Answer:
a) 23.0769% increase
b) 9.375% decrease
Step-by-step explanation:
what is the median of the scores in this stem-and-leaf plot? 75 75 76 76 77 77 78
Answer:
The median of the scores in this stem-and-leaf plot is 78
Step-by-step explanation:
The total data set represented by Stem and leaf in order from the least to the greatest are as following:
58, 59, 64, 64 , 66, 68, 72, 74, 75, 76, 78, 79, 83, 84, 86, 87, 88, 91, 93, 93, 95
The number of data is 21
The median of the data at the place number 11
So, median = 78
7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 and 18 Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7 g(x) = { vt ++3 dt Jo Answer 8. g(x) = {* In (1+tº) dt
By using Fundamental Theorem of Calculus, we find the derivative of the function g(x) = In { sqrt( t + t^3)dt } limit from x to 0 is ln(sqrt(x + x^3)). The derivative of the function g(x) = { In (1+t^2) dt} where limit are from x to 1 is ln(1 + x^2).
The Fundamental Theorem of Calculus, which states that if a function is defined as the definite integral of another function, then its derivative is equal to the integrand evaluated at the upper limit of integration.
So, applying this theorem, we have:
g'(x) = d/dx [∫x_0 ln(sqrt(t + t^3)) dt]
= ln(sqrt(x + x^3)) * d/dx (x) - ln(sqrt(0 + 0^3)) * d/dx (0)
= ln(sqrt(x + x^3))
Therefore, g'(x) = ln(sqrt(x + x^3)).
Using the Fundamental Theorem of Calculus, we have:
g'(x) = d/dx [∫1_x ln(1 + t^2) dt]
= ln(1 + x^2) * d/dx (x) - ln(1 + 1^2) * d/dx (1)
= ln(1 + x^2)
Therefore, g'(x) = ln(1 + x^2).
To know more about Fundamental Theorem of Calculus:
https://brainly.com/question/30761130
#SPJ4
____The given question is incomplete, the complete question is given below:
Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7 g(x) = In { sqrt( t + t^3)dt } limit from x to 0. 8. g(x) = { In (1+t^2) dt} where limit are from x to 1.
in what situation are we supposed to use tan inverse
\(\huge\bold\green{ANSWER}\)
The inverse trig ratios, you can find the angle measure, given two sides.
Inverse Tangent: If you know the opposite side and adjacent side of an angle in a right triangle, you can use inverse tangent to find the measure of the angle.
2 parallelograms have identical side lengths and angle measures. The second parallelogram is a reflection of the first.
Which transformation maps the pre-image, DEFG, to the image, D'E'F'G'?
The transformation is a stretch.
The transformation is a reflection.
The transformation is a rotation.
The transformation is a translation.
The answer is, The transfοrmatiοn is a reflectiοn.
What is Expressiοn?An algebraic expressiοn is a mathematical phrase that can cοntain οrdinary numbers, variables and οperatοrs.
The cοrrect transfοrmatiοn that maps the pre-image DEFG tο the image D'E'F'G' is a reflectiοn.
This is because a reflectiοn is a transfοrmatiοn that flips a figure οver a line, creating a mirrοr image οf the οriginal figure. In this case, the secοnd parallelοgram is a reflectiοn οf the first, sο the image is a mirrοr image οf the pre-image.
A stretch is a transfοrmatiοn that changes the size οf a figure, but dοes nοt change its shape οr οrientatiοn.
A rοtatiοn is a transfοrmatiοn that turns a figure arοund a fixed pοint.
A translatiοn is a transfοrmatiοn that mοves a figure withοut changing its shape, size, οr οrientatiοn.
To know more about Expression visit,
https://brainly.com/question/1859113
#SPJ1
Abby wants to ride her bicycle more than 70 miles this week. on Monday I'll be wrote her by school for 25 miles. I'll be plans to ride the same number of miles in the next 6 days. write an inequality that can be used to determine the number of miles, m, that Abby will ride her bycicle each day to achieve her goal.
The number of miles rode by Abby each day is m.
The number of miles rode by Abby in one week (7days) is 7m.
The inequality can be determined as,
\(7m>70\)Thus, 7m>70 is the required inequality.
An airline claims that it rarely loses a passenger's checked luggage, and, if checked luggage is lost, 90% of the luggage is recovered and returned to the owner within 24 hours. A consumer group believes the 24-hour recovery rate of lost luggage is actually lower (worse) than the airline's claim. They surveyed a large random sample of the airline's customers and found that 103 of 122 people who had lost luggage were reunited with the missing items within 24 hours. Is this enough evidence to claim the proportion of people who lost luggage with this airline a
The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.
What is a null hypothesis?Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.
It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.
The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.
In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.
Learn more about hypothesis on:
brainly.com/question/15980493
#SPJ12
Find a counterexample to show that the given conjecture is false.
If n is a real number, then n³>n.
Let \(n=0\). Then \(0^3 = 0\) but 0 > 0 is a false statement.
Simply the expression
Answer:
12+27a
Step-by-step explanation:
3(4+9a)=3(4)+3(9a)=12+27a
Choose the correct simplification of 7x2(6x 3x2 − 4). 21x4 − 42x3 28x2 42x4 21x3 − 3x2 21x4 42x3 − 28x2 42x4 − 13x3 11x2
The simplification of 7x^2(6x + 3x^2 - 4) is 42x^3 + 21x^4 - 28x^2. The powers of x are multiplied accordingly, and the coefficients are distributed and combined.
To simplify the expression 7x^2(6x + 3x^2 - 4), we can distribute the 7x^2 to each term within the parentheses:
7x^2 * 6x + 7x^2 * 3x^2 - 7x^2 * 4
This simplifies to:
42x^3 + 21x^4 - 28x^2
Therefore, the correct simplification of the expression is 42x^3 + 21x^4 - 28x^2. The powers of x are combined accordingly, and the coefficients are multiplied accordingly. This simplification is obtained by applying the distributive property and combining like terms.
To know more about simplification,
https://brainly.com/question/2804192#
#SPJ11
A pizza has a diameter of 12in what is the Circumference
1 What is the cost to get into a Green Cab?
2 How much does it cost per mile for a Green Cab?
3 What is the equation, in slope-intercept form, that relates the cost compared to the miles traveled for a Green Cab?
Answer:
1. $5
2. $1 per mile
3.y=x+5
Step-by-step explanation:
1. If you look at the graph you can see that the cost for 0 miles with the Green Cab is $5
2.If you look at the graph, for each mile traveled, the cost is $1
3. Since for each increase 1 increase in x, y increases by the same amount, the slope is 1
y=mx+b is the slope intercept form
m=slope
b=y intercept
since we know the slope is 1 we can put it in
y=1x+b
=y=x+b
to find the y intercept we can look at the graph and see what y equals when x is 0.
the y intercept is (0,5)
we can put that in so the equation in slope intercept form is
y=x+5
Which point would be a solution to the system of linear inequalities shown below?
y>-4x+6 Y>1/3x -7
(9,-7)
(-12,-2)
(12, 1)
(-12,-7)
The point (9, -7) is the only solution to the system of linear inequalities given.
To determine which point would be a solution to the system of linear inequalities, let's substitute the given points into the inequalities and see which point satisfies both inequalities.
The system of linear inequalities is:
y > -4x + 6
y > (1/3)x - 7
Let's test each given point:
For the point (9, -7):
Substituting the values into the inequalities:
-7 > -4(9) + 6
-7 > -36 + 6
-7 > -30 (True)
-7 > (1/3)(9) - 7
-7 > 3 - 7
-7 > -4 (True)
Since both inequalities are true for the point (9, -7), it is a solution to the system of linear inequalities.
For the point (-12, -2):
Substituting the values into the inequalities:
-2 > -4(-12) + 6
-2 > 48 + 6
-2 > 54 (False)
-2 > (1/3)(-12) - 7
-2 > -4 - 7
-2 > -11 (False)
Since both inequalities are false for the point (-12, -2), it is not a solution to the system of linear inequalities.
For the point (12, 1):
Substituting the values into the inequalities:
1 > -4(12) + 6
1 > -48 + 6
1 > -42 (True)
1 > (1/3)(12) - 7
1 > 4 - 7
1 > -3 (True)
Since both inequalities are true for the point (12, 1), it is a solution to the system of linear inequalities.
For the point (-12, -7):
Substituting the values into the inequalities:
-7 > -4(-12) + 6
-7 > 48 + 6
-7 > 54 (False)
-7 > (1/3)(-12) - 7
-7 > -4 - 7
-7 > -11 (True)
Since one inequality is true and the other is false for the point (-12, -7), it is not a solution to the system of linear inequalities.
In conclusion, the point (9, -7) is the only solution to the system of linear inequalities given.
For similar question on inequalities.
https://brainly.com/question/28755685
#SPJ8
A researcher is investigating the effect of sleep deprivation on learning. She recruits 30 participants and randomly assigns half to a "no sleep" group and half to a "regular sleep" group. The "no sleep" group are required to stay up all night and report to a testing room at 2PM the following day. The "regular sleep" group are instructed to have a normal night's sleep and report to the testing room at 9AM the following day. Unfortunately, a water pipe broke outside the testing room window and there was noisy construction crew working the whole day of testing. Which of the following statements is true?
a. The study may be affected by a situational variable.
b. The construction noise may contribute to variability in test scores.
C. The study has a confounding variable. The groups differ in the time they are to report to the testing room.
d. All of these are true.
The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.
The statement that is true is: d. All of these are true.Explanation:A study may have various sources of variability, including participant selection, the setting in which the study is conducted, and the measure used. The following options are as follows:a. The study may be affected by a situational variable.b. The construction noise may contribute to variability in test scores.c. The study has a confounding variable. The groups differ in the time they are to report to the testing room.d. All of these are true.Therefore, all of these options are true. For example, the study may be affected by a situational variable if a natural disaster or other unforeseen event happens that causes the study to be disrupted. In this case, the study was disrupted by a noisy construction crew, which may have contributed to variability in test scores. The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.
To know more about isolated visit:
https://brainly.com/question/32227296
#SPJ11
if you add a ten thousands digit that is 3 times the thousands digit to the number 3,721, what is the new number
Answer:
the answer is 93,721
5.solve for x. 6.solve for x.
Answer:
5. The sum of angles in a triangle is 180° so we can write:
9x - 16 + 3x + 11 + 7x - 5 = 180
19x - 10 = 180
19x = 190
x = 10°
6. Because the measure of an exterior angle is equal to the sum of its two remote interior angles we can write:
17x - 23 = 3x + 17 + 8x - 4
17x - 23 = 11x + 13
6x = 36
x = 6°
Answer:
5. The sum of angles in a triangle is 180° so we can write:
9x - 16 + 3x + 11 + 7x - 5 = 180
19x - 10 = 180
19x = 190
x = 10°
6. Because the measure of an exterior angle is equal to the sum of its two remote interior angles we can write:
17x - 23 = 3x + 17 + 8x - 4
17x - 23 = 11x + 13
6x = 36
x = 6°
Step-by-step explanation:
hope this helps
domain and range of piecewise functions calculator
Answer:
yes
Step-by-step explanation:
A probability model consists of the sample space and the way to assign probabilities.
A probability model consists of the sample space and the way to assign probabilities. The sample space is the collection of all possible outcomes of a random experiment. It can be finite, countably infinite, or uncountably infinite.
A probability model is a way of assigning probabilities to events in the sample space.The probability of an event is a measure of the likelihood that the event will occur. The probability of an event is always between 0 and 1, inclusive. A probability of 0 means that the event will never occur, while a probability of 1 means that the event is certain to occur. If an event has a probability of 0.5, then it is just as likely to occur as not to occur.The probability of an event can be calculated using different methods, depending on the type of experiment. For example, if the experiment is a coin toss, then the probability of getting heads is 0.5, and the probability of getting tails is also 0.5. If the experiment is rolling a six-sided die, then the probability of rolling a 1 is 1/6, the probability of rolling a 2 is 1/6, and so on.In summary, a probability model consists of the sample space and the way to assign probabilities. It is a mathematical framework used to quantify uncertainty in various fields such as statistics, physics, economics, and engineering. The probability of an event is a measure of the likelihood that the event will occur and is always between 0 and 1, inclusive.
Learn more about probability model here:-
https://brainly.com/question/33017819
#SPJ11
you are designing the same 3x3 factorial study above but are doing a within-subjects design. you need 10 participants for each cell. how many participants do you need in total?
When designing a 3x3 factorial study design with a within-subjects design and when 10 participants are assigned for each cell, the number of participants we require in total is 10.
Therefore, the answer is 10.
In a n×m factorial study design, the number of factors is the number of numbers, that is here 2 and the first factor is of n levels and second factor is of m levels.
So in 3x3 factorial study we have two factors each with 3 levels and the number of groups is 3 × 3 = 9.
