Aisha wants to ride her bicycle 18.2 miles this week. She has already ridden 5 miles. If
she rides for 4 more days, write and solve an equation which can be used to
determine m, the average number of miles she would have to ride each day to meet
her goal.

The surface area of the rectangular prism is 340 square units.

To find the surface area of a rectangular prism, you need to calculate the area of each face and then add them together. The formula for the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
where l, w, and h represent the length, width, and height of the prism.
To organize and visualize the faces of the rectangular prism, you can draw a net. A net is a 2D representation of the 3D shape, where the faces are laid out flat.
In this case, the net of the rectangular prism would consist of six rectangles, each representing one of the faces. The dimensions of each rectangle would be:
Front rectangle: 10 x 5
Top rectangle: 8 x 5
Left rectangle: 8 x 10
Back rectangle: 10 x 5
Bottom rectangle: 8 x 5
Right rectangle: 8 x 10
To find the area of each rectangle, you simply multiply the length by the width. For example, the area of the front rectangle would be:
Area = 10 x 5 = 50 square units
Once you have found the area of each rectangle, you can add them together to find the surface area of the rectangular prism:
Surface Area = (2 x 50) + (2 x 40) + (2 x 80)
Surface Area = 100 + 80 + 160
Surface Area = 340 square units
Therefore, the surface area of the rectangular prism is 340 square units.

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Given that we have to find the probability of each of the following when we roll a pair of fair dice:

Probability of getting a sum of 1 = 0

Probability of getting a sum of 5= {4}/{36}=0.1111

Probability of getting a sum of 12= {1}/{36}= 0.0278

Explanation: When we roll a pair of dice, there are 36 possible outcomes or events. When we roll the dice, the number on the dice will be an integer from 1 to 6.

The following table represents the possible outcome when we roll a pair of dice.

There is only one way to obtain the sum of 1, i.e., when both dice show 1. As there is only one way, the probability is 0.

There are 4 possible ways to obtain the sum of 5. They are (1,4),(2,3),(3,2),(4,1). The probability is 4/36.

There is only one way to obtain the sum of 12, i.e., when both dice show 6. As there is only one way, the probability is 1/36.

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The statement "the sum of the percent frequencies for all classes in a frequency distribution will always equal" is True.

The sum of the percent frequencies for all classes in a frequency distribution will always equal 100%. This is because the percent frequency for each class is calculated by dividing the frequency of that class by the total number of observations and then multiplying by 100. Therefore, when we add up all the percent frequencies for all the classes, we get the total percentage of observations, which must be 100%.

In a frequency distribution, percent frequencies are calculated by dividing the frequency of each class by the total number of observations and then multiplying by 100. Since all observations are accounted for in the distribution, the sum of the percent frequencies for all classes will always equal 100%.

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a) The sample proportion of U.S. residents over 25 who had a bachelor’s degree or higher is 0.5065

b) Independence: The sample of 77 U.S. residents over 25 must be randomly and independently selected.

c) The 90% confidence interval is: between 39.2% and 62.1%.

a) The sample proportion of U.S. residents over 25 who had a bachelor's degree or higher is calculated by dividing the number of sampled residents with a bachelor's degree or higher by the total number of residents sampled.

Sample proportion = 39/77 = 0.5065 (rounded to four decimal places)

b) The three conditions of the Central Limit Theorem are:

1. Independence: The sample of 77 U.S. residents over 25 must be randomly and independently selected.

2. Sample Size: The sample size must be large enough (n >= 30).

3. Sample Proportion: The sample proportion should not be too close to 0 or 1, which is satisfied as 0.5065 is not too close to either 0 or 1.

c) To construct a 90% confidence interval, we can use the formula:

CI = sample proportion +/- margin of error where the margin of error can be calculated as:

margin of error = critical value ×standard error

The critical value can be obtained from the z-table for a 90% confidence level, which is 1.645.

