Answers
The mean and median of each of the following is found as below.
What is Mean?Mean of a set of data is defined as the average of all the values. It gives the exact middle point of the data set.
1 )Given three credit scores of Jacob.
814, 838, 827
Mean credit score = (814 + 838 + 827) / 3 = 826.33
Median is the element in the middle if the data are arranged in increasing or decreasing order.
Arranging in ascending order,
814, 827, 838
Median = 827
7) Given credit scores of Leslie and Pat.
Arrange in ascending order.
Leslie : 675 775 803
Pat : 668 774 821
Median score of Leslie = 775
Median score of Pat = 774
Leslie is having higher median credit score, so Rachel is likely to offer best interest rate to Leslie based on median credit score.
Mean credit score of Leslie = (675 + 775 + 803) / 3 = 751
Mean credit score of Pat = (668 + 774 + 821) / 3 = 754.333
Pat is having higher mean credit score, so Rachel is likely to offer best interest rate to Pat based on mean credit score.
Hence the answer is found.
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Related Questions
M(5, 7) is the mid-point of the l.ine segment joining A (3,4) to B. Find the coordinates of B.
Answers
Answer:
B(7,10)
Step-by-step explanation:
\(M(5,7)=(x ,y)\\A(3,4)=(x_1,y_1)\\B(x_2,y_2)\\\\Endpoint ;\\x = \frac{x_1+x_2}{2}\\ \\5 = \frac{3+x_2}{2}\\ Cross\:Multiply\\5\times 2 =3+x_2\\10=3+x_2\\10-3 =x_2\\7=x_2\\\\\\y = \frac{y_1+y_2}{2} \\\\7 = \frac{4+y_2}{2}\\ Cross\:Multiply\\7\times 2 =4+y_2\\14 =4+y_2\\14-4 =y_2\\10 =y_2\\\\\\B(7,10)\)
Given y=x, what is the constant of proportionality?
Answers
Answer:
1
Step-by-step explanation:
The constant of proportionality when the equation is y = ax is a.
There is nothing written there so a is assumed to be 1.
If y = 3.443
Then the constant of proportionality is 3.443, which is the value of a.
Hello going to fail and not make it to highschool if I don’t pass this test!! Please help
Answers
Answer:
Step-by-step explanation:
(0, -1) (3,3)
(3 + 1)/(3 - 0) = 4/3
y + 1 = 4/3(x - 0)
y + 1 = 4/3x - 0
y = 4/3x - 1
answer is A
The graph to the right is the uniform probability density function for a friend who is x minutes late. (a) Find the probability that the friend is between 10 and 30 minutes late. (b) It is 10 A.M. There is a 20% probability the friend will arrive within how many minutes? part a) what is the probability that the friend is between 10 and 30 minutes late_?
Answers
The probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.
Since the probability density function is uniform, the probability of the friend being between 10 and 30 minutes late is equal to the area of the rectangle that lies between x = 10 and x = 30, and below the curve of the probability density function.
The height of the rectangle is equal to the maximum value of the probability density function, which is 1/30 since the interval of possible values for x is [0, 30] minutes.
The width of the rectangle is equal to the difference between the upper and lower limits of the interval, which is 30 - 10 = 20 minutes.
Therefore, the probability of the friend being between 10 and 30 minutes late is:
P(10 < x < 30) = (height of rectangle) x (width of rectangle)
= (1/30) x 20
= 2/3
≈ 0.6667
So the probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.
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what is the unit rate of 11.70 and 15
Answers
A class has 48 minutes available to hear reports from 15 students. if the time is to be divided equally, how long may each student have?
Answers
Answer:
No, every student will have 3.2 minutes
Answer:
Each student has approximately 3 minutes and 12 seconds.
Step-by-step explanation:
You divide the total amount of minutes by the total amount of students. 48/15=3.2
After you get your answer, you convert to minutes. There are 3 minutes and the .2 converts to 12 seconds
HURRY Drag each division expression to the correct location on the table.
Solve each division problem, and classify it based on its quotient.
Answers
Answer: (In order)
25/4 / 6 1/4 = 1
3 1/7 / 2/7 = 11
5/4 / 1/4 = 5
11 1/4 / 9/4 = 5
8 1/4 / 3/4 = 11
3 1/3 / 10/3 = 1
Step-by-step explanation:
Help me with this EdPuzzle pls.
Answers
Answer:
2 in^3
Step-by-step explanation:
First you find the volume of one cube by doing 1/2*1/2*1/2, after this you times this number by 16 to get the volume of the whole structure
free brainlyiWhich of the following is true? (1 point)
1)
|−6| < 5
2)
|−6| < |5|
3)
|−5| < |−6|
4)
|−5| < −6
Answers
Answer:
1)
Step-by-step explanation:
Answer:
all of it
Step-by-step explanation:
What is the volume of the pyramid? Show all work.
6 m
8 m
4 m
Answers
192/3 = 64
Volume = 64m^3
What quadrant would the image of (-1,3) be in after a 90 degree clockwise rotation?
Answers
Answer: Quadrant 1. The first digit (-1) is the X value, so we know its on the left of the X axis. The second digit (3) is the Y value, so that makes it above the Y axis. The topleft corner is going to be quadrant 4, so a 90 degree clockwise rotation would put the image in Quadrant 1. Your welcome :)
Are the events independent or dependent. From a bag containing 10 marbles, 5 red, 3 black, 1 blue, and 1 white we pick two marbles:
Event A: Selecting a red marble first pick, and then without replacement
Event B: Selecting a white marble on the second pick
Answers
Answer:
Dependent
Step-by-step explanation:
The first draw has 10 marbles, the second draw has 9 marbles and the color of those 9 marbles depends on the marble picked in the first draw so the events are dependent.
Answer:
Dependant
Step-by-step explanation:
It would be independent if you put the marble BACK, because at first it was 1/10 to get the white marble and then it became 1/9.
A and B are complementary angles. If A = (x + 6) andB = (7x + 30) then find the measure of A
Answers
Answer:
Concept:
Two angles are said to be complementary when they add up together to give 90 degrees
\(\begin{gathered} \angle A+\angle B=90^0 \\ \text{where,} \\ \angle A=(x+6) \\ \angle B=(7x+30)^0 \end{gathered}\)By substituting the values, we will have
\(\begin{gathered} \angle A+\angle B=90^0 \\ x+6+7x+30=90^0 \\ \text{collect similar terms, we will have} \\ x+7x+6+30=90 \\ 8x+36=90 \\ \text{substract 36 from both sides} \\ 8x+36-36=90-36 \\ 8x=54 \\ \text{divide both sides by 8} \\ \frac{8x}{8}=\frac{54}{8} \\ x=6.75 \end{gathered}\)To determine the value of angle A,
We will substitute the value of x= 6.75 below
\(\begin{gathered} A=x+6 \\ A=6.75+6 \\ A=12.75^0 \end{gathered}\)Hence,
A= 12.75°
972,141.4The 4 in the tenth place is ————the value of 4 in the tens place
Answers
SOLUTION:
Step 1:
In this question, we are given that:
972,141.4
The 4 in the tenth place is ————the value of 4 in the tens place
Step 2:
972,141.4
The 4 in the tenth place is
\(\frac{1}{100}\)the value of 4 in the tens place
Identify the sampling technique used. Every 17th person in line to buy tickets to a concert is asked his or her age.
Answers
Answer:
systematic sampling
Step-by-step explanation:
This is when you start at a person (using a number that is randomly generated) and go up in intervals to select a sample.
Hope this helps!
Evaluate -32+(2-6)(10)
Answers
Answer:
I hope this is right ☺
-72
Step-by-step explanation:
-32+ (-4×10)
-32+ -40
-72
GH has one endpoint at the origin (0,0). Whichother coordinate would make GH the longestpossible segment?
Answers
From the information given, GH is a straight line. One of its endpoints is (0,0).
This means that
x1 = 0, y1 = 0
We want to determine values for x2 and y2 that would give the longest possible length for GH.
The formula for determining the length of a line is expressed as
\(\text{length = }\sqrt{(x2-x1)^2+(y2-y1)^2}\)Looking at the above equation, the values of x2 and y2 that would give the longest possible length of GH would be x2 = - 2, y2 = 8
The length of the segment would be
\(\begin{gathered} \text{length = }\sqrt{(-2-0)^2+(8-0)^2} \\ \text{length = }\sqrt{68} \end{gathered}\)If we input the other option, the length would be lesser than the one we got.
Therefore, the correct option is (- 2, 8)
Lucy is counting by 2s. She starts with the number 2 and stops at the number 50.
Which number would Lucy not count?
A 11
B 22
C 34
D 48
Answers
The number which Lucy did not count is A = 11
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Lucy is counting by 2s, starting with 2, which means that she is counting all even numbers between 2 and 50.
To find the number that Lucy would not count, we need to find the odd number between 2 and 50.
On simplifying the equation , we get
The odd numbers between 2 and 50 are: 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, and 49.
Hence , Lucy would not count the even number that corresponds to the odd number 11
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1) A student has a Math placement of Math 111, Math 100 and Math 102+. What course should the student first start with according to their placement results to then continue to get to Math 103E?
Answers
The placement results provided, the student should start with Math 100.
The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.
To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.
Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.
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a 5000 gallon tank is leaking at a rate of 1 cup per secondconvert 1 cup/sec to gallons/hourabout how many hours until the tank is empty round to the nearest whole number
Answers
Answer
1 cup/sec = 225 gallons/hour
The tank will be empty in 22.22 hours.
Explanation
To do this, we need to first note that
1 gallon = 16 cups
1 hour = 3600 seconds
So,
\(\begin{gathered} 1\frac{\text{cup}}{\sec }\times\frac{1\text{ gallon}}{16\text{ cups}}\times\frac{3600\text{ sec}}{1\text{ hour}} \\ =\frac{1\times1\times3600}{16}\frac{gallon}{hour} \\ =225\text{ gallons/hour} \end{gathered}\)So, now, we can then calculate how many hours it will take the tank to become empty.
The tank has a volume of 5000 gallons
Rate of leakage = (Number of gallons)/(Number of hours)
Rate of leakage = 1 cup/sec = 225 gallons/hour
Number of gallons = 5000
Number of hours = ?
\(\begin{gathered} \text{Rate of leakage = }\frac{Number\text{ of gallons}}{Number\text{ of hours}} \\ 225=\frac{5000}{\text{Number of hours}} \\ \text{Number of hours = }\frac{5000}{225}=22.22\text{ hours} \end{gathered}\)Hope this Helps!!!
Find the difference between the cash price and the payment plan and calculate the interest rate for the following questions.
1. A food processor for $149.50 cash, or $5.00 down and $10.00 per month for 15 months
2. A television for $675.00 cash, or $52.00 down and $120.00 per month for 6 months
3. A smartphone for $150.00 cash, or $25.00 down and $12.00 per month for 11 months
4. Bedroom furniture for $1,985.00 cash, or $400 down and $74.00 per month for 24 months
5. A jacket for $75.00 cash, or $25.00 down and $4.75 per week for 11 weeks
6. The Smiths bought new furniture that cost $3,298.00. The store offered them an option of putting $600 down and making equal payments of $300 a month for 10 months. Use the Federal Reserve System formula to find the APR the Smiths will pay for taking this plan.
Answers
Answer:
1).
Difference = $6
Interest rate= 4.03%
2).diffrence = $97
Interest rate = 14.37%
3). Difference = $7
Interest rate= 4.67%
4). difference= 191
Interest rate= 9.6%
5). Difference= 2.25
Interest rate= 3%
6). Difference=$ 302
Interest rate=9.12%
Step-by-step explanation:
1).$10 per months for 15 months
= 10*15=$150
PLus a down payment of $5= $155
Interest = 155-149= $6
Interest rate = 6/149*100= 4.03%
2.)$120.00 per month for 6 months
= 120*6=$ 720
Plus a down payment of $52=$772
Interest= 772-675= $97
Interest rate = 97/675 *100= 14.37%
3). $12.00 per month for 11 months
= 12*11= 132 plus down payment of $25
= $157
Interest= 157-150= $7
Interest rate=7/150 *100= 4.67%
4).$74.00 per month for 24 months
= 74*24=$1776
Plus a down payment of $400=$ 2176
Interest= 2176-1985= 191
Interest rate= 191/1985*100= 9.6%
5).$4.75 per week for 11 weeks
= 4.75*11=$52.25
Plus a down payment if $25
= 25+52.25=$ 77.25
Interest= 77.25-75= 2.25
Interest rate= 2.25/75 *100= 3%
6).$300 a month for 10 months
= 300*10= $3000
Plus a down payment of $600
= $3600
Interest=3600-3298= 302
Interest rate= 302/3298 *100=9.12%
Anna is in a cave 30 feet below the cave entrance. She descends 17 feet, then ascends 22 feet. Find her new position relative to the cave entrance.
Anna's new position relative to the cave entrance is _____
feet.
Answers
Answer:35
Step-by-step explanation:
We add or subtract from left to right to find the value of the expression:
3
Because the result is negative, she is below the cave entrance (by 35 feet).
Answer:
25 ft
Step-by-step explanation:
Explain how to determine whether a sample correlation coefficient indicates that the population correlation coefficient is significant.
Answers
The population correlation coefficient is significant if the correlation is closer to 1, less significant is closer to zero, and not significant at all if the correlation coefficient is zero.
Correlation coefficients are used in determining the significance of a population and the strength of the relationship between two variables. This relationship can either be strong, weak, or not exist.The correlation coefficient can have values between 0 and 1 inclusive. The population correlation coefficient is significant if the correlation is closer to 1, less significant is closer to zero, and not significant at all if the correlation coefficient is zero.Learn more on correlation here: https://brainly.com/question/13879362
Please help me in confused
Answers
Answer:
20\(c^{6}\)
Step-by-step explanation:
using the rule of exponents
\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)
given
(- 4c³)(- 5c³) ← remove parenthesis
= - 4 × c³ × - 5 × c³
= - 4 × - 5 × c³ × c³
= 20 × \(c^{(3+3)}\)
= 20\(c^{6}\)
Find the sum of -3x2 -4x+3 and 2x2-x+3
Answers
Answer:
Assuming the 2 at the ends are the exponents,
the answer is -x^2-5x+6 (x^2+5x-6)
from here, it cannot be simplified more
Explanation --
Just add everything by putting the terms in parentheses and adding them.
Keep simplifying by putting the like terms together and adding/subtracting them.
At the end, you come up with -x^2-5x+6, so multiply -1 on the whole thing (by putting parentheses on its sides. This makes x positive. But they are the same thing, but this step is just for simplifying the end product a little more.
Hope this helps!! Have a nice day!
Solve 2|3x-4|+4=12 show your work
Answers
Answer:
0.6
Step-by-step explanation:
2×3x+4+4=12
6X+8=12
6x=12-8
6x=4
Divide by 6
X=0.6
Can the following question be considered a statistical question and why or why not?
Do students at Bryan Middle School exercise?
Yes, it specifies the population
No, it does not specify the population
Yes, it anticipates enough variability in responses
No, it does not anticipate enough variability in responses
Answers
Answer: Yes, it anticipates enough variability in responses
Step-by-step explanation:
A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.
(5 x 7) + (n x 4) = 5 x (7+ 4) write each missing number
Answers
The missing number in the expression (5 x 7) + (n x 4) = 5 x (7+ 4) is 5.
What are GCF and distributive property?The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.
We also know that distributive property states a(b + c) = ab + ac.
Given, An expression (5 × 7) + (n × 4) = 5 × (7 + 4).
Now, If we expand the RHS we have,
5×(7 + 4).
= (5 × 7) + (5 × 4).
Now, Writing the obtained RHS with LHS we have,
(5 × 7) + (n × 4) = (5 × 7) + (5 × 4).
So, The missing number is 5.
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If a tax of $6.75 is charged on an $84.37 purchase, what is the sales tax rate?
Answers
Answer:
8%
Step-by-step explanation:
\( \frac{6.75}{84.37} = .08\)
The graph represents the number of hours that Walter sleeps in terms of the number of days.
Graph shows a ray plotted in quadrant 1 of a coordinate plane with Days on X-axis, and Hours of Sleep on Y-axis. The ray begins at the origin and it extends upward, slanting right, through (2, 16) and (4, 24).
Which function represents Walter’s situation?
A.
y = 6x
B.
y = 6
C.
y = 8
D.
y = 8x
Answers
Answer:
I believe D is the answer to the question above.
Step-by-step explanation:
Answer: pretty sure its D
Step-by-step explanation: