Interpret the probability. In 100 trials of this experiment, it is expected about (Round to the nearest whole number as needed.) to result in exactly 15 flights being on time
Answers
Hence, it is expected that 14 flights will arrive on time out of the 100 trials of this experiment.
What is the probability?The probability of an occurrence is a number used in mathematics to describe how likely it is that the event will take place. In terms of percentage notation, between 0% and 100% it is expressed as a number between 0 and 1, or . The higher the likelihood, the more likely it is that the event will take place.
What is the trials?when we refer to an experiment or trial, we mean a random experiment. When difference between a trial and an experiment, think of the experiment as a larger entity created by the fusion of several trials.
Unless otherwise stated,A trial is any specific outcome of a random experiment. In other words, a trial of the experiment is what we call when we conduct an experiment.
according to question, the number of on-time flights in 100 trials as a binomial random variable with parameters n = 100 (the number of trials) and p (the chance of success, i.e., a flight being on time), presuming that the probability of a flight being on time is the same in all trials.
The expected number of on-time flights in 100 trials is E(X) = np if the same of a flight being on time is p. Given that E(X) = 15, we determine p ,
E(X) = n p = 15 n = 100
p = \(\frac{E(X)}{n} = \frac{15}{100}\) = 0.15
Therefore, it is probability that 0.15 %of flights will arrive on time.
To determine the expected number of trials from a total of 100
Using the probability mass function of the binomial distribution, we can get the expected probability of trials out of 100 that result in precisely 15 flights departing on time:
\(P(X = 15)=(100 choose 15) * 0.15^{15} * 0.85^{85}\)
We can calculate this 0.144 get using a calculator.
therefore it is expected that 14 flights will arrive on time out of the 100 trials of this experiment. It should be noted that while this is an expected value, random fluctuation may cause the actual number of on-time flights in each trial to deviate somewhat from this figure.
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Related Questions
In AABC, the measure of ZC=90°, AC = 7, BA = 25, and CB= 24. What is the value of
the cosine of ZA to the nearest hundredth?
Answers
Answer:
Step-by-step explanation:
300
1. Chandra recorded her quarterly sales in a bargraph. Chandra will get a bors of $5.000her average quarterly sales for the year reach$70,000. What must her sales be for the fourthquarter in order for Chandra to earn the bonus?A $45,000B. $50,000C. 865,000D.60,000
Answers
Given:
Chandra get a bonus if average quarterly sales for an year exceeds $70000.
From the bar diagram, we can find the sales for each quarter.
The height of each bar gives the sales for each quarter.
Since the data in the vertical column is given in thousands of dollars, multiply the height of the bar by 1000 to get the correct sales value.
The sales for the first quarter is $40000.
The sales for the second quarter is $100000.
The sales for the third quarter is $80000.
Let x be the sales for the fourth quarter.
Now, the average of the quarterly sales is,
\(\begin{gathered} A=\frac{Sum\text{ of all quarterly sales}}{\text{Number of quarters}} \\ A=\frac{40000+100000+80000+x}{4} \end{gathered}\)Put A=70000 and solve the equation for x to obtain the sales for the fourth quarter so that Chandra gets bonus.
\(\begin{gathered} 70000=\frac{220000+x}{4} \\ 70000\times4=22000+x \\ 280000-220000=x \\ 60000=x \end{gathered}\)So, the sales of the fourth quarter must be $60000 in order for Chandra to earn the bonus.
Hence, option D is correct.
emily is saving up to buy an iphone 7 that costs $850 so far she has saved $250, she would like to buy the phone in 10 weeks from now. how much must she save every week to have enough money to purchase the phone in 10 weeks
solve for x
Answers
Answer: Emily must save $60 per week.
Step-by-step explanation:
$850- $250= $600
$600/ 10= $60
Not sure where the x plays into this, but I hope this helped!
To figure out how much Emily needs to save each week in order to buy the iPhone 7 in 10 weeks, we must first figure out the amount that money she still requires to save.
The iPhone 7 costs $850, and Emily has indeed saved $250. As a result, she must proceed to save: $850 - $250 = $600 Now we need to start figuring out the amount that Emily needs to save every week in order to reach her $600 goal in 10 weeks.
To do so, simply divide amount she requires to save it by the amount of weeks she has: $600 ÷ 10 weeks = $60/week So Emily requires to save $60 a week for the next ten weeks in order to afford the iPhone 7.
To sum up, Emily must save $600 in total in order to buy the iPhone 7, and she's got 10 weeks to do so. To reach her goal, she must save $60 per week for ten weeks ($600).
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Please please please help!
For AABC, AB = 6 and BC = 17. Which of the following is a possible length for AC?
Answers
Possible length of the third side of the Triangle must be between 11 and 23.
What is the Range of third side of Triangle ?As the third side of the triangle is between the sum of the sides and difference of the sides excluding both the numbers.
As triangle consist of three sides and it should must be in between two extreme values.
As by the property of Triangle
Third side should be less than sum of the sides and,
it should be greater than difference of the sides.
Sum of the sides = AB + BC = 6 + 17 = 23
Difference of the sides = 17 - 6 = 11
Then the third side will be between 11 and 23 excluding 11 and 23.
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evaluate the expression m=10 2m+10
Answers
because (2)(10) + 10
20+10=30
the 10 came from the m!!
a battery company developed a new product. quality engineers found that the life times of the new batteries have a normal distribution with mean 25000 minutes and standard deviation 3000 minutes. to attract new customers, the battery company will give customers full refund if the purchased batteries do not last longer than the minutes stated in the guarantee of the new battery. what is the guaranteed minutes if the battery company expects that 95 percent of the customers who purchase the new batteries will not be eligible for full refund?
Answers
95% of customers will not be eligible for full refund, so the guaranteed minutes would be the value at the 95th percentile of the normal distribution with standard deviation. This would be equal to 25000 + (1.645 x 3000) = 32,935 minutes.
1. Quality engineers found that the life times of the new batteries have a normal distribution with mean 25000 minutes and standard deviation 3000 minutes.
2. To attract new customers, the battery company will give customers full refund if the purchased batteries do not last longer than the minutes stated in the guarantee of the new battery.
3. To determine the guaranteed minutes, we need to find the value of the 95th percentile of the normal distribution.
4. The 95th percentile of the normal distribution is equal to the mean plus 1.645 times the standard deviation.
5. Therefore, the guaranteed minutes would be 25000 + (1.645 x 3000) = 32,935 minutes.
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solve. The scale of the drawing shows a two-bedroom apartment. The master bedroom is 9 ft x 12 ft. Use an inch ruler to measure the drawing. a. The scale is ...b. Write the actual dimensions for each room alongside the scale drawing. I'll upload the drawing picture.
Answers
Okay, here we have this:
Considering the provided measures, we are going to identify the scale of the drawing so we obtain the following:
Measuring with the inch ruler, we have:
The space that they say measures 9 feet in inches measures you 0.75, and the one that measures 12 feet in inches measures one inch.
a) Then the scale is: One actual inch equals 12 drawing feet.
b) The student put them on his own and they were verified
Find the value of angle x in the figures given below:
Kindly explain briefly
Answers
Answer:
I) x = 40, II) x = 60
Step-by-step explanation:
I) 180 is total of triangle. We already have 100 so we can subtract to find possible amounts for x: 180 - 100 = 80. 80 is now what we have left. We have 2 separate sides still unknown with each representing x. 80/2 sides results in 40.
II) 180 - 110 makes 70, which is the amount on bottom left corner. 70 plus 50 is 120 which is the amount in triangle apart from x. 180 - 120 = x. x is 60
In 2007, the number of tickets sold was again 210.
Adult tickets were $2.60 each and student tickets were $1.40 each.
The total amount received from selling the 210 tickets was $480.
How many student tickets were sold?
Answers
Step-by-step explanation:
1.40x + 2.60x = 480
4x =480
x=480÷4
x=120
168 and 312
What are the coordinates of the checkpoints?
Answers
Coordinates are a set of numbers that determine the position of a point in a particular space or on a particular surface.
The coordinates of a point are usually expressed as a set of two or three numbers (depending on the dimension of the space). In the context of a checkpoint, the coordinates would represent the exact location of that checkpoint.
To determine the coordinates of a checkpoint, you would need to use a mapping tool or GPS device that is capable of providing accurate location data. The coordinates may be expressed in different formats such as decimal degrees or degrees, minutes, and seconds, depending on the tool or system being used.
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Take my points and answer 1 + 19,000
Answers
Answer:
19,002
Step-by-step explanation:
4x-2y+3z= 23
X+ 5y - 3z -37
- 2x+y+4z = 27
Answers
Answer:
solving for x - 23/4 + 1/2y -3/4z
Step-by-step explanation:
figure: aggregate supply reference: ref 12-5 (figure: aggregate supply) if the economy is at point e, which of the following describes the likely adjustment process? group of answer choices nominal wages increase, and the short-run aggregate supply curve shifts left until actual and potential output are equal. nominal wages increase, and the short-run aggregate supply curve shifts right until potential output is greater than actual output. nominal wages decrease, and the short-run aggregate supply curve shifts right until potential output is less than actual output. nominal wages decrease, and the short-run aggregate supply curve shifts right until actual and potential output are equal.
Answers
If the economy is at point E on the aggregate supply curve, the likely adjustment process would involve nominal wages increasing, and the short-run aggregate supply curve shifting left until actual and potential output are equal.
When the economy is at point E, it indicates that actual output is greater than potential output. In this scenario, there is upward pressure on wages due to the higher demand for labor. As nominal wages increase, the cost of production for firms also increases. This leads to a leftward shift of the short-run aggregate supply (SRAS) curve.
The leftward shift of the SRAS curve means that at any given price level, firms are willing to produce and supply a lower quantity of goods and services. As a result, the economy moves along the aggregate demand (AD) curve toward a new equilibrium where actual output matches potential output. This adjustment process helps to close the output gap and restore equilibrium in the economy. By increasing nominal wages and shifting the SRAS curve to the left, the adjustment process aims to align actual output with potential output and achieve a more balanced economic state.
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match the integrals with the type of coordinates which make them the easiest to do. put the letter of the coordinate system to the left of the number of the integral. b 1. where e is: c 2. where e is: a 3. b 4. where e is: d 5. where d is: a. polar coordinates b. cartesian coordinates c. spherical coordinates d. cylindrical coordinates
Answers
1. C. cylindrical coordinates 2 A. spherical coordinates 3. A. spherical coordinates 4. D. Cartesian coordinates 5 B. polar coordinates
USE THE BOUNDARY INTERVALS TO IDENTIFY
1. ∭E dV where E is:
x^2 + y^2 + z^2<= 4, x>= 0, y>= 0, z>= 0 -- This is A CYLINDRICAL COORDINATES SINCE x>= 0, y>= 0, z>= 0
2. ∭E z^2 dV where E is:
-2 <= z <= 2,1 <= x^ 2 + y^2 <= 2 This is A SPHERICAL COORDINATES
3. ∭E z dV where E is:
1 <= x <= 2, 3<= y <= 4,5 <= z <= 6 -- This is A SPHERICAL COORDINATES
4. ∫10∫y^20 1/x dx ---- This is A CARTESIAN COORDINATES
5. ∬D 1/x^2 + y^2 dA where D is: x^2 + y^2 <=4 This is A POLAR COORDINATES
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a similar extra-large protein bar company has a manufacturing process that creates snack bars with a process mean of 18 ounces and standard deviation of 2.5 ounces. according to cpk is this process capable of meeting an 17.5 ounce -2.5 requirement?
Answers
The given manufacturing process has a CpK value of 0.4, which indicates that it is not capable of meeting the requirement of producing protein bars with a weight of 17.5 ounces.
Explanation:
The CpK (Process Capability Index) value is a measure of how well a process is capable of meeting the specifications or requirements. It takes into account both the process mean and the variability of the process. A CpK value of 1 indicates that the process is capable of meeting the requirement, while a CpK value less than 1 indicates that the process is not capable of meeting the requirement.
In this case, the process mean is 18 ounces and the standard deviation is 2.5 ounces. To find the CpK value, we need to calculate the upper and lower specification limits. Since the requirement is to produce protein bars with a weight of 17.5 ounces, and the requirement is at -2.5 from the process mean, the lower specification limit would be 18 - 2.5 = 15.5 ounces. The upper specification limit would be 18 + 2.5 = 20.5 ounces.
The CpK value can be calculated using the formula:
CpK = min((USL - mean)/3σ, (mean - LSL)/3σ)
where USL is the upper specification limit, LSL is the lower specification limit, σ is the standard deviation, and mean is the process mean.
Substituting the values, we get:
CpK = min((20.5 - 18)/(3 × 2.5), (18 - 15.5)/(3 × 2.5))
= min(0.4, 0.4)
= 0.4
Since the CpK value is less than 1, the process is not capable of meeting the requirement of producing protein bars with a weight of 17.5 ounces. Therefore, the company needs to improve its manufacturing process to meet the requirements.
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Intersection find the extreme values of the function ƒ(x, y, z) = xy z2 on the circle in which the plane y - x = 0 intersects the sphere x2 y2 z2 = 4
Answers
There are no extreme values of the function ƒ(x, y, z) = xy z^2 on the given intersection.
To find the extreme values of the function ƒ(x, y, z) = xy z^2 on the given intersection, we need to find the critical points.
First, let's substitute y = x into the equation of the sphere:
x^2 (x^2) z^2 = 4
Simplifying the equation, we have:
x^4 z^2 = 4
Taking the square root of both sides, we get:
x^2 z = ±2
Now, we can substitute y = x into the equation of the function:
ƒ(x, y, z) = x(x)(z^2) = x^2 z^2
Since we have x^2 z^2 in both the function and the equation of the sphere, we can substitute x^2 z^2 = 4:
ƒ(x, y, z) = 4
The function ƒ(x, y, z) = 4 is a constant function, which means it has no critical points.
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How is the tax base of an area calculated?.
Answers
The total market value of all the assets, properties, and income in a given region or jurisdiction is what is referred to as the tax base. The tax base must be multiplied by the tax rate to determine the overall tax obligation: Tax Base x Tax Rate equals Tax Liability.
Describe the tax base?
The whole amount of income, property, assets, consumption, transactions, or other economic activity that a tax authority is allowed to tax is known as the tax base.
What is tax base formula?
Multiplying the tax base by the tax rate yields the tax obligation. The tax liability divided by the tax rate would be the result. Tax Liability/Tax Rate in the Tax Base Formula.Learn more about tax base
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3x - 7y = 13; x = -3, 0, 3
Solve the equation for y.
and solve for x.
Answers
Answer:
when x = -3; y = -22/7
when x = 0; y = -13/7
when x = 3; y = -4/7
y = 3/7x - 13/7
x = 7/3y + 13/3
Step-by-step explanation:
x = -3; 3(-3) - 7y = 13; -9 - 7y = 13; -7y = 22; y = -22/7
x = 0; 3(0) -7y = 13; -7y = 13; y = -13/7
x = 3; 3(3) -7y = 13; 9 - 7y = 13; -7y = 4; y = -4/7
SOLVE FOR Y: 3x - 7y = 13; -7y = -3x + 13; y = 3/7x - 13/7
SOLVE FOR X: 3x - 7y = 13; 3x = 7y + 13; x = 7/3y + 13/3
Select the three sums equivalent to 13/8 .
Answers
Answer:
Step-by-step explanation: 26/16, 39/24, and 52/32
In a sale, the price of a book is reduced by 25%.
The price of the book in the sale is £12
Work out the original price of the book
Answers
Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book
Answer: £16
Step-by-step explanation:
To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.
75% of x = £12
To solve for x, we can set up the equation:
0.75x = £12
To isolate x, we divide both sides of the equation by 0.75:
x = £12 / 0.75
x = £16
Therefore, the original price of the book was £16.
the measure of an angle is 166 degrees. what is the measure of of its supplementary angle?
Answers
Answer:
14°
Step-by-step explanation:
Supplementary angles add up to 180° so subtract 166 from 180.
please answer I've got 10 mins
100 POINTS FOR BRAINLIEST
Determine if the two expressions are equivalent and explain your reasoning.
3(4n) + 2 + 6n and 13n + 2
Answers
Answer:
3(4n) + 2 + 6n
12n + 2 + 6n
12n + 6n + 2
18n + 2 is not equal to 13n + 2
hence both the expression are not equivalent
Can someone help me on this
Answers
Answer:
are we dividing or is that a fraction ?
Answer:
Step-by-step explanation:
^^shoyo hinata here!!!!!!!
39/8 mixed number 4 7/8
Find the area of triangle ABC.
A. 35.92 units²
B. 43.79 units²
C. 21.39 units²
D. 22.91 units²
Answers
Answer:
\(\text{C. }21.39\:\mathrm{units^2}\)
Step-by-step explanation:
The area of a triangle with sides \(a\) and \(b\) and angle \(\gamma\) between them is given by \(A=\frac{1}{2}ab\sin \gamma\).
Therefore, in the given triangle, we want to find two sides with the angle between them given. In this case, the angle between the two sides 7.39 and 9.75 is marked as \(36.43^{\circ}\). Assign values:
\(a\implies 7.39\) \(b\implies 9.75\) \(\gamma \implies 36.43^{\circ}\)Substituting these values into our area formula, we get:
\(A=\frac{1}{2}\cdot 7.39\cdot 9.75\cdot \sin (36.43)^{\circ},\\A=21.3938371858,\\A\approx \boxed{21.39\:\mathrm{units^2}}\)
Find the slope of the line
Answers
Answer:
wait
Step-by-step explanation:
wair..................
A piece of wire 144 cm long is bent to form a semicircle as shown in the figure. Find the diameter of the semicircle, giving your answer in meters ( Take pi to be 22/7.)
Answers
Answer:
Circumference= 2πr
For a semi circle, C= 2πr/2
144= (2×22×r)÷(7×2)
144= (44r)÷(14)
cross multiply:
44r= 144×14
44r= 2016
divide both sides by 44
r= 2016÷44
r=45.8cm. But d=2r
d= 2×45.8
d=91.6cm approximately 92cm
Thus, diameter= 92cm
Someone plz help me :(
Answers
Answer:
A
Step-by-step explanation:
The absolute value of -7 is 7, which is greater than 5
Option A "The absolute value of 5 is greater than the absolute value of -7". is false
Why?It is not true because absolute value of 5 is 5 and absolute value of -7 is 7.
So, absolute value of 7 is greater.
But since it's not. Option A is the correct answer.
By Benjemin
In order for you to use the goodnees-of-fit test, the test of independence, or the test of homogeneity, the expected frequencies for each cell needs to be at least:____.
Answers
The condition for the expected value in the goodness of fit test is that the expected frequency is at least 5.
According to the statement
we have to find the condition of the expected values in the case of testing of goodness-of-fit test.
So, For this purpose we know that the
The goodness of fit test is of a statistical model describes how well it fits a set of observations. Measures of goodness of fit typically summarize the discrepancy between observed values and the values expected.
So, The main condition of the expected value for the goodness of fit test is
For each category, the expected frequency is at least 5.
Without this condition the test is not possible, so overall this the main condition related the goodness of fit test.
So, The condition for the expected value in the goodness of fit test is that the expected frequency is at least 5.
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100POINTS!!!!!!!!
Select the correct answer.
What is the domain of the function shown on the graph?
Answers
Answer:
for the answer to your question dear friend it is c
Step-by-step explanation:
i hope this helps dear friend!
how do i do this? geometry
Answers
Answer:
80?
Step-by-step explanation:
the total amount of degrees in a hexagon is 720. Divide that by 6 and you get 120. Each corner is 120. It doesnt have a right angle measure on it so it has to be lowerer then 90.