(a) The main number of home runs hit per game is 2.6.
(b) The median number of home runs hit per game is 3.
(c) The mode(s) of the number of home runs hit per game are 2 and 3.
How to find main number of home runs hit?a) To find the main number of home runs hit, we need to calculate the mean of the data set.
Mean = (1+2+4+3+2+4+3+0+1+2+3+5+2+1+5) / 15 = 2.6
Therefore, the main number of home runs hit per game is 2.6.
How to find the median?b) To find the median, we need to arrange the data set in order from smallest to largest:
0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5
Since there are an odd number of data points, the median is the middle value, which is 3.
Therefore, the median number of home runs hit per game is 3.
How to find the mode?c) To find the mode, we need to determine which value appears most frequently in the data set. In this case, 2 and 3 each appear three times, which means that there are two modes: 2 and 3.
Therefore, the mode(s) of the number of home runs hit per game for the Millard Girls' Softball team are 2 and 3.
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Nathan put $200 in a savings account for two years. The interest rate is 6% and will be compounded annually. How much money will he have at the end of the two years?
After two years, Nathan will have a total amount of $212.48 in his savings account.
To calculate the final amount, we can use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount (initial deposit), r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the number of years.
In this case, the principal amount is $200, the annual interest rate is 6% (or 0.06 as a decimal), the interest is compounded annually (n = 1), and the time period is two years (t = 2). Plugging in these values into the formula, we get A = 200(1 + 0.06/1)^(1*2) = $212.48. Therefore, at the end of the two years, Nathan will have $212.48 in his savings account.
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Marta’s fruit stand sold many oranges on Thursday and twice as many on Friday. Altogether, on both days, she sold 108. Which equation represents the problem?
need help, please
108 – 2x = x
2x – x = 108
x + 108 = 2x
x + 2x = 108
will give 55 points
Answer:
The answer is D: x + 2x = 108
Step-by-step explanation:
I finished the test and got them all right.
The required equation is x + 2x = 108 which represents the given problem. The correct answer would be an option (D).
What is algebra?Algebra is a discipline of mathematics that deals with symbols and the rules that govern their use. These symbols, known as variables in elementary algebra, indicate quantities with no set values. Equations in mathematics express relationships between variables in the same way that sentences indicate relationships between specific words.
The equation that represents the problem is:
x + 2x = 108
This equation represents the total number of oranges Marta sold on Thursday (x) and Friday (2x) being equal to 108.
Hence, the correct answer would be an option (D).
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4x : 3 = 11 : 5
what is the value of x
Answer: this is the answer
Step-by-step explanation:
Is (−3, 7) a solution of the equation y = 4x + 15?
Answer:
no it's not a solution because when you substitute the values of x= -3 and y=7 you won't get the equation
PLEASE HELP ME QUICK!!!!
USE ARITHMETIC OR GEOMETRIC SEQUENCE TO SOLVE.
Lisa wants to get a new phone. An iPhone 12 is $800 while an iPhone 8 is $600. If the iPhone 12's price goes down by 10% each year and the iPhone 6's goes down by 5% each year, Which phone would be the cheapest for Lisa to get after three years?
Answer:
iPhone 12!!!!!!!!!!!!
Answer:
The iphone 8
Step-by-step explanation:
To find the nth term of a geometric sequence we have the following equation
ar^(n-1)
where a is the first term
r the is the common ratio
n is the term
we can see that the first term for the iphone 12 is 800, the common ratio is .9 (1-.1), and we need the third term
Therefore the price of an iphone 12 after 3 years is
800*.9^(3-1)
which is 648
The iphone 8's first ter is 600 and the common ratio is .95 (1-.05)
using the same equation
600*.95^(3-1)
which is 541.5
-3x = -12 need to know the answer because I'm late for my homework
Answer: 4
Step-by-step explanation: Divide both sides by -3 so the x is by itself. When you divide both sides by -3, you get x =4.
Answer:
4
Step-by-step explanation:
Divide -3 on both sides so that x is by itself
-3x = -12
-3 -3
-3 is cancelled out
-12 divided my -3 is 4
Since both numbers are negative it would end up positive.
If the numbers are both positive then it would be positive as well.
And if one number is positive and the other is negative then the answer would be negative.
The answer would be: 4
I hope it helps! Have a great day!
Write the converse of this conditional statement If an animal is a poodle, then it is a dog.
Answer:
It's a dog of an animal is a poodle.
Step-by-step explanation:
You switch the order of the statement.
Please help, I have no idea what to do
Answer:
32,29
Step-by-step explanation:
Answer:
(x,y) = (-3,-6)
Step-by-step explanation:
gm gn cgmcgmxgmgnx
Solve each of the following equations.
a.
24 = -3 + 3n
b.
11 + 4x = x - 10
c.
-216 = 1 + 7(1 + 8m)
d.
3p - 3(2 - 2p) = 34 + 4p
You must show all of your work to receive credit.
I will give you 27 points if you solve this by showing your work plz
Answer:
A) n=9
B)X=-7
C)m=-4
D)P=8
Step-by-step explanation:
A)24=-3+3n
move variable to the lefthand side &change its sign
-3n+24=-3
move the constant to the righthand side &change its sign
-3n=-3-24
calculate the difference
-3n=-27
devide both sides by-3
Solution:
n=9
B)11+4x=x-10
11+4x-x=-10
move variable to the lefthand side &change its sign
4x-x=-10-11
move constant to the righthand &change its sign
4x-x=-10-11
collect like terms
3x=-21
devide both sides of the equation by 3
solution :
x=-7
C)-216=1+7(1+8m)
multiply the parentheses by 7
-216=1+7+56m
add the numbers
-216=8m+56m
move variable to the lefthand side &change its sign
-56m-216=8
move constant to the righthand side &change its sign
-56m=8+216
add the numbers
-56m=224
devide both sides of the equation by -56
solution:
m=-4
D)3p-3(2-2p)=34+4p
multiply the parentheses by -3
3p-6+6p=34+4p
collect like terms
9p-6=34+4p
move the variable to the lefthand side &change its sign
9p-4p-6=34
move the constant to the righthand side &change its sign
9p-4p=34+6
collect like terms &calculate the sum
5p=40
devide both sides by 5
solution:
P=8
HiI hope this helps..
Which word is associated with multiplication when computing probabilities? Choose the correct answer below Disjoint O And O Not
When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.
According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .
According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.
The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.
Therefore,
When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.
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help asap, ill give
The greatest number of bags Caesar can make is 16 bags. Each of these bags will have 5 boxes of pasta and 8 jars of sauce.
If Caesar made fewer bags, he would have boxes of pasta and jars of sauce remaining.He could use 8 bags but this is not the greatest number he could use.What is the number of pasta and sauce in each bag?Boxes of pasta = 32Jars of sauce = 48Find the greatest common factor of 32 and 48
32 = 1, 2, 4, 8, 16, 3248 = 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.The greatest common factor of 32 and 48 is 16
So, the greatest number of bags Caesar can make is 16 bags
Number of pasta in each bag = 32/16
= 5 boxes of pasta per bag
Number of sauce in each bag = 48/16
= 8 jars of sauce per bag
If Caesar made fewer bags, he would have boxes of pasta and jars of sauce remaining.
He could use 8 bags but this is not the greatest number he could use.
Therefore, Caesar can use the greatest common factor to determine the highest number of bags he could use.
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Factor the given quadratic function x2 + 9x = 36.
Answer:
(x + 12)(x - 3)
Step-by-step explanation:
\( {x}^{2} + 9x = 36 \\ {x}^{2} + 9x - 36 = 0 \\ {x}^{2} + 12x - 3x - 36 = 0 \\ x(x + 12) - 3(x + 12) = 0 \\ (x + 12)(x - 3) = 0\)
A. 10
B. 10√2
C. 20
D. 20√2
Answer:
its would be (b)
Step-by-step explanation:
im sry if im wrong
the distribution of grades was left-skewed, but the mean, median, and mode were all the same.
In your given situation, the distribution of grades is left-skewed, which indicates that the majority of the students scored higher grades, with fewer students receiving lower grades.
If the distribution of grades was left-skewed, it means that there were more students who scored higher grades than those who scored lower grades. This would result in a longer tail on the left side of the distribution curve. However, despite the skewness, the mean, median, and mode were all the same. This suggests that the majority of the grades fell around the same value, which is the central tendency of the distribution. The fact that the mean and median are the same suggests that the skewness was not significant enough to pull the mean away from the median. Therefore, in this case, the mean and median can be considered as representative of the typical grade achieved by the students.
. However, the mean, median, and mode are all the same, suggesting that the central tendency of the grades is consistent, and the overall distribution might be only slightly skewed.
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18s^2+2g-12+15g-9s^2
Recall that the formula for the area of a triangle is A=(1)/(2) bh. Find the area of a triangle whose base is 11(1)/(2) inches and whose height is 8(1)/(4) inches. The area of the triangle is square inches.
The area of the given triangle is 47.96875 square inches.
