Answer:
a principal square root is always positive
Step-by-step explanation:
When you take a square root of a number, you get a positive and negative number
The principal square root is the positive number
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
Help please, this is definitely not my area of expertise.
Answer:
she will make 1,815
equation:55x+1
Answer:
Equation: 55 + B = A
Ammount amy earns if she sells 33 books: 88 dollars
Step-by-step explanation:
they let us know that she earns 55 dollars a week. this is the minimum she can earn in a week. So 55 is just 55. she cant earn more or less than 55 a week by just working there. the variable is the ammount of books she sells every week. Every book she sells gives her an extra one dollar to her overall wage per week. so 55 is the base and the one dollar per book is the variable that changes depending on how much she sold. So the equation would the base of 55 and the variable 1x (x being the ammount of books being sold and the 1 being how much money she makes from each book) and now just put them together with a plus sign and it would look like this
55 + 1x = ...
If she was to sell 33 books and shes earning 1 dollar per book 1(33), we only change the x from x to 33
55 + 1(33) which gives us 88
HOPE THIS HELPED. DON'T FORGET TO MARK THIS AS THE BRAINLIEST ANSWER AND GIVE IT A 5 STAR FOR ANYONE IN THE FUTURE STRUGGLING TO DO THIS SAME PROBLEM. HAVE A NICE DAY!!!
HELP ASAP !! Suppose line segment AB has one endpoint at A(0, 0). If (5, 3) is the midpoint of AB, what
are the coordinates of point B?
Answer:
(9,3)
Step-by-step explanation:
did the calculations
The co-ordinates of point B is ( 10, 6 ).
What is a line segment ?A line segment is a subset of a line which has two endpoints.
According to the given question a line segment AB has one endpoint at A(0, 0) which is (x₁,y₁)
Given midpoint is at (5,3).
Let B is (x₂,y₂).
We know midpoint of x is (x₁ + x₂)/2 and midpoint of y is (y₁ + y₂)/2.
∴ 5 = ( 0 + x₂ )/2
5 = x₂/2
x₂ = 10.
AND
3 = ( 0 + y₂ )/2
3 = y₂/2
y₂ = 6.
( x₂,y₂ ) = (10,6)
learn more about midpoint here :
https://brainly.com/question/28224145
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Ashley has already knit 2 centimeters of scarf, and can knit 2 centimeters each night. Write an equation that shows the relationship between the nights x and the length knit y.
Answer:
2+2x=y
Step-by-step explanation:
We start our equation with 2 since that is how much she aldredy knit then we do X*2 or 2x =y then we put the 2 so 2+2x=y
The temperature outside in -5°C on Monday. Overnight it drops by 3°C. Between 9 am and noon the next day it rises 2°C. What is the temperature on Tuesday at noon?
Answer:
-6
Step-by-step explanation:
-5-3=-8
-8+2=-6
you subtract 3 from the Total temperature then and 2 to the answer
In parallelogram RELA you are given that the measure of angle R = 110 degrees. Find the measure of angle L.
Answer:
L = 110 degrees
Step-by-step explanation:
all angles in a parallelogram are congruent
Answer:
How are you in college
Step-by-step explanation:
1 + 1 = 2
3) At a barbecue, there are 68 hotdogs being grilled, and there are 34 people. How many hotdogs does each person get? (You can use a calculator) 68 II 8 Hotdogs People 34 Answer: hotdogs for each person
Answer:
2 hotdogs for each person
Step-by-step explanation:
Multiply. 3 2/3 x 3/4 Express your answer in simplest form
What is the value of x?
Answer/Step-by-step explanation:
well, first figure out how many units/times prism A was enlarged to become prism B...
16 ÷ 2 = 8
Now if we apply that info to the length of the prism, then...
80 ÷ 8 = 10
Therefore x = 10
And the Prisms remain congruent and proportional!
