The sum of two numbers is 130 and their difference is 34 Let x be the first number and y be the second
number Set up a system of equations and use the elimination method to find the numbers. You must
show your work
10. A theater sold 800 tickets for Friday night's performance, One child ticket costs $4.50 and one adult
ticket costs $6.00. The total amount collected was $4.500. How many of each type of ticket were sold?
11. The postal service offers flat-rate shipping for priority mail in special boxes. Malia shipped 4 small
boxes and 2 medium boxes, which cost her $54 to ship. Meanwhile, Stephen shipped 1 small box and
2 medium boxes, and paid $33. How much does it cost to ship these two sizes of boxes?
Answers
Step-by-step explanation:
9)=
By the question:-
x + y = 130-i
x - y = 34-ii
Now,
Add i and ii,
x + y + x -y = 164
or, 2x = 164
so, x = 82
Now,
x -y = 34
or, 82 - y = 34
so, y = 48
The numbers are 82 and 48.
10) =
Let adults ticket be x and childs ticket be y.
x + y = 800
x = 800 - y - eqn i
4.5x + 6y = 4500
Substituting x's value from eqn i,
4.5(800-y) + 6y = 4500
or, 3600 - 4.5y + 6y = 4500
or, 1.5y = 900
so, y = 600
Now,
x + y = 800
or, x + 600 = 800
so, x = 200
Hence, 600 adult tickets were sold and 200 child tickets were sold.
11)=
Let cost of one small box be x and one medium box be y.
So,
4x + 2y = 54-eqn i
x + 2y = 33-eqn ii
subtracting eqn i from ii,
x + 2y - 4x - 2y = - 21
or, -3x = - 21
so, x = 7
Now,
x + 2y = 33
or, 2y = 33 - 7
or, y = 26/2
so, y = 13
So, cost of one small box is $7 and medium box is $13.
Related Questions
At a supermarket, oranges cost $1.30 per pound and pears cost $1.90 per pound. Misha spent less than $10.00 on 2 pounds of oranges and x pounds of pears. Which inequality represents this situation?
Answers
Answer:
kind423
Step-by-step explanation:
Answer: 2(1.9)+1.30x<10
Step-by-step explanation:
Orange= $1.30/lb
Pear= $1.90/lb
$1.30/lb = $y/2lb
y=1.30*2
y=$2.6 for 2lb of orange
So
She spent
2(1.30)+1.90x< $10
2.6+1.90x<10
1.90x<10-2.6
1.90x<7.4
x<7.4/1.90
x<3.89
According to 2(1.30)+1.90x< $10
2.6+1.90*3.89<10
9.991<10
Ellie bought cookies and cupcakes for $102.44. If she spent $36.44 on cookies
and the cupcakes are $11 per box, how many boxes did she buy?
Answers
Answer:
Step-by-step explanation: First since the cookies are 36.44 dollars and the total spent is 102.44, use 102.44-36.44= 66 dollars
66/11=6 cupcake boxes
6 cupcake boxes + 1 cookie box = 7 boxes in total
PART B
How can the stage manager use the constant of proportionality to find the
dimensions of any new props the director requires?
Answers
a) the constant of proportionality multiplies every actual linear dimension
b) height of a can of fruit juice is 3.85 inches high
What is Proportionality?
The term proportionality describes any relationship that is always in the same ratio.
Explanation for answer:
Since the desire is to have students look twice as tall, we expect the constant of proportionality to be [tex]\frac{1}{2}[/tex].
Instead, we're told that the stage manager is using a height of 44 inches to represent an 80-inch door.
This means their constant of proportionality is [tex]\frac{40}{80} = 0.55[/tex]
a) Any new props can be scaled by this factor (0.55) to find their height on set.
b) A 7-inch can would be scaled to [tex]7\times 0.55 = 3.85\ inches[/tex]
Question: The school's theater club is building sets that will make ordinary students look like giants. The actors need a door, a table, and a stool that will make them look almost twice as tall!
DOOR: actual height is 80 inches and Height on Set is 44 inches
TABLE: actual height is 28 inches
STOOL: actual height is 18 inches
How can the stage manager use the constant of proportionality to find the dimensions of any new props the director requires?
What should the height of a can of fruit juice used as a prop be if its actual height is 7 inches? Show your work.
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If LM = 2x - 9 and KN = x + 15 in rhombus KLMN, find the value of x.
Answers
The value of x in the rhombus is 24 units.
According to the question,
We have the following information:
LM = 2x - 9 and KN = x + 15 in rhombus KLMN.
Now, we know that in a rhombus opposite sides are equal. In this case, LM and KN are opposite sides.
So, we have the following expression:
2x-9 = x+15
Adding 9 to both sides of the equation:
2x = x+15+9
2x = x+24
Subtracting x from both sides of the equation:
2x-x = 24
x = 24
Hence, the value of x for the given rhombus is 24 units.
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A certain vehicle can accelerate from a standing start to a speed of v(t) = −0.24t2 + 12t feet per second after t seconds (for 0 ≤ t < 30).
a.
Find a formula for the distance that it will travel from its starting point in the first t seconds. [Hint: Integrate velocity to find distance, and then use the fact that distance is 0 at time
t = 0.]
b.
Use the formula that you found in part (a) to find the distance (in ft) that the car will travel in the first 10 seconds. (Round your answer to the nearest whole number.)
Answers
The distance (in ft) that the car will travel in the first 10 seconds is 16.8 feet.
What is the relation between speed and distance?Speed describes how accelerated something or somebody is moving. If you know the distance traveled and the time it took, you can calculate the average speed of an object.
The speed formula is speed = distance/time.
We have been given certain vehicles that can accelerate from a standing start to a speed of v(t) = −0.24t² + 12t feet per second after t seconds (for 0 ≤ t < 30).
Then the distance that it will travel from its starting point in the first t seconds is;
[tex]\int\limits^{30}_b {v(t) } \, dx \\\\\\\int\limits^{30}_b {-0.24t^2 + 12t } \, dt \\\\\\\int\limits^{30}_b {-0.48t + 12} \, dt \\\\-0.48(30) + 12\\\\14.4 + 12 = 26.4[/tex]
At zero it will be 12 feet.
b. the distance (in ft) that the car will travel in the first 10 seconds.
-0.48(10) + 12 = 16.8 feet.
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On average, Jaya drinks of a 6-ounce glass of water in 13 hours. How many glasses of water does she drink in one hour?
Answers
On average, Jaya drinks 0.46 ounces glasses of water does she drink in one hour.
Average:
Average refers the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.
Given,
On average, Jaya drinks of a 6-ounce glass of water in 13 hours.
Here we need to find the number of glasses of water does she drink in one hour.
Let x be the number of glasses of water does she drink in one hour.
We know that, Jaya drinks of a 6-ounce glass of water in 13 hours.
So, in order to find the average we have to divide the number of glasses by the time taken.
So, it can be written as,
=> 6/13
=> 0.46
Therefore, for one hour Jaya drinks 0.46 ounces of water.
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If x = -4 and y = 3, what is the value of 1/2x + 3xy^2
Answers
If x = -4 and y = 3, then the value of 1/2x + 3xy² is -110.
What is a value function?
The value function represents the optimal payoff of the system over the interval [t, t1] when started at the time- t state variable x(t)=x.
What is a variable?
A quantity that could take on any of a number of different values. : a sign that denotes a variable. : anything has a range. : a variable that might alter in a scientific experiment.
Here, we have
x = -4 and y = 3
then by putting the value of a function in a given equation, we get
1/2*(-4) + 3*(-4)*(3)²
= -110
Hence, If x = -4 and y = 3, then the value of 1/2x + 3xy² is -110.
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find the distance between two points rounding to the nearest tenth if needed. (-5,4) and (4,-8)
Answers
Answer:
d = 15
Step-by-step explanation:
(-5, 4), (4, -8)
(x₁, y₁) (x₂, y₂)
d = √(x₂ - x₁)² + (y₂ - y₁)²
d = √(4 - (-5))² + (-8 - 4)²
d = √(4 + 5)² + (-12)²
d = √(9)² + (-12)²
d = √81 + 144
d = √225
d = 15
I hope this helps!
