The expected score of each at bat if he earns 1 point for each hit that is not a home run and 5 points for each home run is 0.57
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
Number of bats = 369
Number of hits = 127
Number of home runs = 21
The probability of a hit:
[tex]=\frac{127}{369}[/tex] (includes home run)
The probability of home run:
[tex]=\frac{21}{369}[/tex]
The probability of hit run(without home run)
[tex]=\frac{127}{369}-\frac{21}{369}[/tex]
[tex]=\frac{106}{369}[/tex]
The probability of no hit:
[tex]=\frac{369-127}{369}[/tex]
[tex]=\frac{242}{369}[/tex]
For home run, the score will be 5 points.
If not, a home run score will be 1 points.
If Miguel does not get hit, score will be zero point.
Expected value of Miguel hit at each bat is (without home run):
For 5 hit:
[tex]=\frac{106}{369}[/tex]
For 21 home runs, the points will be 21×5 = 105 (5 points for each home run)
The expected value for this:
[tex]\frac{105}{369}[/tex]
Adding both expected hits, we get:
[tex]=\frac{106}{369}+\frac{105}{369}[/tex]
[tex]=\frac{211}{369}[/tex]
= 0.571 ≈ 0.57
Thus, the expected score of each at bat if he earns 1 point for each hit that is not a home run and 5 points for each home run is 0.57
Learn more about the probability here:
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Answer:
0.57
Step-by-step explanation:
Which equation is a linear function?
Answer:
B) -5y + 3x = 7 is linear.
Step-by-step explanation:
Since this equation has no exponents on the x or the y, no variable as an exponent, no variable inside a radical, it is a linear function. If you graph it, you will get a line.
Which of the following is true about the expression 5^1/4
Answer:
Answer is greater than 1
Includes Fraction
Rational
Step-by-step explanation:
hi please help thanks!
[tex] \frac{ \frac{15}{4} }{ \frac{1}{5} } = \\ [/tex]
[tex] \frac{15}{4} \div \frac{1}{5} = \\ [/tex]
[tex] \frac{15}{4} \times \frac{5}{1} = \\ [/tex]
[tex] \frac{75}{4} = \\ [/tex]
[tex] \frac{72 + 3}{4} = \\ [/tex]
[tex] \frac{72}{4} + \frac{3}{4} = \\ [/tex]
[tex]18 + 0.75 = [/tex]
[tex]18.75[/tex]
I need help with this ?
Answer:
132 cm cubed
Step-by-step explanation:
so if [tex]\pi[/tex] = 3
cylinder 1 = 3 x 2 x 2 x 7 = 84 cm cubed
cylinder 2 - 3 x 4 x 4 x 1 = 48 cm cubed
all together = 84 + 48 = 132 cm cubed
area of this object = 132 cm cubed
• What is the solution of 5y + 2 = 42?
y=
Answer:
y = 8
Step-by-step explanation:
Hi there!
We are given the equation 5y + 2 = 42
And we want to solve it for y
To do that, we need to isolate the variable y on one side - we don't want any numbers on the same side as y.
So we need to first get rid of any numbers on the same side as y; we can subtract 2 from both sides to remove it from the left side.
5y + 2 = 42
-2 -2
_______________
5y = 40
Now, we have variables on one side and numbers on another, but we're not done yet, as we want the value of just y, not 5y (that's 5 * y)
So to find the value of just y, divide both sides by 5
5y = 40
÷5 ÷5
________
y = 8
Hope this helps!
Please help I will give brainliest.
Answer:
t = 1 sec 5 meters
Step-by-step explanation:
When the object hits the ground , height = 0
0 = (5t+5)(1-t) so t = -1(throw out...can't have negative time value) or 1
As the object is dropped, t = 0 sub that in to the equation
h = (5(0)+5)(1-0) = 5 meters
Find the distance between the points (-8,-9)and (-3,3)
Answer:
13
Step-by-step explanation:
Use the distance formula and plug in both points
Answer:
its either 11 or 13 im not sure
Step-by-step explanation:
The point (-2, 2) is on the line given by which of the equations below?
Answer:
need a photo
Step-by-step explanation:
willl give correct answer if photo
Show that l || m?
See photo below for problem,
Answer:
A
Step-by-step explanation:
The Corresponding Angles Postulate tells you corresponding angles are congruent where a transversal crosses parallel lines.
The converse of that postulate tells you the lines are parallel if the corresponding angles at a transversal are congruent.
__
Choice A matches the proof you're asked to provide.
The reference angle for 5pie/4 is pie/4, which has a terminal point (sqr2/2,sqr2/2), what is the terminal point of 5pie/4?
Check the picture below.
please guys tell me what’s the answer for this
Answer:
119
Step-by-step explanation:
I did the math on a calculator
Erica solved the equation below. 3(a +5)=2a +35 Step 1 3a + 15 = 2a +35 Step 2 5a + 15 = 35 Step 3 5a = 20 Step =4
Answer:
B. Step 2
Step-by-step explanation:
When moving 2a to the left, you would need to subtract, not add. You would get 1a instead of 5a.
Which expression represents the volume of the sphere, in cubic units? three-fourthsπ(6)2 four-thirdsπ(6)3 three-fourthsπ(12)2 four-thirdsπ(12)3
The expression that represents the volume of the sphere is (4/3)π(6)³.
The radius of the sphere = 6 units
What is the volume of a sphere?The volume of a sphere with radius r is 4/3πr³.
So, the volume of the given sphere with a radius of 6 units = (4/3)π(6)³
The volume of the given sphere with a radius of 6 units = (4/3)π*216
The volume of the given sphere with a radius of 6 units = 288π cubic units.
Hence, the expression that represents the volume of the sphere is (4/3)π(6)³.
To get more about spheres visit:
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Answer: B
Step-by-step explanation: edge 2023
I will give some brainliest if they answer this
Answer:
Given:
Total horses tested = 140Horses that had Lyme disease = 42Horses that had arthritis = 112Let x = number of horses that had BOTH Lyme disease and arthritis.
⇒ (112 - x) + (42 - x) + x = 140
⇒ 154 - x = 140
⇒ x = 14
Therefore, place 14 in the middle overlapping area.
To find the number to place in the left section: 42 - 14 = 28
To find the number to place in the right section: 112 - 14 = 98
PLEASE HELP! WILL GIVE BRAINLIEST!
In this problem, we use your critical values table to explore the significance of r based on different sample sizes.
Answer:
1. A,B,D,E
2. E,A,B,D,C
3.H,A,C,D
Step-by-step explanation:
Help pls asap!! No links.
Answer:
Step-by-step explanation:
1. Do what is inside the parantheses
[tex]4^{2} +3+2\\16+3+2 = 21[/tex]
[tex]7^{2} +3(21)[/tex]
2. Simplify both terms
[tex]7^{2} =49\\3(21) = 63\\49+63[/tex]
3. Solve
[tex]49+63 = 112[/tex]
Answer:
the answer is 102
Step-by-step explanation:
follow the pemdas explanation
Help pleaseeeeee the options are 21,8,28,36,39,14,2,37
So the answer has to be one of those
Explanation:
Use the intersecting chords theorem to find x
JN*NK = MN*NL
(3x+6)*16 = (7x-11)*14
48x+96 = 98x-154
96+154 = 98x-48x
250 = 50x
50x = 250
x = 250/50
x = 5
This means,
JN = 3x+6 = 3(5)+6 = 21
JK = JN+NK = 21+16 = 37
Question 4e Choice Worth 2 )
(03.06 MC)
B В
V
х
у
WD
N
A
What expression represents the value of x?
Ox= ww+z)
Ox=vZ(w+z)
=
Ox=/wy
Ox=WZ
ſ
Answer:
A
Step-by-step explanation:
using the altitude- on- hypotenuse theorem
( leg of large Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse ) , so
x² = w × (w + z) = w(w + z) ← take square root of both sides
x = [tex]\sqrt{w(w+z)}[/tex]
The expression that represents the value of 'x' will be x = √[w(w + z)]. Then the correct option is A.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The triangles ΔABC and ΔBCD are similar triangles. Then the ratio of the corresponding sides will be constant.
Then the equation is given as,
x / (w + z) = w / x
Simplify the equation for 'x', then the equation is written as,
x / (w + z) = w / x
x² = w × (w + z)
x = √[w(w + z)]
The expression that represents the value of 'x' will be x = √[w(w + z)]. Then the correct option is A.
More about the right-angle triangle link is given below.
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#SPJ2
Which probabilities are correct? select two options. p(a|c) = two-thirds p(c|b) = startfraction 8 over 27 endfraction p(a) = startfraction 31 over 59 endfraction p(c) = three-sevenths p(b|a) = startfraction 13 over 27 endfraction
Probability of an event is the measure of its chance of occurrence. The correct probabilities are:
P(A|C) = 2/3P(C) = 3/7How to interpret conditional probabilities?Suppose that the sample space is S. Out of which there are two events, A and B, subsets of S.
Then, we can interpret P(A|B) as the probability of that part of A which is in B, with the new sample space as B. (assuming probabililty of B isn't 0).
