Answer:
0.4 = 40% probability that the second household selected will have a traditional landline telephone
Step-by-step explanation:
A probability is given by the number of desired outcomes divided by the number of total outcomes.
We have that:
125,000 households
50,000 have traditional landlines telephones.
The first household selected does not have a traditional landline telephone.
Now we have 125000 - 1 = 124,999 households, and 50,000 have traditional landlines telephones.
What is the probability that the second household selected will have a traditional landline telephone
[tex]p = \frac{50000}{124999} = 0.4[/tex]
0.4 = 40% probability that the second household selected will have a traditional landline telephone
The vector matrix [-3,-5] is rotated at different angles. Match the angles of rotation to the vector matrices they produce.
Answer: The above answer is correct.
Step-by-step explanation: I got this correct on Edmentum.
Answers
[tex]A' = \left[\begin{array}{cc}5.830\\-0.098\end{array}\right][/tex], [tex]\theta = \frac{2\pi}{3}[/tex]
[tex]A' = \left[\begin{array}{cc}-5.657\\-1.414\end{array}\right][/tex], [tex]\theta = \frac{7\pi}{4}[/tex]
[tex]A' = \left[\begin{array}{cc}-2.83\\5.098\end{array}\right][/tex], [tex]\theta = \frac{4\pi}{3}[/tex]
[tex]A' = \left[\begin{array}{cc}5\\-3\end{array}\right][/tex], [tex]\theta = \frac{\pi}{2}[/tex]
This exercise consist in finding the resulting Vector Matrix for each Angle of Rotation and a given Vector Matrix. The result is found by multiplying the given Vector Matrix for a Rotation Matrix, defined below as follows:
[tex]A' = R\cdot A[/tex] (1)
Where:
[tex]A[/tex] - Given vector matrix.
[tex]R[/tex] - Rotation matrix.
[tex]A'[/tex] - Resulting vector matrix.
For 2-dimension Vector Matrices, The Rotation Matrix is defined by the following entity:
[tex]R = \left[\begin{array}{cc}\cos \theta&-\sin \theta\\\sin \theta&\cos \theta\\\end{array}\right][/tex] (2)
Where [tex]\theta[/tex] is the Angle of Rotation, in radians.
Let be [tex]A = \left[\begin{array}{cc}x\\y\end{array}\right][/tex], the resulting vector matrix is found by (1) and (2):
[tex]A' = \left[\begin{array}{cc}\cos \theta&-\sin \theta\\\sin \theta&\cos \theta\end{array}\right] \cdot \left[\begin{array}{cc}x\\y\end{array}\right][/tex]
[tex]A' = \left[\begin{array}{cc}x\cdot \cos \theta - y\cdot \sin \theta\\x\cdot \sin \theta +y\cdot \cos \theta \end{array}\right][/tex]
If we know that [tex]A = \left[\begin{array}{cc}-3\\-5\end{array}\right][/tex], then the resulting vector matrix for each angle is, respectively:
[tex]\theta = \frac{\pi}{4}[/tex]
[tex]A' = \left[\begin{array}{cc}1.414\\-5.657\end{array}\right][/tex]
[tex]\theta = \frac{\pi}{2}[/tex]
[tex]A' = \left[\begin{array}{cc}5\\-3\end{array}\right][/tex]
[tex]\theta = \frac{2\pi}{3}[/tex]
[tex]A' = \left[\begin{array}{cc}5.830\\-0.098\end{array}\right][/tex]
[tex]\theta = \frac{4\pi}{3}[/tex]
[tex]A' = \left[\begin{array}{cc}-2.83\\5.098\end{array}\right][/tex]
[tex]\theta = \frac{5\pi}{3}[/tex]
[tex]A' = \left[\begin{array}{cc}-5.83\\0.098\end{array}\right][/tex]
[tex]\theta = \frac{7\pi}{4}[/tex]
[tex]A' = \left[\begin{array}{cc}-5.657\\-1.414\end{array}\right][/tex]
Therefore, we have the following answers:
[tex]A' = \left[\begin{array}{cc}5.830\\-0.098\end{array}\right][/tex], [tex]\theta = \frac{2\pi}{3}[/tex]
[tex]A' = \left[\begin{array}{cc}-5.657\\-1.414\end{array}\right][/tex], [tex]\theta = \frac{7\pi}{4}[/tex]
[tex]A' = \left[\begin{array}{cc}-2.83\\5.098\end{array}\right][/tex], [tex]\theta = \frac{4\pi}{3}[/tex]
[tex]A' = \left[\begin{array}{cc}5\\-3\end{array}\right][/tex], [tex]\theta = \frac{\pi}{2}[/tex]
Related question: https://brainly.com/question/11815899
Kathy purchased cereal in bulk on two different trips to a grocery store. She paid $5.79 per pound each time. She purchased 2.25 pounds the first time and 1.8 pounds the second time. Rounded to the nearest cent, what is the total amount Kathy paid for both cereal purchases?
Answer:
$23.45
Step-by-step explanation:
5.79 x 2.25 = 13.03
5.79 x 1.8 = 10.42
total = 23.45
Rewrite the expression by combining like terms.
3y + 5x2 + 10x + 2x2 + 15x - 3y
2 + 2xy + 2x
3x2 + 3x + 6y
7x24
30x² + 6y² + y
Answer:
Factoring 3x2 - 2x - 1
The first term is, 3x2 its coefficient is 3 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 3 • -1 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -2 .
-3 + 1 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 1
3x2 - 3x + 1x - 1
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (x-1)
Add up the last 2 terms, pulling out common factors :
1 • (x-1)
Step-5 : Add up the four terms of step 4 :
(3x+1) • (x-1)
Which is the desired factorization
Final result :
5xy2 • (x - 1) • (3x + 1)
use intercepts to graph each linear function.
6x-3y=15
Answer:
6x-3y=15Solve for y.
y= −5+2x
Rewrite in slope-intercept form.
y=2x−5
Use the slope-intercept form to find the slope and y-intercept.
Slope: 2
y-intercept: (0,−5)
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
x y
0 −5
5/2 0
Graph the line using the slope and the y-intercept, or the points.
Slope: 2
y-intercept: (0,−5)
x y
0 −5
5/2 0
Step-by-step explanation:
Hope it is helpful....
what is the greatest common factor of 10, 30 and 45
Answer:
5
Step-by-step explanation:
There has been a great deal of controversy over the last several years regarding what types of surveillance are appropriate to prevent terrorism. Suppose a particular surveillance system has a 96% chance of correctly identifying a future terrorist and a 99.8% chance of correctly identifying someone who is not a future terrorist. If there are 1,000 future terrorists in a population of 200 million, and one of these 200 million is randomly selected, scrutinized by the system, and identified as a future terrorist, what is the probability that he/she actually is a future terrorist
Answer:
0.9976 = 99.76% probability that he/she actually is a future terrorist
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[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 question:
Event A: Person identified as a future terrorist
Event B: Person is actually a future terrorist.
Probability that a person is identified as a future terrorist:
96% of [tex]\frac{1000}{200000000}[/tex]
100 - 99.8 = 0.2% of [tex]\frac{200000000-1000}{200000000}[/tex]
So
[tex]P(A) = 0.96\frac{1000}{200000000} + 0.002\frac{200000000-1000}{200000000} = 0.002[/tex]
Probability of being identified and being a future terrorist:
100 - 99.8 = 0.2% of [tex]\frac{200000000-1000}{200000000}[/tex]
[tex]P(A \cap B) = 0.002\frac{200000000-1000}{200000000} = 0.00199999[/tex]
What is the probability that he/she actually is a future terrorist
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.00199999}{0.00200479} = 0.9976[/tex]
0.9976 = 99.76% probability that he/she actually is a future terrorist
Use the figure below to determine which of these statements are true? Select All that
apply ,
A < GDR and < GDA are complementary angles.
BCGDC and
C
D.
E
Answer:
A B C F
Step-by-step explanation:
To stay in a hotel it costs $104 each night (n) plus a $15 fee for parking. Think of the linear function that demonstrates the total cost (C) of staying in the hotel in terms of the number of nights (n) stayed. whats the initial value ?
Answer:
the equation is: (104 * x) + 15 = y i believe
Step-by-step explanation:
104 OF THE NUMBER of nights so times x because you dont know the number
and + 15 because of the fee
Evan uses 1/3 of his tickets to ride the loop-d-loop. how many tickets does he use?
Answer: 1/3 of 24 tickets is 8
Step-by-step explanation:
1/3 of 24 is 8.
The way I usually find this is by multiplying different numbers by three and seeing if it equals (in this case) 24.
8 x 3 = 24
Because eight goes into twenty-four three times, eight is one-third of twenty-four.
Hope this helps✨
Rounding to the first decimal place, calculate the mean for the following distribution of homicide rates in the 12 metropolitan areas with the lowest homicide rates (homicides per 100,000 population) in the U.S. in 2017.
Mesa, AZ: 4.1 Seattle, WA: 3.8 Portland, OR (tie): 3.4 New York, NY (tie): 3.4 Virginia Beach, VA: 3.3 San Jose, CA: 3.1 El Paso, TX: 2.9 Austin, TX: 2.6 San Diego, CA: 2.4 Suffolk County, Long Island, NY: 2.2 Montgomery County, MD: 2.0 Fairfax, VA: 1.7
Solution :
Given :
X = homicide rate (homicides per 100,00 population)
n = 12 = metropolitan areas
Area X (homicides per 100,000 population)
Mesa, AZ 4.1
Seattle, WA 3.8
Portland, OR (tie) 3.4
New York, NY(tie) 3.4
Virginia beach, VA 3.3
San Jose, CA 3.1
EI, Paso, TX 2.6
Austin, TX 2.6
San Diago, CA 2.4
Suffolk County 2.2
Montgomery, MD 2.0
Fairfax, VA 1.7
Therefore, the mean of X = [tex]$\bar X = \frac{\sum X_i}{n}$[/tex]
[tex]$=\frac{34.9}{12}$[/tex]
= 2.9
Therefore, the mean of homicide rater in the 12 metropolitan areas is 2.9 homicide per 100,000 population.
Log x^4-logx^3=log 3x-log2x solve
Answer:
x = 3/2
Step-by-step explanation:
Log x^4-logx^3=log 3x-log2x solve
log(x^4/x^3) = log(3x/2x)
Log cancels out
x^4/x^3 = 3x/2x
x^3 * x/x^3 = 3/2
x^3/x^3 * x = 3/2
x = 3/2
Hence the required value of x is 3/2
1. How many sixths do you need to make one whole unit?
Answer:
6
Step-by-step explanation:
you need 6/6 to make 1
if theres a pie cut 6 times you need all 6 pieces to make it whole again
Answer:
1/6 is one and to make one whole you need 6
Step-by-step explanation:
determine the value of x in 5x=25
Answer:
x = 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityStep-by-step explanation:
Step 1: Define
5x = 25
Step 2: Solve for x
[Division Property of Equality] Divide 5 on both sides: x = 5Highlight all of the Like Terms on questions 1-2 please!! (any color) (due in 5 minutes)
Answer:
1. 8,13,8,3,g
2. 8,13,3,g (Like term pair 1) and 8 (Like term pair 2)
Step-by-step explanation:
11 - 5x + 4x + 2 = 13 - 1x
True or False?
Answer:
True
Step-by-step explanation:
Simplify the left side. Combine like terms (terms with the same amount of variables).
11 + 2 = 13
-5x + 4x = 4x - 5x = -x
-x + 13 = 13 - x (True)
True is your answer.
~
NEED HELP ASAP PLEASE WITH EXPLANATION PLEASE
The original price of a watch was $200. The price was reduced to $160
during a sale. What was the percentage decrease in the price of the
watch?
(1) 20%
(2) 25%
(3) 40%
(4) 80%
Answer:
(1) 20%
Step-by-step explanation:
→ Find the difference in price
200 - 160 = 40
→ Divide difference by original price
40 ÷ 200 = 0.2
→ Multiply the answer by 100
0.2 × 100 = 20%
What comes next ? Finish the pattern 618427
The value of the number is 4.
Given to usSeries = {6,1,8,4,2,7}
AssumptionLet the next number in the series be x.
Patternslooking at the pattern the series can be classified into two
odd series consisting of the numbers {6, 8, 2, x}even series consisting of the numbers {1, 4, 7}Odd SeriesAs the x is falling under the odd number series the,
we can see the difference in the odd series is following -2, +6, -2, +6; therefore, following the same series we get
6 + 2 = 8
8 - 6 = 2
2 + 2 = 4
Hence, the value of the number is 4.
Learn more about series and sequence:
https://brainly.com/question/8195467
simplify -2+5(2+6r)
I’ll mark brainlist
Answer:
10+30r
Step-by-step explanation:
-2+5(2+6r)
expand 5(2+6r)
5x2=10
(6r)x(5)=30r
so it is 10+30r
then add that to -2
8+30r
Hope that helps :)
Find the area of the triange below
units given are cm, cm^2, cm^3
Answer:
[tex]A=150\ cm^2[/tex]
Step-by-step explanation:
The Hypotenuse of triangle, H = 25 cm
Base = 15 cm
Height = 20 cm
We need to find the area of the triangle. The area of a right-angled triangle is given by :
[tex]A=\dfrac{1}{2}\times b\times h\\\\A=\dfrac{1}{2}\times 15\times 20\\A=150\ cm^2[/tex]
So, the area of the triangle is equal to [tex]150\ cm^2[/tex].
patterns A and B are generated using these rules pattern a start with 12 and add six pattern be start with 4 and add 2
Which inequalities will have an open circle at -3
Diane has 496 beads and Linda has 286 beads.
How many fewer beads does Linda have?
beads
Х
?
Answer: 210 fewer beads.
Step-by-step explanation: All you have to do is subtract the amount Diane has by Linda. And the answer you get is how many less beads Linda has. She has 210 fewer beads than Diane from 7ds (7ds is an anime lol and Diane is a character just a joke).
Laurent is preparing a fruit salad. She wants the total carbohydrates from pineapple and watermelon to equal 24 g. Pineapple has 3 g of carbohydrates per ounce and watermelon has 2 g of carbohydrates per ounce. Write and graph an equation to model this situation.
Answer:
3x+2y=24
Step-by-step explanation:
I made the x value be the pineapples and the y value be the watermelon. And it said in the problem that it should equal 24g so I made it equal 24. Next You would need to find the x and y intercepts in order to graph it.
2y=24 and 3x=24, so x=8 and y=12. Now unfortunately I can't add a graph here but if you input those intercepts in an app like desmos or photomath, you'll get a graph. Hope this helps!
Find the equation of the line that
is perpendicular to the line y = 3x - 1
and
passes through the point (7.4).
Step-by-step explanation:
The given line is
y = 3x - 1
3x - y - 1 = 0 .....i)
The line perpendicular to the line I Is
x + 3y + k = 0 .....ii)
The line II) passes through the point (7, 4) so
7 + 3 *4 + k = 0
7 + 12 + k = 0
19 + k = 0
I. e k = - 19
So the required equation is x + 3y - 19 = 0
Hope it will help :)❤
Write 80% as a decimal.
I
help me??
Answer:
0.8
Step-by-step explanation:
I need help with this
Please help!
Note that common contexts are listed toward the top, and less common contexts are listed toward the bottom. According to O*NET, what are common work contexts for Film and Video Editors? Check all that apply.
(1) extremely bright or inadequate lighting
(2) spend time sitting
(3) exposed to disease or infections
(4) indoors, environmentally controlled
(5) face-to-face discussions
(6) deal with physically aggressive people
Answer:
2,4,5 got it right on egde2021
Step-by-step explanation:
It costs $40 to register for Karate, then $15 per lesson. If Rachel is taking lessons and wants to spend no more than $250, how many lessons can she take?
Answer:
14 lessons.
Step-by-step explanation:
Evaluate the expression: 2 ⋅ 6^2
Answer:
72
Step-by-step explanation:
6 x 6 x 2 = 72
Answer:
72
Step-by-step explanation:
hope this helps!
Layla is saving money to buy a bicycle that costs $249. She has already saved $193. She saves
$7 each week. Which inequality shows the solution set for the number of weeks that Layla will
need to save money to be able to buy the bicycle?
Answer: It would take her another 8 weeks to get a total of $249.
Step-by-step explanation: