Past records indicate that the probability of online retail orders that furn out to be fraudulent is 0.1. Suppose that, on a given day, 7 online retail orders are placed. Assume that the number of online retail orders that turn out to be fraudulent is distributed as a binomial random variable a. What is the probability that less than two online retail orders will turn out to be fraudulent? Write down the formula and solve
Answers
The probability that less than two online retail orders will turn out to be fraudulent orders is 84.53%.
To find the probability that less than two online retail orders will turn out to be fraudulent, we can use the binomial probability formula:
P(X=k) = C(n, k) * p^k * (1-p)^(n-k)
where P(X=k) is the probability of k fraudulent orders, n is the total number of orders (7 in this case), k is the number of fraudulent orders we are interested in (0 or 1), p is the probability of an order being fraudulent (0.1), and C(n, k) is the number of combinations of n items taken k at a time.
We want the probability of either 0 or 1 fraudulent orders, so we'll calculate both probabilities and sum them:
P(X=0) = C(7, 0) * (0.1)^0 * (1-0.1)^(7-0)
P(X=1) = C(7, 1) * (0.1)^1 * (1-0.1)^(7-1)
First, let's find the combinations:
C(7, 0) = 1
C(7, 1) = 7
Now, let's calculate the probabilities:
P(X=0) = 1 * (1) * (0.9)^7 ≈ 0.4783
P(X=1) = 7 * (0.1) * (0.9)^6 ≈ 0.3670
Finally, let's sum these probabilities:
P(X<2) = P(X=0) + P(X=1) ≈ 0.4783 + 0.3670 ≈ 0.8453
So the probability that less than two online retail orders will turn out to be fraudulent is approximately 0.8453, or 84.53%.
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Related Questions
The probability of correctly rejecting the null hypothesis when the null hypothesis is false is the _____.
Answers
The probability of correctly rejecting the null hypothesis when the null hypothesis is false is the power
How to complete statement?From the question, we have the following highlights
Null hypothesis is falseNull hypothesis is correctly rejectedThe statement that represents the probability of the above highlights is power
Hence, the statement that completes the blank is power
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Can someone help me please
Answers
Answer:
C) ∠R
Step-by-step explanation:
they both have two marks, meaning they are congruent
Answer: es la d
la respuesta es la d ya que son congruentes entre si y miden lo mismo
PLEASE NO LINKS AND NO NEGATIVITY
Answers
Explanation: The order of operations is distributive property so think of it as
(1/2 • 8) - (1/2 • 4g) Also just think of dodging 8 and 4 by two since 1/2 in a number format is .5 and 8 mutuales by .5 is 4 and 4 is 2.
Hope this helps!
Tracy's team won 75% of their games last year. They played 12 games. How many games did they win?
Answers
Answer:
9 games.
Step-by-step explanation:
You need to find 75% of 12. 75% is equal to three fourths. 12 divided by 4 is 3, so one fourth of 12 is 3. 3 times 3 is 9, so three fourths (75%) of 12 is 9.
Given that ZQRP = (2x + 20) and ZPSQ = 30°, find the value of x.
Answers
The value of x is 65. Please note that this solution is based on the assumption that the angles QRP and PSQ are supplementary. If this assumption doesn't hold, feel free to let me know.
We need to find the value of x in the equation ZQRP = (2x + 20)° given that ZPSQ = 30°. Since the question doesn't provide enough information about the relationship between angles QRP and PSQ, I'll assume that they are supplementary angles (angles that add up to 180°). This assumption is based on the possibility that the angles form a straight line or a linear pair.
If angles QRP and PSQ are supplementary, their sum is 180°:
(2x + 20)° + 30° = 180°
Now, we can solve for x:
2x + 50 = 180
Subtract 50 from both sides:
2x = 130
Divide by 2:
x = 65
I don’t understand could anyone help me solve? And maybe an explanation?
Answers
Your answer would be B
(Please give me brainliest
The marching band needs to create rows for its performance. There are 30 instruments and 18 flag bearers. Only one type of performer can be in each row. What is the maximum number of performers in each row so that all the rows are equal in length?
Answers
As per the HCF concept, the maximum number of performers in each row so that all the rows are equal in length is 6.
HCF:
The highest common factor (HCF) of two numbers is the largest number that divides both numbers perfectly. It is also known as Greatest Common Divisor (GCD).
Given,
The marching band needs to create rows for its performance. There are 30 instruments and 18 flag bearers. Only one type of performer can be in each row.
Here we need to find the the maximum number of performers in each row so that all the rows are equal in length.
Here we simply put, the HCF (Highest Common Factor) of two natural numbers x and y is the largest number that divides both x and y.
Here we have given that there are 30 instruments and 18 flag bearers.
Now, we need to find the prime factorization of 30,
That is,
30 = 2 x 3 x5
Similarly, the prime factorization of 18 is
18 = 2 x 3 x 3
Therefore, the prime factorization of 30 and 18 have 2 and 3 as common prime number so HCF of 30 and 18 will be
=> 2 x 3 = 6.
Therefore, 6 is the maximum number of performers in each row so that all the rows are equal in length.
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Answer:
As per the HCF concept, the maximum number of performers in each row so that all the rows are equal in length is 6.
HCF:
The highest common factor (HCF) of two numbers is the largest number that divides both numbers perfectly. It is also known as Greatest Common Divisor (GCD).
Given,
The marching band needs to create rows for its performance. There are 30 instruments and 18 flag bearers. Only one type of performer can be in each row.
Here we need to find the the maximum number of performers in each row so that all the rows are equal in length.
Here we simply put, the HCF (Highest Common Factor) of two natural numbers x and y is the largest number that divides both x and y.
Here we have given that there are 30 instruments and 18 flag bearers.
Now, we need to find the prime factorization of 30,
That is,
30 = 2 x 3 x5
Similarly, the prime factorization of 18 is
18 = 2 x 3 x 3
Therefore, the prime factorization of 30 and 18 have 2 and 3 as common prime number so HCF of 30 and 18 will be
=> 2 x 3 = 6.
Therefore, 6 is the maximum number of performers in each row so that all the rows are equal in length.
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Step-by-step explanation:
i need answers ASAP Chau wants to earn more than $62 trimming trees. He charges $6 per hour and pays $4 in equipment fees. What are the possible numbers of hours Chau could trim trees?
Answers
Answer:
he could work 11 hours
Step-by-step explanation:
if he worked 11 hours he would have earned 66 dollars and had to to take out 4 dollars for an equipment fee therefore leaving him with 62 dollars.
Can someone please answer this?
Answers
Answer:
x=-1
Step-by-step explanation:
-4x=y+8
-8-4x=y
7x-2y=1
7x-2(-8-4x)=1
7x+16+8x=1
15×+16=1
15x=-15
x=-1
which point is farther from the origin, (,1,2,-2) or (0,0,5)?
Answers
Answer:
\( \sqrt{ {1}^{2} + {2}^{2} + {( - 2)}^{2} } = \sqrt{1 + 4 + 4} = \sqrt{9} = 3\)
(1, 2, -2) is 3 units away from the origin.
(0, 0, 5) is 5 units away from the origin.
So (0, 0, 5) is farther away from the origin.
It costs $2.80 to make a sandwich at the local deli shop. To make a profit, the deli sells it at a price that is 170% of the cost. The sandwich sells for $___. (Make sure to enter the answer as a decimal number only. Do not enter special characters such as the dollar symbol.)
Answers
Answer:
$4.76
Step-by-step explanation:
It costs $2.80 to make a sandwich at the local deli shop and the deli sells it at a price that is 170% of the cost.
We have to find 170% of the cost of making each sandwich ($2.80):
170/100 * 2.80 = $4.76
The sandwich sells for $4.76
Answer:
ben
Step-by-step explanation:
Find the value of ( x-y )^2 when x = 9 and y = -8
Answers
Answer:
17^2 or 289
Step-by-step explanation:
Helppppppp 50 points!!!!!!!!!!!!!
which angle has its terminal side on the positive y-axis?
2pi radians
pi radians
pi/2 radians
3 pi/2 radians
Answers
Answer:
\(\sf \dfrac{\pi}{2}\)
Step-by-step explanation:
Angles are measured in a counterclockwise direction from the positive x-axis (initial side).
Therefore, if an angle's terminal side is on the positive y-axis, the angle will be 90° or \(\sf \dfrac{\pi}{2}\) radians.
See attached diagram for visual explanation.
If the angle was \(\pi\) then the terminal side would be on the negative x-axis.
If the angle was \(\dfrac32\pi\) then the terminal side would be on the negative y-axis.
If the angle was \(2\pi\) then the terminal side would be on the positive x-axis and the angle would be one complete revolution of the circle.
PLEASE ASAP HELP MEEEEThe longer leg of a right triangle is 3 inches longer than the shorter leg. The hypotenuse is 6 inches longer than the shorter leg. Find the side lengths of thetriangle.Length of the shorter leg:inchesLength of the longer leg:inchesinchesLength of the hypotenuse:
Answers
In order to find the values of the sides of the triangle you take into account the relation between sides and hypotenuse.
h: hypotenuse
c1: shorter leg
c2: longer leg
Longer leg c2 is 3 inches longer than c1:
c2 = c1 + 3
hypotenuse h is 6 inches longer than c1:
h = c1 + 6
The formula for the calculation of the hypotenuse is:
h² = c1² + c2²
you replace for h and c2 in terms of c1:
(c1 + 6)² = c1² + (c1 + 3)²
You solve the previous equation for c1:
c1² + 12c1 + 36 = c1² + c1² + 6c1 + 9
c1² - 6c1 - 27 = 0
the roots of the previous equation are:
(c1 - 9 )(c1 + 3) = 0
c1 = 9
c1 = -3
You take the positive number because there is no length of sides with negative values.
Then, c2 and h are:
c2 = c1 + 3 = 9 + 3 = 12
h = c1 + 6 = 9 + 6 = 15
Hence, shorter leg is 9 inches, longer leg 12 inches and hypotenuse 15 inches
What is the following product
Answers
Answer:
6 (square root )432 (option 3)
Step-by-step explanation:
Answer:
Step-by-step explanation:
⁶√(432)
Jane contribuyó con $ 10,000 y Julie contribuyó con $ 6,000. Después de un año, la empresa obtuvo una ganancia de $ 4,000. ¿Qué proporción de las ganancias debería tomar Julie si se comparten en la misma proporción que sus contribuciones originales?
Answers
Answer:
Ganancias Julie= $1,500
Step-by-step explanation:
Dada la sigueinte información:
Jane contribuyó con $ 10,000 y Julie contribuyó con $ 6,000. Después de un año, la empresa obtuvo una ganancia de $ 4,000.
Primero, debemos calcular la proporción de aportes de cada una:
Jane= 10,000/16,000= 0.625
Julie= 6,000/16,000= 0.375
Ahora, lo que le corresponde a Julie de las ganancias:
Ganancias= 4,000*0.0375
Ganancias Julie= $1,500
Select all expressions that are equivalent to -4(x + 2) - 2x + 4.
A. -6x - 4
B. -4x + 2 - 2x + 4
C. -10x
D. -4x + -8 - 2x + 4
E. -4x - 2x - 8 + 4
Answers
Answer:
=>A. -6x - 4
Step-by-step explanation:
=>-4(x + 2) - 2x + 4
=> -4x-8-2x+4
=> -6x-4
the area of the floor in a square room is $225$ square feet. the homeowners plan to cover the floor with rows of $6$-inch by $6$-inch tiles. how many tiles will be in each row?
Answers
Answer: There will be 30 tiles in each row.
Step-by-step explanation:
To find the number of tiles in each row, we need to determine the room's dimensions and the size of each tile. Given that the area of the square room is 225 square feet, we know that the room is a perfect square. Let's denote the length of one side of the square as "x" feet.
We can calculate the length of one side of the square by taking the square root of the area:
x = √225 = 15 feet
Since each tile is 6 inches by 6 inches, we need to convert the measurements to feet: 6 inches = 6/12 = 0.5 feet
To determine the number of tiles in each row, we divide the length of the side of the room by the length of each tile:
Number of tiles in each row = (Side length of the room) / (Length of each tile)
Number of tiles in each row = 15 feet / 0.5 feet = 30 tiles
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if an arithmetic sequence has a 10th term of 17 and a 14th term of 30. find the common difference.
Answers
Answer:
\(\bold{d=\dfrac{13}4=3\dfrac14}\)
Step-by-step explanation:
\(a_{10}\,,\ _{\{+d\}}\ \ a_{11}\,,\ _{\{+d\}}\ \ a_{12}\,,\ _{\{+d\}}\ \ a_{13}\,,\ _{\{+d\}}\ \ a_{14}\quad\implies\quad\ a_{14}-a_{10}=4d\\\\4d=a_{14}-a_{10}\\\\4d=30-17\\\\4d=13\\{}\ ^{\div4\quad\div4}\\d=\dfrac{13}4=3\dfrac14\)
a. It is impossible for LCLX in an Xbar chart to be > an Upper Specification Limit. T_ F b. Statistical Tolerancing offers lower FTY over Worst Case Tolerancing. T /F
c. In Worst Case analysis, the probability of interference is > 0%. T F d. For sample sizes >> 30, o may be considered -s in SPC. T/F
e. For Cpk> 2, C charts are preferred for Statistical Process Control. T_ F f. If Cpk < 0, the process mean is still within the specification limits. T /f
g. Reducing assembly parts counts through DFM reduces OFD's. T/F
h. Defects are additive in a multi-step manufacturing process. T /F
i. FTY=1-DPU is valid for DPU's >0.5. T /F
j. Reducing the o of a process always increases the Cpk. T/F
Answers
Cpk measures the relationship between the process variability and the specification limits. If the process mean is not centered within the specification limits, reducing the standard deviation alone may not improve the Cpk.
a. False. It is possible for the Lower Control Limit (LCL) in an Xbar chart to be greater than the Upper Specification Limit (USL). The control limits in statistical process control (SPC) are based on the process variability, while specification limits are determined by customer requirements. If the process is in control but does not meet the customer's specifications, it is possible for the LCL to be greater than the USL.
b. False. Statistical Tolerancing generally offers higher First Time Yield (FTY) compared to Worst Case Tolerancing. Statistical Tolerancing takes into account the statistical distribution of the process and allows for better utilization of the allowable tolerance range, resulting in higher FTY. Worst Case Tolerancing, on the other hand, assumes extreme values for all variables, leading to lower FTY.
c. False. In Worst Case analysis, the probability of interference can be zero or non-zero, depending on the specific scenario. It is possible to have cases where the tolerances do not overlap and there is no interference, resulting in a probability of interference of 0%.
d. True. For sample sizes that are significantly larger than 30, the standard deviation (o) of the process can be approximated by the sample standard deviation (s) in Statistical Process Control (SPC). This approximation holds under the assumption of a normal distribution and large sample sizes where the Central Limit Theorem applies.
e. False. C charts are control charts used for monitoring the count or number of defects per unit. Cpk, on the other hand, is a capability index that measures the process capability to meet specifications. C charts and Cpk serve different purposes in Statistical Process Control (SPC) and are not directly comparable.
f. False. If Cpk < 0, it indicates that the process is not capable of meeting the specification limits. In this case, the process mean is not within the specification limits.
g. True. Design for Manufacturability (DFM) aims to reduce the number of assembly parts, which can help reduce opportunities for defects or occurrences of failure modes. By simplifying the design and reducing the number of parts, the overall Failure Detections (OFDs) can be reduced.
h. True. Defects in a multi-step manufacturing process are generally additive. Each step in the process has its own probability of generating defects, and as the product moves through the various steps, the defects can accumulate.
i. False. FTY (First Time Yield) is calculated as 1 minus DPU (Defects Per Unit). It is valid for DPU values ranging from 0 to 1. DPU values greater than 0.5 indicate a high defect rate, but the formula FTY = 1 - DPU is still applicable.
j. False. Reducing the standard deviation (o) of a process does not always increase the Cpk (Process Capability Index). Cpk measures the relationship between the process variability and the specification limits. If the process mean is not centered within the specification limits, reducing the standard deviation alone may not improve the Cpk. The process mean also needs to be adjusted to ensure that it falls within the specification limits to increase the Cpk value.
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If f(x) = x2 – 2x, find:
f(-3) = [?]
Answers
Answer:
\( \boxed{\sf f(-3) = 9} \)
Given:
\( \sf f(x) = {x}^{2} - 2x\)
To Find:
Value of f(x) when x = -3
Step-by-step explanation:
\( \sf \implies f(x) = {x}^{2} - 2x \\ \\ \sf \implies f( - 3) = {( - 3)}^{2} - 2 ( - 3) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 - ( - 6) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3 + 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =9\)
kamau toured switerland from germany. in switzerland he bought his wife a present worth 72deutsche marks.find the value of present in .k
[a] swiss francs
[b] ksh correct to the nearest sh, if
1 swiss franc =1.25 deutsche marks.
1 swiss franc=48.2 ksh
Answers
The value of the present in Kenyan shillings is approximately 2773.12 ksh.
We can convert the value 72 Deutsche marks into Swiss francs as follows:
72 Deutsche marks × (1 Swiss franc / 1.25 Deutsche marks)
= 57.6 Swiss francs
Then, we can convert Swiss francs into Kenyan shillings as follows:
57.6 Swiss francs × (48.2 ksh / 1 Swiss franc)
= 2773.12 ksh
Therefore, the value of the present in Kenyan shillings is approximately 2773.12 ksh
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Which of the following is an equation to the tangent line to the graph of (fx) = -2x+4 at 1
A) y= -2(x-1) + 2
B) y= 2(x-1) + 2
C) y= -2(x+1) + 2
D) y= 2(x-1) - 2
Please show how to find this as I really want to learn!
Answers
Answer:
nuts
Step-by-step explanation:
Student's t test for correlated groups really reduces to _________.
a.
the sign test
b.
Student's t test for single samples using difference scores
c.
Students t test for independent groups
d.
none of the above
Answers
Answer:
Step-by-step explanation:
Student's t test for correlated groups reduces to Student's t test for single samples using difference scores. Therefore, the correct answer is (b).
In a t test for correlated groups (also known as paired-samples or dependent-samples t test), the same group of participants is measured twice, under two different conditions or at two different times. The difference between the two measurements for each participant is calculated and used as the sample data. The t test for correlated groups compares the mean difference score to zero to determine if there is a significant difference between the two conditions or times.
This can be seen as equivalent to a t test for single samples using difference scores, where the mean difference score is compared to a known or hypothesized value of the population mean difference. In fact, the formula for calculating the t statistic is the same in both cases.
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how many answers do i need to get correct if i want a grade of 80 percent on a test with 70 questions? 56 40 65 33
Answers
Answer:
(a) 56
Step-by-step explanation:
You want the number that is 80% of 70.
PercentIn this context, "of" means "times." Thus "80% of 70" is "80% times 70".
Some calculators have a % key that lets you calculate this directly. Otherwise you may need to convert the percentage to a fraction.
The % symbol is effectively interchangeable with "/100", so we have ...
80% of 70 = 80/100 × 70
At this point, you can employ what you know about multiplication and division to simplify this to a problem you can do in your head.
= (80×70)/100 = (8×7×100)/100 = 8×7 = 56
If you want a grade of 80%, you need to get 56 questions correct.
What is the value of the expression 10 − ( fraction 1 over 2 )4 ⋅ 48? (1 point)
Answers
Answer:
Just want to ask if it is 10 - 1/2 × 4 × 48 right? If the expression is this then the answer is -86.
Hope this helps, thank :) !!
explain and demonstrate how to write the decimal 7.3 as a percent
Answers
Answer:
Step-by-step explanation:
To turn a decimal into a percent, move the decimal point over 2 spaces.
7.3 = 0.073%
How many elementary events are in the sample space of the experiment of rolling three fair coins? O2 09 O 8 6
Answers
hey do you guys know the answer to this?
Answers
Answer: (6.5)
X-axis reflection formula: (x,y)->(x,-y)
meaning that (6,-5) moves to (6,5)
solve : 2⁴
I need to show work
Answers
Answer:
16
Step-by-step explanation:
2 to the power 4
2 × 2 × 2 × 2 = 4 × 2 × 2 = 8 × 2 = 16
2⁴=16
2•2=4
4•2=8
8•2=16
hope i helped. (: