It is estimated that 50% of emails are spam emails. Some software has beenapplied to filter these spam emails before they reach your inbox. A certain brandof software claims that it can detect 99% of spam emails, and the probabilityfor a false positive (a non-spam email detected as spam) is 5%.Now if an email is detected as spam, then what is the probability that it isin fact a non-spam email?
Answer:
P(Non-Spam/Spam Detected) = 5/99
Step-by-step explanation:
To determine the probability that it is in fact a non-spam email, we will employ the use of Bayes Theorem: P(A/B) = (P(B/A) x P(A)) / P(B).
P(Spam) = P(Non-Spam) = 0.5
P(Spam Detected) = P(Spam) * rate of detection = 0.5 * 0.99
P(Detected/Non-Spam) = P(false positives) = 0.05
Using Bayes Theorem, P(Non-Spam/Spam Detected) = ( P(Spam Detected/Non-Spam) x P(Non-Spam) ) / P(Spam Detected)
= 0.05*0.5 / 0.5*0.99
= 5/99
Using conditional probability, it is found that there is a 0.0481 = 4.81% probability that it is in fact a non-spam email.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: Email detected as spam.Event B: It is a non-spam email.The percentages of emails detected as spam are:
99% of 50%(spam emails).5% of 50%(non-spam emails).Hence:
[tex]P(A) = 0.5(0.99) + 0.5(0.05) = 0.52[/tex]
The probability of an email being detected as spam and not being spam is:
[tex]P(A \cap B) = 0.5(0.05)[/tex]
Hence, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.5(0.05)}{0.52} = 0.0481[/tex]
0.0481 = 4.81% probability that it is in fact a non-spam email.
A similar problem is given at https://brainly.com/question/14398287
Need soome help on this homework question thanks
Answer:
See Below
Step-by-step explanation:
Zach bought 200 shares of Goshen stock 20 years ago for $21.35 per share. He sold all 200
shares today for $43 per share.
a. What was the total purchase price for the 200 shares?
b. What was the total selling price for the 200 shares?
C. What was the capital gain for the 200 shares?
Answer:
4,330
Step-by-step explanation:
Multiply 21.35 times 200 and you get 4,270, then multiply 200 times 43 and you will get 8,600. then subtract and you will get 4,330
The answers are :
a) The total purchase price for the 200 shares was $4270.
b) The total selling price for the 200 shares was $8600.
c) The capital gain for the 200 shares was $4330.
What is the unitary method ?
The unitary method is a method in which you find the value of one unit and then the value of a required no. of units.
It is given that 20 years ago Zach bought 200 shares.
Price of 1 share = $21.35
a)
The total purchase price for the 200 shares was :
= 200 × $21.35
= $4270
b)
It is given that Zach sold 200 shares today.
Price of 1 share = $43
The total selling price for the 200 shares was :
= 200 × $43
= $8600
c)
The capital gain for the 200 shares was :
= $8600 - $4270
= $4330
Therefore , the answers are :
a) The total purchase price for the 200 shares was $4270.
b) The total selling price for the 200 shares was $8600.
c) The capital gain for the 200 shares was $4330.
Learn more about unitary methods here :
https://brainly.com/question/8083231
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Vivian put $2,300 into an interest-bearing savings account. Her account balance, in dollars, after 6 years can be calculated using the expression shown below. Use the given expression to complete the statements. The quantity that represents Vivian's initial deposit is . The quantity that represents the rate at which the account is increasing is , which means the interest rate is %.
Answer:
The quantity the represents Vivian's initial deposit is $2,300. The quantity that represents the rate at which the account is increasing is 1.05, which means the interest rate is 5%.
Write an inequality that represents the missing dimension x
.
The area is less than 42 square meters.
An inequality is .
*see the figure referred to in the attachment below.
Answer:
x < 14
Step-by-step explanation:
The figure given is a triangle with base (b) = x, and height (h) = 6 m.
We are told that the area is less than 42 m². To write an inequality that represents the base (b) = x, let's find the area of the triangle and create an inequality statement.
Area of ∆ = ½*b*h = ½*x*6
Area = x*3 = (3x) m²
The area is less than 42 m², as stated in the question. Which means, the inequality statement would be:
3x < 42
Divide both sides by 3
3x/3 < 42/3
x < 14
The inequality representing the missing dimension (the base) is x < 14
y < 2x - 5
Which of the following graphs represent the inequality?
Answer: C
Step-by-step explanation:
For this problem, we need to graph y=2x-5. We can eliminate A and D because the graph is not y=2x-5. The main difference between B and C is the shading and line. Since we see the inequality is less than, but NOT equal to, we know that the line will be dashed. The solid line tells us that the graph reaches the line, meaning it is equal to. Therefore, we can eliminate B. C is the correct answer. We also know that the shading would be under the dashed line because it is LESS THAN.
Solve the equation. Then determine whether the equation is an identity, a conditional equation, or an inconsistent equation. 2x+21=7(x+3)-5x
Step-by-step explanation:
this is your answer.........
The equation 2x + 21 = 7(x + 3) – 5x does not have solution that mean inconsistent equation.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equation is given below.
2x + 21 = 7(x + 3) – 5x
Simplifying the equation, we have
2x + 21 = 7x + 21 – 5x
2x + 21 = 2x + 21
0 = 0
The equation 2x + 21 = 7(x + 3) – 5x does not have solution that mean inconsistent equation.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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Write 4/9 as a decimal?
Answer: 0.44
Step-by-step explanation:
Chapter
1
Review & Refresh
Simplify the expression.
1. 18x - 6x + 2x
2. 4b – 7 – 15b + 3
3. 15(6-g)
4. –24 + 2(y – 9)
Please help me with these 4 problems!!:))
Answers:
1) 18x - 6x + 2x = 14x
Combine like terms by subtracting 6 from 18 and adding 2
2) 4b - 7 - 15b + 3 = - 11b - 4
Combine like terms add 4b and - 15b ; add -7 and 3
3) 15(6-g) = 90 - 15g
Distribute the 15 to both terms
4) -24 + 2(y - 9) = 2y - 42
Distribute the 2 to (y-9) and combine like terms
Find the quotient.
2.38÷5
Answer:
2.38÷5=0.476
hope this helps! best of luck <3
Which equation represents the function described by this table?
f(x)=x+7
f(x)=x−7
f(x)=7x
f(x)=−7x
Answer:
F(x)=x+7 the answer is A
Step-by-step explanation:
You can see the table is adding positive 7 to each number on the X column because -8+7=-1, -2+7=5, 5+7=12, 7+7=14. I PROMISE ITS RIGHT :)
MATCH THE CONSTANT WITH ITS EXPRESSION! HELP PLEASE I SUCK AT MATH❤️❤️❤️❤️
Answer:
Step-by-step explanation:
The constant of an equation is simply the number at the end without a variable. It is called a constant because it is the only term that doesn't change if you plug in a random x value. So:
The constant of 5a^2 + a - 1 is -1
The constant of 3x^2-x +1 is +1
The constant of y^2-2y+2 is +2
and the constant of m^2 +2m -2 is -2.
Hope this helped!
HELPP!! Find the x with the details in this picture ^
Answer:
y≈5.56
Step-by-step explanation:
[tex]\angle KLM=136\\\\\angle KLN=47\\\\\angle NLM=16y\\\\\angle KLM=\angle KLN+\angleNLM\\\\136=47+16y\\\\136-47=16y\\\\136-36-11=16y\\\\100-11=16y\\\\89=16y\\\\y=\frac{89}{16}\\\\y=5.5625[/tex]
Answer:
y = 5.56
Step-by-step explanation:
Use the total, measure KLN = 136⁰ and subtract measure KLN = 47 from measure KLM. Then do 89/16 = 5.5625. Then round to the hundredths, 5.56.
