How many nontraditional credit references are r

The probability that a randomly selected student from the school have a cold after receiving the flu vaccine is 0.27 or 27%.

The school nurse is hoping to limit the cold's spread among the students in her school. To do this, to administer flu vaccines to the students. However, the flu vaccine is only effective in preventing the cold in 75% of cases.

Now, let's calculate the probability that a randomly selected student from the school have a cold after receiving the flu vaccine.

Let:

P(Cold) be the probability of having a cold in the city (given as 64% or 0.64).

P(Not Cold) be the probability of not having a cold in the city (since P(Cold) + P(Not Cold) = 1).

P(Vaccine Effective) be the probability that the flu vaccine is effective (given as 75% or 0.75).

The probability of not having a cold after receiving the flu vaccine is given by:

P(Not Cold | Vaccine) = P(Not Cold) × P(Vaccine Effective)

P(Not Cold | Vaccine) = (1 - P(Cold)) × P(Vaccine Effective)

P(Not Cold | Vaccine) = (1 - 0.64) × 0.75

P(Not Cold | Vaccine) = 0.36 × 0.75

P(Not Cold | Vaccine) = 0.27

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Complete question:

In a large city, 64% of the population under the age of 15 had a cold during the last winter season. A school nurse is hoping to limit the ...

Answer:

34.166

Step-by-step explanation:

Mean=(Sum of all the numbers)/12=410/12=34.166

\(\huge\textsf{Hey there!}\)

\(\bullet \large\textsf{ Finding the mean you have to add up all of your numbers \& divide it}\\\large\textsf{by the total numbers in your data plot}\)

\(\mathsf{\dfrac{20 + 5 + 45 + 90 + 60 + 45 + 30 + 10 + 20+ 45 + 15 + 25}{12}}\)

\(\mathsf{20 + 5 + 45 + 90 + 60 + 45 + 30 + 10 + 20+ 45 + 15 + 25}\)

\(\mathsf{= 25 + 45 + 90 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}\)

\(\mathsf{= 70 + 90 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}\)

\(\mathsf{= 160 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}\)

\(\mathsf{= 220 + 45 + 30 + 10 + 20 + 45 + 15 + 25}\)

\(\mathsf{= 265 + 30 + 10 + 20 + 45 + 15 + 25}\)

\(\mathsf{= 295 + 10 + 20 + 45 + 15 + 25}\)

\(\mathsf{= 305 + 20 + 45 + 15 + 25}\)

\(\mathsf{= 325 + 45 + 15 + 25}\)

\(\mathsf{= 370 + 15 + 25}\)

\(\mathsf{= 385 + 25}\)

\(\mathsf{= \bf 410}\)

\(\mathsf{= \dfrac{410}{12}}\)

\(\mathsf{\dfrac{410}{12} \approx \bf 34.1667}\)

\(\boxed{\boxed{\huge\textsf{Thus, your ANSWER is: \boxed{\mathsf{ \bf \underline{{\star 34.1667\star}}}}}}}}\huge\checkmark\)

\(\huge\textsf{Good luck on your assignment \& enjoy your day!}\)

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35, ∠2 and ∠4 are alternate interior angles, so m∠2 = m∠4.

What is alternate interior angles?

Given

           m∠4=35

From the image given, angle 2 and angle 4 lie on opposite side of the line that intercepts the two parallel lines, AB and CD. Angle 2 and angle 4 both lie within the parallel lines.

Therefore, ∠2 and ∠4  are alternate interior angles.

Thus,

m ∠2 = m∠4 (alternate interior angles theorem)

since m∠4 = 35°

therefore m∠2 = 35°

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The required volume of Famotidine is 4 mL.

To calculate the required volume in milliliters (mL) for the provided dosage of Famotidine, we can use the following formula:

Volume (mL) = (Dosage ordered / Available dosage) * Volume per dose

We have:

Dosage ordered = 40 mg

Available dosage = 20 mg/2 mL (This means there are 20 mg of Famotidine in 2 mL)

Volume per dose = 2 mL

Let's substitute these values into the formula:

Volume (mL) = (40 mg / 20 mg) * 2 mL

Simplifying the expression:

Volume (mL) = 2 * 2 mL

Volume (mL) = 4 mL

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\(\left[\begin{array}{ccc}0&-1\\-3&1\end{array}\right]\)

-y

-2x + y

- y determinant

__________________________________________________________

\(\left[\begin{array}{ccc}2&0\\1&-3\end{array}\right]\)

2x

x-3y

- x determinant

__________________________________________________________

\(\left[\begin{array}{ccc}2&-1\\1&1\end{array}\right]\)

2x -y

x + y

-system determinant

Answer:

18/7

Step-by-step explanation:

Convert the mixed number 247 2 4 7 into an improper fraction first by multiplying the denominator (7) by the whole number part (2) and add the numerator (4) to get the new numerator. Place the new numerator (18) over the old denominator (7) .

Answer:

B.

\( \frac{275\pi}{6} {m}^{2} \)

Step-by-step explanation:

\(area \: of \: sector \: is \\ \frac{the \: angle}{360} \times \pi {r}^{2} \\ hence \: we \: have \\ \frac{165}{360} \times {(10m)}^{2} = \frac{275\pi}{6} {m}^{2} \)

Answer:

Step-by-step explanation:

tan28=h/150

h=150tan28

h=79.8ft

x/(12+8)=5/8

x/20=5/8

x=100/8

x=12.5

Answer:

y=-3/4x+5.5

Step-by-step explanation:

Answer:

if it doesn't give u a number then u can't explain or estimate it because there is not enough info.

Step-by-step explanation:

Though if there is a number then just multiple that by 4 and ya get your answer.

Type fish A are 8 inches long and Type B fish are 7 inches long.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations. But the need to depict these shifting values is ongoing. These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables. In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Marta's aquarium holds 38 gallons of water

and Hank's aquarium hold 52 gallons of water.

let length of fish A be x

and, the length of type B be y.

So, 3x+ 2y = 38

and, 3x+ 4y = 52

Solving above equation

2y = 52-38

2y = 14

y=7

and, 3x+ 2(7) = 38

3x = 38-14

3x= 24

x= 24/3

x= 8

Hence, Type fish A are 8 inches long and Type B fish are 7 inches long.

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Answer:

14200

Step-by-step explanation:

The formula of amount be , A = P + SI = P + {(P × R × T)/100} = 14200

Simple interest exists estimated with the following formula:

S.I. = (P × R × T)/100,

where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually computed as the number of years.

The rate of interest is in percentage r% and exists to be noted as r/100.

Given: P = 6000, T = 10 and R = 12

S.I. = (P × R × T)/100

\($SI = (6000*12*10)/100\)

SI = 7200

A = P + SI

A = 6000 + 7200

A = 14200

Therefore, the amount = 14200.

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The height of the building across the street is approximately 29 feet.

We have,

Let's use trigonometry to find the height of the building across the street.

First, let's consider the angle of elevation (53°) from the window to the top of the building.

We can use the tangent function, which is defined as:

tan(angle) = opposite / adjacent

In this case, the opposite side is the height of the building (h), and the adjacent side is the horizontal distance from the window to the base of the building (let's call it d).

So, for the angle of elevation (53°):

tan(53°) = h / d

Now, let's consider the angle of depression (15°) from the same window to the base of the building across the street.

The opposite side remains the height of the building (h), and the adjacent side is still the horizontal distance from the window to the base of the building (d).

So, for the angle of depression (15°):

tan(15°) = h / d

We have a system of two equations with two variables:

tan(53°) = h / d ...(1)

tan(15°) = h / d ...(2)

To solve for h, we can set up a ratio between equations (1) and (2):

(tan(53°)) / (tan(15°)) = (h / d) / (h / d)

Notice that the d/d cancels out, leaving us with:

tan(53°) / tan(15°) = h / h

Now, calculate the values of the tangents:

tan(53°) ≈ 1.532 (rounded to three decimal places)

tan(15°) ≈ 0.267 (rounded to three decimal places)

Divide the two values:

(1.532) / (0.267) = h / h

Simplify:

5.738 = h / h

Now, we can solve for h:

h = 5.738 * h

Divide both sides by 5.738:

h / 5.738 = h

Simplify:

h ≈ 29 feet

Thus,

The height of the building across the street is approximately 29 feet.

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Answer:

$614.2

Step-by-step explanation:

Um I just calculated it. I'm in Algebra 2 so it's light work

The value of KL for the similar triangle ∆JKL is derived to be equal to 10.92

The triangles XYZ and JKL are similar, this implies that the length XY of the smaller triangle is similar to the length JK of the larger triangle

similarly, YZ is similar to KL so;

8.7/12.18 = 7.8/KL

KL = (7.8 × 12.18)/8.7 {cross multiplication}

KL = 95.004/8.7

KL = 10.92

Therefore, the value of KL for the similar triangle ∆JKL is derived to be equal to 10.92.

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Answer: 10.92

Step-by-step explanation:

I am in the middle of taking the test is this would be the best answer choice in my opinion. Im not sure if it is correct or not yet but just let me know if it is or isn't!

Answer:

3n

Step-by-step explanation:

5n-2n=3n

Answer:

3n

Step-by-step explanation:

5n-2n=3n

If two bankers each arrive at the station at some random time between 5:00 AM and 6:00AM  and stay exactly five minutes and then leave, then the probability they will meet on a given day is 84.03%.

Let the two bankers be A and B. For the two bankers to meet, they must be at the station at the same time. The probability of this happening is equal to the probability that the time between their arrivals is less than or equal to five minutes. We can solve this problem by using geometric probability.

Let x be the number of minutes past 5:00 AM that banker A arrives, and let y be the number of minutes past 5:00 AM that banker B arrives. Then x and y are both uniformly distributed on the interval [0,60], since the arrival time for either banker is uniformly distributed.

To find the probability they will meet on a given day, we need to find the probability that |x−y|≤5.

We can represent this condition geometrically as follows:

This is a square of side length 60 units with area 3600 square units. The shaded region is the set of points (x,y) such that |x−y|≤5. This region consists of two right triangles of base 55 and height 55.

The area of each triangle is 1/2 * base * height = 1/2 * 55 * 55 = 1512.5 square units.

The area of the shaded region is therefore 2 * 1512.5 = 3025 square units.

The probability that the two bankers will meet on a given day is equal to the area of the shaded region divided by the area of the square, or 3025/3600 = 0.8403 (rounded to four decimal places).

Therefore, the probability they will meet on a given day is 0.8403 or 84.03%.

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Answer:

Option B is the best way to write the underlined parts of sentences 2 and 3.

Sentence 2: They have a special finish that helps.

Sentence 3: The finish helps the swimmer glide through the water.

Option B provides a clear and concise way to connect the two sentences and convey the idea that the special finish of the swimsuits helps the swimmer glide through the water. It avoids any ambiguity or redundancy in the language.

To understand why the mean and variance of the wavelength distribution are the same for different ranges, it is useful to consider the individual wavelengths within the range. A uniform distribution of wavelengths implies that each wavelength within the range has an equal probability of being observed. This means that, regardless of the range, each wavelength has the same probability of being observed. Thus, the mean and variance of the wavelength distribution are the same for different ranges.

A. The mean wavelength of photosynthetically active radiation (PAR) in the red spectrum from 675 to 700 nm is (675 + 700)/2 = 687.5 nm. The variance of the wavelength distribution for this radiation is [(700-675)2]/12 = 5.21 nm2.

B. The mean wavelength of PAR in the range of 75 to 100 nm is (75 + 100)/2 = 87.5 nm. The variance of the wavelength distribution in this range is [(100-75)2]/12 = 5.21 nm2.

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Answer:

See below.

Step-by-step explanation:

The line of best fit is in the screenshot.

(12,4) and (7,9) are the selected points.

9-4=5

7-12=-5

5/-5, or -1.

The approximate slope and y-intercept is -1 and 15.

-hope it helps

Answer:  b

Step-by-step explanation:

I think

The relationship between the heights of two right circular cylinders with the same volume. The radius of the second cylinder increases, its height must decrease to maintain the same volume as the first cylinder.

In order to find the volume of a cylinder, we use the formula V = πr²h, where V represents the volume, r is the radius, and h is the height of the cylinder.

Given that both cylinders have the same volume, let's denote their volumes as V1 and V2, their radii as r1 and r2, and their heights as h1 and h2. The given information states that r2 > r1. We can now write the equations for the volumes of the two cylinders:

V1 = π(r1)²h1
V2 = π(r2)²h2

Since V1 = V2, we can set the two equations equal to each other:

π(r1)²h1 = π(r2)²h2

We can now solve for the relationship between the heights of the two cylinders:

h1/h2 = (r2/r1)²

This equation shows that the ratio of the heights of the two cylinders is equal to the square of the ratio of their radii. As the radius of the second cylinder is greater than the radius of the first (r2 > r1), the height of the second cylinder will be less than the height of the first (h2 < h1). In other words, as the radius of the second cylinder increases, its height must decrease to maintain the same volume as the first cylinder.

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\( - {82}^{2} = - (80 + 2)(80 + 2) = \\ \)

\( - ( \: (6400) + (160 \times 2) +( 4) \: ) = \\ \)

\( - (6400 + 320 + 4) = - (6724) = - 6724 \\ \)

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\( ({ - 82})^{2} = {82}^{2} = + 6724 \)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

To add or subtract mixed numbers, first add or subtract the integer (whole number) portions of the mixed numbers, then add or subtract the fractional portions of the mixed numbers. Reduce the fractional portion of the answer to its lowest terms and combine it with the integer portion of the answer to get the final answer.

1. To add mixed numbers, first add the integer (whole number) portions of the two mixed numbers together. The result is the integer portion of your answer.

2. Next, add the fractional portions of the two mixed numbers together. If the fractional parts of the two mixed numbers have different denominators, you'll need to convert them to have the same denominator.

3. Reduce the fractional portion of your answer to its lowest terms. This is the fractional portion of your answer.

4. Combine the integer portion of your answer with the fractional portion of your answer to get the final answer.

5. To subtract mixed numbers, first convert the fractional portion of the subtrahend (the number being subtracted) to an equivalent fraction with the same denominator as the minuend (the number being subtracted from).

6. Subtract the integer portions of the two mixed numbers. The result is the integer portion of your answer.

7. Subtract the fractional portions of the two mixed numbers. Reduce the fractional portion of your answer to its lowest terms. This is the fractional portion of your answer.

8. Combine the integer portion of your answer with the fractional portion of your answer to get the final answer.

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There are three major forms of linear equations:

Point slope form:

The point-slope form, as its name suggests, identifies a point on a line and its slope. Not frequently is this form provided to assist with line graphing. To get from a verbal or visual representation of a line to its slope-intercept or standard form, however, is where it is more frequently utilized.

Slope intercept form:

A line's slope and y-intercept are communicated using the slope-intercept form. Technically speaking, it is an exception to the point-slope form.

Standard form:

An equation's conventional form is as follows:

Ax+By=C

Where A is not a negative number and B, C, and all three are whole numbers.

Hence we get the required answer.

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Answer:

There are 77 green counters in the bag.

Step-by-step explanation:

Let's assume the number of green counters is represented by the variable "x".

According to the given ratio, the number of purple counters would be (3/7) * x, and the number of red counters would be (8/7) * x.

It is stated that there are 11 more red counters than green counters, so we can set up the equation:

(8/7) * x = x + 11

To solve this equation, we can multiply both sides by 7 to get rid of the denominator:

8x = 7x + 77

Next, we can subtract 7x from both sides:

x = 77

Therefore, there are 77 green counters in the bag.

If a hypothesis test is performed that rejects the null hypothesis, the decision would be interpreted as there being enough evidence to support the alternative hypothesis.

In this case, it would mean that there is enough evidence to support the claim that the gestation period for a fox is different from 50.3 weeks, but it does not specify whether it is longer or shorter. In hypothesis testing, the null hypothesis (H0) represents the default position or the claim to be tested, while the alternative hypothesis (Ha) represents the opposing claim. In this case, the null hypothesis would be that the mean gestation period for a fox is 50.3 weeks. If the hypothesis test rejects the null hypothesis, it means that there is enough evidence to suggest that the true mean gestation period is different from 50.3 weeks. However, the test does not provide information on whether the gestation period is longer or shorter than 50.3 weeks. The alternative hypothesis does not specify a direction, so the interpretation would be that there is enough evidence to support the claim that the gestation period is different from the claimed value of 50.3 weeks.

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When a postal worker counts the number of complaint letters received by the united states postal service in a given day, the type of data collected is quantitative.

Quantitative data is data that can be measured and expressed in numbers. In this case, the number of complaint letters received by the United States Postal Service in a given day can be measured and expressed as a number.

Qualitative data, on the other hand, is data that cannot be measured or expressed in numbers. For example, the contents of the complaint letters would be qualitative data.

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There are approximately 3.64 x 10¹⁸ liters of water available for human and plant use in the entire world. We can calculate it in the following manner.

To find how many liters of water are available for human and plant use, we need to multiply the total amount of water in the world (1.4 x 10²¹ liters) by the percentage available for human and plant use (0.26% or 0.0026).

The calculation is:

1.4 x 10²¹ liters x 0.0026 = 3.64 x 10¹⁸ liters

Therefore, there are approximately 3.64 x 10¹⁸ liters of water available for human and plant use in the entire world.

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