Symbolically, we write it as:
[tex]P(A|B) = \dfrac{P(A \cap B)}{P(B)}[/tex]
What is the size of the union of three sets?For three sets, A, B and C:
[tex]n(A \cup B \cup C) = n(A) + P(B) + P(C) - n(A\cap B) - n(A \cap C) - n(B \cap C) + n(A \cap B \cap C)[/tex]
The problem is incomplete. The corresponding venn diagram is attached below.
We can symbolize the venn diagram as:
[tex]n(A) = 12+8+6+5 =31\\n(B) = 11+8+5+3 = 27\\n(C) = 4+8+6+3 = 21\\n(A \cap B) = 5+8=13\\n(B\cap C) = 3+8=11\\n(A \cap C) = 6+8=14\\n(A \cap B \cap C) = 8[/tex]
S = sample space = collection of all unique elements.
S is union of A, B and C.
[tex]n(S) = n(A \cup B\cup C) = 31 + 27 + 21 -13-11-14+8 = 49[/tex]
Checking all the options for their correctness:
P(A|C) = 2/3We have:
[tex]P(A|C) = P(A\cap C)/P(C) = \dfrac{n(A\cap C)/n(S)}{n(C)/n(S)} = \dfrac{n(A \cap C)}{n(C)} = \dfrac{14}{21} =\dfrac{2}{3}[/tex]
Thus, its correct.
P(C|B) = 8/27[tex]P(C|B) = P(C\cap B)/P(B) = \dfrac{n(C\cap B)/n(S)}{n(B)/n(S)} = \dfrac{n(C \cap B)}{n(B)} = \dfrac{11}{27} \neq \dfrac{8}{27}[/tex]
Thus, this option is incorrect.
[tex]P(A) = \dfrac{n(A)}{n(S)} = \dfrac{31}{49} \neq \dfrac{31}{59}[/tex]Thus, this option is incorrect.
P(C) = 3/7[tex]P(C) = \dfrac{n(C)}{n(S)}= \dfrac{21}{49} =\dfrac{3}{7}[/tex]
Thus, its correct.
P(B|A) = 13/27[tex]P(B|A) = P(B\cap A)/P(A) = \dfrac{n(B\cap A)/n(S)}{n(A)/n(S)} = \dfrac{n(B\cap A)}{n(A)} = \dfrac{13}{31} \neq \dfrac{13}{27}[/tex]
Thus, this option is incorrect.
Thus, the correct probabilities are:
P(A|C) = 2/3P(C) = 3/7Learn more about probability here:
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Find three consecutive positive integers such that the product of the first and third, minus the second, is 1 more than 3 times the third.
The smallest integer is ___
Answer:
The smallest integer is 4Step-by-step explanation:
So here this question is of concept linear equations. As in linear equations we assumes the unknown number as an variable after that an equation would be formed which we would solve and get the answer. Here also we would be doing same.!!
Let us assume the first consecutive positive integer as m. Therefore, second and third consecutive number would be (m + 1) and (m + 2) respectively.
Refer to the attachment now.
Which inequality is represented by the graph?
Answer:
The correct option isn't shown on the image. I have attached a DESMOS graph with the option listed, and added an approximate equation that comes close to the actual line. This should aid in understanding the equations and lines.
Step-by-step explanation:
See attached image.
The one option is noted as the first equation. I added two points from the line provided: (0,-2.5) and (3.5,0) and then approximated an equation that comes closer. I simply chose 3x-4y=>10, and it comes close to the actual line that goes through the two given points.
To do this properly, find the equation, y=mx+b, of the given line using the two points selected:
Slope, m is rise/run:
Rise = 2.5
Run = 3.5
Slope = 2.5/3.5
y-intercept, b, is -2.5
The equation of the given line is y = (2.5/3.5)x - 2.5
We can rewrite this in the form the answer options are given, or rearrange the answer options to standard form in order to make the comparison.
Hopefully this will help guide to the correct solution.
Which function has an axis of symmetry of x = −2? f(x) = (x − 1)2 2 f(x) = (x 1)2 − 2 f(x) = (x − 2)2 − 1 f(x) = (x 2)2 − 1
The fourth function, f(x) = (x+2)^2-1 has an axis of symmetry of x = -2.
All of these functions start from the same function, f(x) = x^2, which has an axis of symmetry of x = 0.
What is a quadratic function?A quadratic function is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
The first function has been shifted 1 unit to the right and 2 units up, which have an axis of symmetry at x = 1.
The second function has been shifted 1 unit to the left and 2 units down, which have an axis of symmetry at x = -1.
The third function has been shifted 2 units to the right and 1 unit down, which have an axis of symmetry at x = 2.
The fourth function has been shifted 2 units to the left and 1 unit down, which have an axis of symmetry at x = -2.
As you can see, the last function has been shifted 2 units to the left, which has an axis of symmetry at x = -2.
Thus, The fourth function, f(x) = (x+2)^2-1 has an axis of symmetry of x = -2.
Learn more about function;
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Answer:
D. f(x) = (x + 2)2 − 1
Step-by-step explanation:
took the test on edge :)
Can Someone Help Me With This Please
Answer:
-3 = -5
-2= -4
-1= -3
0= -2
1 =.-1
Step-by-step explanation:
From the input -2 and from the output -4,
we can make an equation,
-2 + x =-4
or, x= -4 +2
or, x = -2
Again,
From the input 1 and output -1,
We can make an equation,
1 + x = -1
or, x= -1 -1
or, x= -2
Therefore, we know that x = -2
Now, putting the value of X in the following equations, we get,
Input Processing output
-3. -2. -5
-2. -2. -4
-1. -2. -3
0. -2. -2
1. -2. -1
anyone know? stuck on this question
Answer:
it would be A.2/3
Step-by-step explanation:
I hope this helps if not please let me now
Answer:
Should be A
Step-by-step explanation:
Because of BIDMAS do the division first and then the multiplication.
Do :
8/9 divided by 2/3
so: 8/9 * 3/2 = 24/18
24/18 * 1/2 = 24/36
24/36 simplified is 2/3
Therefore the answer is A
Find cos(B) in the triangle.
B
3
C
4
A
5
Answer:
3/4 = 6/10 = 0.6
Step-by-step explanation:
cos is Division of Adjacent side by hypotenuse
The pointer on a scale is about
1/4
of the way from 60 to 80.
What measurement
is shown?
Answer:
15
Step-by-step explanation:
the arrow is showing exactly in-between the 10 and 20 which means it is 15
A weather researcher compared average monthly temperature data for
Athens, Greece, and Brussels, Belgium
Madrid Brussels
Mean 59°F 51'F
Range 20.4°F 14.1°F
Based on these data, which statements are true?
O A. On average, Madrid has a higher monthly temperature. Its monthly
temperatures also vary more.
O B. On average, Madrid has a higher monthly temperature. However,
temperatures in Brussels vary more.
C. On average, Brussels has a higher monthly temperature. However,
temperatures in Madrid vary more.
D. On average, Brussels has a higher monthly temperature. Its
monthly temperatures also vary more.
Please please help first answer and the answer is correct will get a brainlist and a 5 star like please help!!! FAST ⚠️
Answer:
A. Madrid has a higher monthly average and its monthly temps vary more.
Step-by-step explanation:
I got this right on the quiz.
If your answer turns out to be wrong it can be due to the answers being mixed and/or i didnt read the chart you gave correctly
my apologies if i get it wrong.
Answer:
A.
Step-by-step explanation:
Which choice correctly compares the two decimal numbers to hundredths? A) 28.14 > 29.11 B) 28.61 > 28.48 C) 29.13 < 28.37 D) 29.19 < 28.32
Answer:
B) 28.61 > 28.48
Step-by-step explanation:
A is wrong because 28 < 29
B is correct because 0.61 > 0.48
C is wrong because 29 > 28
D is wrong because 29 > 28
I hope this helps!
what are the answers to both of the questions
Answer:
see explanation
Step-by-step explanation:
(1)
f(x) = g(x) , that is
- x² + 3x - 2 = - x + 1 ( add x to both sides )
- x² + 4x - 2 = 1 ( subtract 1 from both sides )
- x² + 4x - 3 = 0 ( multiply through by - 1 )
x² - 4x + 3 = 0 ← in standard form
(x - 1)(x - 3) = 0 ← in factored form
equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 3 = 0 ⇒ x = 3
(2)
let x and y be the 2 numbers : x > y , then
x + y = 217 → (1)
x - y = 85 → (2)
add the 2 equations term by term to eliminate y
2x + 0 = 302
2x = 302 ( divide both sides by 2 )
x = 151
substitute x = 151 into (1)
151 + y = 217 ( subtract 151 from both sides )
y = 66
the 2 numbers are 66, 151
What effect does the sample size have on the mean of the sampling distribution of the mean?.
Answer:
As sample sizes increase, the sampling distributions approach a normal distribution. With "infinite" numbers of successive random samples, the mean of the sampling distribution is equal to the population mean (µ).