[136 - 47 = 89]
[89 / 16 = 5.5625]
[Round to 5.56]
What is the value of x? Enter your answer in the box. x = cm A bow tie shape polygon made of two bow ties that share a vertex. The shape is created by two segments intersecting forming two triangles with vertical angles. An alternate interior angle of the triangles are marked congruent to each other. The larger triangle is on the left and the smaller triangle is on the right. In the larger triangle, the left side of the triangle is 32 centimeters. The south side of the triangle is 40 centimeters. On the smaller triangle, the right side of the triangle is 4 centimeters. The north side of the triangle is labeled x.
Answer:
side x is 5 cm long
Step-by-step explanation:
Use proportions, given that the two triangles are similar because they contain three equal angles:
One angle due to connected by the vertex (oppose by the vertex), another angle as marked with the tick, and the third one has to be the same due to the fact that the addition of the three internal angles of a triangle must equal 180 degrees.
Then our proportion becomes:
[tex]\frac{4}{32} =\frac{x}{40}[/tex]
And then we solve for x by multiplying both sides by 40 (to eliminate the denominator on the right):
[tex]\frac{4}{32} =\frac{x}{40} \\\frac{4*40}{32} =x\\ x=5\,\,cm[/tex]
Answer:
5cm
Step-by-step explanation:
Just took the test :)
Twenty-two increased by six times a number is 28. whats the number
Answer:
1.27
Step-by-step explanation:
Bob the builder wants to earn an annual rate of 10% on his investment how much should he pay for s note that will be worth 3,000 in 9 months
Answer:
2786 is the answer for the question
The price for video game A is $15 more than the price for video game B. If the total of these two prices is $39, find the price of each game.
and the cost for video game B is $
The cost for video game A is $
(Type integers or decimals.)
Answer:
Video Game A: $27
Video Game B: $12
Step-by-step explanation:
First, I divide the total in approximately half ($20 and $19). Since the difference between these two numbers is already $1, I only have to make the difference $14. I do this by dividing $14 in half ($7 and $7) and subtracting $7 from $19 and adding $7 to $20. So, video game A costs $27 and video game B costs $12. Also, to check the answer: $27 is $15 more than $12 and $27 + $12 is $39.
Which numbers are between the numbers represented by Points A and B on the number line? Check all that apply.
Answer:
c and d?
Step-by-step explanation:
im not sure if thats right but those are the only 2 numbers that i see beetween the number line
Answer:
A, C, D, E
Step-by-step explanation:
-7/10 in decimal form is -0.7 so it would be between -0.2 and -0.8
-9/10 as a decimal is -0.9 so it is too high
-1/2 as a decimal is -0.5 so it is between -0.2 and -0.8
-1/4 as a decimal is -0.25 so it is too high
-2/5 as a decimal is -0.4 so it is between 0.2 and 0.
EDIT: 1/4 is right actually so it's d to.
what is 5 divided by 50
Answer:
50 divided by 5: 10.
5 divided by 50: 0.1
Step-by-step explanation:
Here we will show you step-by-step with detailed explanation how to calculate 50 divided by 5 using long division.
Before you continue, note that in the problem 50 divided by 5, the numbers are defined as follows:
50 = dividend
5 = divisor
Step 1:Start by setting it up with the divisor 5 on the left side and the dividend 50 on the right side.
Step 2:The divisor (5) goes into the first digit of the dividend (5), 1 time(s). Therefore, put 1 on top.
Step 3:Multiply the divisor by the result in the previous step (5 x 1 = 5) and write that answer below the dividend.
Step 4:Subtract the result in the previous step from the first digit of the dividend (5 - 5 = 0) and write the answer below.
Step 5:Move down the 2nd digit of the dividend (0)
Step 6:The divisor (5) goes into the bottom number (0), 0 time(s). Therefore, put 0 on top.
Step 7:Multiply the divisor by the result in the previous step (5 x 0 = 0) and write that answer at the bottom.
Step 8:Subtract the result in the previous step from the number written above it. (0 - 0 = 0) and write the answer at the bottom.
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 50 divided by 5 OR 5 divided by 50 calculated using Long Division is:
50 divided by 5: 10.5 divided by 50: 0.1A professional golfer is shopping for a new brand of golf ball. He likes most of the features of one particular brand, but he wants to make sure that the brand has a desirable spin rate (the rate at which the ball spins on its axis after being struck by a golf club). To test the spin rate of this new brand of ball, the golfer hits the brand of ball on 100 five-iron shots, and a computer measures the spin rate for each shot. The computer then produces the following histogram summarizing the 100 spin rates: 2520151050Frequency1010242421115000550060006500700075008000Spin rate (in revolutions per minute) Based on the histogram, find the proportion of spin rates in the sample that are greater than or equal to 7000 revolutions per minute. Write your answer as a decimal, and do not round your answer.
Please find full question attached
Answer:
6584.4595( to four decimal places)
Explanation:
Please find full explanation attached
Identify which line from the graph the following right triangles could lie on.
Answer:
Step-by-step explanation:
Slope of line A = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{9}{3}[/tex]
= 3
Slope of line B = [tex]\frac{9}{6}[/tex]
= [tex]\frac{3}{2}[/tex]
Slope of line C = [tex]\frac{6}{8}[/tex]
= [tex]\frac{3}{4}[/tex]
5). Slope of the hypotenuse of the right triangle = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{90}{120}[/tex]
= [tex]\frac{3}{4}[/tex]
Since slopes of line C and the hypotenuse are same, right triangle may lie on line C.
6). Slope of the hypotenuse = [tex]\frac{30}{10}[/tex]
= 3
Therefore, this triangle may lie on the line A.
7). Slope of hypotenuse = [tex]\frac{18}{24}[/tex]
= [tex]\frac{3}{4}[/tex]
Given triangle may lie on the line C.
8). Slope of hypotenuse = [tex]\frac{21}{14}[/tex]
= [tex]\frac{3}{2}[/tex]
Given triangle may lie on the line B.
9). Slope of hypotenuse = [tex]\frac{36}{24}[/tex]
= [tex]\frac{3}{2}[/tex]
Given triangle may lie on the line B.
10). Slope of hypotenuse = [tex]\frac{48}{16}[/tex]
= 3
Given triangle may lie on the line A.
arts and crafts shop has a bolt of crimson velvet 32 M long a customer came in during the morning and bought 120cm of the velvet another customer bought an additional meters during the afternoon how much Crimson velvet does Malik shop have left write the answer in centimeters
Answer:
2760
Step-by-step explanation:
I really don't know I just did 32x120
80 + (-25) =
integers
Adding a negative is the same as subtracting a positive number.
80 + (-25)
80 - 25
= 55
Best of Luck!
-35 divided by 5 please help me ASAP
Answer:
- 35 / 5 is - 7. So the answer is -7
Answer:
-7
Step-by-step explanation:
-35/5
Just divide this
= -7
A map is drawn to scale so that a length of 1 inch represents an actual distance of 6 miles. If two
towns are 30 inches apart on the map, what is the actual distance between the two towns?
I need help on this please
Answer:
angle 1
Step-by-step explanation:
Answer: Angle 1
Explanation:
Vertical angles are angles that are opposite one another, and they are formed when you cross two lines. The pairs of vertical angles are...
Angle 1 and angle 4Angle 2 and angle 3Angle 5 and angle 8Angle 6 and angle 7Let X1,..., Xn be a simple random sample from a distribution with density function Svorvo-1 O<331 fx (2:0) = otherwise where e > 0 is an unknown parameter.
(a) Find a MOM estimator for 0.
(b) If the observations are 1 1 1 2'3'2 Determine the point estimate with the estimator you find in part (a).
Answer:
The method of moment (MOM) estimator as: [tex]\mathbf{\hat {\theta} =(\dfrac{\overline X}{1-\overline X})^2}[/tex]
[tex]\overline X = \dfrac{4}{9}[/tex]
[tex]\mathbf{\hat {\theta} =\dfrac{16}{25} }[/tex]
Step-by-step explanation:
From the question, the correct format for the probability density function is:
[tex]fx(x ; \theta) = \left \{ {{\sqrt{\theta x}^{\sqrt{\theta}-1}}\ \ 0 \leq x \leq 1 \atop {0} \ \ \ \ \ \ \ otherwise } \right.[/tex]
where θ > 0 is an unknown parameter.
(a) The MOM estimator can be calculated as follows:
[tex]E(X) = \int ^1_0x. \sqrt{\theta} \ x^{\sqrt{\theta}-1} \ dx[/tex]
[tex]E(X) = \int ^1_0 \sqrt{\theta} \ x^{\sqrt{\theta}} \ dx[/tex]
[tex]E(X) = \dfrac{\sqrt{\theta} }{\sqrt{\theta} +1 } ( x ^{\sqrt{\theta}+1})^1_0[/tex]
[tex]E(X) = \dfrac{\sqrt{\theta} }{\sqrt{\theta} +1 }[/tex]
suppose E(X) = [tex]\overline X[/tex]
Then;
[tex]\overline X = \dfrac{\sqrt{\theta} }{\sqrt{\theta} +1 }[/tex]
[tex]\dfrac{1}{\overline X} = \dfrac{\sqrt{\theta} +1 }{\sqrt{\theta}}[/tex]
[tex]\dfrac{1}{\overline X} =1 + \dfrac{1}{\sqrt{\theta}}[/tex]
making [tex]\dfrac{1}{\sqrt{\theta}}[/tex] the subject of the formula, we have:
[tex]\dfrac{1}{\sqrt{\theta}} =\dfrac{1}{\overline X} - 1[/tex]
[tex]\dfrac{1}{\sqrt{\theta}} =\dfrac{1-\overline X}{\overline X}[/tex]
[tex]\sqrt{\theta} =\dfrac{\overline X}{1-\overline X}[/tex]
squaring both sides, we have:
The method of moment (MOM) estimator as: [tex]\mathbf{\hat {\theta} =(\dfrac{\overline X}{1-\overline X})^2}[/tex]
b) If the observations are [tex]\dfrac{1}{2}, \dfrac{1}{3}, \dfrac{1}{2}[/tex]
Then,
[tex]\overline X = \dfrac{\dfrac{1}{2}+ \dfrac{1}{3}+\dfrac{1}{2}}{3}[/tex]
[tex]\overline X = \dfrac{\dfrac{3+2+3}{6}}{3}[/tex]
[tex]\overline X = \dfrac{\dfrac{8}{6}}{3}[/tex]
[tex]\overline X = \dfrac{8}{6} \times \dfrac{1}{3}[/tex]
[tex]\overline X = \dfrac{8}{18}[/tex]
[tex]\overline X = \dfrac{4}{9}[/tex]
Finally, the point estimate of the estimator [tex]\theta[/tex] is
[tex]\mathbf{\hat {\theta} =\begin {pmatrix} \dfrac{\dfrac{4}{9}}{1-\dfrac{4}{9}} \end {pmatrix}^2}[/tex]
[tex]\mathbf{\hat {\theta} =\begin {pmatrix} \dfrac{\dfrac{4}{9}}{\dfrac{5}{9}} \end {pmatrix}^2}[/tex]
[tex]\mathbf{\hat {\theta} =\begin {pmatrix} \dfrac{4}{5} \end {pmatrix}^2}[/tex]
[tex]\mathbf{\hat {\theta} =\dfrac{16}{25} }[/tex]
This graph shows the solution to which inequality?
The graph shows Irene's changing distance as she traveled on a boat. What does point A tell you about her speed?
Answer:
Do you have a picture of the problem/graph?
Step-by-step explanation:
Only then, can i provide an acurate answer!
pls & thx
x/3 - 15 = -7 solve for x
Answer:
[tex]x=24[/tex]
Step-by-step explanation:
[tex]\frac{x}{3}-15=-7[/tex]
Add 15 to both sides:
[tex]\frac{x}{3}-15+15=-7+15[/tex]
[tex]\frac{x}{3} =8[/tex]
Multiply both sides by 3:
[tex]\frac{3x}{3}=8\times3[/tex]
[tex]x=24[/tex]