Hope this helps!Please mark Brainliest!!! =DPLEASE HELP QUICK!!! 3x − 2(6 − x) = 7x + 2(5 + x) − 6
Answer:
it would be x=-4
hope i helped ya
Answer:
x = -4
Step-by-step explanation:
3x -2(6-x) = 7x +2(5+x) -6
Distribute -2 through the parentheses 3x -12 +2x = 7x +2(5+x) -6
Distribute 2 through the parentheses 3x -12 +2x = 7x +10 +2x -6
3x -12 +2x = 7x +10 +2x -6 cancel equal terms on both sides of the equation
3x -12 = 7x +10 -6 subtract the numbers 3x -12 = 7x +4
Move variable to the left left handed side and change its sign
3x -7x-12 = 4 --> 3x -7x = 4 + 12 --> -4x = 4+12 --> -4x = 16
Divide both sides of the equation by -4 --> x = -4
Is it TRUE, you can solve a literal equation by isolating the specified variable, or letter
There are 958 students in Central High
School. There are 50 more girls than boys.
How many boys are there?
Answer:
Step-by-step explanation:
958/2=479= half of the students
479-50=429
There are 429 boys
What are the lyrics to
Part of Your World?
Kinda confused!! need help!!
Answer:
I think last option is correct
Answer:
Option 2. EG, DH, CG, FH
Step-by-step explanation:
Skew lines are lines that do not lie on the same plane, and they also never intersectLet's verify options
Option 1
AC is an exception, it intersects ABOption 2
All good, all lines are skew with ABOption 3
GH is an exception, Can be on the same plane with ABOption 4
CD is an exception, can be on the same plane with ABSolve the equation algebraically. x^2-7x-1/7=0
Answer:
[tex]x1=\frac{49+\sqrt{2429}}{14} \\x2=\frac{49-\sqrt{2429}}{14} \\[/tex]
Step-by-step explanation:
[tex]x^2-7x-\frac{1}{7} =0\\7x^2-49x-1=0\\D=b^2-4ac=(-49)^2-4*7*(-1)=2429\\x1=\frac{49+\sqrt{2429} }{14} \\x2=\frac{49-\sqrt{2429} }{14} \\[/tex]
Suppose that the number of miles that an EV battery (electric vehicle) can run before its battery wears out is exponentially distributed with the average value of 100,000 miles. If a car manufacturer decides to install this type of battery to power the vehicle, do the following: 1) What percentage of the cars will fail at the end of 50,000 miles
Answer:
The value is [tex]P(X = 50,000) = 6.07*10^{-6}[/tex]
Step-by-step explanation:
From the question we are told that
The average value is [tex]E(x) = 100000 \ miles[/tex]
Generally the exponential distribution function is mathematically represented as
[tex]f(x) = \{ \left \theta* e^{-\theta * x } \ ; \ \ \theta >0} \atop {0 \ ; \ otherwise }} \right.[/tex]
Here [tex]\theta [/tex] is a constant which is mathematically represented as
[tex]\theta = \frac{1}{E(x)}[/tex]
=> [tex]\theta = \frac{1}{100000}[/tex]
=> [tex]\theta =1 *10^{-5}[/tex]
So at x = 50,000 miles (given)
[tex]f(50000) = 1 *10^{-5} * e^{-1*10^{-5} * 50000}[/tex]
[tex]f(50000) = 6.07*10^{-6}[/tex]
So the percentage of the cars will fail at the end of 50,000 miles is
[tex]P(X = 50,000) = 6.07*10^{-6}[/tex]
Suppose you deposit $134,000 into an account paying 8% simple annual interest, and that you won't touch the
account until it holds $1,000,000. How long must you wait?
Answer:
years. (Round your answer to the nearest year.)
Answer:
134,000x 0.08= 10,720= the money you get every year from interest
1,000,000/10,720= 93.28... or 93 years
Step-by-step explanation:
5. Michelle feeds her fish 20 grams of fish food a day. How many kilograms of fish food does Michelle use in 8 weeks? Show your work
(A) 0.112
(B) 1.12
(C) 11.2
(D) 112
Answer: (B) 1.12
Step-by-step explanation:
8 weeks = 56 days
56 days x 20 grams = 1120 grams
1120 grams = 1.12 kilograms
On Monday, you swim 12 laps in 30 minutes. On Tuesday, you swim 15 laps in 45 minutes. Are these rates proportional?
Answer:
no.
