Could someone please help? I’ve done this lesson so many times and still struggle.
Answers
Nice job on getting problem 1 correct.
=================================================
Problem 2
The double stem and leaf plot says we have the following data set for the men's side
53,54,57 60,61,62,63,63,64,64,66,67,67,68,69 70,70,70,70,70,73,76,77,77,77,77,79 81,82,85,86,88,88 90,92,93,98Be careful to read the stem first, followed by the leaf (even though the leaf values are listed on the left side of the stem).
Notice how each row is a different stem (in this case, tens digit) to help make things more readable.
If we were to add up all of those values I listed above, then we should get the sum 2707. Divide this over n = 37 to get 2707/n = 2707/37 = 73.162 approximately. This rounds to 73 since your teacher wants you to round to the nearest whole point.
The average score for the men is 73.You'll do the same thing for the women's side. That data set is
55,59 60,60,62,62,63,64,65,66,66,67 70,71,71,72,73,74,75,76,79,79 80,81,82,83,83,84,89 90,92,92,93,93,95,98 100Again, it's handy to break the scores up by stem or else you'll have a long string of scores to get lost in (or it's easier to get lost in).
Adding up those 37 scores should get you 2824 which then leads to a mean of 2824/n = 2824/37 = 76.324 approximately. This rounds to 76
The average score for the women is 76.=================================================
Problem 3
The range for the men is max - min = 98 - 53 = 45
The range for the women is max - min = 100 - 55 = 45
Both groups have the same range (which is 45)==================================================
Problem 4
It's strongly recommended to use a spreadsheet here. Let's focus on the men's data set.
The idea is to subtract each data value from the mean 73.162, and then square the result. So each term is of the form (x-mu)^2 where mu is the mean.
For example, the data value x = 53 on the men's side will lead to
(x-mu)^2 = (53 - 73.162)^2 = 406.506
We consider this a squared error value.
You'll do this with the remaining 36 other values in the men's data set.
After doing this, you'll add up the 37 items in this new column and you should get roughly 4711.027, and this is the sum of the squared errors (SSE).
Divide this over n = 37 and we get 4711.027/37 = 127.325
Lastly, apply the square root and we arrive at sqrt(127.325) = 11.284 which rounds to 11.28
The steps for the women's standard deviation will be the same. You should get 12.30
-------------
Answers:Men's standard deviation = 11.28Women's standard deviation = 12.30These are population standard deviation values. If you don't want to use a spreadsheet, a much better option is to use online calculators that specialize in population standard deviation.
1) The men's and women's team each played 37 games.
2) the mean score of men's and women's team is 73 and 76 approximately.
3) the range of men's and women's score is 45.
4)the standard deviation of men and women team 11 and 12 approximately.
Number of observations can be found by counting the observations.
Mean is the average of all observations. It is the sum product of observations divided by the number of observations.
The range of observations is the measure of spread. It is the highest value minus the lowest value.
The standard deviation is another measure of variability. It is the square root of variance, where variance is the sumproduct of observations minus the mean, divided by the number of observations.
The data set is given by:
Men's team
53,54,5760,61,62,63,63,64,64,66,67,67,68,6970,70,70,70,70,73,76,77,77,77,77,7981,82,85,86,88,8890,92,93,98Women's team
55,5960,60,62,62,63,64,65,66,66,6770,71,71,72,73,74,75,76,79,7980,81,82,83,83,84,8990,92,92,93,93,95,981001) Number of games each team played :
men's team = 37
women's team = 37
2)mean = [tex]\frac{sum \ of \ observations}{number \ of \ observations}[/tex]
men's team = [tex]\frac{2707}{37}[/tex] = = 73.162
women's team = [tex]\frac{2824}{37}[/tex] = = 76.324
3)range = highest observation - lowest observation
men's team = 98 - 53 = 45
women's team = 100 - 55 = 45
4)population standard deviation = [tex]\sqrt{ \frac{\sum (x-\bar x)^2}{n}}[/tex]
On using the formula :
men's team = [tex]\sqrt{\frac{4711.027}{37} } = \sqrt{127.325} = 11.284[/tex]
women's team = [tex]\sqrt{151.29}[/tex] = 12.3
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Related Questions
Find the missing side lengths
Answers
What is the measure of
Answers
Answer:
try D
Step-by-step explanation:
i have 17 coins. N of them are nickels and the rest are dimes. write an expression in two different ways for the amount of money that i have
Answers
Answer:
Step-by-step explanation:
(N)0.05 + (17-N)0.1 = M; M = amount of money I have.
Or 1.7-0.05N = M.
An expression two different ways to the amount of money is equals to
1. 5N + 10 (17 -N) = Y cents
2. N + 2(17 - N) = Y nickels
What is amount?
" Amount is defined as the total of any given quantity."
According to the question,
Total number of coins = 17
Number of nickels coins = N
Number of dimes coin = 17 - N
'Y' express the amount of money
Represent amount of money in cents
1 dime = 10 cents
1 nickel = 5 cents
Expression to represents amount of money in cents,
5N + 10 (17 -N) = Y cents
Expression to represents amount of money in nickels,
1 dime = 2 nickel
N + 2(17 - N) = Y nickels
Hence, an expression two different ways to the amount of money is equals to
1. 5N + 10 (17 -N) = Y cents
2. N + 2(17 - N) = Y nickels
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A box contains a yellow ball, an orange ball, a green ball, and a blue ball. Billy randomly selects 4 balls from the box (with replacement). What is the expected value for the number of distinct colored balls Billy will select?
Answers
Answer:
[tex]Expected = 0.09375[/tex]
Step-by-step explanation:
Given
[tex]Balls = 4[/tex]
[tex]n = 4[/tex] --- selection
Required
The expected distinct colored balls
The probability of selecting one of the 4 balls is:
[tex]P = \frac{1}{4}[/tex]
The probability of selecting different balls in each selection is:
[tex]Pr = (\frac{1}{4})^n[/tex]
Substitute 4 for n
[tex]Pr = (\frac{1}{4})^4[/tex]
[tex]Pr = \frac{1}{256}[/tex]
The number of arrangement of the 4 balls is:
[tex]Arrangement = 4![/tex]
So, we have:
[tex]Arrangement = 4*3*2*1[/tex]
[tex]Arrangement = 24[/tex]
The expected number of distinct color is:
[tex]Expected = Arrangement * Pr[/tex]
[tex]Expected = 24 * \frac{1}{256}[/tex]
[tex]Expected = \frac{3}{32}[/tex]
[tex]Expected = 0.09375[/tex]
-3x(3x+5)(3x-4) help pls
Answers
Answer:
-3x(3x+5)(3x-4)
= -(9x²+15x)(3x-4)
= -27x³-9x²+60x
Answered by GAUTHMATH
A tax on which of these products or services would not be considered a sin
tax"?
O A. Alcohol
O B. Gambling
O C. Electronics
O D. Tobacco
Answers
Answer: electronics
Hope that helps
The option that is not considered a sin tax is option B, gambling.
What is a sin tax?
A sin tax is a tax that is applied to "harmful things" to society or individuals. An example of this is Tobacco.
From the given options, the harmful ones are alcohol, gambling, and tobacco. These 3 are considered harmful, so would be included under the sin taxes.
Then the option that is not considered a sin tax is option B, gambling.
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The table shows values for a quadratie function
What is the average rate of change for this function for the interval from 1
Please see
Pic
Answers
Answer:
B
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 1, 3 ] , then
f(3) = 18 ← value of y when x = 3
f(1) = 2 ← value of y when x = 1
Then
average rate of change = [tex]\frac{18-2}{3-1}[/tex] = [tex]\frac{16}{2}[/tex] = 8 → B
Quesdon 8 of 10
Which of the following is a polynomial?
Answers
Answer:
B
Step-by-step explanation:
It has two or more terms.
Please help me ASAP I need it
Answers
Answer:
XYZ, SAS
Step-by-step explanation:
Because angle B corresponds with angle Y, side AB corresponds with side XY, and side BC corresponds with YZ, we see that side A corresponds with side X, side B corresponds with side Y, and side C corresponds with side Z.
This means that triangle ABC corresponds with triangle XYZ. Since we only know one angle and two sides, they are congruent due to the SAS postulate.
abc or d please help me!
Answers
Answer:
A
Step-by-step explanation:
Cuz that’s the only graph that goes with the statement.
on this graph it’s saying the cost of 3 hair accessories is $10.
X = 3
Y = 10
Reflect triangle ABC across the line x = 2. Then the reflect (image) A', B' and C' across the line x = -3.
Answers
Answer:
The first reflection makes the points (1,1), (-1,1) and (1,4) and the second reflection changes THOSE to (-7,1) (-5,1) and (-7,4). Just connect the dots to make the triangle.
Let me know if anything did not make sense.
Step-by-step explanation:
Reflect just means how far away is each point to the line of reflection? then ake a new point the sae distance, but in the opposite direction. You always want to use a line that makes a right angle to the line of reflection too, so since x=2 and x=-3 are verticallines you are going to use horizontal lines to measure where A, B and C are.
So the three points are A:(3,1), B:(5,1) and C:(3,4)
Now use a horizontal line to measure how far A, B and C are from x=2.
A is 1 spance to the right of x=2, so A' (what A turns into) is 1 space to the left. so (3,1) becomes (1,1) The y value does not change since you are only using the horizontal direction for reflection. B changes fro (5,1) to (-1,1) and finally C changes from (3,4) to (1,4)
Now the second reflection is the exact same process, but witht he new points reflected across x = -3. So the new points are (-7,1) (-5,1) and (-7,4).
if 2x+20 and 3x+20 makes a straight angke find value of x
Answers
Answer:
x = 28
Step-by-step explanation:
The sum of the angles in a straight angle = 180°
Sum the angles and equate to 180
2x + 20 + 3x + 20 = 180
5x + 40 = 180 ( subtract 40 from both sides )
5x = 140 ( divide both sides by 5 )
x = 28
a party of 7 comes into your restaurant and says they want to split the bill evenly 7 ways their total is $247.79 what does each customer owe ?
Answers
Answer:
each costumer owe $35.40
Step-by-step explanation:
so, u get 247.79÷7 (cuz it is 7 people)
u get 35.40.
to check just get 35.40×7 and u will revice their total.
HELPP
3. Divide the following polynomials using the long division model: (4x^4 - 5x^2 + 2x^2 - X+5) = (x^2 + x+1).
Part I: Express this problem using the standard format for a problem of dividend - divisor divisor) dividend (2 points)
Part II: Use this checklist to proceed through this problem: (8 points)
• How many times does x2 go into the largest term in the problem?
* write the value on top of the problem and multiply that value by x^+x+1
*write the product below the lowest line on your work and subtract if from what reminds in the problem
*continue this process until you fab no longer divide x^2 into what reminds in the problem
*include your remainder in the final answer
Answers
Answer:
[tex]\dfrac{4 \cdot x^4 - 5\cdot x^3 + 2 \cdot x^2 - x + 5}{x^2 + x + 1} = 2 \cdot x^2 - 9 \cdot x + 7 \ Remainder \ (x - 2)[/tex]
Step-by-step explanation:
Part I
The problem can be expressed as follows;
The dividend is 4·x⁴ - 5·x³ + 2·x² - x + 5
The divisor is x² + x + 1
[tex]\dfrac{4 \cdot x^4 - 5\cdot x^3 + 2 \cdot x^2 - x + 5}{x^2 + x + 1}[/tex]
Part II
The number of times x² goes into the larest term, 4·x⁴ = 4·x² times
2·x² - 9·x + 7
[tex]\dfrac{4 \cdot x^4 - 5\cdot x^3 + 2 \cdot x^2 - x + 5}{x^2 + x + 1}[/tex]
4·x⁴ + 4·x³ + 4·x²
-9·x³ - 2·x² - x + 5
-9·x³ - 9·x² - 9·x
7·x² + 8·x + 5
7·x² + 7·x + 7
x - 2
Therefore, we have;
[tex]\dfrac{4 \cdot x^4 - 5\cdot x^3 + 2 \cdot x^2 - x + 5}{x^2 + x + 1} = 2 \cdot x^2 - 9 \cdot x + 7 \ Remainder \ (x - 2)[/tex]
If I can read 10 pages in 50 minutes, how many pages will I read in an hour and a half
Answers
Answer:
18 pages
Step-by-step explanation:
that means you can read 2 pages in 10 minutes.
an hour and a half is 90 minutes.
90 is 9 times more than 10.
so we do 2 * 9 = 18 pages
please answer this for me really struggling thanks
Answers
Answer:
Just agree on having ice cream
Step-by-step explanation:
please show work it’s for calc
Answers
Answer:
24
Step-by-step explanation:
The question is asking for the net area from x=3 to x=10.
It gives you the net area from x=3 to x=5 being -18.
It gives you the net area from x=5 to x=10, being 42.
Together those intervals make up the interval we want to find the net area for.
-18+42=42-18=24
Answer:
[tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt = 24[/tex]
General Formulas and Concepts:
Calculus
Integration
IntegralsIntegration Property [Splitting Integral]: [tex]\displaystyle \int\limits^c_a {f(x)} \, dx = \int\limits^b_a {f(x)} \, dx + \int\limits^c_b {f(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int\limits^{5}_3 {f(t)} \, dt = -18[/tex]
[tex]\displaystyle \int\limits^{10}_5 {f(t)} \, dt = 42[/tex]
[tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt[/tex]
Step 2: Integrate
[Integral] Rewrite [Integration Property - Splitting Integral]: [tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt = 24 = \int\limits^5_3 {f(t)} \, dt + \int\limits^{10}_5 {f(t)} \, dt[/tex][Integrals] Substitute: [tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt = 24 = -18 + 42[/tex]Simplify: [tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt = 24[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
What is the solution to the inequality x2 < 16 – 6x?
Question 7 options:
A)
x < –8 or x > 2
B)
x < –8 and x > 2
C)
–8 ≤ x ≤ 2
D)
–8 < x < 2
Answers
Answer:
D
Step-by-step explanation:
2x < 16 - 6x
Bring the variables to one side
2x < 16 - 6x
+6x +6x
8x < 16
Divide both sides by the coefficient
8x/8 < 16?8
x < 2
Solve for x and y. Write any radical answers as "sqrt( )" or "squareroot( )".
Answers
Answer:
x = 4 and y = 8
Step-by-step explanation:
This is a special right triangle with angle measures 90-60-30 degrees
The side lengths are like the following :
The side length that sees 90 degrees is represented with a
The side length that sees 60 degrees is represented with a[tex]\sqrt{3}[/tex]
The side length that sees 30 degrees is represented with 2a
now, the angle measure that sees 60 degrees is given as 4[tex]\sqrt{3}[/tex] so we understand that a is = 4 that's how we find the value of x and y
For a school project , Gina measures the height of her 11 friends in centimeters. Girls 125 132 128 135 131 Boys 135 130 126 129 120 129 The five girls stand in a line from shortest to tallest. What is the height of a girl in the middle of the line?
Answers
Answer:
i think the answer is 126cm
You have $475 in your savings account that earns 3.25% simple interest each year. How much interest will you accumulate after 7 years?
Answers
Answer:
$613.45
Step-by-step explanation:
Multiply $475 by 3.25% of it and so on 7 times, which adds up to 613.4993293. Round that to 613.45
Which best describes the relationship between the lines with equations −6x+8y=−1 and −4x−3y=2?
Answers
Answer:
it is linear
Step-by-step explanation:
Both of these both lines are perpendicular to each other.
We have the two equations of straight lines :
− 6x + 8y = −1 and −4x − 3y = 2.
We have to identify the relation between these two lines.
What is the general equation of a straight line ?The general equation of a straight line is as follows -
y = mx + c
where -
m - slope of line
c - intercept of line on y - axis.
According to the question, we have -
−6x + 8y = −1 ...(1)
−4x − 3y = 2 ...(2)
Rearranging the terms of the equations we get -
y = [tex]\frac{3}{4} x - \frac{1}{8}[/tex] ...(3)
and
y = [tex]\frac{-4}{3}x - \frac{2}{3}[/tex] ...(4)
When compared -
The slope of line −6x + 8y = −1 is m(1) = [tex]\frac{3}{4}[/tex].
The slope of line −4x − 3y = 2 is m(2) = [tex]\frac{-4}{3}[/tex].
We can see that -
m(1) x m(2) = - 1
The product of the slopes of two perpendicular lines is -1.
Hence, these both lines are perpendicular to each other.
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Please help its urgent:
11. A fish tank has dimensions 3 feet by
2 feet by 1.5 feet. Two feet is the
height of the aquarium. If the tank is
not filled all the way and there are
two inches of empty space at the top,
how many cubic inches of water are
in the tank? (7 points) im not sure how to show my work
Answers
i really need help with this since it’s practice for my midterms
Answers
Answer:
It is D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Evaluate the fractions inside the absolute value
2 [tex]\frac{5}{6}[/tex] + [tex]\frac{7}{4}[/tex] ( change mixed number to improper fraction )
= [tex]\frac{17}{6}[/tex] + [tex]\frac{7}{4}[/tex] ( the LCM of 6 and 4 is 12 ) , then
= [tex]\frac{17(2)}{6(2)}[/tex] + [tex]\frac{7(3)}{4(3)}[/tex]
= [tex]\frac{34}{12}[/tex] + [tex]\frac{21}{12}[/tex] ( add the numerators, leaving the common denominator )
= [tex]\frac{55}{12}[/tex]
= 4 [tex]\frac{7}{12}[/tex] → D
One angle of a rhombus measures 108°, and the shorter diagonal is 9 inches long. Approximately how long is the side of the rhombus?
Answers
Answer:
8 inches
Step-by-step explanation:
A rhombus is a four sides quadrilateral with the four sides equal in length
A rhombus has 4 equal sides and the diagonal bisect at right angles
Adjacent sides = 9/2 = 4.5
we are to determine the value of the hypotenuse given the adjacent side and angle (108/2) = 54
Cos 54 = adjacent / hypotenuse
0.58778 = 4.5 / hypotenuse
hypotenuse = 4.5 / 0.58778
=7.6559
= 8 inches
Solve for x.
A) -9
C) -5
B) -11
D) 10
Answers
Answer:
here's the answer to your question
Answer: D. 10
Step-by-step explanation:
Concept:
Here, we need to know the triangle sum theorem.
The Triangle Sum Theorem states that the sum of the three interior angles in a triangle is always 180°.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
According to the Triangle Sum Theorem:
∠1 + ∠2 + ∠3 = 180
Substitute the angle values
(60) + (50) + (7x) = 180
Combine like terms
110 + 7x = 180
SUbtract 110 on both sides
110 + 7x - 110 = 180 - 110
7x = 70
Divide 7 on both sides
7x / 7 = 70 / 7
x = 10
Hope this helps!! :)
Please let me know if you have any questions
A piece of fabric 20m long sew 4/5 of that cloth, the rest of the fabric is sewn for each bag 2/3m, how many bags can be sewn in all?
Answers
Answer: 16 bags
Step-by-step explanation:
(20) (4/5) = 16
(16) (3) / 2 = 24
Someone help me with this question please it would help me a lot !!!
Answers
Answer:
x intercept ( -40,0)
y intercept ( 0,15)
Step-by-step explanation:
The x intercept is where it crosses the x axis. The y value is zero
(-40,0)
The y intercept is where it crosses the y axis. The x value is zero
(0,15)
Find the 27th term of the arithmetic sequence 15, 17.25, 19.5, 21.75,...
Answers
Answer:
The 27th term is 73.5.
Step-by-step explanation:
We want to find the 27th term of the arithmetic sequence:
15, 17.25, 19.5, 21.75, ...
We can write a direct formula. Recall that the direct formula for an arithmetic sequence is given by:
[tex]x_n=a+d(n-1)[/tex]
Where a is the initial term and d is the common difference.
From the sequence, we can see that our initial term a is 15.
To find the common difference, subtract a term and its previous term. Thus, the common difference will be:
[tex]d=17.25 - 15 = 2.25[/tex]
Thus, our direct formula is:
[tex]x_n=15+2.25(n-1)[/tex]
To find the 27th term, let n = 27. Substitute and evaluate:
[tex]\displaystyle \begin{aligned} x_{27} &=15+2.25((27)-1) \\ &= 15+2.25(26) \\&= 15+58.5 \\ &= 73.5\end{aligned}[/tex]
Thus, the 27th term is 73.5.
help me with this question: Find y
Answers
Answer:
y = 4
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle θ = 45
Hypothenus = 4√2
Adjacent = y =?
The value of y can be obtained by using cosine ratio as illustrated below:
Cos θ = Adjacent / Hypothenus
Cos 45 = y / 4√2
Cross multiply
y = 4√2 × Cos 45
Recall
Cos 45 = 1 / √2
Therefore,
y = 4√2 × 1/√2
y = 4
