Answer:
0.45
Step-by-step explanation:
A probability experiment is conducted in which the sample space of the experiment is S ={6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17}. Let event E={6, 7, 8, 9. 10, 11, 12, 13}. Assume each outcome is equally likely. List the outcome in E°. Find P(E°).
The complement of event E, E°, is {14, 15, 16, 17}. The probability of event E° is 1/3, as all outcomes in the sample space are equally likely, with a probability of 1/12.
E° is the complement of event E. It is the set of all outcomes that are not in event E and can be expressed as E° = {14, 15, 16, 17}.The probability of event E° is calculated by summing the probabilities of all outcomes in the event, P(E°) = P(14) + P(15) + P(16) + P(17). Since all outcomes in the sample space are equally likely, the probability of each outcome is 1/12. This means that the probability of event E° is calculated as follows:
P(E°) = 1/12 + 1/12 + 1/12 + 1/12 = 4/12 = 1/3.
Therefore, The complement of event E, E°, is {14, 15, 16, 17}. The probability of event E° is 1/3, as all outcomes in the sample space are equally likely, with a probability of 1/12.
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Find the 12th term of the arithmetic sequence whose common difference is d=6 and whose first term is a, = 2.
Answer:
The 12th term is 68Step-by-step explanation:
Since the sequence is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
d = 6
a = 2
n = 12
So the 12th term of the sequence is
A(12) = 2 + (12-1)6
= 2 + 11(6)
= 2 + 66
A(12) = 68Hope this helps you
2. Write the slope-intercept form of the equation of the line described.
Parallel to y=-x-5; through (4, -3)
Answer:
y = -x + 1
Step-by-step explanation:
We're putting it into the form y=mx+b where m is the slope, and b is the y-intercept.
When two lines are parallel, they have the same slope, so the slope is going to be -1.
New equation: y = -x + b.
Now, you know that (4, -3) is a solution so you can plug in x = 4 and y = -3, then see what value of b make the equation true.
-3 = -4 + b
add 4 to both sides
1 = b
This means that the equation is y = -x + 1
An urn holds 9 identical balls except that 1 is white, 3 are black, and 5 are red. An exp How many outcomes are in the sample space for this experiment? How many outcomes are in the event "no ball is
Answer c
Step-by-step explanation:
formula used to measure area is
Answer:
The formula for measuring the area differs according to shape.
The formula for area of square = a*a
The formula for area of rectangle = l*b
The formula for area of triangle = 1/2*base*height
HOPE IT HELPS :)
PLEASE MARK IT THE BRAINLIEST!
Answer:
Step-by-step explanation:
It depends on the shape
For rectangle it is length x breadth
For triangle it is 1/2 x base x height
For square it is L^2
For circle it is pi x r^2
Etc
What is the value for y
Answer:
y=28
Step-by-step explanation:
4y=180-34-34
4y=180-68
4y=112
y=28
Answer:
y=28
Step-by-step explanation:
34 is equal to (x-5). multiply 34 times 2, and it equals 68. all of the sides equal 180, therefore meaning 4y equals 112. divide by 4 and get 28.
Can someone plz help me with this one Problem I will mark BRAINLIEST!!!!
Answer:
the slope is 1 and y-intercept s 4 so:
the first point is (0,4)
then go 1 right and 1 up
keep doing that and brainliest me pls
Price of oil decreased from ₹70 to ₹50. The percentage of decrease is ________. *
Answer:
Twenty - percent pounds
A recipe requires 34 cups of milk. Paula is making 12 of the recipe. How many cups of milk will Paula use?
Help me please. Please number 3 I need help
Answer:
Because they are both using (g units rates).
Step-by-step explanation:
(HELP ASAP PLEAS) Find the missing length of the green triangle.
The required value of b is 24 cm.
Given that, in a right-angled triangle, hypotenuse = 26 cm, perpendicular = 10 cm and base = b cm
Pythagoras theorem states that \(hypotenuse^{2} = base^2+perpendicular^{2}\).
That implies, \(26^2 = b^2+10^2\).
By substituting the square values gives,
676 = \(b^2\) + 100.
By subtracting 100 from both sides gives,
576 = \(b^2\).
The above equation can be expressed as
\(24^2 = b^2\)
By taking square root on both sides gives,
24 = b
Therefore, the required value of b is 24 cm.
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What’s the unit rate of 144 pages in 3 minutes ?
How do you think statistics may at times not say something? How can a well-designed study be used to carefully say everything that is important about a population? Is it possible to do so?
Answer:
While statistics are extremely valuable, they are also notorious for being a means that people use to make false and misleading arguments. Also far too often statistics are obtained by taking a sample from a larger group and assuming the whole group has the same characteristics as the sample.
A sample provides a smaller set of the population for review, that delivers data that is useful to represent the whole population. Surveying a smaller sample, as opposed to the entire population, can save precious time for researchers and offer urgent data.
Step-by-step explanation:
Hope it is helpful.....
Mrs. Dean harvested 1 pounds of green peppers,
2 pounds of yellow peppers, and 5pounds of red
peppers from her garden. Is 8 pounds, 9 pounds, or
10 pounds a more reasonable estimate for how many
pounds of peppers she harvested altogether?
PLEASE ANSWER
Answer: 8 Pounds because it doesn't have to be an estimate due to it being the actual number.
Step-by-step explanation: because it doesn't have to be an estimate due to it being the actual number.
which expression is equivalent to -11 - (-7)?
A.-11-7
B.11 -7
C.11 +7
D.-11 +7
Answer:
d. -11+7
Step-by-step explanation:
two negatives make a positive.
i hope this helps :)
at a checkout counter customers arrive at an average of 1.5 per minute. find the probabilities that (a) at most 4 will arrive in any given minute. (b) at least 3 will arrive during an interval of 2 minutes.
(a) The probability of at most 4 customers arriving in any given minute is 0.835.
(b) The probability of at least 3 customers arriving in an interval of 2 minutes is 0.668.
Step by step explanation:
(a) To find the probability of at most 4 customers arriving in any given minute, we need to use the Poisson Distribution formula: P(X ≤ x) = Σ (e-λ λk) / k!
where λ is the mean number of customers arriving in one minute, which is 1.5.
Therefore, P(X ≤ 4) = Σ (e-1.5 (1.5)k) / k! = 0.835.
(b) To find the probability of at least 3 customers arriving in an interval of 2 minutes, we need to use the same Poisson Distribution formula.
This time, λ = 3 (the mean number of customers arriving in two minutes).
Therefore, P(X ≥ 3) = 1 - Σ (e-3 (3)k) / k! (where k ranges from 0 to 2)
= 1 - (0.224 + 0.452 + 0.224) = 0.668.
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You pick a card at random. 1 2 3 What is P(not even)?
An 1 οr perhaps an even integer will be drawn back 75% οf the times frοm the set οf 1, 2, 3 and 4. Thus, Prοbability P(nοt even) is 75%.
Hοw simple is prοbability?Prοbability is the likelihοοd that sοmething will οccur οr the prοbability that sοmething will happen. Prοbability is the measure οf hοw prοbable it is that a cοin will land heads up after being tοssed intο the air.
As prοbabilistic arguments sοmetimes prοduce οutcοmes that appear cοntradictοry οr illοgical, prοbability is usually regarded as amοng the mοst challenging tοpics οf mathematics.
P(1) = 1/4(there is one card with a 1)
P(even) = 2/4 = 1/2 (there are 2 cards with even numbers out of 4)
Therefore,
P( 1 or even) =P(1) + P(even)
= 1/4 + 1/2
= 3/4
To express the answer as a percentage, we can multiply by 100:
P(1 or even) = 3/4 × 100%
=> 75%
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You pick a card at random. card 1, card 2 and card 3
What is P(not even)?
Write your answer as a fraction or percentage.
which of the following data flow diagram symbols is used to show a transformation process in a dfd? a. an image shows a small shaded triangle. b. an image shows two small solid lines arranged one above the other. c. an image shows a circle. d. an image shows a square.
Circle
The symbol used to represent the transformation process in a DFD (Data Flow Diagram) is a circle. Therefore, the option (c) is correct.The DFD is a graphical representation of the data flow through an information system. It is used to represent and design systems analysis and information systems architecture of an organization. A DFD consists of various symbols that are used to represent the components of the system, such as processes, data flows, and data stores. Below are the details of all the options given in the question:Option (a) shows a small shaded triangle. This symbol is used to represent the flow of data from one place to another in a single direction.Option (b) shows two small solid lines arranged one above the other. This symbol is used to represent a document or report in the data flow.Option (d) shows a square. This symbol is used to represent a data store or a database.In summary, a circle is used to represent the transformation process in a DFD.
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A cylinder has a height of 17 feet and a radius of 6 feet. What is its volume? Use ≈ 3.14
and round your answer to the nearest hundredth.
Answer:
1921.68 \(ft^{3}\)
Step-by-step explanation:
V = pi*r*r*h
= 3.14*6*6*17
= 1921.68
In a circle, an angle measuring 2.4 radians intercepts an arc of length 24.4. Find the radius of the circle to the nearest
The radius of the circle is approximately 10.17 units (rounded to two decimal places).
To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:
arc length = radius x central angle
In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:
24.4 = r x 2.4
Solving for r, we get:
r = 24.4 / 2.4
r ≈ 10.17
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A fence is used to enclose a small section of a courtyard. If you have 40 meters of fencing to use, what is the maximum area of the fenced in section?
The maximum area is the highest possible area of the fence
The maximum area is 100 squared units
The perimeter is given as:
\(P = 40\)
This is calculated as:
\(P=2 \times (L + W)\)
So, we have:
\(2 \times (L + W) =40\)
Divide both sides by 2
\(L + W =20\)
Make L the subject
\(L =20 -W\)
The area of the fence is:
\(A = L \times W\)
So, we have:
\(A = (20 -W) \times W\)
\(A = 20W -W^2\)
Differentiate
\(A' = 20 -2W\)
Set to 0
\(20 -2W = 0\)
Solve for W
\(2W = 20\)
\(W = \frac{20}{2}\)
\(W = 10\)
Recall that:
\(A = (20 -W) \times W\)
\(A = (20 -10) \times 10\)
\(A = (20 =10) \times 10\)
\(A = 100\)
Hence, the maximum area is 100 squared units
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.La señora Juanita encargó a su hijo Juan que realice las compras en el supermercado por dos días consecutivos. Después de una semana la Sra. Juanita le preguntó a su hijo Juan cuánto costó el kilogramo de naranjas y el kilogramo de manzanas. Juan manifestó que sólo recordaba que el primer día gastó 8,90 soles en total, al comprar 1 kg de naranjas y 4 kg de manzanas; y que el segundo día gastó 24,50 soles al comprar 5 kg de naranjas y 10 kg de manzanas. ¿Cuánto costó cada kilogramo de naranja y de manzanas?
Answer:
El precio de cada kilogramo de naranja y de manzana es 0.9 soles y 2 soles respectivamente.
Step-by-step explanation:
Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.
Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.
En este caso, se debe plantear un sistema de ecuaciones. Se determinan las variables:
x: precio de cada kilogramo de naranjay: precio de cada kilogramo de manzanasJuan el primer día gastó 8,90 soles en total al comprar 1 kg de naranjas y 4 kg de manzanas; y el segundo día gastó 24,50 soles al comprar 5 kg de naranjas y 10 kg de manzanas. Entonces el sistema de ecuaciones a resolver es:
\(\left \{ {{x+4*y=8.90} \atop {5*x+10*y=24.50}} \right.\)
Se decide resolver el sistema a través del método de sustitución, que consiste en despejar una de las incógnitas en una de las ecuaciones y sustituir su valor en la siguiente. En este caso despejando la variable x de la primera ecuación se obtiene:
x= 8.90 - 4*y
Reemplazando esta expresión en la segunda ecuación se obtiene:
5*(8.90 -4*y) + 10*y=24.50
Resolviendo se obtiene:
5*8.90 -5*4*y + 10*y=24.50
44.5 -20*y + 10*y=24.50
-20*y + 10*y=24.50 -44.5
-10*y= -20
y= (-20)÷ (-10)
y= 2
Reemplazando el valor de y obtenido en la expresión x= 8.90 - 4*y se obtiene:
x= 8.90 - 4*2
x= 8.90 - 8
x=0.9
El precio de cada kilogramo de naranja y de manzana es 0.9 soles y 2 soles respectivamente.
HELP ME JUST ANSWER PLZ IM SUFFERING I WILL GIVE YOU BRAINLYEST OR WHATEVER
Answer:
534.07in squared is what I got for the surface area
Step-by-step explanation:
find the product of (l-2m)(l-4m)
Answer:
= ( l - 2m ) × ( l - 4m )
= l² - 4ml - 2ml + 8m²
= l²- 6ml + 8m²
Step-by-step explanation:
hope this answer will help you
9(18) using disributive property.
Answer:
162
Step-by-step explanation:
9 * 18 = 162
Answer:
162
Step-by-step explanation:
Solve the equation
56 ÷ (-8)= ?
Answer:
-7
Step-by-step explanation:
Because for dividing one positive and one negative number, the rule is that the answer is going to be negative. So, what you can do is just do 56÷8 which equals 7 then add the negative sign to make it -7.
The radius of a circle is 20 cm. Find its area in terms of π π.
Answer:
A = \(400\pi cm^2\)
Step-by-step explanation:
Area of a circle is:
A = πr²
We are given a radius of 20 cm.
A = πr²
A = π(20)²
A = π400
A = 400πcm²
Hope this helps.
School ends at 3:15 pm. The school provides after -school care for a maximum of 150 minutes after school ends. When is the latest time for pick up?
The latest time for pickup, found by converting the 150 minutes maximum time provided by the school, from minutes to hours is about 5:45 pm
How can minutes be converted into hours?Minutes can be converted into hours by dividing the number of minutes by 60, which is the number of minutes in an hour.
The time that school ends = 3:15 pm
The latest time for pick up after school care = 150 minutes after school ends
Therefore, the latest time for pick up after school care = 3:15 pm + 150 minutes
60 minutes = 1 hour
150 minutes = (1/60) × 150 = 2.5
The latest for pick up = 3:15 pm + 2.5 hours = 5:45 pm
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An independent basic service set (IBSS) consists of how many access points?
An independent basic service set (IBSS) does not consist of any access points.
In an IBSS, devices such as laptops or smartphones connect with each other on a peer-to-peer basis, forming a temporary network. This type of network can be useful in situations where there is no existing infrastructure or when devices need to communicate with each other directly.
Since an IBSS does not involve any access points, it is not limited by the number of access points. Instead, the number of devices that can be part of an IBSS depends on the capabilities of the devices themselves and the network protocols being used.
To summarize, an IBSS does not consist of any access points. Instead, it is a network configuration where wireless devices communicate directly with each other. The number of devices that can be part of an IBSS depends on the capabilities of the devices and the network protocols being used.
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Jon measured the length of the 6th grade hall and
found it was 7,000 cm. Amy suggested that
meters would be more appropriate unit, and
recorded the length of the hall as _______ m.
Jon measured the length of the 6th grade hall and
found it was 7,000 cm. Amy suggested that
meters would be more appropriate unit, and
recorded the length of the hall as _______ m.
Answer: 210
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