1.2(3x+5)=3.6x+6
We move all terms to the left:
1.2(3x+5)-(3.6x+6)=0
We multiply parentheses
3.6x-(3.6x+6)+6=0
We get rid of parentheses
3.6x-3.6x-6+6=0
We add all the numbers together, and all the variables
=0
x=0/1
Hence, x = 0
the probability of observing a window given there is no window at its location is 0.2, and the probability of observing a window given there is a window is 0.9. after incorporating the observation of a window, what are the robot's new probabilities for being in
Updated Probabilities are: P(L1/W) = 0.341 & P(L1/w) = 0.949
Let W be the event that the robot's camera observes a window
It is given that the Probability of observing a window there is no window at its location is given 0.2
P(W/ L1) = 0.2 ( L1 which does not have a window)
Also, probability of observing a window is 0.9
P(W/ L2) = 0.9 ( L2 has window)
Now we have to find updated probabilities for the robot being in L1 i.e:- P(L1/W) & P(L1/w)
w means the camera does not observe a window.
By Bayes Rule,
P(L1/W) = P(L1)P(W/L1)/P(L1)P(W/L1)+P(L2)P(W/L2)
= (0.7x 0.2)/ (0.7x0.2) + (0.3x0.9)
= (0.14)/ 0.14+0.27
≈0.341 (rounded to 3. decimal places)
Thus the probability of being in L1 if the camera observes a window is nearly 0.341.
P(L1/w) = P(L1)P(w/L1)/P(L1)P(w/L1)+P(L2)P(w/L2)
As P(W/L1) = 0.2;
P(w/L1) = 1 - P(w/L1) = 1-0.2 = 0.8
Also P(W/L2) = 0.1;
P(w/L2) = 1 - P(w/L2) = 1-0.9 = 0.1
P(L1/w) = (0.7 X 0.8)/ (0.7X0.8) + (0.3X0.1)
=(0.56)/ (0.56+0.03) = (0.56/ 0.59)
≈ 0.949 (rounded to 3 decimal places).
Thus the probability of being in L1 if observe not the window is nearly 0.949.
Updated Probabilities are: P(L1/W) = 0.341 & P(L1/w) = 0.949
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Given a Figure whose points are A(4, 5), B(2, -1), C(0, 0), D(-4, -1).
What would be the image of that figure if it goes under a reflection across the x-axis, what is the coordinate
of A'?
A. A'(-4,-5)
B. A'(-4, 5)
C. A'(4, 5)
D. A'(4,-5)
Answer:
D
Step-by-step explanation:
(4,5) is 5 units above the x axis. So, D' will be 5 units below the x axis. This would be the point (4 -5)
Answer: The answer is D A (4,05)
(4,5) is 5 units above this x axis. because of that , D' will have 5 units below the x axis for this problem. therefore the point is (4 -5)
Please show me how to factorize this
[tex]5x {}^{3} - 9x {}^{2} - 17x - 3[/tex]
Answer:
(x - 3) (5x + 1)(x + 1).
Step-by-step explanation:
5x^3 - 9x^2 - 17x - 3
As the first coefficient is 5 and the last -3, so product is -15, we could try if (x-3) is a factor:
By the Factor Theorem, if x-3 is a factor then f(3) = 0.
f(3) = 5(3)^3 - 9(3)^2 - 17(3) - 3
= 135 - 81 - 51 - 3 = 0
So, x - 3 is a factor.
Now divide:
x - 3)5x^3 - 9x^2 - 17x - 3(5x^2 + 6x + 1 <------- Quotient
5x^3 - 15x^2
6x^2 - 17x
6x^2 - 18x
x - 3
x - 3
.......
Factoring 5x^2 + 6x + 1:
= (5x + 1)(x + 1)
So, the answer is:
(x - 3) (5x + 1)(x + 1).
10m +6 < 76 or -6 - 10m s≤ -86
Answer:
m < 7 or m ≥ 8Step-by-step explanation:
Given system10m + 6 < 76 or- 6 - 10m ≤ - 86Solve each inequality:
10m + 6 < 7610m < 76 - 610m < 70m < 7or
- 6 - 10m ≤ - 86- 10m ≤ - 86 + 6- 10m ≤ - 80m ≥ 8The answer is: m < 7 or m ≥ 8
Use the table to answer the question. Number of cases ordered Number of rolls of paper towels 1 12 3 36 5 60 10 120 A restaurant is placing an order for paper towels. The data table shows the amount of paper towel rolls compared to the number of cases. At which ratio in the data table does the constant of proportionality appear? Write your answer as an ordered pair
Paper towels are being ordered by a restaurant. The data table compares the number of cases to the quantity of paper towel rolls. 1:12 ratio does the proportionality constant appear at in the data table.
Given that,
There is a table.
