Order the following integers from least to greatest: -32, -43, -28, -22 and 13

The value of angle RTS is determined as 75⁰.

The value of angle RTS depends on the value of the arc angle SR.

The value of arc angle SR is calculated by finding the value of x, and we will have the following equation.

38x - 2 + 18x - 2 + 34x + 4 = 360 (sum of angles in a circle)

90x = 360

x = 360/90

x = 4

The value of arc angle SR = 38x - 2

= 38(4) - 2

= 150⁰

The value of angle RTS is equal to half of arc angle SR (based on intersecting chord theorem)

∠RTS = ¹/₂ x 150⁰

∠RTS =  75⁰

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Step-by-step explanation:

1 more time solve and answer is ready

a. The probability that the selected student will be female According to the given problem, the total number of associate degrees awarded by US community colleges was 788,325 and 488,142 of these degrees were awarded to women.

Hence, the probability that a selected student will be female is:  P(Female) = Number of females awarded associate degree / Total number of associate degrees awarded= 488,142 / 788,325 `= 0.619 (rounded to three decimal places) Thus, the probability that a selected student will be female is 0.619.b. The probability that the selected student will be male Since the total number of associate degrees awarded is 788,325, we can find the probability that a selected student will be male by subtracting the probability that a selected student will be female from 1 (because there are only two genders).Therefore, `P(Male) = 1 - P(Female) = 1 - 0.619 = 0.381 (rounded to three decimal places)`The main answer to part (a) is 0.619 while the main answer to part (b) is 0.381.The problem gives the total number of associate degrees awarded by US community colleges in a certain academic year. A total of 488,142 of these degrees were awarded to women. Using this information, we can find the probability that a selected student will be female (part a) and the probability that a selected student will be male (part b).

The probability that a selected student will be female is 0.619 while the probability that a selected student will be male is 0.381.

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Answer:

-------------------

Given three interior angle measures of a triangle:

Use the triangle sum theorem to find the missing angle:

So the missing angle is 67°.

Answer:

108π

Step-by-step explanation:

The formula for the volume of a cone is:

V = (1/3)πr^2h

where r is the radius of the base and h is the height.

Plugging in the given values, we get:

V = (1/3)π(6^2)(9)

V = (1/3)π(36)(9)

V = (1/3)π(324)

V = 108π

Therefore, the exact volume of the cone is 108π cubic meters.

These standardization methods are crucial in chromatography to ensure accurate quantification and comparability of results.

In chromatography, standardization methods are used to ensure accurate and reliable results by establishing reference points or calibration standards. Here are three common methods of standardization in chromatography: External Standardization: In this method, a set of known standard samples with known concentrations or properties is prepared separately from the sample being analyzed. These standards are then analyzed using the same chromatographic conditions as the sample. By comparing the response of the sample to that of the standards, the concentration or properties of the sample can be determined. Internal Standardization: This method involves the addition of a known compound (internal standard) to both the standard solutions and the sample. The internal standard should ideally have similar properties to the analyte of interest but be different enough to be easily distinguished. The response of the internal standard is used as a reference to correct for variations in sample preparation, injection volume, and instrumental response. Internal standardization helps improve the accuracy and precision of the analysis. Standard Addition: This method is useful when the matrix of the sample interferes with the analysis or when the analyte concentration is unknown. It involves adding known amounts of the analyte of interest to different aliquots of the sample. The response of the analyte is then measured, and the concentration is determined by comparing the response with that of the standards. The difference in response between the sample and the standards allows for the determination of the analyte concentration in the original sample.

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Answer:

False

Step-by-step explanation:

Answer:

B 1,60

Step-by-step explanation:

Answer:

B 1,60

Step-by-step explanation:

did the test

In Excel, the "frequency" function calculates the count of values that are greater than the previous bin and equal to or less than the bin number to the left of the frequency.

This means that it includes the values that fall within the current bin range. The "frequency" function is commonly used in data analysis to create a frequency distribution. The function takes two arguments: the data range and the bin range.

The data range specifies the values you want to analyze, while the bin range specifies the intervals or categories for the frequency distribution. By using the "frequency" function, you can easily determine the number of values that fall within each bin of your distribution.

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Answer:

C. a<14

Step-by-step explanation:

she is charging less than the average

Answer: A. There are many tangent lines that contain point A.

Step-by-step explanation:

Given, Point A is on circle O.

That means, Statement A. "There are many tangent lines that contain point A" is wrong.

Answer:

11 boxes of candles

Step-by-step explanation:

first, set it up as an equation. let x stand for the amount of boxes she needs.

100=8x+15

next, subtract 15 from both sides of the equation.

100-15=8x+15-15

85=8x

then, you need to get x by itself. to do this, divide 8 from both sides of the equation.

85/8=8x/8

x=10.62, but you can't buy half a box, so you have to round up.

so, she needs to buy 11 boxes of candles.

The employer of Bill’s FICA  should withhold D. $24.92 in taxes

Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.

To solve this exercise, the percentage formula and the procedure to be applied is as follows:

n= (% * nt) / 100

Where:

Information about the problem:

Using the percentage formulate, we get how much FICA tax should his employer withhold:

n= (% * nt) / 100

n = (7.65 * $325.78)/100

n = $2492.22/100

n = $24.92

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Answer:

14 backpacks

Step-by-step explanation:

people: 4 x 2 = 8

backpacks: 7 x 2 = 14

a. Based on the population data, the researchers found that there was a difference in how many hours per week adult learners and traditional students planned to devote to STAT 200. This suggests that the initial conclusion drawn from the randomization test (null hypothesis not rejected) may have been incorrect.

b. In this case, a Type II error was likely committed. A Type II error occurs when the null hypothesis is not rejected, even though it is false (i.e., there is a difference in the population means). Since the null hypothesis was not rejected initially based on the randomization test, but the population data revealed a difference, it indicates that the researchers failed to detect the true difference in means, leading to a Type II error.

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Answer: 3 3/5

Explanation:

18÷4=3.6

3.6= 18/4

18/4 as a mixed number is 3 3/5

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

First, we can simplify the left side of the equation:

(w+7)^2 - 45 = 0

(w+7)^2 = 45

w+7 = ±√45

w = -7 ± √45

Rounding to the nearest hundredth, we get:

w = -7 + 6.71 ≈ -0.29 or w = -7 - 6.71 ≈ -13.71

Therefore, the solutions are approximately w = -0.29 or w = -13.71

Answer:

69,70,80 90,100,110,120,130

Equation of a Line

The slope-intercept form of a line is:

y = mx + b

Where m is the slope.

We are given the equation of a line:

24x - 2y = 38

Subtracting 24x:

-2y = -24x + 38

Dividing by -2:

y = (-24/-2)x + 38/(-2)

Operating:

y = 12x - 19

We can see that b = 12, thus the slope of the graph is 12

Answer:

D. 12

Question:

What is the perimeter of the path, in miles?

Answer:

35 miles

Step-by-step explanation:

Given

Let the corners be ABCD

\(A = (-2,2)\)

\(B = (1,2)\)

\(C = (1,-2)\)

\(D = (-2,-2)\)

First, we calculate the perimeter of the corners in units.

This is done by calculating the distance between the corners.

Distance is calculated as:

\(D = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2 }\)

For AB:

\((x_1,y_1) = (-2,2)\)

\((x_2,y_2) = (1,2)\)

\(D_1 = \sqrt{(1 - (-2))^2 +(2 - 2)^2 }\)

\(D_1 = \sqrt{(1 +2)^2 +(0)^2 }\)

\(D_1 = \sqrt{3^2}\)

\(D_1 = 3\)

For BC

\((x_1,y_1) = (1,2)\)

\((x_2,y_2) = (1,-2)\)

\(D_2 = \sqrt{(1 - 1)^2 +(-2 - 2)^2 }\)

\(D_2 = \sqrt{(0)^2 +(-4)^2 }\)

\(D_2 = \sqrt{16 }\)

\(D_2 = 4\)

For CD:

\((x_1,y_1) = (1,-2)\)

\((x_2,y_2) = (-2,-2)\)

\(D_3 = \sqrt{(-2 - 1)^2 +(-2 - (-2))^2 }\)

\(D_3 = \sqrt{(-3)^2 +(-2 +2)^2 }\)

\(D_3 = \sqrt{9 +0^2 }\)

\(D_3 = \sqrt{9 }\)

\(D_3 = 3\)

For DA

\((x_1,y_1) = (-2,-2)\)

\((x_2,y_2) = (-2,2)\)

\(D_4 = \sqrt{(-2 - (-2))^2 +(2 - (-2))^2 }\)

\(D_4 = \sqrt{(-2 +2)^2 +(2 +2))^2 }\)

\(D_4 = \sqrt{0^2 +4^2 }\)

\(D_4 = \sqrt{4^2 }\)

\(D_4 = 4\)

The perimeter P in units is:

\(P = D_1 + D_2 + D_3 + D_4\)

\(P = 3+4+3+4\)

\(P = 14\)

Given that:

\(1\ units = 2.5\ miles\)

Multiply both sides by 14

\(14 * 1\ units = 14 * 2.5\ miles\)

\(14 \ units = 35\ miles\)

Hence, the perimeter is 35 miles

The value of g′(7) is 1/3 found using the increasing function.

