Answer:
A. The variable is quantitative because gallons is found by measuring or counting.
Can you help me with this, please? Thanks in advance
Answer:
∠TRU is supplementary with ∠PQS as SQ║TR.
Supplementary angles add up to 180°.
m∠TRU = 180° - 82° = 98°Consider ΔRTU
∠RUV is exterior angle and therefore is sum of ∠TRU and ∠RTU:
m∠TRU + m∠RTU = m∠RUV98° + m∠RTU = 155°m∠RTU = 155° - 98° = 57°<TRU
180-<PQS180-8298°Sum of 2 interiors =exterior
<RTU
155-9857°Determine if events A and B are independent.
P(A) = 9/20 P(B) = 7/10 P(A and B) = 63/200
A) Dependent
B) Independent
Answer:
B) Independent
Step-by-step explanation:
Independent events:
Two events, A and B are independent, if:
[tex]P(A \cap B) = P(A) \times P(B)[/tex]
In this question:
[tex]P(A \cap B) = \frac{63}{200}[/tex]
[tex]P(A) \times P(B) = \frac{9}{20}*\frac{7}{10} = \frac{9*7}{20*10} = \frac{63}{200}[/tex]
Since [tex]P(A \cap B) = P(A) \times P(B)[/tex], these events are independent.
I’ll give brainliest if correct!
Question 16 of 43
For the data set 9, 13, 14, 15, 15, 18, the mean is 14. What is the mean
absolute deviation?
O A. The mean absolute deviation is 14.
O B. The mean absolute deviation is 12.
O C. The mean absolute deviation is 2.
D. The mean absolute deviation is 6.
Answer:
C. The mean absolute deviation is 2.
Step-by-step explanation:
In order to find the mean absolute deviation, follow the following steps:
Find the absolute distance of each data from the mean. Add the distances so obtained Divide the sum by no of given data to get the mean absolute deviation.Let's work it out.
STEP: 1
|9 - 14| = 5
|13 - 14| = 1
|14 - 14| = 0
|15 - 14| = 1
|15 - 14| = 1
|18 - 14| = 4
STEP: 2
5 + 1 + 0 + 1 + 1 + 4 = 12
STEP: 3
Mean Absolute deviation [tex] =\frac{12}{6}= 2[/tex]
Please help me answer this ASAP!
Answer: z=25 x=114
Step-by-step explanation:
Complete the table to find the MAD of the data set.
Answer:
15
Step-by-step explanation:
 what is the average of 55 75 20 46 60
Answer:
51.2
Step-by-step explanation:
y″+ 5y′ + 6y = 3δ(t − 2) − 4δ(t −5); y(0) = y′′(0) = 0
Answer:
y(t) = 3u₂(t) [ [tex]e^{-2t+4} - e^{-5t + 10)}[/tex] ] - 4u₅(t) [ [tex]e^{-2t+10)} - e^{-5t + 25)}[/tex] ]
Step-by-step explanation:
To find - y″+ 5y′ + 6y = 3δ(t − 2) − 4δ(t −5); y(0) = y′(0) = 0
Formula used -
L{δ(t − c)} = [tex]e^{-cs}[/tex]
L{f''(t) = s²F(s) - sf(0) - f'(0)
L{f'(t) = sF(s) - f(0)
Solution -
By Applying Laplace transform, we get
L{y″+ 5y′ + 6y} = L{3δ(t − 2) − 4δ(t −5)}
⇒L{y''} + 5L{y'} + 6L{y} = 3L{δ(t − 2)} − 4L{δ(t −5)}
⇒s²Y(s) - sy(0) - y'(0) + 5[sY(s) - y(0)] + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒s²Y(s) - 0 - 0 + 5[sY(s) - 0] + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒s²Y(s) + 5sY(s) + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒[s² + 5s + 6] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒[s² + 3s + 2s + 6] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒[s(s + 3) + 2(s + 3)] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒[(s + 2)(s + 3)] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒Y(s) = [tex]\frac{3e^{-2s} }{(s + 2)(s + 3)} - \frac{4e^{-5s} }{(s + 2)(s + 3)}[/tex]
Now,
Let
[tex]\frac{1}{(s+2)(s+3)} = \frac{A}{s+2} + \frac{B}{s+3} \\\frac{1}{(s+2)(s+3)} = \frac{A(s + 3) + B(s+2)}{(s+2)(s+3)}\\1 = As + 3A + Bs + 2B\\1 = (A+B)s + (3A + 2B)[/tex]
By Comparing, we get
A + B = 0 and 3A + 2B = 1
⇒A = -B
and
3(-B) + 2B = 1
⇒-B = 1
⇒B = -1
So,
A = 1
∴ we get
[tex]\frac{1}{(s+2)(s+3)} = \frac{1}{s+2} + \frac{-1}{s+3}[/tex]
So,
Y(s) = [tex]3e^{-2s}[ \frac{1}{(s + 2)} - \frac{1}{(s + 3)}] - 4e^{-5s}[ \frac{1}{(s + 2)} - \frac{1}{(s + 3)}][/tex]
⇒Y(s) = [tex]3e^{-2s} \frac{1}{(s + 2)} - 3e^{-2s} \frac{1}{(s + 3)} - 4e^{-5s}\frac{1}{(s + 2)} + 4e^{-5s}\frac{1}{(s + 3)}[/tex]
By applying inverse Laplace , we get
y(t) = 3u₂(t) [ [tex]e^{-2(t-2)} - e^{-5(t - 2)}[/tex] ] - 4u₅(t) [ [tex]e^{-2(t-5)} - e^{-5(t - 5)}[/tex] ]
⇒y(t) = 3u₂(t) [ [tex]e^{-2t+4} - e^{-5t + 10)}[/tex] ] - 4u₅(t) [ [tex]e^{-2t+10)} - e^{-5t + 25)}[/tex] ]
It is the required solution.
By what percent will the product of two numbers decrease if one of them is decreased by 20% and the other is decreased by 50%?
Answer:
(x - .20)(x - .50)
[tex]x^{2}[/tex] = (.20)(.50)
[tex]x^{2}[/tex] = 0.1
x = [tex]\sqrt{ .1[/tex]
x = .32
the product of two numbers decrease by 32%
9k - 18 = - 6 Can you help with this Plzzzz!!!
Answer:
Step-by-step explanation:
im assuming were solving for k so we wanna get it by itself
9k - 18 = -6
start by adding 18 to both sides
9k = 12
then divide both sides by 9
k = 12/9
hope this helps <3
Answer:
the answer is
k= 4/3
Step-by-step explanation:
9k-18=-6
9k=-6+18
9k=12
k= 12/9
simplify it which gives k=4/3 or in decimal form 1.333
What is the area of the triangle?
Answer:
144.5
Step-by-step explanation:
Area of a triangle = one half of the base length times the height
The given base length is 17 cm and the given height is 17 cm
Hence, area = [tex]\frac{17*17}{2}[/tex]
17 * 17 = 289
289 / 2 = 144.5
Area = 144.5cm²
Answer: 144.5
Step-by-step explanation:
The answer is correct because, the formula of a triangle is base times height divided by 2. Since the base and height is 17, we multiply 17 times 17. The answer for 17 times is: 289. Now we have to divide it by two. 289 divided by 2 equals: 144.5.
Hope This Helps!
Help with this question!Please
Step-by-step explanation:
The given angle is a 90° . Therefore the sum of both angles is 90° .
> 40 + x = 90
> x = 90 - 40
> x = 50
Solution 2 ;-
> 20 + x = 90
> x = 70
HELPIn order to find the percentage of households in a town that own more than one vehicle, a survey asks 1000 randomly selected drivers at a
gas station how many vehicles are owned in their household. From the results of the survey, it is reported that 67% of households in the town
have more than one vehicle.
Why is this report biased?
Answer:
This report is biased because most people drive to gas stations.
Step-by-step explanation:
The distance to a gas station is often further than walking distance. Therefore, most people will take a car because it's quicker, and most people go to gas stations to get gas.
Hi help me out thank youu love
Answer:
636
Step-by-step explanation:
SA=2LW+2LH+2WH
SA= 2(12)(10)+2(12)(9)+2(10)(9)= 636
Answer:
The answer is 636
Step-by-step explanation:
Brainliest maybe?
:)
Solve for the angle denoted by the "?". Round to the nearest tenth.
====================================================
Explanation:
Let x be the reference angle where the question mark is located.
Opposite this angle x is 27. The adjacent side is 38.
Use the tangent ratio to tie the two sides together
tan(angle) = opposite/adjacent
tan(x) = 27/38
x = arctan(27/38)
x = 35.3947958 .... which is approximate
x = 35.4
Be sure that your calculator is in degree mode. The notation "arctan" refers to "arctangent" which is the same as inverse tangent. Your calculator should have a button labeled [tex]\tan^{-1}[/tex] to help compute this.
Write the equation of the line that passes through the points (8, -1) and (2,-5) in standard form, given that the point- slope form is y + 1 = (x – 8).
Answer:
B?
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Answer:
The answer is 2x + -3y = 19
Step-by-step explanation:
no idea what the guy on top is saying
Find one value of x for which h(x)=4 and find h(4)
34 is not solution because it is less than 35
Answer:
True very true
Step-by-step explanation:
Why did the physiocrats oppose mercantilism?
The physiocrats wanted a nation to import more goods than it exported.
The physiocrats thought that nations should accumulate bronze, not gold and silver.
Mercantilism worked for the common good.
Mercantilism allowed for government regulation of trade, which interfered with natural market forces.
Answer:
Mercantilism allowed for government regulation of trade, which interfered with natural market forces.
Which of these describes a unique polygon?
A quadrilateral with 3 sides lengths 5 inches long
A triangle with a side length of 6 inches, 7 inches, and 8 inches
A triangle with angles 30, 60, and 90
A triangle with side lengths 5 cm and 4 cm and a 70 angle
a number is 3 1/3 greater than another. If the sum of the numbers is doubled, the result is 19 1/2. What is the smaller number
Answer:
77/24
The answer for this question is 77/24
A line passes through the points (4, 9) and (-9, -5).
Find the slope of the line.
Answer:
14/13=1.08 (rounded up)
Step-by-step explanation: Change in Y/ Change in x
Name the special segment.
Answer:
Perpendicular bisector
Step-by-step explanation:
Have a great day!!
find the degree of the polynomial 2x3+x4-3x+5
Answer:
7x+5
Step-by-step explanation:
or, 2x3+x4-3x+5
or, 6x+x4-3x+5
or, 10x-3x+5
or, 7x+5
What is the value of this expression?
-9= 3 x [6 x 3 – (1 + 4)]
A. -63
B. -59
O C. -51
D. -39
Answer:
I think it's -51
Step-by-step explanation:
I'm not entirely sure. But it is my best guess.
Justin bought 4 dozen
cupcakes for a party. How
many cupcakes did he buy?
Answer:
48
Step-by-step explanation:
One dozen is 12.
12 x 4 = 48
Trey has three pairs of Vans, two pairs of Nikes, and four pairs of Adidas shoes in his shoe bin. One morning, the electricity went out and Trey pulls two shoes at random. Remember each pair of shoes counts as 2 shoes.
a) What is the probability that he pulls out two adidas shoes without replacement? Round your answer to the nearest tenth of a percent.
%
b) What is the probability that he pulls out a Vans, decides that's not what he wants, so he replaces it then pulls out two Nike shoes?
Round your answer to the nearest tenth of a percent.
%
Answer: A) 40%
B)30%
Step-by-step explanation:
A) becase 4/9 as a percentage is 0.444444% and I rounded it to 0.4% then turned it into 40% cause its outta 100
MARK AS BRAINLEIST
Evan and two friends go to a farm to pick strawberries. Evan records the number of baskets of strawberries that each person picks in a table.
Evan forgot to record how many strawberries he picked, but he knows that it was the same amount as Jerry and Ann combined.
hi they but you didn't put the number in for jerry and ann
Step-by-step explanation:
add ann and jerry E= 15 + 12 = 27 so that means that Evan is picked 27 strawberries
Find the value of x. Round the length to the nearest tenth of a unit.
Please help!
Answer:
take 40 degree as reference angle
using tan rule
tan 40 =p/b
0.83=900/x
0.83x=900
x=900/0.83
x=1084.33
x=1084.3(after rounding off to the nearest tenth)
Step-by-step explanation:
A taxi driver from a certain company charges $ 150 for stopping and loading passengers and then $ 30 for every kilometer traveled.
a) Determine the linear function that relates the fare and the kilometers
tours.
b) How much should a person who travels 20km pay?
Let x be the number of kilometers traveled by a person in the taxi.
Answer:
a) linear function = 150 + 30x represents 1km
and 150 + 60x represents 2km We can therefore remove the ones and even factor 15 and 3 into
3(5+1x)
b) y = 2/3x + 225
Can be factored from 2/3 (30x+75) and simplified to 2/3(3x+15/2)
Step-by-step explanation:
if 150 stop and 30 for each mile
we show zero on each axis and show the y intercept at 150
The X axis should determine time or distance travelled
So if showing distance we show miles in 10,20,30,40,
and costs 0,30,60,90 but if 150 applies to any passengers entering vehicle and all journeys then we start graph at $ cost = 150 and go up by 30 showing 150.180.210.240 for the data for the y axis/
Therefore 20k is 2/3 km and we can show 2/3 as our multiple.
2/3 of 225 is 150 to find we flip 3/2 x 150 = 225
y = 2/3 ( 30x + 225) and we have our equation for b
y = 2/3x + 225
Express as a trinomial.