For every person who has the flu, there are 6 people who have only flu-like symptoms. If a doctor sees 40 patients, determine approximately how many patients you would expect to have only flu-like symptoms.

Thus, m∠F =  33º for the corresponding angle measures for each similar triangle ΔABC and ΔDEF.

To start, we know that similar triangles have corresponding angles that are congruent. Therefore, we can set up the following proportion:

m∠BAC/m∠EDF = m∠BCA/m∠DFE

Substituting the given angle measures, we get:
(x² - 5x)/(4x + 36) = (4x - 5)/m∠F

To solve for m∠F, we need to isolate it on one side of the equation. First, we can cross-multiply to get:
(4x - 5)(4x + 36) = (x² - 5x)m∠F

Expanding the left side, we get:
16x² + 116x - 180 = (x² - 5x)m∠F

Next, we can divide both sides by (x² - 5x):
(16x² + 116x - 180)/(x² - 5x) = m∠F

Simplifying the left side, we get:
(4x + 29)/(x - 5) = m∠F

Therefore, m∠F = (4x + 29)/(x - 5).

To check our answer, we can plug in a value for x and find the corresponding angle measures for each triangle. For example, if x = 6:

m∠BAC = (6² - 5(6))º = 16º
m∠BCA = (4(6) - 5)º = 19º
m∠EDF = (4(6) + 36)º = 60º

Using our formula for m∠F, we get:
m∠F = (4(6) + 29)/(6 - 5) = 33º

We can see that this satisfies the proportion and therefore our answer is correct.

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The standard error is the standard deviation of the sampling distribution of the mean or proportion.

When we take a sample from a population, the mean or proportion of that sample may differ from the true mean or proportion of the population.

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If many random samples of this size were taken and intervals constructed, 90% of them would contain the true population mean. In repeated sampling, about 90% of the constructed confidence intervals will capture the true population mean difference. The correct answer is C.

When we construct a confidence interval, it is important to understand its interpretation. In this case, the correct answer (Oc) states that if we were to take many random samples of the same size and construct confidence intervals for each sample, approximately 90% of these intervals would contain the true population mean difference.

This interpretation is based on the concept of sampling variability. Due to random sampling, different samples from the same population will yield slightly different sample means.

The confidence interval accounts for this variability by providing a range of values within which we can reasonably expect the true population mean difference to fall a certain percentage of the time.

In the given scenario, when constructing a 90% confidence interval for the paired difference, it means that 90% of the intervals we construct from repeated samples will successfully capture the true population mean difference, while 10% of the intervals may not contain the true value.

It's important to note that this interpretation does not imply a probability or chance for an individual interval to capture the true population mean. Once the interval is constructed, it either does or does not contain the true value. The confidence level refers to the long-term behavior of the intervals when repeated sampling is considered.

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As calculated from the data given 24 degrees of freedom must be in the denominator.

df of the numerator is -1

c = 5 - 1 = 4

df of the denominator is - c

n-c = 28 - 4 = 24

In the formal description of the state of a physical system, it is a separate physical parameter. The term "degrees of freedom" describes the variety of spatial motions, rotations, and vibrations that a gas phase molecule may make. When applying the equipartition theorem to calculate the values of various thermodynamic variables, the degree of freedom a molecule has an impact.

Degrees of freedom come in three different categories, including translational, rotational, and vibrational. The number of atoms in a molecule and the geometry—the arrangement of the atoms in space—of the molecule both affect the number of degrees of freedom of each kind the molecule possesses.

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Answer:

Step-by-step explanation:

Using the regression equation :

y = mx + c

y = dependent variable ; x = independent variable ; m = slope ; c = intercept

1.) base fee = $20 ; hourly charge = $40

Hourly charge = independent

Total charge = dependent

Total charge = 40x + 20

x = Number of hours

2.) rental fee = $450; charge per guest = $15

Total rental fee = dependent

Independent = $15 = charge per guest

Number of guest = x

Total fee = 15x + 450

3.)

Royalty earned = dependent variable

Cost per book = $1.25 = independent

Royalty earned = $1.25 * number of books

4.)

Amount deposited per week = $20 = independent variable

Amount in account = dependent variable

y = 500 + 20x

x = number of weeks

The approximate angle of sunrise for February 3 at WPU, NJ, with an approximate latitude of 40 degrees north, would be around 66.5 degrees, and the approximate angle of sunset would be around 293.5 degrees.

To determine the approximate angle of sunrise and sunset for a specific location and date, we can use the knowledge that on the equinox, the sunrise and sunset angles are at their extremes. The equinox occurs around March 21 and September 21. Since we are looking for February 3, which is closer to the March equinox, we can use the values for the March equinox.

On the equinox, the sunrise and sunset angles are approximately 66.5 degrees and 293.5 degrees, respectively. These values correspond to the direction measured clockwise from due north.

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Answer:

After driving, the elevation is 617.5 feet and the temperature is 61 1/20 °F;

A: 502 1/2 feet

Step-by-step explanation:

After driving: H = 502.5 + 115 = 617.5 feet; T = 63 1/4 - 2 1/5

= 61 1/2 °F ; Part A : 502.5 feet = 502 1/2 feet

[ simple calculation ]

It took Simon 45 minutes to finish the run.

What is distance?

Distance is the measure of how far apart two objects or locations are from each other. It is usually measured in units such as meters, kilometers, miles, or feet.

To solve this problem, we need to use the distance formula:

Distance = Rate x Time

We can break down the run into three parts: the 2 miles due west, the 1.5 miles due north, and the straight line back to the parking lot.

For the first part, Simon ran 2 miles at a rate of 8 miles per hour. Therefore, the time it took him to run this part of the trail was:

Time = Distance / Rate

Time = 2 miles / 8 miles per hour

Time = 0.25 hours

For the second part, Simon ran 1.5 miles at a rate of 8 miles per hour. Therefore, the time it took him to run this part of the trail was:

Time = Distance / Rate

Time = 1.5 miles / 8 miles per hour

Time = 0.1875 hours

To find the distance of the last part, we need to use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the 2-mile and 1.5-mile legs:

c² = a² + b²

c² = 2² + 1.5²

c² = 4 + 2.25

c² = 6.25

c = sqrt(6.25)

c = 2.5 miles

So, Simon ran 2.5 miles at a rate of 8 miles per hour. Therefore, the time it took him to run this part of the trail was:

Time = Distance / Rate

Time = 2.5 miles / 8 miles per hour

Time = 0.3125 hours

Finally, we can add up the times for each part of the trail to find the total time it took Simon to finish the run:

Total Time = 0.25 hours + 0.1875 hours + 0.3125 hours

Total Time = 0.75 hours

To convert this to minutes, we can multiply by 60:

Total Time = 0.75 hours x 60 minutes/hour

Total Time = 45 minutes

Therefore, it took Simon 45 minutes to finish the run.

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Answer:its 5

Step-by-step explanation: cuz

Solution

We can create the following plot:

Part 1

From this case we can see in the figure that the maxium number of circular rugs are 6

The total area is given by:

A= 12ft * 18 ft= 216 ft2

And the area for a single rug is:

Then the area for the 6 rugs is:

And rounding to the nearest square foot we got:

170 ft2

Part 2

The remaining space would be given by:

R= 216-170 ft2= 46ft

The allowance time, if the standard time is 234.15 minutes and the basic time is 233.4 minutes is 0.75 minute

To calculate the allowance time, we can use the following formula:

Allowance time = Standard time - Basic time

Thus, Allowance time = 234.15 minutes - 233.4 minute = 0.75 minutes

Therefore, the allowance time is 0.75 minutes.

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there are 10 people standing equally spaced around a circle. each person knows exactly 3 of the other 9 people then there are 10 possible ways

there are 10 people standing equally spaced around a circle. each person knows exactly 3 of the other 9 people:

There is only $1$ way to do this.

Thus, in total there are $2+5+5+1={(C) }13}$ possible ways.

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Answer:

x<-2

Step-by-step explanation:

17+4x<9

4x<-8

x<-2

The solution is:

Work/explanation:

Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).

Make sure that all constants are on the right:

\(\bf{4x < 9-17}\)

\(\bf{4x < -8}\)

Divide each side by 4:

\(\bf{x < -2}\)

The total cost of tuition, books, and fees for this student when attending college for four years will be $64651

Assuming that the annual increase of $750 per year is compounded each year

we can use the formula for the future value of an annuity to calculate the total cost of tuition, books, and fees for the four years:

\(FV = PMT \frac{((1 + r)^n - 1)}{r}\)

In this case, PMT = $15,000, r = 750/15000 = 0.05, and n = 4.

Plugging in these values, we get:

Total cost or FV = $15,000 x ((1 + 0.05)⁴ - 1) / 0.05

FV = $15,000 x(1.2155)-1)/0.05

FV = $15,000 x 0.2155/0.05

FV = $15,000 x4.31

FV = $64651

Hence, the total cost of tuition, books, and fees for this student when attending college for four years will be $64651

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Square 3, multiply -2 and subtract -4 from the result. Therefore, option C is the correct answer.

The given function is f(x) = -2x²-4.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Substitute x=3 in f(x) = -2x²-4, we get

f(3) = -2(3)²-4

Square 3, multiply -2 and subtract -4 from the result. that is

f(3) = -2×9-4

= -22

Square 3, multiply -2 and subtract -4 from the result. Therefore, option C is the correct answer.

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The mean is 18.6.

Given the following information; z = 2.25, x = 22.2, and σ = 1.6, to find the mean, we have to apply the formula for z-score. z = (x - μ)/σWhere; z-score is represented by z, the value of X is represented by x, the mean is represented by μ and the standard deviation is represented by σSubstituting the values into the equation above;2.25 = (22.2 - μ)/1.6Multiplying both sides of the equation by 1.6, we have;1.6(2.25) = (22.2 - μ)3.6 = 22.2 - μ Subtracting 22.2 from both sides of the equation;3.6 - 22.2 = - μ-18.6 = - μ Multiplying both sides of the equation by -1, we have;μ = 18.6

Simply said, a z-score, also known as a standard score, informs you of how far a data point is from the mean. Technically speaking, however, it's a measurement of how many standard deviations a raw score is from or above the population mean.

You can plot a z-score on a normal distribution curve. Z-scores range from -3 standard deviations, which would fall to the extreme left of the normal distribution curve, to +3 standard deviations, which would fall to the far right. You must be aware of the mean and population standard deviation in order to use a z-score.

The z-score can show you how that person's weight compares to the mean weight of the general population.

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Answer:

number 1 is correct

Step-by-step explanation:

All rational numbers can NOT be integers

integer do not include decimals or fraction while 0.25 is rational it can not be counted as a integer as it is a decimal.

all of the rational numbers are NOT whole numbers because again whole numbers don't include decimals

and all integers are not whole numbers as whole numbers don't include negatives so number 1 is the only logical answer

give me brainliest pls

The speed that Jo walked for the first 15 minutes is; 6 km/hr

The distance - time graph is missing and so i have attached it.

Now, the formula for speed is;

Speed = Distance/time

The distance after 15 minutes from the graph is 1.5km.

Now, 15 minutes when converted to hours is 15/60 = ¹/₄ hr

Thus, the speed that Jo walked for the first 15 minutes is;

Speed = 1.5/(¹/₄)

Speed = 6 km/hr

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Answer:

4.375 dollars per cookie and 2.2 dollars per cupcake

Step-by-step explanation:

hope this helps

Answer:

Option D

Step-by-step explanation:

In ΔHBC and ΔACB,

            Statements                      Reasons

1). CB ≅ CB (leg)                          1). Reflexive property

2). BA ≅ CH (Hypotenuse)         2). Additional information for the

                                                       congruence of two right triangles by HL

                                                       property.

3). ΔHBC ≅ ΔACB                       3). HL property of congruence

Option D will be the correct option.

Answer:

the fifth answer is the right one

Answer:

B

Step-by-step explanation:

Take his original balance (-142) and add the deposit (500) to get $358.

Hope this helps!

Answer:

B. $358

Step-by-step explanation:

the way you would get this would be to add -142+500

Answer:

First:

11x +11 = 110°

11x = 110° -11

11x = 99°

x = 99/11

x = 9°

Second:

100° = 13x -4

13x = 100° + 4

13x = 104 °

x = 104/13

x = 8°

By concepts of functions, the inverse of the rational function f(x) = (2 · x + 1)/(x - 4) is f⁻¹(x) = (4 · x + 1)/(x - 2), whose value at being evaluated at x = 3 is equal to 13.

In this question we must determine the inverse of a given function and evaluate the resulting expression at a given value. First, we apply the following substitution:

f⁻¹(x) = x

x = f(x)

x = (2 · f⁻¹(x) + 1)/(f⁻¹(x) - 4)

Then we clear f⁻¹(x) within the expression:

x · (f⁻¹(x) - 4) = 2 · f⁻¹(x) + 1

x · f⁻¹(x) - 4 · x = 2 · f⁻¹(x) + 1

x · f⁻¹(x) - 2 · f⁻¹(x) = 4 · x + 1

f⁻¹(x) · (x - 2) = 4 · x + 1

f⁻¹(x) = (4 · x + 1)/(x - 2)

Lastly, we evaluate the function at x = 3:

f⁻¹(3) = (4 · 3 + 1)/(3 - 2)

f⁻¹(3) = 13

By concepts of functions, the inverse of the rational function f(x) = (2 · x + 1)/(x - 4) is f⁻¹(x) = (4 · x + 1)/(x - 2), whose value at being evaluated at x = 3 is equal to 13.

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Answer:

It would be B

Step-by-step explanation:

Answer:

-9x+5y=-4

Step-by-step explanation:

Answer:

m= 9/5

Step-by-step explanation:

Parallel lines have the same slope.

So if you can find the slope of the given line, you have the slope you want.

Change the line into the form

y=mx + c

The value of m

will be the slope of the line.

9x −4 = 5y ← to make the y term positive

y=9/5x − 4/5

m=9/5

Answer:

C, $40

Step-by-step explanation:

Based on the pattern shown here, the employee is gaining $10 for every hour they spend working. This means that if the employee works for 4 hours, they get 4*10=$40.

As the worker gets $10 per hour

Step-by-step explanation:

For 4 hours

$10 x 4 = $40

so for working four hours the worker will get $40