Answer:
the 2nd is 600 the 4th is 5 the 200 maybe
Answer:
hi lolololol
S
Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. What is the median weight of the players?
Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.
The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.
The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.
In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.
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Prove each of the following claims using strong induction. Be sure to: . Assert that you are invoking strong induction on a particular variable State the element(s) for which the base case(s) apply, and prove them. Carefully state the inductive hypothesis. (Be sure to follow the examples from class!) Label the inductive step and state what you must show . Prove the inductive step, being careful to label the point at which the inductive hypothesis is being applied. a. Let an be the recurrence defined by: ao- 12,a1 29, and for all n 2 2,an- b. Let an be the recurrence defined by: a,-1, a,-2, a2-3, and for all n 3, an- c. Let an be the recurrence defined by: a,-1, аг--3, and for all n 3, an-an-1 + a-1-6an-2. Prove that for all n 2 0: an-5.3+7-2 an-1 +an-2+ an-3. Prove that for all n 2 0: an S 3" an-2. Prove that for all n 21: an s ( amount of money that is greater than or equal to 13 cents. 72 d. Prove that if you only have 3 cent and 5 cent coins available, you can generate any
a. To prove that for all n ≥ 0: an = 5.3 + 7(an-1) + an-2 + an-3, we will use mathematical induction.
Base Case: For n = 0, we have a0 = 5.3 + 7(a-1) + a-2 + a-3. Substituting the given initial values, we get a0 = 5.3 + 7(29) + 12 + 0 = 213.3.
Inductive Hypothesis: Assume that for some k ≥ 0, the statement holds true, i.e., ak = 5.3 + 7(ak-1) + ak-2 + ak-3.
Inductive Step: We need to prove that the statement holds for k+1, i.e., ak+1 = 5.3 + 7(ak) + ak-1 + ak-2.
Using the recurrence relation, we have ak+1 = b = 5.3 + 7(ak) + ak-1 + ak-2.
Now, by the inductive hypothesis, ak = 5.3 + 7(ak-1) + ak-2 + ak-3. Substituting this into the equation above, we get:
ak+1 = 5.3 + 7(5.3 + 7(ak-1) + ak-2 + ak-3) + ak-1 + ak-2
= 5.3 + 37.1 + 49(ak-1) + 7ak-2 + 7ak-3 + ak-1 + ak-2
= 52.4 + 48(ak-1) + 8ak-2 + 7ak-3.
This shows that ak+1 can be expressed in the desired form, completing the inductive step. Therefore, by mathematical induction, we have proven that for all n ≥ 0: an = 5.3 + 7(an-1) + an-2 + an-3.
b. The given recurrence relation, an = an-1 + an-2 + an-3, does not match the desired statement, an ≤ 3^n. Hence, it is not possible to prove an ≤ 3^n using the given recurrence relation.
c. The given recurrence relation, an = an-1 - 6an-2 + an-3, does not match the desired statement, an ≤ (amount of money that is greater than or equal to 13 cents). Hence, it is not possible to prove an ≤ (amount of money that is greater than or equal to 13 cents) using the given recurrence relation.
d. To prove that if you only have 3 cent and 5 cent coins available, you can generate any amount of money that is greater than or equal to 8 cents, we will use the concept of the Chicken McNugget theorem.
The Chicken McNugget theorem states that for any two relatively prime positive integers a and b, the largest integer that cannot be expressed as a linear combination of a and b (i.e., ax + by where x and y are non-negative integers) is ab - a - b.
In this case, a = 3 cents and b = 5 cents, which are relatively prime since their greatest common divisor is 1. Applying the Chicken McNugget theorem, the largest integer that cannot be expressed as a linear combination of 3 and 5 is 3 * 5 - 3 - 5 = 7.
Thus, any amount of money greater than or equal to 8 cents can be formed using only
3 cent and 5 cent coins. This can be achieved by adding the appropriate number of 5 cent coins and/or 3 cent coins to reach the desired amount, as long as it is at least 8 cents.
For example, to make 8 cents, you can use one 5 cent coin and one 3 cent coin. For 9 cents, you can use three 3 cent coins. By applying this approach, any amount greater than or equal to 8 cents can be formed using only 3 cent and 5 cent coins.
