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
The three sides of a triangle measure 4, 13, and n. What is the range of possible lengths of n?
Answer: if those are the smaller parts then the other side has to be as big as the 2 together or more and if the 13 is the biggest part the other has to be something plus the 4 that makes 13 or more
Step-by-step explanation:
Answer:
the possible lenths are 13 or more
wo 6-sided number cubes are rolled for a board game. The 2 numbers are then added together to determine how many spaces the player advances on the board. Select the method of display that would be best for showing all of the outcomes for each number cube and the sums that would result. Create the display, and justify the reasoning behind your choice.
Answer:
The odds of rolling a 3 on a 6-sided number cube is 1 out of 6. The odds of rolling a 3 on either of two 6-sided cubes are 1/3. This is because 1/6 * 2 = 1/3. Therefore, an average of one-third of rolls will have a 3 in them. 1/3 expressed as a decimal is .3 repeating (.3333333 etc) and that rounds to 33 which is less than 34.
Step-by-step explanation:
Solve the equation by balancing 3n+2=17
Answer:
3n=17-2
3n=15
n=15/3
n=5
Step-by-step explanation:
therefore putting the value of n=5 the equation can be balance
Lisa wants to buy a pair of pants at the mall. The pants originally cost $80, but they are on sale for 15% off. What is the price that she will have to pay for the pants?
Answer:
$68
Step-by-step explanation:
Original cost of pair of pants at the mall:
100% = 80
1% = 80 ÷ 100 = 0.80
15% = 0.80 x 15 = 12 (Sale price)
80 - 12 = 68 (Price after the sale)
Find the y-intercept of the line on the graph.
Enter the correct answer.
10 POINTS
At a drug rehab center 40% experience depression and 28% experience weight gain. 11% experience both. If a patient from the center is randomly selected, find the probability that the patient (Round all answers to four decimal places where possible.)
a. experiences neither depression nor weight gain.
b. experiences depression given that the patient experiences weight gain.
c. experiences weight gain given that the patient experiences depression.
(round to 4 decimal places)
d. Are depression and weight gain mutually exclusive?
yes
no
e. Are depression and weight gain independent?
no
yes
Using probability concepts, it is found that:
a) 0.43 = 43% probability that the patient experiences neither depression nor weight gain.
b) 0.3929 = 39.29% probability that the patient experiences depression given that the patient experiences weight gain.
c) 0.275 = 27.5% probability that the patient experiences weight gain given that the patient experiences depression.
d) No.
e) No.
---------------------
Conditional probability is an important part of the exercise.The formula is:[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
P(B|A) is the probability of event B happening, given that A happened. [tex]\mathbf{P(A \cap B)}[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.----------------------
40% experience depression, thus [tex]P(A) = 0.4[/tex]28% experience weight gain, thus [tex]P(B) = 0.28[/tex]11% experience both, thus: [tex]P(A \cap B) = 0.11[/tex]Item a:
The probability of experiencing at least one of them is:[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.4 + 0.28 - 0.11 = 0.57[/tex]
The probability of none is:[tex]p = 1 - P(A \cup B) = 1 - 0.57 = 0.43[/tex]
0.43 = 43% probability that the patient experiences neither depression nor weight gain.
Item b:
This probability is: [tex]P(A|B)[/tex].Using conditional probability:[tex]P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{0.11}{0.28} = 0.3929[/tex]
0.3929 = 39.29% probability that the patient experiences depression given that the patient experiences weight gain.
Item c:
Similar to b, thus:[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.11}{0.4} = 0.275[/tex]
0.275 = 27.5% probability that the patient experiences weight gain given that the patient experiences depression.
Item d:
[tex]P(A \cap B) \neq 0[/tex], thus, the events are not mutually exclusive.
Item e:
We have that: [tex]P(A \cap B) = 0.11[/tex]Also: [tex]P(A)P(B) = 0.4(0.28) = 0.112[/tex][tex]P(A \cap B) = P(A)P(B)[/tex], thus, the are not independent.A similar problem is given at https://brainly.com/question/21421475
If the length of the base of a rectangle is increased by 30 percent but the length of the altitude is decreased by 40 percent, by what percentage is the area changed?
i think a picture with help
A deck of cards contains red cards numbered 1,2,3, Blue cards numbered 1,2,3,4,5,6, and green cards numbered 1,2. If a single card is picked at random, what is the probability that the card is not green? Provide the final answer as a fraction?
Answer:
[tex]\frac{9}{11}[/tex]
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
We have:
3 red cards
6 blue cards
2 green cards.
What is the probability that the card is not green?
3 + 6 + 2 = 11 cards, of which 3 + 6 = 9 are not green. So
[tex]\frac{9}{11}[/tex] probability that the card is not green
The scatter plot shows Leanna's elevation above sea level during a hike. The trend line passes
through the points (30,1070) and (75,1680). If Leanna starts at 663 feet above sea level and
maintains the same rate, how far above sea level will she be after one hour?
Answer:
The y-intercept is 663 and the slope is 13.56.Thus, the equation for the trend line is y = 13.56x + 663
Step-by-step explanation:
After one hour, her altitude will be
1476.60 feet above sea level. that was only if u get a part b
Help please if you know the answer
Answer:
180-140=a
180-90=b
180-a-b= your ans
Jeremy bought 3 pairs of pants for $68.25. Each pair of pants cost the same amount. How much will he pay for 5 pairs of pants at the same price per pair?
$170.63
$341.25
$113.75
$22.75
Answer:
113.75
Step-by-step explanation:
un autobús A hace recorrido cada 8 días y otro autobús B lo hace cada 10 días. Si coinciden en su salida en la central de autobuses el día 20 de noviembre ¿Cuando volverán a coincidir??
ayuda por favor es para hoy
Answer:
R/= se volveran a encontrar el 30 de diciembre
Step-by-step explanation:
voy a sacar el m.c.m :
8 10 =2
4 5 =2
2 5 =2 2x2x2x5= 8x5 =40
1 5 = 5
1 1 =
The table below represents values of f(x) for selected values of x.
-4 -2 2 4
x
-4
O
8
12
The linear function g(x) is shown in the coordinate plane below.
Which statement is true?
The function f(x) has a greater rate of change than the function g(x).
The function g(x) has a greater rate of change than the function f(x).
The function g(x) has a greater x-intercept than the function f(x)
The function g(x) has a greater y-intercept than the function f(x).
Answer:
The function g(x) has a greater x- intercept than the function f(x)
Step-by-step explanation:
I need help, Please help me.
Answer:
Yes, SSS
Step-by-step explanation:
Well they are congruent since well the triangles are from a square which means that the sides will all be equal so therefore it is the SSS rule which stands for "side, side, side" meaning all of the sides are equal.
A wave has frequency of 10 Hz and a speed of 30 m/s. What is the wavelength of the
wave?
Answer:
[tex]\lambda = 3[/tex]
Step-by-step explanation:
Given
[tex]v = 30m/s[/tex]
[tex]f = 10\ Hz[/tex]
Required
Determine the wavelength [tex]\lambda[/tex]
This is calculated as:
[tex]\lambda = \frac{v}{f}[/tex]
Substitute values for v and f
[tex]\lambda = \frac{30}{10}[/tex]
[tex]\lambda = 3[/tex]
Hence, the wavelength is 3
the product of 4 and twice a number is 60
Answer: I think the answer would be 4+2n=60.. might be wrong though
Step-by-step explanation:
Evaluate x1 - x1 + x0 for x = 2.
0
1/2
1 1/2
2 1/2
Answer:
the answer is 0
Step-by-step explanation:
hoped I helped:)
Answer: 2 1/2
Step-by-step explanation:
Booneville Theater sold 1,330 tickets to Shakespearean plays last season. This season, the
theater sold 40% more than that tickets to Shakespearean plays. How many such tickets did
the theater sell this season?
Answer:
1862 tickets.
Step-by-step explanation:
1330 increase 40% =
1330 × (1 + 40%) = 1330 × (1 + 0.4) = 1862
Different shapes are drawn on cards and then the cards are placed in a bag. The number of cards for each shape is shown in the table.
Shape octagon square circle
Number of cards 12 27 91
What is the probability that a randomly selected card has a circle drawn on it?
Answer:
5 %
Step-by-step explanation:
The value of 3' x10, when x = -2, can be
written in simplest form as a lb, where
a=
and b =
Answer:
[tex]a = 8[/tex] and [tex]b = 2[/tex]
Step-by-step explanation:
Given
[tex]\sqrt[3]{x^{10}}[/tex]
[tex]x = -2[/tex]
Required
Express as: [tex]a\sqrt[3]{b}[/tex]
Substitute -2 for x in [tex]\sqrt[3]{x^{10}}[/tex]
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{(-2)^{10}}[/tex]
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{1024}[/tex]
Express 1024 as 2^10
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{10}}[/tex]
Apply law of indices:
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{9+1}}[/tex]
Apply law of indices: Split
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{9}*2^1}}[/tex]
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{9}} *\sqrt[3]{2^1}}[/tex]
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{9}} *\sqrt[3]{2}}[/tex]
[tex]\sqrt[3]{x^{10}} = 2^{9*\frac{1}{3}}} *\sqrt[3]{2}}[/tex]
[tex]\sqrt[3]{x^{10}} = 2^3 *\sqrt[3]{2}}[/tex]
[tex]\sqrt[3]{x^{10}} = 8\sqrt[3]{2}}[/tex]
By comparison:
[tex]a = 8[/tex] and [tex]b = 2[/tex]
Answer:
a=-8 and b=-2
Step-by-step explanation:
Edge
Landen has his daily video gaming time each day for 7 days. But one day he plays and extra 50 minutes. His total video playing time for the week was 540 minutes. How long is his daily video playing time? Choose the equation that describes this word problem.
Answer:
im thinking 25 or 24
Step-by-step explanation:
sorry if i made you get it wrong
Solve 4^x+2 = 2^x-1. What are the exact and approximate solutions?
Answer:
no solution
Step-by-step explanation:
examples: 4^1 + 2 = 2^ 1 -1 and the answer is 6 = 1 which is not true. So its gonna be hard for them to have a solution.
Answer:
C. x = -5 ln 2/ ln 2 = -5
Step-by-step explanation:
Test test 123 123 12345678
Answer:
test test 9101112131415
Answer:
Answer answer 233 234 23456789
Step-by-step explanation:
is that right.......:)
⚠️⚠️⚠️PLZZZ HELP ⚠️⚠️⚠️Which shows a reflection over the x-axis?
Answer:
option #1 is a reflection over the x-axis.
Step-by-step explanation:
option #1 is a reflection over the horizontal axis, which is the x-axis. the end of the bold horizontal line in the middle of the graph (the one that goes from side to side) is labeled with an "x" which indicates that it's the x-axis.
option #2 is a reflection over the vertical axis, which is the y-axis. the top of the bold vertical line in the middle of the graph (the one that goes up and down) is labeled with a "y" which indicates that it's the y-axis.
option #3 is not a reflection over either of the axes. it actually seems to be a rotation rather than a reflection.
i hope this helps! have a lovely day <3
Answer: First option
Step-by-step explanation:
I need help with this
Answer:
look at the picture i sent.......
50 POINTS (SUPER IMPORTANT PLEASE HELP)
Simplify 6/√5 with steps and simplify 5/√45 with steps
#1
[tex]\sf \longmapsto \dfrac{6}{ \sqrt{5} } [/tex]
[tex]\sf \longmapsto \: \dfrac{6}{5} \sqrt{5} [/tex]
[tex]\sf \longmapsto2.683282[/tex]
#2
[tex]\sf \longmapsto5/\sqrt{45} [/tex]
[tex]\sf \longmapsto \: \dfrac{1}{3} \sqrt{5} [/tex]
[tex]\sf \longmapsto0.745356[/tex]
What is the equivalent property of 7(x+3)
Answer:
7x+21
Step-by-step explanation:
what is the value of X in the figure shown below
Answer:
32
Step-by-step explanation:
Which is the smallest integer? - 11;53; 33; -13; -7
-13 is the smallest among these integers.
Answer:
- 13
Step-by-step explanation:
QUESTION IS IN THE PICTURE, PLEASE HELP!!
Answer:
The median is 5, mode is 5, and range is 12
Step-by-step explanation:
Answer:
MEDIAN - 5
MODE - 2 (4times)
RANGE - 13-1=12 (12 is the range)
Step-by-step explanation:
MEDIAN - Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
MODE - The mode is the element that occurs most in the data set. In this case, 2 occurs 4 times.
RANGE - Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 13-1=12