The given values of the base and height of a triangle are b = 11(1)/(2) inches and h = 8(1)/(4) inches respectively, and we are asked to find the area of a triangle whose base and height are given. Using the formula for the area of a triangle that is A=(1)/(2) bh, we substitute the given values of the base and height as follows: A = (1)/(2) bh= (1)/(2)(11(1)/(2))(8(1)/(4))= (1)/(2)(23/2)(33/4)= 47.96875Therefore, the area of the given triangle is 47.96875 square inches.
A triangle is a three-sided polygon in geometry with three vertices and three edges. The fact that a triangle has a sum of its internal angles that is 180 degrees is its most significant property. The angle sum property of a triangle is the name of this property.
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Need help ASAP!!!!!!
Answer:
Its B
Step-by-step explanation:
Bob is having a cookout. He bought 6 liters of seltzer water. How many full 1-pint servings of seltzer can he pour?
(1 L = 2.11 pt)
a. 6
c. 18
b. 12
d. 21
Answer:
B
Step-by-step explanation:
6 x 2.11 = 12.66
The value of a 1-pint serving of shelter will be 12.66 liters. The correct option is b.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also represent the logical syntax's operation order and other properties.
Given that Bob is having a cookout. He bought 6 litres of seltzer water. The quantity of water for 1 point of serving is,
Quantity = 6 x 2.11
Quantity = 12.66
The quantity will be equal to 12.66 pints.
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Factor completely.
25+70x+49x^2=
Answer:
(7x+5)(7x+5)
Step-by-step explanation:
Factor 25+70x+49x2
49x2+70x+25
=(7x+5)(7x+5)
Answer:
(7x+5)(7x+5)
Hope this helps!
hello help please i’ll mark brainliest!!!
Answer:
365 Days
Step-by-step explanation:
The moon is at the same speed of the Earth
Answer:
It takes about one month for the Moon to orbit Earth (27.3 days to complete a revolution, but 29.5 days to change from New Moon to New Moon).
help me plsssssssss
Answer: 13. 30
Step-by-step explanation:
13. Area = 18x * 10y = 180xy
Length = 6th
With ?
180xy = 6xy x width
180 x/6xy
Width = 30
14. 3^(9-5)= 3^4 = 81 the truck weighs 81 times as the driver
3^5
Which of the following is a monomial?
A. 11x-9
B. 20x11 - 3x
C. 20x11
D. 9/x
Answer:
c is the answer of that questoion
Ferris wheel in London; England It stands 135 meters tall with a The London Eye iS a giant diamederof 120 meters: It takes half an hour to complete one revolution form hlt) = A cos( Br D t0 model the height; h (in meters). Find cosine funclion of the (in minutes). Assume the passenger passenger riding the London Eye as a function of time 0. Sketch the graph of one period on the next page and is at the bottom of the wheel at time use it to help you answer the following questions and create your function What is a rider' height at m = 0 minutes? (Hint: It is not 0 meters) 2. How long does it take for a rider to reach the top? What is the rider's height at that time? What is the period of this function? Use the period to find What is the vertical shift and amplitude of this function? 5 . Find The Equation Of Your Cosine Function, Use your function to find a rider's height at =21minutes. Sketch the graph ofyour function (This helps to answer the previous questions)
The height of a rider on the London Eye Ferris wheel in London can be modeled by the function h(t) = A * cos(B * t), where t represents time in minutes. The Ferris wheel stands 135 meters tall with a diameter of 120 meters. It takes half an hour (30 minutes) to complete one revolution.
1. At t = 0 minutes, the rider is not at the bottom of the wheel but at the midpoint of the wheel's diameter, so the rider's height is equal to the radius of the wheel, which is half of its diameter. Therefore, the rider's height at t = 0 minutes is 120/2 = 60 meters.
2. To determine the time it takes for the rider to reach the top, we need to find the period of the cosine function. The period (T) is the time it takes for one complete cycle of the function. In this case, the period is equal to the time it takes for the Ferris wheel to make a full revolution, which is 30 minutes. So, the rider reaches the top after half of the period, which is T/2 = 30/2 = 15 minutes. At that time, the rider's height is equal to the sum of the radius of the wheel and its height, which is 60 + 135 = 195 meters.
3. The period of the cosine function is T = 30 minutes.
4. The vertical shift of the function represents the average height of the rider throughout one complete cycle. In this case, the average height is the sum of the radius and the height of the Ferris wheel divided by 2, which is (60 + 135)/2 = 97.5 meters. Therefore, the vertical shift of the function is 97.5 meters. The amplitude of the function is half of the vertical distance between the maximum and minimum values, which is (135 - 60)/2 = 37.5 meters.
5. The equation of the cosine function is h(t) = 97.5 + 37.5 * cos((2π/30) * t). To find the rider's height at t = 21 minutes, we substitute t = 21 into the equation: h(21) = 97.5 + 37.5 * cos((2π/30) * 21) ≈ 185.11 meters.
In summary, the rider's height at t = 0 minutes is 60 meters. It takes 15 minutes for the rider to reach the top, at which point their height is 195 meters. The period of the function is 30 minutes. The vertical shift is 97.5 meters, and the amplitude is 37.5 meters. Using the cosine function, the rider's height at t = 21 minutes is approximately 185.11 meters.
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PLS HELPPPPPPPPPPPPOPPPPPPPPPPPPPPPPPPPPPPP
Evaluate The Polynomial Function For The Given Values Of The Variable. P(W)=6w2−20w+2; Find P(6) And P(0) P(6)=349
The value of P(0) and P(6) of The Polynomial Function above are 2 and 253/2 respectively.
Polynomial function refers to the algebraic expression that consists of several terms.
Polynomial function can be of different degrees, like linear polynomial (degree 1), quadratic polynomial (degree 2), cubic polynomial (degree 3), and so on.
The given polynomial function is P(w) = 6w² - 20w + 2.
To find P(6), substitute w = 6 in P(w).
Therefore,P(6) = 6(6)² - 20(6) + 2P(6) = 6(36) - 120 + 2P(6) = 216 - 120 + 2P(6) = 96
Adding P(6) = 349 to this equation, we get:2P(6) = 349 - 96 = 253
Therefore, P(6) = 253/2
Now, to find P(0), substitute w = 0 in P(w).
Therefore, P(0) = 6(0)² - 20(0) + 2 = 2
Therefore, P(0) = 2
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The product of b and 3 is greater than or equal to -30.
Answer:
greater than
Step-by-step explanation:
positive is higher than negative
Consider the following function f(x)=x4+3, x>=0.Find an explicit formula for f^-1
The explicit formula for f^-1 is (x-3)^(1/4) and this is obtained by switching the roles of x and y and solving for y in terms of x.
To find the inverse function of f(x)=x^4+3, we need to switch the roles of x and y, and solve for y.
Let y = x^4+3
Subtract 3 from both sides to get:
y - 3 = x^4
Take the fourth root of both sides to isolate x:
(x^4)^(1/4) = (y-3)^(1/4)
Simplify:
x = (y-3)^(1/4)
So the inverse function of f(x) is:
f^-1 (x) = (x-3)^(1/4)
This is the explicit formula for the inverse function of f(x).
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need help with this its urgent
Answer:
The last one, and the second one
Step-by-step explanation:
which of the following binary operations are commutative? a. substraction of integers b. division of nonzero real numbers c. function composition of polynomials
None of the options are commutative for the given binary operations.
Define the term commutative property?According to the commutative property, the numbers we use can be moved around or swapped around without changing the solution. With addition and multiplication, the principle is true, but not for division or subtraction.commutative property:
a*b = b*a
* is any binary operation.
Consider option a: subtraction of integers
Let a = 2, b = 3
a - b = b - a (commutative property)
But
2 - 3 ≠ 3 - 2
-1 ≠ 1 not commutative
Option b: . division of nonzero real numbers
Let a = 2, b = 3
a/b = b/ a (commutative property)
But
2/3 ≠ 3/2 not commutative
Option c. function composition of polynomials.
Let polynomial be a - b
Let a = 2, b = 3
a - b = b - a (commutative property)
But
2 - 3 ≠ 3 - 2
-1 ≠ 1 not commutative
Thus, none of the options are commutative for the given binary operations.
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What is the equation for this line? *
O y = -2x +1
O y = 1/2x + 1
O y = -2x - 1
O y = -1/2x + 1
Answer:
y = -2x + 1
Step-by-step explanation:
The y-intercept is given by the point that is on the y-axis. (1)
This means that the answer contains a +1
Then you must find if the slope is positive or negative
In this case the slope is negative because the line goes "downhill" from left to right
Since the slope is negative it means that there will be a negative sign in the beginning of the equation
Next, to find the slope you need to find the rise over run
Since it is a negative slope the rise will be negative and the run will be positive.
To find the slope find two clear points on the graph such as (0,1) and (2,0)
To find the slope, use the slope formula
This would look like: (0-2)/(1-0)
Your slope will be -2x
Piece it all together and you get a final answer of y= -2x+1