Molly wants to pursue a graduate degree at New University but is unsure whether to specialize in law or medicine. To help her decide, she takes the MCAT and LSAT exams. LSAT: Molly's score = 120; Students at New University. M = 150, SD = 15 MCAT: Molly's score = 52; Students at New University: M = 40, SD = 6 In relation to the other people at New University, on which test did Molly get the better score? O it is impossible to say without more information O the scores were equal O the MCAT O the LSAT
Answers
Based on Standard Deviation ,the correct answer is:
In relation to the other people at New University, Molly got the best score in the MCAT test, she did get a score of 2.00.
Standard Deviation:
Standard deviation is a measure of the amount of variation or spread in a set of values. A low standard deviation indicates that the values tend to be closer to the mean (also called mean) of the set, while a high standard deviation indicates that the values are more spread out.
The standard deviation of a random variable, sample, statistical population, dataset, or probability distribution is the square root of its variance. This is algebraically simpler than the mean absolute deviation, but is actually less robust. A useful property of the standard deviation is that, unlike the variance, it is expressed in the same units as the data.
According to the Question:
Molly wants to finish her degree at the New University, but is unsure whether to major in law or medicine.
Molly's LSAT score is much more than Molly's MCAT score.
LSAT score:
Mean = 150 , and
Standard Deviation= 15
MCAT score:
Mean = 40, and
Standard Deviation = 6
Now,
Depending on the standard deviation amount and the other variables, Molly's scores were:
-LSAT, Z = -2.00
-MCAT Z = 2.00
Learn more about Standard Deviation:
https://brainly.com/question/29088233
#SPJ4
Related Questions
Write an expression to describe the sequence below. Use n to represent the position of a
term in the sequence, where n = 1 for the first term.
11, 12, 13, 14, ...
Answers
Answer:
n+10
Step-by-step explanation:
This is applicable because if you plug in the numbers it will work for example. -
what sequence is 12 in, it is the second number so n=2
so add 10 to 2 which is 12
So as seen the answer is n+10
thanks and mark me brainliest
The box plots display data collected when two teachers asked their classes how many pencils they lose in a school year.
A box plot uses a number line from 5 to 47 with tick marks every one unit. The box extends from 8 to 14 on the number line. A line in the box is at 11. The lines outside the box end at 7 and 45. The graph is titled Mr. Johnson's Class, and the line is labeled Number Of Pencils.
A box plot uses a number line from 0 to 51 with tick marks every one unit. The box extends from 12 to 21 on the number line. A line in the box is at 14.5. The lines outside the box end at 0 and 50. The graph is titled Mr. Simpson's Class, and the line is labeled Number Of Pencils.
Which class lost the most pencils overall based on the data displayed?
Mr. Simpson's class; it has a larger median value 14.5 pencils
Mr. Johnson's class; it has a larger median of 11 pencils
Mr. Simpson's class; it has a narrow spread in the data
Mr. Johnson's class; it has a wide spread in the data
Answers
Answer:
A) Mr. Simpson's class; it has a larger median value 14.5 pencils.
Step-by-step explanation:
A box plot is a visual display of the five-number summary:
Minimum value = The value at the end of the left whisker.Lower quartile (Q₁) = The left side of the box.Median (Q₂) = The vertical line inside the box.Upper quartile (Q₃) = The right side of the boxMaximum = The value at the end of the right whisker.From inspection of the box plots (attached), the measures of central tendency (median) and dispersion (range and IQR) are:
Mr Johnson's class:
Median = 11IQR = Q₃ - Q₁ = 14 - 8 = 6Range = max - min = 45 - 7 = 38Mr Simpson's class:
Median = 14.5IQR = Q₃ - Q₁ = 21 - 12 = 9Range = max - min = 50 - 0 = 50In a box plot, the median is a measure of central tendency and tells us the location of the middle value in the dataset. It divides the data into two equal halves, with 50% of the values falling below the median and 50% above it.
The median number of pencils lost in Mr Simpson's class is greater than the median number of pencils lost in Mr Johnson's class. Therefore, Mr. Simpson's class has a larger median value.
The spread of data in a dataset can be measured using both the range and the interquartile range (IQR).
