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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WHAT I KNOW
CAN YOU DO THIS? LET'S HAVE A GUESSING GAME ON POLYGONS.
__________1. I AM A POLYGON WITH FOUR EQUAL SIDES AND 4 RIGHT CORNERS. WHAT AM I?
__________2.I HAVE THREE SIDES AND THREE ANGLES. WHAT AM I?
__________3. I HAVE TWO PAIRS OF PARALLEL SIDES AND FOUR RIGHT ANGLES. WHAT SHAPE AM I?
__________4. I AM A POLYGON WITH 4 SIDES AND ONE PAIR OF WHICH IS PARALLEL. WHAT AM I?
__________5. I HAVE TWO OF OPPOSITE SIDES WHICH ARE PARALLEL. WHAT AM I?
PLS ANSWER
Answer:
1. Square
A square has 4 side of equal lengths, and all right angles.
2. Triangle
A triangle has 3 sides and 3 angles. It could either be an isosceles, equilateral or obtuse triangle.
3. Rectangle
A rectangle has 4 sides. 2 are parallel and the other 2 are parallel. All angles are 90 degrees.
4. Trapezoid
This shape has 4 sides. Only 1 pair of sides is parallel. The other 2 sides are not parallel
5. Parallelogram
It has 4 sides, and both pair of opposite sides are parallel.
Which of the following is the equation of a line with a slope of -5/9
Answer:
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Step-by-step explanation:
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a Carnival charges $5 to enter, and $2 per ride. If you paid a total of $23, how many rides did you go at the carnival
Answer : 8$
you have 1$ left
Which scenario represents theexpression 4x 47 Select Yes or No foreach scenario.a. Jack earns $4 per hour but owes hisparents $4; x represents the numberof hours he works.YesNob. Alex is 4 years older than 4 timesAva's age; x represents Ava's age.YesNoc. A store has a 4% discount on gloves;Mike bought x pairs of gloves at $4a pair.YesNod. Jane bought x number of tickets at$4 each and had a coupon for $4 offthe total cost.YesNo
Answer:
Explanation:
Given:
a) For this scenario, we'll have the below expression;
\(4x-4\)So we'll select Yes for this scenario
b) For this scenario, we'll have the below expression;
\(Alex^{\prime}s\text{ age = }4x+4\)So we'll select No for this scenario
c) For this scenario, we'll have the below expression;
\(Cost\text{ of x pairs of gloves = }4x-(0.04*4)4=4x-0.64\)So we'll select No for this scenario
d) For this scenario, we'll have the below expression;
\(Total\text{ cost}=4x-4\)So we'll select Yes for this scenario
need heeeelp please
Answer:
(x, y) = (-√3/2, 1/2)
Step-by-step explanation:
The terminal point for that angle can be read from a unit circle chart.
On the attached chart, the point of interest is the first one above the -x axis on the left side. The chart tells you the coordinates are ...
(x, y) = (-√3/2, 1/2)
A veterinarian visits an aninal shelter with 147 dogs. 42 are randomly selected for a study. Of tjose selected 14 have a disease. What is the best estimate for the number of dogs that suffer from tge disease? 49, 41,52 or 38?
Answer:
The answer is 49
Step-by-step explanation:
We can use proportions to estimate the number of dogs in the entire population that have the disease, based on the sample of dogs with the disease.
We know that 42 dogs were selected for the study, and 14 of them had the disease. This means that the proportion of dogs in the sample with the disease is:
14/42 = 0.3333
We can use this proportion to estimate the number of dogs in the entire population that have the disease, by multiplying it by the total number of dogs:
0.3333 * 147 = 49
Therefore, the best estimate for the number of dogs that suffer from the disease is 49.
please help!! I'm probably gonna be spamming sooo
Answer:
12π
is the correct answer
Please help me! I will mark brainliest! Thanks!
Answer: Group 12
Step-by-step explanation: The element is Mercury.
Which triangle is △ABC similar to and why?
Answer:
can we get a picture
Step-by-step explanation:
Subtract 5p + 8q from the sum of 5p + 4q and – 9p + 69.
Answer:
-9p -4q + 69
Step-by-step explanation:
5p +4q + (-9p +69)
=> 5p + 4q -9p +69
=> -4p +4q +69
Now, we need to subtract 5p +8q from -4p + 4q +69
=> -4p +4q +69 - (5p +8q)
=> -4p + 4q +69 - 5p -8q
=> -9p -4q + 69
What is the solution set for the following inequality? 4x – 3 + 6x > 5x + 7
Answer:
you got that
Step-by-step explanation:
wet wet wet
Answer:
{ x : x > 2 }
Step-by-step explanation:
4x - 3 + 6x > 5x + 7 , that is
10x - 3 > 5x + 7 ( subtract 5x from both sides )
5x - 3 > 7 ( add 3 to both sides )
5x > 10 ( divide both sides by 5 )
x > 2
Translate each into an algebraic expression
5 times k
A) 5k
B) k+5
C) k divided by 5
D) 5-k
Answer:
A) 5k
Step-by-step explanation:
anything near a number like that is usually times. Like 7g would be 7xg!
Can someone please help?
(A) To use the exponential formula, we need to determine the values of P, r, and n.
P = $8,500, the initial deposit
r = 2.6% = 0.026, the annual interest rate
n = 4, the number of times interest is compounded per year (quarterly)
How much money will Deshawn will have in the account in 9 years?(B) The formula for the future value of the account is:
A = \(P(1 + r/n)^{nt}\)
where t is the time in years. Plugging in the values from part (A) and t = 9, we get:
A = \($8,500(1 + 0.026/4)^{(4×9)}\) = $11,169.62
Therefore, Deshawn will have $11,169.62 in the account after 9 years.
(C) The annual percentage yield (APY) takes into account the effect of compounding on the interest rate. The formula for APY is:
APY = \((1 + r/n)^{n}\) - 1
Plugging in the values from part (A), we get:
APY = \((1 + 0.026/4)^{4}\) - 1 = 0.02639
Therefore, the APY for the savings account is 2.639%.
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21(x + 1) - 6x = 15x + 21
Answer:
15x = 15x
or
0 = 0
Step-by-step explanation:
21(x + 1) - 6x = 15x + 21
21x + 21 -6x = 15x + 21
21x - 6x = 15x
15x = 15x
or
0 = 0
this equation is always true
Whoever answers first gets brainliest
Step-by-step explanation:
nasaan po ang tanong, where is the question
Find the x intercept of 3x-6y=24
Factor the following expression. x^2+9x+8
Answer:
(x+1)(x+8)
Step-by-step explanation:
I just got multiples of 8 that when added equal to 9. In this case, it was 1 and 8 which when you multiply is 8 and when you add, it's 9.
16. What product is represented with the following Algebra Tiles?
(2x²+6) (4x+6)
(4x + 4) (6x + 6)
(2x + 2)(2x + 3)
4x+10
The product that is represented with the algebra tiles is (2x + 2)(2x + 3)
Finding the product that is represented with the algebra tiles?From the question, we have the following parameters that can be used in our computation:
The algebra tiles
Representing the red tile with digit 1
So, we have
Vertical = 2x + 1 + 1 = 2x + 2
Horizontal = 2x + 1 + 1 + 1 = 2x + 3
The product that is represented with the algebra tiles is then calculated as
Product = Vertical * Horizontal
So, we have
Product = (2x + 2)(2x + 3)
Hence, the product is (2x + 2)(2x + 3)
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What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation?
-5x^2 - 50x = -250
The required intermediate step is (x-5)² = 25 for the equation -5x² - 50x = -250.
Completing the square is a method used to rewrite the equation in the form (x+a)²=b. The intermediate step involves adding and subtracting the square of half of the coefficient of x in the equation.
