are false positives too common in some medical tests? researchers conducted an experiment involving 250 patients with a medical condition and 750 other patients who did not have the medical condition. the medical technicians who were reading the test results were unaware that they were subjects in an experiment.

a. The number of light bulbs that burn out in the next week in a room with 11 bulbs: Discrete random variable. b. The amount of snowfall in December in City A: Continuous random variable. c. The eye color of people on commercial aircraft flights: Not a random variable. d. The number of hits to a website in a day: Discrete random variable. e. The amount of rain in City B during April: Continuous random variable. f. The final answer: Discrete random variable (assuming it refers to a specific discrete value or category).

a. The number of light bulbs that burn out in the next week in a room with 11 bulbs:

This is a discrete random variable because the number of light bulbs that burn out can only take on specific whole number values (0, 1, 2, 3, ..., 11) and cannot be a fraction or continuous range.

b. The amount of snowfall in December in City A:

This is a continuous random variable because the amount of snowfall can take on any real value within a range (e.g., 0.5 inches, 1.2 inches, 3.7 inches, etc.), including fractional values.

c. The eye color of people on commercial aircraft flights:

This is not a random variable because eye color is a fixed attribute of individuals and does not involve uncertainty or probability. It is a categorical variable that describes a characteristic, but it does not follow a random distribution.

d. The number of hits to a website in a day:

This is a discrete random variable because the number of hits can only take on whole number values (0, 1, 2, 3, ...) and cannot be a fraction or continuous range.

e. The amount of rain in City B during April:

This is a continuous random variable because the amount of rain can take on any real value within a range (e.g., 0.1 inches, 1.5 inches, 2.8 inches, etc.), including fractional values.

f. The... (the question is incomplete)

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Answer:

222 cups

Step-by-step explanation:

24*3=72

72*3=216

3*2=6

216+6=222

1. the mechanical advantage of the rake is 0.5. 2. the efficiency of the blade adjuster is approximately 92.73%.

1. The mechanical advantage of a simple machine is determined by the ratio of the output force to the input force. In this case, the woman applies an input force of 32 N to the rake, and the rake exerts an output force of 16 N.

The mechanical advantage (MA) can be calculated as MA = Output Force / Input Force.

Using the given values, we can substitute them into the formula:

MA = 16 N / 32 N = 0.5.

Therefore, the mechanical advantage of the rake is 0.5.

Explanation:

The mechanical advantage represents the amplification of force achieved by using a machine. In this case, the mechanical advantage of 0.5 means that the rake reduces the input force by half to produce the output force. It indicates that for every 1 unit of input force applied by the woman, the rake generates 0.5 units of output force.

2. Efficiency is a measure of how effectively a machine converts input work to output work. It is calculated as the ratio of output work to input work, expressed as a percentage.

The efficiency (η) can be calculated using the formula: Efficiency = (Output Work / Input Work) * 100%.

Given that the input work is 55 J and the output work is 51 J, we can substitute these values into the formula:

Efficiency = (51 J / 55 J) * 100% ≈ 92.73%.

Therefore, the efficiency of the blade adjuster is approximately 92.73%.

Explanation:

Efficiency quantifies the effectiveness of a machine in converting the input energy into useful output energy. In this case, the blade adjuster converts 51 J of input work into 51 J of output work. The efficiency of approximately 92.73% indicates that the blade adjuster is relatively efficient, as a high percentage of the input work is effectively converted into useful output work.

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The equation of the line that passes through the point  (-5, 4) and (1, -2) is; C) y - 4 = -(x + 5)

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Where x₁ - x coordinate, y₁ - y coordinate, m - slope

Point (-5, 4) and (1, -2)

Then Slope m = (-2 - 4)/(1 + 5)

m = -6/6 = -1

Now Write the equation as;

y - 4 =  -1(x + 5)

Hence, the equation of the line is; C) y - 4 = -(x + 5)

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Answer:

Option B is correct

The numerical values of the circumference and area are equal.

Step-by-step explanation:

Circumference(C) and Area (A)of the circle is given by:              ....[1]           ......[2]where, r is the radius of the circle.As per the statement:A circle has a diameter of 4 inches. We know:Diameter = 2 (radius(r))then;4 = 2rDivide both sides by 2 we have;r = 2 inchesSubstitute these in [1] and [2] we have;Use then;Therefore, the numerical values of the circumference and area are equal i.e 12.56

Answer:

I think it's <QSR but I am not sure

Answer:

\(\angle RSC\)

Step-by-step explanation:

Since the sum of all angles in a triangle is \(180^\circ\), we can write \(\angle QSR\) as \(180^\circ-(\angle SQR+\angle QRS)\). By the linear pair postulate, \(\angle RSC=180^\circ-\angle QSR\).

Substituting, we have

\(\angle RSC=180^\circ-\angle QSR\)

\(=180^\circ-(180^\circ-(\angle SQR+\angle QRS))\)

\(=\angle SQR + \angle QRS\),

as desired.

Answer:

102 childs

Step-by-step explanation:

A local deli makes turkey sandwiches and salami sandwiches at a weekly ratio of 2 salami sandwiches for every 5 turkey sandwiches. If the deli makes 60 turkey sandwiches this week, how many salami sandwiches did they make?

5 salami sandwiches

16 salami sandwiches

30 salami sandwiches

24 salami sandwiches

2 to 5 = x to 60

60/5 = 12

2 * 12 = 24

Answer:

length=2.5feet

Step-by-step explanation:

Volume =Base area * height

6/60=(4*length) * 6/6

10=4length

length=10÷4

=2.5feet

The length of the pyramid is 7.5 feet.

'A rectangular pyramid is a type of pyramid with the base shaped like a rectangle but the sides are shaped like a triangle. A pyramid usually has triangular sides but with different bases.'

According to the given problem,

Volume = 60 cubic feet

Height = 6 feet

Width of rectangular base = 4 feet

Let the length be x,

Volume =\(\frac{L * W * H}{3}\)

⇒ 60 = \(\frac{x*6*4}{3}\)

⇒ 180 = 24x

⇒ x = \(\frac{180}{24}\)

⇒ x =\(\frac{45}{6}\) = 7.5

Hence, we can conclude that the value of the length of the rectangular base is 7.5 feet.

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Answer:

A. 1/5

Step-by-step explanation:

1. The formula to find the slope of a line given two points is \(\frac{y_2-y_1}{x_2-x_1}\).

2. (Solving)

Therefore, the answer is A. 1/5.

\(\huge \bf༆ Answer ༄\)

Consider two points (-1 , 2) and (4 , 3)

Slope (m) of the graph is : -

\(꧁  \:  \large \frak{Eternal \:  Being } \: ꧂\)

Answer:

r = 3/4

Step-by-step explanation:

To derive the relationship between dP, Us, and Rt, we first need to understand the physical meaning of each term. Us is the speed at which the extrusion nozzle moves, dP is the pressure exerted by the nozzle on the material being deposited, and Rt is the radius of the cross-section of the track, which is a semi-circle in this case.

When the extrusion nozzle moves with speed Us, it exerts a pressure dP on the material, which causes it to flow and form the semi-circular track. The radius of the track, Rt, depends on the amount of material being deposited and the pressure exerted by the nozzle.

To derive the relationship between these variables, we can use the equation for the pressure required to extrude a semi-circular track: dP = 4μUs/Rt, where μ is the viscosity of the material being deposited. Rearranging this equation, we get Rt = 4μUs/dP.

Therefore, the relationship between dP, Us, and Rt is given by Rt = 4μUs/dP. This equation shows that the radius of the track is inversely proportional to the pressure exerted by the nozzle and directly proportional to the speed at which the nozzle moves.

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a. AB = FG, AC = FH, BC = GH

b. Remember that FG is the same as AB. This means that their values are equivalent. Therefore, FG = 9.

c. HG is the same as CB. If CB is 12, then HG must also be 12.

d. To solve for x, we'll need to set up an equation. We can do this by taking one of our known pairs of congruent sides and setting them equal to each other.

AB = FG

AB = 9

FG = 2x + 1

9 = 2x + 1

2x = 8

x = 4

Hope this helps!

Answer:28/445 or 6.2921 %

Step-by-step explanation:

There are 90 nuts all together. There are 14 pecans so it would be a 14/90 chance. Then since you are not replacing the nut there are 89 nuts. There are 36 cashews which would be a 36/89 chance. Because in the problem it says to find the probability of the selecting a pecan and then a cashew we know it is an and situation. Since it is an and situation you would multiply. You would do 14/90 times 36/89. This gives you 504/8010 which reduced is 28/445 or 6.2921%. Do you have and questions?