As Mr Simpson's class has a greater IQR and range than Mr Johnson's class, the data in Mr Simpson's class is more spread out than in Mr Johnson's class.
In summary, as Mr Simpson's class has a larger median 14.5 and a wider spread of data, then Mr Simpson's class lost the most pencils overall.
in the fruit bowl there are 12 bananas 8 apples and 4 oranges. do for every one orange there are ___ bananas
Answers
For every 1 orange in the fruit bowl there are three bananas.
According to the question,
We have the following information:
In the fruit bowl there are 12 bananas, 8 apples and 4 oranges.
Now, in order to find the number of bananas in this fruit bowl for 1 orange can be as written below:
4 oranges = 12 bananas
Now, to find the number of bananas for 1 orange, we will divide the total number of bananas by the number of oranges.
So, we have the following expression:
1 orange = 12/4 bananas
1 orange = 3 bananas
Hence, for every 1 orange in the fruit bowl there are three bananas.
To know more about orange in the fruit bowl here
https://brainly.com/question/25727207
#SPJ1
What kind of transformation converts the graph of f(x) = -x - 10 into the graph of g(x)
-9x - 10?
horizontal stretch
vertical stretch
vertical shrink
horizontal shrink
=
Answers
Answer:
zeroay horizontal stretch vertical shrink
Step-by-step explanation:
1+1=2
)Hannah's electricity company charges her $0.15 per kWh (kilowatt-hour) of electricity, plus a basic connection charge of $25.00 per month. Write a linear function that models her monthly electricity bill as a function of electricity usage.
Answers
Answer:
Linear function: y = 24x + 25
Step-by-step explanation:
24 hours = 1 day
30 days = 1 month
0.15 x 24 = 6
30 x 6 = 180
180 + 25 = 205
Linear function: y = 24x + 25
Hope this helps! :)
A lock has two digit numeric code, with the numbers 1 through 7 available for each digit of the code. Note that numbers can be repeated in the code so there are 7 possibilities for each two digits. Find the total number of possible codes for the lock.
Answers
1,1 2,1 3,1 4,1 5,1 6,1 7,1
1,2 2,2 3,2 4,2 5,2 6,2 7,2
1,3 2,3 3,3 4,3 5,3 6,3 7,3
1,4 2,4 3,4 4,4 5,4 6,4 7,4
1,5 2,5 3,5 4,5 5,5 6,5 7,5
1,6 2,6 3,6 4,6 5,6 6,6 7,6
1,7 2,7 3,7 4,7 5,7 6,7 7,7
Therefore there are 49 possible combinations :)
A board that measures 19.5 meters in length is cut into two pieces. One piece measures 7.2 meters. What is the length of the other piece?
Answers
The required length of the other piece of the board is 12.3 meters.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
To find out the length of the other piece we need to subtract the length of one piece from the original length of the board,
So,
Length of the other piece = 19.5 - 7.2 meters
= 12.3 meters
Thus, the required length of the other piece of the board is 12.3 meters.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ1
What is the value of p?
10p+5=18p–6
____
2
p=−8
p=−18
p = 4
p = 8
Answers
Answer:
p = - 8
Step-by-step explanation:
we have to subtract by the number 18p from each of your sides
Like: 10p + 5 - 18p
= 18p -3 -180
This gives us: -8p + 5 = -3
Nextly, we have to subtract by 5 on each of your sides
Like: -8p + 5 - 5
= -3 - 5
This gives us: -8p = -8
Now we have divide by the -8 on each of your sides:
Like: -8p ÷ -8
= -8 ÷ -8
Answer: p = 1
Step-by-step explanation:
\(10p + 5 = 18p - \frac{6}{2} \\ collecting \: like \: terms \: \\ 10p - 18p = - \frac{6}{2} - 5 \\ 8p = - \frac{11}{2} \\ 8p = - 5.5 \\ p = - \frac{5.5}{8} \\ p = 0.68\)
selena has brought some fruit to make a fruit salad
Answers
Answer: yum!!!
Step-by-step explanation:
Answer: 575
Step-by-step explanation:
1. Find the value of x for which is parallel to m. The figure is not to scale. 60 150 90 30 30° Y 60° ро
Answers
The value of x for which the two lines are parallel is given as follows:
x = 60º.
What are consecutive interior angles?We have two parallel lines that are cut by a transversal, and the two angles are between the parallel lines and on the same side of the transversal, meaning that they are consecutive interior angles.
Consecutive interior angles are supplementary, meaning that the sum of their measures is of 180º, hence the value of x can be found as follows:
x + 2x = 180
3x = 180º
x = 180º/3
x = 60º.
Missing InformationThe figure is given by the image presented at the end of the answer.
More can be learned about angle measures at brainly.com/question/24607467
#SPJ1
PLEASE HELP!!
At school athletic events you can buy 3 drinks and 2 hot dogs for $4.80, or you can buy 1 drink and 1 hot dog for $2.00. How much does 1 hot dog cost?
A. $0.80
B. $0.96
C. $1.00
D. $1.20
Answers
1 hot dog cost is $1.20 .
What is costs?
A cost is the value of money that has been expended to produce something or provide a service and is therefore no longer available for use in production, research, retail, and accounting. In the case of an acquisition cost, the money spent on the acquisition is considered the cost.
Let's say that each drink costs $x and each hot dog costs $y.
Using the provided information, 3 drinks and 2 hot dogs cost $4.80. In equation form, it reads as follows:
3 x+2 y=4.80
1 drink and 1 hot dog costs $2.00. In equation form, we can write it as:
x+y=2
x=2-y
Using this value of x in first equation, we get:
3(2-y)+2 y=4.80
6-3 y+2 y=4.80
6-y=4.80
y=6-4.80
y=1.20
Thus the cost of one hot dog is 1.20$
To learn more about cost visit:https://brainly.com/question/15135554
#SPJ1
Use the specified row transformation to change the given matrix.6R_1+R_2
Answers
ANSWER:
\(6\cdot R_1+R_2=\begin{bmatrix}{0} & 39 & {23} \\ {-6} & {9} & {-1} \\ {3} & {7} & {0}\end{bmatrix}\)STEP-BY-STEP EXPLANATION:
We have the following matrix:
\(\begin{bmatrix}{1} & 5 & {4} \\ {-6} & {9} & {-1} \\ {3} & {7} & {0}\end{bmatrix}=\begin{cases}R_1 \\ R_2 \\ R_3\end{cases}\)Now, we apply the following changes
\(\begin{gathered} 6\cdot R_1+R_2 \\ 6\cdot R_1=\begin{bmatrix}{6\cdot1} & 6\cdot5 & 6\cdot{4} \\ {-6} & {9} & {-1} \\ {3} & {7} & {0}\end{bmatrix}=\begin{bmatrix}{6} & 30 & {24} \\ {-6} & {9} & {-1} \\ {3} & {7} & {0}\end{bmatrix} \\ 6\cdot R_1+R_2=\begin{bmatrix}{6+(-6)} & 30+9 & {24+(-1)} \\ {-6} & {9} & {-1} \\ {3} & {7} & {0}\end{bmatrix}=\begin{bmatrix}{0} & 39 & {23} \\ {-6} & {9} & {-1} \\ {3} & {7} & {0}\end{bmatrix} \\ 6\cdot R_1+R_2=\begin{bmatrix}{0} & 39 & {23} \\ {-6} & {9} & {-1} \\ {3} & {7} & {0}\end{bmatrix} \end{gathered}\)How do I solve this
4 - 2 3/9 =
Answers
Answer:
1 2/3.
Step-by-step explanation:
4 - 2 3/9
= 4 - 2 1/3
= 4 - 7/3
= 12/3 - 7/3
= 5/3
= 1 2/3
What is the soulution to the equation 4x — 2x = 12
Answers
Answer:
x = 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
4x - 2x = 12
Step 2: Solve for x
Combine like terms: 2x = 12Isolate x: x = 61) Note the following polynomial:
6 + 9x^2 + 3x^3 + 2x^4 - 12x
Part A) Rewrite the polynomial in standard form.
Part B) What is the degree of this polynomial ?
Part C) Use the Rule of Signs to determine the options of possible number of positive zeroes, negative zeroes and complex zeroes
Part D) Use the rational root theorem to determine what positive or negative numbers could be the roots of this polynomial.
Part E) graph this polynomial. Present a sketch or a screenshot of graph please.
Part F) Based on your graph, how many positive, negative and complex zeroes does this polynomial have ?
PLEAS HELP AND SHOW WORK! 25 POINTS and DON"T FORGET ABOUT THE GRAPH!
Answers
The powers, (index) and coefficients of the polynomial indicates;
(A) The standard form is; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6
(B) 4
(C) Positive zeroes; 2 or 0, negative zeroes; 0 or 2, complex zeroes; 0 or 2 or 4
(D) ±1/2, ±1, ±3/2, ±2, ±3, ±6
(E) Please find attached the graph of the polynomial created with MS Excel
(F) Four complex roots
What is a polynomial?A polynomial is a mathematical expression that consists of variables and coefficients joined together by addition, subtraction and multiplication, with the exponents of the variables consisting of positive integer values.
Part A) The polynomial in standard form is; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6
Part B) The degree of the polynomial is 4, as the highest power of the polynomial is 4
Part C) The use of the Rule of Signs, to determine the options for the number of positive zeroes, negative zeroes and complex zeroes, can be presented as follows;
Positive zeroes options; The number of time the signs coefficients of the expression; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6, changes are two as follows;
+6 to -12, and from -12 to +9, therefore, the number of possible positive zeroes are 2 or 0, positive zeroes
The negative zeroes options; The negative zeroes options can be found by changing the sign of all the coefficients as follows; -2·x⁴ - 3·x³ - 9·x² + 12·x - 6, therefore, the number of times the sign of the coefficients change are again from -6 to +12, and from +12 to -9, which is 2 times, therefore;
The possible number of negative zeros are 2 or 0, negative zeroes
Whereby there are possibly 0 negative zeros and 0 positive zeroes, the possible number of complex zeroes are 4
Whereby there are 2 negative zeros and 0 positive zeroes, the possible number of complex zeroes are 2 complex zeroes
Whereby there are possibly 0 negative zeros and 2 positive zeroes, the possible number of complex zeroes are 2 complex zeroes
Part D) The rational roots theorem indicates that for a polynomial the rational roots are in the form p/q, where p is a factor of the constant term, and q is a factor of the leading coefficient.
The constant term is 6, and the leading coefficient is 2. The factors of 6 are ±1, ±2, ±3, and ±6 and the factors of 2 are; ±1, ±2 therefore;
p/q = ±1/1, ±2/1, ±3/1, ±6/1, ±1/2, ±2/2, ±3/2, ±6/2, which can be summarized as; ±1/2, ±1, ±3/2, ±2, ±3, ±6
Part E) Please find attached a screenshot of the graph of the polynomial created with MS Excel
Part F) The attached graph of the polynomial, created with MS Excel, indicates that there are no real zeros of the polynomial, therefore, there are four complex zeroes of the polynomial
Learn more on polynomials here: https://brainly.com/question/29257478
#SPJ1
The table below shows the weights of three packages that were mailed at a post office Package Weight (pounds) 11 0.77 2 2.9 3 11.12 Which is the best estimate of the total weight, in pounds, of the three packages? O A 3 O B. 4 O C. 5 O D. 6
Answers
The given table is
Package Weight
What is the probability of drawing a heart card from a full deck of cards and
randomly selecting the letter j from a list of the alphabet?
a) 26.92%
Ob) 23%
c) 3.85%
Od d) 0.82%
Answers
Answer:
26.92%
Answer choice “A”
Explanation:
14 cards of hearts in a deck out of 52.
14/52 = 26.92%
The probability of drawing a heart card from a full deck of cards is 26.92%
What is Probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Experiment: A trial or an operation conducted to produce an outcome is called an experiment.
Sample Space: All the possible outcomes of an experiment together constitute a sample space. For example, the sample space of tossing a coin is head and tail.
Favorable Outcome: An event that has produced the desired result or expected event is called a favorable outcome. For example, when we roll two dice, the possible/favorable outcomes of getting the sum of numbers on the two dice as 4 are (1,3), (2,2), and (3,1).
Trial: A trial denotes doing a random experiment.
As, we know there we have 14 cards of hearts in a deck out of 52.
So,
probability of drawing a heart card from a full deck of cards
=14/52
= 26.92%
Learn more about probability here:
https://brainly.com/question/11234923
#SPJ2
Here's a graph of a linear function. Write the
equation that describes that function.
8
Express it in slope-intercept form.
Enter the correct answer
000
DONE
Call
?
-8
-6
-4
-4
-6
-8
Answers
Answer:
y = 3/2x + 1
Step-by-step explanation:
I hope this helps
The equation of the linear function in slope intercept form is y = 3/2 x + 1.
What is the Equation of line in Slope Intercept form?Equation of a line in slope intercept form is y = mx + b, where m is the slope of the line and b is the y intercept, which is the y coordinate of the point where it touches the Y axis.
Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Slope = Change in y coordinates / Change in x coordinates
The line passes through (0, 1) and (-2, -2).
Slope = (-2 - 1) / (-2 - 0)
= -3 / -2
= 3/2
The line touches the Y axis at (0, 1).
So the y intercept is 1.
So the equation in slope intercept form is,
y = 3/2 x + 1.
Hence the equation is y = 3/2 x + 1.
Learn more about Slope Intercept form here :
https://brainly.com/question/29146348
#SPJ7
am I correct? Somone please help
Answers
Answer:
≠Step-by-step explanation:
7/5 = 1.4
15/10 = 1.5
so 7/5 is not equal to 15/10
the good answer is ≠Can someone please help me with these two I will mark u brilliant
Answers
Answer:
The first answer is $4.97. The second answer is 1 over 16.
Step-by-step explanation:
For the first question you have to subtract the money that the total price, $26.73 from the money that she has, $21.76 and you will get the find the difference that she needs.
For the second question think about it as mulitplying one quarter 4 times. So 1 multiplied four times still remains one and 4 x 4 is 16.
Name: Salem A
Score:
Unit # 12 - Lesson #4 Exit Ticket: The spinner shown below has
three sections. If the pointer is spun one time, which number is it
most likely to land on? Explain your choice.
3
1
2
Answers
The number the spinner is most likely to land on is 2
Which number is it most likely to land on?From the question, we have the following parameters that can be used in our computation:
The spinner
From the spinner, we have the number that covers the largest area to be 2
i.e.
Largest area = 2
This means that the number it is most likely to land on is 2 and it has the highest probability
Read more about probability at
https://brainly.com/question/31649379
#SPJ1
Solve the inequality and graph the solution on the line provided. 6x-6<-30
Answers
The solution to the inequality 6x - 6 < -30 is x < -4, and it is graphically represented as a closed circle at -4 and shading to the left of -4 on the number line.
To solve the inequality 6x - 6 < -30, we can follow these steps:
Step 1: Add 6 to both sides of the inequality to isolate the variable:
6x - 6 + 6 < -30 + 6
6x < -24
Step 2: Divide both sides of the inequality by 6 to solve for x:
(6x)/6 < (-24)/6
x < -4
The solution to the inequality is x < -4. This means that any value of x less than -4 will satisfy the inequality.
To graph the solution on the number line, we represent -4 as a closed circle (since it is not included in the solution) and shade the region to the left of -4 to indicate all values less than -4.
On the number line, mark a point at -4 with a closed circle:
<--------●-----------------
Then, shade the region to the left of -4:
<--------●================
The shaded region represents the solution to the inequality x < -4.
For more such question on inequality visit:
https://brainly.com/question/30238989
#SPJ8
Find two consecutive whole numbers that 54 lies between.
Answers
What two consecutive whole numbers are less than and more than 7.35?
The two consecutive whole numbers that 54 lies between are 27 and 28, since 54 is greater than 27 and less than 28.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
To find two consecutive whole numbers that 54 lies between, we can start by dividing 54 by 2 and rounding down to the nearest whole number since we want two consecutive numbers that are less than and greater than 54:
54 ÷ 2 = 27
So the two consecutive whole numbers that 54 lies between are 27 and 28, since 54 is greater than 27 and less than 28.
To learn more about the division;
https://brainly.com/question/13263114
#SPJ2
Which derivation rule justifies the following argument? If n is a multiple of 8, then n is even. However, n is not even. Therefore, n is not a multiple of 8. O double negation O simplification De Morgan's Laws O modus ponens O modus tollens
Answers
Commutativity justifies the statement, of If n is a multiple of 8, then n is even. However, n is not even. Therefore, n is not a multiple of 8.
Commutativity is used in Maths equations and describes sums that can be moved around and will still give the same answer.
'Commutative' comes from the word 'commute' which means to move and travel around, so equations that are commutative have numbers that can be moved within the equation.
commutative law, in mathematics, is either of two laws relating to number operations of addition and multiplication that are stated symbolically as a + b = b + a and ab = ba.
To know more about Commutativity:
https://brainly.com/question/778086
#SPJ4
List all number sets that apply to 38
Answers
Answer:
Natural numbers whole numbers integers and Rational numbers
A scientist wanted to measure the constant rate of the current in a particular section of the river. She released a tracker into the river. The tracker sent her back the following information:
After 3.5 seconds since the tracker was released into the river the tracker had traveled 5.5 meters.
After 10.9 seconds since the tracker was released into the river the tracker had traveled 16.5 meters.
What is the constant rate of the current?
Answers
Answer:
1.486m/s
Step-by-step explanation:
The rate of change is defined as the change in distance divided by the change in time
Rate = ∆distance/∆time
Distance = 16.5 and 5.5
Time = 10.9 and 3.5
When we put this into the formula above, we have:
Rate of change = 16.5 - 5.5 / 10.9 - 3.5
= 11/7.4
= 1.486m/s
The constant rate of change has been calculated to be equal to 1.486m/s
You can use the fact that the rate of the change of a value when some other independent value changes is the ratio of change in the dependent variable to the change in the independent variable.
The constant rate of the current is given by 1.4865 meters per second.
How to measure the rate of change of something as some other value changes?Suppose that we have to measure the rate of change of y as x changes, then we have:
\(Rate = \dfrac{y_2 - y_1}{x_2 - x_1}\)
where we have
\(\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2\)
Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.
(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)
How to measure the constant rate of the current for the given situation?The distance traveled by the tracker depends on the time passed.
Let the variable "t" tracks the amount of time passed and let the variable "d" tracks the distance traveled by the tracker, then we have:
\(\rm At \: t = t_1 = 3.5, d=d_1 = 5.5 \: m\\At \: t = t_2 = 10.9, d = d_2 = 16.5 \: m\)
Thus, the constant rate of current is obtained by
\(Rate = \dfrac{d_2 - d_1}{t_2 - t_1} = \dfrac{16.5 - 5.5}{10.9 - 3.5} = \dfrac{11}{7.4} \\\\Rate \approx 1.4865 \: \text{meters per second}\)
Thus,
The constant rate of the current is given by 1.4865 meters per second.
Learn more about rate of change here:
https://brainly.com/question/2460159
a group of hikers is progressing steadily along up uphill trail. the graph shows their elevation
Answers
I really need help on this question. I have attached it thx. Do all the questions I have put on it so the answer and units.
Answers
Answer:
14 cm
Step-by-step explanation:
The formula for circumference of a circle is 2πr, where r is the radius. In this problem, the circumference would be 2π * 7cm = 14 cm
PLZZZZ Hurry I’m in a rush
Answers
Answer:
y=10
Step-by-step explanation:
2y+3+9y-7+7y+4=180
18y=180
y=10
I need help with this!
Answers
Answer:
i) \(\frac38\pi\)
ii) n = 33
Step-by-step explanation:
For this question you can actually focus on the sine, and forget about the e power. The x-coordinates of the extremes of the curve will be the same as for y=sin(4x)
i) equivalent to solving sin(4x) = -1, so 4x = 3/2 pi, x=3/8 pi
ii) The Tn values are at x = (n·π - π/2)/4
solving (n·π - π/2)/4 > 25 gives:
n > 1/2 + 100/π, so n > 32.331, but n must be integer, so we get n=33