The Following Contingency Table Shows The Number Of Games Won And Lost At Two Locations Where A Local (2024)

Answer: To calculate the total amount of interest to be paid, we need to first find the amount of the loan and then multiply it by the interest rate.

The amount of the loan is the cost of the car minus the deposit:

$24,000 - $7,000 = $17,000

The interest rate is 12% per annum, so over two years, the rate is 12% / 2 = 6% per annum.

The total amount of interest to be paid is the loan amount multiplied by the interest rate:

$17,000 * 6% = $1,020

Therefore, the total amount of interest to be paid is $1,020.

Step-by-step explanation:

The final value of an investment of £2500 that earns 0.5% per month for the first six months but then depreciates at a rate of 0.25% per month for the next 9 months is £2511.31.

Investment Value Calculation

We can calculate the final value of the investment by finding the interest earned in the first six months and then subtracting the interest lost in the next nine months.

The interest earned in the first six months is calculated as follows:

£2500 * (0.5/100) * 6 months = £75

So the investment will be worth £2500 + £75 = £2575 after the first six months.

The interest lost in the next nine months can be calculated as follows:

£2575 * (0.25/100) * 9 months = £63.69

So the final value of the investment will be £2575 - £63.69 = £2511.31.

Therefore, the final value of an investment of £2500 that earns 0.5% per month for the first six months but then depreciates at a rate of 0.25% per month for the next 9 months is £2511.31.

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The expression when simplified is (bc)²

How to simplify the expression

From the question, we have the following parameters that can be used in our computation:

b2c2

Represent the expression using proper exponents

So, we have the following representation

b²c²

Apply the law of indices

This gives

(bc)²

Hence, the solution is (bc)²

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Johnny should work to pass his calculus class to ensure that he has the necessary mathematical skills to succeed in his future career.

Johnny should work to pass his calculus class because it is a foundational subject that will serve him well in his future as a meteorologist. While it is true that meteorologists use computers to analyze data and make predictions, a solid understanding of mathematical concepts, including calculus, is still essential to be able to understand and interpret the results produced by these computer programs.

Calculus is used to model and analyze weather patterns, atmospheric processes, and climate change. By studying calculus, Johnny will gain a deeper understanding of the mathematical models used in meteorology, allowing him to make more informed decisions about which models are best suited for a particular situation, and how to use the models to generate accurate predictions.

In addition, a good understanding of calculus will allow Johnny to develop and improve upon existing models, helping to advance the field of meteorology. This could lead to a better understanding of the weather and more accurate predictions, which could help communities prepare for and respond to severe weather events.

So, even though meteorologists use computers, they still need a strong background in mathematics, including calculus, in order to be effective at their job.

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Answer:

16 miles per day.

Step-by-step explanation:

95-15=80

80/5=16 miles a day.

Answer:

Xavier should bike 11 miles on each of the 6 remaining days.

Step-by-step explanation:

What is unitary method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example,

Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total distance need to travel = 80 miles

Distance already travelled = 14 miles

So, distance remaining

= 80-14

=66 miles

Then, in remaining 6 days he travelled

= 66/6

= 11 miles.

Approximately normal with a mean equal to \mu and a standard deviation equal to \frac{\sigma}{\sqrt{n}}, where n is the sample size. This result is known as the Central Limit Theorem.

According to the Central Limit Theorem, as the sample size increases, the distribution of the sample mean becomes increasingly close to a normal distribution, regardless of the shape of the original distribution.

The Central Limit Theorem is a fundamental result in probability and statistics that states that the distribution of the sum (or average) of a large number of independent, identically distributed random variables approaches a normal distribution.

This result is particularly useful because it provides a way to make probabilistic statements about the distribution of a sample mean, even if the distribution of the underlying data is unknown.

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The inequality to find the least number of bananas is -3x ≤ -27.

What is an inequality?

An Inequality is a mathematical statement states that two expressions are not equal. It is denoted by symbols like < ,>,≤,≥.

Let x be the number of bananas.

You receive -3 points for every banana slips during race.

The total points from slipping banana is atmost -27,

It is given as -3x ≤ -27.

Hence, the inequality to find the least number of bananas is -3x ≤ -27.

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Answer:

Step-by-step explanation:

i. A = 1/2(3.14)(22/2)² = 380/2 = 190

ii. A = (3.14)(8)²(3/4) = 151

iii. A = 1/2(3.14)16/2)² + (9)(16) = 244.5

The probability that the drone will fly more than 4.80 hours is 0.159, or about 15.9%.

The probability that the drone will fly more than 4.80 hours can be calculated using the standard normal distribution, which is a normal distribution with a mean of 0 and a standard deviation of 1. To use this standard normal distribution, we need to transform the original variable (flying time) into a standard normal variable using the following formula:

Z = (X - μ) / σ

where X is the original variable (flying time), μ is the mean (4.76 hours), σ is the standard deviation (0.04 hours), and Z is the standard normal variable.

Plugging in the values, we have:

Z = (4.80 - 4.76) / 0.04 = 1.00

Now that we have the standard normal variable Z, we can use a standard normal table or a calculator to find the probability that Z is greater than 1.00. The probability that Z is greater than 1.00 is equal to 1 - P(Z ≤ 1.00), where P(Z ≤ 1.00) is the cumulative probability that Z is less than or equal to 1.00.

Using a standard normal table (attached below), we find that P(Z ≤ 1.00) = 0.841. Therefore, the probability that the drone will fly more than 4.80 hours is equal to 1 - 0.841 = 0.159, or about 15.9%.

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The value of x is 11.

Given:

2(2x+5)-5 = 2x+7

Use the distributive law to get:

4x+10-5=2x+7

Simplify the left side to get:

4x+5=2x+7

Subtract 2x from both sides and 2 from both sides to get:

2x=2

Divide both sides by 2 to get:

x=1

2(2x-5)-5=2x+7 Apply the distributive property to the left side by multiplying the inside of the parentheses by 2.

(4x-10)-5=2x+7 Simplify the left side.

4x-15=2x+7 Subtract 2x from both sides of the equation.

2x-15=7 Add 15 to both sides.

2x=22 Finally, divide both sides by 2.

x=11

Hence , the value for x is 11.

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Solution for the equation 50-(14+12+2(5)+2(2)+3) is 15. This is achieved through DAMAS rules.

DAMAS (Divide and Average Method of Assignment Scores) is a method of assigning numerical scores to a problem set or exam in mathematics. It involves dividing the total number of points for the problem set or exam into smaller parts and then assigning an average score to each part.

Simplify the equation by solving the innermost parentheses. 2(5) = 10 and 2(2) = 4.

The equation becomes 50-(14+12+10+4+3).

Add up the numbers inside the parentheses. 14+12+10+4+3 = 43.

Subtract 43 from both sides of the equation. 50-43 = 7.

Add the 7 to the left side of the equation to get the final answer. 7+43 = 50. The final answer is 15.

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140 -133.75 = $6.25 tip

6.25/133.75 = 25/535= 5/107 = about 0.046729

= 0.047

= about 4.7% tip

A regular polygon with an exterior angle measuring 40 does not exist.

What is the exterior angle?

Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it. The measure of an exterior angle is equal to the sum of the two internal opposite angles.

The formula for finding the number of sides in a regular polygon is:

n = 360 / (180 - x),

where x is the measure of one exterior angle.

In this case, x = 40. So,

n = 360 / (180 - 40) = 360 / 140 = 9 / 2 = 4.5

Since the number of sides in a polygon must be a whole number, the number of sides in this polygon is not possible.

Therefore, a regular polygon with an exterior angle measuring 40 does not exist.

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The average rate of change of demand to change in price is -21 boxes. the instantaneous rate of change of demand when the price is $3 is -18 boxes per dollar and the instantaneous rate of change of demand when the price is $4 is -24 boxes per dollar.

What is the average rate of change of demand to change in price

a. To find the average rate of change of demand for a change in price from $3 to $4, we need to calculate the change in demand and divide by the change in price:

Change in demand = N(4) - N(3) = (90 - 3(4)^2) - (90 - 3(3)^2) = 42 - 63 = -21

Change in price = 4 - 3 = 1

Average rate of change of demand = Change in demand / Change in price = -21/1 = -21

Therefore, the average rate of change of demand for a change in price from $3 to $4 is -21 boxes per dollar.

b. To find the instantaneous rate of change of demand when the price is $3, we need to find the derivative of the demand function N(p) with respect to p and evaluate it at p=3:

N'(p) = -6p

N'(3) = -6(3) = -18

Therefore, the instantaneous rate of change of demand when the price is $3 is -18 boxes per dollar.

c. To find the instantaneous rate of change of demand when the price is $4, we need to evaluate the derivative of the demand function N(p) at p=4:

N'(p) = -6p

N'(4) = -6(4) = -24

Therefore, the instantaneous rate of change of demand when the price is $4 is -24 boxes per dollar.

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Answer:How much to pay after getting a 10% discount = $1,350

Step-by-step explanation: Discount simply mean reduction in prices of something in a given percentage of its actual price. So, how much to pay after getting a 10% discount will be = actual price - discountWhere discount = discount percentage * actual price.

Since we know: Actual price of the motorbike = $1,500Discount = 10% of actual priceDiscount = 10% of 1500 = 10/100 * 1500

Discount = 150 how much to pay after getting a 10% discount = 1500 - 150 = $1,350

Answer:

need a picture

Step-by-step explanation:

sss means side by side by side sas means side angle side and aa means angle angle

A) On Monday a driver purchased 18 gallons of gas for $61.38, then the price of gas per gallon on Monday was $3.41.

B) The next day the price of gas was $3.29 per gallon, the driver would have saved $2.82 if he waited until Tuesday to buy gas.

Part A: To find the price of gas per gallon on Monday, we need to determine the cost per unit of gas. To do this, we divide the total cost by the number of gallons. The formula is:

Price per gallon = Total cost ÷ Number of gallons

Plug in the given values:

Price per gallon = $61.38 ÷ 18 gallons

Perform the division:

Price per gallon = $3.41 per gallon

So the price of gas per gallon on Monday was $3.41.

Part B: To find the amount of money the driver would have saved if he waited until Tuesday to buy gas, we need to find the difference in price per gallon and then multiply that by the number of gallons purchased. The formula is:

Savings = (Price per gallon on Monday - Price per gallon on Tuesday) × Number of gallons

Plug in the given values:

Savings = ($3.41 per gallon - $3.29 per gallon) × 18 gallons

Perform the calculation:

Savings = $2.82

So the driver would have saved $2.82 if he waited until Tuesday to buy gas.

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Answer:

Use the coupon that says 20% off.

Step-by-step explanation:

To find the greater deal, you're going to want to multiply 249 by .20 (since 20% as a decimal is .20) and you'll get $49.80. If you just took $45 off of 249, you'd still have to pay $204. Therefore, 20% off is a better deal.

The probability that a basketball player with an accuracy rate of 70% will miss the first free throw, but make the second one, can be calculated using the geometric distribution formula.So, in this case, the probability is 0.7 x 0.3^1 = 0.21, or 21%.

This means that the probability of missing the first free throw, but making the second one, is 21%. This probability is lower than the probability of making the first free throw, which is 70%. This lower probability reflects the fact that a player is likely to make the first free throw due to their higher accuracy rate, and then make the second free throw with a lower accuracy rate.

In conclusion, the probability that a basketball player with an accuracy rate of 70% will miss the first free throw, but make the second one, is 21%. This probability is lower than the probability of making the first free throw due to the player’s higher accuracy rate.

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Answer:

x = 8

Step-by-step explanation:

(17x + 14) and (4x - 2) are same- side interior angles and sum to 180° , so

17x + 14 + 4x - 2 = 180

21x + 12 = 180 ( subtract 12 from both sides )

21x = 168 ( divide both sides by 21 )

x = 8

Answer:

x = 8

Step-by-step explanation:

The two angles represented by (17x+14) and (4x-2) are a pair of consecutive inner angles formed as a result of the transversal l intersecting lines L nd M

Since :||M, the sum of the measures of these two angles = 180°.

This means:

(17x+14) ° + (4x-2)° = 180°

Expanding brackets on left side:
17x + 14 + 4x - 2 = 180

Grouping like terms
17x + 4x + 14 - 2 = 180

21x + 12 = 180

Subtract 12 both sides:
21x = 180 - 12
21x = 168

x = 168/21

x = 8

Answer:

7

Step-by-step explanation:

Therefore , the solution of the given problem of unitary method comes out to be $20,872.6 is the cost for 28 watches.

What is a unitary method, exactly?

After estimating the size one one little slice, multiply the quantity by two to complete a work using unitary technique. The unit variable method, which is nothing more than an expression, aids in separating a coded unit from a certain group or collection of groups. For instance, the price of 40 pens could be Rs. 4,000 (or $1.01 as well as 400 pounds). It's possible that one country will have total control over the method employed to do this. Almost every living creature has a distinctive quality.

Here,

Given :

Cost for 8 watches for $10,100

and

Cost for 22 of them for $16,400

Cost for one watch :

=> 10100/8

=> 1,262.5

or

=> 16400/22

=> 745.45

For 28 watches cost is :

=> 745.45 * 28

=> 20,872.6

Thus , $20,872.6 is the cost for 28 watches.

Therefore , the solution of the given problem of unitary method comes out to be $20,872.6 is the cost for 28 watches.

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Ginger sold 8 small candles and 6 large candles

What is Linear Equation in Two Variables?

A two-variable linear equation has the following form: ax + by = c where x and y are the variables and a, b, and c are constants. The variables x and y's respective coefficients are constants a and b, while c is a constant term.

Solution:

We can solve this problem using a system of two equations in two variables.

Let x be the number of small candles Ginger sold, and let y be the number of large candles she sold. Then we have:

x + y = 14 (equation 1)

12.5x + 25y = 250 (equation 2)

To solve for x and y, we can use the method of substitution. Rearranging equation 1, we get:

x = 14 - y

Substituting this expression for x into equation 2, we get:

12.5(14 - y) + 25y = 250

Expanding and simplifying, we get:

175 - 12.5y + 25y = 250

12.5y = 75

y = 6

So Ginger sold 6 large candles. To find the number of small candles she sold, we can substitute y = 6 into equation 1:

x + 6 = 14

x = 8

Therefore, Ginger sold 8 small candles and 6 large candles.

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It would take Alberto 5.48 hours to pick 40 bushels of apples alone.This is because he has the same amount of time as when he and Aliyah worked together,

If Aliyah and Alberto together took 5.48 hours to pick 40 bushels of apples, then Alberto alone should be able to pick 40 bushels in the same amount of time. Since Aliyah alone took 14 hours to pick 40 bushels, Alberto should be able to pick 40 bushels in a much shorter amount of time. If Alberto works alone, it would take him 5.48 hours to pick 40 bushels of apples. This is because he has the same amount of time as when he and Aliyah worked together and this is how long it took them to pick 40 bushels. Therefore, it would take Alberto 5.48 hours to pick 40 bushels of apples worked together and this is how long it took them to pick 40 bushels. Therefore, it would take Alberto 5.48 hours to pick 40 bushels of apples.

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The expression describes the number that is 7 to the right of 7 on the number line which is equal to 14. Then the correct options are B and D.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 7 - (7)

Simplify the expression, then we have

⇒ 7 - (-7)

⇒ 7 + 7

⇒ 14

The expression describes the number that is 7 to the right of 7 on the number line which is equal to 14. Then the correct options are B and D.

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The complete question is given below.

Answer:

6

Step-by-step explanation:

give more classifacation

Answer:

-9x² + 5x

Step-by-step explanation:

3x(x-1) - 4x(3x - 2)

simplify using distributive property

3x² - 3x - 12x² + 8x

combine like terms

-9x² + 5x

Answer:

x = -2

Step-by-step explanation:

All points on a vertical line have the same x-coordinate and different y-coordinates. Since all points have the same x-coordinate, and the y-coordinate can be any real number, the equation only specifies the x-coordinate and leaves out y.

x = -2

Slow Joe raised $9315 for his charity, and he raised $8461 more than Fast Freddy, who raised $854 for his charity.

The unitary method is used to find the total cost, total revenue, or total amount of any quantity that is proportional to the number of units.

To find the amount of money Slow Joe raised, we first need to find out how many miles he traveled. Slow Joe rode his bike exactly 4 multiply during the course, and each square represents 25 square miles. This means that Slow Joe traveled

=> 4 * 25 = 100 miles.

Next, we use the unitary method to multiply the amount of money pledged per mile by the number of miles traveled to find the total amount of money raised. In this case, the total amount of money Slow Joe raised would be

=> $93.15 * 100 = $9315.

To find out how much money Fast Freddy raised, we need to first find out how many miles he traveled. Fast Freddy traveled 20% of the course, which means he traveled

=> 20% * 100 = 20 miles.

Next, we use the unitary method to multiply the amount of money pledged per mile by the number of miles traveled to find the total amount of money raised. In this case, the total amount of money Fast Freddy raised would be

=> $42.70 * 20 = $854.

Finally, to find out how much more money Slow Joe raised than Fast Freddy, we subtract the amount of money Fast Freddy raised from the amount of money Slow Joe raised. In this case, the difference would be

=> $9315 - $854 = $8461.

Complete Question:

For the 2021 Las Vegas Charity Bike-A-Thon, Slow Joe's donators pledged a combined total of $93.15 for every mile Joe traveled from start to finish. Slow Joe rode his bike exactly 4 multiply during the course before calling it quits. How much money did Slow Joe raise for his charity? How much more money did Joe raise than Fast Freddy (who raised $42.70 per mile and traveled 20% of the course? You may use a calculator but show all steps. Each square represents 25 square miles.

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Answer:

s = 6.5

Step-by-step explanation:

Points on a line can be found by plugging in values and solving for different variables.

Solving for s

The question tells us that there is some point on this line that has a y-value of 6. In the coordinate pair, s represents the x-value. So, we need to find the x-value when y = 6. To do this, we need to plug 6 into the equation and solve for x.

3(6) - 2x = 518 - 2x = 5

Then, we can subtract 18 from both sides.

-2x = -13

Finally, divide by -2.

x = 6.5

This means that when y = 6, x = 6.5. Thus, the value of s is 6.5.

Graphing the Line

Another way to find the value of s is to graph the equation. Then, find where on the line y = 6. On the graph, you can see that when y = 6, x = 6.5. This once again shows that s = 6.5.