Answer:
Step-by-step explanation:
Let us consider a data of prevalent diseases.
If the false positive rate is P(Test + | N) = 0.04
Therefore, sensitivity is defined as the probability of a positive test result given the presence of the disease. This can be written as: P (positive test | disease present).
Specificity is defined as the probability of a negative test result given absence of disease, that is, P (negativetest | diseaseabsent). PPV is defined as the probability of the presence of disease given a positive test result, ie, P (disease present | positivetest).
a) Does the Range Rule of Thumb estimate more often underestimate or overestimate the actual standard deviation?
The Range Rule of Thumb is a simple method to estimate the standard deviation based on the range of a dataset.
It states that approximately 68% of the data lies within one standard deviation of the mean, and about 95% of the data falls within two standard deviations of the mean.
In terms of underestimating or overestimating the actual standard deviation, the Range Rule of Thumb tends to underestimate the true standard deviation. This is because the rule assumes a uniform distribution of data within each standard deviation, which is not always the case in real-world datasets. In reality, data distributions can be skewed or have outliers, which the Range Rule of Thumb does not consider.
As a result, relying solely on the Range Rule of Thumb for estimating the standard deviation may lead to inaccuracies, especially in datasets with non-uniform distributions or significant outliers. More robust methods, such as the sample variance and standard deviation formulas, are preferred for accurate estimation.
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(h) Suppose we sample a new city whose particulate is 13 ppm. If reasonable, create a 95% interval for the predicted rate of childhood asthma in this city. If not reasonable, explain why.
Answer:
Explanation below
Step-by-step explanation:
First, it seems you are trying to get the 95% confidence interval (not just interval) for the predicted rate of Childhood Asthma in the city.
This city's particulate is 13 ppm.
The answer is "not reasonable".
Why?
This is because no data is given on the children in the city. 13 ppm is the value for the city's particulate; it is not the mean value for the predicted rate of childhood asthma in the city. If this mean value were available, the 95% confidence interval would be created around this mean.
Find the slope of the line that passes through each pair of points. Express as a fraction in simplest form. (-4.5, 9.5), (-1, 2.5)
Answer:
-2x is the slope, the full equation is y=-2x+.5.
Step-by-step explanation:
y=-2x+.5
Answer: The slope is -2.
Step-by-step explanation: Using the slope using the equation (y2-y1/x2-x1) you can find the slope. So 2.5 would be y2, 9.5 would be y1. After you plug in your numbers to the correct variable your answer should be -2.
Please answer? help me!
Reposting
Answer:
151 degrees
Step-by-step explanation:
the angle alternate to 50 degrees is also 50 degrees
now, we have 2 angles inside our triangle, we can use the angle sum property to find the third one, which is forming a linear pair with the angle 'x'
so, 29 + x = 180 (linear pair)
hence, x = 151 degrees
For data at the interval level you cannot calculate meaningful differences between data entries.
a. True
b. False
Answer: A. FALSE
Step-by-step explanation: The interval scale presents a measurement level for representing numerical variables in an ordered and fixed manner. Measurement are represented on the scale at equal intervals with each difference between consecutive intervals being the same. With this attribute, data represented on an interval scale gives meaningful difference between the data entries also allowing the US to know the size of the interval. Interval scales allows us to make subtraction and addition on data it's data. Examples of data represented on interval scale include, Temperature, ph and other numeric data with arbitrary zero levels
What’s an equivalent expression to 3/5 - 13/5
Answer:
-2
Step-by-step explanation:
Lee Jenkins worked the following hours as a manager for a local Pizza Hut: 67, 9,6 and 8 How many total hours did Lee
work?
Answer:
90 hours
Step-by-step explanation:
67 + 6 + 9 + 8 = 90 hoursHow is team performance calculated in SAFE?
Answer:
By strengthening key elements of their safety and health programs, they also can improve their overall organizational performance. In addition to the social benefits, employers that use leading indicators to find and fix hazards can realize direct savings to their bottom line.
Is 32.5 greater or less than 30.8
PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :)
Answer:
32.5 is greater than 30.8
Answer: greater than
Step-by-step explanation:
32.5 is greater than 30.8
32.5-30.8=1.7
The difference is positive, which means 32.5 is greater than 30.8
EXTRA: 32.5 is 1.7 more than 30.8
Hope this helps!! :)
Please let me know it you have any question
explain how you got the answer
Answer:
[tex]\huge\boxed{Center = (3,3),Radius = 2\sqrt{15} }[/tex]
Step-by-step explanation:
Given equation is
[tex]x^2 + y^2 -6x-6y -42 = 0[/tex]
Adding 42 to both sides
[tex]x^2 + y^2 -6x-6y = 42\\[/tex]
Completing squares
[tex]x^2 -6x+y^2 -6x = 42\\(x)^2 - 2(x)(3) +y^2 - 2(y)(3) = 42[/tex]
Adding (3)² => 9 and (3)² => 9 to both sides
[tex](x-3)^2+(y-3)^2 = 42+9+9\\(x-3)^2 + (y-3)^2 = 60\\(x-3)^2 (y-3)^2 = (2{\sqrt{15})^2}[/tex]
Comparing it with [tex](x-h)^2+(y-k)^2 = r^2[/tex] where Center = (h,k) and Radius = r
We get:
Center = (3,3)
Radius = [tex]2\sqrt{15}[/tex]
14. Can you devise a plan for finding the domain and the range of the relation shown in the graph? Explain.
Answer:
yes
Step-by-step explanation:
The domain is the set of x-coordinates of the points. The range is the set of y-coordinates of the points.
The plan would be to read and list the x-coordinates and the y-coordinates and use those lists as the answer to the question of domain and range, respectively.
63,416,831 to the nearest ten thousand help p
What is the scale factor & the length of x & y?
Answer:
see explanation
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original, thus
scale factor = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex] , then
x = [tex]\frac{2}{3}[/tex] × 9 = 2 × 3 = 6
y = [tex]\frac{2}{3}[/tex] × 7 = [tex]\frac{14}{3}[/tex]
In randomized, double-blind clinical trials of a new vaccine, were randomly divided into two groups. Subjects in group 1 received the new vaccine while subjects in group 2 received a control vaccine. After the second dose, of subjects in the experimental group (group 1) experienced as a side effect. After the second dose, of of the subjects in the control group (group 2) experienced as a side effect. Does the evidence suggest that a higher proportion of subjects in group 1 experienced as a side effect than subjects in group 2 at the level of significance?
Answer: YES.
the evidence supports this claim.
Step-by-step explanation:
We have that from the complete information,
H0: p1 = p2
Ha : p1 > p2
N1 = 654, P1 = 103/654
N2 = 615, P2 = 52/615
First we have to check the states of typicality that is if n1p1 and n1*(1-p1) and n2*p2 and n2*(1-p2) all are more prominent than equivalent to 5 or not
N1*p1 = 103
N1*(1-p1) = 551
N2*p2 = 52
N2*(1-p2) = 563
All the conditions are met so we can utilize standard typical z table to direct the test
Test measurements z = (P1-P2)/standard mistake
Standard blunder = √{p*(1-p)}*√{(1/n1)+(1/n2)}
P = pooled extent = [(p1*n1)+(p2*n2)]/[n1+n2]
After replacement
Test measurements z = 3.97
From z table, P(Z>3.97) = 0.000036
Thus, P-Value = 0.000036
As the got P-Value is not exactly the given noteworthiness 0.01
We reject the invalid speculation
Thus, we have enough proof to help the claim.that a higher extent of subjects in bunch 1 experienced drowsiness.
cheers I hope this helped !!
Classify the polygon. Then determine whether it appears to be regular or not regular. heptagon; regular octagon; regular nonagon; not regular octagon; not regular
Explanation:
There are 8 sides total since there are 2 sides per "arm" of this 4-sided star shape. So we have an octagon.
This octagon is not regular because some of the internal angles are over 180 degrees. This is due to this polygon being concave. In a concave polygon, some vertices are closer to the center compared to other vertices. For a regular polygon to be possible, all vertices must be the same distance away from the center.
In the diagram below, I have marked the vertices in red and blue. The red vertices are closer to the green center point, compared to the blue vertices.
Use the unit circle to find tan 30
Answer:
√3/3
Step-by-step explanation:
Memorize your unit circle.
30° is π/6 rad
tan(π/6) = √3/3
A segment in the complex plane has a midpoint at -1 + 7i. If one endpoint of the segment is at 3 + 8i, what is the other endpoint?
The other endpoint
Answer: -5 , 6i
Answer: mark me brainliest please!!
1. -3+(-1)i
2. -7.5+2.5i
3. -5+6i
4. -7+1i
Step-by-step explanation:
edge
Simplify the equation 4x+3y=45
Answer: y = -4/3x + 15
3y = 45 - 4x (subtract 4x from both sides)
y = -4/3x + 15 (divide both sides by 3)
Answer:
10.5=x
Step-by-step explanation:
subtract 3y from both sides the divide by 4x which gives you the answer 10.5=x
Hi can you please guide me through the steps to solve this problem?
Answer:
[tex]x = 27 \frac{1}{3} [/tex]
Step-by-step explanation:
The little square on ∠AOC indicates that it is a right angle, which means that ∠AOC= 90°
∠AOC= ∠AOB +∠BOC
90°= (x+8)° +2x°
x +8 +2x= 90
3x +8= 90 (simplify)
3x= 90 -8 (-8 on both sides)
3x= 82
x= 82 ÷3
[tex]x = 27 \frac{1}{3} [/tex]
In a different plan for area codes, the first digit could be any number from 2 through 5, the second digit was either 2, 3, 4, or 5, and the third digit could be any number except 4, 5, or 8. With this plan, how many different area codes are possible?
Answer:
Step-by-step explanation:
First digit 2,3,4,5 = 4 different digits.
Second digit 2,3,4,5 = 4 different digits.
Third digit = 1,2,3,6,7,9 = 6 different digits.
Total number of possibilities = 4*4*6 = 96
Help me please thank you
Answer: 55°
Step-by-step explanation: y and x are supplementary and equal 180°. Triangles also equal 180° so subtract the two angles you know and x is 125°. 180 - 125 = 55°
Answer:
y = 55°
Sum of the interior angles of a triangle = 180°
Therefore, x + 25°+30° = 180°
or, x + 55° = 180°
or, x = 180°-55°
or, x = 125°
Now, x + y = 180° ( straight angles)
125°+y = 180°
y= 55°
Find k so that the distance from (–1, 1) to (2, k) is 5 units. k= k= *there are two solutions for 2*
Answer:
k = -3
k =5
Step-by-step explanation:
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d = 5\\(-1,1) =(x_1,y_1)\\(2,k)=(x_2,y_2)\\[/tex]
[tex]5=\sqrt{\left(2-\left(-1\right)\right)^2+\left(k-1\right)^2}\\\\\mathrm{Square\:both\:sides}:\quad 25=k^2-2k+10\\25=k^2-2k+10\\\\\mathrm{Solve\:}\:25=k^2-2k+10:\\k^2-2k+10=25\\\\\mathrm{Subtract\:}25\mathrm{\:from\:both\:sides}\\k^2-2k+10-25=25-25\\k^2-2k-15=0\\\\\mathrm{Solve\:by\:factoring}\\\\\mathrm{Factor\:}k^2-2k-15:\quad \left(k+3\right)\left(k-5\right)\\\mathrm{Solve\:}\:k+3=0:\quad k=-3\\[/tex]
[tex]\mathrm{Solve\:}\:k-5=0:\quad k=5\\\\k =5 , k=-3[/tex]
A = (-1, 1) and B = (2, k) so:
[tex]d(A,B)=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}=\sqrt{(2-(-1))^2+(k-1)^2}=\\\\=\sqrt{3^2+(k-1)^2}=\sqrt{9+k^2-2k+1}=\sqrt{k^2-2k+10}\\\\\\d(A,B)=5\\\\\sqrt{k^2-2k+10}=5\quad|(\ldots)^2\\\\\big|k^2-2k+10\big|=25\\\\k^2-2k+10=25\qquad\vee\qquad k^2-2k+10=-25\\\\k^2-2k-15=0\qquad\vee\qquad k^2-2k+35=0\\\\\\\Delta_1=(-2)^2-4\cdot1\cdot(-15)=64>0\qquad\text{two solutions}\\\\\Delta_2=(-2)^2-4\cdot1\cdot35=-136<0\qquad\text{no solutions}\\\\\\k_1=\dfrac{2-\sqrt{64}}{2}=\dfrac{2-8}{2}=\dfrac{-6}{2}=\boxed{-3}[/tex]
[tex]k_2=\dfrac{2+\sqrt{64}}{2}=\dfrac{2+8}{2}=\dfrac{10}{2}=\boxed{5}[/tex]
mrs. diaz has 9 eggs. she cooks 5 eggs for breakfast. how many eggs are left? which model shows the problem?
Answer:
B
Step-by-step explanation:
Because 9 = 5 +4
Use any method to determine whether the series converges or diverges. Give reasons for your answer. sin Choose the correct answer below
A) The series converges because, by the Alternating Series lest, un sin _are nonincreasing for n25 sin
B) The series diverges because, by the Limit Comparison lest, is constant and lim n-70o diverges n 5 Vin O C.
C) The series diverges because, by the Integral Test,sin dx is divergent -- 0 D.
D) The series converges because, by the Ratio Test, lim sin n-oo
Answer:
hello the series to your question is missing attached below in the solution is the missing series
Answer : The series diverges because, by the Limit Comparison lest, is constant and lim n-70o diverges n 5 Vin O C. ( B )
Step-by-step explanation:
Attached below is the detailed solution of the question and the series is divergent because p = 1/5 < 1
A proposed design for a habitable Mars colony is a hemispherical
biodome used to maintain a breathable atmosphere for the colonists.
Estimate the radius of the biodome if it is required to contain 5.5
billion cubic feet of air.
Answer:
r = 1.37 billion feet
Step-by-step explanation:
It is given that,
A proposed design for a habitable Mars colony is a hemispherical biodome used to maintain a breathable atmosphere for the colonists.
The volume of biodome is 5.5 billion cubic feet of air.
It is in the shape of a hemisphere. The volume of a hemisphere is given by :
[tex]V=\dfrac{2}{3}\pi r^3[/tex], r = radius
V = 5.5 billion cubic feet
[tex]r^3=\dfrac{3V}{2\pi}\\\\r^3=\dfrac{3\times 5.5}{2\times 3.14}\\\\r=(\dfrac{3\times 5.5}{2\times 3.14})^{1/3}\\\\r=1.37\ \text{billion feet}[/tex]
So, the radius of the biodome is 1.37 billion feet.
The radius of the biodome if it is required to contain 5.5 billion cubic feet of air is 1.38 billion feet and this can be determined by using the formula of the volume of the hemisphere.
Given :
A proposed design for a habitable Mars colony is a hemispherical biodome used to maintain a breathable atmosphere for the colonists.Volume of the biodome is 5.5 billion cubic feet.The following steps can be used in order to determine the radius of the biodome:
Step 1 - The formula of the volume of the hemisphere can be used in order to determine the radius of the biodome.
Step 2 - Formula of the volume of the hemisphere is given by:
[tex]\rm V =\dfrac{2}{3}\pi r^3[/tex]
where r is the radius of the hemisphere.
Step 3 - Now, substitute the value of V in the above formula in order to determine the value of 'r'.
[tex]\rm 5.5=\dfrac{2}{3}\pi r^3[/tex]
Step 4 - Simplify the above expression.
[tex]r^3=\dfrac{5.5\times 3}{2\pi}[/tex]
[tex]r = \sqrt[3]{\dfrac{16.5}{2\pi}}[/tex]
r = 1.38 billion feet
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Which function is represented by the graph
Answer:
I think its C
f(x) = -|x-4| + 3
Can anyone help me with this math problem? There are 5 pharmacists where 2 work 35 hours a week, and another 2 work 40 hours a week. While the other is undetermined. Although, the average amount of hours worked among the 5 employees is 40 hours. Use algebra to figure out the value of the undetermined employee’s hours, aka x. By
Greetings from Brasil...
The expression that allows to calculate the average would be:
M = (A + B + C + D + E )/5where A, B, C, D and E are the pharmacists....
A and B = work 35
C and D = works 40
E = ??
average = M = 40
M = (A + B + C + D + E )/5
40 = (35 + 35 + 40 + 40 + E)/5
200 = 150 + E
E = 200 - 150
E = 50So, pharmacists E works 50h/week
The product of two positive rational numbers is greater than either factor.is sometimes true
Answer:
It is sometimes true
Step-by-step explanation:
Fractions are positive rational numbers, and 2*1/2 is 1, which is less than 2. Here's a picture that might help.
Simplify the following expression.
Be sure to follow the correct oder of operations.
23.3 + 5.4 x 15.75
Answer:
108.35
Step-by-step explanation:
Order of Operations: PEMDAS
PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction.
First, multiply 5.4 with 15.75:
5.4 x 15.75 = 85.05
Next, add:
85.05 + 23.3 = 108.35
108.35 is your answer.
~
Answer:
108.35Step-by-step explanation:
[tex]23.3+5.4\cdot \:15.75\\\\\mathrm{Multiply\:the\:numbers:}\:5.4\cdot \:15.75=85.05\\=23.3+85.05\\\\\mathrm{Add\:the\:numbers:}\\:23.3+85.05=108.35[/tex]
Graph the exponential function.
f(x)= -(5/2)^x
Answer:
see below
Step-by-step explanation:
Your spreadsheet or graphing calculator can do this for you.
__
If you want to do it by hand, pick a few values for x, compute the corresponding values of f(x), plot those points, and draw a smooth curve through them. You know the horizontal asymptote is y=0, and the whole graph is in the 3rd and 4th quadrants, since the exponential function has been reflected over the x-axis by the leading minus sign.