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A ladybug starts at the center of a 12.0 in .-diameter turntable and crawls in a straight radial line to the edge. While this is happening, the turntable turns through a 45.0 ∘ angle.
Part A
Find the magnitude of the ladybug's displacement vector.
Part B
Find the direction of the ladybug's displacement vector.
The turntable turns through a 45.0 degree angle, the radial line also rotates by 45.0 degrees. Therefore, the direction of the ladybug's displacement vector is 45.0 degrees counterclockwise from the positive x-axis.
Part A:
The radius of the turntable is half of the diameter, which is 6.0 in. The ladybug crawls in a straight radial line to the edge, which means its displacement vector is equal to the radius of the turntable. Therefore, the magnitude of the ladybug's displacement vector is 6.0 in.
Part B:
The direction of the ladybug's displacement vector is the same as the direction of the radial line from the center of the turntable to the edge. This direction can be described by the angle between the positive x-axis and the radial line.
Since the turntable turns through a 45.0 degree angle, the radial line also rotates by 45.0 degrees. Therefore, the direction of the ladybug's displacement vector is 45.0 degrees counterclockwise from the positive x-axis.
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answer this question for brainliest
Answer:
y = -7x + 26
I checked it on Desmos
: report and interpret a 95onfidence interval for the proportion of students who live on campus using the theory-based approach. does this interval contain the population parameter?
The theory-based 95% confidence interval for the average salary of all full professors of colleges in the United States is: $72,146.46 ≤ μ ≤ $75,493.54
To obtain a theory-based 95% confidence interval for the average salary of all full professors of colleges in the United States, we can use the formula:
CI = X ± z×(σ/√n)
where X is the sample mean, σ is the population standard deviation (which we don't know), n is the sample size, and z is the critical value from the standard normal distribution corresponding to a 95% confidence level (z=1.96).
Substituting the given values, we have:
CI = $73,820 ± 1.96×($6,800/√200)
CI = $73,820 ± $1,673.54
So, the 95% confidence interval for the average salary of all full professors of colleges in the United States is:
$72,146.46 ≤ μ ≤ $75,493.54
where μ is the population mean salary of all full professors in the United States.
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I have solved the question in general, as the given question is incomplete.
The complete question is:
The researchers obtained the salaries of a random sample of 200 full professors of colleges in the United States.The sample mean is $73,820, and the sample standard deviation is $6800.A theory-based 95% confidence interval for the average salary of all full professors of colleges in the United States is
1. Bao saved $179 a month. He saved $145 less than Ada each month. How much would Ada save in three and a half years?2. Mrs Williams is knitting a blanket for her newborn granddaughter. The blanket is 2.25 metres long and 1.8 metres wide. what is the area of the blanket? write the answer in centimetres.
$13608
Explanation:Amount saved by Bao per month = $179
Amount saved by Bao per month = Ada's savings - 179
Amount saved by Ada = $179 + $145
Amount saved by Ada per month = $324
time = three and a half years
We convert years to months:
12 months = 1 year
time = 3(12) + 1/2(12) = 36 + 6
time = 42 months
Amount Ada saved = $324 × number of months
Amount Ada saved = $324 × 42
Amount Ada saved = $13608
Graph square DEFG with vertices
D(4,-2), E(4,2), F(0,2), and G(0,-2)
Find the Perimeter of the shape, answer 16 (I figured it out)
Answer: 9.01 is the answer
Step-by-step explanation: Because when you add the number in the square you can split the number you add to the nearest sum to the number you get in the outcum.
supposed that x1 and x2 have the bivariate normal distribution with means mu1 and mu2, and variances s1 and s2 and correlation rho. find the distribution of x1 - 3x2
The distribution of X₁ - 3X₂ is a normal distribution with mean μ₁ - 3μ₂ and variance s₁² + 9s²₂ - 6rhos₁s₂.
To find the distribution of X₁ - 3X₂, we need to find the mean and variance of this new variable.
The mean of X₁ - 3X₂ is:
E(X₁- 3X₂) = E(X₁) - 3E(X₂) = μ₁ - 3μ₂
The variance of X₁ - 3X₂ is:
Var(X₁ - 3X₂) = Var(X₁) + 9Var(X₂) - 6Cov(X₁,X₂)
Since X₁ and X₂ have a bivariate normal distribution with means μ₁ and μ₂, variances s₁ and s₂ and correlation rho, we know that:
Var(X₁) = s²₁
Var(X₂) = s²₂
Cov(X₁,X₂) = rhos₁ s₂
Substituting these values into the variance equation, we get:
Var(X₁ - 3X₂) = s₁² + 9s²₂ - 6rhos₁s₂.
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Analyze the conditional statement below and complete the instructions that follow.
If you break it, then you buy it.
Identify the contrapositive of the conditional statement.
If you buy it, then you break it.
If you did not break it, then you did not buy it.
If you buy it, then you did not break it.
If you did not buy it, then you did not break it.
Answer:
If you did not break it, Then you did not by it.
Step-by-step explanation:
What is the probability that either event will occur?
Now, find the probability of event A and event B.
A
B
6
6
20
20
P(A and B) = [?]
The probability of event A and event B is 6.
Given that, P(A)=6, P(B)=20 and P(A∩B)=6.
P(A/B) Formula is given as, P(A/B) = P(A∩B) / P(B), where, P(A) is probability of event A happening, P(B) is the probability of event B.
P(A/B) = P(A∩B) / P(B) = 6/20 = 3/10
We know that, P(A and B)=P(A/B)×P(B)
= 3/10 × 20
= 3×2
= 6
Therefore, the probability of event A and event B is 6.
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Help please it´s urgent
Based on this graph, what is the solution to the system of equations?
Answers:
A. There are an infinite number of solutions.
B. There is no solution.
C. (1, 3)
D. (2, 3)
E. (3, 2)
Answer: E
Step-by-step explanation:
The solution means the intersection point, so in this case, it's (3, 2). The intersection point represents a value that is true for both equations, which is why it's considered the solution.
If orange paint i made with 3 quart of red paint and 2 quart of yellow paint, then how many quart of yellow paint hould be mixed with 6 quart of red paint?
In linear equation, The quarts of yellow paint mixed with 6 quarts of red paint should be, 4.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.the number of quarts of yellow paint should be mixed with 6 quarts of red paint.
According to question
As, 3 quarts of red paint is mixed with 2 quarts of yellow paint
So, 6 quarts of red paint is mixed with
6/3 * 2 = 4 quarts of yellow paint
Thus, the quarts of yellow paint mixed with 6 quarts of red paint should be, 4.
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in slope intercept form, what is the equation of the line having a slope of 2 and passing through the point (6,24)?
Answer:
y = 2x + 12
Step-by-step explanation:
Suppose the tire has a diameter of 4.6 feet. How far does the car roll when the wheel turns 337 degrees? Round to the nearest tenth.
Answer:
13.5 feetStep-by-step explanation:
First, find the circumference
4.6 * \(\pi\) =14.4513
Then set up a proportion to find how far the wheel turns in the given angle let x be the distance the wheel has rolled
\(\frac{14.4513}{360} =\frac{x}{337}\)
solve for x
x=13.528
Round to nearest tenth
13.5
Yolanda wanted to see if there was a connection between red hair and green eyes. she observed people walking past her on the street and noted their hair and eye color. red hair green eyes: 18 eye color other than green: 29 hair color other than red green eyes: 114 eye color other than green: 650 consider the relative frequency table. a 4-column table with 3 rows. the first column has no label with entries red hair, other hair color, total. the second column is labeled green eyes with entries blank, x, blank. the third column is labeled other eye color with entries blank, blank, blank. the fourth column is labeled total with entries blank, blank, 100%. to the nearest whole percent, what is the value of x in the table? x = 14% x = 15% x = 16% x = 18%
The value of x on the relative frequency table is 14%.
What is the value of x?Percentage is fraction out of an amount that is usually expressed as a number out of hundred. The sign used to represent percentages is %.
Value of x = (number of people with green eyes that have other hair colour / total number of people) x 100
(114/881) x 100 = 14%
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Answer:
A. x = 14%
Step-by-step explanation:
Did the Unit Test Review on Edge 2022
You just bought a used car for $12,000 with no down payment using dealer financing at 4% APR compounded monthly. If you make monthly payments of $300, how many months will it take you to payoff the loan? Your Answer: Answer Question 9(0.5 points) You want to borrow $15,000 to buy a new car. Your annual interest rate is 5.9% over 5 years with monthly payments. Calculate your monthly payment. Your Answer:
your monthly payment for borrowing $15,000 over 5 years with an annual interest rate of 5.9% and monthly payments will be approximately $283.89.
To calculate the number of months required to pay off the loan, we can use the loan repayment formula:
n = -log(1 - (r * PV) / PMT) / log(1 + r)
Where:
n = Number of months
PV = Loan amount (purchase price of the car)
PMT = Monthly payment
r = Monthly interest rate (APR divided by 12)
Substituting the given values, the formula becomes:
n = -log(1 - (0.04/12 * 12000) / 300) / log(1 + 0.04/12)
Simplifying this expression, we find:
n ≈ 40
Therefore, it will take approximately 40 months to pay off the loan for the used car.
Moving on to the second question, to calculate the monthly payment for borrowing $15,000 over 5 years with an annual interest rate of 5.9% and monthly payments, we can use the loan payment formula:
PMT = PV * (r *\((1 + r)^n\)) / (\((1 + r)^n\) - 1)
Where:
PMT = Monthly payment
PV = Loan amount
r = Monthly interest rate (annual interest rate divided by 12)
n = Number of months (5 years * 12 months per year)
Substituting the given values, the formula becomes:
PMT = 15000 * (0.059/12 * (\((1 + 0.059/12)^(5*12)\))) / (\((1 + 0.059/12)^(5*12)\) - 1)
Calculating this expression, we find:
PMT ≈ $283.89
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& What value of x satisfies the system of equations below!
x+2y= 11
4x - y = 8
Answer:
\(\boxed{\sf{x=3 \quad y=4}}\)Step-by-step explanation:
Isolate the term of x and y from one side of the equation.
x+2y=11 and 4x-y=8⇒ x+2y=11
⇒ x=11-2y
Substitute.
4(11-2y)-y=8
Solve.
Distributive property:
⇒ A(B+C)=AB+AC
4(11-2y)
4*11=44
4*2=8
Rewrite the problem down.
44-9y=8
Subtract by 44 from both sides.
44-9y-44=8-44
Solve.
-9y=-36
Divide by -9 from both sides.
-9y/-9=-36/-9
Solve.
-36/-9=4
y=4
Substitute of y=4.
⇒ x=11-2*4
Use order of operations.
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAddSubtract11-2*4
Multiply.
2*4=8
Rewrite the problem down.
11-8
Subtract.
11-8=3
x=3
Therefore, the correct answer is x=3 and y=4.I hope this helps you! Let me know if my answer is wrong or not.
Which of these Rational Numbers is the least?
2 1/8
3.3
-5
0
-5.5
1/2
21/12
Answer:
-5.5.
Step-by-step explanation:
The negative numbers are less than the positive and -5.5 is less than -5.
Mandy used the rule “Add 6” to make a pattern. She started with 20 and wrote the next 5 numbers in her pattern. Which number does NOT belong in Mandy’s pattern?
Answer:
43
Step-by-step explanation:
Answer:
43
Step-by-step explanation:
Well, I used the process of elimination at first. I realized that the numbers that mattered in the question were even numbers therefore the only one that would not end in the even number once I added "6" to the next 5 numbers, would be number 43.
Reflect triangle ABC with vertices at A(0, 2), B(-8, 8), C(0, 8) over the line y = -1. Then reflect that
triangle over the y-axis. Graph all three figures.
A graph of the resulting triangles after a reflection over the line y = -1 and over the y-axis is shown in the images below.
How to transform the coordinates of triangle ABC?In Mathematics, a reflection across the line y = k and y = -1 can be modeled by the following transformation rule:
(x, y) → (x, 2k - y)
(x, y) → (x, -2 - y)
Ordered pair A (0, 2) → Ordered pair A' (0, -4).
Ordered pair B (-8, 8) → Ordered pair B' (-8, -10).
Ordered pair C (0, 8) → Ordered pair C' (0, -10).
By applying a reflection over the y-axis to the coordinate of the given triangle ABC, we have the following coordinates for triangle A"B"C":
(x, y) → (-x, y).
Ordered pair A (0, 2) → Ordered pair A" (0, 2).
Ordered pair B (-8, 8) → Ordered pair B" (8, 8).
Ordered pair C (0, 8) → Ordered pair C" (0, 8).
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what are the two possible reasons for observing an outcome in a sample that differs from what you would expect in the population?
The population includes the sample. Therefore, only some of the variables—not all—are used when we calculate central tendency or spread values.
What does the standard deviation of the sample mean?
The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.According to question
The sample may not be a good representation of the population due to various biases that could have been introduced during sample calculation, such as self-selection and non-response.
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The temperature on Friday was 35°F. By Monday, it was 2 times as warm. What was the temperature on Monday?
Joe's equation: 35 plus 2 equals m
Answer:
70 degrees Fahrenheit
Step-by-step explanation:
monday = friday * 2
monday = 35 * 2
monday = 70
over the course of a year, malachi gets 2 haircuts at a price of $12.00 each, 3 haircuts at a price of $15.00 each, and 1 haircut at a price of $25.00. for malachi,what is the weighted mean cost of a haircut?
The weighted mean cost of a haircut for Malachi is $15.67, divided by the total number of haircuts, which comes to 6, to yield a total cost of $94.00.
We must compute the total cost of all haircuts and divide it by the total number of haircuts in order to determine the weighted mean price of a haircut for Malachi. The expense of each haircut must be weighed according to the frequency with which it occurred, though, because they varied in price.
To begin, let's figure out how much each haircut will cost overall:
2 haircuts at $12.00 each = $24.00
3 haircuts at $15.00 each = $45.00
1 haircut at $25.00 = $25.00
Total cost = $24.00 + $45.00 + $25.00 = $94.00
Next, We must determine the total number of cuts:
2 haircuts + 3 haircuts + 1 haircut = 6 haircuts
Finally, The weighted mean cost of a haircut can be determined by dividing the total cost by the total number of haircuts:
The weighted mean cost of a haircut = Total cost / Total number of haircuts
= $94.00 / 6 haircuts
= $15.67 per haircut (rounded to the nearest cent)
Therefore, Malachi's weighted mean haircut expense is $ 15.67 , divided by the total number of haircuts, which comes to 6, to yield a total cost of $94.00.
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Your friend has t marbles. You have 11 marbles. You and your friend have a total of 29 marbles. Write an equation that you can use to find t
Answer:
t + 11 = 29
Step-by-step explanation:
Since you are combining your total and your friend's total marbles together, this will be an addition equation.
t + 11 = 29
Calculate the length of AC in ABAC to 1 decimal place.
The length of AC in triangle BAC is equal 10.7 units
Cosine RuleIn trigonometry, the cosine rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.
The formula is given as
AC² = AB² + BC² - 2(AB)(BC) cos AC
AC² = 6² + 7² - 2(6)(7)cos110
AC = 10.7
Using cosine rule, the length of AC is 10.7 unit.
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4(3m+9-7)
I need help plz
Answer:
12m+8
12m+36-28
Jack feeds his dog 34 cups of dog food every day. How many days will 6 cups of dog food feed Jack's dog?
Answer:
Dog food will be enough for 8 days
Brainliest pls
Step-by-step explanation:
Can anyone help me i really need it rn
Answer:
11. g
12. f
13. e (add all the frequencies)
14. d
15. c (eg. 17.5 -8.5 = 9)
16. b
17. a
Let me know if you have any questions.
Hope this helps!
Instructions: Match each term with the correct description and naming practice. A representation of
each term is available.
Answer:
A lower case script letter OR two letters
The subject of this question is History at the Middle School level. The question involves matching terms with descriptions and naming practice.
Explanation:Subject and Grade of the QuestionThe subject of this question is History and the grade level is Middle School.
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There are 2.54 centimeters in 1 inch . How many centimeters are there in 1 foot? In yard?
Explain your reasoning
Answer:
30.48 cm. in a foot, 91.44 in a yard
Step-by-step explanation:
2.54 x 12 (12 inches in a foot) is 30.48. 30.48 × 3 (3 feet in a yard) is 91.44