Here is a frequency distribution table (FDT) for a small data set: data value frequency 14 14 15 11 16 23 17 10 18 13 Find the following measures of central tendency: mean (I (Please show your answer to one decimal place.) median (Please enter an exact answer:) mode (Please enter an exact answer: )

The solution is, the percent of error, rounded to the nearest percent is 25%.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

given that,

While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd.

The actual number of cattle in the herd was 600.

now, we have to find the percent of error, rounded to the nearest percent.

so, we get,

Herbert estimated that there were 750 cattle in the herd.

The actual number of cattle in the herd was 600.

so, error = 750 - 600

              = 150

so, we get,

the percent of error = 150 * 100 / 600

                                 = 25%

Hence, The solution is, the percent of error, rounded to the nearest percent is 25%.

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Answer: the present age of son is 15 years, and the present age of father is 45 years.

Step-by-step explanation:

Let the age of son be 'x' and that of his father be 'y'.

So according to the question, the 1st equation that can be formed will be:

y = 3(x) ->(1)

[as father's age is 3 times the age of son]

Now after 5 years:

Age of son = (x+5)

Age of father = (y+5)

So according to the question, the 2nd equation that can be formed will be:

(y+5) = 2.5×(x+5) ->(2)

[as father is now two and half times old as his son]

Substituting the value of equation (1) in (2), we get:

(3x+5) = 2.5×(x+5)

=> 3x + 5 = 2.5x + 12.5

=> 3x - 2.5x = 12.5 - 5

=> 0.5x = 7.5

=> x = 7.5/0.5 = 15

Thus, the present age of son is 15 years.

Note : we can calculate the age of father by putting the value of x in equation (1) or (2):

y = 3(x) = 3 × 15 = 45 (putting x in equation 1)

Thus, the present age of father is 45 years.

Answer

its b

Step-by-step explanation:

43k 67u 88j

"The correct answer is option A." The missing coordinates of point Q are (a, c/2).We are given the coordinates of points P and N as (0, c) and (2a, 0), respectively. We are also given that point Q lies on the same line as points P, Q, and N. We need to find the missing coordinates of point Q.

Since point Q lies on the same line as P, Q, and N, its x-coordinate must be halfway between the x-coordinates of points P and N. That is, the x-coordinate of Q is:

x-coordinate of Q = (x-coordinate of P + x-coordinate of N) / 2

x-coordinate of Q = (0 + 2a) / 2 = a

So, we know that the x-coordinate of point Q is a.

To find the y-coordinate of point Q, we can use the fact that point Q lies on the same line as point P, which has coordinates (0, c). The equation of the line passing through P and N is:

y - c = (0 - c) / (2a - 0) * (x - 0)

Simplifying this equation gives:

y - c = -c/2a * xy = -c/2a * x + c

Substituting x = a in this equation gives:

y = -c/2a * a + cy = -c/2 + cy = c/2

So, we know that the y-coordinate of point Q is c/2.

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Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Answer:

a). Rate = 6

b). Starting value = 12

c). y = 6x + 12

Step-by-step explanation:

From the table attached,

a). Rate of the function = slope of the function

                                      = \(\frac{y_2-y_1}{x_2-x_1}\)

   Where \((x_1,y_1)\) and \((x_2,y_2)\) are the points through which the function is passing.

Let the two points from the table are (-2, 0) and (-1, 6),

Rate = \(\frac{6-0}{-1+2}\) = 6

b). Starting value of the function = y-intercept = 12

  (Since, y-intercept means y-value at x = 0)

c). Since, slope intercept form of the linear function is,

   y = mx + b

   y = 6x + 12

If Santiago has been approved for a mortgage up to $195,000 and the conventional loan requires a 20% down payment, then his down payment will be:

Down payment = 20% * $195,000

Down payment = $39,000

Therefore, if Santiago buys a house for the maximum amount he has been approved for, he will need to make a down payment of $39,000.

To calculate how much house Santiago can afford, we need to subtract the down payment from the total amount he has been approved for:

Maximum home price = Total mortgage amount - Down payment

Maximum home price = $195,000 - $39,000

Maximum home price = $156,000

Therefore, Santiago can afford a home up to a maximum price of $156,000.

To summarize:

Santiago's down payment will be $39,000.

Santiago can spend up to $156,000 on a house.

I'm sorry to disturb but can you please mark me BRAINLEIST if this ans is helpfull

Answer:

let's use c as circumference, d for diameter

lets say c increases, d is related to c, d will also increase

if c decreases, d will too.

Let's put in this way.

Pretend you're at a store,

The more you spend, the more points you get in their loyalty program

C is going to be the amount you spend

D will be how many points you get

Spend more, more points

spend less, less points

P.S

C is the independent variable, D is the dependent variable. (I think that's the right way, if not ignore the postscript aka P.S)

Answer:

f(x) = -5/3x + 5/3

Step-by-step explanation:

if x = 4 ; f(x) = -5

if x = -2 ; f(x) = 5

f(x) = ax + b

-5 = 4a + b (1)

and

5 = -2a + b (2)

(1) + (2)

2a + 2b = 0

a = -b

(1) -5 = 4a - a

-5 = 3a

a = -5/3

Answer :

f(x) = -5/3x + 5/3

Answer:

Option 2.

Step-by-step explanation:

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: \((- \infty} ,0)\) ∪ \((0, \infty} )\)

Range: \((- \infty} ,0)\)∪\((0, \infty} )\)

Both representations are equivalent and describe the same function.the function rule for this table is:   f(x) = -1/2 x 2

The slope or gradient of a line is a number that describes both the direction and the steepness of the line. A slope of a line is the change in y coordinate with respect to the change in x coordinate.

To write a function rule for a given array, we need to determine how the values ​​in the output column (y) relate to the values ​​in the input column (x).

Looking at the given data, we notice that the output values ​​decrease by 1 every time the input value increases by 2. This suggests that the function is linear and that we can use the slope-intercept form of a linear equation to represent it. .

The slope-intercept form of a linear equation is y = mx b, where m is the slope and b is the y-intercept. In this case, the slope m is -1/2 because the output values ​​decrease by 1 every time the input values ​​increase by 2. The y-intercept b is 2 because the output value is 2 when the input value is 0.

Therefore, the function rule for this table is:

f(x) = -1/2 x 2

where x is the input value and f(x) is the output value.

Alternatively, we can also represent the function in table entries, for example:

f(0) = 2

f(2) = 1

f(4) = 0

f(6) = -1

Both representations are equivalent and describe the same function.

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Answer:

the value of c is  20.155 such that 99% of all parcels are under the surcharge weight.

Step-by-step explanation:

Given that :

The mean value \(\mu\) = 12

The standard deviation \(\sigma\) = 3.5

Let Consider Q to be the weight of the parcel that is normally distributed .

Then;

Q \(\sim\) Norm(12,3.5)

The objective is to determine thewight  value of c under which there is a surcharge

Also, let's not that 99% of all the parcels are below the surcharge

However ;

From the Percentiles table of Standard Normal Distribution;

At 99th percentile; the value for Z = 2.33

The formula for the Z-score is:

\(Z = \dfrac{X- \mu}{\sigma}\)

\(2.33 = \dfrac{X - 12}{3.5}\)

2.33 × 3.5 = X - 12

8.155 = X - 12

- X = - 12 - 8.155

- X = -20.155

 X = 20.155

the weight  value of c under which there is a surcharge = X + 1 (0) since all the  pounds are below the surcharge

c = 20.155 + 1(0)

c = 20.155

Thus ; the value of c is  20.155 such that 99% of all parcels are under the surcharge weight.

The blanks that are missing in the sequence are -3 and 11

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

The blanks in the sequence

When listed out, we have

_, _, 25, 39

Assuming that the sequence, is an arithmetic sequence, then we have

Common difference = 39 - 25

Common difference = 14

This means that

Previous term = 25 - 14 = 11

Firs term = 11 - 14 = -3

So, the missing terms are -3 and 11

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Answer:

Hence, first one will be 1/3 and second one will be 1/6

Step-by-step explanation:

1. Let the blank space be x then,

\(3 \frac{2}{3} + x = 4\)

\(x = 4 - 3 \frac{2}{3} \)

\(x = \frac{12 - 11}{3} \)

\(x = \frac{1}{3} \)

2. Let the blank be x then,

\(x + \frac{2}{3} = \frac{5}{6} \)

\(x = \frac{5}{6} - \frac{2}{3} \)

\(x = \frac{5 - 4}{6} \)

\(x = \frac{1}{6} \)

Answer:

y = - 4.5x + 120

75 = - 4.5x + 120

x = 10 minutes

Step-by-step explanation:

To model the scenario described above, we use the linear equation model ;

Where ;

y = bx + c ; c = intercept ; b = slope ; y = altitude at time x

The initial altitude of the hot air Ballon here is the intercept = 120 meters

The descent rate = 4.5 m per minute is the slope ; since it is descent, then the slope will be negative as the altitude will reduce.

Hence, we have ;

y = - 4.5x + 120

Hence, the time altitude will be 75 cabnbe modeled as :

y = 75

75 = - 4.5x + 120

75 - 120 = - 4.5x

- 45 = - 4.5x

x = 10 minutes

The firm's federal income tax is $57,168.

To calculate the firm's federal income tax, we need to determine its taxable income first. Taxable income is calculated by subtracting deductions from the firm's total income.

In this case, the firm's total income consists of income from operations, interest income, and dividend income.

Total income:

Income from operations = $231,000

Interest income = $23,100

Dividend income = $29,700

Total income = $231,000 + $23,100 + $29,700 = $283,800

Next, we deduct expenses from the total income. In this case, the only relevant expense is the interest paid to bondholders:

Total expenses = Interest paid to bondholders = $11,000

Taxable income = Total income - Total expenses = $283,800 - $11,000 = $272,800

Now, we can calculate the federal income tax by applying the federal tax rate of 21% to the taxable income:

Federal income tax = Taxable income * Federal tax rate

Federal income tax = $272,800 * 0.21 = $57,168

Therefore, the firm's federal income tax is $57,168.

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The acceleration of the car is 8 m/s^2.

The figure shown in the question is the distance-time graph of a muscle car accelerating from a standstill. The table lists the coordinates of points on the graph.The following observations can be made from the graph and the table: The car is at rest at time t=0 and at distance x=0. It then starts accelerating, and its speed increases uniformly with time. The slope of the distance-time graph is the velocity of the car.

Since the velocity is increasing uniformly, the slope of the graph is a straight line with a positive slope. The area under the graph between two points gives the displacement of the car during that time interval. The displacement can be calculated as the product of the average velocity and the time interval. Using the coordinates in the table, we can calculate the average velocities for each time interval and the displacement during that interval.

(a) The average velocity of the car between t=0 and t=2 is equal to the slope of the graph between the two points (0,0) and (2,32). This can be calculated as the difference in distance divided by the difference in time:Average velocity = (32 - 0) / (2 - 0) = 16 m/sThe displacement during this time interval is given by the area under the graph between the two points:Displacement = (1/2) x 32 x 2 = 32 m

(b) The acceleration of the car is given by the slope of the velocity-time graph. Since the velocity is increasing uniformly with time, the velocity-time graph is also a straight line with a positive slope. The slope of the velocity-time graph is equal to the acceleration. We can calculate the slope of the velocity-time graph between two points using the coordinates in the table. For example, the slope between t=0 and t=2 is given by the difference in velocity divided by the difference in time:Slope = (16 - 0) / (2 - 0) = 8 m/s^2

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\(205\)

hope it helps

The combined balance of both bank accounts at the end of 3 years is closest to $1039.76.

To calculate the combined balance of both bank accounts after 3 years, we'll calculate the balance for each account separately and then add them together.

For Bank A, we can use the compound interest formula:

A =\(P(1 + r/n)^(nt)\)

Where:

A = the future value of the investment/loan, including interest

P = the principal investment amount

r = annual interest rate (as a decimal)

n = number of times that interest is compounded per year

t = number of years

In this case, Wanda deposited $370 at a 2.25% interest rate compounded annually, so we have:

P = $370

r = 2.25% = 0.0225 (as a decimal)

n = 1 (compounded annually)

t = 3 years

Using the formula, we can calculate the balance for Bank A:

A_A = \(370(1 + 0.0225/1)^(1*3)\)

=\(370(1.0225)^3\)

= 370(1.0678450625)

= $394.76

For Bank B, we can use the simple interest formula:

A = P(1 + rt)

Where:

A = the future value of the investment/loan, including interest

P = the principal investment amount

r = annual interest rate (as a decimal)

t = number of years

In this case, Wanda deposited $600 at a 2.5% simple interest rate, so we have:

P = $600

r = 2.5% = 0.025 (as a decimal)

t = 3 years

Using the formula, we can calculate the balance for Bank B:

A_B = 600(1 + 0.025*3)

= 600(1.075)

= $645

Finally, we can calculate the combined balance of both bank accounts:

Combined Balance = A_A + A_B

= $394.76 + $645

= $1039.76

Therefore, the combined balance of both bank accounts at the end of 3 years is closest to $1039.76.

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The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.

First, let's calculate the margin of error:

Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055

Next, we can calculate the lower and upper bounds of the confidence interval:

Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%

Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%

Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

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Answer:

g vvvvvvb b hh

Step-by-step explanation:

by bhynbhhbbh

The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.

The figures in the image are right triangles.

A)

angle D = 17 degree

Adjacent to angle D = 14 mm

Opposite to angle D = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( 17 ) = x/14

x = tan( 17 ) × 14

x = 4.3mm

B)

angle Z = 82 degree

Adjacent to angle Z = 43.1 m

Hypotenuse = x

Using trigonometric ratio,

cosine = adjacent / hypotenuse

cos( 82 ) = 43.1 / x

x = 43.1 / cos( 82 )

x = 309.7 m

Therefore, the measure of x is 309.7 meters.

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Step-by-step explanation:

a) -2 - (-9) = 7

→ -2 + 9 = 7

as, when the bracket will be open ( - ) (-) = + so 9 will be positive and as 2 is negative they will get subtracted and as 9 is greater no. and have a positive sign so, the answer will be positive as well.

b) -2-9 = -11

as the both numbers are negative so they will get added so we got 11 and also they bith share negative sign so in addition or subtraction the result will have the same sign as the numbers which are added have.

c) -2 - (-9) - (-2) = 9

→ -2 + 9 + 2

→ -2 + 11 = 9

when both the bracket will get open so the negative sign will change with positive so 2 and 9 have a positive sign and as they have similar sign when they will get add up than they will have same sign so we will get 9+2=11, a positive 11 and as 2 is negative so they will be subtracted and 11 is greater so we will have a positive 9.

hope this answer helps you dear...and may u have a great day ahead!

The total interest for the loan is $4,550. This means that over the course of 5 years, you will pay back the original loan amount of $13,000 plus $4,550 in interest for a total of $17,550.

To calculate the total interest for this loan, we need to use the simple interest formula:
Monthly EMI formula :
Interest = Principal x Rate x Time

In this case, the principal (amount borrowed) is $13,000, the rate is 7%, and the time is 5 years.

So,

Interest = $13,000 x 0.07 x 5

Interest = $4,550

It's important to keep in mind that this calculation assumes that the interest rate remains constant over the entire 5-year period.

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EXPLANATION

a) By using the given scale drawing of the plane (10ft) and measuring It with a rule, and extrapoling It to the wingspan, we can assevere that the measure of the wingspan is approximately 45 ft.

Length of the wingspan = 45 ft

b) Now, applying the same reasoning to the height, we can assevere that the approximately height is approximately 13.3 ft.

Height = 13.1 ft

c) Finally, by using the given scale drawing but in meters, we can see that the length in meters is equal to 8 meters.

Length of the Lysander = 8 meters

Answer:

Match the Statement number with the Reason number.

Step-by-step explanation:

Statements:

1.GE is perpendicular to BD

CF is perpendicular to BD

2. Angle GED equal 90

Angle DFC equal 90

3. Angle GED is congruent to Angle DFC

4. Angle GBE is congruent to Angle FDC

5. Triangle BEG is similar to DFC

Reasons:

1.Given

2. Definition of perpendicular lines

3. Transitive property

4. Alternate Interior Angles

5. AA Similarity

By satisfying essential conditions for two triangles to be similar, we can say that triangle BEG is similar to triangle DFC.

A quadrilateral in which opposites sides are equal and parallel. Also, opposite angles are equal to each other.

As we know that AB║ DC

so,∠GBE = ∠CDF (alternate angles)

∠GEB= ∠DFC = 90°

so triangle BEG≈DFC​

Therefore, we can say that triangle BEG is similar to triangle DFC

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a) The dot product of v and -v is -1.

b) The dot product of v + w and v – w is 2v.w

c) The dot product of v – 2w and v + 2w is 4||w||^2 - 4v.w

(a) For any unit vector v, the dot product of v and -v can be found as follows:

v · -v = ||v||||-v||cos(θ) = ||v||||v||cos(180°) = -||v||^2 = -1, where ||v|| represents the magnitude of the vector v and θ is the angle between the vectors.

Since v and -v are unit vectors, their magnitudes are equal to 1, so ||v||^2 = 1. Thus, the dot product of v and -v is -1.

(b) For any unit vectors v and w, the dot product of v + w and v – w can be found as follows:

(v + w) · (v – w) = ||v + w||||v – w||cos(θ) = (||v||||v|| + 2v · w + ||w||||w||)cos(θ) = 2v · w

where θ is the angle between the vectors v + w and v – w, and v · w is the dot product of v and w.

(c) For any unit vectors v and w, the dot product of v – 2w and v + 2w can be found as follows:

(v – 2w) · (v + 2w) = ||v – 2w||||v + 2w||cos(θ) = (||v||||v|| + 4||w||||w|| - 4v · w)cos(θ) = 4||w||^2 - 4v · w

where θ is the angle between the vectors v – 2w and v + 2w, and v · w is the dot product of v and w.

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Step-by-step explanation:

7x6y².y.(-7y²)

7y²[x6y-1]

Answer:

-49x^6y^5

Step-by-step explanation:

multiply the like terms (7y^3 and -7y^2)

7*-7 = -49

y^3+2 = y^5

combine the terms

-49x^6y^5

The range of the function is {1,-1,10} for function f(x)=2x³−3x .

A relation is a function if it has only One y-value for each x-value.

In a function what can go into a function is called the Domain. What may possibly come out of a function is called the Codomain. What actually comes out of a function is called the Range.

The given function is f(x)=2x³−3x

The domain is {-1,1,2}

Now f(-1)=2(-1)³-3(-1)

=-2+3=1

f(1)=2(1)³-3(1)=2-3=-1

f(2)=2(2)³-3(2)=16-6=10

Hence, the range of the function is {1,-1,10} for  f(x)=2x³−3x .

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