finding missing measure​

The missing points from the Column is:

Game Free-Throw Percentage:        60  20  60  80

Average Free-Throw Percentage:    70  60  55  56.67

Game       Game           Total              Game                              Average

               Result                               Free-Throw                       Free-Throw

                                                       Percentage                       Percentage

1                8/10              8/10                 80                                  80

2                 6/10            14/20               60                                  70          

3                1/5               15/25                20                                  60        

4                3/5              18/30                60                                  55        

5                8/10             26/40               80                                  56.67                                                          

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The question attached here seems to be incomplete, the complete question is

Fill in the columns with Dmitri's free-throw percentage for each game and his overall free-throw average after each game.

Game       Game Result         Total      Game Free-Throw Percentage    Average Free-Throw Percentage

1                        8/10                        8/10                   80                                                           80

2                        6/10                        14/20                    

3                        1/5                        15/25  

4                        3/5                        18/30  

5                        8/10                       26/40  

Awnser

8 gallons of cans

In this plot, the stem represents the tens digit, and the leaves represent the ones digit. For example, the stem "2" with leaves "2 3 5 8" means that there were four employees who worked between 20 and 29 hours.

To construct a stem-and-leaf plot for the given data, we need to organize the numbers into stems and leaves. The stem represents the tens digit, and the leaf represents the ones digit.

Let's take a look at the data:
30, 25, 12, 46, 31, 5, 22, 28, 8, 32, 23, 41, 39, 44

First, we separate the tens and ones digits for each number. For example, 30 has a stem of 3 and a leaf of 0.

Next, we arrange the stems in ascending order from left to right. The stems in this data set are 0, 1, 2, 3, 4.

Now, we place the leaves next to their respective stems. We can write the leaves in increasing order, but you could also choose to write them in decreasing order or any other order that makes sense to you. For this example, we'll write the leaves in increasing order.

Here's the completed stem-and-leaf plot:

0 | 5
1 | 2
2 | 2 3 5 8
3 | 0 1 2 9
4 | 1 4

In this plot, the stem represents the tens digit, and the leaves represent the ones digit. For example, the stem "2" with leaves "2 3 5 8" means that there were four employees who worked between 20 and 29 hours.

The stem-and-leaf plot provides a visual representation of the data, making it easier to identify patterns, ranges, and frequencies.

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Answer: \(x=0\text{ and }x=e^4\)

Step-by-step explanation:

Given function: \(f(x) = \ln(4 - \ln(x))\)

Since, \(\ln 0=\infty\)

Here, if

\(f(x)\to \infty\\\Rightarrow\ 4-\ln x=0\Rightarrow\ln x=4\Rightarrow\ x=e^4\\\text{OR}\ln x=\infty\Rightarrow\ x=0\)

Hence, the vertical asymptotes of f(x) are:

\(x=0\text{ and }x=e^4\).

Using it's concept, it is found that the vertical asymptotes of the function are: \(\mathbf{x = 0, x = e^4}\)

A vertical asymptote of a function f(x) are the values of x for which the function is outside it's domain.

For the ln function, that is, \(\ln{g(x)}\), they are the values of x for which:

\(g(x) = 0\)

In this problem, the function is:

\(f(x) = \ln{(4 - \ln{(x)})}\)

For the inner function, x = 0 is a vertical asymptote, as \(\ln{0}\) is outside the domain.

For the outer function:

\(4 - \ln{(x)} = 0\)

\(\ln{(x)} = 4\)

\(e^{\ln{(x)}} = e^4\)

\(x = e^4\)

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Answer:

x = 2

Step-by-step explanation:

6/3 = 2

Answer:

A box and whisker plot is a method of displaying variation in a set of data.

Minimum value: The smallest value in the data set

Second quartile: The value below which the lower 25% of the data are contained

Median value: The middle number in a range of numbers

Third quartile: The value above which the upper 25% of the data are contained

Maximum value: The largest value in the data set

Answer:

you have to put them in order

The partial fraction decomposition of 40x^2 - 4 can be written in the form of (10/x) - (10/(x^2/10 + 2)).

To find the partial fraction decomposition, we need to factorize the given expression. First, we can take out a common factor of 4 from both terms, which gives us:

40x^2 - 4 = 4(10x^2 - 1)

We can then factorize the expression inside the brackets using the identity a^2 - b^2 = (a + b)(a - b), where a = sqrt(10)x and b = 1/sqrt(10):

10x^2 - 1 = (sqrt(10)x)^2 - 1^2 = (sqrt(10)x + 1)(sqrt(10)x - 1)

Substituting this back into our original expression, we get:

40x^2 - 4 = 4(10x^2 - 1) = 4(sqrt(10)x + 1)(sqrt(10)x - 1)

Now, we can use the method of partial fractions to write this expression in the given form. We assume that the decomposition has the form:

40x^2 - 4 = A/x + B/(x^2/10 + 2)

Multiplying both sides by the denominator and simplifying, we get:

4(sqrt(10)x + 1)(sqrt(10)x - 1) = Ax^2/10 + 2A + Bx

We can solve for A and B by equating coefficients of like terms on both sides of the equation. First, we let x = 0, which gives us:

4 = 2A

A = 2

Next, we let x^2/10 + 2 = 0, which gives us:

sqrt(10)x = +/- sqrt(20)i

where i is the imaginary unit. Substituting x = sqrt(20)i/sqrt(10) into the equation and simplifying, we get:

-8 = -2A

A = 4

Finally, equating coefficients of x on both sides, we get:

4sqrt(10)B = 0

B = 0

Therefore, the partial fraction decomposition is:

40x^2 - 4 = (10/x) - (10/(x^2/10 + 2))

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let's check each one of the options:

(A) is not equivalent

(B) is not equivalent

(C) is not equivalent

(D) it is equivalent to the given equation because

we divide in both sides of the equality by 3 and obtain:

then:

Answer:

B

Step-by-step explanation:

Jane runs around the perimeter of the garden. the formula for a rectangle is 2(L+W)

since she runs around the perimeter 4 times, the total distance would be 4 times the perimeter

4 * 2(L + W) = 8(L + W)

Answer:

53°

Step-by-step explanation:

ΔABC is a right triangle (one of the angles is 90°).

You can use SOH-CAH-TOA to find an angle:

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

In this case, we want to find ∠A.  We know the lengths of the opposite side and the hypotenuse.  Therefore, we should use sine.

sin A = 12 / 15

m∠A = sin⁻¹(12/15)

m∠A ≈ 53°

Alternatively, you could use Pythagorean theorem to find the third side, then use either cosine or tangent to find m∠A.

Answer:

53

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

Answer: 6/18 or 0.3

Step-by-step explanation:

If t = 1/6, then you’d multiply that by 1/3. Always remember that you multiply the variable by its coefficient.

(1/3 x 1/6) + 5/18.

1/3 x 1/6 = 1/18 or 0.5

1/18 + 5/18 = 6/18 or 0.3

\((-1,\infty)\cap (-2,2) ---- > (-1,2)\)

Generally, the equation for the function is mathematically given as

f(x) = -5x + 11 + 10

Therefore

When x >= -1, the function decreases because f(x) = -5(x+1)+10.

This means that the function is dropping throughout this range\((-1,\infty).\)

b)

A look at the graph reveals a decreasing trend in the function over the timeframe (-2,2).

In conclusion, The number line will represent

Using the point where the intervals with decreasing functions overlap

\((-1,\infty)\cap (-2,2) ---- > (-1,2)\)

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Answer:

see photos

Step-by-step explanation:

Plato/Edmentum

There are 13! x 4 possible sequences where all cards of the same suit are together, and 13! possible sequences where all the clubs are together.

A standard deck of 52 cards contains 4 suits: spades, hearts, diamonds, and clubs.

(a) To find how many sequences have all cards of the same suit together, we need to find the number of sequences where all the cards of the same suit are together.

There are 4 possible suits, and each suit contains 13 cards.

So, the number of sequences where all the cards of the same suit are together is 13! x 4.

(b) To find how many sequences have all the clubs together, we need to find the number of sequences where all the clubs are together.

There are 13 clubs, and each club card can be placed in any order.

So, the number of sequences where all the clubs are together is 13!

Therefore, there are 13! x 4 possible sequences where all cards of the same suit are together, and 13! possible sequences where all the clubs are together.

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Answer:

3.935 x 10^5.

Step-by-step explanation:

There are five digits after the first 3 so  it will be 10^5.

The answer is 3.935 x 10^5.

393500 equals 3.935×10⁵

If we write xⁿ then we mean to say that x is multiplied n times.

The exponent of a number says how many times the number is multiplied by itself.

393500=3.935×100,000=3.935×10⁵

Hence, 393500=3.935×10⁵

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Answer:

Step-by-step explanation:

Use the distance formula:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\) For us that will look like this:

\(d=\sqrt{(6-(-3))^2+(-2-4)^2}\) which simplifies to

\(d=\sqrt{(9)^2+(-6)^2}\) and a bit more to

\(d=\sqrt{81+36}\) so

\(d=\sqrt{117}\)

Answer:

for less than 1 angle should be 0 degrees < angle < 45 degrees

hope this helps :)

Answer:

A tangent ratio can be less than 1

Step-by-step explanation:

Answer:

906 will make the game faster but not equal

Step-by-step explanation: 89/8 is the eqaul part

A. The marginal utility of consumption (MUc) of increasing consumption from c=4 to c=5 is 10.

B. The marginal utility of consumption (MUc) of increasing consumption from c=5 to c=6 is 12.

The utility function given is u(c,l) = c² + l², where c represents consumption and l represents leisure. To find the marginal utility of consumption (MUc), we need to take the derivative of the utility function with respect to c.

Taking the derivative of u(c,l) with respect to c, we get:

∂u/∂c = 2c

A. To find the MUc of increasing consumption from c=4 to c=5, we substitute c=4 into the derivative:

MUc = 2(4) = 8

B. To find the MUc of increasing consumption from c=5 to c=6, we substitute c=5 into the derivative:

MUc = 2(5) = 10

Therefore, the MUc of increasing consumption from c=4 to c=5 is 8, and the MUc of increasing consumption from c=5 to c=6 is 10.

The concept of utility function is fundamental in economics and represents an individual's preferences over different combinations of goods and services. Marginal utility measures the change in satisfaction or utility resulting from a one-unit increase in the consumption of a particular good or service, holding other factors constant. It helps in understanding how consumers make choices based on their preferences and the additional satisfaction they derive from consuming more of a particular good or service.

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The minimum area of a poster that will contain 50 square inches of printed material and have 4-inch margins on the top and bottom and 2-inch margins on the left and right is 98 square inches.

To determine the minimum area of the poster, we need to consider the dimensions of the printed material and the margins. The printed material covers an area of 50 square inches. The margins on the top and bottom are each 4 inches, which means we need to add 8 inches to the height of the printed material. The margins on the left and right are each 2 inches, which means we need to add 4 inches to the width of the printed material.
To determine the minimum area of the poster, follow these steps:

1. Add the top and bottom margins to the height of the printed material:
  Height = Printed Height + Top Margin + Bottom Margin
  Height = 50 square inches (assuming printed material height is 1 inch) + 4 inches + 4 inches
  Height = 9 inches

2. Add the left and right margins to the width of the printed material:
  Width = Printed Width + Left Margin + Right Margin
  Width = 50 square inches / 1 inch (since printed material height is 1 inch) + 2 inches + 2 inches
  Width = 54 inches

So, the total height of the poster is the height of the printed material plus the top and bottom margins, which is 50/width + 8 inches. The total width of the poster is the width of the printed material plus the left and right margins, which is 50/height + 4 inches.
Therefore, the minimum area of the poster is 7 x 14 = 98 square inches.

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Answer:

5x-15+4=18

technically there's only one answer because you do parentheses first but if you did do parentheses first then the other answer could be

5(x-3)=14

Answer:

n=-6/4

Step-by-step explanation:

4n+40=34

4n=34-40

4n=-6

n=-6/4

Answer:

Its D on edge because yes im 100% right

The least squares method minimizes the sum of the squared differences between the observed data points and the predicted values.

The least squares method is a mathematical technique used to find the best fit line or curve for a set of data points. It is commonly used in regression analysis to determine the relationship between two variables.

The method works by minimizing the sum of the squared differences between the observed data points and the predicted values from the line or curve. This sum is known as the residual sum of squares (RSS) or the sum of squared residuals (SSR).

The least squares method aims to find the line or curve that minimizes this sum, meaning it minimizes the overall error between the observed data and the predicted values. By minimizing the sum of squared differences, the method finds the line or curve that best represents the data.

In other words, the least squares method seeks to find the line or curve that provides the best balance between fitting the data closely and avoiding extreme deviations from the data points.

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The least squares method for determining the best fit minimizes the sum of the squared differences between the observed data points and the corresponding values predicted by the mathematical model or regression line.

In other words, it aims to minimize the sum of the squared residuals, where the residual is the difference between the observed data point and the predicted value. By minimizing the sum of squared residuals, the least squares method finds the line or curve that best fits the data by minimizing the overall error between the predicted values and the actual data.

Mathematically, the least squares method minimizes the objective function:

E = Σ(yᵢ - ŷᵢ)²

where yᵢ is the observed value, ŷᵢ is the predicted value, and the summation Σ is taken over all data points. The goal is to find the values of the parameters in the mathematical model that minimize this objective function, usually by differentiating it with respect to the parameters and setting the derivatives equal to zero.

By minimizing the sum of squared differences, the least squares method provides a way to estimate the parameters of a mathematical model that best represents the relationship between the independent and dependent variables in a data set.

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The formula for the n-th term is:

aₙ = 3*(1/2)⁽ⁿ⁻¹⁾

For a geometric sequence where the first term is a₁ and the common ratio is r, the formula for the n-th term is:

aₙ = a₁*(r)⁽ⁿ⁻¹⁾

Here we know that the first term is a₁ = 3 and the common ratio is r = 1/2.

Then the formula for the n-th term of the sequence is:

aₙ = 3*(1/2)⁽ⁿ⁻¹⁾

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Based on the given clues, we can determine the person, drink, and price paid for each individual:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

From clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.

From clue 2, Kelli paid $6.99.

From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.

From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.

Therefore, the final assignments are:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

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Answer:

C.  Add 15 to both sides

Step-by-step explanation:

Given equation:

99x – 15 = 45

To solve:

Step 1:  Add 15 to both sides:

⇒ 99x – 15 + 15 = 45 + 15

⇒ 99x = 60

Step 2:  Divide both sides by 99:

⇒ 99x ÷ 99 = 60 ÷ 99

⇒ x = 60/99

⇒ x = 20/33

Answer:

Choice C: Add 15 to both sides.

Step-by-step explanation:

Given:

99x – 15 = 45

Aim:

To Find the first step.

Solution:

The first step will be Add 15 to both sides:

Choice C is accurate.

\( \rule{225pt}2pt\)

EXTRA:

Let's solve the equation further.

Then transpose 99 to the RHS:

The angle R corresponds to the angle E.

This comes from the fact that they are alternate interior angles.