Given that, h(x) is an increasing function, which means that the derivative of h(x) will always be positive.

If we observe the table, we can see that the values of h(x) is increasing. Thus, we can say that h'(x) is a positive value for all values of x. Let g(x) be the differentiable function such that h(g(x)) = x.

We are supposed to find the value of g′(7). We know that h(g(x)) = x, by applying the chain rule of differentiation to h(g(x)), we can write it as follows:h′(g(x)) g′(x) = 1 => g′(x) = 1 / h′(g(x))

Substituting x = 7 in the above equation,g′(7) = 1/h′(g(7))

From the given table, the value of h(7) is 16. Given that h(x) is an increasing function, we can say that h'(x) is positive for all values of x.

The derivative of h(x) at x = 7 can be calculated by finding the slope of the tangent at the point (7,16).From the given table, we can see that when x = 6, h(x) = 12, and when x = 8, h(x) = 18.

Slope of the line joining the points (6,12) and (8,18) can be calculated as follows:m = Δy / Δx= (18 - 12) / (8 - 6)= 3The slope of the tangent at the point (7,16) is 3.Thus, we can write:h′(7) = 3

Substituting h′(7) in the equation,g′(7) = 1/h′(g(7))= 1 / 3

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Answer: To find the discount, simply multiply the original selling price by the %discount:

ie:  39 x 33/100= $12.87

So, the discount is $12.87.

Step-by-step explanation: To find the sale price, simply minus the discount from the original selling price:

ie: 39- 12. 87=  26.13

So, the sale price is $26.13

Answer:

224

Step-by-step explanation:

1. first divide 8/2 in the parentheses which will give you 4

2. Then multiply 4 to 8 which will give you 32

3. finally multiply 32 to 7 which will give you an answer of 224

The equation of the parabola with focus (2,5) and directrix x=18 is (x - 18)² + (y - 5)² = (y - (5 + (18 - 2) / 2))².

A parabola is a conic section, the intersection of a right circular conical surface and a plane parallel to a generating

straight line of that surface.

The focus of a parabola is a fixed point on the interior of a parabola used in the formal definition of the curve.

The directrix is a straight line perpendicular to the axis of symmetry and placed symmetrically with respect to the focus.

The axis of symmetry is the line through the focus and perpendicular to the directrix.

The vertex of a parabola is the point where its axis of symmetry intersects the curve. It is the point where the parabola changes direction or "opens

up" or "opens down.

The directrix is a fixed straight line used in the definition of a

parabola. It is placed such that it is perpendicular to the axis of symmetry and at a distance from the vertex equal to the

distance between the vertex and focus. It is the line that is equidistant to the focus and every point on the curve.Here's

the solution to the given problem:

The distance between the directrix and the focus is equal to p = 16 (since the directrix is x = 18, the parabola opens to the left, so the distance is measured horizontally)

The vertex is (h,k) = ((18+2)/2,5) = (10,5)

Then we can use the following formula: (x - h)² = 4p(y - k)

Substitute the vertex and the value of p. (x - 10)² = 64(y - 5)

Expand and simplify. (x - 10)² + (y - 5)² = 64(y - 5)

The equation of the parabola is (x - 10)² + (y - 5)² = 64(y - 5).

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The following binary number has the value of 157 in decimal form.

Step 1: Compose the binary number in writing. 10011101

Multiplying each binary digit by the corresponding power of two in step two:

1x27 + 0x26 + 0x25 + 1x24 + 1x23 + 1x22 + 0x21 + 1x20

Solve the powers in Step 3:

1x128+0x64+0x32+1x16+8+4+0x2+1x1=128+0 + 0 + 0 + 16+8+4+0 + 0 + 1

Step 4: Add the figures listed above:

128 + 0 + 0 + 16 + 8 + 4 + 0 + 1 = 157.

A binary number is a number that is expressed in the binary system or base 2 numeral system, according to digital technology and mathematics. It talks about numerical values.by the two distinct digits 1 (one) and 0 (zero). The base-2 system is the positional notation that uses 2 as the radix.

A number that has been divided into a whole and a fraction is called a decimal. To express the numerical value of entirely and partially entire quantities between integers, decimal numbers are used.

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Answer:  I believe that there would end p being 2 cats

Step-by-step explanation: 2 cats for very 5 dogs 10 divided by 5 gets me 2. 2 groups of 5 dogs means 4 cats actually.

Answer:

2r-3(r+7)-8r=10(r-1)

2r-3r-21-8r=10r-10

-9r-10r=-10+21

-19r=11

-19/11=r

Step-by-step explanation:

Answer:

80,775

Step-by-step explanation:

I= (22,825) (0.0403) (63)

I= 57,950

P+I=A

I= A+P

I= 22,825 + 57,950

I= 80,775