Paper towels are being ordered by a restaurant. The data table compares the number of cases to the quantity of paper towel rolls.
We have to find what ratio does the proportionality constant appear at in the data table.
The table is
Number of cases ordered | Number of rolls of paper towels
1 | 12
3 | 36
5 | 60
10 | 120
Therefore, 1:12 ratio does the proportionality constant appear at in the data table.
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draw a model to represent 2 1/4 and write it as an improrer frrcation
The improper fraction equivalent of the fraction 2 1/4 is 9/4.
Improper fraction:
Basically, the improper fraction is also the fraction where the numerator is greater than or equal to the denominator.
Given,
Here we have the mixed fraction 2 1/4.
And we have to convert this mixed fraction into improper fraction.
The conversion from mixed fraction to an improper fraction will follow the following formula,
numerator = (denominator × whole number) + numerator of mixed fraction
Based on the this rule, the numerator of the improper fraction is,
=> numerator = (4 x 2) + 1
=> numerator = 8 + 1
=> numerator = 9
The denominator will remain same.
Therefore, the resulting improper fraction is 9/4.
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Find the sine, cosine, and tangent for the angle whose measure is pi/6...pi divided by 6.
Calculating the sine, cosine and tangent of the angle pi/6 (that is, 30°), we have that:
[tex]\begin{gathered} \sin (\frac{\pi}{6})=\frac{1}{2}_{} \\ \cos (\frac{\pi}{6})=\frac{\sqrt[]{3}}{2}_{} \\ \tan (\frac{\pi}{6})=\frac{\sin(\frac{\pi}{6})}{\cos(\frac{\pi}{6})}=\frac{\frac{1}{2}}{\frac{\sqrt[]{3}}{2}}=\frac{1}{\sqrt[]{3}}=\frac{\sqrt[]{3}}{3} \end{gathered}[/tex]-6 = -2/9w solve for w and simplify your answer as much as possible
Answer:
w = 27
Step-by-step explanation:
Solve for w: -6 = -2/9w
-6 = -2/9w
divide both sides by -2/9:
-6/(-2/9) = -2/9w/(-2/9)
27 = w
X 79°
y
Z
m
n
Helpppppppppppppppp
Step-by-step explanation:
79 degrees plus X would make 180 degrees, because these two angles make up a straight angle.
So, 79 + X = 180
-79 -79
X=101 degrees.
Y is 79 degrees because it is an alternate interior angle to the other 79 degree angle.
Z is 101 degrees because X and Z are corresponding angles, which means they are equal.
If Z is 101 degrees, Y must be 79 degrees because Y and X make up a straight angle.
Answer:
X is 101 degrees. Y is 79 degrees. Z is 101 degrees.
Hope this helped! :)
Using Cramer's Rule, the solution to the system of equations
6x - 5y = -4
-7x + 3y = -1
can be written in the form
( Dx , Dy )
( D D )
What is the value of D?
Answer's
Step-by-step explant
84 minutes for 32 songs = 42 minutes for _____
songs
Answer: 84 minutes for 32 songs= 42 minutes for 16 songs.
Step-by-step explanation: All I had to do was divide 84 by two and divide 32 by 2.
84/2=42
32/2= 16 songs.
Answer: 16 songs.
84 dived by 2 equals 42.
Do 32 divided by 2 and it gives us 16.
Which shape has an area of b1 + b2 • h ÷2?
Answer:
Trapezoid
Step-by-step explanation:
The area of this parallelogram is its height (half-height of the trapezoid) times its base (sum of the bases of the trapezoid)
when measuring for average, where should 17.3167 be rounded from?
It depends on the number of decimal points of the values from which we get the average.
Normally it must be rounded to the nearest tenth, 17.3
A z-score of z = −2.00 indicates a position in a distribution __________.
A- above the mean by a distance equal to 2 standard deviations
B- below the mean by 2 points
C- below the mean by a distance equal to 2 standard deviations
D- above the mean by 2 points
Answer:
C- below the mean by a distance equal to 2 standard deviations
Step-by-step explanation:
The Z-score, or standard score, is the number of standard deviations a given data point lies above or below the mean.The z-score is positive if the value lies above the mean, and negative if it lies below the mean.So, a z-score of z = −2.00 indicates a position in a distribution below the mean by a distance equal to 2 standard deviations.A function is shown. What is the value of f(–8)?
f(x) = 12 – 3x
*Type in your answer.
f(–8) =
Answer:36
Step-by-step explanation:
f(x)=12-3*(-8)
=36
How to solve? Please help i will give good rating.
Answer:
6. Draw a vertical line that goes though points (4,7) and (4,9). For a relation to be a function, each input has to have only one output. The input 4 cannot have the output of 7 and 9. This proves that this is not a function
7. The range is 91, 3, 6, 10 and 15)
Step-by-step explanation:
The range is the answer if you put in the x for range that they give you.
For example:
x ( x+ 1)/2 If I put in 1 for x, I will get
1(1+1)/2
2/2
1
When the input is 1, the output is one. You that for each of the domains given and you will find the ranges (outputs) that I have written above.
The average price of a certain model of pickup truck in 1992 was $12,500. In 2013, the average price of the pickup truck was $22,000. What is the percentage increase in the average price of the pickup truck?
The average price in 1992 and 2013 was given. It is required to find the percentage increase in the average price over these years.
Recall that the formula for Percentage Increase is:
[tex]\text{percent increase}=\frac{\text{final price-initial price}}{\text{initial price}}\times100\%[/tex]Substitute initial price=12500 and final price= 22000 into the formula:
[tex]\begin{gathered} \text{percent increase}=\frac{22000-12500}{12500}\times100\%=\frac{9500}{12500}\times100\%=0.76\times100\% \\ \Rightarrow\text{percent increase}=76\% \end{gathered}[/tex]Hence, the percent increase in the average price is 76%.
Answer:
depends on whether or not the dealerships are scammers
Step-by-step explanation:
help!!
I'm not sure if i'm right...
are these the steps to solve for x?
-5 *4 +3 /2
Yes, you are right!
First of all, we will subtract [tex]5[/tex] from each side.
[tex]\frac{2x-3}{4}=5[/tex]Then we multiply both sides by [tex]4[/tex].
[tex]2x-3=20[/tex]Then add [tex]3[/tex] to each side.
[tex]2x=23[/tex]Finally, we divide each side by [tex]2[/tex].
[tex]x=\frac{23}{2}=11.5[/tex][tex]\boldsymbol{\sf{\cfrac{2x-3}{4}+5=10 }}[/tex]
Multiply the two sides of the equation by 4.
2x - 3+20 = 40
Add −3 and 20 to get 17.
2x+17 = 40
It remains 17 on both sides.
2x = 40−17
Subtract 17 of 40 to get 23.
2x = 23
Divide both sides by 2.
[tex]\boldsymbol{\sf{x=\dfrac{23}{2} \ \ \longmapsto \ Answer }}[/tex]
2000x2400 need the answer
Answer: 4,800,000
Step-by-step explanation: 2 times 24 is 48 then there is 3 zeros in 2000 and 2 zeros in 2400 so just add those on to the end of 48 and then you get your final answer of 4,800,000.
Rhoni reads at a rate of 75 pages per hour. The number of pages Rie reads over time is shown in the table.
A table with two rows and five columns is shown. The first row is Time in hours. The second row is number of pages. Three hours, one hundred ninety-five pages. Five hours, three hundred twenty-five pages. Nine hours, five hundred eighty-five pages. Ten hours, six hundred fifty pages.
Question 1
Part A
Who has a greater rate of reading?
Select the answers from the drop-down lists to correctly complete the sentence.
The individual that has a greater rate of reading is Rhoni.
Who has a greater rate of reading?Rate measures how fast a person is reading a book. Rate is the total pages read per time. Rate is determined by dividing total pages read by the total time spent reading.
Division is the operation used in mathematics that is used to determine the quotient of two or more numbers. It entails grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.
Rie's rate = pages read / time
195 / 3 = 65 pages per hour
325 / 5 = 65 pages per hour
Rie's rate is 65 pages per hour. While Rhoni's rate is 75 pages per hour. This means that Rhoni reads faster than Rie.
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2x²-11x-21=0.using factorization method
The factors of the quadratic equation are found as the 7 and -3/2
What is termed as the factorization method?To factorize a number, use the factorization formula. Factorization is defined as the process of converting one entity into the a product of another entity, as well as factors, that when multiplied together yield the original number. The factorization method employs the basic factorization formula to simplify any algebraic and quadratic equation, where the equations are depicted as the product of factors rather than expanding the brackets.For the given question, the quadratic equation is give as;
2x² - 11x - 21 = 0
Find the factors of -21×2 = 42 such that on subtraction it gives -11.
2x² - 14x + 3x - 21 = 0
Take 2x common from the first two terms and 3 from the last two terms.
2x(x - 7) + 3(x - 7) = 0
Take (x - 7) common from the terms.
(x - 7)(2x + 3) = 0
Then,
x - 7 = 0
x = 7
and, 2x + 3 = 0
x = -3/2
Thus, the factors of the quadratic equation are found as the 7 and -3/2.
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1 pts for spring break you and some friends plan a road trip to a sunny destination that is 1705 miles away. if you drive a car that gets 39 miles per gallon and gas costs $3.339/gal, about how much will it cost to get to your destination?
Answer:
woooooowwoowww your terrible
Step-by-step explanation:
gude
I need help asap and the coordinates are (1,3) (6,5)
I need the equation in point slope using either point I NEED HELP ASAPP
Answer: the Equation is y-3=0.4(x-1) or y-5=0.4(x-6).
