A poll of students showed that 45 percent liked basketball, 45 percent liked soccer, 40 percent liked football, 15 percent liked both basketball and soccer, 15 percent liked both soccer and footbal, 15 percent liked both basketball and football, and
10 percent liked all three
sports. What percentage of students like only one sport? What percentage does not like any of the three sports?
What percent of students the only one sport? What
percent of students do not like any of the three sports?

The temperature at 8:00 A.M. was 15°C.

Using the given information:
1. At 7:00 P.M., the temperature was 16°C.
2. This temperature was 9°C less than the temperature at 2:00 P.M.

We can use this information to find the temperature at 2:00 P.M.:
Temperature at 2:00 P.M. = 16°C (temperature at 7:00 P.M.) + 9°C
Temperature at 2:00 P.M. = 25°C

3. The temperature at 2:00 P.M. was 10°C higher than the temperature at 8:00 A.M.

Now, we can find the temperature at 8:00 A.M.:
Temperature at 8:00 A.M. = 25°C (temperature at 2:00 P.M.) - 10°C
Temperature at 8:00 A.M. = 15°C

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the answer is A: 9 cm

Step-by-step explanation:

If the two angles are complementary, then their sum is 90 degrees.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

If the two angles are complementary, then their sum is 90 degrees.

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Answer:

B

Step-by-step explanation:

20/50

Work for E and F- 20/50=20X2=40                40 divided by 100 is 40%

                                           50X2=100               and 40/100

Answer:

A, C, and D.

Step-by-step explanation:

-0.6

-60/100

-60%

1. 50-20=30

2. There are 30/50 slices left.

3. 30/50 = 60/100

4. 60/100 written as a decimal is 0.6.

Answer:

0.83.

Step-by-step explanation:

31/40 = 0.775

6/16 = 3/8.

0.375 = 3/8

Answer:

.83

Step-by-step explanation:

31/40 =.775

6/16 = 3/8

.83 = 83/100  not equal

.375 =  3/8

The fraction of the original passengers remaining on the bus is 11/21.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, A crowded bus makes several stops along a city street, with no passengers boarding the bus at any stop.

.At the 1st stop 1/3 of the passengers exit.

At the 2nd stop, 3/7 of the remaining passengers exit the bus.

Therefore, The fraction of the original passengers who remain on the bus is,

= [(1 - (1×1/3) - (1)×(1/3)×(3/7)].

= [ 1 - (1/3) - (3/21)].

= [ (2/3) - (3/21)].

= [(14 - 3)/21].

= 11/21.

So, 11/21 remains on the bus.

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Answer:

(3, -2) is the correct choice.

Answer:

False. The product of two negative integers is a positive integer.

Answer:

14 hours

Step-by-step explanation:

35 miles per 1 hour

500 miles per x?

cross multiply

500 miles = 14.28 hours

35miles

Answer:

  y = -x +3

Step-by-step explanation:

You want the slope-intercept equation of the line with the same intercept as -3y = -9 +3x, and the same slope as -2x -2y = -8.

The slope-intercept form of the equation of a line is ...

  y = mx +b . . . . . where m is the slope, and b is the y-intercept

For the given equations, we can put them in this form to find the desired parameters.

  -3y = -9 +3x

  y = -x +3 . . . . . . . . . . divide both sides by -3

We observe that the y-intercept is +3, which we will need for our answer.

The slope-intercept form of the second equation is ...

  -2x -2y = -8

  x + y = 4 . . . . . . . . . . divide by -2

  y = -x +4 . . . . . . . . . . subtract x

We observe that the slope (coefficient of x) is -1, which we will need for our answer.

We want the equation of the line with slope -1 and y-intercept 3. It is ...

  y = -x +3 . . . . . . . . . . same as the equation of the first line

__

Additional comment

The slope-intercept equation (green) is plotted using dots, so that you can see it is coincident with the line described by the first equation (red). Parallel lines have the same slope, so our desired line must be parallel to the blue line. (It is.)

The trigonometric functions for the angle with the least possible positive measure and the point (-2, √3) on the terminal side are:

sin(0) = √3/2

cos(0) = -1/2

tan(0) = -√3

csc(0) = 2/√3

sec(0) = -2

cot(0) = -1/√3

To sketch an angle in standard position, we start by placing the initial side along the positive x-axis. Since we want the angle with the least possible positive measure, we choose the smallest positive angle, which is 0 degrees or 0 radians.

Next, we plot the point (-2, √3) on the terminal side of the angle. This point lies in the third quadrant of the coordinate plane. We draw a line segment from the origin to this point, representing the terminal side of the angle.

To find the values of the trigonometric functions, we can use the coordinates of the point (-2, √3) to determine the side lengths of a right triangle. The x-coordinate (-2) represents the length of the adjacent side, and the y-coordinate (√3) represents the length of the opposite side. The hypotenuse can be found using the Pythagorean theorem.

Using the values of the sides, we can calculate the trigonometric functions:

sin(0) = opposite/hypotenuse = √3/2

cos(0) = adjacent/hypotenuse = -1/2

tan(0) = opposite/adjacent = -√3

csc(0) = 1/sin(0) = 2/√3

sec(0) = 1/cos(0) = -2

cot(0) = 1/tan(0) = -1/√3

The trigonometric functions for the angle with the least possible positive measure and the point (-2, √3) on the terminal side are:

sin(0) = √3/2

cos(0) = -1/2

tan(0) = -√3

csc(0) = 2/√3

sec(0) = -2

cot(0) = -1/√3

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Answer:

Whats the question?

Step-by-step explanation:

Srry i couldnt help

Answer: 3 < w < 8

Step-by-step explanation:

If 3 is less than w you would write that as 3 < w.

Now you have 8, which is greater than w and that is written as 8 > w or w < 8.

Therefore, 3 < w < 8

Answer:

1/2

Step-by-step explanation:

According to pythagoras theorem;

(sinx)²+(cosx)² = 1

Given that sinФ = √3/2

Substitute into the formula

(√3/2)²+(cosx)² = 1

3/4+(cosx)² = 1

(cosx)² = 1 - 3/4

(cosx)²  = 1/4

cos x = √1/4

cos x = 1/2

Hence the value of cosФ is 1/2

The interviewer should provide clear and concise feedback on the candidate's performance in the interview, and ensure that the feedback is related to the job requirements.

In addition, the interviewer should ask relevant questions to get an idea about the interviewee's knowledge, skills, and abilities.Overall, the interviewer should strive to be fair and objective throughout the interview process, to minimize the risk of Unbiased Errors.

An interviewer officer selects a person not suitable for the job, this error is known as Unbaised Error.What is an Unbiased Error?An Unbiased error happens when you make an incorrect judgment regarding the interviewee, which may occur when the interviewer is unable to assess the interviewee objectively.

There are many factors that could contribute to an Unbiased Error, such as the interviewer's opinions and preconceptions, their biases or prejudices, the interviewer's inadequate understanding of the job requirements, or the applicant's inadequate preparation for the interview.In an unbiased interview, the interviewer does not have any preconceived ideas or predetermined judgments about the interviewee's knowledge, skills, or abilities.

The interviewer should be able to provide equal chances for all applicants, regardless of their gender, ethnicity, or any other factors that are not related to the job requirements.The interviewer should also assess the interviewee objectively, with no favoritism or bias.

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Answer:

2520

Step-by-step explanation:

There are 7 letters in MCHNLRN and they can be arranged into 7 ways:

7! = 5040 ways in total

However, the letter 'N' is repeated so we have to divide it by 2.

5040 ÷ 2 = 2520 ways

Answer:

2,520 ways

Step-by-step explanation:

MCHNLRN has 7 letters with one repetition.

therefore, =7!/2!

=2,520 ways

Answer:c

Step-by-step explanation is va cuz when your multiply:

Answer:

\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)

Step-by-step explanation:

The analysis is as attached below.

Therefore , the soIution of the given probIem of area comes out to be circIe's shaded section has an area of roughIy 40.68 cm².

Its totaI size can be determined by figuring out how much area wouId be required to compIeteIy cover its exterior. When choosing an equivaIent product for a rectanguIar design, the surrounding region is taken into account. Something's totaI dimensions are determined by its surface area. The voIume of water a cuboid can contain depends on the number in sides between its four trapezoidaI curves.

Here,

We must caIcuIate the area of the sector created by the centraI angIe and deduct it from the area of the isosceIes triangIe in order to determine the area of the circIe's shaded segment.

=> 2r sin(θ/2) equaIs c=> 2(6) sin(θ/2) = 8

=> sin(θ/2) = 4/6 = 2/3

=> θ/2 = sin⁻¹(2/3) ≈ 41.81°

=> θ = 2(41.81°) ≈ 83.63°

Next, Iet's determine the sector's area:

=> A = (θ/360°)πr²

=> A = (83.63°/360°)π(6 cm)²

=> A ≈ 56.55 cm²

The Pythagorean formuIa can be used to determine the triangIe's base Iength:

=> b² = c² - h²

=> b² = 8² - 6²

=> b² = 28

=> b ≈ 5.29 cm

The triangIe's surface size is:

=> A = (1/2)bh

=> A = (1/2)(5.29 cm)(6 cm)

=> A ≈ 15.87 cm²

The sector's area Iess the triangIe's area equaIs the area of the dark segment:

=> A = 56.55 cm² - 15.87 cm²

=>  A ≈ 40.68 cm²

As a resuIt, the circIe's shaded section has an area of roughIy 40.68 cm².

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the solutions to the equation \(2x^2 - x - 3 = 0\) are x = 1.5 or x = -0.5.

The square root of 25 can be expressed simply as 5:

x = (1 ± 5) / 4

This provides us with two potential answers:

x = (1 + 5) / 4 = 1.5

or

x = (1 - 5) / 4 = -0.5

The square root of a negative number is not a real number, so this equation does not have a real solution using geometric mean.

By dividing the sum of the given numbers by the entire number of numbers, the mean—the average of the given numbers—is determined.

Based on the provided data set, the fundamental formula to determine the mean is calculated. When calculating the mean, every term in the data set is taken into account. The ratio between the total number of terms and the sum of all the terms provides the general formula for the mean. Hence, we may state;

Mean is equal to the product of the given data and the total amount of data.

from the question:

The following formula can be used to find x using geometric mean:

\(x = \sqrt{(ab)}\)

where a and b are the two numbers whose geometric means we're interested in finding.

The two roots of the quadratic equation \(ax^2 + bx + c = 0\) in standard form can be used here as a and b. Applying the previous solutions, we obtain:

\(x = \sqrt{(1.5 (-0.5)}\)

\(x = \sqrt{(-0.75)}\)

As the square root of a negative number is not a real number, the geometric mean method cannot find a real solution to this problem.

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Here, lots of questions are asking.

The study of shapes, sizes, locations, and qualities of objects in space is referred to as geometry. It covers the examination of points, lines, angles, planes, and solid figures as well as their interrelationships. In areas including architecture, engineering, physics, and computer graphics, among others, geometry is used in real-world settings. It is frequently taught to kids starting at a young age and is a crucial component of mathematics education.

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Answer: Area: 460.48 ft^2         Perimeter: 90.12 ft

Step-by-step explanation:

The area is 1/2 * 3.14 * (16 / 2)^2 (area of semicircle)

+ 10 * 12 / 2 (area of triangle)

+ 20 * 15 (area of rectangle)

= 460.48

The perimeter is 1/2 * 16 * 3.14 (perimeter of semicircle)

+ 10 (perimeter of triangle)

+ 20 + 15 + 20 (perimeter of rectangle)

= 90.12

The yearly tuition without a scholarship in the school is $8000.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Let the normal value be represented by x.

Since Sierra earned a scholarship to her state's University and pay 35% less for her tuition than the original cost, this will be:

x - (35% × x) = 5200

x - 0.35x = 5200

0.65x = 5200

Divide

x = 5200/0.65

x = 8000

The fee is $8000.

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Answer:

2/5

Step-by-step explanation:

If Vicki has 100 jelly beans then Bert would have 140. Bert would have to give 40 out of his 140 to Vicki or 40/100 -> 4/10 -> 2/5. Bert would have to give 2/5 of his jelly beans to Vicki.

if its constant rate or unit rate its just multiple 6 until u get 30

Answer:

156°

Step-by-step explanation:

each angle of a polynomial

\(=\frac{n-2}{n} \times 180\\here~n=15\\each~angle=\frac{15-2}{15} \times 180\\=\frac{13}{15} \times~180\\=13 \times 12\\=156 ^\circle\)

The annual interest rate is 8%

The length of the investment in years is 6 yr.

The periodic interest rate is 2%

The number of periods of the investment periods \(=\frac{24}{\text { periods. }}\)

As per the details share in the above question are as follow,

Given time period of t=5 years

Where the Interest rate of =8 % (Quarterly compounding)

Note: for quarterly compounding n=4

(a) So the annual interest rate will be of 8 %

(b) Further the length of Investment in years 6 years

(C) The Periodic interest rate

\($(\gamma)=\left(\frac{8}{4}\right)=2 \%$\)

(d) Number of periods for investment \($=n t$\)

\(\Rightarrow 4 \times 6=\frac{24}{\text { periods. }}\)

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The required domain and the range of the given function are (-2, 3) and (2, -3) respectively.

Given that,
To determine the domain and the range of the function given in the graph.

The domain is defined as the values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.

Here,
From the graph, the domain of the function is defined for x = -2 to x = 3,
While the range of the graph for a given function is defined for y = 2 to y = -3 corresponding to the domain.

Thus, the required domain and the range of the given function are (-2, 3) and (2, -3) respectively.

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Answer:

0 (zero)

Step-by-step explanation:

5.3 - 5.3 = 0

5 - 5 = 0       0.3 - 0.3 = 0

5.3 - 0.3 = 5   5 - 5 = 0

The slope of a line perpendicular to the line whose equation is x - 2y = -8 is -2.

In Mathematics and Geometry, perpendicular lines are two (2) lines that intersect or meet each other at an angle of 90° (right angles).

From the information provided above, the slope for the equation of line m is given  by:

x - 2y = -8

2y = x + 8

y = x/2 + 4

slope (m) of line m = 1/2

In Mathematics and Geometry, a condition that is true for two lines to be perpendicular is given by:

m₁ × m₂ = -1

1/2 × m₂ = -1

m₂ = -2

Slope, m₂ of perpendicular line = -2

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he net income for the year is $16,550.

Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)

Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500

Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800

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