An epidemiologist found five cases of "big toe cancer" in the Yukon Territory. Because there were only a few cases, the epidemiologist decided to conduct a matched case-control study to determine whether shoe size larger than 9 is a risk factor for big toe cancer. Cases were individually matched to one control for daily activity, history of athlete’s foot, and history of ingrown toenails. The following data were gathered:
Shoe size > 9
Pair Case Control
1 Yes No
2 No No
3 No Yes
4 Yes Yes
5 No Yes
Compute the proper measure of association.
Interpret your results.
If you were to investigate a rare cancer in Lynchburg, where might you look for data?
What would be necessary legally and ethically to be able to utilize this data set(s)?
Submit your thread by 11:59 p.m. (ET) on Thursday of Module/Week 3, and submit your replies by 11:59 p.m. (ET) on Sunday of the same module/week.

Answer: D

Step-by-step explanation:

We can solve for k by plugging in the x-intercept. We know that the x-intercept is 4, therefore the y is 0. The coordinates would be (4,0). Now that we have our x and y, we can plug in and solve for k.

4k+2(0)+8=0

4k+0+8=0

4k+8=0

4k=-8

k=-2

Answer:

240naira

Step-by-step explanation:

The board measures 2½m by 1¼m

The area of the board is;

2½× 1¼ = 5/2 × 5/4 = 25/8 m²;

But 25/8 m² cost 750 naira;

Therefore 1m² cost 750 / 25/8

750 × 8/25 =

30 × 8

240naira

Answer:

The calculated value t = 1.76 < 2.131 at 0.05 level of significance

Null hypothesis is accepted

The manufacturer’s claim is greater than 560 bags per hour

Step-by-step explanation:

Explanation:-

Given sample size 'n' =16

Given the manufacturer of an airport baggage scanning machine claims it can handle an average of 560 bags per hour.

mean of the Population 'μ' = 560

Mean of the sample Χ⁻ = 538

sample standard deviation' S' = 50

Null hypothesis:H₀:μ > 560

Alternative Hypothesis:H₁ : :μ < 560 (left tailed test)

Test statistic

   [tex]t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }[/tex]

  [tex]t = \frac{538-560 }{\frac{50}{\sqrt{16} } } = -1.76[/tex]

|t| = |-1.76| = 1.76

Degrees of freedom

γ = n-1 =16-1 =15

[tex]t_{\frac{\alpha }{2} } = t_{\frac{0.05}{2} } =t_{0.025} =2.131[/tex]

Conclusion:-

The calculated value t = 1.76 < 2.131 at 0.05 level of significance

Null hypothesis is accepted

The manufacturer’s claim is greater than 560 bags per hour

Answer:

For this case we know that in many times a penny shoes 20 head and 55 tails so then the total of trials are:

[tex] n = 20 +55=75[/tex]

Then we are interested in the probability of getting heads and if we use the Laplace formula we have:

[tex] p =\frac{Possible}{total}[/tex]

And the correct way would be:

[tex] p =\frac{20}{20+55}=\frac{20}{75}[/tex]

If we simplify we got:

[tex] p =\frac{4}{15}[/tex]

And the error was because she use 55 as the total number of trials and that's not the size of the sample space and for this reason she got [tex]\frac{20}{55}[/tex]

Step-by-step explanation:

For this case we know that in many times a penny shoes 20 head and 55 tails so then the total of trials are:

[tex] n = 20 +55=75[/tex]

Then we are interested in the probability of getting heads and if we use the Laplace formula we have:

[tex] p =\frac{Possible}{total}[/tex]

And the correct way would be:

[tex] p =\frac{20}{20+55}=\frac{20}{75}[/tex]

If we simplify we got:

[tex] p =\frac{4}{15}[/tex]

And the error was because she use 55 as the total number of trials and that's not the size of the sample space and for this reason she got [tex]\frac{20}{55}[/tex]

Answer:

The midline of the function is y = 2.

Step-by-step explanation:

Midline is the horizontal line that passes exactly in the middle between the graph's maximum and minimum points.

The midline of a sinusoidal function passes exactly in the middle of its extreme values.

Since the amplitude of a sinusoid is equal to the vertical distance from its midline to one of its extrema, we can calculate the midline using one of the following formulas.

midline = max value − amplitude

midline = min value + amplitude

According to the graph, the maximum value of the function is 5.5, and the amplitude is 3.5.

So, the midline is

midline = max value − amplitude

midline = 5.5 − 3.5 = 2

Answer:

not statistical

Step-by-step explanation:

Answer:

ik this not an answer but i reccomend a science calculaor with these questions

Step-by-step explanation:

Answer:

  7.07

Step-by-step explanation:

The area of the whole circle is given by the formula ...

  A = πr^2

For the given values, the area of the circle is ...

  A = 3.14(3 in)^2 = 28.26 in^2

One-quarter of that area is ...

  (28.26 in^2)/4 = 7.065 in^2

The area of the quarter-circle is about 7.07 square inches.

Answer:

[tex] = 7.065 {in}^{2} [/tex]

Step-by-step explanation:

[tex] area = \frac{90}{360} \times \pi {r}^{2} \\ \frac{1}{4} \times 3.14 \times 3 \times 3 \\ = \frac{28.26}{4} \\ = 7.065 \: \: {in}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer: 29.8ft

Step-by-step explanation:

suppose that the angles are measured from an x-axis.

we know that:

Lila and Avery are 20 feet apart.

Mark and Avery are 30 feet apart.

If we locate the position of Lila in the (0, 0)

and we use the relation:

x = r*cos(θ) and y = r*cos(θ)

Then the position of Avery is:

P = (20ft*cos(90°), 20ft*sin(90°)) = (0, 20ft)

and the position of mark will be:

P = (0 + 30ft*cos(200°), 20ft + 30ft*sin(300)) = (-28.2ft, 9.7ft)

And because Lila is at the origin, the distance between Mark and Lila is equal to the module of that vector,

Distance = √((28.2ft)^2 + (9.7ft)^2) = 29.8ft

Step-by-step explanation:

In general, the students increased their standardized math scores from 5th grade to 7th grade.

The students might be more familiar with the exam and they have learned more in their math classes.

Answer:

b) -6

Step-by-step explanation:

[tex]2\sqrt{10+n} = 4[/tex]

Divide both sides by 2

[tex]\sqrt{10+n} = 2[/tex]

Square both sides of the equation

[tex]10+n=4[/tex]

Isolate the variable

[tex]n = 4 - 10[/tex]

[tex]4 -10 = - 6[/tex]

[tex]n = - 6[/tex]

Answer: -23

Step-by-step explanation: Let me know if you need an explanation.

Answer:

-23

Step-by-step explanation:

g(x) = 5x – 3

g(-4) means substitute -4 for x in the expression above.

Hence

g(-4) =5(-4) – 3 = -20-3 = -23

Answer:

48 cubes can be cut from the wooden cuboid

Step-by-step explanation:

Total calculate this, we will first of all find the volume of the cuboid, and the volume of the cubes to be cut, then divide the volumes to see how many cubes can be cut from the cuboid.

Volume of cuboid = 12 × 12 × 9 = 1296 cm

volumes of each cube to be cut = 3 × 3 × 3 = 27 cm

Next, we will divide the volume of cuboid by the volume of the cubes:

Number of cubes = Volume of cuboid ÷ volume of cubes

Number of cubes = 1296 ÷ 27 = 48 cubes

Therefore, 48 cubes of sides 3cm can be cut from the wooden cuboid

Answer:

the last one

Step-by-step explanation:

Answer:

y = 3sin2(x - pi)

Step-by-step explanation:

The number in front of the trigonometric value (sin, cos, tan, etc.) indicates the amplitude. If the period is pi then the value in front of x must be 2, because frequency (in other words, the period) is determined by the equation 2pi/B, where the value in front of (x) is B. And if the phase shift is pi, or positive pi, then the corresponding equation must be (x - pi) because it's always the opposite.

Answer:

Surface Area is 16π mm²

Step-by-step explanation:

Remember me? (I answered your question before) Do I count as "genius people or expert people"? I certainly hope so.

The area for a cylinder's surface area is

a=2πrh+2πr²

The cylinder base's radius is 2 mm

The cylinder's height is 2 mm

Putting into the equation:

a=2×π×2×2+2×π×2²

a=2π×2×2+2×π×2²

a=4π×2+2×π×2²

a=8π+2×π×2²

a=8π+2×π×4

a=8π+2π×4

a=8π+8π

a=16π

The surface area of the cylinder is 16π mm².

Answer:

50.24

Step-by-step explanation:

→To find a circle's (compass) area, you must use the following formula:

A = π[tex]r^2[/tex]

→All you need to do is plug in 4 for the "r," (radius), and solve:

A = π[tex]4^2[/tex]

A = π[tex](16)[/tex]

→When you multiply 16 by pi, we're going to use 3.14:

A = 3.14(16)

A = 50.24

Answer:

A

Step-by-step explanation:

It IS a function because it passes the vertical line test.

If you drew vertical lines through any part of the graph, it would only touch one point, showing that it is a function.

Answer:

B. 40

Step-by-step explanation:

What do you understand by sample size; a sample size is a little portion of a large number we which to investigate. Imagine we wanted to know the electricity consumption of people in a town of 200million people sometimes we could do that be investigating that of 50million especially when you know the conditions would be no different from others. In this sense the sample size is 50 million because that's the one we are investigating.

Similarly our concern of interest for investigation is 40, so that's the sample size.

Answer:

b. Greater than or equal to 0.9.

Step-by-step explanation:

We have three types of risks, that can make the project fail independently.

The probability of failure have to be calculated as the complement of the probability of success, and the probability of success is the probability of avoiding each of the risks.

The probability of avoiding each of the risks is the complementary probability of each risk. For example, the probability of avoiding the maturity risk (0.3) is 1-0.3=0.7.

Then, we can calculate the probabilty of success as:

[tex]P_s=(1-P_{mr})(1-P_{cr})(1-P_{dr})\\\\P_s=(1-0.3)(1-0.7)(1-0.8)\\\\P_s=0.7\cdot 0.3\cdot 0.2\\\\P_s=0.042[/tex]

Then, the probability of failure is the complementary of the probability of success:

[tex]P_f=1-P_s\\\\P_f=1-0.042=0.958[/tex]

The probability of failure is Pf=0.958

Answer:

If h(x) = 17 + x/6, then h(-18) will equal to 14.

Step-by-step explanation:

We are given an equation...

h(x) = 17 + x/6

When you see h(x), the x represents the value that will be substituted in the equation. "For example, if you have h(9), then 9 would be your x-value." So, we are given h(-18) which means that -18 will be our x-value for this equation. Now that we know this, let's plug in this number into the equation.

h(x) = 17 + x/6

First, substitute the x-value which is -18.

h(-18) = 17 + (-18/6)

Next, divide -18 by 6.

h(-18) = 17 + (-3)

Since -3 is in front of a plus sign, then the equation would be like subtracting 3 from 17 so we will just replace the plus sign (+) with a minus sign (-).

h(-18) = 17 - 3

Now, subtract 3 from 17.

h(-18) = 14

Finally, you have your answer which is 14.

The value of H(x)=17+x/6  at H(-18) is 14.

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range.

given:

H(x)=17+x/6

Now, we have to find the value of the function at x= -18

So, H(-180= 17+ (-18)/6

H(-18)= 17 - 3

H(-18)= 14

hence, the value of H(-18) is 14.

Learn more about function here:

https://brainly.com/question/12431044

#SPJ5

Answer:

0.078 liters

Step-by-step explanation:

78ml=78/1000L

78ml=0.078ml

Answer:

0.1667 = 16.67% probability of 5

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

The die can have 6 possible outcomes(1, 2, 3, 4, 5 and 6).

5 is one of the outcomes. So

p = 1/6 = 0.1667

0.1667 = 16.67% probability of 5

Answer:

Step-by-step explanation:

Standard CDs have a diameter of 120 millimetres (4.7 in) and can hold up to about 80 minutes of uncompressed audio or about 700  MiB of data. The Mini CD has various diameters ranging from 60 to 80 millimetres (2.4 to 3.1 in); they are sometimes used for CD singles, storing up to 24 minutes of audio, or delivering device drivers.

The answer is option B) 26

Pythagoras' theorem states that “In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

Hypotenuse² = Perpendicular²+ Base²

c² = a² + b²

Given here,  BC=37 , CA=53 and ∠C=∠B=90°  therefore by Pythagoras theorem we can write  AB² = 37²+53²

                                     AB= 64.63

again using Pythagoras' theorem we have where ∠B is 90°

AB² + BD² = AD²

AB² + 37² + CD² = (CD+53)²

(64.63)² + 37² + CD² = CD² + 106CD +53²

CD²=(64.63²-53²+37²)/106

CD=26 (approx)

