Use the diagram to name the following pairs. Circle if the angle pairs are congruent, supplementary, or neither.

Answer:

2(x+9)(x−9)

Step-by-step explanation:

Answer:

x=31

KPN =62

NPO=28

Step-by-step explanation:

KPO = 90(right angle) =2x + (x-3)

3X=90+3

X= 31

NPO = 31-3

NPO=28

KPN = 2*31

KPN =62

The length of the arc on a circle of mentioned radius intercepted by the central angle is 3π feet.

The formula to calculate the arc angle from radius and central angle is simply by finding their product. The formula for arc length is -

S = r×theta, where r is radius and theta is the central angle

Now we are given angle in degree and we need to convert it in radian. So the formula is -

Central angle = 60 × π/180

Central angle = π/3 radians

Keep the values in formula

S = 9 × π/3

Performing division

S = 3π

Thus, the arc length is 3π.

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Answer:

9.8

Step-by-step explanation:

Answer:

9.9

Step-by-step explanation:

Step-by-step explanation:

Given

Radius (r) = 1.7 cm

Circumference (C)

= 2πr

= 2 * 3.14 * 1.7

= 10.7 cm

Hope it will help :)

If  radius of a circle is 1.7 cm then the  circumference of circle is 10.676 cm

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

The radius of a circle is 1.7 cm

We have to find the circumference of circle

Circumference=2πr

plug in the values in the circumference of circle

=2×3.14×1.7

=10.676 cm

Hence, if  radius of a circle is 1.7 cm then the  circumference of circle is 10.676 cm

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Answer:

131.95888888888888

Step-by-step explanation:

Your Welcome :)

The probability that 2 or fewer in the sample will favor the project is  4.368 × 10⁻⁶ and Also The data seem to indicate that the percent favoring the increase in fees is less than 70%

According to the question,

It is given that according to the student's government

The probability that number of students in favor of increment in fees : p = 0.70

The probability that number of students against the increment : q = 0.30

Sample Size : n = 12

Number of students follows Binomial distribution

(a) We have to find the probability that 2 or fewer in the sample will favor the project

P( x ≤ 2) = P(0) + P(1) + P(2)

As we know ,

P(x) = ⁿCₓpˣq⁽ⁿ⁻ˣ⁾

=> P( x ≤ 2) = ¹²C₀p⁰q¹² + ¹²C₁p¹q¹¹ + ¹²C₂p²q¹⁰

=>  P( x ≤ 2) = 1×(0.30)¹² + 12×(0.70)(0.30)¹¹  + 12×11/2 × (0.70)²(0.30)¹⁰

=> P( x ≤ 2) = (0.30)¹⁰ [ 0.09 + 0.21 + 0.48]

=>  P( x ≤ 2) = 5.9×10⁻⁶[0.78]

=>  P( x ≤ 2) = 4.368 × 10⁻⁶

Which is very close to zero

(b) The data doesn't support the student government claim.

The data seem to indicate that the percent favoring the increase in fees is less than 70%.

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Answer:

The given equation is of the form:

((x - h)^2)/a^2 - ((y - k)^2)/b^2 = 1

Comparing it with the given equation:

((x - 3)^2)/10 - ((y + 5)^2)/9 = 4

We can rewrite the equation in the standard form by dividing both sides by 4, then adding (y+5)^2/9 to both sides:

((x - 3)^2)/40 - ((y + 5)^2)/36 = 1

Now, we can see that the equation is in the standard form of a hyperbola. The center of the hyperbola is (3, -5), the distance between the center and each vertex is sqrt(10) in the x-direction and sqrt(9) in the y-direction, and the hyperbola opens to the left and right.

The radius of the cylinder is equal to 10 feet.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using the following formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given parameters into the formula for the volume of a cylinder, we have the following;

V = πr²h

1,570 = 3.14 × r² × 5

1,570 = 15.7r²

r² = 1,570/15.7

r² = 100

Radius, r = √100

Radius, r = 10 feet.

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If the sample test exists 1079 then the value of the test statistics exists -7.88.

A statistical test's result, or test statistic, is a numerical value. It describes how distant the observed data is from the null hypothesis, which states that there is no link between the variables or distinction between the sample groups.

The test statistic indicates how dissimilar two or more groups are from the population mean as a whole or how different a linear slope is from the slope implied by the null hypothesis. Various statistical tests employ various test statistics.

Given:

Sample size, n = 1079

Probability of success, p = 0 . 86

The hypotheses are:

\(&H_0\) : p = 0.94

\(&H_a\) : p < 0.94

where:

\($\hat{p}\) = proportion of the sample

p = proportion of the population

n = sample size

The values of the variables exists:

\(&\hat{p}\) = 86 % = 0.86

p = 94 % = 0.94

n = 1074

Substitute the values into the formula and solve for the test statistics:

\($z &=\frac{0.86-0.94}{\sqrt{\frac{0.93(1-0.94)}{1079}}} \\\)

simplifying the above equation, we get

\($z=\frac{-0.08}{\sqrt{\frac{0.93(1-0.94)}{1079}}}$\)

z = -11.12457

Therefore, the value of the test statistics is -7.88.

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The third quartile of the data set is 20, and option C  is correct.

A data set is a structured group of data. As we are all aware, data is a grouping of information that has been gathered by observations, measurements, research, or analysis. Facts, figures, names, and even simple descriptions of objects could be included in it. Data can be arranged for our study in the form of graphs, charts, or tables.

Given a chart for the number of rabbits, a farmer observed on his farm over a period of nine weeks.

week         1     2    3     4       5     6     7      8      9

rabbits       2    3     5     7     11    15     18    22    27

the formula of quartiles is

Lower Quartile (Q1) = (N+1) * 1 / 4

Middle Quartile (Q2) = (N+1) * 2 / 4

Upper Quartile (Q3 )= (N+1) * 3 / 4

here N = 9

third quartile(Q3) = (N+1) * 3 / 4

third quartile(Q3) = (9 + 1)3/4

third quartile(Q3) = 7.5 term

third quartile(Q3) is the term between 7th and 8th week

third quartile(Q3) = (7th term + 8th term)/2

7th term = 18

8th term = 22

third quartile(Q3) = (18 + 22)/2

third quartile(Q3) = 20

Hence option C is correct.

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For this significant level of 90%

Hence the correct answer is the Third Option

Answer:

21.98 inches

Step-by-step explanation:

54.4 - 32.42 = 21.98

hope this helps, good luck :)

The solutions of the system of inequalities are:

(0, 3)

(6, 2)

Here we have the graph of a system of inequalities, the solutions are all the points on the area where the two shaded regions intercept (it would be on the purple area).

And we can see that one line is solid, the points on that line are solutions, the other line is dashed, the points on that line are not solutions.

Then the points that are solutions are:

(0, 3)

(6, 2)

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Answer:

the answer is 2600π or in other words 8168.1

Answer:

The answer is 360 pi

Step-by-step explanation:

I don't really have an explanation, I just took the test

The only rule to follow is

Divide dividend by divisor and the mention the quotient and things left after remains in place of remainder

Here is a sample

\(\sf\Large\qquad\quad16\\ \begin{array}{cc} \cline{2 - 2}\sf 20 )&\sf \ 327\\&\sf - 20 \downarrow\\ \cline{2-2}& \sf \ \ \ \ 127\\ &\sf \ - 120 \\ \cline{2-2} & \sf \ \007 \\ \cline{2-2} \end{array}\\\\\\ \sf Divisor \rightarrow 20 \\ \\ \sf Quotient \rightarrow 16\\\\ \sf Remainder \rightarrow 7\)

The probability is 6/70.

Probability is concerning about numerical description  is how likely is an event is occur or how likely it is true.

Sol-
way will be selecting 84 out of eight since representative so 84 which is equal to at 70. And we need that we since we are things. There are two things representing the regions, so the four selected sales representatives are from only two off the regions. So if we select to sales representative from the two regions while we select de o sales representative from the other two regions, so four is it to selected from the four and to select from the two region and to select from two regions on day zero selected from the two regions and they're selected from the two regions. So is equal to four factorial over two factorial, two factorial times two factorial over to Victoria, zero factorial times too times Sorry, that was two factorial over to factory a factory times two factorial zero factorial two factorial which is equal to six for the
Thus,
probability is 6/70 which is equal toe open toe eight 57.

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The greengrocer normally sells 20 carrots for £2.80. The new cost of 1 carrot is £0.098.

Original cost is the price of an item or service before any discounts, taxes, or other adjustments.

This means that the cost of 1 carrot is £2.80/20 = £0.14.

When the cost of the carrots is reduced by 30%, the new cost of 1 carrot is £0.14 × (100%-30%) = £0.098.

Therefore, the cost of 180 carrots in the sale is £0.098 × 180 = £17.64.

The discount of 30% reduces the cost of 1 carrot from £0.14 to £0.098, and this reduces the cost of 180 carrots from £25.2 to £17.64.

This is because a 30% discount means that the cost of the item is reduced by 30% of the original cost.

As the original cost of 1 carrot is £0.14, the new cost of 1 carrot is £0.14 × (100%-30%) = £0.098.

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9514 1404 393

Answer:

  all are rational

Step-by-step explanation:

Any decimal number with a finite number of digits is rational.

__

A decimal number is irrational if and only if it has an infinite number of non-repeating digits in its fractional part.

Answer:

Step-by-step explanation:

From the right triangle attached in the picture,

sine ratio for the angle X,

\(\text{sinX}=\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

       \(=\frac{YZ}{XZ}\)

       \(=\frac{21}{29}\)

cosine ratio for the angle X,

\(\text{cosX}=\frac{\text{Adjacent side}}{\text{Hypotenuse}}\)

        \(=\frac{XY}{XZ}\)

        \(=\frac{20}{29}\)

tang ratio for the angle X,

\(\text{tanX}=\frac{\text{Opposite side}}{\text{Adjacent side}}\)

        \(=\frac{21}{20}\)

Answer:

1. 144 m; 2. 720m²;

Step-by-step explanation:

1.

First we need to know how much edges are of the figure. Since there is 12, we need to multiple the length of an edge to how many of them are:

12 • 12 = 144 m

2.

Since one edge is 12 m, first calculate the plot of a little square (as there are 5 in the pic):

12 • 12 = 144 m² (one square)

Now we know that one square's plot is 144 m².

Since there is 5 of them, we need to multiply the plot 5 times, since there are five mini squares:

144 • 5 = 720 m²

Now we know the plot of the full figure.

Using a system of equations, it is found that Anne gets 5x - 10 pens.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, we consider that John gets x pens.

Lucy gets 2 pens less than john, hence:

L = x - 2.

Anne gets 5 times many pens as lucy, hence:

A = 5L = 5(x - 2) = 5x - 10.

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Answer:

that would be 39 minutes

Step-by-step explanation:

Answer:

The answer is 39 minutes

Step-by-step explanation:

You subtract 9:14 AM from 8:35 AM which equals 39 so the difference is 39 minutes.

What if the median is zero?

A variable that can in principle be only zero or positive can only have mean zero if all values in practice are zero. On the other hand, such a variable can and will have median zero if more than half of the values are zero.

Can you have a median of one number?

Median of one number = the number itself.

Answer: C

Step-by-step explanation:

Answer:

all real numbers

only the range value is with a minimum of -1 and a maximum of 1 unless there's a vertical shift.

The domain of the sine and cosine functions are all real numbers

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the domain of the function be represented as D

Now , the functions are

f ( x ) = sin x

g ( x ) = cos x

where the trigonometric functions have the range as [ -1 , 1 ]

And , sine and cosine of an angle have the same absolute value as the sine and cosine of its reference angle

Therefore , the value of D is all real numbers

Hence , the domain is all real numbers

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Answer: 16.16 but i really am just making this up.

Step-by-step explanation:

if the triangle is worth 180 and two of the sides are equivalent, then the angle in the top right and the angle in the top left are equal.

3x + 11 = 5x + 1

2x = 12

x = 6

                        so the angle on the bottom left a.k.a: y, is 6 so

                                            180-6 = 12x - 20

i think...

A graph of the image of the figure after a reflection across the x-axis is shown below.

In Mathematics and Geometry, a reflection over or across the x-axis is represented by this transformation rule (x, y) → (x, -y).

This ultimately implies that, a reflection over or across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative or negative to positive.

By applying a reflection over or across the x-axis to triangle GLQ, we have;

(x, y)                →      (x, -y)

G (3, 4)             →      (3, -(4)) = G' (3, -4)

L (1, 2)                →     (1, -(2)) = L' (1, -2).

Q (4, -1)              →      (4, -(-1)) = Q' (4, 1)

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The probability of getting at least one card is a club from a deck of cards when a card is 3/4. Thus, option D is correct.

The deck of cards = 52 cards

The number of non-club cards = 13 +13 = 26 cards.

The probability of not choosing a club on the first draw = 26/52

The probability of not choosing a club on the second draw = 26/52

The probability of not choosing will be calculated so that we can estimate the probability of getting at least one card in a club.

The probability of not choosing a club on either draw = (26/52) x (26/52) The probability of not choosing a club on either draw = 676/2704

P(at least one club) = 1 - 676/2704 = 2028/2704 = 0.75

The value of 0.75 can be represented as 3/4 as a fraction value.

Therefore, we can conclude that the probability of getting the card at least one card is 3/4.

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Answer:

260+325 = 585

260 where instructors that were full time and 325 were already full time. this is correct if I am reading your question correctly if not the answer is likely 260

Answer:

8 and 3; 56 and 21; 896 and 336 all have the same ratio i.e. 8:3