Answer:

1. x ≤ 15

2. x ≤ $13.00

3. x < 1ft tall

4. x > $100

5. x ≥ 20 pounds

6. x ≥ 3

7. x < 20

8. x < 17

9. x > 90

10. x ≥ $500

Answer:

C

Step-by-step explanation:

When the base, b, is greater than 1, the function y = a bˣ models exponential growth, while when the base, b, is between 0 and 1, the function models exponential decay

The function y = a.bˣ represents exponential growth or decay depending on the value of the base, b.

Exponential Growth:

When the base, b, is greater than 1 (b > 1), the function y = a.bˣ represents exponential growth. In this case, as x increases, the value of b^x also increases, resulting in a corresponding increase in y. The factor of b amplifies the growth, causing the function to grow at an accelerating rate.

For example, if b = 2, then y = a × 2^x represents exponential growth, where the function doubles with each unit increase in x. As x gets larger, the value of y grows at an increasing rate.

Exponential Decay:

When the base, b, is between 0 and 1 (0 < b < 1), the function y = a×bˣ represents exponential decay. In this case, as x increases, the value of bˣ decreases, resulting in a corresponding decrease in y. The factor of b causes the function to decay or decrease at a diminishing rate.

For example, if b = 0.5, then y = a × 0.5ˣ represents exponential decay, where the function halves with each unit increase in x. As x gets larger, the value of y decreases at a decreasing rate.

In summary, when the base, b, is greater than 1, the function y = a bˣ models exponential growth, while when the base, b, is between 0 and 1, the function models exponential decay.

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Given that Jackson digs a hole at a rate of 3/5 feet every 10 minutes, and he dug for 40 minutes. Thus, the total depth of the hole dug by him is given by:

3/5 x 4 = 12/5

= 2.4 feet (Depth of the hole dug by Jackson)

After he placed the plant in the hole, the depth of the plant is 9/10 feet.

So, the total depth of the hole that is filled after he placed the plant is:

2.4 + 9/10= 12/5 + 9/10

               = 24/10 + 9/10

               = 33/10 feet

Now, if we consider ground level as zero, then the elevation of the hole is 33/10 feet above the ground level.

Therefore, the relative elevation of the hole after placing the plant in the hole is 33/10 feet above ground level.

Jackson digs a hole at a rate of 3/5 feet every 10 minutes. After digging for 40 minutes, Jackson places a plant in the hole that fills exactly 9/10 feet of the hole. The problem is based on the concept of fraction addition and subtraction along with conversion of mixed fractions into improper fractions. Here, we need to calculate the elevation of the hole after the plant is placed. It is given that Jackson digs a hole at a rate of 3/5 feet every 10 minutes. After digging for 40 minutes, the total depth of the hole dug by Jackson is 2.4 feet. Now, when he places the plant in the hole that fills exactly 9/10 feet of the hole, the depth of the hole that is filled becomes 33/10 feet. Therefore, the relative elevation of the hole after placing the plant in the hole is 33/10 feet above ground level.

Relative elevation of the hole after placing the plant in the hole is 33/10 feet above ground level.

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Answer:

E and F

Step-by-step explanation:

(16/20 = 0.80)

14/8 = 1.75

9/10 = 0.90

8/5 =1.60

13/10 = 1.30

4/5 = 0.80

8/10 = 0.80

You have to to put the reduce the fractions and then put them in to decimal form then see if they are the same as the one you want it to be.

Answer:

-2x

Step-by-step explanation:

4x - 6x = -(6x - 4x) = -(2x) = -2x

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

what equation?

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

2(x+1)^2+3=21

2(x+1)^2=9

x+1=3

x=2

The bearing of R from P is found using trigonometry and the angle addition formula. The bearing is 210 degrees, with a distance of 3 from Q and 5 from P.

To find the bearing of R from P, we can use the bearings and distances given in the problem. Let P be a point, and line segment from P to Q with length 5. Then, from Q to R with length 3.

The angle of bearing of Q from P is 150 degrees, which means that the angle between the line segment PQ and the North direction is 150 degrees. We can say this angle as ∠PQ North. Similarly, the bearing of R from Q is 60 degrees, so we can say the angle ∠Q R North as 60 degrees.