To complete the square for the equation -5x² - 50x = -250:
First, we'll add and subtract (1/2 * 50)² = 625/4 on both sides of the equation:
-5x² - 50x + 625/4 = -250 + 625/4
Next, we'll factor out the x term on the left side of the equation:
-5x² - 50x + 625/4 = -250 + 625/4
-5(x² - 10x) + 625/4 = -250 + 625/4
-5(x² - 10x + 25) + 625/4 = -250 + 625/4
-5(x - 5)² + 625/4 = -250 + 625/4
The intermediate step is in the form of (x-5)² = (625/20 + 250)/5
So, the intermediate step is (x-5)² = 25
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graph the solution to the following equation: x+y= -8
Help me with this math question please
Answer:
60 small and 140 large = 60 + 280 = 340 this is correct!
Step-by-step explanation:
I guess we just use the process of eleimation.
50 small and 150 Large = 50+300 = 350 so that's not right.
130 small and 70 large = 130 + 140 = 270 so, that's not right.
120 small and 80 large = 120 + 160 = 280 so, that's not right.
60 small and 140 large = 60 + 280 = 340 this is correct!
Say we have objects, and these objects can be put on a page. Each page can only hold up to 30 objects.
We have 54 objects, and 2 pages.
What equation would allow us to calculate the amount of objects each page could hold?
Answer:
\(n=\frac{54}{2}\), where "n" is number of objects per page.
Step-by-step explanation:
The amount of objects each page could hold is given by dividing the amount of objects that you have, by the number of pages.
• Let the number of objects per page be "n".
Then, the equation that gives us the number of objects for each page, in such way that we have an equal amount of objects per page is:
\(n=\frac{54}{2}\).
15 POINTS IF U ANSWER CORRECT
Max ran 5 miles on Thursday. One mile is equal to 5,280 feet. Which proportion can be used to determine how many feet, x, Max ran on Thursday?
Answer:
x/5 = 5280/1
Step-by-step explanation:
this is a proportion set up and then cross multiple. You will get your answer for x. Which is 26, 400 feet.
A number increased by a% and decreased by 80% is 400. What is the number?
will give brainliest
Answer:
If we have a given number N, and we increase it by x%, then the new number is:
N + (x%/100%)*N
While if we decrease it by x%, the new number will be:
N - (x%/100%)*N
Now, we know that:
"A number increased by a% and decreased by 80% is 400. What is the number?"
First, we can not solve the problem, because we have two unknown values, the original number and the "a%", which I guess is a typo.
So, to be general with my answer, let's assume that the actual question is:
"A number increased by 50% and decreased by 80% is 400. What is the number?"
Then, if our original number is N and we increase it by 50%, the new number will be:
N + N*(50%/100%)
N + N*0.5
N*(1 + 0.5)
N*(1.5)
Now we decrease it by 80%, and that will be equal to 400, then:
N*1.5 - N*(1.5)*(80%/100%) = 400
N*1.5 - N*1.5*0.8 = 400
N*(1.5 - 1.5*0.8) = 400
N*(0.3) = 400
N = 400/0.3 = 1,333.33...
Remember that this is a kinda general solution, so you can understand how to solve this type of problem.
The two triangles in the diagram are similar.
There are two possible values of x.
Work out each of these values.
state both assumptions* you make in your working.
In this case, the equation is 6/2 = x/3, so x = 6/2 * 3/1 = 9/2.Therefore, the two possible values of x are 11/6 and 9/2.
What are corresponding angles?Corresponding angles are angles that have the same relative position when two parallel lines are cut by a transversal line. When two parallel lines are cut by a transversal, corresponding angles are the same size. Corresponding angles are also known as vertically opposite angles.
In order to determine the value of x, we must assume that the two triangles in the diagram are similar. This means that the corresponding angles are equal and the corresponding sides are proportional. We will also assume that the angles of the triangle are in degrees and the sides are in the same unit of length.
Using the properties of similar triangles, we can calculate the value of x. We start by looking at the given angles, which are both 60°. Since the sides are proportional, we can set up a proportion equation between the two sides. We will use the side lengths given in the diagram to solve the proportion equation.
The proportion equation is: 11/3 = x/2.