Hence the final answer is 26

Learn more about Pythagoras' theorem here:

https://brainly.com/question/21926466

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Answer:

a) 0.6628 = 66.28% probability that at least 85 visitors had a recorded entry through the Beaver Meadows park entrance

b) 0.5141 = 51.41% probability that at least 80 but less than 90 visitors had a recorded entry through the Beaver Meadows park entrance

c) 0.5596 = 55.96% probability that fewer than 12 visitors had a recorded entry through the Grand Lake park entrance.

d) 0.9978 = 99.78% probability that more than 55 visitors have no recorded point of entry

Step-by-step explanation:

Using the normal approximation to the binomial.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

In this problem, we have that:

175 visitors, so [tex]n = 175[/tex]

a)

46.7% through the Beaver Meadows, so [tex]p = 0.467[/tex]

[tex]\mu = E(X) = np = 175*0.467 = 81.725[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{175*0.467*0.533} = 6.6[/tex]

This probability, using continuity correction, is [tex]P(X \geq 85 - 0.5) = P(X \geq 84.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 84.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{84.5 - 81.725}{6.6}[/tex]

[tex]Z = 0.42[/tex]

[tex]Z = 0.42[/tex] has a pvalue of 0.6628.

66.28% probability that at least 85 visitors had a recorded entry through the Beaver Meadows park entrance.

b)

This is [tex]P(80 - 0.5 \leq X < 90 - 0.5) = P(79.5 \leq X \leq 89.5)[/tex], which is the pvalue of Z when X = 89.5 subtracted by the pvalue of Z when X = 79.5. So

X = 89.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{89.5 - 81.725}{6.6}[/tex]

[tex]Z = 1.18[/tex]

[tex]Z = 1.18[/tex] has a pvalue of 0.8810.

X = 79.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{79.5 - 81.725}{6.6}[/tex]

[tex]Z = -0.34[/tex]

[tex]Z = -0.34[/tex] has a pvalue of 0.3669.

0.8810 - 0.3669 = 0.5141

0.5141 = 51.41% probability that at least 80 but less than 90 visitors had a recorded entry through the Beaver Meadows park entrance

c)

6.3% over the Grand Lake park entrance, so [tex]p = 0.063[/tex]

[tex]\mu = E(X) = np = 175*0.063 = 11.025[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{175*0.063*0.937} = 3.2141[/tex]

This probability is P(X < 12 - 0.5) = P(X < 11.5), which is the pvalue of Z when X = 11.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{11.5 - 11.025}{3.2141}[/tex]

[tex]Z = 0.15[/tex]

[tex]Z = 0.15[/tex] has a pvalue of 0.5596.

55.96% probability that fewer than 12 visitors had a recorded entry through the Grand Lake park entrance.

d)

22.7% with no recorded point, so [tex]p = 0.227[/tex]

[tex]\mu = E(X) = np = 175*0.227 = 39.725[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{175*0.227*0.773} = 5.54[/tex]

This probability is [tex]P(X \leq 55 + 0.5) = P(X \leq 55.5)[/tex], which is the pvalue of Z when X = 55.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{55.5 - 39.725}{5.54}[/tex]

[tex]Z = 2.85[/tex]

[tex]Z = 2.85[/tex] has a pvalue of 0.9978

99.78% probability that more than 55 visitors have no recorded point of entry

Answer:

A. Theorems

and

B.Corollaries

Step-by-step explanation:

Answer:

theorems  corollaries postulates  

Step-by-step explanation:

you need to click all three for a correct answer

Answer: 3.5

Step-by-step explanation: First, let's put the data set from least to greatest....

1, 1, (3, 4,) 6, 7

The median is the middle number in the data, since it's an even number we will have to do an extra step...

3 + 4 = 7

7 ÷ 2 = 3.5

The median is 3.5, I hope this helps!

Answer:

5/8

Step-by-step explanation:

If you take 1/1 and subtract it by 3/8 you will get the answer 5/8

So the 1 inch button is 5/8 longer than the 3/8 button.

Answer:

5/8

Step-by-step explanation:

Answer:

Numerical

because numerical order is  an arrangement of a series of items by numbers in a sequential order.

Answer:

The third one, (x+5)^2 + (y+7)^2 = 74

Step-by-step explanation:

The equation for a circle is in the form (x-x coordinate)^2 + ( y - y coordinate )^2 = r^2

the radius is 5^2 + 7^2 = 25 + 49 = 74

and the center is (-5,-7), so it is + 5 and + 7

Answer:

i would say B

hope i could help

Answer:

B is the answer

Step-by-step explanation: