the number of home runs hit per game for the millard girls' softball team are: 1, 2, 4, 3, 2, 4, 3, 0, 1, 2, 3, 5, 2, 1, and 5. a)what is the main number of home runs hit?
b) what is the median?
c) what is the mode?

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.

Learn more about cosine function here: brainly.com/question/3876065

#SPJ11

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).

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.

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.

To know more about an expression follow

https://brainly.com/question/23234963

#SPJ2

Answer:

Its B

Step-by-step explanation:

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

Answer:

greater than

Step-by-step explanation:

positive is higher than negative

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

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

Learn more about polynomial at

https://brainly.com/question/13337738

#SPJ11

Answer:

(x + 12)(x - 3)

Step-by-step explanation:

\( {x}^{2} + 9x = 36 \\ {x}^{2} + 9x - 36 = 0 \\ {x}^{2} + 12x - 3x - 36 = 0 \\ x(x + 12) - 3(x + 12) = 0 \\ (x + 12)(x - 3) = 0\)

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.

To know more about median visit:

https://brainly.com/question/28060453

#SPJ11

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.

To learn more about Probability visit :

brainly.com/question/13490624

#SPJ4

Answer:

32,29

Step-by-step explanation:

Answer:

(x,y) = (-3,-6)

Step-by-step explanation:

gm gn cgmcgmxgmgnx

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

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.

Find the greatest common factor of 32 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.

Read more on the greatest common factor:

https://brainly.com/question/219464

#SPJ1

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!

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

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!

Answer:

c is the answer of that questoion

Answer:

its would be (b)

Step-by-step explanation:

im sry if im wrong

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).
To know more about explicit formula visit:

https://brainly.com/question/18069156

#SPJ11

None of the options are commutative for the given binary operations.

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.

To know more about the commutative property, here

https://brainly.com/question/2542910

#SPJ4

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).

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).

To learn more about the Algebra link is given below.

brainly.com/question/953809

#SPJ6

Answer:

It's a dog of an animal is a poodle.

Step-by-step explanation:

You switch the order of the statement.

Answer:

The last one, and the second one

Step-by-step explanation:

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.

To learn more about principal click here:

brainly.com/question/30026819

#SPJ11

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.

Know more about triangle, here:

https://brainly.com/question/2773823

#SPJ11

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..

Answer: this is the answer

Step-by-step explanation: