The overall accuracy of the screening test for a newly discovered disease is being evaluated for this case is 87.78% approximately.
What is the accuracy of a test?Accuracy of a test is the ratio of the correct results to the total results the test gives.
Thus, we have:
[tex]\rm Accuracy =\dfrac{\text{Total number of correct results}}{\text{Total number of results}} = \dfrac{TP + TN}{TP + FP + TN + FN}[/tex]
where T represents True, F represents False, N represents Negative, and P represents Positive. The negativity and positivity are the results of the test.
For this case, we're specified that:
The test is happening for diagnosis of a newly discovered disease.Total number of tests done = total number of workers administered = 900True positive (TP)= test result positive (ie test saying that the person has disease) when disease is actually present (that actual presense is known by some other method, and here we're evaluating the quality of 'disease testing procedure' in consideration) = 150 in count.False Negative (FP)= test result negative (no disease detected by the test) when person is diseased in reality = 60False positive (FN) = test result positive when person has no disease in reality = 50As total 900 tests were done, so we get: True negative(TN) = 900 - TP - FP - FN = 640(as each test result would be one of the TP, TN, FP, FN and these four no test result can lie in more than one of these categories).
Now, we have:
true results = TP + TN = 640 + 150 = 790
total results = 900
Thus, we get:
[tex]\text{Test accuracy} = \dfrac{TP + TN}{TP + FP + TN + FN} = \dfrac{790}{900} \approx 0.8778 = 87.78%[/tex]
Thus, the overall accuracy of the screening test for a newly discovered disease is being evaluated for this case is 87.78% approximately.
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Use the information provided to answer Part A and Part B.
During the first month of the year, Beckah bikes 6 miles. Each month after that, she bikes twice as many miles as she biked during the previous month.
Part A
Which equation models how many miles, d, Beckah bikes during the nth month of the year?
d=6+2n
d=6+2(n−1)
d=6⋅2^n
d=6⋅2^n−1
Part B
How many miles did Beckah bike during the fifth month of the year?
14 miles
16 miles
96 miles
192 miles
The equation that models the number of miles that Beckah bikes during the nth month of the year will be D. 6 × 2^n−1.
How to calculate the equation?From the information, the equation that models the number of miles that Beckah bikes during the nth month of the year will be 6⋅2^n−1.
The number of miles that Beckah bike during the fifth month of the year will be:
= 6⋅2^5 −1.
= 6 × 16
= 6 × 16
= 96 miles.
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The two figures are congruent. Which of the following statements is true?
Answer:
The answer would be D
Step-by-step explanation:
Your friend has $100 when he goes to the fair. He spends $10 to enter the fair and $20 on food. Rides at the fair cost $2. 00 per ride. Which function can be used to determine how much money he has left over after x rides? (1 point)
In the triangle below a=16. What is the area of the triangle to the nearest hundredth of a unit?
Answer:
-3.65
Step-by-step explanation:
(16/sin 120) sin 25
What’s The Answer To This? Please Help Fast
Answer:
x=30
Step-by-step explanation:
you would call those alternate exterior angles meaning that they are the same angle, so all you have to do is reverse the equation meaning you do 75-15=60 and you would then divide by 2 to get X so 60/2=30, so x=30
Answer:
x = 30
Step-by-step explanation:
2x+15 should be vertical to angle 5
75 is vertical to angle 4.
If we were to look at angles 4 and 5 those are alternate interior which means they have to be congruent.
2x+15=75
2x=75-15
2x=60
x=30
Solve the equation 4(x + 5) = 9x + 4x − 34, and show your work
Answer:
x = 6
Step-by-step explanation:
: 4(x + 5) = 9x + 4x − 34
Combine Like Terms:
- 4x + 20 = 9x + 4x − 34
- 4x + 20 = 13x − 34
Subtract 20 from both sides:
- 4x + 20-20 = 13x − 34-20
Subtract The numbers:
= 4x = 13x - 54
Subtract 13x from both sides:
= 4x-13x = 13x - 54-13x
Combine Like terms:
- 9x = -54
Divide both sides by the same factor:
-9x / -9 = -54 / -9
Cancel terms that are in both the numerator and denominator:
x = -54/-9
Divide the Numbers:
x = 6
Mr Gleasons math class lasts for 40 minutes. Math class starts at 9;55 AM. At what time does math class end?
Answer:
Math class ends at 10:35 AM.
Step-by-step explanation:
To find the answer, you need to add 40 minutes to the timestamp if 9:55 AM. There are 60 minutes in an hour, so you add five minutes to get to 10:00. 40-5=35. Now add 35 minutes to 10:00. The answer is 10:35 AM.
Answer:
The answer is 10:35 AM.
Step-by-step explanation:
Given;Mr Gleasons math class lasts for 40 minutes.Math class starts at 9:55 AM.To Find;At what time does math class end.Here, we know that in one hour there's 60 minutes.
1 hour = 60 minutes.
So, add 40 minutes in 9:55
9:55 + 40 minutes = 10:35 AM
Thus, Mr Gleasons math class will end at 10:35 AM.
An ice cream shop sold 88 scoops of strawberry ice cream, which was 25% of the total number of scoops sold that day. What was the total number of ice cream scoops sold by the ice cream shop that particular day?
Answer:
352
Step-by-step explanation:
if 88 is only a forth
88*4=352
a. (-9,-6)
b. (-6,-9)
c. (9,6)
d. (6,9)
Answer:
The answer is D because if you reflect across the y-axis then the x-axis you get D
Determine the intercepts of the line.
Y-intercept: ( __ , __ )
X-intercept: ( __ , __ )
Answer:
x-intercept : (-1.2,0)
y-intercept : (0,-0.7)
Step-by-step explanation:
Hello!
An x-intercept is when the y-value is 0, and a y-intercept is when the x value is 0.
Another way to think about it, x-intercepts intersect with the x-axis, while the y-intercept intersects with the y-axis.
A coordinate, a point on a graph, is written as (x,y) or x-position and y-position.
x-intercept : (-1.2,0)
y-intercept : (0,-0.7)
The diagram represents the polynomial 4x2 23x – 72. a 2-column table with 2 rows. the labels for both the columns and the rows is question mark. first column entries are 4 x squared, negative 9 x. second column entries are 32 x, negative 72. what is the factored form of 4x2 23x – 72? (4x 8)(x – 9) (4x – 8)(x 9) (4x 9)(x – 8) (4x – 9)(x 8)
The factor of the given polynomial 4x^2 + 23x – 72 would be equal to (4x - 9) (x + 8).
What are polynomials?Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.
The given polynomial expression
[tex]4x^2 + 23x - 72[/tex]
We factor in the highest common denominator of each group.
[tex]4x^2 + (-9+32)x - 72[/tex]
[tex]4x^2+9x-32x - 72[/tex]
[tex](4x-9)x+8(4x-9)[/tex]
Finally, the factored expression is
(4x - 9) (x + 8)
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The maker of a cell phone screen protector would like to estimate the proportion of customers who file a warranty claim. To do so, they select a random sample of 200 customers and determine that the 96% confidence interval for the true proportion of customers who file a warranty claim to be 0. 15 to 0. 28. Which of these statements is a correct interpretation of the confidence level?
Approximately 96% of customers file a warranty claim.
The cell phone screen protector maker can be 96% confident that the interval from 0. 15 to 0. 28 captures true proportion of customers who file a warranty claim.
If many random samples of size 200 are selected from the population of all customers, approximately 96% of the sample proportions of customers who file a warranty claim will be between 0. 15 and 0. 28.
If many random samples of size 200 are selected from the population of all customers, about 96% of the intervals constructed from the samples would capture the true proportion of customers who file a warranty claim
According to the interpretation of the confidence interval, the correct statement is:
The cell phone screen protector maker can be 96% confident that the interval from 0.15 to 0.28 captures true proportion of customers who file a warranty claim.
What is the interpretation of a x% confidence interval?It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.
In this problem, we have a 96% confidence interval between 0.15 and 0.28, hence we are 96% confident that the population proportion is between these values, and the correct option is:
The cell phone screen protector maker can be 96% confident that the interval from 0.15 to 0.28 captures true proportion of customers who file a warranty claim.
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Answer: If many random samples of size 200 are selected from the population of all customers, about 96% of the intervals constructed from the samples would capture the true proportion of customers who file a warranty claim
Step-by-step explanation: took the test
Can someone help me quick please ?
Answer:
I think it is the second option
Step-by-step explanation:
Guillermo desea planificar la cosecha y venta de plátano a partir de información precisa. Usando la información de que se dispone, determine la ecuación de la utilidad y calcule cuántos kilos tendría que vender Guillermo por semana bajo estas condiciones, para que la utilidad no sea menor al 15% del costo
Para planificar su cosecha y garantizar una buena ganancia, Guillerno necesita utilizar la ecuación de utilidad.
¿Qué es la utilidad?En un negocio, la utilidad se refiere a la ganancia neta de una empresa o la diferencia entre el total de dinero que se gana y los gastos o inversión.
¿Cómo se calcula la utilidad?La utilidad se calcula a partir de la siguiente ecuación:
Margen de utilidad= ingresos totales - inversión o costosEsta ecuación requiere saber los posibles costos y los ingresos totales para calcular la utilidad de un producto y así mismo planear la cantidad del producto a vender.
Nota: Esta pregunta está incompleta porque no hay información sobre los costos, posbiles ganancias, etc. de Guillermo. Debido a lo anterior, la respuesta se basa en conocimiento general.
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Teaching year is recorded as an integer, with first-year teachers recorded as 1, second-year teachers recorded as 2, and so on. Both sets of data have a mean teaching year of 8. 2, with data recorded from 200 teachers at High School A and 221 teachers at High School B. On the histograms, each interval represents possible integer values from the left endpoint up to but not including the right endpoint. (a) The median teaching year for one high school is 6, and the median teaching year for the other high school is 7. Identify which high school has each median and justify your answer. (b) An additional 18 teachers were not included with the data recorded from the 200 teachers at High School A. The mean teaching year of the 18 teachers is 2. 5. What is the mean teaching year for all 218 teachers at High School A
The mean teaching year for all 218 teachers at High School A is 7.73 if the teaching year is recorded as an integer, with first-year teachers recorded as 1, second-year teachers recorded as 2, and so on.
What is a histogram?It is defined as the numerical data representation in the graph with the help of a bar without space. The histogram gives an idea about the data's approximate distribution.
We have two histograms representing the teaching year with frequency.
From the first histogram the two reactangles represents = 45+48 = 93
From the second hisogram = 79+34 = 113
Median divided into two equal parts.
From the data:
The first graph has 200 points
The second graph has 221 points
The first graph median should be near the 100th data point
The second graph median should be the 111th data point
We obtain 93 from rectangles on a, which is less than 100, and these two rectangles include 1-4 and 4-7 (not including?) As a result, we might argue that this data covers 1-6.
We clearly need more values after we reach the medians, thus we must include the following interval. As a result, in a medium, 7 should be used.
The same reasoning applies to b), where the first two rectangles yield 113 and the median is the 111th datum point. We don't need to add these two rectangles because it includes them. So, for this median, the next interval (7-10) must be 6.
For part (b):
Mean of 18 = 2.5
= 2.5×18 ⇒ 45
Mean of 200 = 8.2
= 200×8.2 ⇒ 1640
New mean = Total/number of observation
= (45+1640)/(200+18)
= 1685/218
= 7.729
= 7.73
Thus, the mean teaching year for all 218 teachers at High School A is 7.73 if the teaching year is recorded as an integer, with first-year teachers recorded as 1, second-year teachers recorded as 2, and so on.
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What is the range of the function y = startroot x 5 endroot?
The domain of the function is [-5,0) and the range of the function y = startroot x 5 endroot is [0,∞)
What is range of function?Range of a function is the set of all the possible output values which are valid for that function.
The function given in the problem is,
[tex]y=\sqrt{x+5}[/tex]
This function is defined when the value of √(x+5) is greater than or equal to 0.
[tex]\sqrt{x+5}\ge0[/tex]
Solve it further,
[tex]\sqrt{x+5}\ge0\\(x+5)\ge0\\x\ge-5[/tex]
Thus, the domain of the equation is [-5,0). Now for the range,
[tex]x+5\ge0\\\sqrt{x+5}\ge0\\y\ge0[/tex]
Thus the range is [0,∞).
Hence, the domain of the function is [-5,0) and the range of the function y = startroot x 5 endroot is [0,∞)
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The functions f and g are shown below. Which of the following statements is true? A. Over the interval [0, 2], the average rate of change of f is greater than that of g. The y-intercept of f is the same as the y-intercept of g. B. Over the interval [0, 2], the average rate of change of f is the same as that of g. The y-intercept of f is less than the y-intercept of g. C. Over the interval [0, 2], the average rate of change of f is the same as that of g. The y-intercept of f is greater than the y-intercept of g. D. Over the interval [0, 2], the average rate of change of f is less than that of g. The y-intercept of f is the same as the y-intercept of g.
Answer:
this is the gradient use the line to estimate and plot
Step-by-step explanation:
The surface area of a cube is 294 cm². What are
the dimensions of the cube?
Answer:
Read Expl.
Step-by-step explanation:
To go from a length to the surface area, you can do 6[tex]l^{2}[/tex]
So you can backtrack, you can do 294/6 which is 49
[tex]\sqrt{49}[/tex] is what you can do next and that will get you 7.
the length of a rectangle is 5 cm more than twice a number. the width is 4cm less than the same number. if the area of the rectangle is 15cm2, find the number
anything to help with please
What is the length of the dotted line? round to the nearest hundredth. 2.50 in. 3.75 in. 5.00 in. 6.25 in.
The measure of the length of the dotted line is 3.75 inches. Then the correct option is B.
What is a hexagon?The hexagon is a 2D geometry that has a 6 number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
The perimeter of the hexagon is 7.5 inches.
Then the length of the hexagon will be
[tex]\rm 7.5 = 6x\\\\x \ \ = 1.25[/tex]
The length of the hexagon is 1.25 inches.
Then the diagonal length of the hexagon will be
y = 2 × 1.25
y = 2.5
The diagonal length of the hexagon is 2.5 inches.
Then the length of the dotted line is 3.75 inches.
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Pls help!!
I don’t understand I’m not smart-
Answer:
47.5 ft²
Step-by-step explanation:
The formula to find the area of a semicircle: [tex]\frac{1}{2} * \pi * r^{2}[/tex], where [tex]r[/tex] is the radius (diameter ÷ 2) and the [tex]\pi[/tex] is alterable.
1) Substitute the given values into the formula. Since the diameter has been given to us, we need to divide it by two for the radius (11 ÷2 = 5.5).
= [tex]\frac{1}{2} * 3.14 * 5.5^{2}[/tex]
2) Solve it.
= [tex]\frac{1}{2} * 94.985[/tex]
= 47.4925
2) Round it off to the nearest tenth.
= 47.5
Answer:47.5 ft²Step-by-step explanation:The formula to find the area of a semicircle: , where is the radius (diameter ÷ 2) and the is alterable.1) Substitute the given values into the formula. Since the diameter has been given to us, we need to divide it by two for the radius (11 ÷2 = 5.5).= 2) Solve it.= = 47.49252) Round it off to the nearest tenth.= 47.5
13. Marcus builds a brick wall that is 23 bricks across and 130 bricks high. Which is the best estimate of about how many bricks Marcus will use to build the wall? * 1 point 2,000 4,500 1,000 3,750
The required number of bricks is 2990. None of the options are correct.
Given that,
Marcus builds a brick wall that is 23 bricks across and 130 bricks high. Which is the best estimate of how many bricks Marcus will use to build the wall is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Number of bricks in a row = 23
Number of bricks in column = 130
Total number of bricks = 23 * 130
= 2990,
Thus, the required number of bricks is 2990. None of the options are correct.
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1.) Mrs. Tom is having triplets. What is the probability that all three children will be boys?
Answer:
1/3
Step-by-step explanation:
due to her having triplits it will be a 1/3 chance that they will all be boys because you need to take in account the three children
Answer:
Step-by-step explanation:
There are 8 different ways that the order of the children is 1/8 for each one.
So for boy * boy * boy = 1/2 * 1/2 * 1/2 = 1/8
All of the other possibilities also produce 1/8 because each child has a possibility of 1/2 to be a boy or a girl.
The quantity a varies jointly with b and c. When b= 7 and c = 3, a = -42. What is the value of k, the constant of variation?
The value of k, the constant of variation from the given joint variation as evident from the task content is -2.
How to find constant of variation?
a = k × b × c
where,
a = -42b = 7c = 3k = constant of variation-42 = k × 7 × 3
-42 = 21k
divide both sides by 21
k = -42 / 21
k = -2
Therefore, the constant of variation, k is -2
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Montel uses 8 ounces of sugar to make 36 fluid ounces of lemonade.If he makes 108 fluid ounces of lemonade to bring to a party,how many ounces of sugar will he use? *help me pls T^T*
Find the volume of figure. Round your answers to the nearest tenth, if necessary.
Answer:
452.39
Step-by-step explanation:
The volume of the cylinder is 452.39
hope this helps <3
Answer:
452.39
Step-by-step explanation:
For moves less than 50 miles, a moving company charges $180 per hour and a $50 gas fee.
Which function rule represents the amount in dollars, C, the company charges for h hours?
A:OC=50h - 180
B:OC=50h+ 180
C:OC=180h+ 50
D:OC= 180h - 50
Answer:
C
Step-by-step explanation:
the 50 miles don't really matter in this situation. 180$ per hour will be 180h (as we don't know the number of hours used) and the 50$ gas fee, which is what C is representing.
Answer:
C: C = 180h + 50
Step-by-step explanation:
180 per hour, with h representing how many hours, and then you need a $50 gas fee. So, the answer would be C = 180h + 50
6 Résolvez les équations suivantes.
a. x + 4 = 12
d. -14 = 2x
b. x + 5,1 = x + x
e. 5 = 4x
C. 6x = x - 15
f. x + 8 = 2x + 3
=
-
Step-by-step explanation:
a) x + 4 = 12
=> x + 4 - 4 = 12 - 4
=> x = 8
d) - 14 = 2x
=> -14/2 = 2x/2
=> -7 = x
x = -7
b) x + 5,1 = x + x
1 = x + x
1 = 2x
1/2 = 2x/2
x = 1/2 or 0.5
e) 5 = 4x
=> 5/4 = 4x/4
=> x = 5/4 or 0.8
c) 6x = x - 15
=> x - 15 = 6x
=> -15 = 6x - x
=> -15 = 5x
=> -15/5 = 5x/5
=> x = -3
f) x + 8 = 2x + 3
x+8=2x+3
x+8−2x=2x+3−2x
−x+8=3
−x+8−8=3−8
−x=−5
−x/−1 = −5/−1
x=5
J'espère que cela vous aidera, si vous avez d'autres problèmes, dites-le moi