The MCAT scores variable can predict some of the variation in the response variable.
The logistic regression model is a type of regression analysis that is widely used in various fields. A logistic model can be fitted using the glm() function in R. Now fit a logistic model with a single explanatory variable, MCAT scores.In logistic regression, the null deviance is the deviance for a model that has only the intercept. The null deviance will always be equal to the residual deviance if the model has only the intercept.The null deviance is calculated based on the difference between the saturated and null models' likelihoods. It is the amount of variation in the response variable that cannot be explained by the model when no predictor variables are used. When the single predictor variable MCAT scores is added to the null model, it reduces the null deviance by 11.59. This is significant because it indicates that the MCAT scores variable can predict some of the variation in the response variable.
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6. complete the interpretation for the p-value: if delta and united flights are (equally, not equally) on time, then the chance that we see a sample statistic of or any statistic (larger, smaller) is .
If delta and united flights are not equally on time, then the chance that we see a sample statistic of not equally or any statistic (larger or smaller) is larger, 0.05.
This is because the probability of a sample statistic being either larger or smaller (relative to the population) is always greater than the probability of it being equal. The p-value of 0.05 indicates that there is a 5% probability that the difference in on-time performance between Delta and United flights is due to chance.
The p-value of 0.05 indicates that there is a 5% chance that the observed sample statistic (of being larger or smaller than expected) is due to chance alone.
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The complete question is:
Complete the interpretation for the p-value:
If delta and united flights are (equally, not equally) on time, then the chance that we see a sample statistic of ______ or any statistic (larger, smaller) is _______ .
Some of the dimensions of a house are shown below.
Calculate the length u.
Give your answer in metres to 2 d.p.
56°
1.65 m
u
43°
Not drawn accurately
Using trigonometric relations we can see that u = 4.28m
How to find the length of u?First we can find the length of the shared side using the trigonometric relation:
tan(56°) = x/1.65m
1.65m*tan(56°) = x
2.45m = x
Then the length of the bottom side of the right triangle in the right side is iven by:
tan(43°) = 2.45m/y
Solving for y:
y = 2.45m/tan(43°)
y = 2.63m
Then the length of u is:
u = 1.65m + 2.63m = 4.28m
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a large bag contains marbles of different colors. there are 10 red marbles, 5 blue marbles and 7 yellow marbles. when selecting 3 marbles without replacement, find the probability of selecting 3 red marbles
A large bag contains marbles of different colors. there are 10 red marbles, 5 blue marbles and 7 yellow marbles. when selecting 3 marbles without replacement, the probability of selecting 3 red marbles is 1/54.
The probability of selecting 3 red marbles is 1/54.What is a probability?
Probability refers to the likelihood or chance of an occurrence. The probability of an event occurring is the ratio of the number of favourable outcomes to the total number of possible outcomes.
A fraction or a decimal is used to express it.The total number of marbles in the bag is 10 + 5 + 7 = 22 marbles.
There are ten red marbles in the large bag, so the number of ways to select 3 red marbles from ten red marbles is:
[tex]10C_3 = (10 \times 9 \times 8) / (3 \times 2 \times 1) = 120[/tex]
There are 22 marbles in the bag, therefore, the total number of ways to pick 3 marbles from 22 is:
[tex]22C_3 = (22 \times 21 \times 20) / (3 \times 2 \times 1) = 1540[/tex]
Hence, the probability of choosing 3 red marbles out of the 22 marbles in the bag without replacement is:120/1540 = 1/54
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Dante collects baseball cards. He would like to keep the cards in an album. He has 10 cards for each of 24 teams. How many album pages will he need if each page can hold 8 cards? Show your work. Draw a picture if it helps.
Answer: 30 album pages
Step-by-step explanation:
cards = 10
teams = 24
total cards = 240
240 / 8 = 30
7. Javier shared $280.00 among his siblings Juan, Micah and Savi. Savi received 4 times as much as Juan and Micah received 1/2 of Savi's share and Juan got the balance Calculate Micah's share.
Micah received 1/2 of Savi's share and Juan got the balance.
What is unitary method?"A method to find a single unit value from a multiple unit value and to find a multiple unit value from a single unit value."
We always count the unit or amount value first and then calculate the more or less amount value.
For this reason, this procedure is called a unified procedure.
Many set values are found by multiplying the set value by the number of sets.
A set value is obtained by dividing many set values by the number of sets.
According to our question-
total amount = $280=x
savi= 4*juan= 11
micah= 1/2 savi= 1/2*280/100= 1.4
juan got balance= 267.6
Hence, Micah received 1/2 of Savi's share and Juan got the balance.
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17. The points (0, b) and
(a, b) are graphed on a coordinate plane. What
is the distance between the points? Explain.
Therefore, the distance between the two points is simply the difference in their x-coordinates, this makes sense since both points lie on the same horizontal line, and so the vertical distance between them is zero.
What is distance?Distance is a numerical measurement of how far apart two objects or points are from each other. It is a scalar quantity that is usually expressed in units of length, such as meters, kilometers, miles, or feet. Distance is often used in physics, mathematics, and engineering to describe the spatial separation between two objects or points. It is also used in everyday language to describe how far away something is, such as the distance between two cities or the distance from a person's house to their workplace.
By the question.
The distance between two points on a coordinate plane can be found using the distance formula:
distance =[tex]\sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-x_{1}^{2} ) }[/tex]
In this case, the two points are (0, b) and (a, b). We can substitute these values into the distance formula:
distance = [tex]\sqrt{(a-0)^{2}+(b-b)^{2} }[/tex]
distance = [tex]\sqrt{a^{2}+0 }[/tex]
distance = a
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(01.03 mc) a cell phone company charges $400 for a new phone and then $50 each month after the purchase. if c (t) is a rational function that represents the average monthly cost of owning the cell phone, what is the range of the function?
the range of the function is at least $400 plus $50 for each month after the purchase. The average monthly cost of owning the cell phone can be represented as:
C(t) = 400 + 50t
Where t is the number of months after the purchase.
Since C(t) is a linear function, its range is all real numbers greater than or equal to 400, since the initial cost of the phone is 400 and the monthly cost is a positive constant. Therefore, the range of C(t) is:
Range of C(t) = {C(t) | C(t) ≥ 400} or [400, ∞)
In other words, the range of the function is all possible average monthly costs of owning the phone, which is at least $400 plus $50 for each month after the purchase.
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when converting to a new system, which cutover method is the most conservative? a. data coupling cutover b. parallel operation cutover c. phased cutover d. cold turkey cutover
The most conservative cutover method when converting to a new system is the Phased Cutover.
This method allows for the implementation of the new system in multiple stages, thereby reducing risk. First, the new system is installed and tested. Next, a small portion of data is moved to the new system.
After data is moved, the new system is tested again. This process is repeated until all data has been moved and tested, and the new system is running smoothly.
Once the new system is running successfully, the old system is discontinued.
The phased cutover method ensures that the new system is functioning correctly, and gives time for system users to get used to the new system, before the old system is turned off.
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A rental car company charges $74. 90 per day to rent a car and $0. 13 for every mile driven. Tyee wants to rent a car, knowing that:
He plans to drive 175 miles. He has at most $210 to spend. Write and solve an inequality which can be used to determine
�
x, the number of days Tyee can afford to rent while staying within his budget
Tyee can afford to rent the car for at most 2 days while staying within his budget.
Let x be the number of days Tyee can rent the car within his budget.
The total cost of renting the car will be the sum of the daily rental fee and the cost of miles driven:
Total cost = rental fee + (cost per mile x miles driven)
Using the given information, we can write the inequality:
74.90x + 0.13(175)x ≤ 210
Simplifying the expression, we get:
74.90x + 22.75x ≤ 210
97.65x ≤ 210
x ≤ 2.15
Therefore, Tyee can afford to rent the car for at most 2 days while staying within his budget.
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[tex] \frac{cos9 + \sin9 }{cos9 - sin9} = tan54[/tex]
Prove the above question
To Prove :
[tex] \sf \dfrac{\cos9\degree + \sin9\degree }{\cos9\degree- \sin9\degree} = \tan54\degree \\ \\ [/tex]
[tex] \sf LHS = \dfrac{\cos9\degree + \sin9\degree }{\cos9\degree- \sin9\degree} \\ \\ [/tex]
[tex] \sf RHS = \tan54\degree \\ \\ [/tex]
Solving for LHS :
Divide numerator and denominator by cos9°
[tex]\longrightarrow \: \: \sf\dfrac { \dfrac{ \cos9\degree}{ \cos9\degree} + { \dfrac{\sin9}{ \cos9} }}{ \dfrac{ \cos9\degree }{ \cos9\degree} - { \dfrac{ \sin9\degree}{ \cos9\degree}}} \\ \\ [/tex]
[tex] \longrightarrow \: \: \sf\dfrac{1 + { \dfrac {\sin9\degree}{ \cos9\degree}} }{1 - { \dfrac{ \sin9\degree}{ \cos9\degree} }} \\ \\ [/tex]
[tex]\longrightarrow \: \: \sf \dfrac{1 + \tan9\degree}{1 - \tan9\degree} \\ \\ [/tex]
[tex]\longrightarrow \: \: \sf{ \dfrac{ \tan45 \degree + \tan9\degree}{1 - \tan45 \degree \tan9 \degree}} \: \: \: \: \: \: \: \sf \red{\bigg( \tan(A + B) = \dfrac{ \tan A + \tan B}{1 - \tan A \tan B} \bigg)} \\ \\ [/tex]
[tex]\longrightarrow \: \: \sf \tan(45\degree + 9\degree) \\ \\ [/tex]
[tex]\longrightarrow \: \: \sf \tan54 \degree[/tex]
LHS = RHS
Hence, proved!!the anterior cruciate ligament (acl) is one of the ligaments that help stabilize the knee. surgery is often recommended if the acl is completely torn, and recovery time from the surgery can be lengthy. a medical center developed a new surgical procedure designed to reduce the average recovery time from the surgery. to test the effectiveness of the new procedure, a study was conducted in which 210 patients needing surgery to repair a torn acl were randomly assigned to receive either the standard procedure or the new procedure. (a) based on the design of the study, would a statistical
The outcomes of the statistical analysis can give medical professionals and patients important knowledge regarding the possible advantages of the new procedure.
what is probability ?The study of random events or phenomena is the focus of the mathematical field of probability. It is a way to gauge how likely something is to happen. It is represented by a number between 0 and 1, where 0 denotes the event's impossibility and 1 denotes its certainty. There are numerous ways to calculate probabilities, including utilizing theoretical or mathematical models, empirical data, and experimental data.
given
A statistical analysis would be useful to evaluate the effectiveness of the novel technique to the standard procedure based on the study's design.
The recovery periods of the two patient groups might be compared using statistical techniques like hypothesis testing and confidence intervals to assess the efficacy of the new therapy.
Researchers can establish whether the new approach is statistically significantly superior than the usual procedure in terms of minimizing recovery time by comparing the recovery times of the two groups.
The outcomes of the statistical analysis can give medical professionals and patients important knowledge regarding the possible advantages of the new procedure.
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g the sequence is decreasing and bounded below by 0. explain in clear english (briefly) why this means it must have a limit.
Since the sequence is always decreasing and cannot go below the lower bound, it becomes increasingly closer to the lower bound, and thus converges to a limit.
A sequence is said to be decreasing if each term is smaller than the previous one, and bounded below if there exists a lower bound such that no term in the sequence is smaller than this bound. In this case, the sequence is decreasing and bounded below by 0.
When a sequence is both decreasing and bounded below, it must have a limit because the terms cannot continue to decrease indefinitely, as they cannot go below the lower bound (in this case, 0). This means that as we progress through the terms of the sequence, the difference between consecutive terms will decrease and eventually approach a constant value.
The limit of a sequence is a value that the terms of the sequence approach as they get closer and closer to the end. In this situation, the limit is the smallest possible value that the sequence can approach, without going below the lower bound.
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find the next two terms 9.56,9.57,9.58,9,59
The next two terms in this arithmetic progression is 7.60 and 7.61.
What is arithmetic progression?An arithmetic prοgressiοn (AP) is a sequence where the differences between every twο cοnsecutive terms are the same. Fοr example, the sequence 2, 6, 10, 14, … is an arithmetic prοgressiοn (AP) because it fοllοws a pattern where each number is οbtained by adding 4 tο the previοus term. A real-life example οf an AP is the sequence fοrmed by the annual incοme οf an emplοyee whοse incοme increases by a fixed amοunt οf $5000 every year.
We know the Arithmetic progression formula:
[tex]\rm a_{n}=a_{1}+(n-1)d[/tex]
[tex]\rm a_n[/tex] = the nᵗʰ term in the sequence
[tex]\rm a_1[/tex] = the first term in the sequence
d = the common difference between terms
Here 4 terms are given
5th and 6th terms are to be found,
Thus,
a₁ = 9.56
d = (9.56 -9.57) = 0.01
n = 5
Then
5th term is :
aₙ = a₁ + (n - 1)d
aₙ = 9.56 + (5 - 1)0.01
aₙ = 9.56 + (4)0.01
aₙ = 9.56 + 0.04
aₙ = 7.60
6th term is :
aₙ = a₁ + (n - 1)d
aₙ = 9.56 + (6 - 1)0.01
aₙ = 9.56 + (6)0.01
aₙ = 9.56 + 0.05
aₙ = 7.61
Thus, The next two terms in this arithmetic progression is 7.60 and 7.61.
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In a sale, the normal price of a boat is reduced by 15%
The sale price of the boat is £272 000
Work out the normal price of the boat.
Answer:
£320 000
Step-by-step explanation:
Let x = original price of the boat.
When you reduce a price by 15%, what percent remains in the sale price?
100% - 15% = 85%
After reducing the price of the boat by 15%, the sale price is 85% of the original price.
85% of x = £272 000
0.85x = 272 000
Divide both sides by 0.85
x = 320 000
Answer: £320 000
Factor out the GCF from the polynomial.
3x³y² - 9xz4 + 8y²z
The expression 3x³y² - 9xz⁴ + 8y²z have no GCF greatest common factor but the terms 3x³y² and 8y²z have GCF equal to y².
What is (GCF) greatest common factor?The GCF defines the highest common factor present in between given two or more numbers or algebraic expressions.
we shall determine the GCF greatest common factor for the algebraic expression 3x³y² and 8y²z as follows:
3x³y² = y² × 3x³
8y²z = y² × 8z
both terms 3x³y² and 8y²z have y² common to them, so we can write;
3x³y² + 8y²z = y² × 3x³ + y² × 8z
3x³y² + 8y²z = y²(3x³ + 8z)
In conclusion, the expression 3x³y² - 9xz⁴ + 8y²z have no GCF greatest common factor but the terms 3x³y² and 8y²z have GCF equal to y².
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each page number of a 488-page book is printed one time in the book. the first page is page 1 and the last page is page 488. when printing all of the page numbers, how many more 4's are printed than 8's?
the number of more 4's printed than 8's is 188 - 59 = 129.
We can approach this problem by counting the number of times the digit 4 appears and the number of times the digit 8 appears in the page numbers from 1 to 488.
First, let's count the number of times the digit 4 appears. We can break down the counting into three cases:
The digit 4 appears in the units place (page numbers 4, 14, 24, ..., 484): there are 49 such page numbers (from 4 to 484, incrementing by 10).
The digit 4 appears in the tens place (page numbers 40 to 49, 140 to 149, ..., 440 to 449): there are 50 such page numbers.
The digit 4 appears in the hundreds place (page numbers 400 to 488): there are 89 such page numbers.
Thus, the total number of times the digit 4 appears is 49 + 50 + 89 = 188.
Next, let's count the number of times the digit 8 appears. We can break down the counting into two cases:
The digit 8 appears in the tens place (page numbers 80 to 89, 180 to 189, ..., 480 to 489): there are 50 such page numbers.
The digit 8 appears in the hundreds place (page numbers 800 to 880): there are 9 such page numbers.
Thus, the total number of times the digit 8 appears is 50 + 9 = 59.
Therefore, the number of more 4's printed than 8's is 188 - 59 = 129.
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Geometry, Help Please hurry!!!
In the diagram, ABCD is Similar EFGH. Find the following,
4. Scale Factor
5. EH
6. AB
Scale Factor is equal to [tex]\frac{2}{3}[/tex]. Length of EH is equal to 16 units and length of AB is equal to 9.
4. A scale factor is the ratio of the scales of an original object and a new object.
Scale factor = Ordinated dimension / original dimension
Scale factor = [tex]\frac{10}{15}[/tex]
Scale factor = [tex]\frac{2}{3}[/tex] (or) 0.67
5. Length of EH
Scale factor = [tex]\frac{EH}{AD}[/tex]
[tex]\frac{EH}{AD}[/tex] = [tex]\frac{2}{3}[/tex]
[tex]\frac{EH}{24} = \frac{2}{3}[/tex]
EH = 2 * 8
EH = 16 units
6. Length of AB
Scale factor = [tex]\frac{EF}{AB}[/tex]
[tex]\frac{EF}{AB}[/tex] = [tex]\frac{2}{3}[/tex]
[tex]\frac{6}{AB} = \frac{2}{3}[/tex]
AB = 3 * 3
AB = 9 units.
Therefore, Scale Factor is equal to [tex]\frac{2}{3}[/tex]. Length of EH is equal to 16 units and length of AB is equal to 9.
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After how many weeks do you think it would be unreasonable to continue counting
individual mosquitoes? And finally, at the end of the 13-week mosquito season, how
many mosquitoes would you expect to be in the trap? Use complete sentences to
explain both of your answers below.
(Table if needed)
Week | Mosquitos
0 | 8
1 | 12
2 | 18
3 | 27
We can expect approximately 90 mosquitoes in the trap at the end of the 13-week mosquito season.
How to determine how many mosquitoes would you expect to be in the trapBased on the given data, we can observe that the number of mosquitoes is increasing over time, and the increase is not constant. So, it would be unreasonable to continue counting individual mosquitoes after a certain point.
To estimate the number of mosquitoes at the end of the 13-week mosquito season, we can assume that the rate of increase remains constant over time. Using this assumption, we can find the average increase in mosquitoes per week, which is the difference between the number of mosquitoes in the last week and the number in the first week, divided by the number of weeks:
Average increase = (27 - 8) / 3 = 6.33
Then, we can use this average increase to estimate the number of mosquitoes in the 13th week:
Number of mosquitoes in the 13th week = 27 + 6.33 × 10 = 90.3
Since we cannot have a fraction of a mosquito, we can round this estimate to the nearest whole number.
Therefore, we can expect approximately 90 mosquitoes in the trap at the end of the 13-week mosquito season.
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PLEASE ANSWER AS QUICKLY AS YOU CAN!!!!!!
Answer:
(x+6)(x+6)
[tex]x^2+12x+36[/tex]
(x+8)(x-5)
[tex]x^{2}+3x-40\\[/tex]
(x-5)(x-2)
[tex]x^{2}-7x+10[/tex]
Step-by-step explanation:
Brainliest pls hope it helped^^
Answer:
a) x^(2)+12x+36
b) x^(2)+3x-40
c) x^(2)-7x+10
Step-by-step explanation:
How many hours after the chemical reaction starts are the concentrations of the two products equal?
Responses
0.6
1.0
1.5
2.0
Answer:0.6
Step-by-step explanation: because i got it correct
Números que multiplicados me den 24 y sumados me den -11
The two numbers that multiply to give 24 and add to give -11 are -3 and -8.
