Answer:
Step-by-step explanation:
Given that:
An epidemiologist found five cases of "big toe cancer" in the Yukon Territory.
Therefore, shoe size > 9
1) From the required data given below
Case Control Total
Yes 2(a) 3(b) 5
No 3(c) 2(d) 5
Total 5 5 10
∴ odds ratio = ad/bc
= 4/9
=0.444
2) From the less than 1.0 mean that the odds of cancer among case is lower than the odds of cancer among controls
Lila flies a drone in the direction of 90° towards Avery. Once she gets to Avery she changes course and flies in the direction of 200° towards Mark. Lila and Avery are 20 feet apart; Mark and Avery are 30 feet apart. How far apart are Mark and Lila?
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
We are interested in knowing more about the number of hours students study for ST 311 each week. We know that there are 800 students enrolled in the course, with 35 students per section. We also know that ST 311 students study 10 hours a week on average, and that the standard deviation is 2 hours. We randomly sample 40 students taking the course, and record the average number of hours that they study per week. What is the sample size? A. 35 B. 40 C. 100 D. 800
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.
Alex was playing a board-game with a six-sided die. She tossed the die for her turn. What is the probability of 5?
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
Which of the following are always true in a logical system? Check all that
apply.
A. Theorems
B.Corollaries
C.Postulates
D. Conditional statements
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
Write an equation of a circle with Center -5 -7 that through the point 0 0
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
PLEASE HELP 20 POINTS + BRAINLIEST IF ANSWERED Which method correctly solves the equation using the distributive property? Negative 0.2 (x minus 4) = negative 1.7 Negative 0.2 (x minus 4) = negative 1.7. Negative 0.2 x minus 4 = negative 1.7. Negative 0.2 x = 2.3. x = negative 11.5. Negative 0.2 (x minus 4) = negative 1.7. x minus 4 = 0.34. x = 4.34. Negative 0.2 (x minus 4) = negative 1.7. Negative 0.2 x + 0.8 = negative 1.7. Negative 0.2 x = negative 2.5. x = 12.5. Negative 0.2 (x minus 4) = negative 1.7. Negative 0.2 x minus 0.8 = negative 1.7. Negative 0.2 x = negative 0.9. x = 4.5.
Answer:
i would say B
hope i could help
Answer:
B is the answer
Step-by-step explanation:
A stem and leaf plot shows data in _____ order.
alphabetical
numerical
reverse
Answer:
Numerical
because numerical order is an arrangement of a series of items by numbers in a sequential order.
The manufacturer of an airport baggage scanning machine claims it can handle an average of 560 bags per hour. (a-1) At α = .05 in a left-tailed test, would a sample of 16 randomly chosen hours with a mean of 538 and a standard deviation of 50 indicate that the manufacturer’s claim is overstated? Choose the appropriate hypothesis.
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
g(x) = 5x – 3, find g(-4).
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
how much longer is a 1-inch button than a 3/8-inch button?
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:
Will give brainliest!!!
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
Which of the following trigonometric equations meets the criteria given? amplitude = 3, period = , phase shift = y = 3sin(x-) y = 3sin2(x-) y = 3sin2(x-2)
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.
Rocky Mountain National Park is a popular park for outdoor recreation activities in Colorado. According to U.S. National Park Service statistics, 46.7% of visitors to Rocky Mountain National Park in 2018 entered through the Beaver Meadows park entrance, 24.3% of visitors entered through the Fall River park entrance, 6.3% of visitors entered through the Grand Lake park entrance, and 22.7% of visitors had no recorded point of entry to the park.† Consider a random sample of 175 Rocky Mountain National Park visitors. Use the normal approximation of the binomial distribution to answer the following questions. (Round your answers to four decimal places.)
(a) What is the probability that at least 85 visitors had a recorded entry through the Beaver Meadows park entrance?(b) What is the probability that at least 80 but less than 90 visitors had a recorded entry through the Beaver Meadows park entrance?(c) What is the probability that fewer than 12 visitors had a recorded entry through the Grand Lake park entrance?(d) What is the probability that more than 55 visitors have no recorded point of entry?
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
Ms catall is using a compass to find her way out of the woods the compass has a radius of 4cm what is the compass’s area
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
Dead leaves accumulate on the ground in a forest at a rate of 5 grams per square centimeter per year. At the same time, these leaves decompose at a continuous rate of 65 percent per year.A. Write a differential equation for the total quantity Q of dead leaves (per square centimeter) at time t:dt/dQ= ?B. Sketch a solution to your differential equation showing that the quantity of dead leaves tends toward an equilibrium level. Assume that initially (t=0) there are no leaves on the ground.What is the initial quantity of leaves? Q(0)= ?What is the equilibrium level? Qeq= ?
Answer:
ik this not an answer but i reccomend a science calculaor with these questions
Step-by-step explanation:
Please answer this correctly
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!
A project team assesses their primary risk factor's probability of failure with a maturity risk of 0.3, a complexity risk of 0.7, and a dependency risk of 0.8. The probability of failure is:
a. Greater than 0.3 but less than or equal to 0.55.
b. Greater than or equal to 0.9.
c. Greater than 0.56 but less than or equal to 0.89.
d. Less than or equal to 0.3.
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
What is the midline equation of the function? do I add 5.5 to 3.5 then divide ? Thanks in advance
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
Please answer this math question im desperate!! thank you!! will give brainliest!!
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.
Please answer this correctly I have to finish this today.I want genius people or expert people to answer this correctly without making mistakes
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.
Whysudushysususuajsbzgstsysyzyxyzyzusushshshshhshshshshshshshshdhdususududu
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]
What is the median of the following set of data?
(4,1,3,6,1,7)
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!
H(x)=17+x/6 what is h(-18)=
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.
What is function?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.
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How many cubes of side 3 cm can be cut from a wooden solid cuboid with dimensions 12 cm x 12 cm x 9 cm?
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
A board measures 2½m by 1¼m and costs 750 naira. calculate the cost of 1m² of the board.
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
how much is 78ml when you turn it to litres
Answer:
0.078 liters
Step-by-step explanation:
78ml=78/1000L
78ml=0.078ml
Talia tossed a penny many times. She got 20 heads and 55 tails. She said the experimental probability of getting heads was
20
55
. Explain and correct her error by completing the sentence. Enter your answer as a simplified fraction.
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]
Students in 7 grade took a standardized math test that they also had taken in 5 grade. The collected data showed that in two years the median increased by three points, and the mean increased by around two and a half points. In term of the contex, what can you infer?
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.
What is the length of CD?
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
What is the Pythagorean theorem?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
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Choose the best answer to explain whether the question is statistical or not statistical. How far from work does Jeremy live?
Answer:
not statistical
Step-by-step explanation: