The number of choices for all the possible passwords are 43,056,000
Given, we have to make a password which includes 4 characters and 4 even digits. And none of the characters or digits can be used more than once. So, For the first character we have 26 choices as we can use any character from the alphabet. For the 2nd character we get 25 choices as we cant choose the first character already twice. Similarly, for 3rd character we get 24 choices and for 4th character we get 23 choices.
Now for the digits, we can only use even digits 0,2,4,6,8 with no repetition allowed. Therefore, for first digit we can choose any digit so we get 5 choices. For the 2nd digit we get 4 choices. For the 3rd digit we get 3 choices. For the 4th digit we get 2 choices.
Noe, to find all the possible combinations , we just need to multiply all the choices :
⇒ 26 x 25 x 24 x 23 x 5 x 4 x 3 x 2
⇒ 43,056,000
Therefore, the total number of all the possible combination of passwords according to the given condition is 43,056,000.
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Question 6: Question 6 E 0/2 pts Which source of bias is most relevant to the following situation: A group of first time offenders are asked to rate their court-appointed defense attorney while their case is still being argued in court. Self-interest study voluntary response bias O nonresponse bias or missing data perceived lack of anonymity loaded or leading question Question 7: Question 7 < > In a study, the data you collect is Mood on a Happy/OK/Sad scale. This data is: Quantitative Qualitative (Categorical) Question 8: Question 8 < > Does this describe an observational study or an experiment? The gender of children born in January were tallied Experiment Observational Study
Perceived lack of anonymity is the source of bias that is most relevant to the given situation.
The data collected in the study, which is Mood on a Happy/OK/Sad scale, is qualitative or categorical data.
This describes an observational study.
What is Statistics?
Statistics is a field of study that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves the use of mathematical and statistical methods to extract meaningful insights from data and to draw conclusions or make decisions based on the findings.
When individuals are asked to provide feedback on a court-appointed defense attorney while their case is still being argued in court, they may feel that their responses are not anonymous and that the attorney or the court may retaliate against them if they provide negative feedback. This can lead to a perceived lack of anonymity, which can influence their responses and bias the feedback they provide. They may feel pressured to provide positive feedback or may choose not to provide any feedback at all, leading to nonresponse bias or missing data.Therefore, the perceived lack of anonymity can introduce bias into the feedback collected in this situation.Qualitative data is data that represents characteristics or qualities, rather than quantities or numbers. In this case, the mood of the respondents is being measured using categories or labels, such as Happy, OK, or Sad. This type of data cannot be easily measured or expressed in numerical terms, and therefore is considered qualitative.On the other hand, quantitative data is data that can be measured and expressed in numerical terms. This type of data is usually represented by numbers and can be analyzed using statistical methods to draw meaningful conclusions. Examples of quantitative data include age, weight, temperature, and number of hours worked.In an observational study, the researcher observes and records data on the subjects without intervening or manipulating any variables. In this case, the researcher is simply tallying the gender of children born in January, which does not involve any intervention or manipulation of variables.On the other hand, in an experiment, the researcher manipulates one or more variables to observe the effect on the outcome variable. The researcher randomly assigns participants to different groups or conditions and controls one or more variables to determine cause-and-effect relationships.Since the gender of children born in January is being observed and recorded without any intervention or manipulation of variables, it is an observational study.Learn more about Statistics click here:
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what is f(-3) given that f(x)=-x+2
Answer:
f(-3) = 5
Step-by-step explanation:
f(-3) → x = -3
f(x) = -x+2
f(-3) = -(-3)+2
f(-3) = 3+2
f(-3) = 5
a gambler has a fair coin and a two-headed coin in his pocket. he selects one of the coins at random; when he flips it, it shows heads. what is the probability that it is the fair coin?
The probability of selecting the fair coin when a gambler has both a fair coin and a two-headed coin in his pocket is 50%.
This is because, when he selects one of the coins at random, it is equally likely that he has chosen either the fair coin or the two-headed coin. If he flips the coin and it shows heads, then the probability that it is the fair coin is still 50%, because either coin could have been selected and both would show heads.This is an example of a classical probability problem, which is based on the law of equal chances. This law states that when an event has multiple possible outcomes, each of those outcomes is equally likely to occur. In this case, there are two possible coins that could have been chosen, so each coin has a 50% chance of being selected. This means that the probability of selecting the fair coin is 50%.This also applies to events that have multiple outcomes which are not equally likely. For example, if a gambler has a fair coin, a two-headed coin, and a three-headed coin in his pocket, the probability of selecting the fair coin is still 50%. This is because the gambler has an equal chance of selecting any of the coins, regardless.
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measures of variability are used to group of answer choices describe the extent to which scores in a distribution differ from one another. describe the extent to which scores in a distribution differ from the mode. make appropriate decisions regarding graph size, shape, and style. describe measures of central tendency.
Yes, measures of variability are used to describe the extent to which scores in a distribution differ from one another.
Yes, measures of variability are used to describe the extent to which scores in a distribution differ from one another.
Measures of variability include the range, variance, and standard deviation, and they give us a sense of how spread out the scores in a distribution are. These measures help us understand the variability or dispersion of the data and how far the individual scores in a distribution deviate from the mean or other measures of central tendency.
Measures of central tendency, such as the mean, median, and mode, describe the central or typical value of a set of scores. They provide a summary of the data and a single value that represents the center of the distribution.
The decisions regarding graph size, shape, and style are usually based on the type of data being presented and the message being conveyed. A histogram, for example, may be used to visually display the distribution of a set of scores, and the size, shape, and style of the graph can be adjusted to highlight important features of the data.
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what is the slope of the line that contains the points (-2,6) and (6,-3)?
PLEASE SHOW WORK
Answer: [tex]-\frac{9}{8}[/tex]
Step-by-step explanation:
If you are given two points of a line, the slope is defined as rise/run. Rise is the difference in y coordinates, (think about it, going UP is RISING), and Run is the difference in x coordinates, (again its pretty intuitive.)
So Slope = [tex]\frac{y_{2} - y_{1}}{x_{2}-x_{1}}[/tex]
This can be calculated with the coordinates of the two points, (order wont matter youll get the same answer).
Slope = (-3-6)/(6-(-2)) = -9/8
OR, (going the other way)
Slope = (6-(-3))/(-2-6) = 9/-8 = -9/8
Easy!
Use the factors of the function and the y-intercept to find the standard form of the equation representing Jared’s function.
The equation of the polynomial is P(x) = 0.16875(x + 8)(x - 10)
How to determine the equation of the polynomialFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have the following readings:
A root of multiplicity 1 at x = -8
A root of multiplicity 1 at x = 10
y-intercept = -13.5
A polynomial is represented as
P(x) = a * (x - zero)^multiplicity
Using the above as a guide, we have the following:
P(x) = a * (x + 8)(x - 10)
The y-intercept is -13.5
So, we have
a * (0 + 8)(0 - 10) = -13.5
This gives
a = 0.16875
Hence, the expression is P(x) = 0.16875(x + 8)(x - 10)
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Mrs. Townsend is giving you a test worth 100 points and it contains 40 questions. There are two-point and four-point questions on the test. How many of each type of question are on the test?
Answer:
[tex]10[/tex] four point questions and [tex]30[/tex] two point questions
Step-by-step explanation:
Let's say [tex]f =[/tex] [tex]\text{number of four point questions}[/tex] and[tex]t = \text{number of two point questions}[/tex]. The total number of questions is [tex]40[/tex], therefore [tex]t + f = 40[/tex]. We know the test is worth [tex]100[/tex] points so we can write [tex]2t + 4f = 100[/tex]. We have a system of equations: [tex]t + f = 40 \text{ and } 2t + 4f = 100[/tex]. We can rewrite [tex]t[/tex] as [tex]t = 40 - f[/tex]. We rewrite this in the equation [tex]2t + 4f = 100[/tex]. Since [tex]t = 40 - f[/tex], we have [tex]2 \cdot (40 - f) + 4f = 100[/tex]. Distributing & simplifying gives
[tex]2 \cdot (40 - f) + 4f = 100\\(80 - 2f) + 4f = 100,\\\text{Remove parentheses} 80 - 2f + 4f = 100,\\80 + (-2f) + 4f = 100\\80 + 2f = 100,\\\text{Subtract 80 from both sides} 2f = 20,\\\text{Divide 2 by both sides} f = 10.\\[/tex]
Since we determined [tex]t = 40 - f[/tex] and [tex]f = 10[/tex], subtracting [tex]10[/tex] from [tex]40[/tex] will give [tex]t = 30[/tex].
Therefore, there are [tex]10[/tex] four point questions and [tex]30[/tex] two point questions.
Hope that helps!
Sara can read 19 pages an hour. How many pages can Sara read in 95 min? Round to the nearest whole number.
Answer:
Step-by-step explanation:
Convers 95 min into hours
95/60 = 1.58 Hours
Sara can read 19 pages per hour
Total pages in 95 min or 1.58 hours =
19 * 1.58 = 30.02
Rounding off to nearest whole number- 30
Hope it helps
Question in picture.
he possible values for c would be 31 and 41.
Option (D) is correct.
What is the quadratic equation?
A quadratic equation is a polynomial equation of the second degree, which means that it contains a variable raised to the power of two (usually x^2). The general form of a quadratic equation is:
[tex]ax^2 + bx + c = 0[/tex]
where a, b, and c are constants and x is the variable.
We have [tex](ax+2)(bx+7)=abx^2 +7ax+2bx+14=abx^2+(7a+2b)x+14[/tex]
Given, it is equal to 1[tex]5x^2+cx+14[/tex]
⇒ab=15 --- (1)
⇒7a+2b=c
Also given a+b=8 --- (2)
From equations (1) and (2), we can interpret that either of a or b are equal to 3 or 5
When a=3 and b=5, we have c=7(3)+2(5)=21+10=31
When a=5 and b=3, we have c=7(5)+2(3)=35+6=41
Hence, the possible values for c would be 31 and 41.
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Which choice is the explicit formula for the following geometric sequence?
0.3,-0.06, 0.012, -0.0024, 0.00048, ...
A. an=0.3(0.2)"
B. an=-0.2(0.3)(n-1)
C. an= -0.3(-0.2)(n-1)
D. an= -0.3(0.2)(n-1)
E. an = 0.3(-0.2)(n-1)
The formula for given sequence is aₙ = 0.3(-0.2)ⁿ⁻¹ i.e. E.
What exactly is a sequence?
A sequence is a collection of numbers that follows pattern. Olivia, for example, has been offered a position with a beginning monthly pay of $1000 and a yearly raise of $500. Can you figure out her monthly pay for the first three years? The prices will be $1000, $1500, and $2000. Note that Olivia's income over a number of years creates a sequence as they follow a pattern where the numbers increase by $500 each time.
Now,
Given sequence is 0.3,-0.06, 0.012, -0.0024, 0.00048, ...
Of all given options only E satisfies the given sequence because
for E
a₁=0.3*-0.2¹⁻¹
=0.3*1
=0.3
a₂=0.3*-0.2²⁻¹
=-0.3*0.2
=-0.006
a₃=0.3*-0.2³⁻¹
=0.3*0.04
=0.012
hence,
The formula for given sequence is aₙ = 0.3(-0.2)ⁿ⁻¹.
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QUESTION FOR FOR LIH04
Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. F(x) = 0 x < 0 x2 25 0 ≤ x < 5 1 5 ≤ x Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.)
(a) Calculate P(X ≤ 3).
(b) Calculate P(2.5 ≤ X ≤ 3).
(c) Calculate P(X > 3.5).
(d) What is the median checkout duration ? [solve 0.5 = F()].
(e) Obtain the density function f(x). f(x) = F '(x) =
(f) Calculate E(X).
(g) Calculate V(X) and σx. V(X) = σx =
(h) If the borrower is charged an amount h(X) = X2 when checkout duration is X, compute the expected charge E[h(X)].
By Using the Cumulative distributed Function(CDF)m we get:
a) P (x <= 3 ) = 0.36
b) P ( 2.5 <= x <= 3 ) = 0.11
c) P (x > 3.5 ) = 1 - 0.49 = 0.51
d) x = 3.5355
e) f(x) = x / 12.5
f) E(X) = 3.3333
g) Var (X) = 13.8891 , s.d (X) = 3.7268
h) E[h(X)] = 2500
Given:
The cdf is as follows:
F(x) = 0 x < 0
F(x) = (x^2 / 25) 0 < x < 5
F(x) = 1 x > 5
Now,
a) Evaluate the CDF given with the limits 0 < x < 3.
So, P (x <= 3 ) = (x^2 / 25) | 0 to 3
P (x <= 3 ) = (3^2 / 25) - 0
P (x <= 3 ) = 0.36
b) Evaluate the CDF given with the limits 2.5 < x < 3.
So, P ( 2.5 <= x <= 3 ) = (x^2 / 25) | 2.5 to 3
P ( 2.5 <= x <= 3 ) = (3^2 / 25) - (2.5^2 / 25)
P ( 2.5 <= x <= 3 ) = 0.36 - 0.25 = 0.11
c) Evaluate the CDF given with the limits x > 3.5
So, P (x > 3.5 ) = 1 - P (x <= 3.5 )
P (x > 3.5 ) = 1 - (3.5^2 / 25) - 0
P (x > 3.5 ) = 1 - 0.49 = 0.51
d) The median checkout for the duration that is 50% of the probability:
So, P( x < a ) = 0.5
⇒ (x² / 25) = 0.5
⇒ x² = 12.5
⇒ x = 3.5355
e) The probability density function can be evaluated by taking the derivative of the cdf as follows:
pdf f(x) = d(F(x)) / dx = x / 12.5
f) The expected value of X can be evaluated by the following formula from limits - ∞ to +∞:
E(X) = integral ( x . f(x)).dx limits: - ∞ to +∞
E(X) = integral ( x² / 12.5)
E(X) = x³ / 37.5 limits: 0 to 5
E(X) = 5³ / 37.5 = 3.3333
g) The variance of X can be evaluated by the following formula from limits - ∞ to +∞:
Var(X) = integral ( x² . f(x)).dx - (E(X))^2 limits: - ∞ to +∞
Var(X) = integral ( x³ / 12.5).dx - (E(X))^2
Var(X) = x⁴/ 50 | - (3.3333)^2 limits: 0 to 5
Var(X) = 5⁴/ 50 - (3.3333)^2 = 13.8891
Standard Deviation (s.d) (X) = sqrt (Var(X)) = sqrt (13.8891) = 3.7268
h) Find the expected charge E[h(X)] , where h(X) is given by:
h(x) = (f(x))^2 = x^2 / 156.25
The expected value of h(X) can be evaluated by the following formula from limits - ∞ to +∞:
E(h(X))) = integral ( x . h(x) ).dx limits: - ∞ to +∞
E(h(X))) = integral ( x^3 / 156.25)
E(h(X))) = x^4 / 156.25 limits: 0 to 25
E(h(X))) = 25^4 / 156.25 = 2500
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Mackenzie has 8 markers. Ty has three times as many. If they combine their markers, how
many do they have?
Show your work
Answer:
32 markers
Step-by-step explanation:
Ty has 8 x 3 = 24 markers.
Together, they have 8 + 24 = 32 markers.
I need help with this
The angle relationship that will fill the correct angle are given below.
What is an angle relationship?An angle is said to be generated when two or more lines intersect at a point. Thus series of angles which have some common relationship on comparison are formed. Some common angle relationships are; supplementary angles, complementary angles, vertical angles, etc.
The angle relationship to fill the correct angle are:
1. <AXE and <CXD are vertical angles.
2. <AXF and <DXF are supplementary angles.
3. <DXC and <BXC are complementary angles.
4. <CXB and <AXB are adjacent angles.
5. <AXC and <CXD are supplementary angles.
6. <DXE and <AXC are vertical angles.
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A city's population is currently 365,000. If the population doubles every 24 years, what will the population be 96 years from now?
Answer: 5,840,000
Step-by-step explanation:
96/24=4
365,000x2x2x2x2=5,840,000
or
365,000 x 2^4=5,840,000
The diagram shows three identical coins of
radius 1 cm.
Calculate the shaded area in the middle
of the diagram.
help i dont understand this fully
A composite figure is shown.
Which of the following represents the total area of the figure?
A. 222 cm2
B. 240 cm2
C. 258 cm2
D. 294 cm2
The total area of the composite figure is 258 squared centimeters.
What is the area of the composite figure?The figure in the diagram is composed of two triangle and a rectangle?
The area of a triangle = 1/2 × base × height
Area of a rectangle = length × width
From the diagram;
Triangle 1
base = 4cmheight = 12cmTriangle 2
base = 12cmheight = 3cmRectangle
length = 18cmwidth = 12cmTo find the area of the composite figure, we find the area of the two triangle and rectangle and add.
Area = area of triangle 1 + area of triangle 2 + area of rectangle.
Area = ( 1/2 × base × height ) + ( 1/2 × base × height ) + ( length × width )
Area = ( 1/2 × 4 × 12 ) + ( 1/2 × 12 × 3 ) + ( 18 × 12 )
Area = ( 2 × 12 ) + ( 6 × 3 ) + ( 18 × 12 )
Area = 24 + 18 + 216
Area = 258cm²
Therefore, the area is 258 squared centimeters.
Option C) 258cm² is the correct answer.
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Answer:
258cm^2
Step-by-step explanation:
So I have to solve for x here: x/4 - 6 = x/12 + 2
Answer:
X = 48
Step-by-step explanation:
x/4 - 6 = x/12 + 2
= 3x-72=x+24
= 3x=x+96
= 2x=96
= x=48
Answer:
x=48
Step-by-step explanation:
You can solve by x by simplifying both sides of the equation, then isolating the variable
State how the triangles are congruent using SSS, SAS, ASA, AAS, or
HL. If they are not congruent, type NOT.
Answer:
NOT
Step-by-step explanation:
There are no pairs of congruent sides.
3=2x+y
4x+6=10y
Find what is x and what is y
Answer:
x=1 , y=1
Step-by-step explanation:
2x+y=3 - - (1)
4x+6=10y
=> 4x-10y=-6 - - (2)
Multiply eq (1) by 2, and we get ;
4x+2y=6 - -(3)
Now subtract eq (3) by eg (2)
4x+2y=6
-4x+10y=+6
12y=12
y=1
Sub value of y in eq (1)
2x+1=3
2x=2
x=1
Given the following frequency table of preferred weekend activities
a. Complete the table and find the value of x.
X =
Movies Theme Totals
Parks
379
Male
X
Female 180
Totals
575
1000
Here is the completed table:
Movies Theme park Totals
Males 245 379 624
Females 180 196 376
Totals 425 575 1000
How to complete the table?Total number of people that watch movies = totals - total number of people that go to theme parks
1000 - 575 = 425
Total number of males that watch movies = total number of people that watch movies - number of males that go to the theme park
425 - 180 = 245
Total number of males = Total number of males that watch movies + males that go to the theme park
245 + 379 = 624
Total number of females = totals - total number of males
1000 - 624 = 376
Total number of females that go to theme parks = total number of females - total number of females that go to the theme park
376 - 180= 196
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Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
-x+6y=9
-4x+24y=48
Answer:
no solution
Step-by-step explanation:
- x + 6y = 9 → (1)
- 4x + 24y = 48 → (2)
multiplying (1) by - 4 and adding to (2) will eliminate x and y
4x - 24y = - 36 → (3)
add (2) and (3) term by term
0 + 0 = 12
0 = 12 ← false statement
this false statement indicates the system has no solution
Tyler built a toy box in the shape of a rectangular prism with an open top. The diagram below shows the toy box and a net of the toy box. What is the surface area, in square inches, of the toy box?
Answer:482 in ^2
Step-by-step explanation:
i need to reask this:
I need help with this since my school switched teachers and we didnt take it and the new teacher is refusing to teach us it
let's pry open the triangles a bit and plug their values for the pythagorean theorem to get the hypotenuse, Check the picture below, those are only the first 4 triangles, notice the hypotenuse.
now let's move like the crab, backwards, let's do D first and then C
D)
well, since for the 1st triangle the root has a "2", that means "1+1", and it's pretty much the same for any subsequent triangle, so the rule must be
[tex]{\Large \begin{array}{llll} P_{n}=\sqrt{n+1} \end{array}}\hspace{5em}\textit{rule for the }n^{th}~triangle[/tex]
C)
what does that make the 9th one?
[tex]{\Large \begin{array}{llll} P_{9}=\sqrt{9+1}\implies P_9=\sqrt{10} \end{array}}[/tex]
given f(x)=2x^{2}+4 find f(3)
Answer: 22
Step-by-step explanation:
f(x) is basically the y of the function and we sent x=3. go back to the function and plug in 3 in the x. then solve 3^2=9 2x9=18 18+4=22 BOOOM MATHH
A college basketball player makes 80% of his free throws . Over the season he will attempt 100 free throws assume free throw attempts are independent , and let X be the total number of free throws he makes . a) The mean of X is ? Which on is correct -Cannot be determined / 80 /100 /0.80 ? b) The standard deviation of X is ? Which on is correct= 16/ 4/ 80/ 20? c) The probability that the basketball player makes at least 90 of these attempts is approximately ? Which on is correct= 0.0062/ 0.9938/ 0.2660 ? d) If the basketball player instead attempts only 10 free throws, the probability that he makes at most 4 of these is ? Which on is correct= 0.0009/ 0.9991/ 0.0064/ 0.9936?
A collegiate basketball player hits 80% of his free throw attempts. Assuming free throw attempts are independent, he will try 100 free throws this season the answers are as follows:
a) The mean of X is 80.
b) The standard deviation of X is 4.
c) The probability that the basketball player makes at least 90 of these attempts is approximately is 0.0062.
d) If the basketball player instead attempts only 10 free throws, the probability that he makes at most 4 of these is 0.0064.
As per the question given,
a) The mean of X is given by the formula: mean = n * p, where n is the number of trials and p is the probability of success on each trial. In this case, the player attempts 100 free throws with a probability of success of 0.8, so the mean is:
mean = 100 * 0.8 = 80
Therefore, the correct answer is 80.
b) The standard deviation of X is given by the formula: standard deviation = sqrt(n * p * (1 - p)). Substituting the values, we get:
standard deviation = sqrt(100 * 0.8 * 0.2) = 4
Therefore, the correct answer is 4.
c) To find the probability that the player makes at least 90 free throws, we can use the normal approximation to the binomial distribution. The mean is 80 and the standard deviation is 4, so we can standardize the value of X as follows:
z = (90 - 80) / 4 = 2.5
Using a standard normal distribution table, we can find the probability that Z is greater than 2.5, which is approximately 0.0062.
Therefore, the correct answer is 0.0062.
d) If the player attempts only 10 free throws, the number of successful attempts X follows a binomial distribution with n=10 and p=0.8. The probability that he makes at most 4 of these attempts is:
P(X <= 4) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4)
Using the binomial distribution formula, we can calculate each of these probabilities and sum them up. Alternatively, we can use a binomial probability table or a calculator to find the cumulative probability.
Using a binomial probability calculator, we get:
P(X <= 4) = 0.0064 (rounded to four decimal places)
Therefore, the correct answer is 0.0064.
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PLEASE HELP ME ASAP
The equation of the graph is y = (5x + 10)/(x²-1).
The correct option is c.
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
Given:
The graph of the equation is given in the image.
From the graph:
When x = 0, then y = -10.
And when y = 0, then x = -2.
y = (5x + 10)/(x²-1)
Substituting the values,
we get,
when x = 0, then y = -10.
And when y = 0, then x = -2.
From the given choices:
The equation,
y = (5x + 10)/(x²-1) satisfies the points.
Hence, the equation is y = (5x + 10)/(x²-1).
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What does 1/3 ÷ 5/6 equal?
Answer:
It would equal 2/5. First flip the 5/6 so then it would be 6/5. Then the 3 and 6 can cross cancel so it would equal to 2 in the numerator.
A rock is dropped from a height of 100 feet. Calculate the time between when the rock was dropped and when it landed. If we choose "down" as positive and ignore air friction, the function is h(t) = 36t^2 - 64.
t= 3.56 seconds
t= 1.78 seconds
t= 1.33 seconds
t= 8 seconds
the assumption being that h(t) is the height of the rock in "t" seconds, so by the time the rock hits the ground h(t) = 0, namely it has reached 0 height because, well, is on the ground :)
[tex]h(t)=36t^2 - 64\implies 0=36t^2 - 64\implies 64=36t^2\implies \cfrac{64}{36}=t^2 \\\\\\ \sqrt{\cfrac{64}{36}}=t\implies \sqrt{\cfrac{16}{9}}=t\implies \cfrac{4}{3}=t\implies 1.\overline{33}=t[/tex]
