the shortest diameter, therefore:

Determine the values of h and k:

[tex](x-h)=(x-6) \implies h=6[/tex]

[tex](y-k)=(y+3) \implies k=-3[/tex]

Therefore, the center of the ellipse is:

Calculate the values of a and b:

[tex]a^2=36 \implies a=6[/tex]

[tex]b^2=100 \implies b=10[/tex]

As the major axis is 2b, then the major radius is b.

Therefore, the endpoints of the major axis are "b" units from the center, so they are 10 units from the center.

As the minor axis is 2a, then the minor radius is a.

Therefore, the endpoints of the minor axis are "a" units from the center, so they are 6 units from the center.

To graph the ellipse, connect the vertices and co-vertices with a smooth curve.

Answer:

Step-by-step explanation:

Since there are 360 degrees in a circle the area of the shaded region = 80/360 * area of the circle.

This = 80/360 * 81 π

= 2/9 * 81 π

= 18 π

Answer:

Area = 18π  cm²

Step-by-step explanation:

The shaded region is a sector of a circle with radius 9 cm.

[tex]\boxed{\begin{minipage}{6.4 cm}\underline{Area of a sector}\\\\$A=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $\theta$ is the angle measured in degrees.\\\end{minipage}}[/tex]

From inspection of the give diagram:

Substitute the values into the formula for area of a sector:

[tex]\implies A=\left(\dfrac{80^{\circ}}{360^{\circ}}\right) \pi \cdot 9^2[/tex]

[tex]\implies A=\dfrac{2}{9} \pi \cdot 81[/tex]

[tex]\implies A=\dfrac{162}{9} \pi[/tex]

[tex]\implies A=18 \pi\;\; \f cm^2[/tex]

Therefore, the area of the shaded region is 18π cm².

An ordered array is an arrangement of numbers in a specific order, usually in increasing or decreasing order. 43, 73, 107, 158, 226, 305, 312

To rewrite the numbers in an ordered array: you need to arrange the numbers in either ascending or descending order. For example, the ordered array of the numbers in ascending order: 43 73 107 158 226 305 312

Note that it's important to read the instruction carefully when you have to order the numbers without using the factorial key on your calculator.

The factorial key on a calculator is typically represented by the symbol "!", and it is used to calculate the factorial of a number. The factorial of a number is the product of all the positive integers less than or equal to that number.

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Answer:

To solve for g in the equation m + n^2 = g5M, we first need to isolate g on one side of the equation. We can do this by subtracting m and n^2 from both sides:

m + n^2 = g5M

m + n^2 - m - n^2 = g5M - m - n^2

0 = g5M - m - n^2

Now we can divide both sides by 5M:

0 = (g5M - m - n^2) / 5M

And we get the equation for g:

g = (m + n^2) / 5M

if i helped you, can you mark my answer as best?

The value of x is 6, which can be calculated using triangle proportionality theorem.

From the figure, we have both triangles' corresponding sides proportionate to one another.

so, PR/ PR' = RQ/ RQ'

so, x/10 = 9/15

x = 6

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No, you do not have to ratio test to find the radius of convergence if geometric test does into work,

when representing a function as a power series, it is not necessary to ratio test to find the radius of convergence if geometric test does into work. A geometric test does not always converge to the right value if it is used to find the radius of convergence of a function at a given point.

The radius of convergence is the distance between two points within a specified radius. If the geometry test fails, the convergence radius may not be found. To find the radius of convergence, use another test like a Venn diagram to see if there is a compatibility pattern.

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The best way for the materials engineer to carry out the randomization for this study is by using a table of random digits to divide the 40 roadways into 20 pairs and then, for each pair, flipping a coin to decide which pavement to use on which member of the pair.

This can be represented by the formula P(A|B) = P(A) * P(B|A), where P(A|B) is the probability of pavement type A being used on a given roadway, P(A) is the probability of pavement type A being used on any given roadway, and P(B|A) is the probability of a given roadway being used for pavement type A.

The probability of pavement type A being chosen for any given roadway is 1/2 (since there are two pavement types). The probability of a given roadway being used for pavement type A is also 1/2 (since there are two members of each pair). This means that the probability of pavement type A being chosen for a given roadway is equal to P(A|B) = 1/2 * 1/2 = 1/4.

By randomly assigning pavement types to each pair of roadways, the materials engineer is ensuring that her experiment is as fair and unbiased as possible. This will allow her to accurately compare the durability of the two different types of paving material.

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Answer:

8142

Step-by-step explanation:

Answer: 354x23=8142

because if you brake 300+50+4 and multiply 300x23, 50x23, and 4x23, then you get 8142

Answer: y is equal to 5

Solve for y :

x=0

y=2(0)+5

y=0+5

y=5

Hope this helped =)

-YinAhara

The slope of the line passing through the point (-6, 0) and (0, 3) is 0.5

An equation is an expression showing the relationship between numbers and variables.

The slope intercept form of a straight line is:

y = mx + b

Where m is the slope and b is the y intercept.

The standard form of a straight line is:

Ax + By = C

Where A, B and C are constants

The line shown in the graph passes through the point (-6, 0) and (0, 3). Hence:

Slope = (3 - 0)/(0 - (-6)) = 3/6 = 0.5

The slope is 0.5

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Answer:

m = -1

Step-by-step explanation:

Slope = rise/run = [tex]\frac{-5-1}{7-1} = \frac{-6}{6} = -1[/tex]

Using the expression 5t + 16, the height of the tree after 7 years it was planted is: 51 inches.

To evaluate implies that we find the value of the expression by plugging in the value of the variable and simplify accordingly.

Given that t represents the number of years after a tree is planted, and the expression, 5t + 16 represents the approximate height of the tree, to find its height after 7 years, substitute t for 7 into the expression and evaluate:

5(7) + 16

35 + 16

= 51

Thus, the height of the tree after 7 years it was planted is: 51 inches.

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The inequality that shows the amount Malek needs to reduce his monthly debt payments by to have a debt-to-income ratio of 35% is x ≤ $984.50.

Debt to income ratio is usually calculated as a percentage of the gross monthly debt payments divided by the gross monthly income.

Given that Malek has a biweekly gross income of $3115.00.

Monthly gross income of Malek = 2 × $3115.00 = $6230

Monthly debt payments is minimum of $3165.00

We need the debt to income ratio as 35%.

Let x be the monthly debt payment to get the ratio 35%.

x / 6230 = 0.35

x = 2180.5

$3165.00 - $2180.5 = 984.5

So the inequality is x ≤ $984.50

Hence the inequality showing the amount to be reduced to get the debt top income ratio as 35 % is x ≤ $984.50.

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the correlation coefficient of X and Y is Cov ( X, Y ) = 1/2

X = Number of heads in the first 20 flips

Y = Number of heads in the last 20 flips

Given that X and Y are binomial variables hence

P( probability ) = 1/2

Find Cov( X; Y )

xi = result of the ith flip ∴ X = x1 + x2 + x3 + x4+....x20

yj = result of the  jth flip ∴ Y = y3 + y4 + y5 + y6+ ....x20

covariance of  xi and yi = 1/2 * 1/2 = 1/4   when i = j  and it is = 0 when i ≠ j

hence Cov( X; Y ) can be expressed as

Cov( X; Y ) = ∑^4 ∑^6 ∴ Cov( Xi , Yj ) = 2/4 = 1/2  (  given that i = j )  

Hence he correlation coefficient of X and Y is Cov ( X, Y ) = 1/2

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The landing space per step for the indoor staircase is solved to be

The vertical rise from first floor to second floor is 14 feet

The figure defined to be a right triangle and the dimensions are worked using SOH CAH TOA

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

The right angle triangle comprises of

opposite = total vertical height

adjacent = total horizontal height = 13 feet

The total vertical height is calculated using tan, TOA

let the angle be x

tan x = opposite / adjacent

tan 47 = opposite / 13

opposite = (13 * tan 47) feet

opposite = 12 * (13 * tan 47) inch

opposite = 167.2895 inch

For a 14 inch vertical rise per step say number of step is y

14 y = total vertical height

14 y = 167.2895

y = 11.9493 steps ≈ 12 steps

The landing space for 12 steps is solved by

= horizontal space total in inch / number of steps

= 13 * 12 / 12

= 13 inches

vertical rise from the 1st floor to the 2nd floor

opposite = (13 * tan 47) feet

opposite = 13.94 feet

opposite = 14 feet (to the nearest foot)

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