Solving this equation for x, we get x = 11/3 * 2/1, which simplifies to x = 11/6.
We can also use the same equation to solve for x using the second given side length, which is 6. In this case, the equation is 6/2 = x/3, so x = 6/2 * 3/1 = 9/2.
Therefore, the two possible values of x are 11/6 and 9/2.
* The assumptions that I made in my working are that the two triangles in the diagram are similar and that the angles are measured in degrees and the sides are measured in the same unit of length.
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someone please answer this its confusing me
Musa is 5 years less than 3 times Amina's age. How can that be represented as an expression?
3a - 5
5•(a - 3)
5 - 3a
3•(5 - a)
Answer:
3A-5
Step-by-step explanation:
Answer:
3a-5
answer
gjjkklkhggghhh
Different liquids freeze at different temperatures, called their freezing points. Liquid acetone, used in nail polish remover, has a freezing point of – 137°F. Water has a freezing point of 32°F. How much warmer is the freezing point of water than the freezing point of acetone? °F
The freezing point of water in relation to the freezing point of acetone, is 169 °F
How to find the difference in freezing points?The difference between the freezing point of water (how much warmer the freezing point of water is) and the freezing point of acetone can be found by the formula:
= Freezing point of water - Freezing point of acetone
Freezing point of water = 32°F
Freezing point of Acetone = – 137°F
In relation to the freezing point of acetone, the degrees warmer that the freezing point of water is:
= 32 - (- 137)
= 32 + 137
= 169 °F
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there exist two complex numbers $c$, say $c 1$ and $c 2$, so that $3 2i$, $6 i$, and $c$ form the vertices of an equilateral triangle. find the product $c 1 c 2$ in rectangular form.
(200 - 100√2) / 16 is the rectangular form of the product c1*c2 for an equilateral triangle's vertices.
What is triangle?A triangle is a three-sided polygon that is sometimes (but not always) referred to as the trigon. Every triangle has three sides and three angles, which may or may not be the same.
Here,
An equilateral triangle is a triangle with three equal sides. If 3-2i, 6-i, and c form the vertices of an equilateral triangle, then the distance between 3-2i and 6-i is equal to the distance between 3-2i and c.
The distance between two complex numbers a + bi and c + di can be found using the formula:
√((c - a)² + (d - b)²)
So, the distance between 3-2i and 6-i is:
√((6 - 3)² + (-1 - (-2))²) = √((3)² + (1)²) = √(9 + 1) = √10
And the distance between 3-2i and c is:
√((c - 3)² + (c - (-2))²) = √((c - 3)² + (c + 2)²)
Since these distances must be equal, we have:
√((c - 3)² + (c + 2)²) = √10
Squaring both sides:
(c - 3)² + (c + 2)² = 10
Expanding both sides:
c² - 6c + 9 + c² + 4c + 4 = 10
Combining like terms:
2c² + 10c + 5 = 10
Subtracting 10 from both sides:
2c² + 10c - 5 = 0
This is a quadratic equation, which can be solved using the quadratic formula:
c = (-b ± √(b² - 4ac)) / 2a
Where a = 2, b = 10, and c = -5. Plugging these values into the formula:
c = (-10 ± √(10² - 4 * 2 * -5)) / 2 * 2
c = (-10 ± √(100 + 40)) / 4
c = (-10 ± √(140)) / 4
c = (-10 ± 10√2) / 4
So there are two complex solutions, c1 = (-10 + 10√2) / 4 and c2 = (-10 - 10√2) / 4.
The product of these two solutions is:
c1 * c2 = ((-10 + 10√2) / 4) * ((-10 - 10√2) / 4)
= (100 - 100√2 + 100) / 16
= (200 - 100√2) / 16
(200 - 100√2) / 16 is the answer in rectangular form for the product c1*c2 for the vertices of an equilateral triangle.
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GIVING 20 POINTS
A parallelogram
always/never/sometimes a hexagon.
Answer: sometimes
bc a parallelogram can be different things like : squares, Rhombus, and a Rectangle
hoped this helped lmk if it did