In a within-subject design, all the participants take part in every group. So if there are 10 participants in a cell, these 10 participants are part of all groups. So we require only 10 participants in total for this study.
To know more on factorial study design
https://brainly.com/question/14837307
#SPJ4
You need enough carpet to cover the floor in a triangular room. How much carpet will you need? if necessary, round to the nearest tenth. A right triangle with side 15 feet and hypotenuse 20 feet. A. 175 square ft b. 13. 2 square ft c. 99 square ft d. 48. 2 square ft.
13.2 square ft area of carpet will you need .
What is a right-angle triangle, exactly?
A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees. The sum of the other two angles is 90 degrees.
The triangle's base and perpendicular sides both include the right angle. The hypotenuse, or third side, is the longest of the three. It is also known as the hypotenuse.
the area of rigth triangle
20² = 15² + x
400 = 225 + x²
x² = 400 - 225
x = 13.2
Learn more about right angle triangle
brainly.com/question/3770177
#SPJ4
Find the volume
of the figure below:
Step-by-step explanation:
Use Pythagorean theorem to find the base of the right triangle
221^2 = 195^2 + b^2
b = 104 km
triangle area = 1/2 base * height = 1/2 * 104 * 195 = 10140 km^2
Now multiply by the height to find volume
10140 km^2 * 15 km = 152100 km^3
help me with this question
Answer:
15/4
Step-by-step explanation:
The formula for slope is:
(y₂-y₁)/(x₂-x₁)
Now we plug in the coordinates given to us into the equation:
(5-(-10))/(-1-(-5))
15/4
At a pet store, Ms. Pike paid $34.75 for 5 dog bowls and 7 bones. Mr. Moore paid $20.50 for 3 dog bowls and 4 bones. Determine the cost of one dog bowl(x) and one bone(y).
Answer:
Step-by-step explanation:
t a pet store, Ms. Pike paid $34.75 for 5 dog bowls and 7 bones. Mr. Moore paid $20.50 for 3 dog bowls and 4 bones. Determine the cost of one dog bowl(x) and one bone(y).
What is the set of all elements in the universal set that are not in the set a called?
Complement of set A is the set of all elements in the universal set that are not in the set .
If there is a subset of the universal set (U) called A, then the complement of set A, denoted by the symbol A', is different from the elements of set A and contains the elements of the universal set but not the elements of set A.
In this case, A' = x U: x A.
In other words, the complement of a set A is the difference between the universal set and set A.
For example: U = {1, 2, 3, 5, 7, 9, 15 ,14, 13}, A = {1, 2, 3, 5,7,9}, find the complement of A.
A' = U - A = {1, 2, 3, 5, 7, 9, 15,14,13} - {1, 2, 3, 5,7,9} = {15,14, 13}
A set that contains items from all related sets, without any repetition of elements, is known as a universal set (often symbolised by the letter U). If A and B are two sets, for example, A = 1, 2, 3 and B = 1, a, b, c, then U = 1, 2, 3, a, b, c is the universal set that these two sets belong to.
know more about universal set click here
https://brainly.com/question/8053622
#SPJ4
A technician determines the concentration of calcium in milk using two instrumental methods. If Fcalculated > Ftable for the two sets of calcium data, what conclusion(s) can the technician make?
I. The difference in standard deviations for the two instrumental methods is significant.
II. The difference in standard deviations for the two instrumental methods is not significant.
III. The data comes from populations with the same standard deviation.
IV. The data does not come from populations with the same standard deviation
A) I and III
B) I and IV
C) II and III
D) II and IV
E)Only II
The correct answer is (B) I and IV.
If Fcalculated > Ftable, then the p-value is less than the significance level (usually 0.05), which means we reject the null hypothesis that the two sets of calcium data have the same variance. Therefore, the conclusion is that the difference in standard deviations for the two instrumental methods is significant. This corresponds to statement I.
Furthermore, if the null hypothesis is rejected, it means the alternative hypothesis is accepted, which is that the data does not come from populations with the same standard deviation. This corresponds to statement IV.
Know more about p-value here:
https://brainly.com/question/30182084
#SPJ11
Please help me, write the step by step explanation plz?
Answer:
i think the answer is 171,500 i don't know i am trying.
Step-by-step explanation:
first you multiply 35 times 3 you will get 85,750 then you multiply 10 times 2 you will 20 and multiply both of them and you will get 171,500.
According to a 2016 survey, 6 percent of workers arrive to work between 6:45 A.M. and 7:00 A.M. Suppose 300 workers will be selected at random from all workers in 2016. Let the random variable W represent the number of workers in the sample who arrive to work between 6:45 A.M. and 7:00 A.M. Assuming the arrival times of workers are independent, which of the following is closest to the standard deviation of W?
A. 0.24
B. 4.11
C. 4.24
D. 16.79
E. 16.92
Answer: B. 4.11
Step-by-step explanation:
Using Binomial distribution ( as the arrival times of workers are independent).
Formula for standard deviation: \(\sqrt{{p(1-p)}{n}}\), where p= population proportion, n= sample size.
As per given ,
p= 0.06, n=300
Required standard deviation= \(\sqrt{0.06\left(1-0.06\right)300}\)
\(=\sqrt{(0.06)(0.94)(300)}\\\\=\sqrt{16.92}\approx4.11\)
Hence, the correct option is B.
Mrs. Miller is measuring fabric for costumes for the school's musical. She
needs 10.5 meters of fabric. She has 140 centimeters of fabric. How much more
fabric does Mrs. Miller need?
Answer:
9.1 meters or 910 centimeters
Step-by-step explanation:
10.5 meters = 1050 centimeters
1050 - 140 = 910 centimeters
Christina goes to the market with $50.00. She buys four papayas at $2.75 each and spends the rest of the money on bananas. Each banana cost $1.18. Write an inequality for the number of bananas she can purchase.
Answer:33
Step-by-step explanation:
$50.00-(4. $2.75) = $50.00 - $11.00= $39.00
$39.00 / $1.18 =33
Answer:
33
Step-by-step explanation:
$50.00-(4. $2.75) = $50.00 - $11.00= $39.00
$39.00 / $1.18 =33
y=-2x + 5
Solve the equation in any method
A ship is stationary at sea. A tugboat is 28 km away at a bearing of 210°, and a yacht is 24 km from the tugboat at a bearing of 310°. Draw a scale diagram showing the positions of the three vessels. Use a scale of 1 cm : 4 km. Use your diagram to find the distance of the yacht from the ship to the nearest km. I’ll give brainliest i just need help please please help
Answer:
The distance between the yacht from the ship is about 33.6 km.
Step-by-step explanation:
The diagram is attached below.
Point A is the shipe, Point B is the tugboat, and Point C is the yacht.
Since the tugboat is 28 km away, and the scale being used is 1 cm : 4 km, the tugboat is 7 cm away from the ship at a 210° bearing on the diagram.
Likewise, the yacht is 6 cm away from the tugboat at a 210° bearing.
To find the distance between the yacht to the ship, we need to
yacht to the ship, we need to determine the value of x.
To do so, we can use the Law of Cosines:
b²a² + c²2ac cos(B) =
First, we need to determine ZB.
A has a bearing of 210°. 180° is covered by QI and IV. So, the small angle in QIII is 30°.
By Alternate Interior Angles, the angle in QI (inside the triangle) of Point B must also be 30°.
And since Point B has a bearing of 310°, 270° is covered in total by QI, QIV, and QIII. So, 40° is left in QII.
Therefore, 50° is the measure of the angle in QIII within the triangle of Point B.
Thus, ZB measures 50° + 30° = 80°.
So, ZB measures 80°. We also know that a = 6 and c= 7. Substitute:
b² = (6)² + (7)² - 2(6)(7) cos(80)
Simplify and take the square root of both sides. So:
b = √85-84 cos(80)
Approximate using a calculator:
b = 8.3912... ≈ 8.39 cm
Since 1 cm: 4km, to find the distance in km, we simply need to multiply by four. So:
⇒b= 4(8.3912...) = 33.5651 ≈
33.6 km
The distance between the yacht from the ship is about 33.6 km.
Step-by-step explanation:
hope it helps you itz admirer
The distance of the yacht from the ship will be 33.6km.
How to calculate the distance?From the information given, the tugboat is 28 km away at a bearing of 210°, and a yacht is 24 km from the tugboat at a bearing of 310°.
In this case, we can use the law of cosine formula to solve it and it will be:
b²= a² + c²2ac cos(B)
b² = 6² + 7² - (2 × 6 × 7)cos80°
b = 8.39
Therefore, since a scale of 1 cm : 4 km is used, the distance will be:
= 4 × 8.39
= 33.6km
Learn more about distance on:
https://brainly.com/question/17273444