The standard error can be calculated as: standard error = √(sample proportion × (1 - sample proportion)) / sample size)

Plugging in the values, we get:

standard error = √0.5065 × (1 - 0.5065)) / 77) = 0.0693

Now, we can calculate the margin of error:

margin of error = 1.645 × 0.0693 = 0.114

Therefore, the 90% confidence interval is:

CI = 0.5065 +/- 0.114 = (0.392, 0.621)

So, we can be 90% confident that the true proportion of U.S. residents over 25 who have a bachelor's degree or higher falls between 39.2% and 62.1%.

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This form of the equation is useful because it shows that any periodic function of time can be represented as a sum of sine and cosine functions with different amplitudes and phases.

We can show that acos(wt) + bsin(wt) can be written in the form Rsin(wt + φ) where R and φ are constants and R is the amplitude of the wave.

Using the trigonometric identity sin(a+b) = sin(a)cos(b) + cos(a)sin(b), we can write:

acos(wt) + bsin(wt) = R(sin(wt+φ)),

where R = √(a^2+b^2) and φ = tan⁻¹(b/a).

To see how this works, we can use the values of a = 3 and b = 4 as an example:

acos(wt) + bsin(wt) = 3cos(wt) + 4sin(wt)

R = √(a^2+b^2) = √(3^2 + 4^2) = 5

φ = tan⁻¹(b/a) = tan⁻¹(4/3)

So we can rewrite the equation as:

acos(wt) + bsin(wt) = 5sin(wt + tan⁻¹(4/3))

This form of the equation is useful because it shows that any periodic function of time can be represented as a sum of sine and cosine functions with different amplitudes and phases. It is also helpful in analyzing the properties of waves, such as their amplitude and frequency.

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The total electric force on the 7.00−μC charge is 0.872 N at an angle of 330°.

The force exerted on the 7.00−μC charge by the 2.00−μC charge is

F₁​ ​= \(k_{e}\)q₁q₂​​/r₂ r^

= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(2.00×10^−6C) ×(cos60°i^+sin60°j^​)]/ (0.500m)²

F₁ ​= (0.252i^+0.436j^​)N

Similarly, the force on the 7.00μC charge by the −4.00−μC charge is

F₂​ ​= \(k_{e}\)q₁​q₃/​r² ​​r^

= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(−4.00×10^−6C)​×(cos60°i^−sin60°j^​)]/(0.500m)²

F₂​ ​=(0.503i^−0.872j^​)N

Hence, the total force on the charge 7.00−μC  is

F = F₁​​+F₂​

​=(0.755i^−0.436j^​)N

We can also note the total force as:

F = (0.755N)i^−(0.436N)j^​ = 0.872N

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--This question is incomplete; the complete question is

"Three charged particles are located at the corners of an equilateral triangle, as shown in Figure. Calculate the total electric force on the 7.00−μC charge."--

Answer:

Step-by-step explanation:

The parenthesis can cancel because the lack of anything you can do in them, so that will leave you with 7m + 3 + 7m + 6

Next step is to add like numbers, you should start by adding 7m + 7m, which would be 14m.

Next would be to add 3 + 6, which is nine.

To end this equation, simply put 14m + 9

There is no one-number answer because we do not know what m is. So the equation 14m + 9 is the final answer.

NSO is a statistical organization which tells that there are more males than females. m>f Option A is correct.

Let's first understand what is NSO in Filipinos.

The primary government statistical organization in the Philippines, the National Data Office (NSO), formerly known as the Bureau of Census and Statistics, was in charge of gathering, collating, classifying, creating, publishing, and disseminating general-purpose statistics.

In the Philippines, there will be 100.79 men for every 100 females in 2021. In the Philippines, there are 55.31 million women and 55.74 million men. 49.80% of the population is female, compared to 50.20 % of the male population. In the Philippines, there are 0.43 million more men than women.

The Philippines had a score of 0.783, placing it 19th out of 146 nations in the WEF's 2022 Global Gender Gap Index. This was marginally less than the 2021 value of 0.784 when the Philippines was placed 17th out of 156 nations. The evaluations are based on a 0–1 scale, with 1 denoting ideal gender parity.

Given Question is incomplete Complete the Question here:

8. According to the NSO, there are more female (1) Filipinos than male (m) Filipinos

Which of the following mathematical statement represent the given situation?

a. f<m

b. f>m

C. f=m

d. none of these

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I am not sure if your question is saying f(x) is x² or if it is 2x so I am giving you two answers.

If f(x) is x² the answer for f(g(x))= (x-6)²

If f(x) is 2x the answer for f(g(x))=2x-12

How did I get these answers? For fog, it basically means f(g(x)) so you just plug in what g(x) equals for the variable x in f(x)

Answer:

£o.68 is 16% of £4.25

Step-by-step explanation:

the 16 percent of 4.25

= 16percent ×4.25

= 16/100 ×4.25

=68/100

=£o.68

so,16 percent of 4.25 is £o.68

Answer:

2

Step-by-step explanation:

if you're looking at the table and you heard of rise/run, your rise is -10 if you go down from (6,6) and -5 if you go left to reach (1,-4). That will give you -10/-5 which gives you a positive 2. it would be the same if you went up 10 from (1,-4) and then 5 right to reach (6,6).

As a result, Ana chose 7/8 of a pound of apples , while the Martinez family chose 3 1/2 pounds.

Finding a value of a single unit or the ratio of two values, then using this value to determine the value of a bigger or smaller number, is the unitary method, a problem-solving strategy used in mathematics. The unit method, single unit method, and percentage method are additional names for the unitary approach. The unitary method, which can be used to address issues in a number of disciplines including mathematics, algebra, geometry, and physics, entails using a ratio, proportion, or factor. The approach is founded on the proportionality concept, according to which two ratios or quantities are proportional if they have the same ratio or proportion.

given

Three and a half pounds of apples, which can be expressed as a mixed amount or an incorrect fraction, were harvested by the Martinez family:

3 1/2 = 7/2

Ana selected one-fourth of those apples, so the quantity she selected can be calculated by dividing by the total number of apples selected by the Martinez family:

1/4 × 7/2 = (1 × 7)/(4 × 2) = 7/8

As a result, Ana chose 7/8 of a pound of apples , while the Martinez family chose 3 1/2 pounds.

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The number of World's Finest Chocolate candy bars sold by Jillian, Kate, and Evie were 49.5, 64.5 and 99 respectively

An equation is an expression that shows the relationship between two or more numbers and variables.

A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.

Let x represent the candy sold by Jillian, y represent that of Kate and z represent that of Evie.

Jillian sold 15 candy bars less than Kate. Hence:

x = y - 15         (1)

Evie sold twice as many candy bars as Kate. Hence:

z = 2x                (2)

If they sold two hundred thirteen candy bars total, hence:

x + y + z = 213       (3)

From the three equations:

x = 49.5, y = 64.5 and z = 99

The number of World's Finest Chocolate candy bars sold by Jillian, Kate, and Evie were 49.5, 64.5 and 99 respectively

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Answer: 14 gallons of gasoline.

Step-by-step explanation:

given data:

25(x + 3) = 424

where x is the number of gallon of gasoline needed to purchase.

Solution.

25(x + 3) = 424

first we open the bracket

25x + 75 = 424

collect like terms

25x = 424 – 75

25x = 349

divide both sides by 25

25x/25 = 349/25

x = 13.96

x = 14

mathew needs to get 14 gallons of gasoline.

The surface area of the triangular prism is of 140 cm².

It is the sum of the areas of all faces of a prism. In this problem, the prism has these following faces:

For a rectangle, the area is given by the multiplication of the dimensions, hence:

Ar = 8 x 15 = 120 cm²

For each right triangle, the area is given by half the multiplication of the sides, hence:

At = 2 x 0.5 x 4 x 5 = 20 cm².

Then the surface area of the prism is:

S = 120 cm² + 20 cm² = 140 cm².

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Supposing that the stock increases in 37 days, the 95% confidence interval for the proportion of days JMJ stock increases is: (0.484, 0.7292)

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(\frac{1+\alpha}{2}\).

Supposing that it increases on 37 out of 61 days:

\(n = 61, \pi = \frac{37}{61} = 0.6066\)

95% confidence level

So \(\alpha = 0.95\), z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so \(z = 1.96\).  

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6066 - 1.96\sqrt{\frac{0.6066(0.3934)}{61}} = 0.484\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6066 + 1.96\sqrt{\frac{0.6066(0.3934)}{61}} = 0.7292\)

The ​95% confidence interval for the proportion of days JMJ stock increases is (0.484, 0.7292), in which 0.484 is the lower bound and 0.7292 is the upper bound.

The interpretation is that we are 95% sure that the true proportion of all days in which the JMJ stock increases is between 0.484 and 0.7292.

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Answer:

x = 36

Step-by-step explanation:

x/48 = 48/64

64x = 2304

x = 36

Answer:

#3:  12 + N

Step-by-step explanation:

Adding a number n to 12 results in "a number more than 12."

Thus, the correct answer is #3.

Answer: gay

Step-by-step explanation:

Answer:

7+6x

Step-by-step explanation:

That is the equation in numeral form

The probability P(n < 10 | n is prime) is 4/6, which simplifies to 2/3 or approximately 0.67 (rounded to the nearest hundredth).

To find the probability P(n < 10 | n is prime), we need to determine the number of prime integers less than 10 and divide it by the total number of integers from 1 to 15 that are prime.

The prime numbers less than 10 are 2, 3, 5, and 7. So, there are 4 prime numbers less than 10.

The total number of integers from 1 to 15 that are prime is 6 (2, 3, 5, 7, 11, and 13).

As a result, the chance P(n 10 | n is prime) is 4/6, which can be expressed as 2/3 or, rounded to the nearest hundredth, as around 0.67.

Thus, 0.67 is the answer.

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The equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

What are parallel lines?

Parallel lines are coplanar infinite straight lines that do not intersect at any point in geometry. Parallel planes are planes that never meet in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance.

To find an equation for the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5),

We use the equation of a line: v = v₀ + tv₁

where v₀ and v₁ are points on the line and t is a real number.

Substitute the given points in for v₀ and v₁: v = (0, 1, −8) + t(6, 7, −5)

This equation of the plane is Ax + By + Cz = D, where A, B, C, and D are constants to be determined.

Equate the components:

0x + 1y - 8z = D....(1)

6x + 7y - 5z = D...(2)

Now, we subtract equation (1) from (2) and we get

6x - 0x + 7y - 1y - 5z + 8z = 0

6x + 6y + 3z = 0

Hence, the equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

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The probability that you and your friend both have the same two numbers is approximately 0.4823, or about 48.23%.

If you and your friend each roll two dice, there are two possible cases:

You both roll doubles (i.e., both dice show the same number).

You both roll non-doubles (i.e., the two dice show different numbers).

Let's calculate the probability of each case separately:

The probability of rolling doubles on one die is 1/6, since there are six possible outcomes (1, 2, 3, 4, 5, or 6) and only one of them will result in doubles. The probability of rolling doubles on both dice is the product of the probabilities of rolling doubles on each die, which is (1/6) * (1/6) = 1/36. Therefore, the probability that you and your friend both roll doubles is (1/36) * (1/36) = 1/1296.

The probability of rolling non-doubles on one die is 5/6, since there are five possible outcomes (2, 3, 4, 5, or 6) that will result in non-doubles, out of a total of six possible outcomes. The probability of rolling non-doubles on both dice is the product of the probabilities of rolling non-doubles on each die, which is (5/6) * (5/6) = 25/36. Therefore, the probability that you and your friend both roll non-doubles is (25/36) * (25/36) = 625/1296.

Therefore, the overall probability that you and your friend both have the same two numbers is the sum of the probabilities of the two cases:

1/1296 + 625/1296

= 626/1296

= 0.4823 (rounded to four decimal places)

So, the probability that you and your friend both have the same two numbers is approximately 0.4823, or about 48.23%.

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Answer: A

Step-by-step explanation:2020 edg

Answer: the answer is A

Step-by-step explanation:

just did it on edge

the return Harsh realized from holding the stock for the given period is approximately 6.69%

To calculate the return realized from holding the stock for the given period, we need to consider both the capital gain/loss and the dividend received.

First, let's calculate the capital gain/loss:

Initial purchase price = Rs. 290.9

Selling price = Rs. 280.35

Capital gain/loss = Selling price - Purchase price = 280.35 - 290.9 = -10.55

Next, let's calculate the dividend:

Dividend received = Rs. 30

To calculate the return, we need to consider the total gain/loss (capital gain/loss + dividend) and divide it by the initial investment:

Total gain/loss = Capital gain/loss + Dividend = -10.55 + 30 = 19.45

Return = (Total gain/loss / Initial investment) * 100

Return = (19.45 / 290.9) * 100 ≈ 6.69%

So, the return Harsh realized from holding the stock for the given period is approximately 6.69%. None of the provided options matches this value, so the correct answer is not among the options given.

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Step-by-step explanation:

3 - 4 + 16 - 10 + 2

= 7

hope it helps :)

Step-by-step explanation:

3 − 4 + 16 − 10 + 2 [B.O.D.M.A.S rule] (First addition)

= 3 + 16 + 2 - 4 -10

= 21 - 14. (Then subtraction)

= 7 (Ans)

Yes, I agree with Tyler. The system of equations given by x+y=5 and x+y=7 represents two parallel lines in a 2D coordinate plane.

The first equation x+y=5 represents a line passing through the points (5, 0) and (0, 5).

The second equation x+y=7 represents a line passing through the points (7, 0) and (0, 7).

Since the lines are parallel and have the same slope, they never intersect, and there is no solution that satisfies both equations simultaneously.

Therefore, Tyler is correct in saying that the system has no solution.

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Step-by-step explanation:

Use Pythagorean theorem to find the base of the right triangle

221^2 = 195^2 + b^2

b = 104 km

triangle area = 1/2 base * height =  1/2 * 104 * 195 = 10140 km^2

Now multiply by the height to find volume

10140 km^2  * 15 km  = 152100 km^3

In both the Vendor Compliance at Geoffrey Ryans (A) and Operational Execution at Arrows Electronics cases, there are common problems and challenges. These include issues related to vendor management.

One of the key problems faced by both companies is vendor compliance. This refers to the ability of vendors to meet the requirements and standards set by the company. Both cases highlight instances where vendors fail to meet compliance standards, leading to disruptions in the supply chain and operational inefficiencies. This problem affects the overall performance and profitability of the companies.

Another challenge faced by both companies is operational execution. This encompasses various aspects of operations, including inventory management, order fulfillment, and delivery. In both cases, there are instances where operational execution falls short, leading to delays, errors, and customer dissatisfaction. This challenge requires the companies to streamline their processes, improve communication and coordination, and enhance overall operational efficiency.

Overall, the problems and challenges in both cases revolve around effective vendor management, supply chain optimization, and operational excellence. Addressing these issues is crucial for both companies to improve their performance, meet customer demands, and maintain a competitive edge in the market.

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Answer: 0 = 0

Step-by-step explanation:

The balance increase for card i is $89.24 greater than the balance increase for card h. Card i has a balance of $1,522.16 and an interest rate of 12.05%, compounded monthly. Now, we can calculate the balance for both cards after three years using the compound interest formula: A = P(1 + r/n)^(nt)

Given, Card h has a balance of $1,186.44 and an interest rate of 14.74%, compounded annually.

Card i has a balance of $1,522.16 and an interest rate of 12.05%, compounded monthly. Now, we can calculate the balance for both cards after three years using the compound interest formula: A = P(1 + r/n)^(nt),

where A = final amount, P = principal (initial balance), r = annual interest rate (as a decimal), n = number of times compounded per year, t = time (in years)

For card h,

A = 1186.44(1 + 0.1474/1)^(1*3)

A = 1883.99

For card i, A = 1522.16(1 + 0.1205/12)^(12*3)

A = 1973.23

Therefore, the balance for card i will have increased more than that of card h, and the difference in the increase is: 1973.23 - 1883.99 = 89.24

The balance increase for card i is $89.24 greater than the balance increase for card h. Hence, the required answer is card i.

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