There are 20 problems in a mathematics competition. The scores of each problem are allocated in the following ways: 3 marks will be given for a correct answer. I mark will be deducted from a wrong answer and O marks will be given for a blank answer. Find the minimum number of candidate(S) to ensure that 2 candidates will have the same scores in the competition.

Answer:

12/25

Step-by-step explanation:

There were a total of 48 males, so 48/100 = 12/25.

+---------------+------+--------+-------+

|           | Male | Female | Total |

+---------------+------+--------+-------+

| Prefers Dogs  | 36 | 20 | 56   |

+---------------+------+--------+-------+

| Prefers Cats  | 10   | 26 | 36   |

+---------------+------+--------+-------+

| No Preference | 2 | 6  | 8   |

+---------------+------+--------+-------+

| Total         | 48   | 52     | 100   |

+---------------+------+--------+-------+

The volume of the cone-shaped sandwich is approximately 1.6 cubic inches when rounded to the nearest tenth.

To calculate the volume of a cone-shaped sandwich, we can use the formula:

Volume = (1/3) × π × r² × h

Where:

π is approximately 3.14159

r is the radius of the base of the cone.

h is the height of the cone

Given, the height (h) of the sandwich is given as 7 inches, and the diameter is 2.5 inches.

The radius (r) can be calculated by dividing the diameter by 2:

r = 2.5 inches / 2 = 1.25 inches

Substitute the values into the formula:

Volume = (1/3) × 3.14159 × (1.25 inches)² × 7 inches

Volume = (1/3) × 3.14159 × (1.25 inches × 1.25 inches) × 7 inches

Volume ≈ 1.637 units³ (rounded to three decimal places)

Therefore, the volume of the cone-shaped sandwich is approximately 1.6 cubic inches when rounded to the nearest tenth.

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The cross sectional area of the cargo trailer floor, which is a composite figure consisting of a square and an isosceles triangle, indicates that the volume of the inside of the trailer is about 3,952 ft³.

A composite figure is a figure comprising of two or more regular figures.

The possible cross section of the trailer, obtained from a similar question on the internet, includes a composite figure, which includes a rectangle and an isosceles triangle.

Please find attached the cross section of the Cargo Trailer Floor created with MS Word.

The dimensions of the rectangle are; Width = 6 ft, length = 10 ft

The dimensions of the triangle are; Base length 6 ft, leg length = 4 ft

Height of the triangular cross section = √(4² - (6/2)²) = √(7)

The cross sectional area of the trailer, A = 6 × 10 + (1/2) × 6 × √(7)

A = 60 + 3·√7

Volume of the trailer, V = Cross sectional area × Height

V = (60 + 3·√7) × 6.5 = 3900 + 19.5·√7

Volume of the trailer = (3,900 + 19.5·√(7)) ft³ ≈ 3952 ft³

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Answer:

x-intercept(s):  (-14,0)

y-intercept(s):  (0,-2)

Step-by-step explanation:

To find the x-intercept, substitute in  0 for yand solve

To find the y-intercept, substitute in  0 for x and solve for y

Answer:

x = -2

Step-by-step explanation:

-3x + 1 = 7

Subtract 1 from both sides:

-3x = 6

Divide -3 by both sides:

x = -2

Answer: you just take the first set of points and subtract the second from it.

Step-by-step explanation: 2-9=-7 and 2-10=-8

the new set would be (-7,-8) hope this helps

The line 4x + 3y + k = 0 and the circle x^2 + y^2 = 4 intersect in two coincident points, indicating that they share a common tangent. This means that the line is tangent to the circle at those two points.

To show that the line 4x + 3y + k = 0 and the circle x^2 + y^2 = 4 intersect in two coincident points, we need to find the values of x, y, and k that satisfy both equations simultaneously. First, let's rewrite the equation of the line in slope-intercept form. Solving for y, we have y = -(4/3)x - (k/3). Now, we substitute this expression for y into the equation of the circle: x^2 + [-(4/3)x - (k/3)]^2 = 4. Simplifying this equation, we get:

x^2 + (16/9)x^2 + (8/3)kx + (k^2/9) = 4.

Combining like terms, we have:

(25/9)x^2 + (8/3)kx + (k^2/9) = 4.

This equation represents a quadratic equation in terms of x, with coefficients dependent on k. To find the values of k for which the line and circle intersect in two coincident points, we need to determine when this quadratic equation has a double root. For a quadratic equation ax^2 + bx + c = 0 to have a double root, the discriminant (b^2 - 4ac) must be equal to zero. In our case, the discriminant is:

(8/3)k^2 - 4(25/9)(k^2/9) = (8/3)k^2 - (100/27)k^2 = (8/3 - 100/27)k^2.

Setting the discriminant equal to zero, we have:

(8/3 - 100/27)k^2 = 0.

Simplifying this equation, we find:

(8/3 - 100/27)k^2 = (-260/81)k^2 = 0.

Since k^2 cannot be negative, the only possible solution is k = 0.

Therefore, when k = 0, the line 4x + 3y + k = 0 and the circle x^2 + y^2 = 4 intersect in two coincident points, indicating that the line is tangent to the circle at those two points.

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13 weeks.

Our equation is \(y=-24x + 379\).
x is the amount of weeks that has passed. x is being multiplied by -24. The +379 is our y-intercept. This means that per week, the account loses $24. The y-intercept also means that the account started with having $379 in it.

Finally, y is the output of the equation. This means that when you plug in the number of weeks, we see how much money is in the bank account with the y-value.

For example, if we solve for 2 weeks;

\(y=-24(2)+379=-48+379=331\). So after 2 weeks, the account will have $331 left.

Now to find the answer. We can plug in the final amount that we are given ($67) and then solve from there.

\(67=-24x+379\)

Next we isolate x and its coefficient:

\(67-379=-24x+379-379\)

\(-312=-24x\)

Multiply both by -1 to get positive numbers:

\(-312*-1=-24x*-1\)

\(312=24x\)

Now divide both sides by 24 to completely isolate x.

\(\frac{312}{24}=\frac{24x}{24}\)

\(13=x\)

OR

\(x=13\).

This means that when x = 13, y = 67. When 13 weeks pass, the amount of money in the account is equal to $67.

Therefore, the amount of time it takes for the account to be depleted to $67 is 13 weeks.

Answer:

Ok, so x=4 if you set the two equations equal to each other. Therefore, you sub in 4 to one of the equations, (so 5(4)+20 = 40) so since the angles with the two angles are the same, they both have 40 degrees. So 80 degrees in total is known. Since a full circle is 360 degrees, do 360 - 80 = 280. Then do 280/2 = 140. Therefore the top and bottom angles are 140 degrees each, and left and right angles are 40 degrees each

To cancel the account, contact customer support and provide necessary details. Verify ownership, request cancellation, follow instructions, and keep confirmation of cancellation.

1. Contact customer support: Reach out to the customer support team of the service provider through their official channels. Look for their contact information on their website or in the account settings section.

2. Provide necessary details: When contacting customer support, explain the situation and provide any required information, such as the account username, email address, or any other identifying details associated with the account.

3. Verify ownership: The customer support team may ask for verification to ensure that you are the rightful owner of the account. Be prepared to provide any necessary documents or proof of ownership.

4. Request cancellation: Clearly state your intention to cancel the account and ask the customer support representative to assist you with the process. They will guide you through the necessary steps to close the account.

5. Follow instructions: Carefully follow any instructions provided by the customer support representative to complete the cancellation process. This may involve confirming your decision through an email or clicking on a cancellation link.

6. Confirmation of cancellation: After completing the cancellation steps, you should receive a confirmation email or notification from the service provider indicating that the account has been successfully canceled. Keep this confirmation for future reference.

Remember to keep any relevant documentation or communication related to the cancellation process in case you need it for reference or to resolve any potential issues that may arise.

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Answer:

Yes

Step-by-step explanation:

Yes it is a function.

Answer:

−4; the amount of bait decreases by 4 pieces each hour

Step-by-step explanation

Answer:

−4; the amount of bait decreases by 4 pieces each hour

Step-by-step explanation:

I did the exam and got it right .

hope this helps you! have a Great day!

Answer:

answer is 12

12 because 5x12+5 = 65 and 180-115=65 meaning x=65

Answer:

1) 8.5028 Kilometers per liter

2) 29.0576 meters per second

Step-by-step explanation:

1) 20 Miles per gallon = 8.5028 Kilometers per liter

This conversion of 20 miles per gallon to kilometers per liter has been calculated by multiplying 20 miles per gallon by 0.4251 and the result is 8.5028 kilometers per liter.

2) 65 miles per hour = 29.0576 meters per second  

Formula: multiply the value in miles per hour by the conversion factor '0.44704'.  

So, 65 miles per hour = 65 × 0.44704 = 29.0576 meters per second.

//appreciate if marked it as brainliest//

Answer: 2 1/4

Step-by-step explanation: theirs 2 whole so with that theirs another circle cut in 4th's and 1 is shaded so 1/4.

Answer: choice c , 2 and 1 over 4

Step-by-step explanation: as the first 2 circles are fully shared but only one 1 over 4 from the third circle is shaded so 2 and 1 over 4 as a mixed numbers . Which means 2 full circles and 1 over 4 of the third circle . HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .

The probability that you win at least one prize is 17/45.

The total number of ways to draw two numbers from 10 is given by the combination formula:

C(10,2) = 10!/((10-2)!*2!) = 45

This means there are 45 possible outcomes for the lottery drawing.

The number of ways to draw two numbers from the remaining 8 tickets (excluding tickets numbered 1 and 2) is given by:

C(8,2) = 8!/((8-2)!*2!) = 28

This means that there are 28 outcomes in which neither of your tickets win a prize.

So the probability that you win at least one prize is equal to 1 minus the probability that you win no prizes:

P(win at least one prize) = 1 - P(win no prize) = 1 - 28/45 = 17/45

Therefore, the probability that you win at least one prize is 17/45.

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Answer:

Arc BC = 117°

Step-by-step explanation:

Angle D is an inscribed angle that intercepts arc ABC. According to the Inscribed angle theorem of a circle, m<D = ½ of arc ABC.

Thus,

104° = ½(AB + BC)

104° = ½(91° + BC)

Multiply both sides by 2

104*2 = 91 + BC

208 = 91 + BC

Subtract both sides by 91

208 - 91 = BC

117 = BC

Arc BC = 117°

Al-Fatihah is an Islamic prayer recited during the five daily prayers. Comparing radio and television in reading Al-Fatihah from its beginning requires an analysis of how each medium conveys the prayer to its audience. Radio precedes television in reading Al-Fatihah from its beginning.

This is because radio broadcasting began in the early 1900s while television broadcasting began in the late 1940s.

This delay can range from a few seconds to a few minutes depending on several factors such as the geographical location of the audience, the strength of the signal, and the quality of the receiver. Therefore, the time difference between radio and television in reading Al-Fatihah can vary depending on the factors mentioned above.

Mathematically, the time difference between radio and television can be calculated using the formula: d = s / tWhere d is the distance between the transmitter and the receiver, s is the speed of the signal, and t is the time it takes for the signal to reach the receiver.

In this case, d is the distance between the broadcasting station and the audience, s is the speed of the signal which is constant (i.e., the speed of light), and t is the time it takes for the signal to reach the audience. Since the speed of light is approximately 299,792,458 m/s, the time it takes for the signal to reach the audience can be calculated using the following formula:t = d / s

Therefore, the time difference between radio and television in reading Al-Fatihah can be calculated by subtracting the time it takes for the radio signal to reach its audience from the time it takes for the television signal to reach its audience. This difference can range from a few milliseconds to a few minutes depending on the factors mentioned above.

In network concepts, the time difference between radio and television in reading Al-Fatihah can be affected by the bandwidth of the network. The bandwidth is the amount of data that can be transmitted over a network in a given time. If the bandwidth is low, it can cause a delay in the transmission of the signal which can affect the time difference between radio and television.

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1. The probability of selecting exactly one tank with high-viscosity material is 0.

2. The probability of selecting at least one tank with high-viscosity material is 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is 0.25.

1. The probability of selecting exactly one tank with high-viscosity material is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 4, x = 1, and p = 24/24 = 1. Therefore, P(X = 1) = (4C1)1^1(1-1)^4-1 = 0.

2. The probability of selecting at least one tank with high-viscosity material is calculated by the complement rule, P(X > 0) = 1 - P(X = 0). In this case, P(X > 0) = 1 - (4C0)1^0(1-1)^4-0 = 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 8, x = 2, and p = 24/24 = 1. Therefore, P(X = 2) = (8C2)1^2(1-1)^8-2 = 0.25.

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At least 75% of the flights (or 15 out of the 20 flights) will last between 3 days and 11 days, according to Chebyshev's Theorem.

Chebyshev's Theorem states that for any given number k greater than 1, at least (\(1-\frac{1}{k^2}\)) of the data values in any data set will fall within k standard deviations of the mean.

In this case, we can use Chebyshev's Theorem to determine the minimum number of flights that lasted between 3 and 11 days.

Given:

Mean (μ) = 7 days

Standard Deviation (σ) = 2 days

To find the number of flights within the range of 3 to 11 days, we need to calculate how many standard deviations away from the mean these values are.

Lower Bound:

Value = 3 days

Number of standard deviations away from the

\(mean = \frac{(Value - Mean)}{ Standard Deviation}\)

\(mean =\frac{(3 - 7) }{2}\)

\(mean =\frac{-4}{2}\)

\(mean = -2\)

Upper Bound:

Value = 11 days

Number of standard deviations away from the

\(mean = \frac{(Value - Mean)}{Standard Deviation}\)

\(mean = \frac{(11 - 7)}{2}\)

\(mean = \frac{4}{2}\)

\(mean = 2\)

According to Chebyshev's Theorem, the minimum proportion of data values within k standard deviations of the mean is given by \((1- \frac{1}{k^2} )\).

So, we need to determine the proportion of data within 2 standard deviations, which is k = 2.

Proportion within 2 standard deviations = \(1-\frac{1}{2^2}\)

\(=1-\frac{1}{4}\)

\(= 1 - 0.25\)

\(= 0.75\)

Now, we can find the percentage of \(0.75\):

\(= 0.75\times 100\)

\(= 75\%\)

Therefore, at least 75% of the flights (or 15 out of the 20 flights) will last between 3 days and 11 days, according to Chebyshev's Theorem.

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The first five digits after the decimal point when 0.463 is written out in full are 46333.

It is typically represented by a period (.) or a comma (,), depending on the country or language.

To write out 0.463 in full, we can start by writing the digits to the left of the decimal point:

0

Then we can multiply the fraction 0.463 by 10 to get the next digit:

0.463 × 10 = 4.63

So the digit to the right of the decimal point is 4.

We can repeat this process by multiplying the fraction 0.63 (the part to the right of the decimal point) by 10 to get the next digit:

0.63 × 10 = 6.3

So the next digit to the right of the decimal point is 6.

We can repeat this process for the remaining digits to get:

0.3 × 10 = 3

So the next digit to the right of the decimal point is 3.

0.0

4

6

3

3

Therefore, the first five digits after the decimal point when 0.463 is written out in full are 46333.

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The value of pi is known to over 31 trillion decimal places, thanks to the use of powerful computers and sophisticated algorithms.

The history of pi dates back thousands of years, and over time, various civilizations have attempted to calculate its value with varying degrees of accuracy. One of the most inaccurate versions of pi was recorded by the ancient Babylonians around 2000 BC.

The Babylonians calculated the value of pi as 3.125, which is off by more than 6% from the actual value. It is believed that the Babylonians arrived at this value by using a rough approximation of a circle as a hexagon. They measured the perimeter of the hexagon and divided it by the diameter to get their approximation of pi.

This value was later refined by the ancient Egyptians and Greeks, who were able to calculate pi with greater accuracy. The Greek mathematician Archimedes, for instance, was able to calculate pi to within 1% accuracy by using a method of exhaustion.

It wasn't until the development of calculus in the 17th century that mathematicians were able to derive an exact formula for pi. Today, the value of pi is known to over 31 trillion decimal places, thanks to the use of powerful computers and sophisticated algorithms.

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Answer:

58

Step-by-step explanation:

its simple

Hope this help you

Red

The length (in centimeters) of the side PR of the right triangle is 60 centimeters.

Given:

Find:

Solution:

To find the length of the right triangle, we know that we always use the Pythagoras theorem.

So, as Q is having the right angle that means its opposite side is the hypotenuse.

Therefore, the opposite side is the PR because it does not contains Q.

So, the formula for finding the length using Pythagoras theorem is as follows:

\((\text{PR})^2=(\text{PQ})^2+(\text{QR})^2\)

\((\text{PR})^2=(36)^2+(48)^2\)

\((\text{PR})^2=1296+2304\)

\(\text{PR}=\sqrt{3600}\)

\(\text{PR}=60\)

Hence, the length (in centimeters) of the side PR of the right triangle is 60 centimeters.

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Answer: Answer is in the steps.

Step-by-step explanation:

She can number the number-line from 1 to 12 and divide it evenly by 4 and see how many groups of 4 she has . For example, starting from 1 to 4  is one jump, starting from 4 to 8  is another jump, and from 8 to 12 is another jump and that is it because 12 is the largest number,which means she has 3 groups of 4. And  12 divide by 4 is indeed 3.

Answer:

Maria can plot the points 0 and 12 on the number line, then divide the distance between them into 4 equal parts. The location of the point closest to zero is the result of the division operation. (It will be 3 on the number line.)

Answer:

11.17

120-8.30 an then ÷10

Answer:

120 - (10b) = $8.30

Step-by-step explanation:

The speed of the kayak in component form is approximately 3.112 meters per second in the east-west direction and 7.368 meters per second in the north-south direction.

The speed of the kayak can be represented in component form, which consists of two perpendicular components: one in the east-west direction (x-component) and the other in the north-south direction (y-component).

Given that the kayak is traveling at a speed of 8 meters per second in the direction of S 67 degrees W, we can use trigonometry to determine the x-component and y-component of the speed.

The x-component represents the east-west direction and can be calculated using the cosine function. The y-component represents the north-south direction and can be calculated using the sine function.

To calculate the x-component:

x-component = speed * cosine(angle)

x-component = 8 * cosine(67 degrees)

x-component ≈ 8 * 0.389

x-component ≈ 3.112 meters per second (rounded to three decimal places)

To calculate the y-component:

y-component = speed * sine(angle)

y-component = 8 * sine(67 degrees)

y-component ≈ 8 * 0.921

y-component ≈ 7.368 meters per second (rounded to three decimal places)

Therefore, the speed of the kayak in component form is approximately 3.112 meters per second in the east-west direction and 7.368 meters per second in the north-south direction.

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