In the diagram,
AB =BC,AC = CD, and AD
12. Find the
lengths of all segments in the diagram. Suppose you
choose one of the segments at random. What is the
probability that the measure of the segment is greater
than 3? Explain your reasoning.
Answers
Answer:
Probability that the measure of a segment is greater than 3 = 0.6
Step-by-step explanation:
From the given attachment,
AB ≅ BC, AC ≅ CD and AD = 12
Therefore, AC ≅ CD = [tex]\frac{1}{2}(\text{AD})[/tex]
= 6 units
Since AC ≅ CD
AB + BC ≅ CD
2(AB) = 6
AB = 3 units
Now we have measurements of the segments as,
AB = BC = 3 units
AC = CD = 6 units
AD = 12 units
Total number of segments = 5
Length of segments more than 3 = 3
Probability to pick a segment measuring greater than 3,
= [tex]\frac{\text{Total number of segments measuring greater than 3}}{Total number of segments}[/tex]
= [tex]\frac{3}{5}[/tex]
= 0.6
Related Questions
Solve the matrix equation for a, b, c, and d. [1 2] [a b] [6 5][3 4] [c d]= [19 8]
Answers
Answer:
The answer is "[tex]\bold{\left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}7&-2\\ -\frac{1}{2}&\frac{7}{2}\end{array}\right]}[/tex]".
Step-by-step explanation:
[tex]\bold{\left[\begin{array}{cc}1&2\\3&4\end{array}\right] \left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}6&5\\ 19&8\end{array}\right]}[/tex]
Solve the L.H.S part:
[tex]\left[\begin{array}{cc}1&2\\3&4\end{array}\right] \left[\begin{array}{cc}a&b\\c&d\end{array}\right]\\\\\\\left[\begin{array}{cc}a+2c&b+2d\\3a+4c&3b+4d\end{array}\right][/tex]
After calculating the L.H.S part compare the value with R.H.S:
[tex]\left[\begin{array}{cc}a+2c&b+2d\\3a+4c&3b+4d\end{array}\right]= \left[\begin{array}{cc}6&5\\ 19&8\end{array}\right]} \\\\[/tex]
[tex]\to a+2c =6....(i)\\\\\to b+2d =5....(ii)\\\\\to 3a+4c =19....(iii)\\\\\to 3b+4d = 8 ....(iv)\\\\[/tex]
In equation (i) multiply by 3 and subtract by equation (iii):
[tex]\to 3a+6c=18\\\to 3a+4c=19\\\\\text{subtract}... \\\\\to 2c = -1\\\\\to c= - \frac{1}{2}[/tex]
put the value of c in equation (i):
[tex]\to a+ 2 (- \frac{1}{2})=6\\\\\to a- 2 \times \frac{1}{2}=6\\\\\to a- 1=6\\\\\to a =6 +1\\\\\to a = 7\\[/tex]
In equation (ii) multiply by 3 then subtract by equation (iv):
[tex]\to 3b+6d=15\\\to 3b+4d=8\\\\\text{subtract...}\\\\\to 2d = 7\\\\\to d= \frac{7}{2}\\[/tex]
put the value of d in equation (iv):
[tex]\to 3b+4 (\frac{7}{2})=8\\\\\to 3b+4 \times \frac{7}{2}=8\\\\\to 3b+14=8\\\\\to 3b =8-14\\\\\to 3b = -6\\\\\to b= \frac{-6}{3}\\\\\to b= -2[/tex]
The final answer is "[tex]\bold{\left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}7&-2\\ -\frac{1}{2}&\frac{7}{2}\end{array}\right]}[/tex]".
Gift tax falls under which tax category?
a. Payroll tax
b. Property tax
c. Purchase tax
d. Wealth tax
Answers
Answer:
D. Wealth tax
Step-by-step explanation:
The gift comes under the category of wealth tax. Then the correct option is D.
What is Wealth-tax?The entire or market worth of personal assets was subject to a wealth tax. Wealth tax, also known as capital tax or equity tax, was levied on the wealthy.
Specifically defined assets were subject to the wealth tax, including gifts, automobiles, jewelry, bullion, yachts, boats, and airplanes (save those used for business purposes), urban land, and cash in hand over a certain sum.
More about the Wealth-tax link is given below.
https://brainly.com/question/2420102
#SPJ2
Which of the following is not true about the process of statistics?
A. Data are typically collected from a sample because it is too difficult and expensive to collect data from an entire population
B. The first step in the process of statistics is to collect the data.
C. When the results from a sample are extended to the population, it is called inference.
D. If data are not collected properly, the conclusions that are drawn will be meaningless
Answers
Answer:
Option B.
Step-by-step explanation:
From the given statements the true about the process of statistics. are:
1. Data are typically collected from a sample because it is too difficult and expensive to collect data from an entire population.
2. When the results from a sample are extended to the population, it is called inference.
3. If data are not collected properly, the conclusions that are drawn will be meaningless.
But, the first step in the process of statistics is to collect the data. This is not true about the process of statistics because the first step in the process of statistics is identify the research objective.
Therefore, the correct option is B.
The statement about the process of statistics that is not correct is: B. The first step in the process of statistics is to collect the data.
The Process of StatisticsThe first step in a statistical process is to first determine the research objective.Next is to draw a sample that represents the population under study from which to collect data from.The data collected from the sample is then analyzed and interpreted in order to make inference about the population that was studied.The meaningfulness and soundness of the conclusions drawn depends on how accurate the data collected are.Therefore, the statement about the process of statistics that is not correct is: B. The first step in the process of statistics is to collect the data.
Learn more about the process of statistics on:
https://brainly.com/question/9547279
For a regular 15-sided polygon, what is the degree of rotation?
Answers
Answer:
360/15 = 24
Step-by-step explanation:
Least to greatest is the same as ascending order or descending order?
Answers
Answer:
It is the same as ascending order
Step-by-step explanation:
It is the same as ascending order becuase Least is small and Greatest is big so you are going upwards.
Hope This Helps :)
Answer:
Ascedning order
Step-by-step explanation:
Decend typically means "go down", in this case greatest to least goes from the biggest number to the smallest ( go down from biggest to smallest). Ascending means to "rise" or "go up", so to starts at the smallest value ascedning to the biggest value.
least to greatest = ascending
greatest to least = descending
If m rst= 12x-1, m rsu = 9x-15 and m ust = 53 find each measure
Answers
Answer:
x = 13
m<RST = 155°
m<RSU = 102°
Step-by-step explanation:
m<RST = (12x - 1)°
m<RSU = (9x - 15)°
m<UST = 53°
m<UST + m<RSU = m<RST (angle addition postulate)
53 + (9x - 15) = (12x - 1) (substitution)
Solve for x
53 + 9x - 15 = 12x - 1
53 - 15 + 9x = 12x - 1
38 + 9x = 12x - 1
Subtract 12x from each side
38 + 9x - 12x = 12x - 1 - 12x
38 - 3x = - 1
Subtract 38 from each side
38 - 3x - 38 = -1 - 38
-3x = -39
Divide both sides by -3
x = 13
m<RST = (12x - 1)°
Plug in the value of x
m<RST = 12(13) - 1 = 156 - 1 = 155°
m<RSU = (9x - 15)°
m<RSU = 9(13)x - 15 = 117 - 15 = 102°
The measures of each angle are:
m<RSU = 102°
m<RST = 155°
m<UST = 53°
The given parameters are:
m<RST = (12x - 1)°
m<RSU = (9x - 15)°
m<UST = 53°
Note that:
m<RST = m<RSU + m<UST
Substitute m<RST = 12x - 1, m<RSU = 9x - 15, and m<UST = 53 into the equation above in order to solve for x
m<RST = m<RSU + m<UST
12x - 1 = 9x - 15 + 53
12x - 9x = -15 + 53 + 1
3x = 39
x = 39/3
x = 13
To find the measure of <RST, substitute x = 3 into m<RST = 12x - 1
m<RST = 12(13) - 1
m<RST = 155°
To find the measure of <RSU, substitute x = 3 into m<RSU = 9x - 15
m<RSU = 9(13) - 15
m<RSU = 102°
Learn more on angles here: https://brainly.com/question/14362353
NEED ANSWER NOW!!! Steven has one bag that contains three table tennis balls numbered 1, 2, and 3. He also has a second bag that contains four table tennis balls lettered A, B, C, and D. Suppose Steven combined the table tennis balls into one large bag instead of two individual bags. What would be the P(1, B) without replacement?
Answers
Answer:
P(1, B) = 1/12
Step-by-step explanation:
if given one group of 3 objects, in this case tennis balls labeled 1, 2, and 3. And another group of 4 objects, labeled a, b, c, and d. the combined probability would be 1/3 * 1/4 = 1/12. This is because there is a 1/3 chance of picking one particular object from a set of 3 total objects, and a 1/4 chance of picking one particular object from a set of 4 total objects.
The probability of drawing 1 numbered ball in the first attempt and then drawing B numbered ball in the second attempt is 1/42.
What is conditional probability ?Conditional probability is when occurrence of an event depends upon the occurrence of another event.In case of without replacement one event is dependent on another.
According to the given question
Steven has one bag that contains three table tennis balls numbered 1, 2, and 3. He also has a second bag that contains four table tennis balls lettered A, B, C, and D and Steven combined the table tennis balls into one large bag instead of two individual bags.
Here we don't need to find the probabilities individual bags.
So after he combined them into one large bag there are 7 balls in that large bag namely 1, 2, 3, A, B, C, D
P(1) = 1/7
with without replacement there is now 6 balls in the large bag
∴ p(B) = 1/6
So the probability of drawing 1 numbered ball in the first attempt and then B numbered ball in the second attempt is p(1)p(B)
∴P(1,B) is
= (1/7)×(1/6)
= 1/42.
Learn more about probability here :
https://brainly.com/question/743546
#SPJ2
A survey of 100 people found that 35 people exercise in the morning, 45 people exercise in the afternoon, and 20 people exercise at night. Tara claims that 35:55, 45:80, and 20:65 are possible ratios from this data. Jim claims that 35:100, 45:100, and 20:100 are possible ratios from this data. Who is correct? Explain. explain it short cus im not typing all that.
Answers
Answer:
geometric progression
Step-by-step explanation:
RICHIE! ANSWER MY COMMENTS!
WILL GIVE BRAINLIEST !!!!!!!!!
Elevator Task: Tyler’s soccer team is staying at a high-rise hotel in San Diego for a tournament. Tyler leaves his hotel room and gets on the elevator to gather his team. He goes down 6 floors to Ethan’s room and then up 4 floors to Jose’s room. Next they go up 5 floors to get their coach, and then they go down 8 floors to the assistant coach’s room. Lastly, they go down 3 floors and end up in the lobby. What floor is Tyler’s hotel room on?
Answers
Answer:
8
Step-by-step explanation:
x-6+4+5-8-3=0
x-8=0
x=8
Evaluate 5w + 1p for w = 3 and p =
- 6
Answers
Answer:
9
Step-by-step explanation:
We are given the expression:
[tex]5w+1p[/tex]
and asked to evaluate for w=3 and p= -6. Therefore, we must substitute 3 in for w and -6 in for p.
[tex]5(3)+1(-6)[/tex]
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.
Multiply 5 and 3.
⇒ 5*3=15
[tex]15+1(-6)[/tex]
Multiply 1 and -6.
⇒1*-6= -6
[tex]15 + -6[/tex]
Add 15 and -6.
⇒ 15 + -6= 15-6= 9
[tex]9\\[/tex]
The expression 5w+1p when evaluated for w=3 and p= -6 is 9
If an exterior angle of a regular polygon is 21.2º, how many sides does the polygon have?
Answers
Answer:
option 4. 17
Step-by-step explanation:
sum of angles = exterior angle x n
360° = 21.2° n
n = 360 / 21.2
n = 17
Number of sides of the regular polygon with exterior angle 21.2° is equals to 17 sides.
What is polygon?" Polygon is defined as the two dimensional geometric shape which has n number of finite sides."
Formula used
360° = (Exterior angle of polygon ) × ( number of sides of polygon)
According to the question,
Given,
Exterior angle of a regular polygon = 21.2º
'n' represents the number of sides
Substitute the value in the formula to get number of sides,
[tex]360\°= (21.2\°) (n)[/tex]
⇒ [tex]n = \frac{360\°}{21.2\°}[/tex]
⇒ [tex]n= 16.98[/tex]
⇒ n≈ 17 sides
Hence, number of sides of the regular polygon with exterior angle 21.2° is equals to 17 sides.
Learn more about polygon here
https://brainly.com/question/10441863
#SPJ3
Question 3 (25 points)
A church group interested in promoting volunteerism in a community chooses an SRS of 200 community addresses and
sends members to visit
these addresses during weekday working hours to inquire about the residents attitudes toward volunteer work. Sixty percent of all
respondents say that they would be willing
to donate at least an hour a week to some volunteer organization. Bias is present in this sample
design. Identify the type of bias involved and state whether you think the
sample percent obtained is higher or lower than the true population
percent.
Answers
Answer:
if the polling were done during working hours, those who work outside the home would not be included-undercoverage of the groupe. the 60% is probably higher than the true population proportion. face-to-face visits might make those at home likely to say they would volunteer.
Step-by-step explanation:
if I eat 230 gumballs and there was a total of 1696 and my friend takes the rest of the 1760 gumballs. how did we get 1760 if there was 1696 and I ate 230. how many gumballs was added?
Answers
294 gumballs were added because if u subtract 230 from 1696 you get 1466 which was the number you had when you are 230 gumballs so you take 1466 and subtract it from 1760 you get the amount of gumballs that was added.
just like this other lady said 294 gumballs were added
PLEASE HELP ILL GIVE BRAINLIEST
Answers
Answer:
27.
Step-by-step explanation:
If x >= 4 then f(x) = 5x - 3.
So, as 6 is greater than 4 we have
f(6) = 5(6) - 3
= 30 - 3
= 27.
Yuki walked and ran for 3 1/4 hours at an average of 4 miles per hour. How far did she go?
Answers
Answer:
13 miles
Step-by-step explanation:
3 1/4 can be changed to 3.25
Then multiply 3.25 (the time) and 4 (the distance per hour) to get 13.
Answer:
She walked 7 miles. If it takes her one hour to walk 4 mile, then it will take 45 hours to walk 3 miles.
Step-by-step explanation:
Plz Mark me as brainliest
If you travel 70000 M at a rate of 25 m/s and , how long does it take to complete the trip?
Answers
Answer:
Time=2800 seconds.
Time in minutes= 46.67 minutes
Time in hours= 0.778 hours
Step-by-step explanation:
Distance traveled= 70000 m
Rate or speed of travel= 25m/s
To calculate the time for the travel, we multiply the rate of travel by the distance covered or traveled.
Rate= distance/time
Time= distance/rate
Time= 70000/25
Time=2800 seconds.
Time in minutes= 2800/60
Time in minutes= 46.67 minutes
Time in hours = 2800/(60*60)
Time in hours= 2800/360
Time in hours= 0.778 hours
What is the greatest common factor of 20 and 36?
Answers
Answer:
4
Step-by-step explanation:
i did math
Answer: 4
Step-by-step explanation:
The Greatest common factor is the largest factor that both numbers share, so find their factors,
Factors of 20: 1,2,4,5,10 and 20
Factors of 36: 1,2,3,4,6,9,12,18, and 30
The largest factor that both numbers share is 4
Which bet represents this rectangular prism?
Answers
Answer:
I think it might be the top left one.
Step-by-step explanation:
Solve for q: q/10 = 4 q=?
Answers
Answer:
40
Step-by-step explanation:
[tex] \frac{q}{10} = 4[/tex]
..
Convert element into fraction :4=4/1
[tex] \frac{q}{10} = \frac{4}{1} [/tex]
cross multiply
[tex]q = 10 \times 4 \\ q = 40[/tex]
Answer:
q=40
Step-by-step explanation:
[tex]\frac{q}{10}=4\\10(\frac{q}{10})=4(10)\\q=40[/tex]
(x + 1)/(3x + 9) * (x ^ 2 + 5x + 6)/(x - 2) Simplify your answer as much as possible .
Answers
Answer:
(x^3 + 6x^2 + 11x + 6)/(3(x-2)(x+3))
Step-by-step explanation:
(x + 1)/(3x + 9) * (x ^ 2 + 5x + 6)/(x - 2)
(x^3 +5x^2 +6x +x^2 + 5x + 6)/(3x^2 - 6x + 9x -18)
(x^3 + 6x^2 + 11x + 6)/(3x^2 + 3x - 18)
(x^3 + 6x^2 + 11x + 6)/(3(x-2)(x+3))
Use the fundamental theorem of algebra to determine the number of roots for each polynomial function
shown.
f(x) = (x2+6)2
Answers
Answer:
4 roots.
Step-by-step explanation:
The number of roots is equal to the degree of the function
For example
f(x) = x^2 has 2 roots because the highest exponent is 2.
f(x) = x^3 + 2x - 1 has 3 roots , because the function is of degree 3.
(x^2+ 6)^2 = x^4 + 12x^2 + 36 so because of the x^4 it is of degree 4 and has 4 roots.
Pre-cal I don’t understand much
Answers
Answer:
33
Step-by-step explanation:
f(x) = 4x-3
Let x= 9
f(9) = 4*9 -3
36-3
33
Answer:
[tex]\Huge \boxed{{x=3}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
f(x) = 4x - 3
f(x) = 9
Substituting.
9 = 4x - 3
Adding 3 to both sides.
12 = 4x
Dividing both sides by 4.
3 = x
[tex]\rule[225]{225}{2}[/tex]
HELPP PLEASEE pleaseee ❗️❗️❗️
Answers
Answer:
I'm pretty sure its C.
Step-by-step explanation:
( -6, 4 ), ( -6, -2 ) the x stays the same but the y goes down by 6 points.
( 3, 4 ) if you subtract 6 from 4 you get -2 making the next coordinate ( 3, -2 ) or C.
Hopefully this isn't too late! :)
Algebra 2: Finding Values of Product and Quotient Functions
Answers
Answer:
(rs)(4) = 8x
(r/s)(3) = 3
Step-by-step explanation:
(2√x (√x)) (4)
(2x) (4)
8x
(√x / √x) (3)
1 (3)
3
Answer:
The answer to the first one is 8.
The answer to the second one is 2.
Step-by-step explanation:
Just got it right on edge.
Which of the following expressions are equivalent? Justify your reasoning,
А. 4 √x^3
B. 1/ x^-1
C. 10 √x^5 times x^4 times x^2
D. X1/3 times x^1/3 times x^1/3
Answers
Answer:
B and D
Step-by-step explanation:
B:
Anything to a negative power means that it is 1/that to the positive power.
E.g. x^-1 = 1/x^1
In other words, anything to the power of a negative switches sides of a fraction (i.e. if in numerator moves to denominator and vice versa.)
1/x^-1 = 1/1/x^1 which is just equal to x, because there are x number of 1/xs in one (1/x * x =1) Therefore Option B is equal to just x.
D: (assuming the first given term is x^1/3 and not X1/3 (?) Correct me if I'm wrong).
x^1/3 * x^1/3 * x^1/3 is also equal to just x.
This is because when multiplying together terms with the same base (x in this case) the exponents just add together, so:
x^1/3 * x^1/3 * x^1/3 = x^(1/3 +1/3 +1/3) = x^1 = x.
Therefore B and D are equivalent because they both equal x.
Hope this helped!
PLEASE RESPOND ASAP!!what is the value of z in the figure below??
Answers
Answer:
126
Step-by-step explanation:
By cyclic quadrilateral theorem:
[tex](180 \degree - 85 \degree) = \frac{1}{2} (z \degree + 64 \degree) \\ 95 \degree \times 2 = z \degree + 64 \degree \\ 190 \degree = z \degree + 64 \degree \\ 190 \degree - 64 \degree = z \degree \\ 126\degree = z \degree \\ z = 126[/tex]
The number of dogs compared to the number of cats owned by the residents of an apartment complex is represented by the model below
Complete the ratio that compares the number of dogs to the number of cats.
(There is 2 dogs and 4 cats) what is the ratio?
Answers
Answer:
2:4
Step-by-step explanation:
what is 2x+4=14
please hurry
Answers
Explanation: subtract 4 on both sides than divide 2 on both sides and tada
CAN SOMEONE PLEASE HELP ME ASAP PLEASEEEE!!!
Answers
Answer:
x = 4
Step-by-step explanation:
∆ABC ~ ∆DEF
--> AB/DE = BC/EF
--> x / 3 = 8 / 6
--> x / 3 = 4 / 3
--> x = 4
PLEASE HELP! For a concert 5,000 tickets were sold, and the proceeds were $72,000. Tickets for children 16 and younger were $10, adults were $20, and seniors 60 and older were $15. There were 3 times more children than seniors at the concert. What system of equations represents the number of children, c, adults, a, and seniors, s, that attended the concert?
Answers
if there is a total of 5000 tickets, and we know there were adults, children, and seniors, then the equation:
c + a + s = 5000 is correct
if we are using c, a, and s as variables for how many children, adults, and seniors were in attendance, then by matching the corresponding price, we should have the equation:
$72000= 10c + 20a + 15s
lastly, if we know the amnt of children in attendance was 3x more than the amnt of seniors, the equation:
3s = c is best because by multiplying the number of seniors in attendance by 3, you will get 3x more children than seniors
hope this helps, and is correct :)!