The stem-and-leaf plot displays the distances that a heavy ball was thrown in feet.
2 0, 1, 4
3 1, 2, 6
4 1, 3, 7
5 1, 1
6 5
Key: 3|2 means 3.2
What is the mean, and what does it tell you in terms of the problem?
Answers
Using the stem-and-leaf plot, the mean of the data is 3.85.
It means the average feet that the heavy ball was thrown is 3.85 feet, which is the typical number.
How to calculate the Mean of a Data Set represented by Stem-and-Leaf Plot?To find the mean of a data set that is represented by a stem-and-leaf plot, first, list out all the data values that are represented on the stem-and-leaf plot, add all the values and divide by the number of values that was represented on the stem-and-leaf plot.
Given the stem-and-leaf plot above, using the key, the data points represented are:
2.0, 2.1, 2.4, 3.1, 3.2, 3.6, 4.1, 4.3, 4.7, 5.1, 5.1, 6.5
Mean = [2.0 + 2.1 + 2.4 + 3.1 + 3.2 + 3.6 + 4.1 + 4.3 + 4.7 + 5.1 + 5.1 + 6.5]/12
Mean = 46.2/12
Mean = 3.85 feet
The mean of 3.85 feet means that the average distance that the heavy ball was thrown in feet is 3.85.
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The Answer is:
3.85 ft.
* *
-
Three middle schools in a city had enrollments of 296,315 and 278 what was the total middle school enrollment
Answers
The total middle school enrollment is 889 for the given city.
According to the question,
We have the following information:
Three middle schools in a city had enrollments of 296,315 and 278.
Now, the total middle school enrollment can be easily found by adding the enrollments in three middle schools of the city.
So, we have the following expression:
Total middle school enrollment = 296+315+278
(We already know that the digits are first added from the right hand side and then we move to the left hand side.)
Total middle school enrollment = 889
Hence, the total middle school enrollment is 889 for the given city.
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The second and fifth terms of a geometric sequence are 750 and -6 respectively. Find the
common ratio and first term of the sequence.
Answers
Step-by-step explanation:
T2= -6
T5=750
ar=-6
ar4=750
both a's cancel each other
we have;
r=-6
r4=750
r4-1(The law of indices) =750
r3=750
r=3√750
r=9.1
In the fraction three-fifths, which statement best describes the denominator?
A. It tells the number of equal parts out of the total number of parts.
B. It tells how many are shaded.
C. It represents the number of equal parts into which the whole is divided.
D. The denominator means three out of five are shaded.
Answers
Answer:
D. The denominator means three out of five are shaded
What is the x value of the solution to the following system
x + y =40
x - 3y = -4
Answers
Answer:
x=y , x-3y=4. x = y x = y , x − 3y = 4 x - 3 y = 4. Replace all occurrences of x x with y y in each equation. Tap for more steps... −2y = 4 - 2 y = 4. x = y x = y. Divide each term in −2y = 4 - 2 y = 4 by −2 - 2 and simplify. Tap for more steps... y = −2 y = - 2.
Step-by-step explanation:
Just smart
Answer:
C) 29
Step-by-step explanation:
1st equation - 2nd equation,
x+y - (x-3y) = 40-(-4)
x+y-x+3y = 40+4
4y = 44
y = 44÷4
y = 11
substituting y into the first equation,
x + 11 = 40
x = 40-11 = 29
answer is C
hope it helps. :)
Select the values that make the inequality
Answers
The answer is -4, -1, 1, 3, 3.9, 3.99, 3.999.
Given,
In the question:
To see the figure:
To select the values that makes the inequality s ≤ 4 true.
Number table are given in figure.
To see the figure and analysis.
Now, According to the question;
To make the inequality s ≤ 4 true.
The selected value must be less than 4 {Properties of Inequality}
The values are sorted from small to large:
So, The answer is -4, -1, 1, 3, 3.9, 3.99, 3.999.
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A candidate for mayor is calling 882 registered voters to remind them about the upcoming election if the candidate has 49 volunteers and each person calls the same numbers of voters how many voters will volunteer call
Answers
The number of voters that each volunteer call is 18.
What is voting?It is important to note that voting is done to choose a particular person during elections.
In this case, the candidate for mayor is calling 882 registered voters to remind them about the upcoming election and the candidate has 49 volunteers.
Since they gave same number of voters, this will be:
= Number of voters / Number of volunteers
= 882 / 49
= 18
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The equation for line u can be written as y = -x + 1. Line v, which is perpendicular to line
u, includes the point (-3, 2). What is the equation of line v?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
미미
Submit
Answers
Answer:
Line v: y = x + 5
Step-by-step explanation:
Given two lines are perpendicular and the equation of one line, we use the following formula to find the slope of the other line where m1 is the slope of the line we're given and m2 is the slope of the line we want to find:
[tex]m_{2}=-\frac{1}{m_{1} }\\m_{2}=1[/tex]
The general equation of a line is y = mx + b, where m is the slope and b is the y-intercept.
Therefore we plug in our slope and the point (-3, 2) to find the y-intercept of line v:
[tex]2=1(-3)+b\\2=-3+b\\5=b[/tex]
Is -4 a solution to the following equation? 4 + 3(x + 2) = 12x + 20 -4x
Answers
Answer:
-4 is not a solution to the following equation.
Step-by-step explanation:
It you replace x with -4 on both sides of the equation you get -2=-12 and they are not equal to each other. Therefore, -4 is not a solution to the equation.
In a study of helicopter usage and patient survival, among the 49,401 patients transported by helicopter, 244 of them left the treatment center against medical advice, and the other
49,157 did not leave against medical advice. If 40 of the subjects transported by helicopter are randomly selected without replacement, what is the probability that none of them left
the treatment center against medical advice?
The probability is
(Round to three decimal places as needed)
Answers
Answer:
40%
Step-by-step explanation:
One hundred eight Americans were surveyed to determine the number of hours they spend watching television each month. It was revealed that they watched an average of 151 hours each month with a standard deviation of 32 hours. Assume that the underlying population distribution is normal.
Which distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.)
Answers
The Z distribution also referred to as the standard normal distribution is the distribution that we would have to use here.
What is the z distribution?A unique type of normal distribution with a mean of 0 and a standard deviation of 1 is known as the standard normal distribution, or z-distribution.
By transforming the values of any normal distribution into z-scores, it is possible to standardize it. Z-scores indicate the number of standard deviations from the mean that each value falls within.
This is the z distribution given that the value of n is more than 30.
We have to make use of z when n which is the number of samples is greater than 30.
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d) Three bus services A, B and C arrive at a station. Service A arrives at the station every 15 minutes, service B arrives every 20 minutes and service C arrives every 30 minutes. All three buses arrive at the station together at 9 a.m. At what time will the three buses next arrive at the station. (Decide which will you use to find the answer: GCF or LCM)
Answers
The time that the three buses will next arrive at the station, given the time between their individual arrivals is 10 am.
How to find the time of arrival?Service A arrives every 15 minutes. Service B arrives every 20 minutes. Service C arrives every 30 minutes.
The goal is to find the time when all services arrive at the same time. This can be found by finding the LCM of all three times. This will show the shortest time till all services arrive.
The LCM of 15 minutes, 20 minutes, and 30 minutes is 60 minutes.
The three bus services will arrive at the same time in 60 minutes which is:
= 9 am + 60 minutes
= 10 am
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Find the 14th term of the geometric sequence 1,-5,25
Answers
The 14th term of the geometric sequence will be -1220703125.
What is geometric sequence?
The sequence where each word is varied by another by a common ratio is known as a geometric progression or geometric sequence. When we add a constant (which is not zero) to the term before it, the sequence's subsequent term is created. The following symbols stand in for it: a, ar, ar2, ar3, ar4, etc.
Geometric Progression (GP), a form of sequence in mathematics, is a series in which each subsequent term is created by multiplying each preceding term by a set integer, known as a common ratio. A geometric sequence of integers that follows a pattern is another name for this development.
[tex]1*(-5)^{13}[/tex]The terms are given, 1,-5,25
a = 1
r = -5/1 = -5
The 14th term will be= [tex]ar^{13}[/tex]
= [tex]1*(-5)^{13}[/tex]
= -1220703125
Hence, the 14th term of the geometric sequence will be -1220703125.
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A company's identification card consists of 4 letters followed by 2 digits. How many cards can be
made if repetition of digits are allowed, but letters must only be consonants and have NO
repetition. Note: y is not a vowel.
Answers
The possible cards can be made 6719448100.
What is permutation & combination?
Subsets of a set can be created in two separate ways combination and permutation. The subset's components can be listed in any order when combined. The components of the subset are listed in a permutation in a certain order.
We have,
Letters must only be consonants = 26 - 5.
So, the total number of consonants are 21.
There are 21 choices for the first letter, 21 choices for the second letter, 21 choices for the thirds letter, 21 choices for the fourth letter. For each of these letters, therefore 21 × 21 × 21 × 21 = 194481 possible pairs of letters.
There are 10 possibilities for the first digit & 10 possibilities for the second. therefore there are 10 x 10 = 100 different numbers.
Combining these results, it follows that there are 67194481 x 100 = 6719448100 different cards.
Hence, The possible cards can be made 6719448100.
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A solution contains 7% salt. How much water should be added to 30 ounces of this solution to make a 5% solution?
Answers
12 ounces of water.
Step-by-step explanation:1. Set the initial values.Total mass of the solution: 30 ounces.
Total mass of salt (solute): (30*0.07)= 2.1 ounces.
Total mass of water (solvent): (30*0.93) 27.9 ounces.
2. Find an equation that relates amount of water and percentage of salt.
Since we know that the amount of salt is 2.1 ounces, and it has to remain constant, we have to create a function such that the variable is the amount of water and it gives us the percentage of solution we are looking for. The function should look like this:
[tex]\frac{2.1}{x} =0.05[/tex]; where x is the mass of the water in the solution.
Side note: The number "0.05" is 5% converted into a decimal.
3. Solve the equation for x.[tex]\frac{2.1}{x} =0.05\\ \\\frac{x}{2.1} =\frac{1}{0.05} \\ \\x=\frac{2.1}{0.05} \\ \\x=42[/tex]
42 would be the total amount of ounces the solution should have in order to be a 5% solution. Therefore, 12 ounces (42-30) have to be added.
4. Conclude.12 ounces of water have to be added to this solution in order to make it a 5% solution, where 2.1 ounces is salt and 39.9 is water.
Kaleigh paid $37.45 for a calculator, after-tax, and the tax rate is 7%. What was the original cost of the calculator?
Answers
Step-by-step explanation:
that means that
$37.45 = 107%
as the price was 100% base price + 7% tax.
1% = 107%/107
100% = 1% × 100 = 107% × 100 / 107
so, the basic price (the "original cost") is
37.45 × 100/107 = $35.00
Which graph represents an odd function?
There are 6 points on a coordinate plane. The points are (negative 5, 3), (negative 3, 1), (negative 1, 1), (1, 3), (3, negative 5), (5, negative 1).
There are 8 points on a coordinate plane. The points are (negative 4, 2), (negative 3, negative 1), (negative 1, negative 3), (0, 1), (1, 0), (2, negative 4), (4, 5), (5, 4).
There are 8 points on a coordinate plane. The points are (negative 4, 0), (negative 3, 1), (negative 2, negative 3), (negative 1, negative 2), (1, 2), (2, 3), (3, negative 1), (4, 0)
There are 11 points on a coordinate plane. The points are (negative 4, 3), (negative 4, 4), (negative 3, 5), (negative 2, 1), (negative 1, negative 1), (0, negative 3), (1, negative 1), (2, 1), (3, 5), (4, 3), (4, 4).
Answers
Answer: first graph
Step-by-step explanation:
Help me please it’s confusing
Answers
Answer: 1/6
Step-by-step explanation:
To subtract fractions, you must have a common denominator. To do this, the common multiple of 3 and 2 is 6. So 2/3 is multiplied by 2/2 and 1/2 is multiplied by 3/3. The multiplication is valid since we multiplied by one, it didn't alter the value but rather it put it into an alternate, equivalent form.
Which ordered pairs in the form (x,y) are solutions to equation 3x -4y =21? SELECT MORE THAN ONE ANSWER. a- (11,30) b-(7,0) c-(-1,-6) D- (-3,3) please help
Answers
In linear equation, option A,B,C are equal expect D .
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.The given equation is 3x -4y =21.
A. (11, 3)
3(11) - 4(3) = 21
21 = 21 > equal
B. (7, 0)
3(7) - 4(0) = 21
21 = 21 > equal
C. (−1, −6)
3(-1) - 4(-6) = 21
21 = 21 > Equal
D. (−3, 3)
3x – 4y = 21
3(-3) - 4(3) = 21
-21 = 21 > not equal
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Enrique has a pay-per-use plan on his cell phone. It costs $0.10 per minute talk, $0.20 per text message, and $0.25 per picture message. His total bill last month was $30.95. The total number of text and picture messages sent was 87. The cost for the use of minutes was $1.60 less than the cost of the text messages. Find the number of talk minutes, text messages, and picture messages he used.
Answers
The number of minute talk's, text message's and picture message's are 128, 72 and 15 respectively.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Enrique who has a pay-per-use plan on his cell phone. It costs $0.10 per minute talk, $0.20 per text message, and $0.25 per picture message. His total bill last month was $30.95. The total number of text and picture messages sent was 87. The cost for the use of minutes was $1.60 less than the cost of the text messages
Assume that [x], [y] and [z] represents the number of minute talk's, text message's and picture message's respectively. Then -
0.1x + 0.2y + 0.25z = 30.95 ..[1]
y + z = 87 ..[2]
0.1x = 0.2y - 1.6 ...[3]
We can write Eq[1] as -
0.2y - 1.6 + 0.2y + 0.25z = 30.95
z = 87 - y
0.2y - 1.6 + 0.2y + 0.25(87 - y) = 30.95
Solving, we get y = 72.
So z = 87 - 72 = 15
and
0.1x = 0.2 x 72 - 1.6
0.1x = 14.4 - 1.6
x = 128
Therefore, the number of minute talk's, text message's and picture message's are 128, 72 and 15 respectively.
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100 POINTS!!!
2. Millicent's password for a website is a 5-digit number. The digits are the prime factors of 2,205 listed from least to greatest. What is Millicent's password?
33577
D 35577
B 33557
A 33357
Answers
Answer:
Step-by-step explanation:
I
The method of tree-ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution.
1,320 1,264 1,215 1,271 1,268 1,316 1,275 1,317 1,275
(a)
Use a calculator with mean and standard deviation keys to find the sample mean year x and sample standard deviation s. (Round your answers to four decimal places.)
A.D.
s =
yr
(b)
When finding an 90% confidence interval, what is the critical value for confidence level? (Give your answer to three decimal places.)
tc =
What is the maximal margin of error when finding a 90% confidence interval for the mean of all tree-ring dates from this archaeological site? (Round your answer to the nearest whole number.)
E =
Find a 90% confidence interval for the mean of all tree-ring dates from this archaeological site. (Round your answers to the nearest whole number.)
lower limit
A.D.
upper limit
A.D.
Answers
Using the t-distribution, it is found that:
a)
The mean is: 1280.1111The standard deviation is: 33.5799.b)
The critical value is: 1.86.The margin of error is: 21.The interval is: (1259, 1301).What is a t-distribution confidence interval?The bounds of the confidence interval are given according to the rule presented as follows:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which the variables of the equation are listed as follows:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The margin of error of the interval is:
[tex]M = t\frac{s}{\sqrt{n}}[/tex]
Then the interval can be interpreted as the sample mean plus/minus the margin of error.
For the confidence interval in this problem, using a calculator, the parameters are given as follows:
[tex]\mu = 1280.1111, s = 33.5799, n = 9[/tex]
The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 9 - 1 = 8 df, is t = 1.86.
Then the margin of error of the interval is:
M = 1.86 x 33.5799/sqrt(9) = 21.
Then the bounds of the interval are:
Lower: 1280 - 21 = 1259.Upper: 1280 + 21 = 1301.More can be learned about the t-distribution at https://brainly.com/question/17073112
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