Find tan A.
A. tanA = 12/5
B. tanA = 5/12
C. tanA = 13/5
D. tanA = 5/13

The average score of all students, calculated by taking a weighted average based on the number of students in each group, is 38. The overall performance is slightly below the group averages.

The average score of students in the first, second, and third groups are 39, 32, and 43, respectively. There are 24 students in the first group, 26 students in the second group, and 27 students in the third group.

To find the average score of all students, we need to take a weighted average of the scores in each group, with the number of students in each group as the weights.

Here's how to do it: First, we calculate the total number of students:24 + 26 + 27 = 77. Then, we calculate the total score across all students: 39*24 + 32*26 + 43*27 = 936 + 832 + 1161 = 2929

Finally, we divide the total score by the total number of students to get the average score:2929/77 = 38. The average score of all students is 38.

This means that the overall performance of all the students is slightly below the average of the scores in each group.

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The population in order to calculate the mean height will be all the students attending the college.

The population is the entire group of individuals being studied. In this case, the population is all the students who goes to the college.

Every member of a group constitutes a population. It is the inverse of a sample, which is a percentage or proportion of a group. It is sometimes possible to poll every member of a group. The U.S. Census is a quintessential example of a population, as it is required by law that every member of the U.S. population reply. In most circumstances, surveying everyone is unfeasible in statistics.

Consider how long it would take you to phone every dog owner in the United States to find out what brand of dog food they preferred. Furthermore, people may choose not to respond or may forget to respond, resulting in incomplete censuses. By definition, incomplete censuses become samples.

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The equation that shows how the total number of science quizzes, y, depends on the number of months that have passed, x is y = 4x.

An equation is a mathematical statement that shows the relationship between two or more values.

In this case, Leon has already had 4 science quizzes this semester and expects to have 4 quizzes per month going forward.

We can use an equation to show how the total number of science quizzes, y, depends on the number of months that have passed, x.

The equation for this would be y = 4x, where x is the number of months that have passed and y is the total number of science quizzes.

This equation shows that for each month that passes, the total number of science quizzes increases by 4

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To construct a 98% confidence interval for B₁, we can use the t-distribution since the sample size is small (n = 12).

Given the sample mean (B₁ = 46), sample standard deviation (s = 5.7), and sum of squares (SSzz = 57), we can calculate the confidence interval.

The formula for a confidence interval is:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

For a 98% confidence level and n = 12, the critical value is approximately 2.681 (obtained from a t-distribution table).

The standard error is calculated as the sample standard deviation divided by the square root of the sample size (s / √n).

Plugging in the values:

Standard Error = 5.7 / √12 ≈ 1.647

Confidence Interval = 46 ± (2.681 * 1.647)

Therefore, the 98% confidence interval for B₁ is approximately (42.21, 49.79).

In conclusion, we can be 98% confident that the true value of B₁ falls within the range of 42.21 to 49.79 based on the given sample data.

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Answer:

  3/2

Step-by-step explanation:

Finding the slope of a line on a graph is easier if you can identify places where the line crosses grid intersections. We see two of those to be ...

  (4, 1) and (6, 4)

The second of these points is 4-1 = 3 grid squares higher than the first point. It is also 6 -4 = 2 grid squares to the right. The slope is the ratio of these values:

  slope = "rise"/"run" = 3/2

The slope of the graphed line is 3/2.

Answer:

EF = 7 units

AD =  3 units

BC =  11 units

Step-by-step explanation:

Since it is an isosceles trapezoid and the midsegment is x, the sum of the bases divided by 1/2 is the value of the midsegment, x.

x = 1/2(x-4 + 2x-3)

x = 1/2x - 2 + x - 1 1/2

x = 1 1/2 x - 3.5

-1/2 x = -3.5

x = 7 units

EF = 7 units

AD = 7-4 = 3 units

BC = 2(7) - 3 = 11 units

The measurements of the trapezoid are EF = 7 units, AD = 3 units and BC = 11 units

A type of quadrilaterals having one pair of parallel sides are considered as trapezoids.

Given is a trapezoid, with midsegment = x, bases = x-4 and 2x-3

Since it is a trapezoid and the midsegment is x, the sum of the bases divided by 1/2 is the value of the midsegment, x.

x = 1/2(x-4 + 2x-3)

x = 3x/2 - 7/2

2x = 3x-7

-1/2 x = -3.5

x = 7 units

EF = 7 units

AD = 7-4 = 3 units

BC = 2(7) - 3 = 11 units

Hence, the measurements are EF = 7 units, AD = 3 units and BC = 11 units

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If we had a polynomial-time algorithm for computing the length of the shortest TSP tour, then we would also have a polynomial-time algorithm for finding the shortest TSP tour by using the following approach: Generate all possible tours, For each tour, compute its length, The shortest tour is the one with the minimum length.

The first step, generating all possible tours, can be done in polynomial time. This is because the number of possible tours is a polynomial function of the number of cities.

The second step, computing the length of each tour, can also be done in polynomial time. This is because the length of a tour is a polynomial function of the distances between the cities.

Therefore, the overall algorithm for finding the shortest TSP tour is polynomial-time.

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b - the other base;

A = 9/2 ( b + 35 )   / * 2  ( we will multiply both sides of the equation by 2 )

2 A = 9 ( b + 35 )

b + 35 = 2 A / 9  

b + 35 - 35 = 2 A / 9 - 35

b = (2 A / 9 ) - 35

Answer: B ) b = 2 multiplied by A over 9 - 35

Hope this helps pls give me brainliest

Answer:

B = 2 multiplied by A over 9 - 35

Step-by-step explanation:

ion know

Three consecutive integers such that the first plus 4 times the second total 210 more than the third are 52, 53, 54

Integers that are listed in a consistent counting pattern are referred to as consecutive integers. There are no numbers missed while listing consecutive integers in a sequence, so the difference between them is always fixed. The difference between each successive integer, for instance, can be written as -4, -3, -2, -1, 0, 1, 2, 3, and so on.

Let the three numbers be x, x+1, x+2

As per given question,

⇒ x + 4(x + 1) + = 210 + x + 2

⇒ x + 4x + 4 = 210 + x + 2

⇒ 4x + 4 = 212

⇒ 4x = 208

⇒ x = 52

∴ The three consecutive integers will be 52, 53, 54

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Answer:

\(x = \frac{2(A_T) }{(AB) + (AC) + (BC)} \)

Answer:

C ; 20 weeks

Step-by-step explanation:

\(y=0.25x+18\\23=0.25x+18\\23-18=0.25x+18-18\\5=0.25x\\\frac{5}{0.25}=\frac{0.25x}{0.25} \\20=x\)

Answer:

True

hope it helps :) !!!

Answer:

the answer is true, it's the objects net is the same as the surface area.

To mode of given data set of number of days worked in october for 10 programmers of a software company is 7 and 14.

The mode of a data set is the value that appears most frequently. In this case, we can see that both 7 and 14 appear twice, while all other values appear only once. Therefore, there are two modes in this data set: 7 and 14.

To solve mathematically, we can use the mode formula:

mode = value with the highest frequency

In this case, we have two values with the highest frequency, which are 7 and 14. Therefore, the mode of given data set is 7 and 14.

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Answer:

150 for 26.75

Step-by-step explanation:

26.75/150 is .178

18.5/100 is .185

Answer:

c or d

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

Hope this helped :)

Answer:

Yes

Step-by-step explanation:

ab = ba when a = 2 and b = 3

(2)(3) = (3)(2)

6 = 6

Best of Luck!

Answer:

m = 1 and n = 10.

Step-by-step explanation:

I  am assuming you mean -8, m , n, 19.

If they are in AP the 4 terms will have a common difference.

19 - (-8) = 19 + 8 = 27.

So the increase over 3 terms (from -8 to 19) is 27 so we have:

27 / 3 = 9

Therefore the common difference is 9 and the A P is

-8, 1, 10, 19.

Considering the two similar triangles in the figure,  < K = 60° and < L = 95°. the other angles are

< E = 95°

< F = 60°

< G = 25°

This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent

Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions

Examining the figure since the corresponding angels in a similar triangles are congruent therefore

< K = < F = 60°

< L = < E = 95°

the remaining side is found by

180 - 60 - 95 = < G (sum of angles in a triangle)

< G = 25°

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Answer:

\(\angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}\)

Step-by-step explanation:

\(\frac{\sin(\angle BAC)}{13}=\frac{\sin 23^{\circ}}{6} \\ \\ \sin \angle BAC=\frac{13\sin 23^{\circ}}{6} \\ \\ \angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}\)

Answer:

0.38 l

Step-by-step explanation:

Bottles:

Closest to 1/2 l= 500 ml volume? The difference between the given and 500 ml volume:

The smallest absolute difference in the list above is -120 so the closest one to 1/2 liters is 380 ml= 0.38 l

Answer:

90

Step-by-step explanation:

can u help me

What is the volume of a square-based pyramid with a base length of 5 ft and a height of 24 ft?

Enter your answer in the box.

answer asap

ft³

If Flyer Co. buys back 5102 shares of their $3 par value common stock for $17 per share. The amount debited to the treasury stock account to record the purchase would be $ 86,834.

To calculate the amount debited to the treasury stock account, we need to multiply the number of shares bought back by the price per share.

In this case, Flyer Co. buys back 5102 shares at $17 per share.

The amount debited to the treasury stock account is calculated as follows:

Amount = Number of shares bought back * Price per share

Amount = 5102 * $17

Amount = $86,834

Therefore, the amount debited to the treasury stock account to record the purchase would be $86,834.

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Answer:

D

Step-by-step explanation:

You need to explain why you feel they are good or bad.

Answer:

Step-by-step explanation:

y= 3+x/2

2y= 6+x

put x+1

y= 7/2

now put this value in first equation

x=4

Answer:

The independent variable is time.

Step-by-step explanation:

(Y=mx+b format)

Maddi's rental for the car costs $13 per hour so the x variable would be the hours (x=hour). This would be a Y= mx + b equation and in this case, Y=13x + 100. Independent means (mathmatically) a variable that does not depend on any other variable for its value. The costs is always changing being dependent on the time portion. The time isn't dependent on anything. Thus, the independent variable is time.

(If you need a starting point which is b, it would be the $100 as the processing fee.)

Company B charges $30 more than Company A for every x miles driven.

Let's begin by calculating the total cost of renting a car from each company:

40.50 + 0.08x, where x is the number of miles driven

B Corporation: 70.50 + 0.12x

We can subtract the expression for Company A from the expression for Company B to find out how much more Company B charges for x miles than Company A:

(70.50 + 0.12x) - (40.50 + 0.08x)

When we simplify, we get:

30 + 0.04x

As a result, Company B charges $30 more per x miles driven than Company A.

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