Answer:
The sensitivity rate of the test is 88%. For its part, the specificity rate of the test is 91%.
Step-by-step explanation:
The sensitivity of a medical test is its ability to detect positive cases of the disease, while the specificity of the test is its ability to detect negative cases.
In total, there are 270 cases:
-80 positives
-10 false negatives
-15 false positives
-165 negatives
Thus, to calculate both concepts, the following calculations must be performed:
Sensitivity = positives / (positives + false negatives)
X = 80 / (80 + 10)
X = 80/90
X = 0.88
Thus, the sensitivity rate of the test is 88%.
Specificity = negatives / (negatives + false positives)
X = 165 / (165 + 15)
X = 165/180
X = 0.91
For its part, the specificity rate of the test is 91%.
Element X is a radioactive isotope such that every 12 years, its mass decreases by half.
Given that the initial mass of a sample of Element X is 900 grams, how much of the
element would remain after 6 years, to the nearest whole number?
Answer:636
Step-by-step explanation: I just kno
The number of people arriving for treatment at an emergency room can be modeled by a Poisson process with a rate parameter of four per hour. (a) What is the probability that exactly three arrivals occur during a particular hour? (Round your answer to three decimal places.) (b) What is the probability that at least three people arrive during a particular hour? (Round your answer to three decimal places.) (c) How many people do you expect to arrive during a 30-min period?people
Answer:
a) 0.195 = 19.5% probability that exactly three arrivals occur during a particular hour.
b) 0.762 = 76.2% probability that at least three people arrive during a particular hour
c) 2 people.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Poisson process with a rate parameter of four per hour.
This means that [tex]\mu = 4[/tex].
(a) What is the probability that exactly three arrivals occur during a particular hour?
This is P(X = 3). So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 3) = \frac{e^{-4}*4^{3}}{(3)!} = 0.195[/tex]
0.195 = 19.5% probability that exactly three arrivals occur during a particular hour.
(b) What is the probability that at least three people arrive during a particular hour?
Either less than three people arrive during a particular hour, or at least three does. The sum of the probabilities of these outcomes is 1. So
[tex]P(X < 3) + P(X \geq 3) = 1[/tex]
We want [tex]P(X \geq 3) = 1 - P(X < 3)[/tex], in which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]. So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-4}*4^{0}}{(0)!} = 0.018[/tex]
[tex]P(X = 1) = \frac{e^{-4}*4^{1}}{(1)!} = 0.073[/tex]
[tex]P(X = 2) = \frac{e^{-4}*4^{2}}{(2)!} = 0.147[/tex]
So
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.018 + 0.073 + 0.147 = 0.238[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.238 = 0.762[/tex]
0.762 = 76.2% probability that at least three people arrive during a particular hour.
c) How many people do you expect to arrive during a 30-min period?
One hour, 4 people
Half an hour = 30 min = 4/2 = 2 people.
Which two factors would give a product of 9.1? A. 0.7 and 1.3 B. 7 and 0.13 C. 0.7 and 13 D. 7 and 13 E. 0.7 and 0.13
Answer:
A
Step-by-step explanation:
0.7 * 1.3= 9.1
Answer:
I believe it is 0.7 and 13.
Step-by-step explanation:
Factors are numbers that are in a multiplication equation, so the choices would have to be multiplied together, showing that C : 0.7 and 13 is the correct answer.
Miles Traveled
225
175
Miles
125
75
25
X
0 1 2 3 4 5 6 7 8 9 10
Hours
Multiply the polynomials. (3x − 9)(5x + 1)
if I use the bathroom 17 times then I use the bathroom 5 more times how many times have I gone to the bathroom
Answer:
22
Step-by-step explanation:
17+5
Answer:
you have a whiz problem LOL
Step-by-step explanation:
1. Are the two triangles shown below congruent? Use tracing paper to justify your answer.
a rectangle has an area of 3 3/4 square feet. the length is 1 1/2 . what is the width
Answer:
The answer is 2 1/2
Step-by-step explanation:
First you turn 3 3/4 into an improper fraction .To do that you multiply the denominator x the whole number + the numerator = 4x3=12 +3=15/4.
Then you turn 1 1/2 into an improper fraction .To do that you multiply the denominator x the whole number + the numerator =2x1+1=3/2
15/4 divided by 3/2 but get your answer you have to reverse 3/2 into 2/3 and you multiply instead of dividing .
15/4 x 2/3 =15 x2 = 30 , 4x3=12 so your answer will be 30/12 but it can be simplified because they are both multiple of 6 . So , 30 divided by 6 = 5 and 12 divided by 6 = 2 so then you answer is 5/2 but it is an improper fraction so you divide 5 by 2 and you get 2 and a remainder of 1/2=2 1/2
you receive an allowance of a penny the first day of the month and the amount you receive doubles every day for the rest of the month assume the month has 30 days how much would your allowance be after one month?
Answer:
56
Step-by-step explanation:
(7.3)2 + 9.1 divided by (8.7 - 6.1)
im not very good with math that much sorry !!
Answer:
i think you put the 7.3X2+9.1 then divided it by 8.7 -6.1
Step-by-step explanation:
let me see if i can help you
Answer:
18.1
Step-by-step explanation:
(7.3)2+9.1 / (8.7-6.1)
PEMDAS
Paranthesis first so: 7.3 x 2 = 14.6 , 8.7 - 6.1 = 2.6
So the equation becomes 14.6 + 9.1 / 2.6
Division next since there are no exponents or multiplication: 9.1 / 2.6 = 3.5
Equation becomes 14.6 + 3.5
Addition next: 14.6 + 3.5 = 18.1
the difference of f and 1/3 is 1/12
Answer:
1/4
Step-by-step explanation:
1/3 - 1/12 = 4/12 - 1/12 (LCM)
= 3/12
=1/4 (simplified)
True or False.
43 = 62
A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 5 tables is $35. The total cost to rent 8 chairs and 3 tables is $38. What is the cost to rent each chair and each table?
Answer:
A chair costs $2.50 each and a table costs $6 each.
Step by Step Explanation:
First, let's break this down to two equations.
Equation 1: 2c + 5t = 35
Equation 2: 8c + 5t = 38
Let's first solve for "t" (tables) by modifying Equation 1 so that it has the same number of chairs as Equation 2.
To do that, we must times the equation by 4, so:
4(2c + 5t = 35) -> 8c + 20t = 140.
So now the two equations we have are:
1: 8c + 20t = 140
2: 8c + 3t = 38
Now that they have the same number of chairs (8c), we can subtract Equation 2 from Equation 1, and that gets us the following:
17t = 102
t = 102 / 7 = 6.
Therefore, a table costs $6.00 to rent.
Knowing this, we can use either equation to now find "c". Let's use Equation 1.
2c + 5(6) = 35
2c + 30 = 35
2c = 5
c = 5 / 2 = 2.5
So now we know each chair costs $2.50 to rent. Let's use Equation 2 to confirm both the costs of the table and the chair.
8(2.5) + 3(6) = 38
20 + 18 = 38
38 = 38.
Therefore, each chair costs $2.50 and each table costs $6.
Which triangle(s) are similar to ABC?
7(-9a-3)-2a please help
Answer:
-65a -21 "that is the simplified version"
Answer:
-65a - 21
Step-by-step explanation:
7 ( -9a - 3 ) -2a
Distribute, multiply every term in the parenthesis by the term right outside of the parenthesis,
7 ( -9a - 3 ) - 2a
-63a - 21 - 2a
Simplify
-65a - 21
3(x+15) - 6x = -6(x-3)
The functions f(x),8(x), and h(x) are defined below.
f(x)=32
g(x)= 10x+4
h(x)= x - *
Calculate the indicated function values. Simplify your answers,
13. f(7)
14. f(-9)
15. f(s)
16. f(s – t)
17. g(7)
18. g(-9)
19. g(s)
20. g(s - t)
Answer:
Step-by-step explanation:
f(7) = 32
f(-9) = 32
f(s) = 32
f(s-t) = 32
g(7) = 10·7+4 = 74
g(-9) = 10(-9)+4 = -86
Solve for k:
8 36
K 1.8
Step-by-step explanation:
I there a picture for the problem ?
You make $35000 a year, an you get a 10% raise. Your new salary is $[???]. The next year you get a 10% cut. Your new salary is $[???]. That is [???]% less than your initial salary.
Answer:
34650
Step-by-step explanation:
Answer: your new salary would be $34,650 which is -1% of what your initial salary was ($35000)
Step-by-step explanation:
35000x.10=3500
35000+3500=38500
38500x.10=3850
38500-3850=34650
34650-38500=-350
-350/38500=-1%
if James can swim 10 laps in 23 minutes, what would be his expected time for 15 laps?
Answer:
34.5 minutes
Step-by-step explanation:
At camping trip, you have the option of seating in a small table or a large table. A small table fits 5 campers who will share 2 pizzas. A large table fits 6 campers who will share 3 pizzas.
Assuming the pizza is shared evenly among the table , at which table do you get the most pizza? Explain how you know.
Answer:
i will be at small table bcz i will get more pizza there
order these number (smallest to largest)
35.6 0.356 35.63 3.65 356.06 356.6
Answer: 0.356, 3.65, 35.6, 35.63, 356.06, 356.6
Step-by-step explanation:
1.21 repeating as a fraction
Answer:
x = 40/ 33
40 ÷ 33 = 1.21 (21 repeating)
The fraction when the decimal number is provided i.e. 1.21 should be considered as the [tex]40\div 33[/tex]
Calculation of the fraction:since the decimal number is 1.21
So, here if we divide the 40 by 33 so it comes 1.21
Therefore, we can conclude that The fraction when the decimal number is provided i.e. 1.21 should be considered as the [tex]40\div 33[/tex]
Learn more about fraction here: https://brainly.com/question/12405736
CH 7 Forces: pages 294 & 296
Calculate net forces. Draw an arrow to show direction. SC.6.P.13.3
Drag an arrow
to complete
your answer.
combined Forces
Net Force
Click to type
30 N
70 N
30 N
40 N
Click to type
60 N
60 N
Click to type
18 N 12 N
30N
awnser 1.100
awnser 2.-10
awnser 3.0
awnser 4.0
The bottom part of this block is a rectangular prism. The top part
is a square pyramid. How much paper is needed to completely
cover the block? Explain.
Answer:
Check question number 9 in that file you may be able to understand the problem
Step-by-step explanation:
select all that applies
Answer:
A
C
D
F
G
Step-by-step explanation:
You can pretty easily find the answer by just going through each statement and analyzing what it means. For A it asks if AB is parallel to DC (parallel means the lines could go on for infinity without ever touching) Looking at the shape we can see that AB and DC are on opposite sides and are slanted in the same direction meaning that they are in fact parallel. This could be correct. The next asks about angle BCD and whether or not it is congruent to CDA (congruent is just another word for the same) Angle BCD is the top right angle and we know this by following the letters on the shape in the order they were asked in the question. We can see that these two angles are not congruent just via observation as BCD is an acute angle (less than 90 degrees with a right angle as a reference) and CDA is an obtuse angle (greater than 90 degrees) This answer choice is incorrect. Next up we have BPC and APD and it asks whether or not they are congruent. We can apply the same logic to the previous choice and find out that they are in fact congruent angles which is also backed up by the rule of vertical angles which states that all vertical angles are congruent. This means C is also a correct option. Next up is line BC compared with AD which are very obviously congruent just by looking at the image, but we also know that opposite sides of a parallelogram are always congruent. This answer choice is correct also. Next up it asks us about AC in comparison to BD which are NOT congruent because each line has a different length due to the fact of the angles they are coming from. AP is in fact congruent to PC because it is just a continual of the original line which stems from halfway across the middle of the parallelogram. This IS a correct choice. Next up it asks about supplementary angles and it is important to understand what that is before you can accurately answer the question. Supplementary angles are angles which will total 180 degrees and the question specifically asks in relation to angles BAD and ADC. These angles are in fact supplementary because they are across from each other at the base of the parallelogram and we know from theories that these angles will always be supplementary in these shapes. G is also a correct answer. Last but not least we have a question asking us about APB and APD and whether or not they are vertical angles. Vertical angles are angles which are across from each other either vertically as the name sake says or horizontally, but they have to be directly across from each other. Looking at the image we can clearly see that these angles are NOT across from each other but instead are adjacent to each other (next to each other) meaning the last option is not correct. This leaves A,C,D,F, and G as the correct answers.
Wendy is purchasing a condominium and is financing $595,000 with a 20-year 6/1 ARM at 5.65% with a 1/8 cap structure. What will her
payments be at the beginning of year 7? (3 points)
A.$4400.65
B.$4143.50
C.$3623.48
D.$3344.70
Answer:
B. $4143.50
Step-by-step explanation:
Wendy has purchased condominium and is financing it through the loan. The loan term is for 8 years with an interest rate of 5.65%. The payment at the start of the year 1 is $595,000 * 5.65% = $3344.70. The loan term reached maturity so the payment will increase to 4143.50
Gary’s cat weighs 11 pounds. How many ounces is Gary’s cat?
Answer:
176 ounces :)
Step-by-step explanation:
Find the total cost of these items, including tax. Round to the nearest hundredth.
Water bottle:
Flashlight:
Answer: watter bottle : $1.61
Flashlight : $3.20
Step-by-step explanation:
Can I get some help on this
Answer:
the first one, 2.5x
Step-by-step explanation:
Hope this helps!