Find the length of the rectangular prism.
Find the width of the rectangular prism.
Find the height of the rectangular prism.
Multiply the length, the width, and the height.
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Will the sum of 2x3 + x2 - 4 and -5x² - 6x? be a polynomial?
yes
no
Answer:
Yes
Step-by-step explanation:
Since we are adding two polynomials
The sum will also be polynomial
One important statistic in baseball is a pitcher’s earned run average, or ERA. This number represents the average number of earned runs given up by the pitcher per nine innings. The following table lists the portion of the ERAs for pitchers playing for the New York Yankees and the Baltimore Orioles as of July 22, 2010; the complete data, labeled ERA , are available on the text website.
New York ERA Baltimore ERA
Sabathia 3.13 Guthrie 4.58
Pettitte 2.88 Millwood 5.77
Burnett 4.99 Matusz 5.21
Hughes 3.99 Bergeson 6.51
Vazquez 4.68 Hernandez 4.29
Chamberlain 5.80 Berken 2.50
Gaudin 6.81 Hendrickson 5.23
Rivera 0.98 Albers 4.31
Robertson 4.86 Arrieta 4.87
Park 5.93 Simon 3.14
Mitre 2.88 Ohman 2.57
Logan 3.92 Tillman 7.92
Marte 4.08 Mata 7.79
Aceves 3.00 Meredith 5.40
Moseley 7.50 Uehara 2.92
Melancon 9.00 Castillo 10.13
Albaladejo 5.40 Johnson 6.52
Mickolio 7.36
Gonzalez 18.00
Required:
a. Calculate the mean and the median ERAs for the New York Yankees.
b. Calculate the mean and the median ERAs for the Baltimore Orioles.
c. Based solely on your calculations above, which team is likely to have the better winning record?
1. New York Yankees
2. Baltimore Orioles
Answer:
(a): [tex]\bar x = 5.54[/tex] and [tex]Median = 4.86[/tex]
(b): [tex]\bar x = 5.27[/tex] and [tex]Median = 5.21[/tex]
(c): New York Yankees
Step-by-step explanation:
Given
Data of New York ERA and Baltimore ERA
Solving (a): Mean and Median of New York ERA
Mean is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
For New York ERA, n = 19. So, we have:
[tex]\bar x = \frac{3.13 + 2.88 + 4.99 + 3.99 + 4.68 + 5.80 + 6.81 + 0.98 + 4.86 + 5.93 + 2.88 + 3.92 + 4.08 + 3.00 + 7.50 + 9.00 + 5.40 + 7.36 + 18.00}{19}[/tex]
[tex]\bar x = \frac{105.19}{19}[/tex]
[tex]\bar x = 5.53631578947[/tex]
[tex]\bar x = 5.54[/tex]
To calculate the median value, we first arrange the data (in ascending order):
So, we have:
0.98, 2.88, 2.88, 3.00, 3.13, 3.92, 3.99, 4.08, 4.68, 4.86, 4.99, 5.40, 5.80, 5.93, 6.81, 7.50, 7.36, 9.00, 18.00
The median value of odd number of data is:
[tex]Median = \frac{1}{2}(n+1)\ th[/tex]
Substitute 19 for n
[tex]Median = \frac{1}{2}(19+1)\ th[/tex]
[tex]Median = \frac{1}{2}(20)\ th[/tex]
[tex]Median = 10th[/tex]
So, the median is the 10th item.
[tex]Median = 4.86[/tex]
(b): Mean and Median of Baltimore ERA
Mean is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
For Baltimore ERA, n = 17. So, we have:
[tex]\bar x = \frac{4.58+ 5.77+ 5.21+ 6.51+ 4.29+ 2.50+ 5.23+ 4.31+ 4.87+ 3.14+ 2.57+ 7.92+ 7.79+ 5.40+ 2.92+ 10.13+ 6.52}{17}[/tex]
[tex]\bar x = \frac{89.66}{17}[/tex]
[tex]\bar x = 5.27411764706[/tex]
[tex]\bar x = 5.27[/tex] --- approximated
Arrange in ascending order:
2.50 , 2.57 , 2.92 , 3.14 , 4.29 , 4.31 , 4.58 , 4.87 , 5.21, 5.23 , 5.40 ,5.77 , 6.51 , 6.52, 7.79 , 7.92 , 10.13
[tex]Median = \frac{1}{2}(n+1)\ th[/tex]
[tex]Median = \frac{1}{2}(17+1)th[/tex]
[tex]Median = \frac{1}{2}(18)th[/tex]
[tex]Median = 9th[/tex]
So, the median is the 9th item.
[tex]Median = 5.21[/tex]
(c): Who has a better record
Statistically, the average ERA of New York Yankees is better than the average ERA of Baltimore Orioles.
Hence, New York Yankees hold the better record
What is the initial value of the function represented by this graph? (5 points)
A coordinate grid is shown with x- and y axes labeled from 0 to 7 at increments of 1. A straight line joins the ordered pair 0, 3 with the ordered pair 7, 6.
1. 0
2. 3
3. 6
4. 7
9514 1404 393
Answer:
2. 3
Step-by-step explanation:
The "initial value" is the y-intercept. It is the value of y corresponding to an x-value of 0.
Your problem statement tells you that (0, 3) is one of the points on the line. That ordered pair tells you y=3 is the y-value that corresponds to x=0.
3 is the initial value
Describe the compliment of the set of odd numbers greater than 0 within the set of positive integers.
Answer:
Step-by-step explanation:
it is the set of positive even integers.
{0,2,4,...}
I'm in 5th grade and need help with and
Answer:
the answer is 11046.4
Step-by-step explanation:
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Solve this equation. \large \frac{2}{3}x-\frac{1}{5}x=x-1
Answer: x=−5/24
Step-by-step explanation: hope this help
Please help asap. :(
How many more hundreds to make a thousand from 400?
answer:
6 more hundreds
step-by-step explanation:
six hundreds mean 600 600 + 400 would be 1000therefore, we would need 6 more hundredsNorma is packing her suitcase for vacation. If the suitcase has a volume of 124 cubic inches and she has already used 96 cubic inches, how many space does she have left (in cubic inches)?
Answer:
the answer is 28 all cha do subtract 124 -96= 28
Step-by-step explanation:
lol use a calculator\
A store is having a sale on walnuts and chocolate chips. For 5 pounds of walnuts and 2 pounds of chocolate chips, the total cost is $17. For 3 pounds of walnuts
and 8 pounds of chocolate chips, the total cost is $34. Find the cost for each pound of walnuts and each pound of chocolate chips.
Answer:
Step-by-step explanation:
5w+2c=17
3w+8c=34
2c=-5w+17
c=3.50
w=2
Pls help!! MARKING BRAINLIEST!!!
Answer:
1. C
2. D
3. D
4. E
5. B
6. G
7. unknown
Beth placed 91 books on a shelf. Twenty-eight of the books were nonfiction,13 of the books were poetry books,and the rest were fiction books. How many books were fiction
Answer:
50
Step-by-step explanation:
28+13=41. So, 91-41=50
2. Rebecca bought air filters at a store,
She bought 8 air filters.
• Each air filter cost $16.95.
• Rebecca used a coupon for $7.50 off her total cost of the air filters.
The total cost in dollars that Rebecca paid for these 8 air filters can be represented
by this expression
(8 * 16.95) - 7.50
How much did Rebecca pay for these 8 air filters?
Answer:
$128.10
Step-by-step explanation:
(8 * 16.95) - 7.50
(135.6) - 7.50
128.1
Therefore, your answer would be $128.10
$128.10 is the answer
Find the second derivative of the function.
Answer
The second derivative of an implicit function can be found using sequential differentiation of the initial equation F(x,y)=0. At the first step, we get the first derivative in the form y′=f1(x,y). On the next step, we find the second derivative, which can be expressed in terms of the variables x and y as y′′=f2(x,y).
a large clock has a face that is shaped like a circle the circumference of the circle is 5 feet which measurement is closest to the area of the face of the clock in square feet
Answer:
78.5
Step-by-step explanation:
What are two fractions between 1/2 and 1?
Answer:
3/4 and 10/12
Step-by-step explanation:
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Identify the ordered pair that describes the location of each point shown. Point A is located at . Point B is located at . Point C is located at . Point D is located at . Point E is located at .
Answer:
person above me is 100% correct
Answer:
hope this helps
Step-by-step explanation:
Hep me please this is to much
Answer:
its B
Step-by-step explanation:
hope it helps
Answer:
B. 6 x 0.8
Step-by-step explanation:
It depends on the placement of the decimal point. All of the answers have 6 x 8. It's just that the decimal points are in different places each time.
For example, option A, is 6 x 8, which is 48. 48 is not equal to 4.8.
Option B, however, has 6 x 0.8. 6 x 8 = 48, and divided by 10 is 4.8. 4.8 = 4.8. This means Option B is correct.
Hope this helps :)
Luke's baseball team went to an amusement park at the end of the season.
The cost of admission for 5 coaches and 12 players was $407.50.
The admission cost for each coach was $27.50.
What was the admission cost for each player?
A) $22.50
B) $23.97
C) $27.50
D) $31.67
A
B
С
Question 1
Two packs of toilet rolls are available in the
supermarket 9 toilet rolls for £3.15 4 toilet rolls for £1.36
Work out which pack offers the best value for money.
Answer:
for the nine toilet pack, a toilet roll is 3.15/9 which is£0.35 while for the 4 toilet roll pack, a toilet roll is 1.36/4 which is £0.34 so the nine toilet pack gives the best value for money because a toilet roll sells for £0.35 which is £ 0.01 more than the four toilet pack
A man bought a certain number of golf balls for RM 20. If each ball has costed 20 cents less, he could have bought five more for the same money. How many golf balls did he buy?
Answer:
He bought 20 balls
Step-by-step explanation:
Cost of a certain number of golf balls = $20
Let 1 golf ball cost $x
This means number of balls bought = 20 / x
If each ball has costed 20 cents less;
Converting 20 cents to dollars = $0.2
$x - $0.2
he could have bought five more for the same money.
Number of balls = 20/x + 5
Using the formulae;
Cost of 1 ball * Number of balls bought = Amount spent
(x-0.2) (20/x + 5) = 20
Expanding the expression;
x(20/x + 5) - 0.2(20/x + 5) = 20
20 + 5x - 4/x - 1 = 20
19 + 5x - 4/x = 20
5x - 4/x = 1
Multiplying all through by x
5x^2 - 4 = x
5x^2 - x - 4 = 0
(5x + 4)(x - 1) = 0
x = 1 or -4/5
-4/5 is unrealistic hence the correct value is;
x = $1
He bought 20 balls; 20 / x = 20 / 1 = 20
The reduction in the price of each ball increases the number of balls the man can buy at RM 20.
The number of balls he bought is 20 balls.
Reasons:
The given parameters are;
The amount the man bought the golf balls = RM 20
The number of golf balls he could have bought if each ball costs 20 cents less = 5 more balls
Let the number of balls the man bought = x
Let the price of each ball be m
We have;
m × x = 20
(x + 5)·(m - 0.20) = 20
Therefore, we get;
[tex]m = \dfrac{20}{x}[/tex]
Which gives;
[tex]\left(x + 5 \right) \cdot \left(\dfrac{20}{x} - 0.20\right) = 20[/tex]
[tex]-\dfrac{\left(0.2 \cdot x^2- 19 \cdot x - 100\right)}{x} = 20[/tex]
20·x = -0.2·x² + 19·x + 100
0.2·x² + x - 100 = 0
x² + 5·x - 500 = 0
(x + 25)·(x - 20)
x = 20
The number of balls he bought, x = 20 balls
Learn more here:
https://brainly.com/question/6597326
Which of the following graphs show a proportional relationship?
Choose all answers that apply:
Choose all answers that apply:
(Choice A, Checked)
A
(Choice B, Checked)
B
(Choice C)
C
None of the above
This is from Khan Academy. Proportional Relationships
Answer:
it should be B
Step-by-step explanation:
it looks like a proportional line
Answer:
Answer A and answer B
Show the work for 783 divided by 5
Answer:
156.6
Step-by-step explanation:
Sorry for the messy handwriting.
Hope this helps!
James lives 4/5 mile from the library. he has already walked 3/4 of the way.how far james walked?
Answer:
0.5 miles or 1/20 miles.
Step-by-step explanation: You need to subtract 4/5-3/4
7/8 - 2/3
Show the answer
3. Solve the following word problems:
(3 x 4 = 12 mark
1. Rohan has to load 2456 cartons of apples equally in 5 trucks. How many cartons will be left unloaded in
the end?
mariana bedoya sanches
What is the value of b in a quadratic equation when the vertex is (1,4.5)?
Guests at an amusement park must be at least 54 inches tall to be able to ride the roller coaster. Which graph represents the set of heights that satisfy this requirement? դոր:ռռռռռռիսցերա դյուրիսիդերին դիա 56 50 51 55 57 - + 50 55 57 50 51 52 53 54 55 56 57 58 50 51 52 53 54 55 56 57 58
54 is one of the heights, so there would be a solid dot on 54. Because you need to be taller, the arrow would point to the right from the solid dot at 54 inches.
The correct graph is C ( the third one down)
The graph that represents the set of heights that satisfy this requirement is the third graph.
Which graph satisfy this requirment?The requirment is that the heights of the people who ride the roller coaster should be at least 54 inches. This means that the height of the riders can be 54, 55, 100 0r 120.
Thus the graph that represents this is the graph that has a coloured circle on 54 and extends to number greater than 54.
To learn more about the number line, please check: https://brainly.com/question/557284
Driving through the mountains,Dale has to go up and over a high mountain pass. The road has a constant incline for 7 3/4 miles to the top of the pass. Dale notices from a road sign that in the first mile he climbs 840 feet. How many feet does he climb in all ?
Answer:
6510
Step-by-step explanation:
7.75 x 840 = 6510
48.9 is 58% of what number?
Answer:
84.48
Step-by-step explanation:
Formula = Number x 100
Percent = 49 x 100
58 = 84.48