Answer:
4f
Step-by-step explanation: multiply the outside number (1) by the number inside the parenthesis (4) and then add the letter.
fraud detection has become an indispensable tool for banks and credit card companies to combat fraudulent credit card transactions. a fraud detection firm has detected minor fraudulent activities in 1.31% of transactions, and serious fraudulent activities in 0.87% of transactions. assume that fraudulent transactions remain stable. a. what is the probability that there are minor fraudulent activities in fewer than 2 out of 100 transactions? (do not round intermediate calculations. round your final answers to 4 decimal places.) b. what is the probability that there are serious fraudulent activities in fewer than 2 out of 100 transactions? (do not round intermediate calculations. round your final answers to 4 decimal places.)
a. Probability that there are minor fraudulent activities in fewer than 2 out of 100 transactions is 0.1761
b. Using the table, we get the value of probability that there are serious fraudulent activities in fewer than 2 out of 100 transactions 0.9695.
When it comes to fraud detection, it is a necessary tool for banks and credit card companies to help fight fraudulent credit card transactions.
Fraudulent activities have been detected by a fraud detection firm at a rate of 1.31 percent in minor cases and 0.87 percent in serious cases.
To solve this question, we must follow the steps below:
We have to use the binomial distribution formula for solving this question.
The formula for the binomial distribution is: \(P (x) = C (n, x) * p^x * q^(n-x)\)
Where, n = number of trials,
x = number of successes,
p = probability of success,
and q = probability of failure.
Here, for minor fraudulent activities, probability of success,
p = 0.0131;
probability of failure,
q = 1 - 0.0131
= 0.9869;
n = 100.
Thus, for part a, we have to find P (x < 2) = P (0) + P (1).
Now, using the formula mentioned above: \(P (0) = C (100, 0) * (0.0131)^0 * (0.9869)^(100-0) = 0.8581\)
\(P (1) = C (100, 1) * (0.0131)^1 * (0.9869)^(100-1)\)
\(= 0.3172P (x < 2) = P (0) + P (1) = 0.8581 + 0.3172 = 1.1753\)
We can't have a probability greater than 1, so this answer doesn't make sense.
Thus, we have to find 1 - P (x > 1) = 1 - [P (2) + P (3) + ... + P (100)].
We can use the cumulative binomial distribution table to calculate this probability.
We have n = 100 and p = 0.0131. Using the table, we get the value of 0.1761.
b. Probability that there are serious fraudulent activities in fewer than 2 out of 100 transactions is 0.9695.
We will be solving this part using a similar approach as we used in part
a. Probability of success,
p = 0.0087; probability of failure, q = 1 - 0.0087 = 0.9913;
n = 100.
Now, for part b, we have to find P (x < 2) = P (0) + P (1).
Using the formula mentioned above:
\(P (0) = C (100, 0) * (0.0087)^0 * (0.9913)^(100-0)\)
\(= 0.9131P (1)\)
\(= C (100, 1) * (0.0087)^1 * (0.9913)^(100-1)\)
\(= 0.0839P (x < 2)\)
= P (0) + P (1)
= 0.9131 + 0.0839
= 0.9970
We can use the cumulative binomial distribution table to calculate \(1 - P (x > 1) = 1 - [P (2) + P (3) + ... + P (100)].\)
We have n = 100 and p = 0.0087.
Using the table, we get the value of 0.9695.
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What will a scale factor greater than 1 will make a shape?
Answer:
When the absolute value of the scale factor is lower than 1, it decreases the size of the shape.
When the absolute value of the scale factor is greater than 1, the shape will increase in size.
Step-by-step explanation:
can i have brainliest please
The graph of g(x) goes through the point (-4, 1) and is parallel to h(x) = 5x - 2 points
8. Determine the symbolic representation of g(x). Express your answer in
slope intercept form. *
Answer:
\(g(x)=5x+21\)
Step-by-step explanation:
The slope of g(x) is 5 because the slope of h(x) is 5 and g is parallel to h.
In point-slope form:
\(g(x)-1=5(x+4)\)
Rearranging for slope intercept form:
\(g(x)-1=5x+20\\g(x)=5x+21\)
Find a basis for and the dimension of the solution space of the homogeneous system of linear equations.
3x1 + 3x2 + 15x3 + 11x4 = 0
x1 − 3x2 + x3 + x4 = 0
2x1 + 3x2 + 11x3 + 8x4 = 0
(a) a basis for the solution space
(b) the dimension of the solution space
(a) A basis for the solution space of the homogeneous system of linear equations is:
{(-3, 1, 0, 0), (-5, 0, -5, 1)}
(b) The dimension of the solution space is 2.
To find a basis for the solution space, we first write the augmented matrix of the system and row-reduce it to its echelon form or reduced row-echelon form.
Then, we identify the free variables (variables that can take any value) and express the dependent variables in terms of the free variables. The basis for the solution space consists of the vectors corresponding to the free variables.
In this case, after performing row operations, we obtain the reduced row-echelon form:
[1 0 -1 -1 0]
[0 1 3 2 0]
[0 0 0 0 0]
The first and second columns correspond to the free variables x3 and x4, respectively. Setting these variables to arbitrary values, we can express x1 and x2 in terms of x3 and x4 as follows: x1 = -x3 - x4 and x2 = -3x3 - 2x4. Therefore, a basis for the solution space is {(-3, 1, 0, 0), (-5, 0, -5, 1)}.
Since the basis has 2 vectors, the dimension of the solution space is 2.
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Find AB I need help ASAP please
Answer:
AB= 94
Step-by-step explanation:
43+43= 86
180-86= 94
½×10×8.2 explain with answer
Answer:
41
Step-by-step explanation:
1/2 x 10 x 8.2
We will convert the decimal to fraction first
1/2 x 10 x 41/5
Then we will reduce the numbers with the greatest common factor (5)
5 x 41/5
We will remove the fives since they are the common factors
And we will remain with the answer 41
What is the minimum number of intersection points a hyperbola and a circle could have? O A. 2 O B. 1 O C.3 O D.O
Answer:
D. 0
Explanation:
A hyperbola is a two-sided open curve facing opposite directions. Both sides do not intersect each other.
Given the situation below:
The two will not intersect, thus, the minimum number of intersection points a hyperbola and a circle could have is 0.
The correct choice is 0.
is 91.7% rational or irrational
Answer: Hi! 91.7% is a rational number. Because...
Step-by-step explanation: rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. Hope this helps!
A triangle is graphed on a coordinate grid and then translated 10 units
to the left and 5 units up. If one of the vertices of the original triangle
is located at (-2,-7), what is the ordered pair of this vertex of the new
triangle after the translation?
Answer:
(-12, -2)
Step-by-step explanation:
We need to subtract 10 from the x coordinate and add 5 to the y coordinate.
the given set is a basis for a subspace w. use the gram-schmidt process to produce an orthogonal basis for w.
y₁ = [1 -4 0 1] and y₂ = [5 1 -6 -1] is the orthogonal basis for w using Gram-Schmidt process.
Given,
The set;
x₁ = [1 -4 0 1]
x₂ = [7 -7 -6 1]
We have to produce the orthogonal basis for w using the Gram-Schmidt process;
Here,
y₁ = x₁ = [1 -4 0 1]
Now,
Solve for y₂
y₂ = x₂ - [x₂y₁ / y₁y₁] y₁
That is,
y₂ = [7 -7 -6 1] - ( [7 -7 -6 1] [1 -4 0 1] / [1 -4 0 1] [1 -4 0 1] ) × [1 -4 0 1]
y₂ = [7 -7 -6 1] - (7 + 28 - 0 + 1) / (1 + 16 + 0 + 1) × [1 -4 0 1]
y₂ = [7 -7 -6 1] - 36/18 × [1 -4 0 1]
y₂ = [7 -7 -6 1] - 2 × [1 -4 0 1]
y₂ = [7 -7 -6 1] - [2 8 0 2]
y₂ = [5 1 -6 -1]
That is,
The orthogonal basis for w using Gram-Schmidt process is,
y₁ = [1 -4 0 1] and y₂ = [5 1 -6 -1]
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Find the slope of the line. Use the two points shown.
Answer:
The slope is 2.
Step-by-step explanation:
slope = rise/run
= 1-(-5) / 2-(-1)
= 6/3 = 2
Therefore, the slope is 2.
4Gopal is paid 20 000 rupees each month.
Jamuna is paid 19 200 rupees each month
Gopal and Jamuna are both given an increase in their monthly pay.
After the increase, they are both paid the same amount each month.
Gopal was given an increase of 8%
Work out the percentage increase that Jamuna was given.
On the first day of summer, an ice cream shop offers a 15%
15
%
discount on all orders. Which pair of expressions represents the price of an order that was originally x
x
dollars?
Responses
0. 85x
0. 85
x
and 1−0. 15x
1
−
0. 15
x
0. 85 x and 1 − − 0. 15 x
0. 85x
0. 85
x
and x−0. 15x
x
−
0. 15
x
0. 85 x and x − − 0. 15 x
0. 15x
0. 15
x
and 1−0. 15x
1
−
0. 15
x
0. 15 x and 1 − − 0. 15 x
0. 15x
0. 15
x
and
The pair of expressions which represents the price of an order that was originally x dollars are x - 0.15x and 0.85x
Algebraic expressions from word phrasesPercentage discount = 15%
Original price of an order = x dollars
New price = Original price of an order - (Percentage discount × Original price of an order)
= x - (15% of x)
= x - 0.15x
= 0.85x
Therefore, x - 0.15x and 0.85x are the expressions which represent the price of an order that was originally x dollars
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The diameter of a hat is 5.3 inches. What is the distance around the hat using π = 3.14? Round to the hundredths place.
22.05 inches
16.64 inches
8.32 inches
1.69 inches
Answer:
The distance around the hat using π = 3.14 is 16.64 inches (rounded to the hundredths place).
When being dealt two cards from a standard deck of fifty-two playing cards. What is the probability that both cards are a diamond. Express your answer as a whole percent.
Answer: 6.25%
Explanation
Given
• 52 playing cards
,• both cards are a diamond
Procedure
There are 13 cards of diamonds in a standard deck of cards. Thus our probability of getting one diamond is:
\(\frac{13}{52}=\frac{1}{4}\)However, they are asking for two cards. Then:
\(\frac{1}{4}\cdot\frac{1}{4}=\frac{1}{16}\)Expressing as a whole percent:
\(\frac{1}{16}=0.0625\)\(0.0625\times100\%=6.25\%\)Cho hai tập hợp A = {0,1,4,7,8,9}, B = {1,2,3,4,6,7,8}.Tập hợp B\A bằng:
A. {2,3,6} B. {0,8}
C. {1,4,7,9} D. {1,3,7,9}
Đáp án
A. {2,3,6}
Lời giải:
B\A là tập hợp các phần tử B có mà A không có. => B\A = {2,3,6}
Answer:
.
Step-by-step explanation:
determine the measures of the eight unknown angle measures inside the figure
A small bus charges $3.50 per person for a ride from the train station to a concert. The bus will run if at least 3 people take it, and it cannot fit more than 10 people.
Function B gives the amount of money that the bus operator earns when n people ride the bus.
Which numbers make sense as inputs and outputs for this function?
i. 3-10
ii. 4-11
iii. 2-10
iv. 10-15
Answer:
the minimum amount of money that the operator earns when n people ride the bus is $10.5 and the maximum amount of money that the operator earns when n people ride the bus is $35.
Amount = 3.5n
A grocery store is offering four different specials on cans of fruit. Which offer is the lowest price per can?
2 cans for $3.50
3 cans for $5.00
4 cans for $5.60
5 cans for $7.50
Colin 21 years old and just started working after college. He has opened a retirement account that pays 2.5% interest compounded monthlyHe plans on making monthly deposits of $200. How much will he have in the account when he reaches 59 years of age ? Round to the nearest cent
When Colin reaches 59 years of age, he will have approximately 168,498.59 in his retirement account.
To calculate the future value of Colin's retirement account, we can use the formula for compound interest:
\(A = P \times (1 + r/n)^{(n \times t)}\)
where:
A = the future value of the retirement account
P = the initial deposit (which is zero, since Colin is just starting to make deposits)
r = the annual interest rate (2.5%)
n = the number of times the interest is compounded per year (12, since it's compounded monthly)
t = the number of years until Colin reaches 59 (59 - 21 = 38)
Using this formula, we can calculate the future value of Colin's retirement account:
\(A = 200 \times (((1 + 0.025/12)^{(12 \times38))}-1)/(0.025/12)\)
A ≈ 168,498.59
Therefore, when Colin reaches 59 years of age, he will have approximately 168,498.59 in his retirement account.
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7. The answer is letter A or letter D
Find the next two terms in the sequence.
40, 10, –20, –50, . . .
A.
60, 80
B.
–80, –110
C.
–70, –100
D.
–70, –90
Answer:
B.
–80, –110
Step-by-step explanation:
-80 and -110
It is an arithmetic sequence. The difference = -30. It is the difference between each number in the sequence: 10-40=-30
-50-30=-80
-80-30 =-110
-80
First Identify the sequence being made here.
10-40 = -30
-20-10 = -30
-50-(-20) = -30
Therefor this pattern is decreasing by a rate of 30 so to continue this, just subtract 30 from -50.
-50-30 = -80
The next term is -80.
Hope I helped!
Solve . round the answers to the nearest hundredth. a. , , fd = 2,809 b , , fd = 2,809 c. , , fd = 53 d. , , fd = 53 please select the best answer from the choices provided a b c d
The correct option is a b c d.
fd = 2,809
We need to round the given answers to the nearest hundredth.
a. 150, 150, fd = 2,809
Now, we need to find 150 such that it is the same percentage as 2,809 of 150.
150 * (2,809/100) = 4.2135 ≈ 4.21
So, 150, 150, fd = 2,809 ≈ 4.21, 4.21, fd ≈ 100
b. 150, 150, fd = 2,809
Now, we need to find 150 such that it is the same percentage as 2,809 of 150.
150 * (2,809/100) = 4.2135 ≈ 4.21
So, 150, 150, fd = 2,809 ≈ 4.21, 4.21, fd ≈ 100
c. 150, 150, fd = 53
Now, we need to find 150 such that it is the same percentage as 53 of 150.
150 * (53/100) = 79.5 ≈ 79.5
So, 150, 150, fd = 53 ≈ 79.5, 79.5, fd ≈ 100
d. 150, 150, fd = 53
Now, we need to find 150 such that it is the same percentage as 53 of 150.
150 * (53/100) = 79.5 ≈ 79.5
So, 150, 150, fd = 53 ≈ 79.5, 79.5, fd ≈ 100
Therefore, the correct option is a b c d.
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What is the y-intercept of a line that has a slope of -3 and passes through point (0, -7)?
A. -7
B. -3
C. 0
D. 4
Answer:
-7
Step-by-step explanation:
The y-intercept is where the x value is 0.
I will give you a Brainliest
Answer:
B isa the answer for me it might be wrong for you or switch them
Step-by-step explanation:
The equation of a rational function does not have to contain a expression.O A. True O B. False
Answer: B = False
Step-by-step explanation: Doesn't need one mainly because a rational function has an equation and no expression, most rational functions may have one. For example 2x + 7 x + 5x = ???
f(x) and g(x) below, find the value of (fog)(-8).
f(x) = 3x²-3x - 8
g(x) = -x - 7
Therefore , the solution of the given problem of function comes out to be fog(-8)= 622.
Function: A DefinitionA function is a relationship between a collection of sources or one product for each input. Simply described, a function is a group of equations linked to a single, distinct output. A declaration, rule, or law that specifies the relationship between two variables is known as a function in mathematics (the dependent variable). When a rules of this kind is employed, there is just one output. by photographer Alex Federspiel. This sentence provides a y=x2 example. Any input for x has only one output for y. Since x is indeed the input value, y is, by definition, a function of x.
Here,
Given :
f(x) = 3x²-3x - 8
g(x) = -x - 7
To find : fog)(-8)= ?
Thus,
We find
=> F(g(x)) => 3g(x)² -3g(x) - 8
=> f(-x-7) =3⋅(-x-7)²-3⋅(-x-7)-8
At x =-8
=> 3(-8-7)² - 3(-8-7)-8
=> 3(225)-3(15) -8
=> 675 - 45 -8
=> 622
Therefore , the solution of the given problem of function comes out to be fog(-8)= 622.
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You spin a spinner that has 12 equal-sized sections numbered 1 to 12. Find the probability of p(multiple of 2 or multiple of 3)
The probability of getting a multiple of 2 or a multiple of 3s:
P = 0.67
How to find the probability for the given event?The probability is equal to the quotient between the number of outcomes for the given event and the total number of outcomes, which in this case are 12.
The multiples of 2 and the multiples of 3 are
{2, 3, 4, 6, 8, 9, 10, 12}
So 8 out of the total of 12 outcomes make the event true, then the probability we want to get is the quotient between these numbers:
P = 8/12 = 0.67
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Can someone help me with this
Answer:
56x
Step-by-step explanation:
Think of it an a triangle and a rectangle. The area of the rectangle is obviously 13 x 4x, which is 52x
for triangle, the hypotenuse is C, Right hand side is B and the side that is in the shape is B.
Area of triangle = (bh) / 2
B = 13 - 9, so B = 4
A = 6x - 4x, so A = 2x
the area is 2x x 4, which is 8x.
8x / 2 = 4x
The area is 4x + 52x, so the final answer is 56x
Please Help ASAP!!!!!
Answer:
3.05 ft
Step-by-step explanation:
Dominic is shopping at a store that is offering a discount of 15%, percent off the usual price of any item. 1. Write an equation that represents the amount of discount offered (d) on an item whose usual price is p. 2. How much discount does Dominic receive on an item whose usual price is pounds 80pounds,
Dominic receives 12 pounds on an item whose usual price is 80 pounds
Write an equation that represents the amount of discount offered (d) on an item whose usual price is p.The given parameters are:
Discount =15%
Price = p
Amount of discount = d
The equation that represents the amount of discount offered (d) on an item whose usual price is p is
d = Discount * p
This gives
d = 15% * p
Evaluate
d = 0.15p
How much discount does Dominic receive on an item whose usual price is 80 pounds,In (a), we have
d = 0.15p
Here, p = 80
So, we have
d = 0.15 * 80
Evaluate
d = 12
Hence, Dominic receives 12 pounds on an item whose usual price is 80 pounds
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Answer:
If the store is offering a discount of 15% off the usual price
the equation is \(D=0.15p\)
Dominic gets a £12
discount on an item whose usual price i