How do we get these numbers?To find these numbers, you can use a system of equations. Let x and y be the two numbers. Then we have:
xy = 24 (because the two numbers multiply to give 24)x + y = -11 (because the two numbers add to give -11)We can use the second equation to solve for one of the variables in terms of the other. For example, we can solve for x:
x + y = -11
x = -11 - y
We can then substitute this expression for x into the first equation:
xy = 24
(-11 - y)y = 24
Expanding and rearranging, we get:
y^2 + 11y + 24 = 0
This is a quadratic equation that we can solve using factoring or the quadratic formula. Factoring, we get:
(y + 3)(y + 8) = 0
So either y + 3 = 0 or y + 8 = 0. This means that y can be -3 or -8. Substituting each of these values into x = -11 - y, we get:
If y is -3, then x is -11 - (-3) = -8
If y is -8, then x is -11 - (-8) = -3.
Translated question "Numbers that multiply to give me 24 and add to give me -11"
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PLEASE HELP MEEEEEEEEEEE!
What is the measure of the unknown angle?
A straight angle divided into a fifty-eight-degree angle and an unknown angle.
100°
112°
120°
122°
Therefore , the solution of the given problem of angles comes out to be the right response is option d 122°.
An angle meaning is what?Using Cartesian coordinates, the top and bottom walls divide the circular lines that make up a skew's ends. There is a chance that two poles will meet at a junction point. Angle is another outcome of two things interacting. They mirror dihedral forms the most. A two-dimensional curve can be created by arranging two line beams in various ways at their extremities.
Here,
180 degrees is the length of a straight circle. It has been split into a 58-degree angle and an unidentified angle, as far as we are aware. So that we can determine the size of the undetermined angle, let's use subtraction:
=> Angle unknown = 180 degrees minus 58 degrees
=> Angle unknown = 122 degrees
As a result, the undetermined angle is 122° in size.
The right response is (d) 122°.
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Alex used his grandmother’s recipe to make 11 3/7 pounds of granola. If he fills as many bags as he can with 2 2/3 pounds of granola in each bag, how many pounds will he have left over?
A 16/21 pound
B 2 20/21 pounds
C 4 2/7 pounds
D 8 16/21 pounds
The number of pounds that he will have left over from 11 3/7 pounds is 4 2/7
How many pounds will he have left over?To find out how many bags of granola Alex can fill, we need to divide the total amount of granola he made by the amount of granola in each bag.
We can convert 11 3/7 pounds to an improper fraction:
11 3/7 pounds = 80/7 pounds
Also, we have
2 2/3 pounds = 8/3 pounds
Now we can divide the total amount of granola by the amount in each bag:
(80/7) ÷ (8/3)
To divide fractions, we invert the second fraction (change it to its reciprocal) and multiply:
(80/7) × (3/8)
Simplifying, we get:
(80 x 3) / (7 x 8) = 30/7
Divide
(80 x 3) / (7 x 8) = 4 2/7
Hence, the bags is 4 2/7
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diego wants to package all 48 brownies and 64 cookies so that each bag has the same combination of items. how many bags can he make, and how many of each will be in each bag? determine at least one way to package both items.
Diego can make 56 bags with each bag containing 8 brownies and 12 cookies.
To package both items, he can divide the items into groups of 8 brownies and 12 cookies. He will then make 56 of these groups, ensuring each bag contains 8 brownies and 12 cookies.
Diego has 48 brownies and 64 cookies to package. To make the same combination of items in each bag, he needs to group the items into groups of 8 brownies and 12 cookies.
This can be done by dividing the 48 brownies into 6 groups of 8, and the 64 cookies into 5 groups of 12. He then needs to combine these two groups together, making 56 total bags.
Each of these bags will contain 8 brownies and 12 cookies. This is one way of packaging both items so that each bag has the same combination.
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Answer for x=
Please
Answer:
53°
Step-by-step explanation:
it’s vertical, verticals are always identical, I think
most people in the united states with a mental disorder in any given 12-month period receive treatment during the same time frame.
Explanation:
Most people with a mental illness in the United States receive care at some point in their lives, but most receive insufficient or inappropriate care. In any given year, fewer than one-third of people with a diagnosable mental illness obtain treatment.
However, according to a study, most people in the United States with a mental disorder in any given 12-month period receive treatment during the same time frame.
According to the National Survey on Drug Use and Health (NSDUH), about one in five adults (18.5%) had a mental illness in 2019. It is said that roughly 22.3 million people aged 18 and above received care for a mental health condition in the preceding year.
Treatment may involve medication, therapy, support groups, or a combination of these methods. The majority of people with mental illness may significantly benefit from these treatments.
As per a study, most people in the United States with a mental disorder in any given 12-month period receive treatment during the same time frame. This statement is true.
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What is the slope of the line parallel to the function: * y = 50 -0.5x 50 0.5 -0.5 02
The slope of the line parallel to the function: y = 50 - 0.5x include the following: C. -0.5.
What are parallel lines?In Mathematics and Geometry, parallel lines simply refers to two (2) lines that are always the same or equal distance apart and never meet.
Generally speaking, two (2) lines are considered as parallel under the following standard conditions:
Slope, m₁ = Slope, m₂.
From the function, we have:
y = 50 - 0.5x
Slope, m = -0.5
In this context, we can reasonably infer and logically deduce that the slope of the two lines would be equal and the same:
Slope of line 1 = Slope of line 2
-0.5 = -0.5
In conclusion, we can logically deduce that the slope of the given line is equal to -0.5.
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A certain amount of money is shared between rui feng and vishalin the ratio of 5:9 if rui feng gets 44 dollar less than vishal find total amount of money shared between the two boys
The total amount of money shared between Rui Feng and Vishal is 154 dollars.
Let's assume that the amount of money shared between Rui Feng and Vishal is x dollars.
According to the given ratio, the amount of money received by Rui Feng is 5/14 of the total amount, and the amount received by Vishal is 9/14 of the total amount.
We are also given that Rui Feng receives 44 dollars less than Vishal. We can express this as:
9/14 x - 5/14 x = 44
Simplifying the equation, we get:
4/14 x = 44
Multiplying both sides by 14/4, we get:
x = 154
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8) What is the lower quartile of the numbers
4, 6, 7, 8, 10, 12, 20?
(a) 4
(b) 6
(c) 7
(d) 8
The lower quartile of the given set of numbers 4, 6, 7, 8, 10, 12, 20 is 6. So, correct option is B.
To find the lower quartile of a set of numbers, we first need to arrange them in ascending order. The given numbers are: 4, 6, 7, 8, 10, 12, 20.
Next, we divide the data set into four equal parts. The lower quartile is the median of the lower half of the data set. In this case, the lower half is 4, 6, and 7.
To determine the median of the lower half, we need to find the middle value. Since we have an odd number of data points in the lower half, the middle value is the single value between the two extremes. In this case, the median is 6.
This corresponds to option (b) in the given choices: 6.
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PLEASE HELP ME
A pizza shop surveyed a random group of customers to determine their favorite pizza topping. Out of 400 people, how many would you expect to say their favorite topping is sausage?
The percent that reported mushroom as their favorite from the pizza shop survey would be 10 %.
The percent that instead reported cheese or pepperoni as their favorite is 62.5 %.
Out of 400 people, the number that would say their favorite was sausage is 50 people .
How to find the number of people in the survey ?The percent that prefer mushroom would be:
= Number of those who chose mushroom / Number surveyed
= 8 ( 35 + 8 + 15 + 12 + 10 )
= 8 / 80
= 10 %
The percentage that instead chose cheese or pepperoni:
= ( 15 + 35 ) / ( 35 + 8 + 15 + 12 + 10 )
= 50 / 80
= 62.5 %
The number out of 400 that would be expected to choose sausage :
= 10 / ( 35 + 8 + 15 + 12 + 10 ) x 400
= 50 people
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