Use trigonometry to find the angle between PR and the North direction. We can use the Law of Cosines to find the angle between PR and PQ:

cos(∠PQR) = (5^2 + 3^2 - PR^2) / (2 * 5 * 3)

cos(∠PQR) = (25 + 9 - PR^2) / 30

cos(∠PQR) = (34 - PR^2) / 30

Solving for cos(∠PQR), we get:

cos(∠PQR) ≈ 0.388

Taking the inverse cosine, we get:

∠PQR ≈ 67.6 degrees

Use the angle addition formula to find the bearing of R from P. Since we know the bearings of Q from P and R from Q, we can use the angle addition formula to find the bearing of R from P:

∠P R North = ∠PQ North + ∠Q R North

∠P R North = 150 degrees + 60 degrees

∠P R North = 210 degrees

Therefore, the bearing of R from P is 210 degrees (correct to the nearest degree).

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The possible length of the region after solving the quadratic equation is either 170ft or 50ft.

What is a quadratic equation?

A quadratic equation in algebra is any equation that can be written in the simpler form where x stands for an unknown value and a, b, and c are known quantities. The assumption is that a > 0; an equation with a = 0 is thought to be degenerate because they become linear or even simpler.

Solution Explained:
Lets assume, length = x and width = y

So we know, the area and perimeter is supposed to be 8500 and 440 respectively

we form the equations,

1) 8500 = xy , and                       [Area = length*width]

2) 440 = 2(x + y)                           [ Perimeter = 2(length +width)]

   220 = x + y

So, x = 8500/y (from equation 1) and put the value of x in 2

220 = x + (8500/x)

After solving this we get the quadratic equation,

x^2 - 220x + 8500 = 0

Solving the equation, we get

x = 170 or, x = 50 which are the two possible lengths of the region.

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Answer:

4 or -4

Step-by-step explanation:

The number on top (the numerator) is the absolute value of 8.  This is just asking the distance from 0.  8 is 8 units away from zero, but so is -8.

So the answer could be \(\frac{8}{2}\) or \(\frac{-8}{2}\), the answer simplified would be 4 or -4

Answer:

Simplify 2 pears , any pears  2 on the top and 2 on the bottom  and you will get your answer . You got this

Step-by-step explanation:

TRUE: Basketball players' height is seen as a continuous variable.

Yes, as lengths are continuous variables, the random variable does indeed refer to length.

Thus, Basketball players' height is seen as a continuous variable

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Based on the fictitious study of gender and ear piercing in high school students, we can conclude that the sample provides evidence that is too weak to conclude that gender and ear piercing are dependent in the population of high school students. Gender and ear piercing for high school students may be independent.

The study did not provide strong evidence that gender and ear piercing for high school students are dependent. In addition, the differences between observed and expected counts could be attributed to chance variation that occurs in random samples of high school students when gender and ear piercing are independent.

Therefore, the conditions are not met for use of the chi-square test of independence, and we cannot draw a conclusion based on this data.

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the curve length of C over the interval 0 ≤ t ≤ π/2 is (3π/2) units.

What is Parametric curve?

To find the curve length of the curve C defined by the parametric equations x = cos(3t) and y = sin(3t), where t ranges from 0 to π/2, we can use the arc length formula for parametric curves.

The arc length formula for a parametric curve defined by x = f(t) and y = g(t), where a ≤ t ≤ b, is given by:

\(L = ∫[a, b] √[ (dx/dt)^2 + (dy/dt)^2 ] dt\)

Let's calculate the arc length for the given curve C:

x = cos(3t)

y = sin(3t)

First, we need to find the derivatives dx/dt and dy/dt:

dx/dt = -3sin(3t)

dy/dt = 3cos(3t)

Now, let's substitute these derivatives into the arc length formula:

\(L = ∫[0, π/2] √[ (-3sin(3t))^2 + (3cos(3t))^2 ] dt\)

\(L = ∫[0, π/2] √[ 9sin^2(3t) + 9cos^2(3t) ] dtL = ∫[0, π/2] 3 √[ sin^2(3t) + cos^2(3t) ] dtL = ∫[0, π/2] 3 dtL = 3[t] from 0 to π/2L = 3(π/2 - 0)L = 3π/2\)

Therefore, the curve length of C over the interval 0 ≤ t ≤ π/2 is (3π/2) units.

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