One year Terry had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched) of any male pitcher at his school, with an ERA of 2.85 . Also, Karla had the lowest ERA of any female pitcher at the school with an ERA of 2.95 . For the males, the mean ERA was 4.893 and the standard deviation was 0.949 . For the females, the mean ERA was 4.348 and the standard deviation was 0.997 . Find their respective z-scores. Which player had the better year relative to their peers, Terry or Karla ? (Note: In general, the lower the ERA, the better the pitcher.)
Answer:
Their respective z-scores are:
Thomas : -2.15279
Karla : -1.40221
Which player had the better year relative to their peers, Terry or Karla ?
Terry had a better year because he had a lower Era and he was a better pitcher.
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score,
μ is the population mean
σ is the population standard deviation.
any male pitcher at his school,
For Thomas:
z = (x-μ)/σ
x = 2.85 μ = 4.893 σ = 0.949.
z = 2.85 - 4.893/0.949
z = -2.15279
For Karla
z = (x-μ)/σ
x = 2.95 μ = 4.348 σ = 0.997.
z = (2.95 - 4.348) /0
z = -1.40221
Their respective z-scores are:
Thomas : -2.15279
Karla : -1.40221
Which player had the better year relative to their peers, Terry or Karla ? (Note: In general, the lower the ERA, the better the pitcher.)
Terry had a better year because he had a lower Era and he was a better pitcher.
I have 120 blocks. Each block is one of 2 different materials, 3 different colors, 4 different sizes and 5 different shapes. No two blocks have exactly the same all four properties. I take two blocks at random. What is the probability that these two blocks have exactly two of these four properties the same?
Answer: 0.54
Step-by-step explanatio;
We would have three in common out of 4 characteristics (4 out of 4 is not possible). There are 4 possible ways to share 3 out of 4 characteristics.
Denoting the characteristics as {M,C,Si,Sh} so P(B2={1,1,1,0}|B1={1,1,1,0}) is the probability that box 2 shares its first three characteristics with box 1 given that box one has characteristics
We now have
P(B2 has 3 elements in common with B1)=P(B2={1,1,1,0}|B1={1,1,1,0})xP(B1={1,1,1,0})+P(B2={1,1,0,1}|B1={1,1,0,1})xP(B1={1,1,0,1})+P(B2={1,0,1,1}|B1={1,0,1,1})xP(B1={1,0,1,1})+P(B2={0,1,1,1}|B1={0,1,1,1})xP(B1={0,1,1,1})
P(B2 has 3 elements in common with B1)=(4x5x24+3x4x30+2x3x40+1x2x60)1120x119= 0.084
which is close enough to the value from the simulation code (modified to count the number of 3-ties)
Now, I use the same reasoning to compute:
P(B2 has 2 or more elements in common with B1)=(19x20x6+11x12x10+9x10x12+14x15x8+7x8x15+5x6x20)1120x119= 0.54
Equation: (2-1)((3-1)+(4-1)+(5-1)) + (2)((3)+(4)) + (12) = 35 with a total of 119 possibilities.
answer: 35/119
Please helpppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
Here you go :)
Hey, don't sweat it, this is relatively simple.
0 = $0
1 = $400
2 = $800
3 = $1400
________
Answered by James
Step-by-step explanation:
Just keep adding my friend
f-1(x) = (3х – 5)2 + 12
Answer:
i think its 3 if im not mistaken
Step-by-step explanation:
wels at its next
3. The Henderson Hawks minor-league baseball team is giving away baseballs an
game. The balls cost $3 each and the towels cost $2 each. The team wants to give away
200 items and nave 5000 to spend. How many of each item should the team give away Show your
work or explain your reasoning.
This question is not correctly written
Complete Question
The Henderson Hawks minor-league baseball team is giving away baseballs an
game. The balls cost $3 each and the towels cost $2 each. The team wants to give away 200 items and have 500 to spend. How many of each item should the team give away Show your
work or explain your reasoning.
Answer:
They should give away 100 balls and 100 towels
Step-by-step explanation:
Let the number of balls = x
Let the number of towels = y
x + y = 200........ Equation 1
y = 200 - x
$3 × x + $2 × y = $5000
3x + 2y = 5000...... Equation 2
3x + 2(200 - x)= 5000
3x + 400 - 2x = 5000
Collect like terms
3x - 2x = 500 - 400
x = 100
Number of balls to be given away = 100
Note:
y = 200 - x
y = 200 - 100
y = 100
Number of towels to be given away = 100
Therefore, they should give away 100 balls and 100 towels
BRAINLIST! I WILL GIVE BRAINLIST!!!
Each of the following tables defines a relationship between an input x and an output y. Which of the following relationships do NOT represent functions?
Two television stations are running the same advertisement. One television stations runs the advertisement eveey 24 minutes and the other television station runs the advertisement every 18 minutes. Both stations have the advertisement on right now. How many minutes until both stations will have the advertisement on again at the same time?
Answer:
72 minutes
Step-by-step explanation:
Given that:
Advert runs on :
Station 1 : every 24 minutes
Station 2 : every 18 minutes
Both have the advert running presently ; How many minutes until both stations will have the advertisement on again at the same time?
To obtain the time the advert will run again at the same time on both stations, we find the Lowest common factor of 24 and 18
_2__24 ____18
_2__12_____9
_2__6_____ 9
_3__3 _____9
_3__1_____ 3
____1_____1
2 * 2 * 2 * 3 * 3 = 72
After 72 minutes
The average sneeze can travel 3100 mile in 3 seconds. At this rate, how far can it travel in one minute? (3 seconds = 120 minute)
Answer:
20666.6?
Step-by-step explanation:
3100/3= 1033.33
1033.33*20
20666.6
Convert 890 / 110 into a mixed number
Answer:
8 and 1/11.
Step-by-step explanation:
Answer:
8 1/11
Step-by-step explanation:
Hope this helps!!
Just in case :
(8 and 1/11)
A clothing store uses a markup of 40% on all items they purchase to sell, find the markup is the original cost was 10.2
Please help I’m desperate
Answer:
$14.28
Step-by-step explanation:
you have to find 40% of 10.20 which is 4.08. Then you add that to 10.20 and you get 14.28. (please give brainliest)
Answer:
4.08
Step-by-step explanation:
Dennis brought 5 cans of slime for $23.50.what was the unit rate per can?
Answer:
$4.70
Step-by-step explanation:
23.50/5=4.7
$4.70 per can of slime
2 cm X 2.4 X ? = 10.08cm
Answer:
2 × 2.4 = 4.8
10.8÷ 4.8 = 2.1cm
Answer for moneyy. will also give brainliest
Answer:
1 and 3- vertical angles
5 and 8- linear pair
2 and 6- corresponding angles
Step-by-step explanation:
I need your help for this!
Answer:
1+1=78993939939
Step-by-step explanation:
1x1= 0 (-_<)
Kiaya has to have at least $100 in her checking account to avoid a fee from the bank. She has $376 in her account now. Each week, she makes a $25 withdrawal. For how many weeks can she make this withdrawal and avoid a fee?
Answer:
11 weeks
Step-by-step explanation:
Kiaya has $376 but can only withdraw $276 before being charged by the bank.
First I subtracted the $100 she can't spend from $376.
-She has a total of $276 she can spend without being charged.
Next, I divided $276 by $25 (the amount she withdraws every week)
- The total is 11.04
This means she has 11 Weeks before she will have to pay the fee.
Hope I helped you out!! :)
The answer is = 5/2 x 15/2
Answer:
I think the answer is 5/2 x 15/2.
Answer:
75/4
But as a mixed Number: 18 3/4
Let me know if I'm wrong.
Please make brainliest.
plz answer if u can :P
Answer:
d
Step-by-step explanation:
sqaure root of both times each other gives 5
Four pounds of almonds cost $30, 7 pounds of almonds cost $52.50, and 12 pounds of almonds cost $90. Which equation gives the total cost y of x pounds of almonds?
Answer:
y=7.5x
Step-by-step explanation:
kakarot to me
aAA pfpfv
Answer:
yes
Step-by-step explanation:
The function yields the average cost in dollars for a company to produce x copies of a comic book. Which statement best fits the situation modeled by the function? The company earns 20% of the issue price as profit from each copy sold. The company earns 20 cents as profit from each copy sold. The company spends 20% of the issue price on materials to produce each copy. The company spends 20 cents on materials to produce each copy.
Answer: 20cents
Step-by-step explanation;
Company spends 20 cents on materials to produce each copy
f(x) represents the average cost in dollars for a company
x represents the number of copies of comic produced by company.
Total cost in dollars for a company = 80,000 + 0.2x
Since, x is the number of copies of comic produced ,
0.2x indicates that it spends $0.2 on material to produce each copy.
Use conversion:
1 dollars = 100 cents
0.2 dollars = 20 cents.
Answer:
The correct option is D the company spends 20 cents on materials to make each copy
Step-by-step explanation:
what is the slope of (-3,2) (-5,-2)
what is the slope of (7,1) (1,-7)
Answer:
The slope of the points (-3,2) (-5,-2) is 2
The slope of the points (7,1) (1,-7) is 4/3
Step-by-step explanation:
Use rise over run (y2 - y1) / (x2 - x1)
Plug in the points given and find the slopes:
(y2 - y1) / (x2 - x1)
(-2 - 2) / (-5 + 3)
-4/-2
= 2
Find the next slope:
(y2 - y1) / (x2 - x1)
(-7 - 1) / (1 - 7)
-8/-6
= 4/3
The slope of the points (-3,2) (-5,-2) is 2
The slope of the points (7,1) (1,-7) is 4/3
A store owner wants to develop a new snack mix by mixing banana chips and raisins. How many pounds of banana chips costing $7.70 per pound should be mixed with 18 pounds of raisins costing $4.30 per pound to create a mixture worth $5.73 per pound?
Which of the following rules represent the function graphted
F(x)=1/2x
F(x)=x
F(X) = x + 2
Answer: F(x) = x
Step-by-step explanation:
y = mx + b is the base equation
m = the slope slope equals the increase of y over x
b = the y intercept
y = 1/1 x + 0
so y = x
or f(x) = x
HELP ME FOR A BRAINLIEST PLEASE !!
Answer:
2x-3
Step-by-step explanation:
Answer:
y = 2x + 3
Step-by-step explanation:
Parallel lines must have the same slope, in the given equation, the slope is 2, so the slope for the parallel line must also be 2, so that eliminates answer choices B and D.
Now to choose between answer choices A or C, you can just plot the given point (-3, -3) into each equation and see which one fits. Answer A seems to be the correct answer.
Hope this helps!
Solve the equation x32 +10 =118
1. x =36
2. x = 6
3. x = 108
4. x = -3128
Answer:
none are correct. The correct answer is x= 3 3/8
Step-by-step explanation:
Jackson wants to divide a 2/5 pound box of trail mix into small bags. Each of the bags
will hold 1/10 pound of trail mix. How many bags of trail mix can Jackson fill?
Answer:
4 bags.
Step-by-step explanation:
1/10 is already good, but you need to multiply 2/5 by 2 to get 4/10, and then it's self-explanatory from there
11(2x + 1) = 4x - 7
show work
Answer:
0.22
Step-by-step explanation:
22x + 11 = 4x - 7
22x - 4x = -7 + 11
18x = 4
x = 4/18
x = 0.22
Please mark as brainliest.
I need help:)
Please help me
Answer:
No to both.
Step-by-step explanation:
Please Help! Solve this problem according to the directions.
Enter the missing values in the area model to find 8(8k + 9)
The area of a rectangular model is 64k²+72.
Given that, the length of a rectangle = 8k+9 units and the width of a rectangle = 8 units.
What is the area of a rectangle?The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.
Now area of a model is
(8k+9)×8
= 8×8k+8×9
= 64k²+72
Therefore, the area of a rectangular model is 64k²+72.
To learn more about the area of a rectangle visit:
https://brainly.com/question/20693059.
#SPJ2