Past records indicate that 10% of online retail orders are fraudulent. Suppose 20 online orders are placed. What is the probability that none are fraudulent
Answers
Answer:
\(Probability = 0.1216\)
Step-by-step explanation:
Given
\(n = 20\)
Represent fraudulent with p
\(p = 10\%\)
\(p = 0.10\)
Required
Determine the probability that none are fraudulent
First, we need to determine the proportion of those that are not fraudulent.
Represent this with q
\(p + q= 1\)
\(10\% + q = 1\)
\(q = 1 - 10\%\)
\(q = 90\%\)
\(q = 0.9\)
The required probability is binomial and can be determine using the following:
\((p + q)^n = ^nC_xp^xq^{n - x}; x = 0,1,2...n\)
In this case x = 0 (none);
So, the required probability is:
\(Probability = ^nC_0p^0q^{n - 0}\)
Substitute values for n, p and q
\(Probability = ^{20}C_0 * 0.1^0 * 0.9^{20 - 0}\)
\(Probability = ^{20}C_0 * 0.1^0 * 0.9^{20}\)
\(Probability = ^{20}C_0 * 1* 0.9^{20}\)
\(Probability = \frac{20!}{(20 - 0)!20!} * 1* 0.9^{20}\)
\(Probability = 1 * 1* 0.9^{20}\)
\(Probability = 0.9^{20}\)
\(Probability = 0.12157665459\)
\(Probability = 0.1216\) Approximated
Related Questions
Name three collinear points.
Answers
Answer:
D, G and F or I, G and J------------------------
Collinear points are the points on the same line.
There are two lines in the diagram.
The collinear points:
D, G and F on one lineI, G and J on the second lineThe points that are collinear are D,G and E and another set of points which are collinear are L,G and J.
The points which lie on the same straight line are known as collinear points.
Similarly, if three or more number of points are collinear then they form a straight line.
If we observe the figure, the points D,G and E are collinear points as they are on same line.
Similarly the points L, G and H are in the straight line which makes them collinear.
Therefore , the points L,G and J are collinear points.
Hence, the points that are collinear are D,G and E and another set of points which are collinear are L,G and J
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A wire is 71cm long . you wish to cut it into two pieces. One piece is bent into shape of triangle with legs of equal length .The piece is to be bent into shape of circle .
Answers
To solve this problem, we need to find the lengths of the two pieces when the wire is cut into two parts. Let's denote the length of each leg of the triangle as\(\(x\).\)
The perimeter of the triangle is the sum of the lengths of its three sides. Since the two legs are equal in length, the perimeter can be expressed as \(\(2x + x = 3x\).\)
The length of the wire is given as 71 cm, so we have the equation \(\(3x = 71\).\)
Solving for\(\(x\),\) we divide both sides of the equation by 3:
\(\(x = \frac{71}{3}\).\)
Now that we know the length of each leg of the triangle, we can proceed to the next part of the problem.
The circumference of a circle is given by the formula \(\(C = 2\pi r\)\), where\(\(C\)\)is the circumference and r is the radius. In this case, the wire of length xis bent into the shape of a circle, so we can set the circumference equal to x and solve for the radius r:
\(\(x = 2\pi r\).\)
Substituting the value of x we found earlier, we have:
\(\(\frac{71}{3} = 2\pi r\).\)
Solving for r, we divide both sides of the equation by \(\(2\pi\):\)
\(\(r = \frac{71}{6\pi}\).\)
Therefore, the two pieces of wire will have lengths\(\(\frac{71}{3}\)\)cm and the radius of the circle will be\(\(\frac{71}{6\pi}\)\) cm.
In summary, when the 71 cm wire is cut into two pieces, one piece will have a length o\(\(\frac{71}{3}\)\)cm, which can be bent into the shape of an equilateral triangle with legs of equal length, and the other piece can be bent into the shape of a circle with a radius of \(\(\frac{71}{6\pi}\)\) cm.
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what is the answer to 3 groups of 2/3?
Answers
Answer:
Three times 2/3 is 6/3 or 2
Step-by-step explanation:
Beth bought six candy bars for a total of $16.80. How much
did each candy bar cost?
Write and solve a multiplication equation to find out how much each candy bar
cost.
Answers
Answer:
16.80 divided by 6 equals 2.8
please hurry i neeeed this fast!!!
Answers
Answer:
consecutive interior angles
Step-by-step explanation:
inside of the angle and consecutive to each other
Answer:
consecutive angles
Step-by-step explanation
What would be equivalent to 9 to the 2 power multiplied by 9 to the 6 power in fraction
Answers
Answer:
43046721/1
Step-by-step explanation:
9^2 * 9^6
81(531441)= 43046721
(if interpreted correctly, not sure what you mean by fraction form since the answer is a whole number)
could be written as 43046721/1
3/7d=5/14
HELP FAST ILL GIVE BRAINLIEST TO THE BEST ANSWER IF YOU DO IT FOR FREE POINT I WILL REPORT
Answers
Answer:
Step-by-step explanation:
this equation is false
please help me thanks
Answers
Answer:
1/14
Step-by-step explanation:
Merle tiene una oferta de un emisor de tarjeta de crédito para una APR del 0
% durante los primeros 60 días y una APR del 23,19 % después, con
capitalización diaria. ¿Qué tasa de interés efectiva se ofrece Merle?
UNA 26.00%
Answers
La tarjeta de crédito tiene una tasa efectiva de interés anual de 21,375 %.
¿Cómo determinar la tasa de interés efectiva anual?
En este problema tenemos que Merle obtiene una tarjeta de crédito bajo la siguientes condiciones: 0 % E.A. para los primeros 60 días, 23,19 % E.A. para los 365 restantes.
Debemos determinar la tasa de interés efectiva anual equivalente, esto es posiblemente mediante una aplicación consecutiva del concepto de interés, descrito abajo:
I = (1 + r / 36500)ⁿ
Donde:
r - Tasa de interés anual.n - Número de días.I - Ganancia por interés.La situación es descrita por la siguiente expresión matemática:
1 + R / 100 = (1 + 0 / 36500)⁶⁰ + (1 + 23,19 / 36500)³⁰⁵
Donde R es la tasa efectiva de interés anual.
Finalmente, despejamos la variable correspondiente:
R = 21,375
La tasa efectiva de interés anual a sufragar por Merle por el uso de tarjeta de crédito es 21,375 %.
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In right ABC, AN is the altitude to the hypotenuse. FindBN, AN, and AC,if AB =2 5 in, and NC= 1 in.
Answers
From the statement of the problem, we have:
• a right triangle △ABC,
,• the altitude to the hypotenuse is denoted AN,
,• AB = 2√5 in,
,• NC = 1 in.
Using the data above, we draw the following diagram:
We must compute BN, AN and AC.
To solve this problem, we will use Pitagoras Theorem, which states that:
\(h^2=a^2+b^2\text{.}\)Where h is the hypotenuse, a and b the sides of a right triangle.
(I) From the picture, we see that we have two sub right triangles:
1) △ANC with sides:
• h = AC,
,• a = ,NC = 1,,
,• b = NA.
2) △ANB with sides:
• h = ,AB = 2√5,,
,• a = BN,
,• b = NA,
Replacing the data of the triangles in Pitagoras, Theorem, we get the following equations:
\(\begin{cases}AC^2=1^2+NA^2, \\ (2\sqrt[]{5})^2=BN^2+NA^2\text{.}\end{cases}\Rightarrow\begin{cases}NA^2=AC^2-1, \\ NA^2=20-BN^2\text{.}\end{cases}\)Equalling the last two equations, we have:
\(\begin{gathered} AC^2-1=20-BN^2.^{} \\ AC^2=21-BN^2\text{.} \end{gathered}\)(II) To find the values of AC and BN we need another equation. We find that equation applying the Pigatoras Theorem to the sides of the bigger right triangle:
3) △ABC has sides:
• h = BC = ,BN + 1,,
,• a = AC,
,• b = ,AB = 2√5,,
Replacing these data in Pitagoras Theorem, we have:
\(\begin{gathered} \mleft(BN+1\mright)^2=(2\sqrt[]{5})^2+AC^2 \\ (BN+1)^2=20+AC^2, \\ AC^2=(BN+1)^2-20. \end{gathered}\)Equalling the last equation to the one from (I), we have:
\(\begin{gathered} 21-BN^2=(BN+1)^2-20, \\ 21-BN^2=BN^2+2BN+1-20 \\ 2BN^2+2BN-40=0, \\ BN^2+BN-20=0. \end{gathered}\)(III) Solving for BN the last quadratic equation, we get two values:
\(\begin{gathered} BN=4, \\ BN=-5. \end{gathered}\)Because BN is a length, we must discard the negative value. So we have:
\(BN=4.\)Replacing this value in the equation for AC, we get:
\(\begin{gathered} AC^2=21-4^2, \\ AC^2=5, \\ AC=\sqrt[]{5}. \end{gathered}\)Finally, replacing the value of AC in the equation of NA, we get:
\(\begin{gathered} NA^2=(\sqrt[]{5})^2-1, \\ NA^2=5-1, \\ NA=\sqrt[]{4}, \\ AN=NA=2. \end{gathered}\)Answers
The lengths of the sides are:
• BN = 4 in,
,• AN = 2 in,
,• AC = √5 in.
Find the indefinite integral. Check your answer by differentiation.[ 2x (x² + 3) ³dx =+C
Answers
Answer: ((x^2 + 3)^9)/9 +c
Step-by-step explanation:
Let, x² + 3 = u
⇒2x dx = du
Now, substituting, we get,
∫u^8 du
= (u^(8+1))/(8+1)
= (u^9)/9
= ((x^2 + 3)^9)/9 +c
15
A sample of calcite fell on the floor. It broke into many flat, smooth pieces. Which property
does this mineral have?
(4 Points)
fracture
cleavage
O breakage
slicing
Answers
The ski team needs new uniforms. The students plan to sell plush toy eagles (the school mascot) for $5 each. The students find three companies on-line that sell stuffed mascots. Company A sells 18 eagles for $49.32. Company B sells 16 eagles for $43.36. Company C charges $41.55 for 15 eagles. Which company has the best buy?
Answers
Answer:
i think b im not sure but i think
Answer:
Company B
Step-by-step explanation:
A. 18e = 49.32 e = 2.74
B. 16e = 43.36 e = 2.71
C. 15e = 41.55 e = 2.77
Order from least to greatest.
1/3 ,5/4, 0.85
Answers
Answer:
I believe it should be; 1/3, 0.85, 5/4
Answer:
The order from least to greatest of 1/3,5/4,0.85 is. ANSWER: 1/3,0.85,5/4
Is this answer right?
Answers
Answer:
Step-by-step explanation:
yes!
When Sarah opens a map of her neighborhood on her cell phone, she notices that the park near her house is 0.5 cm wide. She zooms in until it is 3 times as large. If the park is 15 m wide, what is the scale of her zoomed-in map?
A 10cm=1 m
B 1cm= 10 m
C 1cm= 30 m
D 3cm= 10m
Answers
The scale of Sarah's zoomed-in map is 1cm = 1000 cm or 1cm = 10 m. So the answer is (B) 1cm = 10 m.
To find the scale of Sarah's zoomed-in map, we can use the ratio of the width of the park on the map to its actual width.
Let's first convert the width of the park from meters to centimeters, since the width of the park on the map is given in centimeters.
15 m = 1500 cm
Next, we can set up a proportion:
0.5 cm / x = 1500 cm / (3x)
where x is the scale of the zoomed-in map.
Simplifying the proportion, we get:
0.5(3x) = 1500
1.5x = 1500
x = 1000
Therefore, the answer is (B) 1cm = 10 m.
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Find the solution set for the following problem.Two times a number increased by one is at least seven. {xl x>-3) {x| x >-3) {xl x < 3) {x| x > 3]
Answers
Solution
Step 1
Write an expression for the question
Let the number be x
2x + 1 ≥ 7
2x ≥ 7 -1
2x ≥ 6
2x/2 ≥ 6/2
x ≥ 3
Step 2
Write the solution set for the problem
{x | x ≥ 3} Option D
A cone has a diameter of 16 cm and a height of 35 cm. What is its volume?
Answers
Answer: if with 3.14 v= 37512.5333
if with pi v= 37531.56
Step-by-step explanation:
the formula is 1/3hπr^2
r= 2d so radius is 32
plus numbers in (square it multiple times pi or 3.14 then multiply times height and divide by 3)
Need help with this equation 8x²+10x-3
Answers
Answer:
Step-by-step explanation:
You have to use the quadratic formula
x = -b +/- \(\sqrt{(b^{2} -4ac)/2a\)
and then you can simplify both answers so the first one would be -13/2 and the second would be -27/2
you usually have to reject an answer but since there is no equal sign in the question, you should be fine
Please i need urgent right answer
Answers
Answer:
260°Step-by-step explanation:
Find the missing angles:
m∠CDE = 360 - 312 = 48m∠DCG = 180 - m∠CDE = 180 - 48 = 132 Consecutive interior anglesm∠BCG = 180 - m∠BCG = 180 - 52 = 128 Consecutive interior anglesFind x:
x = m∠BCG + m∠DCG = 132 + 128 = 260°Can you answer the screen shot
Answers
Answer: it's 6 5/12
Step-by-step explanation:
Answer:
Your answer will be 6 and 5/12
Step-by-step explanation:
did it with my calculator
please look at screenshots
Answers
Answer:
c
Step-by-step explanation:
it not linear relationship
I really need help. Please!
Answers
Explanation
There are no same length on either side
Goods include kennels, leads, toys and similar accessories for pets.
Look at the table.
About what percentage of the total amount is spent on Goods?
Answers
Answer:
Where is the table? Is there supposed to be an image attached?
Step-by-step explanation:
6x +30=-6 please explain what x is equal to
Answers
6x+30=-6
-30 -30
6x=-36
6x/6=-36/6
x=-6
A manufacturing company plans to coat the entire exterior of a cylindrical shipping container with a 0.075-mm layer of special rust proof paint. The cylinder has a radius of 5 cm and height of 12 cm. The paint costs $0.35 per cubic centimeter. What is the cost of the paint for each cylinder?
Answers
Answer:
534.07cm² * 0.35=186.9245 dollar
The length of a bacterial cell is about 5 x 10 ^−6 m, and the length of an amoeba cell is about 3.5 x 10 ^−4 m. How many times smaller is the bacterial cell than the amoeba cell? Write the final answer in scientific notation with the correct number of significant digits.
1.4 x 10 ^1
7 x 10 ^1
143 x 10 ^1
7 x 10 ^3
Answers
Answer:7 x 10 ^1 is the right answer
Step-by-step explanation:
Hope this helps :)
There is the bacterial cell 7 × 10¹ times smaller than the amoeba cell which is the correct answer would be an option (B).
What is the Scientific Notation?Scientific Notation is a way of writing down in the easy form of very large or very small numbers.
We have been given that a bacterial cell is around 5 × 10⁻⁶ m long, while an amoeba cell is about 3.5 × 10⁻⁴ m long.
To determine the number of times smaller is the bacterial cell than the amoeba cell.
⇒ amoeba cell / bacterial cell
⇒ 3.5 × 10⁻⁴ m / 5 × 10⁻⁶ m
Apply the division operation, and we get
⇒ 0.7 × 10⁻⁴ × 10⁶
Adding the exponents of the above terms
⇒ 0.7 × 10⁻⁴⁺⁶
⇒ 0.7 × 10²
⇒ 7 × 10¹
Hence, there is the bacterial cell 7 × 10¹ times smaller than the amoeba cell.
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HELP ASAP! I NEED HELP RN AND I PROMISE TO GIVE YOU BRAINELIST IF YOU ANSWER THIS
Answers
Answer:
B. (-4, 4)
Step-by-step explanation:
The triangle is being translated 2 units left and 3 units up. This means that you subtract 2 from the x-coordinate of every point on the triangle, and add 3 to every y-coordinate. If you were translating it right, you’d add to the x-coordinate, and down would be subtracting from the y-coordinate. Basically, you’re moving the triangle, meaning every point goes along with it.
On the graph, point A has the coordinates (-2, 1). If you subtract 2 from -2, you get -4. Then, if you add 3 to 1, you get 4. Therefore, the answer is (-4, 4), or B.
Hope this helps! Sorry, I don’t know what Brainlist is, so don’t worry about giving me anything :D
If the radius of a circle is 3m, what is the diameter?
Answers
Answer:
d = 6
Step-by-step explanation:
We know that the radius is 3m and we need to find the diameter.
The formula for the diameter is d = 2r
Since the radius is 3, we can substitute r for 3.
d = 2(3)
d = 6
The diameter is 6 m.
What is diameter?The diameter is the length of the line through the center that touches two points on the edge of the circle.
Given: radius= 3m and we need to find the diameter.
The formula for the diameter is
d = 2r
As the radius is 3 m, put r for 3 in d=2r.
d = 2(3)
d = 6 m.
Hence, the diameter is 6m.
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Craig filled 1/3 of a bag with black beans and 2/6 of the same bag with red beans what fraction of the bag did Craig fill with beans
Answers
Answer:
4/6
Step-by-step explanation:
Make 1/3 into 6 as its denominator.
1 x 2 = 2
3 x 2 = 6
Black beans fill up 2/6 of the bag.
Red beans fill up 2/6 of the bag.
Find out what is the fraction both bags fill up altogether.
2/6 + 2/6 = 4/6