Step-by-step explanation:
12/30 = 0.4
15/45 = 1/3
Find the z score that cuts-off the largest 9% under the standard normal curve. a) -1.34 b) 1.34 c) 0.536 d) 1.28
Answer:
b) 1.34
Step-by-step explanation:
The z score is used to determine the number of standard deviations by which the raw score is above or below the mean. If the z score is positive then the z score is above the mean while for a negative z score implies that it is below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
For the largest 9%, the score is 100% - 9% = 91% = 0.91
From the normal distribution table, the z score that corresponds to 0.91 is 1.34
Suppose line segment AB has one endpoint at A(0, 0). What are the coordinates of B if (5, 3) is 1/3 of the way from A to B?
Answer:
[tex]B(x_2,y_2)= (20,12)[/tex]
Step-by-step explanation:
Given
[tex]A = (0,0)[/tex]
[tex]Ratio; m : n = 1 : 3[/tex]
[tex]Point\ at\ 1 : 3 = (5,3)[/tex]
Required
Coordinates of B
This question will be answered using line ratio formula;
[tex](x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]
In this case:
[tex](x,y) = (5,3)[/tex]
[tex](x_1,y_1) = (0,0)[/tex]
[tex]m : n = 1 : 3[/tex]
Solving for [tex](x_2,y_2)[/tex]
[tex](x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex] becomes
[tex](5,3) = (\frac{1 * x_2 + 3 * 0}{1 + 3},\frac{1 * y_2 + 3 * 0}{1 + 3})[/tex]
[tex](5,3) = (\frac{x_2 + 0}{4},\frac{y_2 + 0}{4})[/tex]
[tex](5,3) = (\frac{x_2}{4},\frac{y_2}{4})[/tex]
Comparing the right hand side to the left;
[tex]\frac{x_2}{4} = 5[/tex] -- (1)
[tex]\frac{y_2}{4} = 3[/tex] -- (2)
Solving (1)
[tex]x_2 = 5 * 4[/tex]
[tex]x_2 = 20[/tex]
Solving (2)
[tex]y_2 = 3 * 4[/tex]
[tex]y_2 = 12[/tex]
Hence;
[tex]B(x_2,y_2)= (20,12)[/tex]
Japanese pan noodles. Ten students order noodles at a certain local restaurant. Their orders are placed independently. Each student is known to prefer Japanese pan noodles 40% of the time (it is a very popular and tasty dish!). a. What is the probability that all ten of the students order Japanese pan noodles
Answer:
The probability that all ten of the students order Japanese pan noodles is 0.0001048576.
Step-by-step explanation:
Note: See the attached Microsoft word file for the calculation.
Simplify by combining like terms -10+2(3x-1)+1
Answer: -11+6x
Step-by-step explanation:
Understand PEMDAS method (Operates from left to right)
ParenthesisExponentsMultiplication and DivisionAddition and SubtractionSOLVE:
Given
-10+2(3x-1)+1
Expand parenthesis
-10+6x-2+1
Use PEDMAS method
-10-2+1+6x
-12+1+6x
-11+6x
Hope this helps!! :)
What is 45divided by 9 ?
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Step 1:
45 ÷ 9
Answer:
5
Hope This Helps :)
The perimeter of the triangle below is 99 units. Find the length of side WX.
Write your answer without variables.
X
4z
wx = 0
Х
V
2 + 2
3z + 1
w
Check
Answer:
14
Step-by-step explanation:
Perimeter= 99
XV+VW+WX=99
4z+3z+1+z+2=99
8z+3=99
8z= 96
z=96/8
z= 12
WX= z+2= 12+2= 14.
Hope it helps :-)
Inverse functions, PLEASE HELP I’m stuck
Write the equation of the line in point-slope form that passes through the given point with the given slope (1,5); m = -3
Answer:
y - 5 = -3(x-1)
Step-by-step explanation:
We have the slope and a point
Point slope form is
y-y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line
y - 5 = -3(x-1)
The length of AB = in ?
If you are given the measurements If two sides of a triangle, what will be true about the triangle you make?
Answer:
You can make infinitely many unique triangles.
Step-by-step explanation:
You aren't given the measure of the angle that the two given sides form, therefore, the two given sides could form any angle greater than 0° but less than 180°. In each different "case", the triangle will be different, hence, the answer is You can make infinitely many unique triangles.
Answer:
you can make infinitely many unique trangles
Step-by-step explanation:
trust em i did it and got it right
round to 2 decimal 0.314
Answer:0.300
Step-by-step explanation:Just took something familiar
Answer:
0.31
Step-by-step explanation: