PROBABILITY!!! Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 35% of the times when they are needed. A hospital has two backup generators so that power is available if one of them fails during a power outage. Complete parts (a) and (b) below.
Answers
A) In the event of a power loss, the possibility of both generators failing is 0.1225.
B) (i) In the case of a power outage, having a functioning generator may be anticipated 87.75% of the time.
(ii) During a power outage, it may be anticipated that both generators will malfunction roughly 12.25% of the time.
Probability: The probability of an occurrence is defined as the ratio between the number of positive outcomes to a certain event and the entire number of potential outcomes.
Complementary Events: When event A is specified, the complement of that event A does not take place.
Union of two events: The term "union of two events" refers to the collection of outcomes that are either related to both occurrences or one of the two events.
The intersection of two events: The intersection of two events refers to the group of results that are related to both occurrences.
Independent Events: If the occurrence of one event does not influence the occurrence of another event, then two occurrences A and B are said to be independent events. To put it another way, if the occurrence of event A has no bearing on the occurrence of event B, then the two occurrences A and B are independent.
A) The likelihood that both generators would malfunction during a power outage is calculated as follows:
According to the data provided, emergency backup generators malfunction 35% of the time when they are required. The probability value is 0.35 in this case.
The required probability is,
P⎝|⎛Bothgeneratorsfailduringapoweroutage⎠|⎞
= ⎣⎡P(Firstgeneratorfail) × P(Secondgeneratorfail)⎦ |⎤
= 0.35 × 0.35 = 0.1225
When there is a power outage, the likelihood that both generators will fail is calculated by multiplying the likelihood that the first and second generators will fail. During a power outage, the failure of both generators may be anticipated roughly 12.25% of the time.
B) (i) The likelihood of having a functional generator during a power outage is calculated as indicated below:
The required probability is,
P⎝|⎛Workinggeneratorintheeventofapoweroutage⎠|⎞
= 1−P⎝|⎛Bothgeneratorsfailduringapoweroutage⎠|⎞ =
1−0.1225 = 0.8775
The likelihood that a generator will operate in the case of a power loss is calculated by deducting the likelihood that both generators would malfunction from the overall likelihood. In the case of a power outage, having a functioning generator may be anticipated 87.75% of the time.
(ii) The likelihood that a patient will require hospitalization or not is determined as follows:
When there is a power outage, there is a 12.25% chance that both generators will malfunction; this means that they will malfunction roughly 10% of the time.
It is obvious that it is possible to anticipate that during a power outage, both generators will fail roughly 12.25% of the time, suggesting that this probability is low enough to not have an effect on patients' health.
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Related Questions
Basic Algebraic Inequalities (L3) Sep 07, 2:42:46 PM Watch help video Select the values that make the inequality inequality, in terms of g. (Numbers written in order from least to greatest going across.) □ 48 ☐ 63 □ 67 □ 56 64 Submit Answer 0 72 Equivalent Inequality: g g > 8 true. Then write an equivalent ☐ 61 ☐ 65 0 80 attempt 1 out
Answers
Answer:
g > 64
Step-by-step explanation:
You want an inequality equivalent to g/8 > 8.
SolutionThe properties of order say you do not change the value(s) of the variable by multiplying both sides of an inequality by a positive number.
Multiplying the given inequality by 8 gives the equivalent inequality ...
[tex]\dfrac{g}{8}\cdot8 > 8\cdot8\\\\\boxed{g > 64}[/tex]
mx=n+p ,for x
step by step aswell please
Answers
The solution for x from the linear equation is x=(n+p)/m .
Linear equation is a equation where the greatest degree of the variable is 1 in the equation.
A basic linear equation in the variable x is of the form ax+b =0 where b is a constant and a is the co-efficient of x.
To solve a linear equation for x we use the simple mathematical operations to make x the subject of the formula.
Given equation is:
mx=n+p
We have to find the value of x.
So we can see that the variable x has a constant co-efficient m
to make x the subject we divide both sides of the equation by m.
Therefore:
mx÷m=(n+p)÷m
or, x=(n+p)/m
So on solving the linear equation we get the value of x as (n+p)/m
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m² − m²n²
2m-2n
if m = 2 and n = -9
Answers
Answer: for the first equation is 81 and the second equation is 22
Step-by-step explanation:
m² − m²n² = (2)² - (2)² (-9)²
= 4 -(4×18)
= 4-72
= -68
2m-2n = 2(2)-2(-9)
= 4+18
=32
What are two different ways to describe the relationship between the values of each digit 8 in 3.884
Answers
Answer: 8 is 10x bigger than 8 8 is 10x less than 8
Step-by-step explanation:
A company has earnings before interest and taxes of $1,500,000, its tax rate is 40 %, interest is 30% of its total debt of $600,000, and lease payments are
$50,000. What is the company's times interest earned ratio?
3.8 times
8.3 times
O 5 times
4 times
Answers
The company's times interest earned ratio is 8.3 times
How to calculate the company's times interest earned ratio ?Company interest time ratio can be described as the measurement of how well an organisation is pay off their debts based on the amount of income generated by the company.
Company times interest ratio= earnings before interest/total debt × tax rate
= 1,500,000/600,000 × 0.30
= 1,500,000/180,000
= 8.3
Hence the company's times interest earned ratio is 8.3
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The sum of 6 times a number is x and 10 is36 write and solve an equation to find the number x
Answers
Answer:
13
Step-by-step explanation:
Write 6,684 feet write in as an integer
Answers
6,684 feet write in as an integer is 6,684.
The square root of 6684 is 81.7557337439
The cube root of 6684 is 18.8370177527
The integers form the littlest group and the smallest ring containing the natural numbers. In irrational number theory, the integers are sometimes qualified as rational integers to differentiate them from the more general algebraic integers. In fact, (rational) integers are algebraic integers that also are rational numbers.An integer is that the number zero, a positive number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers.integer, whole-valued positive or negative number or 0. The integers are generated from the set of counting numbers 1, 2, 3,… and therefore the operation of subtraction. When a counting number is subtracted from itself, the result's zero; for example, 4 − 4 = 0.
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Hallar las
coordenadas
del punto B (x,x
- 2) y A (2,-4),
el valor de la
pendiente es
4/3.
Answers
Coordinates of point B is (-2,-6) which gives the slope of 4/3.
What is slope ?The slope formula is m=(y2-y1)/(x2-x1)
4/3 = (xy-2y-xy)/ (-4-2)
4/3 = -2y/ -6
2y = 12
y = 6
by comparing numerators x = -2
The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line. The origin for this usage is unknown, however it may be found in O'Brien's (1844) and Todhunter's (1888) formulations of the equation for a straight line.
The ratio of the "vertical change" to the "horizontal change" between (any) two unique points on a line is used to compute slope. The ratio may occasionally be written as a quotient ("rise over run").
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Hello can someone help me with this, please helping with 1 would help me so much
Answers
The characteristics of the undefined geometric terms are as follows;
Across
2. Planes can also be labeled with a capital letter that isn't connected to a point.
6 Points that are not on the same line are non–colinear
7 Points, lines, and planes are undefined terms
8 A portion of a line containing two endpoints that can be measured is a segment.
9 Direction matters when labelling this geometric figure. A ray
12 These are always measured using one capital letter. A point.
13. These pair of lines have the same slope value. Parallel lines
14 A plane is usually labeled with this number of points. Three points
15 Lines and points sharing the same plane are coplanar lines and points.
Down
1 The symbols of a segment has arrows on each end. False
2 These intersect at either endpoints and resemble a line. Rays
3 Points that are on the same line are considered this. Colinear points
4 This line pair form a 90° angle when they intersect. Perpendicular lines
5 When two lines intersect they form a point. False
10 These can be labeled with one lower case letter. A plane
11. When two of these intersect they form a line. Rays
What are undefined terms in geometry?Undefined terms are terms in geometry which are only given an elucidation or a description. Other terms can be defined using the undefined terms.
Across
2 The methods of naming a plane includes;
One capital letter, written in script format.The letters of three points on the plane.6 When points are not on the same line or on the same plane, they are known as non–colinear or non–coplanar respectively.
7 undefined terms includes, points lines and planes
8 A segment has two endpoints and represents a portion of a line.
9 A ray is labeled by including the letter representing the endpoints first and then a letter representing any other point on the ray.
12 A point is labeled by using a capital letter
13 Parallel lines extends continuously without meeting, therefore they form the same corresponding angles with a common transversal and have the same slope
14 The labels of three points in space can be used to label the plane which the points are located.
15 The term used to describe lines and points sharing the same plane are coplanar lines and coplanar points respectively
Down
1 The symbol of a segment has a dot marking at each end.
2 When the endpoints of two parallel rays intersect, the geometric figure formed resembles a line
3 Colinear points are points that are on a line
4 Perpendicular lines are lines oriented 90 degrees relative to each other
5 An angle is formed by the intersection of two lines
10 A line can be labeled with one lower case letter
11 When the endpoints of two parallel rays facing opposite directions intersect, they form a line
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3/4 x 6/17 in its simplest form
Answers
in the simplest form
Answer: 9/34
Step-by-step explanation:
3/4 x 6/17=
3*6/(4*17)=
18/68=9/34
Death Valley sits at an elevation of 212 3/4 feet below sea level. Mt humpherys has an elevation of 13,918 feet. What is the chnage in elevation between the two locations. Show your work?
Answers
Death Valley = - 212 3/4 feet (neg. because it’s below sea level)
Mt. Humphreys = 13,918 feet
The change in elevation is found by solving for the difference between the heights
13,918 - (-212 3/4)
13,918 + 212 3/4 = 14,130 3/4
Solve by factoring:
x3+3x2+9x+27=0
Answers
Answer:
x = −3,3i, −3i
Step-by-step explanation:
Write the fraction below as a
percent. Round your percent to the
nearest tenth if necessary.
6
50
Answers
Answer - 12%
6/50 = 12/100
Identify the function family to which f(x)=x+3 belongs.
A. Constant B. Linear C. Absolute value D. Quadratic
Answers
The function f(x)=x+3 belongs to linear category.
For a function to be linear it must have an single variable and also the maximum power to that variable in the equation must be 1.
In a linear variable there is always single value possible in a equation.
In the function also there is only one value at one time but it varies according to the function change.
Here the function f(x)=x+3 will vary as the value of x changes.
For x=1 the value of f(1)=4
For x=2 the value of f(2)=5 and so on
The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. 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 whole set of values that the function's output can produce is referred to as the range. The set of values that might be a function's outputs is known as the co-domain.
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HELPPPP
y=x+12 solve for x
Answers
Answer:
I don't think you can answer this.
Step-by-step explanation:
Y could be anything. Which means x could be anything too. if y was 14, x would be 2. If y was 500, x would be 488.
Find the measure of the angle AEC that is supplementary to the angle AED in the diagram below. Enter only the number.
Answers
The measure of angle AEC is 115°.
What are Supplementary angle?
Supplementary angle are those angles whose sum up are 180 degree.
Given that;
Measure of angle AED = 65
The angle AEC is supplementary to the angle AED.
Now, The angle AEC is supplementary to the angle AED.
Hence, ∠ AEC + ∠AED = 180°
Since, Measure of angle AED = 65°
So, ∠ AEC + ∠AED = 180°
⇒ ∠ AEC + 65° = 180°
⇒ ∠ AEC = 180° - 65°
⇒ ∠ AEC = 115°
Therefore, The measure of angle AEC is 115°.
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What is pie? PLS IIIIIII NNNNNEEEEEEEEEEEEEEEEEEEEEEEEDDDDDDDDDDDDD IIIIIIIIIIIIITTTTTTTTTTTTTTTT!
Answers
Answer:
Succinctly, pi—which is written as the Greek letter for p, or π—is the ratio of the circumference of any circle to the diameter of that circle. Regardless of the circle's size, this ratio will always equal pi. In decimal form, the value of pi is approximately 3.14.
Pi is used in my formulas like area and perimeter of circle, radian measure, etc
Write the following expression using the fewest possible terms. (−4x − 15) + (17 + 7x)
Answers
Answer:
3x +2
Step-by-step explanation:
Write the following expression using the fewest possible terms.
(−4x − 15) + (17 + 7x) =
-4x -15 + 17 + 7x=
3x +2
a bottle of wine costs $20. if the wine is $5 more than the bottle, how much is the bottle?
Answers
Answer: the bottles cost is 15$
Step-by-step explanation:
Answer:
Step-by-step explanation:
if the wine bottle is $20 and the bottle is $5 less, then 20-5=15.
The bottle costs $15
The ratio of working-age population to the elderly in the United States (including projections after 2000) is given by the function below, with t = 0 corresponding to the beginning of 1995.†
$$ f(t) = \left\{
\begin{array}{rcl}
4.1 & \mbox{if} & 0 \le t < 5\\
-0.03t+4.25 & \mbox{if} & 5 \le t < 15\\
-0.075t+4.925 & \mbox{if} & 15 \le t \le 35\\
\end{array}
\right. $$
(a) Sketch the graph of the function f. When sketching the function, make sure you pay attention to whether each section of the graph starts and ends with open or closed circle.
