Three landmarks of baseballachievement are Ty Cobb’s batting average of 0.420 in 1911,Ted Williams’s 0.406 in 1941, and George Brett’s 0.390in 1980. These batting averages cannot be compared directly becausethe distribution of major league batting averages has changed overthe years. The distributions are quite symmetric and (except foroutliers such as Cobb, Williams, and Brett) reasonably normal.While the mean batting average has been held roughly constant byrule changes and the balance between hitting and pitching, thestandard deviation has dropped over time. Here are the facts:
Decade
Mean
Standard Deviation
1910s
0.266
0.0371
1940s
0.267
0.0326
1970s
0.261
0.0317
Compute the standard units for the batting averages of Cobb,Williams, and Brett to compare how far each stood above his peers.Who is the better player of the three?
Answer:
Ted Williams has the highest standardized score, hence Williams is the best of the three
Cobb is the second highest and hence, the better player
George Brett is third
Step-by-step explanation:
Given the data:
Decade : 1910 __ 1940 ____ 1970
Mean, μ: 0.266 __0.267 ___ 0.261
S/dev, σ : 0.0371 _ 0.0326 __ 0.0317
To compute the standard unit for batting averages, we obtain the standardized score for each of Cobb,Williams, and Brett.
Standardized score (Zscore) : (x - μ) / σ
Cobb, x = 0.420
Ted Williams, x = 0.406
George Brett, x = 0.390
COBB:
Zscore = (0.420 - 0.266) / 0.0371 = 4.1509
Ted Williams :
Zscore = (0.406 - 0.267) / 0.0326 = 4.2638
George, Brett = (0.390 - 0.261) / 0.0317 = 4.0694
Ted Williams has the highest standardized score, hence Williams is the best of the three
Cobb is the second highest and hence, the better player
George Brett is third
The rectangular pyramid below has a height of 6 inches what is the volume of the pyramid? A. 18 cubic inches
B. 40 cubic inches
C. 120 cubic inches
D. 360 cubic inches
The Volume of rectangular Pyramid whose height inches is 40 cubic inches.
What is the Volume of rectangular pyramid?
The volume of the rectangular pyramid is defined as the capacity of the rectangular pyramid. In geometry, a rectangular pyramid is a three-dimensional geometric shape that has a rectangular base and four triangular faces that are joined at a vertex.
Here, height of pyramid = 6 inches
base area = 4 X 5 = 20 sq. inches
Volume of rectangular pyramid = 1/3 × Base Area × height
= 1/3 X 20 X 6
= 120 / 3
= 40 cu. inches
Thus, the Volume of rectangular Pyramid whose height inches is 40 cubic inches.
Learn more about rectangular pyramid from:
https://brainly.com/question/21334693
#SPJ2
The diagram below shows a circular pizza with a diameter of 16 inches. The pizza is in a square box with side lengths of 18 inches. In square inches, how much of the box is empty?Use π = 3.14 and round your answer to the nearest hundredth.
Answer:
pls do mark my answer as the brainliest..........
Step-by-step explanation:
portion of square empty = 256 - 153.86 = 102.14cm^2
Which graph represents the function f(x)=0•2^x+3
Step-by-step explanation:
Literally, lets not waste anybody's time. Super simple fix, you'll thank me later!
Type in desmos graphing calculator.
You have the opportunity to purchase a MLB Franchise. The probability distribution of expected returns for the franchise is as follows:
Probability Rate of Return
0.1 –20%
0.2 0%
0.4 7%
0.2 15%
0.1 25%
The expected rate of return for your investment in the MLB Franchise is____Expected rate of return = ∑Piki. The standard deviation is_____.
Answer:
The expected rate of return is 6.3%.
The standard deviation is of 11.29%.
Step-by-step explanation:
Expected rate of return
Multiply each rate by its probability. So
[tex]E = 0.1(-20) + 0.2(0) + 0.4(7) + 0.2(15) + 0.1(25) = 6.3[/tex]
The expected rate of return is 6.3%.
Standard deviation:
Square root of the difference squared between each value and the mean, multiplied by the probability. So
[tex]S = \sqrt{0.1(-20-6.3)^2 + 0.2(0-6.3)^2 + 0.4(7-6.3)^2 + 0.2(15-6.3)^2 + 0.1(25 - 6.3)^2} = 11.29[/tex]
The standard deviation is of 11.29%.
Answer the following. Round all answers to the nearest hundredths place.
The angle of elevation from point A to the top of the cliff is 38 degrees. If point A is 80 feet from the base of the cliff, how high is the cliff?
Answer:
62.5ft
Step-by-step explanation:
It doesnt matter if there's bumps along the side, the height will still reach to the same point.
Using trigonometry we have a adjacent and the opposite.
Hypotenuse is opposite the right angle
Opposite is opposite the angle
Adjacent is the last side to remain
Soh Cah Toa
We'll be using toa (Tan) because o and a (opposite and adjacent)
rearranging the original formuma :
Side × tan(Angle)
80 × tan (38) =62.50285....ft
the pounds p of the flour and how many cakes c you can make
Answer:
How many pounds of flour do you have and how many pounds of flour it takes to make a cake?
Step-by-step explanation:
the manager of a school radio station is conducting a survey she wants to find out which type of music introvert how would the manager most likely get a random sample that represents the school population
Answer:
type of music students prefer. How would the manager most likely get a random sample
that represents the school population?
Step-by-step explanation:
I may or may not have given my explanation in my answer 0.0
Cart 1 (500 g) moves to the right at 0.40 m/s. Cart 2 (250g) moves to the left at 0.50 m/s. a. If the carts stick after the collision, what will be their velocity?
Answer:
after the collision cart 1 will stop and cart 2 will keep moving will 0.1.m/s after stop.
please help me. this is my last problem and i’m clueless.
Answer:
-3
Step-by-step explanation:
so you SUBSTITUTE -2 in for z
ok i think they are trying to be tricky here
so
-1 - (-(-2))
inside parentheses, the two negatives are going to cancel eachother out.
now you have
-1 - (2)
which is
-1 - 2
-1 minus 2 is -3
Work out (5 x 10^3) (9 x 10^7)
Give your answer in standard form.
Answer:
(5 x 10^3) (9 x 10^7) = 5 × 9 × 10^3 × 10^7 = 45 × 10^10
Given that f(x) = -3x, g(x) = x + 3 and h(x) = 3f(x + 1) = g(x), then
what is the value of h(2)?
Answer:
hkhqews
Step-by-step explanation:
nc2ecnw
pls help I'll mark the first person brainliest answer all
Answer:
4
a. 12
b. 8
c. 30
d. 40
Step-by-step explanation:
each exterior = 360/n
30*n=360
divide both side by 30
Answer is 12
The same apply to others to 4d
so first its 4
a. 12
b. 8
c. 30
d. 40
i will try to explain:
each exterior = 360/n
30*n=360
divide both side by 30
Answer is 12
The same apply to others to 4d
The number of students, s, is at most 30.
Answer:
I'm confused
Step-by-step explanation:
maybe more context?
Pls help. Im so lost.
Answer:
x = 35 degrees
Step-by-step explanation:
supplementary angles = 180 degrees
m<A + m<B = 180
(2x - 5) + 3x = 180
5x - 5 = 180
5x = 175
x = 35
The diameter of a circle is 3 meters. What is the circumference?
Answer:
C≈9.42m
Using any of this formulas
C=2πr
C=2πrd=2r
Solution:
C=πd=π·3≈9.42478m
Anji bought 4 shirts for $56.80. She later bought a shirt for $19.20. What was the mean cost of all the shirts in dollars?
Answer:
$15.20
Step-by-step explanation:
When you are asked to find the mean, you would add up the costs of the shirts and then divide them by however many shirts she got.
56.80 + 19.20 = 76
76 ÷ 5 = 15.20
Thus the mean cost is $15.20
Hope this helped!
Adalia has a cooler where the inside is in a shape of a rectangular prism. The inside of the cooler is 20 inches wide, 14 inches high, and 12 inches long. What is the volume in cubic inches of the inside of the cooler?
( will give brainliest if u help)
Answer:
A.
Step-by-step explanation:
took test
what is the volume of a rectangular prism wi the the dimensions3 base 5/8 cm, height 2/3 cm, and length 3/4 cm?
Answer:
5/16 cm³Step-by-step explanation:
Given that the:
Width (W) = 5/8 cmHeight (H) = 2/3 cmLength (L) = 3/4 cmFind the volume of the cuboid!
Volume equation =
W × H × L =
5/8 × 2/3 × 3/4 =
(5×2×3)/(8×3×4) =
30/96 =
5/16 cm³The volume = 5/16 cubic centimetres
____________________
#IndonesianPride - kexcvi
the area of a 12-cm-wide rectangle is 288 cm^2 what is its length?
Answer:
24cm
Step-by-step explanation:
The area of the rectangle is length × breadth. You already know the area and the breadth, so you can find the length.
288cm² = length × 12cm
length = 288cm² ÷ 12cm
= 24cm
choose all answers that apply
Answer:
none of the above
Step-by-step explanation:
An isosceles trapezoid cannot be rotated to create the same image therefore it has no angle of rotational symmetry.
Please help with math question.
9514 1404 393
Answer:
C
Step-by-step explanation:
Multiply numerator and denominator by the conjugate of the denominator.
[tex]\displaystyle\frac{7}{-4-\sqrt{x}}=\frac{7(-4+\sqrt{x})}{(-4-\sqrt{x})(-4+\sqrt{x})}=\frac{-28+7\sqrt{x}}{16-x}=\boxed{\frac{7\sqrt{x}-28}{16-x}}[/tex]
pls help with math that’s attached
Answer:
TU = 28.5
Step-by-step explanation:
The triangles are congruent because of side-angle-side
TU = VU because corresponding sides of congruent triangles are congruent.
so:
3x + 9 = 7x - 17
simplify:
4x = 26
x = 6.5
TU = 3(6.5 + 9) = 19.5 + 9 = 28.5
Answer:
3x+9=7x-17
26 = 4x
x=6.5
TU:28.5
Item 5
Which measure of central tendency best describes the data?
47, 47, 48, 54, 102, 45, 100, 48, 83
either mean or median
median only
mean only
Answer:
the answer is either mean or median because you can find both of them given the data
(8x + 11x) + (-7 - 18)
Answer:
19x - 25
steps:
(8x + 11x) + (-7 - 18)
19x + (-25)
positive x negative = negative
19x - 25
Answer:
19x - 25
Step-by-step explanation:
(8x + 11x) + (-7 - 18) <------- add the bold ones (combine like terms)...
19x + (-7 - 18) <--------------- subtract the bold ones...
(19x) - 25 <-------------------- eliminate parenthases
19x - 25 <--------------------- solution...
Need help ASAP for exam!!!Solve for x. Just type the NUMBER with no spaces. It will be marked wrong if you don't. If you want to write a square root, for example square root of 5
Answer:
Step-by-step explanation:
Find the value of x to the nearest tenth! HELP ME!!!!!!!!!!!!! (PICTURE IS BELOW)
Answer:
11.4
Step-by-step explanation:
By Pythagoras Theorem:
[tex]x^{2} = {7}^{2} + ( {4}^{2} + {8^{2}}) \\ \\ x^{2} = 49+(16 + 64)\\ \\ x^{2} = 49+80\\ \\ x^{2} = 129 \\ \\ x = \sqrt{129} \\ \\ x = 11.3578167 \\ \\ x = 11.4[/tex]
What is the equation of this trend line?
Enter your answers by filling in the boxes.
K= J+
Answer:
K = -2 J = 28
Step-by-step explanation:
I took the k12 test
Answer:
The answer is K=-2 J+24.
Step-by-step explanation:
Which is the lower rate 165 students on 5 buses or 140 students on 4 buses
Answer:
140 students on 4 buses
the mean age of swimers for all of these teams is 10. what does a large mad tell you.eade help