In the question, the probability of getting the given number of success
from a specified number of trials is required.
The correct probability function to use is the binomial probability function.
Reasons:
The given parameters are;
The probability of success = 0.06
The number of trials = 15 trials
The probability of interest = The probability of two successes in 15 trials
Solution;
The required probability is given by the following binomial probability
distribution formula;
[tex]P(x) = \dbinom{n}{x}\cdot p^x \cdot q^x = \mathbf{\dfrac{n!}{(n - x)! \cdot x!} \cdot p^x \cdot q^x}[/tex]
Where:
n = Number of trials
x = Number of required success
p = Probability of a success
q = Probability of one failure = 1 - p
For the question, we get;
[tex]P(x) = \dfrac{15!}{(15 - 2)! \times 2!} \times 0.06^2 \times (1 - 0.06)^{15 - 2} \approx \mathbf{0.169}[/tex]
Therefore, the correct option is, a binomial probability function
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The question options are;
Binomial probability function
Normal probability density function
Standard normal probability density function
Poisson probability function
Select the graph which correctly displays the function f(x) = |x + 2|– 3.
graph 1
graph 2
graph 3
graph 4
Answer:
Graph 4
Step-by-step explanation:
I have to put more words lol
Matthew Bailey, as manager of Designs by Bailey, is upgrading his CAD software. The high-performance (HP) software rents for $3,000 per month per workstation. The standard-performance (SP) software rents for $2,000 per month per workstation. The productivity figures that he has available suggest that the HP software is faster for his kind of design. Therefore, with the HP software he will need five engineers and with the SP software he will need six. This translates into a variable cost of $200 per drawing for the HP system and $240 per drawing for the SP system. At his projected volume of 80 drawings per month, which system should he rent?
Using linear functions, it is found that the high-performance system should be rented.
A linear function has the following format:
[tex]y = ax + b[/tex]
In which:
a is the slope, which is the variable cost.b is the y-intercept, which is the fixed cost.With the high-performance software:
Fixed cost of $3,000 per month, hence [tex]b = 3000[/tex].Cost of $200 per drawing, hence [tex]a = 200[/tex]Then, the model is:
[tex]C_{hp}(d) = 3000 + 200d[/tex]
With the standard-performance software:
Fixed cost of $2,000 per month, hence [tex]b = 2000[/tex].Cost of $240 per drawing, hence [tex]a = 240[/tex]Then, the model is:
[tex]C_{sp}(d) = 2000 + 240d[/tex]
The costs for 80 drawings, that is, [tex]d = 80[/tex] for both cases are given by:
[tex]C_{hp}(80) = 3000 + 200(80) = 19000[/tex]
[tex]C_{sp}(80) = 2000 + 240(80) = 21200[/tex]
Due to the lower cost, the high-performance system should be rented.
A similar problem is given at https://brainly.com/question/20849340
What is the difference between (2.4x10^8) and (9.2x10^6)
Answer:
2.308×10^8
Step-by-step explanation:
Your calculator can tell you what the difference is.
2.4×10^8 -9.2×10^6 = (2.4 -0.092)×10^8 = 2.308×10^8
_____
Additional comment
If this is a problem where you're expected to round the answer to an appropriate number of significant figures, you will notice the largest contributor has a resolution of 0.1×10^8. That will be the resolution required in the answer: 2.3×10^8.
The table shows the results of a survey of 100 people selected at random at an airport. Find the experimental probability that a person selected at random is going to City D
Answer: 12% of people responded as City D
Mr. Morgan's ice cream shop made $1,380 last weekend selling $2 scoops of ice cream. If he sells 100 more scoops this weekend, about how many scoops will he sell?
Answer:
1580$
Step-by-step explanation:
−3 2/3=x−1 1/4 pls help
Answer:
- 2 5/12Step-by-step explanation:
−3 2/3 = x − 1 1/4x = - 3 2/3 + 1 1/4x = - 2 - 2/3 + 1/4x = - 2 - 8/12 + 3/12x = - 2 - 5/12x = - 2 5/12Find the volume of each shape. Round your answer to two decimal places.
Answer:
25
Step-by-step explanation:
25
Mrs. Salcido cut a small birthday cake into 6 equal pieces for 6 children one child was not hungry, so she gave the birthday boy a piece. draw and label a tape diagram to show how much each of the 5 children receive. need answers ASAP for 93 point
Answer:
Is there a reference? there's insufficient information.
Step-by-step explanation:
plz help on a timed test will pay 10 points and make brainlest
What other countries have set up early earthquake warning systems? Which of these countries are in the Ring of Fire? Why is it important for these Ring of Fire countries to have warning systems?
Answer:
Mexico, Japan, South Korea, Taiwan, and the United States, Chile, Japan, the US west coast; Chile, Japan, the US west coast; So all that is left for the people who live around the Ring of Fire is to be aware of the danger, perhaps to live further inland, build safer, earthquake-resistant housing, and for nations everywhere to improve oceanic and land-based early-warning systems to help minimize the risk to life
Step-by-step explanation:
which of the following is a multiple of 2
A. 2461
B. 1000
C. 75
D. 847
the answer is B. 2*500
1000
This is the answer
Step-by-step explanation:
Because it has 0 at the last
and 0 is divisible by 2
The only number that is a multiple of 2 among the given options is B. 1000.
To determine which of the given numbers is a multiple of 2, we need to check if the number is divisible by 2 without leaving a remainder. In other words, if a number is even, it is divisible by 2.
Let's examine each option:
A. 2461: This number is not divisible by 2 since it ends in 1, which makes it an odd number.
B. 1000: This number is divisible by 2 because it ends in 0. Even numbers always end in 0, 2, 4, 6, or 8.
C. 75: This number is not divisible by 2 because it ends in 5, which is an odd number.
D. 847: This number is not divisible by 2 since it ends in 7, which makes it an odd number.
Therefore, the only number that is a multiple of 2 among the given options is B. 1000. It is divisible by 2 and is an even number.
Knowing whether a number is a multiple of 2 is important in various mathematical and computational operations, such as determining divisibility, performing parity checks, and optimizing algorithms that involve even numbers.
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Help help help help please please
PLEASE SHOW YOUR WORK!!!
Solve for y: 3^3 + 14 y- (25y - 13) = y + 7y - 9y
Answer:
y = 4
Step-by-step explanation:
3^3 + 14y - (25y - 13) = y + 7y - 9y
Exponents first.
27 + 14y - (25y - 13) = y + 7y - 9y
Distribute the negative sign from the parenthesis.
27 + 14y - 25y + 13 = y + 7y - 9y
Common terms.
27 + 13 = 40
14y - 25y = -11y
y + 7y - 9y = -y
40 - 11y = -y
Add 11 to both sides.
40 = 10y
Divide both sides by 10.
4 = y
Rearrange.
y = 4.
Adrienne biked 24 miles in 5 1/2 hours. If she biked at a constant speed, how many miles did she ride in one hour?
1. How can you solve this?
Answer:
4.36
Step-by-step explanation:
dividing the amount of hours by how many miles Adrienne went will give you how many miles she went per hour.
Equation:
a÷b
a=24
b=5.5 (5 1/2)
24÷5.5=4.36
Please answer!! Only if your answer is correct though.
Answer:
f(6) = -8
g(-3) = 59
Step-by-step explanation:
Read other responses on other answered questions. Comment below if you'd like a detailed explanation.
A type of bacterium triples in population every hour. Assuming you start with
80 bacteria, the formula that models the number of bacteria at the beginning
of hour nis:
a(n) = 80 • 31-1
How many bacteria will there be at the beginning of hour 5?
A. 19,440
B. 1200
C. 720
D. 6480
Answer:
Here
Step-by-step explanation:
It is B Because if you do (8 times 3)5 it equals 1200
4.
Which of the following equations describes the graph?
A. y = 1/2x^2 - x + 2
B. y = 1/3x^2 - x - 2
C. y = -1/2x^2 - x - 2
D. y = 1/3x^2 - x + 2
Answer: The answer is NOT letter B or letter C
D. y = 1/3x^2 - x + 2
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex: ( 3 /2 , 5 /4 )
Focus: ( 3 /2 , 2 )
Axis of Symmetry: x = 3 /2
Directrix: y = 1 /2
x y
0 2
1 4 /3
3 /2 5 /4
3 2
4 10 /3
(a) A box contains 7 red balls, 6 white balls, and 7 black balls. Two balls are drawn at random from the box (with replacement of the first before the second is drawn). What is the probability of getting a red ball on the first draw and a white ball on the second
Answer:
Step-by-step explanation:
20=total marbles
7/20 × 6/20= 21/400 or 5.25%
red white
Which of the following correctly shows the re-grouping for 45 x 12? Group of answer choices 40 x 10; 5 x 10; 40 x 2; 5 x 40
40 x 10; 5 x 10; 40 x 5; 5 x 2
40 x 5; 5 x 10; 40 x 2; 5 x 2
40 x 10; 5 x 10; 40 x 2; 5 x 2
Answer:
40x10;5x10;40x2;5x2
400+50+80+10
=540
74E10. La siguiente gráfica relaciona el precio a pagar en pesos por el número de horas en un estacionamiento público.
¿Cuál es el pago, en pesos, que se debe efectuar por haber dejado el carro en el estacionamiento 3 horas 15 minutos?
A)20 B)40 C)46 D)50
Usando una función lineal, se encuentra que el pago es:
C) 46
Una funcion lineal tiene el seguiente formato:
[tex]y = ax + b[/tex]
En que:
a eres lá inclinacion, o sea, la taja de cambio. b eres el intercepto, o sea, el valor de y cuando x = 0.En la gráfica, hay los puntos (0,20) y (5, 60), por eso:
El intercepto es [tex]b = 20[/tex]La taja es dada por el cambio en y dividido por el cambio en x, o sea:
[tex]a = \frac{60 - 20}{5 - 0} = 8[/tex]
Por eso:
[tex]y = 8x + 20[/tex]
Con 3 horas y 15 minutos, el tiempo es de 3.25 horas, puesto que [tex]\frac{15}{60} = 0.25[/tex], por eso:
[tex]y = 8(3.25) + 20 = 46[/tex]
Un problema similar es dado en https://brainly.com/question/24543328
The diameter of Pilar's bike wheel is 24 inches.
How far does Pilar's bike travel when the wheel makes
10 complete rotations?
The distance Pilar's bike travel when the wheel makes 10 complete rotations is 753.6 inches
Since the wheel is circular in nature, we will take the circumference to determine the distance travelled for 1 revolution
Circumference of a circle = πr²
r is the radius of the wheel.
Given that d = 24 in, r = 24/2 = 12in
C = 2(3.14)(12)
C = 75.36 in
Hence the distance completed by 1 revolution is 75.36. If Pilar's bike makes 10 revolutions, hence the required distance will be:
D = 10 * 75.36
D = 753.6in
Hence the distance Pilar's bike travel when the wheel makes 10 complete rotations is 753.6 inches
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What’s 100/100 in simplest form
Answer:
1 or 1/1.
Step-by-step explanation:
100/100 simplest form is 1.
We know this because 100/100 is 1. You could just do 1/1.
100/100 to 10/10 to 1/1 which is 1.
Identify a pattern in each list of numbers. Then use this pattern to find the next number.
-3, 12, -33, 102, -303, ___
[tex]\begin{array}{cccccccc}\\ \underline{-3}&,&12&,&-33&,&102\\ \cline{1-7} &&(-3)(\underline{-3})+3&&(-3)(12)+3&&(-3)(-33)+3 \end{array} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccc} -303&,&912\\ \cline{1-3} (-3)(102)+3&&(-3)(-303)+3 \end{array}[/tex]
should I buy a new gold ring today
Answer: go for it!
Step-by-step explanation:
Sales of different ice cream flavors at a small ice cream shop were recorded for one week. The graph shown here displays the sales of each different flavor.
What is the mean of the data?
A)6
B)7
C)8
D)9
Answer:
its c
Step-by-step explanation:
i did da quiz
Mean of Number of scope is 8
Given that;
Number of scope of Vanilla = .6
Number of scope of chocolate = 14
Number of scope of strawberry = 10
Number of scope of Butter pecan = 6
Number of scope of cookie dough = 4
Number of scope of moose track = 8
Find:
Mean of Number of scope
Computation:
Mean of Number of scope = [6+14+10+6+4+8] / 6
Mean of Number of scope = [48] / 6
Mean of Number of scope = 8
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help please, i’m struggling on this
Answer:
help please, i’m struggling on this
5.
Emily is currently being paid monthly and earns $3,500 in gross pay with every paycheck. Her
employer has decided to shift their pay schedule to a biweekly schedule.
How much less will Emily receive in gross pay per paycheck after the shift?
Answer:
Emily receives $1,750 less after the shift
Step-by-step explanation:
A package contains 12 ounces of cereal .If you use 1 portion of this cereal which is 1 1/3 how much would be left in the cereal box?
To answer this question, you would need to divide the total amount of cereal in the box by the serving size.
This would be 12 2/3 divided by 1 1/3.
We can write each mixed number as an improper fraction first before we divide:12 2/3 = 38/3 and 1 1/3 = 4/3
Now divide 38/3 by 4/3. Recall that dividing by a fraction is accomplished by multiplying by the reciprocal of the divisor: 38/3 * 3/4 = 114/12 = 38/4 OR 19/2
Also, 19/2 is equivalent to 9 and 1/2. There would be 9 and 1/2 servings in the box of cereal.
Hope this helps
Which expression is the factored form of
—4.5n +3
A. -1.5 (3n + 2)
B. -3(1.5n - 1)
C. -3(1.5n + 1)
D. -1.5(-3n + 2)
I didn’t mean to choose an answer in the picture btw
Let's check one by one
#1
[tex]\\ \tt\longmapsto -1.5(3n+2)=-4.5n-3[/tex]
No#2
[tex]\\ \tt\longmapsto -3(1.5n-1)=-4.5n+3[/tex]
Yes#3
[tex]\\ \tt\longmapsto -3(1.5n+1)=-4.5n-3[/tex]
No#4
[tex]\\ \tt\longmapsto -1.5(-3n+2)=4.5n-3[/tex]
No1.Amulya is x years now. Write expressions for her age 5 years ago?
Take Sarita’s Age to be y years
a) What will be her age 5 years from now?
b) What was her age 3 years now?
c) Sarita’s grandfather is 6 times her age. What is the age of her grandfather?
d)Grandmother is 2 years younger than grandfather. What is his grandmother ’s age?
e) Sarita’s father’s is age is 5 years more than 3 times Sarita’s age. What is her father’s age?
Answer:
Step-by-step explanation:
1) a = x - 5
a) z = y + 5
b) z = y - 3
c) z = 6y
d) z = 6y - 2
e) z = 3y + 5
Pease someone help me with this.
I just need two more tiles to create but I don't know how they would look like.
I will show below what I have filled and what the question is asking.
Question: How many different layouts are possible for a path that is five feet long? Draw them all here:
Answer:
go get that girl
Step-by-step explanation:
sike you use what you got the first time
Answer:
If the path is 5 feet long, then you could only have a limited amount of layouts...so- you could only have 5 limited spaces in one layout, making it 5 DIFFERENT LAYOUTS.
(I don't know what they're really asking, but I did what makes sense, SORRY if I'm wrong, I'm going to try and solve it better/draw it.)