Answers
The graph of the function f. When sketching the function, make sure you pay attention to whether each section of the graph starts and ends with open or closed circle.
[tex]F(t)= \begin{cases}4.1 & 0 \leqslant t < 5 \\ -0.03 t+4.25 & 5 \leqslant t < 15 \\ -0.075 t+4.925 & 15 \leqslant t \leqslant 35\end{cases}[/tex]
Ratio[tex]$=f(9)=-0.03(9)+4.25=3.98$[/tex]
Year 2020 corresponds to t=25
Ratio [tex]$=f(25)=-0.075(25)+4.925=3.05$[/tex]
c. Ratio is constant when t lies in [0,5] ic., in the years [1995,2000]
A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output.
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. Evan ran 93 miles in one hour and twenty-
four minutes. Find the average number of
minutes it took him to complete one mile.
Answers
Answer:
0.903 minutes / mile
Step-by-step explanation:
For this question we can use the rationing method to solve.
Given information from the question:
93 miles = 1 hour 24 minutes
93 miles = 84 minutes
1 mile = 84 minutes ÷ 93 miles = 0.903 minutes / mile (rounded to 3 s.f)
On a side note: That is considered extremely fast.
Can somebody please help me
Answers
Answer:
Step-by-step explanation:
En una región productora de citricos se Produce una
Fuente helada que daña la cosecha Y, como resultado, sube
el precio de la naranja ¿el precio de equilibrio del zumo
de la naranja subirá,bajará o se mantiene constante?
¿Y como se comportara to cantidad de equilibrio?
elabora un diagrama con los curvas de oferta y
demanda que explique tu respuesta.
Answers
Step-by-step explanation:
En una región productora de citricos se Produce una
Fuente helada que daña la cosecha Y, como resultado, sube
el precio de la naranja ¿el precio de equilibrio del zumo
de la naranja subirá,bajará o se mantiene constante?
¿Y como se comportara to cantidad de equilibrio?
elabora un diagrama con los curvas de oferta y
demanda que explique tu respuesta.
Convert the given rectangular
coordinates into polar
coordinates.
(-7, 4)
Round your answer to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
hi the RTA: is -14,8+
Solve the inequality.
|4x - 1| ≥ 23
I need some help if anyone knows it!
Answers
The value of the inequality |4x - 1| ≥ 23 will be
x ≥ 6.
How to calculate the inequality?It should be noted that the inequality given is expressed as:
|4x - 1| ≥ 23
This will be
|4x - 1| ≥ 23
4x ≥ 23 + 1
4x ≥ 24
Divide
4x/4 ≥ 24/4
x ≥ 6
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389x89 i really Need help . Show work pls
Answers
Answer: the answer would be 34621
Step-by-step explanation:
Answer:
34,621
Step-by-step explanation:
Well as it may look hard it is simpler than you think
389*89 looks like a big number right? lets break it down into small pieces!
lets split up 389 into hundreds, tens, and ones.
So that will make it 300, 80, and 9!
Since we have to make 89 more of those numbers, lets try out a simple number in there!
Lets look at 9*89
9*9= 81
9*80=720
This means the answer is 801!
we will use this number later!
Now lets move on to 80*89!
80*9=720
80*80=6400
We will get 7120 if we add them!
we will also use that number later!
Now finally, 300*89!
300*80=24000
300*9=2700
We will get 26700!
Now finally, we add up all the three answers we got!
801 + 7120 + 26700 = 34621
This means the final answer is 34,621! I hope this helps!
If 2log3 Y + log3 x² = 4. find y
Answers
Answer:
Step-by-step explanation:
9/x
Don't know where to start.... please help!
Answers
2093+1768=3861
Answer = 3861cm cubed
7/9 + 4/5 simplest form
Answers
Answer:
71/45
Step-by-step explanation:
Fraction: 71/45
OR
Decimal: 1.57
OR
Mixed Fraction: 1 26/45
Select the correct answer. What is this expression in simplified form? ( 6√2 ) ( − 3√5 )
A.-90
B.-18√10
C.-18√7
D.3√7
Answers
Answer:
the answer is B because the 6 is multiplied by the -3 and the rot 5 is multiplied by root 2