Step-by-step explanation: I hope this helps.
arie is driving from the usa into canada. she notices that all of the canadian speed limit signs are in kilometers per hour; her odometer only displays miles per hour. how many kilometers per hour is she driving when the odometer reads 19 miles per hour?
8/13 x 3 =
SHOW YOUR WORKl
8/13 x 3/1 = 24/13
24 - 13 =11
So, simplified answer is 1 11/13 or 24/13
Hope this helps!
jon's bathtub is rectangular and its base is 18 ft2. how fast is the water level rising if jon is filling the tub at a rate of 0.6 ft3/min? (use decimal notation. give your answer to three decimal places.)
Jon's bathtub exists rectangular and its base exists 18 ft². The water level rising if Jon is filling the tub at a rate of 0.2 ft³/min is 0.011 ft/min.
What is meant by differential equation?A differential equation in mathematics exists an equation that links the derivatives of one or more unknown functions. Applications often involve functions that reflect physical quantities, derivatives that depict the rates at which those values change, and a differential equation that establishes a connection between the three.
If we take a look at a rectangular bathtub, the volume of the bathtub can be expressed as:
Volume (V) = length × breadth × height
where; base = length × breadth = 18ft²
The volume of the rectangular bathtub = 18h ......... (1)
Using differentiation to differentiate 18h with respect to t implicitly, then:
[tex]$\frac{\mathrm{dV}}{\mathrm{dt}}=18 \frac{\mathrm{dh}}{\mathrm{dt}}$$[/tex]
When the rate of rising of the volume is 0.2 ft² / min
[tex]$0.2=18 \frac{\mathrm{dh}}{\mathrm{dt}}$$[/tex]
substitute the values in the above equation, we get
[tex]$\frac{\mathrm{dh}}{\mathrm{dt}}=\frac{1}{18} \times(0.2)$$[/tex]
[tex]$\frac{\mathrm{dh}}{\mathrm{dt}}=0.011 \mathrm{ft} / \mathrm{min}$$[/tex]
Therefore, we can conclude that the rate at which the water level rises if Jon is filling the tub at 0.2 ft³/min exists 0.011 ft/ min.
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sin(40 + 2°) csc(30 + 5°) = 1
sin(40 + 2°) cosec(30 + 5°) = 1 we proved that by the values.
Given,
sin(40 + 2°) cosec(30 + 5°) = 1
To prove the trigonometry function equal to 1.
Now, According to the question:
We know that
Sin 42° = 0.66913061
Cosec 35° = 1.7434468
sin(40 + 2°) cosec(30 + 5°) = 1
sin 42° × cosec 35° = 1
Plug the values of sin and cosec in above function:
0.66913061 × 1.7434468
= 1.16659
But we take the before decimal value i.e., 1
Hence, sin(40 + 2°) cosec(30 + 5°) = 1 we proved that by the values.
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A pet hotel charges $25 per night to keep a dog. When the dog arrives, there is a mandatory $15 examination fee. Part A: Write a function rule for the total cost T, including the mandatory examination, for a dog to stay at the hotel for n days. Part B: How much would a 6 night stay cost? Part C: Does a 3 night stay cost half as much as a 6 day stay since it is half the time? Explain in detail!
A) A function rule for the total cost T, including the mandatory examination, for a dog to stay at the hotel for n days is; T = 25n + 15
B) The total cost to stay for 6 nights is; $165
C) No, 3 night does not cost half as much as the cost for 6 nights due to the addition mandatory cost of $15.
How to solve algebra word problems?We are told that a pet hotel charges $25 per night to keep a dog. We are also told that there is a mandatory $15 examination fee when the dog arrives there.
A) If the number of nights spent is n, then the function rule here for the total cost is;
T = 25n + 15
B) We are told that the number of nights is 6 nights. Thus, we will just plug in 6 for n into the total cost equation to get;
T(6) = 25(6) + 15
T(6) = $165
C) The cost of 3 nights would be;
T(3) = 25(3) + 15
T(3) = $90
This is more than half of the cost of 6 nights.
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A plant s 6.2cm tall.
The height of the plant increases by 11% each week
Find how tall the plant will be after 2 weeks
The height of plant will be 7.56cm tall after 2 weeks
How to calculate the height of the plant ?The original height of the plant is 6.2cm
The height increases by 11% each week
= 11/100
= 0.11
The increase of the plant in a week
= 0.11 × 6.2
= 0.682
The height of the plant after two weeks can be calculated as follows
= 0.682 + 0.682
= 1.364
= 6.2 + 1.364
= 7.56
Hence the height of the plant after 2 weeks is 7.56cm
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The price of an item has risen to $300 today. Yesterday it was $125. Find the percentage increase.
Answer:
140
Step-by-step explanation:
