(15) The ratio of boys to girls at the school is 3:5. If there are 160 students at 1 point the school, how many of them are girls? (Do not include any words in your answer.) Your answer​

The number of steps he would have to take to make the cut for the top 5% for his distribution is 12,031.5.

The number of steps he would have to take to make the cut for the top 5% for his distribution is 12,031.5.

Suppose that the distribution of the number of steps he takes is normally distributed with a mean of 10,000 and a standard deviation of 1,500 steps. So, the population parameters are:

Mean=μ=10,000

Standard Deviation=σ=1,500

We need to find the number of steps he would have to take to make the cut for the top 5% for his distribution.

Step 1: We need to find out the z-score for the top 5% of the distribution.

We can find out the z-score for the top 5% of the distribution using the standard normal distribution table. The table value of z for 0.05=1.645. Check the attachment.

Step 2: We can use the z-score formula to find out the value of X for the top 5% of the distribution.

z=(X-μ)/σ

Rearranging the above equation, we get:

X=μ+z.σ

X=10,000+1.645×1,500

X=12,031.5

Therefore, It would take him 12,031.5 steps to make the top 5% for his distribution.

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The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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Answer:

d, 45 degrees

Step-by-step explanation:

a triangles angles add up to 180 we already have 90 so 180 - 90 = 90 and the two other angles are equal so 90÷2 is 45

Answer:

The possible number of students in Mrs. Hayko's class is limited to 15 or 30, as higher multiples of 15 would exceed the desired class size.

Step-by-step explanation:

a)

Let 'x' be the total number of students in Mrs. Hayko's class.

One-third of the students walk to school: (1/3)x.

The remaining students who do not walk to school: (2/3)x.

Four-fifths of the non-walking students take the bus: (4/5) * (2/3)x.

Simplify to find the fraction of students taking the bus: (8/15)x.

b)

Consider different values for 'x' to find a whole number of students taking the bus.

Start with a small number, such as x = 15.

Calculate the number of students taking the bus using (8/15)x.

If the result is a whole number, it's a possible class size.

Repeat with different values of 'x' until a whole number is obtained.

The possible number of students in Mrs. Hayko's class could be 15, 30, or any other multiple of 15.

Add 5 x 3 + 7

5 x 3 + 7
15 + 7
22

Answer:

Alternatively, you may use addition to solve

Step-by-step explanation:

5+5 = 10 and 5+7 = 12, and we know that 10+10 = 20

Just add the number 2 from the number 12 to 20, and you have the same answer

$4,750 is the amount Ramel has to pay back after 5 years.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Ramel borrows $4,000 from his local credit union, to be repaid with 3.75% annual interest over 5 years.

Now let us find the interest by multiplying the amount borrowed (4,000 dollars) by the annual interest rate (3.75%) and then multiplying the result by the number of years (5)

4,000 × 0.0375 × 5 = 750

So, Ramel will have paid 750 dollars in interest over the 5-year period.

Now add the amount of interest to the original amount for total amount

4,000 + 750 = 4,750

Hence,  4,750 is the amount Ramel has to pay back after 5 years.

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Each model should be produced on a weekly basis to maximize net profit is $75,900.

What is Net profit?

In both business and accounting, net income or profit is an entity's revenue less cost of goods sold, costs, depreciation and amortisation, interest, and taxes for a certain accounting period.

As given,

Number of products sold:

T ≥ 1.5G

Maximize Profit Z = 150T + 130G

Labor Constraint:

Labor hours Available:

Production Department:

Number of labor hours available per day = 58 × 7 = 406

Number of days in a week = 5

Number of lobor ours available per week = 406 × 5 = 2030

Assembly Department:

Number of labor hours available per day = 25 × 7 = 175

Number of days in a week = 5

Number of labor hours available per week = 175 × 5 = 875.

Labor hours Required:

Labor hours required for G1 model:

Labor hours required at Production department = 3.5G

Labor hours required at assembly department = 2G

Labor hours required for T1 model:

Labor hours required at Production department = 4T

Labor hours required at Assembly department = 1.5T

Total labor hours required at Production department = 3.5G + 4T

Total labor hours required at Assembly department = 2G + 1.5T.

Constraint:

Labor hours required ≤ Labor hours Available.

Production department Labor constraint

3.5G + 4T ≤ 2030

Assembly department Labor constraint:

2G + 1.5T ≤ 875

The function:

Maximum Profit Z = 150T +130G

Constraint:

3.5G +4T ≤ 2030

2G + 1.5T ≤ 875

T ≥ 1.5G

Suppose that for example:

10.5G +12T = 6090

 16G + 12T = 7000

Solve both equations simultaneously,

5.5G = 7000 - 6090

5.5G = 910

    G = 910/5.5

    G = 363

Since, T > G

Hence,

T = 363,

G = 165

Calculate Profit:

150T + 130G = 150 × 363 + 130 × 165

                     = 54450 + 21450

                     = 75900

Hence, each model should be produced on a weekly basis to maximize net profit is $75,900.

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Answer: 6x-8

Step-by-step explanation:

Answer:

So, cost of 1 pair of shorts =$12

Step-by-step explanation:

Let cost of 1 pair of jeans =x

Cost 1pair of shorts =y

cost of 1 pair of shirts=z

We can set up equations as

x+4 y+2 z=84

2 x+1 y+3 z=76

x+2 y+z=52

Solve the equations for y.

Take first and second equations multiply first equation by -2 and add it with second equation.

-2 x-8 y-4 z=-168

2 x+1 y+3 z=76

Add them, it gives -7 y-z =-92

Now, take second and third equations, multiply the third equation by -2 then add them together.

2 x +1 y +3 z =76

-2 x-4 y-2 z=-104

Add them together,

-3 y +z =-28

Now, take the -7 y -z =-92 and -3 y +z =-28

Add the equations

-10 y = -120

Divide both sides by -10

y =12.

So, cost of 1 pair of shorts =$12

z=8

The distance between 1.5 and any point,n,on a number line is |1.5 - n|

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

Points = n and 1.5

The distance between these points is the absolute difference between them

This is represented with the following equation

Distance = |1.5 - n|

Hence, the distance is |1.5 - n|

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(b) No, The branch manager's argument that dispatching buses every 0.5 minutes will reduce the average traveling time (a round trip) to 3.5 minutes is not correct.

To calculate the average time, we need to consider the time it takes for the bus to travel to the airport and back, as well as the time spent waiting for the bus.

If buses are dispatched every 3 minutes, and the average traveling time (a round trip) is 21 minutes, it means that passengers spend 18 minutes waiting for the bus (21 minutes - 3 minutes of traveling time).

If buses are dispatched every 0.5 minutes, the waiting time will be significantly reduced. However, the traveling time remains the same at 21 minutes for a round trip.

Therefore, the average traveling time will not be reduced to 3.5 minutes but will remain at 21 minutes (assuming the traveling time remains constant).

(c) The average traveling time, following the branch manager's suggestion of dispatching buses every 0.5 minutes, would still be 21 minutes.

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Complete question:

The Avis Company is a car rental company and is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 3 minutes. The average traveling time (a round trip) is 21 minutes.

(a) The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank).

c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time ____(mins) (enter the numbers only)

Answer:

Step-by-step explanation:

Total number of birds = 313

We have equations below based on given:

s = c + 15

Substituting m, g and s as above in the last equation and finding the value of c:

Then finding the other values:

The correct option H0: µD ≥ 0,HA: µD < 0, is used to determine whether the first population's mean is lower than the second population's mean, a set of hypotheses.

Paired testing, commonly referred to as auditing, is a practical and easy technique to determine whether and how discrimination is present.

Thus, µD ≥ 0,HA: µD < 0, is used to determine whether the first population's mean is lower than the second population's mean, a set of hypotheses.

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Answer:

Step-by-step explanation:

what do u mean i domt rlly inderdstnd

Answer:

$16200

Step-by-step explanation:

24 times 350=8400

8400+7000+800

Answer:

SD=10

Step-by-step explanation:

S=the intersection of the medians

SD=JD/3

SD=30/3

SD=10

The Vamers live on a corner lot. Often, children cut across their lot to save walking distance. the walking distance that is saved by cutting across their property instead of walking around the lot is 20 feet (to the nearest integer)

information given in the question

hypotenuse = 48 feet

opposite = x

adjacent = x + 6

The problem is solved using the Pythagoras theorem is applicable to right angle triangle.  the formula of the theorem is

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

let x be the required distance

48² = x² + (x+6)²

2304 = x² + x² + 12x + 36

equating to zero

0 = x² + x² + 12x + 36 - 2304

0 = 2x² + 12x - 2268

2x² + 12x - 2268 = 0

x = 30.808  OR   -36.808

taking the positive value, x = 30.808 feet

adjacent = x + 6 = 30.808 + 6 = 36.808

The total distance

= adjacent + opposite

= 20.808 + 36.808

= 67.616

walking distance saved

= total distance - hypotenuse

= 67.616 - 48

= 19.616

= 19.62 feet (to the nearest hundredth)

= 20 feet (to the nearest integer)

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Answer:

$0.49

Step-by-step explanation:

First you have to divide $5.88 divded by 12 to figure out how much each penicl cost.

Answer:

System of Equations

c + r = 32 ..... Equation 1

2c + 4r = 72......... Equation 2

We have 28 chickens and 4 rabbits

Step-by-step explanation:

Let the number of chickens be represented by c

The number of rabbits be represented by r

From the question, John counts:a total of 32 heads

32 heads = a total of 32 animals

Hence:

c + r = 32....... Equation 1

c = 32 - r

Also, John counts:

A total of 72 legs in his backyard.

Chickens have: 2 legs

Rabbits have: 4 legs

Hence:

2c + 4r = 72......... Equation 2

System of Equations is:

c + r = 32 ..... Equation 1

2c + 4r = 72......... Equation 2

Lets us substitute 32 - r for c in Equation 2

2(32 - r) + 4r = 72

64 - 2r + 4r = 72

Collect like terms

- 2r + 4r = 72 - 64

2r = 8

r = 8/2

r = 4

This means we have 4 rabbits

Note:

c = 32 - r

r = 4

c = 32 - 4

c = 28

Hence, we have 28 chickens

When conducting a survey about choosing vacation destinations, Megan should consider using anonymity, confidentiality, or assurance of privacy in order to get reluctant respondents to provide honest information. This can include ensuring that respondents are not required to provide their names or contact information, or guaranteeing that their responses will not be shared with anyone else without their permission.

Additionally, Megan could assure respondents that their responses will be kept confidential, and that their participation in the survey will not have any negative consequences for them. By taking these steps, Megan can encourage reluctant respondents to feel more comfortable sharing their honest opinions and preferences.

Megan should establish rapport and ensure anonymity in order to get reluctant respondents to provide honest information. By creating a comfortable environment and ensuring the respondents that their information will be kept confidential, Megan can increase their willingness to participate and share honest opinions.

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Therefore, the sample standard deviation of the given numbers 4, 9, 5, 8, 7 is approximately 2.07.

To find the sample standard deviation of a set of numbers, we can use the following steps:

Calculate the mean (average) of the numbers: (4 + 9 + 5 + 8 + 7) / 5 = 33 / 5 = 6.6

Subtract the mean from each number and square the result:

(4 - 6.6)^2 = (-2.6)^2 = 6.76

(9 - 6.6)^2 = (2.4)^2 = 5.76

(5 - 6.6)^2 = (-1.6)^2 = 2.56

(8 - 6.6)^2 = (1.4)^2 = 1.96

(7 - 6.6)^2 = (0.4)^2 = 0.16

Calculate the sum of the squared differences: 6.76 + 5.76 + 2.56 + 1.96 + 0.16 = 17.2

Divide the sum of squared differences by (n - 1), where n is the number of data points: 17.2 / (5 - 1) = 4.3

Take the square root of the result to get the sample standard deviation: √4.3 ≈ 2.07

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The system of quadratic equations obtained on solving general equation of parabola are

a. 5=36a - 6b +c

   -2=64a+8b+c

    3=16a+4b+c

b. 1=289a+17b+c

   -1=81a-9b+c

  2=11025a+105b+c

the equation parabola

the general equation of Parabloa is written as-

y=a\(x^{2}\)+bx+c

if the parabola passes through the point. then this point must satisfy the equation of the parabola. so, by putting the value of points we get a set equations-

5=a\(6^{2}\)+b(-6)+c

5=36a - 6b +c

and for other two points we get equations

-2=64a+8b+c

and 3=16a+4b+c

and for other three points we get the equations

1=289a+17b+c

-1=81a-9b+c

2=11025a+105b+c

so on solving we get these three set of quadratic equations.

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Answer:

....................

Answer:X=3

Step-by-step explanation:

Please give me brainlest

We can use Coulomb's law to calculate the magnitude of the electric field at a distance r away from a point charge Q:

E = k * Q / r^2

where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.

In this problem, we have a point charge Q of -10 nC located at (1.2 cm, 0 cm), and we want to find the x-component of the electric field at a distance r = 5.3 cm away at position (-4.1 cm, 0 cm).

To find the x-component of the electric field, we need to use the cosine of the angle between the electric field vector and the x-axis, which is cos(180°) = -1.

So, the x-component of the electric field at position (-4.1 cm, 0 cm) is:

E_x = - E * cos(180°) = - (k * Q / r^2) * (-1)

where k = 9 x 10^9 N*m^2/C^2 is Coulomb's constant.

Substituting the given values, we get:

E_x = - (9 x 10^9 N*m^2/C^2) * (-10 x 10^-9 C) / (0.053 m)^2

E_x ≈ -30,566.04 N/C

Rounding this to two significant figures and including the appropriate units, we get:

The x-component of the electric field is about -3.1 x 10^4 N/C (to the left).

Answer:

D

Step-by-step explanation:

60 = 2×2×3×5

60 = 2^2×3×5

According to the question, the sample proportion for both samples is 0.30 and 0.20. There is a 75.23% probability that the difference in sample proportions between the two populations is less than or equal to 0.02 based on the given samples.

(a) According to the question, the sample proportion for both samples can be calculated as follows:

For the first population:

Sample Proportion 1 = 0.30

For the second population:

Sample Proportion 2 = 0.20

Therefore, the sample proportion for both samples is 0.30 and 0.20.

(b) To find the probability that the difference in sample proportions is less than or equal to 0.02, we need to calculate the z-score and use the standard normal distribution table or a statistical software.

First, we calculate the standard error using the formula mentioned earlier:

\(\text{Standard Error} = \sqrt{\left(\frac{0.30 \cdot (1 - 0.30)}{200}\right) + \left(\frac{0.20 \cdot (1 - 0.20)}{200}\right)}\)

Substituting the values, we get:

Standard Error ≈ 0.0300

Next, we calculate the z-score using the formula:

\(z = \frac{{0.02 - 0}}{{0.0300}}\)

Calculating the z-score, we get:

z ≈ 0.6667

Now, we can use the standard normal distribution table or a statistical software to find the probability corresponding to the z-score. Let's assume the probability is denoted by P(Z ≤ 0.6667).

Using the table or software, we find that P(Z ≤ 0.6667) ≈ 0.7523.

Therefore, the probability that the difference in sample proportions is less than or equal to 0.02 is approximately 0.7523.

In conclusion, there is a 75.23% probability that the difference in sample proportions between the two populations is less than or equal to 0.02 based on the given samples.

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The probability that each person gets off on a different floor is; 3/32

We are told that there are 4 people on the elevator. We are also told that there are four stops on four different floors. Thus;

Total number of ways to get off on the floors = 4 * 4 * 4 * 4 = 256 ways

Now, the number of ways that each person can get off on a different floor is 4! = 24. Thus, the probability that each person gets off on a different floor is;

P(each person gets off on a different floor) = 24/256 = 3/32

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Confounding may invalidate the conclusions of the study as it can cause a bias that can make the effect of the explanatory variable look larger or smaller than it actually is.

This means that the relationship between alcohol drinking status and incidence of lung cancer is influenced by  After the classification of smokers and non-smokers, a separate analysis can be done to find the effect of alcohol drinking on lung cancer in both groups.

Explanatory and Confounding Variable in the study :In the given study, the explanatory variable is obesity and the response variable is coronary disease. Whereas, the confounding variable is hypertension and diabetes because these diseases are associated with obesity. The confounding variable can invalidate the conclusions of the study as it can affect the relationship between obesity and coronary disease .To eliminate the effect of the confounding variable, the study can be changed in the following ways.

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Answer: 59.2 seconds

Step-by-step explanation: