The graph shows the cumulative frequency of points earned for a game.

A student claims that the graph shows the player earned more points from Level 2 to Level 4 than from Level 3 to Level 5. Is the student correct?
A) No, the player earned 67 points from Level 2 to Level 4 and 69 points from Level 3 to Level 5.
B) No, the player earned 42 points from Level 2 to Level 4 and 44 points from Level 3 to Level 5
C) Yes, the player earned 67 points from Level 2 to Level 4 and 69 points from Level 3 to Level 5.
D) Yes, the player earned 42 points from Level 2 to Level 4 and 44 points from Level 3 to Level 5.

Answer: 205.031(nearest thousandth)

or 205.03125

Step-by-step explanation:

According to the question the volume of soil in Pedro's planter box is 56 cubic feet (ft³).

Volume is a measure of the amount of space that a three-dimensional object occupies or contains. It is measured in units of cubic centimeters (cm3), cubic meters (m3) or liters. Volume is an important concept in many areas of mathematics, including geometry, calculus and physics. It is also a key concept in many other disciplines, including engineering, architecture and the sciences. Volume is an important property of a solid object, and it is often used to quantify the size or capacity of an object. Volume can be calculated by multiplying the length, width and height of an object. It can also be calculated using the formula for the volume of a cylinder, cone, sphere or other shapes.

To calculate this, we need to multiply the length of the planter box (7 ft) by the width (4 ft) by the height of the soil (2 ft). This gives us the following equation: 7 ft x 4 ft x 2 ft
= 56 ft³.

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The answers to both the subparts using the confidence interval are shown:
(A) His population's mean finishing time for the 100-meter event has a 99% confidence interval of (12.8081,15.5919).

(B) The right choice is Option B, which is Option II which is narrower.

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval.

Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.

The 95% confidence level is the most popular, however other levels, such as 90% or 99%, are occasionally used when computing confidence intervals.

So, let X represent the amount of time (in seconds) needed to complete a 100-meter race with Tom.

His population's mean 100-meter race finishing time falls within a 99% confidence interval of 12.8081 and 15.5919.

x = 14.2

s²= 0.9867

s= 0.9933

t α2, n-1 = 3.7074

The margin of error= 1.3919

lower bound= 12.8081

upper bound= 15.5919

Therefore, the answers to both the subparts using the confidence interval are shown:
(A) His population's mean finishing time for the 100-meter event has a 99% confidence interval of (12.8081,15.5919).

(B) The right choice is Option B, which is Option II which is narrower.

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Correct question:

Tom is preparing for a 100 meters race competition. During his practice last week, a sample of seven 100

meters races is reviewed, and the finishing times (in seconds) were as below:

13.4

15.6

13.1

14.5

14.2

13.3

15.3

It is reasonable to assume his finishing times are normally distributed.

(a) Construct a 99% confidence interval estimate of his population mean finishing time of 100 meters race.

(b) If the confidence interval estimate of his population mean finishing time of 100 meters is constructed at 95% instead of 99%, would the new confidence interval be (I) wider, (II) narrower, or (III) the same as the interval constructed at part (a)? (Just state your answer, no calculation is needed in part (b))

Stop using brainly. This whole website has became a big money grab over the last few months and they will remove all your posts and answers unless you pay them money. I've had it happen several times now.

We have to find the Taylor Polynomial of $f(x)=e^x$ up to the third degree, centered at $x=0$.

The Taylor Polynomial is given by:

(x)=∑

k=0

n

​k!

f

(k)

(a)

​(x−a)

k

where $f^{(k)}(a)$ is the $k$th derivative of $f(x)$ evaluated at $a$.

Using this formula, we can find the Taylor Polynomial as follows:

\begin{align*}

f(x) &= e^x \

f'(x) &= e^x \

f''(x) &= e^x \

f'''(x) &= e^x \

\end{align*}

Evaluating each derivative at $x=0$, we get:

\begin{align*}

f(0) &= e^0 = 1 \

f'(0) &= e^0 = 1 \

f''(0) &= e^0 = 1 \

f'''(0) &= e^0 = 1 \

\end{align*}

Substituting these values into the formula for the Taylor Polynomial, we get:

\begin{align*}

P_3(x) &= \frac{f(0)}{0!}(x-0)^0 + \frac{f'(0)}{1!}(x-0)^1 + \frac{f''(0)}{2!}(x-0)^2 + \frac{f'''(0)}{3!}(x-0)^3 \

&= 1 + x + \frac{x^2}{2} + \frac{x^3}{6}

\end{align*}

Therefore, the Taylor Polynomial of $f(x)=e^x$ up to the third degree, centered at $x=0$, is $P_3(x) = 1 + x + \frac{x^2}{2} + \frac{x^3}{6}$.

Answer:

5.  x = 60

6.  F' (1, 4)

Step-by-step explanation:

5.  The angles shown are same side exterior angles, so they are supplementary (add to 180)

(x + 85) + 35 = 180

x + 120 = 180

x = 180 - 120 = 60

x = 60

6.  The line x = 1 is a vertical line, passing through the x=axis at (1, 0).  All x coordinates on this line equal 1.

The point F (3,4) is reflected in the line x = 1 at the point F' (1, 4)

The answer of the given question based on the fraction is ,  a value that is greater than 1/2.

A fraction is mathematical expression that represents part of  whole or ratio between the two numbers. It is expressed in the form of a ratio of two integers, with a numerator and a denominator separated by a horizontal or slanted line called a fraction bar.

Fractions that are closer to 1 than to 0 have a value that is greater than 1/2. This is because 1/2 is exactly halfway between 0 and 1 on the number line.

So, any fraction that has a numerator greater than its denominator is closer to 1 than to 0. For example:

2/3 is closer to 1 than to 0 because it is greater than 1/2

7/8 is closer to 1 than to 0 because it is greater than 1/2

3/4 is closer to 1 than to 0 because it is greater than 1/2

On the other hand, fractions that have a value less than 1/2 are closer to 0 than to 1. For example:

1/4 is closer to 0 than to 1 because it is less than 1/2

3/10 is closer to 0 than to 1 because it is less than 1/2

2/5 is closer to 0 than to 1 because it is less than 1/2

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Answer:

6 years = $22,536.50

12 years = $25,394.69

18 years = $28,615.38

Step-by-step explanation:

The find the value of the investment after the given number of years, first create an equation for A in terms of t using the compound interest formula.

[tex]\boxed{\sf A=P\left(1+\frac{r}{n}\right)^{nt}}[/tex]

where:

Given values:

Substitute the given values into the formula to create an equation for the value of the investment, A, in terms of time in years, t:

[tex]\implies \sf A=20000\left(1+\dfrac{0.02}{2}\right)^{2t}[/tex]

[tex]\implies \sf A=20000\left(1+0.01\right)^{2t}[/tex]

[tex]\implies \sf A=20000\left(1.01\right)^{2t}[/tex]

[tex]\hrulefill[/tex]

To find the value of the investment after 6 years, substitute t = 6 into the equation:

[tex]\implies \sf A=20000\left(1.01\right)^{2\cdot 6}[/tex]

[tex]\implies \sf A=20000\left(1.01\right)^{12}[/tex]

[tex]\implies \sf A=20000(1.12682503...)[/tex]

[tex]\implies \sf A=22536.5006026...[/tex]

Therefore, the value of the investment after 6 years is $22,536.50 rounded to the nearest cent.

[tex]\hrulefill[/tex]

To find the value of the investment after 12 years, substitute t = 12 into the equation:

[tex]\implies \sf A=20000\left(1.01\right)^{2 \cdot 12}[/tex]

[tex]\implies \sf A=20000\left(1.01\right)^{24}[/tex]

[tex]\implies \sf A=20000\left(1.2697346...\right)[/tex]

[tex]\implies \sf A=25394.69297...[/tex]

Therefore, the value of the investment after 12 years is $25,394.69 rounded to the nearest cent.

[tex]\hrulefill[/tex]

To find the value of the investment after 18 years, substitute t = 18 into the equation:

[tex]\implies \sf A=20000\left(1.01\right)^{2\cdot 18}[/tex]

[tex]\implies \sf A=20000\left(1.01\right)^{36}[/tex]

[tex]\implies \sf A=20000\left(1.43076878...\right)[/tex]

[tex]\implies \sf A=28615.37567...[/tex]

Therefore, the value of the investment after 18 years is $28,615.38 rounded to the nearest cent.

Answer: 337.5.

Step-by-step explanation:

Answer:

337.5

Step-by-step explanation:

Answer: $18.6

Step-by-step explanation: If we take a look at the sale off the shoes cost which is $43.4 and look at the sale amount (30%) which is 18 dollars and 60 cents the answer is: 18.6 or $18.6 off

Becky would have to invest 43,478 to be able to take the 200,000. The solution has been obtained by using the simple interest.

What is simple interest?

Simple interest is the cost of borrowing that is determined by utilising only the original principle and a constant interest rate.

We are given the following information:

Amount = 200,000

Interest rate = 9%

Time = 40 years

Let the principal be x.

So, we get

⇒ Amount = Principal + Interest

⇒ 200,000 = x + (9% of x) * 40

⇒ 200,000 = x + 0.09x * 40

⇒ 200,000 = x + 3.6x

⇒ 200,000 = 4.6x

⇒ x = 43,478

Hence, Becky would have to invest 43,478 to be able to take the 200,000.

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Answer:

-3x² +7x - 18

Step-by-step explanation:

Subtraction of expression:

   Multiply each term of 5x² - x + 7 by (-1)

2x² + 6x - 11 - (5x² - x + 7) = 2x² + 6x - 11 - 5x² + x - 7

Combine like terms. Like terms have same variable with same exponent.

2x² and (-5x²) are like terms. 2x² - 5x² = -3x²

6x and x are like terms. 6x + x = 7x

-11 and (-7) are constants. -11 - 7= -18

                                         = 2x² - 5x² + 6x + x - 11 - 7

                                         = -3x² + 7x - 18

The weight of the diamonds in each lot was 1/10 of a pound, or 0.1 pound.

What is arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term. For example, the sequence 2, 5, 8, 11, 14, ... is an arithmetic sequence with a common difference of 3, since each term after the first is found by adding 3 to the preceding term.

The nth term of an arithmetic sequence can be found using the formula:

an = a1 + (n-1)d.

The merchant received 7/10 of a pound of diamonds and divided them into 7 equal lots. To find the weight of each lot, we need to divide 7/10 by 7:

(7/10) ÷ 7 = (7/10) × (1/7) = 1/10

Therefore, the weight of the diamonds in each lot was 1/10 of a pound, or 0.1 pound.

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We can classify the polynomial as a "trinomial" with a degree of 3.

The given polynomial is:

9x^3 + 4x^2 - 7

The degree of a polynomial is the highest power of the variable present in the polynomial. In this case, the degree of the polynomial is 3, because the highest power of x in the polynomial is 3.

The number of terms in a polynomial is the number of individual expressions added or subtracted together. In this case, the polynomial has three terms: 9x^3, 4x^2, and -7.

Therefore, we can classify the polynomial as a "trinomial" with a degree of 3.

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Answer:

Estimated difference: 88 - 6 = 82

Actual difference: 87.71 - 5.8 = 81.91

The area of a figure in the shape of a parallelogram is 74.4 m2 . If the height of the parallelogram is 6 m, the length of the parallelogram is 12.4 meters.

A parallelogram is a four-sided plane figure with opposite sides parallel and equal in length. It is a special type of quadrilateral, which is a polygon with four sides.

The opposite sides of a parallelogram are parallel, which means they have the same slope and never intersect. The opposite sides are also equal in length, which means they have the same distance between them.

The adjacent angles of a parallelogram are supplementary, which means they add up to 180 degrees. This property is known as the parallelogram law, which states that the sum of the squares of the diagonals of a parallelogram equals the sum of the squares of its sides.

The area of a parallelogram can be calculated by multiplying the base by the height. The base is one of the parallel sides, and the height is the perpendicular distance between the base and the opposite side.

The area (A) of a parallelogram is given by the formula:

A = base x height

where the base is the length of one of the sides of the parallelogram and the height is the perpendicular distance between the base and the opposite side.

In this problem, we are given the area of the parallelogram as 74.4 m² and the height as 6 m. Let the length of the parallelogram be denoted by b. Then, we can use the formula for the area of a parallelogram to write:

74.4 m² = b x 6 m

Solving for b, we get:

b = 74.4 m² / 6 m

b = 12.4 m

Therefore, the length of the parallelogram is 12.4 meters.

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Answer:

24

Step-by-step explanation:

The formula for area of any triangle is (length * width) * 1/2. This makes the angle of 90 degrees irrelevant.

6 x 8 = 48

48 / 2 = 24

Jackson's total cost after the discount and before tax would be $24.67.

When a store offers a discount, it reduces the price of the item by a certain percentage. In this case, Jackson has a loyalty card that gives him a 10% discount on his purchase.

To calculate the price after the discount, we multiply the original price by 1 minus the discount percentage (in decimal form).

Here we have

Jackson has a 10% discount at his local hardware store.

Let 'x' be the cost before tax

After a 10% discount,

The amount that Jackson could pay 90% of the cost

Given that he wants to buy $ 27.40  

The cost of items after discount = 90% of 27.40

= [ 90/100 ] × 27.40

= [ 0.9 ] × 27.40

= 24.66

Therefore,

Jackson's total cost after the discount and before tax would be $24.67.

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Answer: $9.66

Step-by-step explanation: perimeter = 345mm + 345mm + 345mm + 345mm = 1380

We need 1380 millimeters which is equivalent to 1.38 meters.

We can multiply the number of meters by the cost of meters to find the total

Answer: 34

Step-by-step explanation:

To find 8% of 425 coins, multiply 425 by 0.08 (which is the decimal equivalent of 8%).

425 * 0.08 = 34

So, 8% of 425 coins is 34 coins.

The median of the data set is: 95.5

What is median?

median is the number at the middle of the given data.

To find the median of the data set {102, 74, 86, 74, 96, 95, 103, 102}, we first need to arrange the values in order from lowest to highest:

74, 74, 86, 95, 96, 102, 102, 103

Since the data set has an even number of values, the median is the mean of the two middle values. In this case, the two middle values are 95 and 96.

Therefore, the median of the data set is: (95 + 96) / 2 = 95.5

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After calculation, we can conclude that the required angle x is 56° respectively.

A pair of rays (half-lines) with a shared terminal are combined to form an angle.

The latter is referred to as the angle's vertex, and the rays are sometimes referred to as the angle's legs and other times as its arms.

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively.

Angles created by two rays are in the plane where the rays are located.

So, we can calculate inner angle A because it will result in a 180o angle.

180º - 116º = 64º = Angle A

Now multiply angle A by angle C.

64º + 60º = 124º

Take it away from 180°.

180º - 124º = 56º

Consequently, angle X is measured at 56°.

Therefore, after calculation, we can conclude that the required angle x is 56° respectively.

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By using synthetic substitution on f(x)=x²-9x+5, f(x) = -13. Hence option C is the correct answer.

Synthetic substitution is a method used to evaluate a polynomial function for a specific value of the independent variable. This method involves setting up a table with the coefficients of the polynomial and the value we are substituting. Then, we use synthetic division to perform the substitution and find the corresponding value of the function.

1) To use synthetic substitution, we first write the coefficients of the polynomial in descending order of their powers.

2) Next, we set up a table with the coefficients and the value we are substituting, which is typically denoted by a vertical line.

3) Then, we use synthetic division to perform the substitution. To do this, we bring down the first coefficient, multiply it by the substitution value, and write the result underneath the next coefficient. We then add this result to the next coefficient, and repeat the process until we reach the last coefficient. The final value is the result of the substitution, which is the value of the function for the given argument.

To use synthetic substitution, we first set up a table with the coefficients of the polynomial f(x) and the value we are substituting, which is 3 in this case:

x \ f(x)        1         -9        5

3  

Then, we bring down the first coefficient, which is 1, and multiply it by the substitution value, 3, to get 3. We write this value underneath the second coefficient:

x \ f(x)        1         -9        5

3           3

Next, we add the 3 and the -9 to get -6, and multiply this value by the substitution value, 3, to get -18. We write this value underneath the third coefficient:

x \ f(x)        1         -9        5

3           3            -6

Finally, we add the -18 and the 5 to get -13, which is the value of f(3):

x \ f(x)        1         -9        5

3           3            -6          -13

Therefore, f(3) = -13.

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The absolute value equation is:

|x - 15| = 0

We want an absolute value equation that only has the solution x = 15.

So we must have something equal to zero (so we avoid the problem with the signs that we can have with other numbers)

So the equation will be something like:

|x - a| = 0

And the solution is 15, so:

|15 - a | = 0

then a = 15

The equation is:

|x - 15| = 0

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Answer: 22

Step-by-step explanation:

The formula for perimeter of a rectangle is side 1 + side 1 + side 2 + side 2. Side one is 16. This means that 16x2 is 32. Then, you realize there are 44 meters remaining. 44/2=22. The other side is 22.

Answer:

7 and 31 it asks

the 3rd and 6th is

The 1st and 2nd terms of this Fibonacci sequence, given the 3rd and 6th terms would be 2 and 5.

Let's denote the first and second terms of the Fibonacci sequence as F1 and F2. The Fibonacci sequence is defined by the recurrence relation:

F(n) = F(n-1) + F(n-2)

We are given that the 3rd term (F3) is 7 and the 6th term (F6) is 31. We can use this information to set up the following equations:

F3 = F2 + F1 = 7

F6 = F5 + F4 = 31

We can also express F4 and F5 in terms of F1 and F2:

F4 = F3 + F2 = (F2 + F1) + F2 = F1 + 2F2

F5 = F4 + F3 = (F1 + 2F2) + (F2 + F1) = 2F1 + 3F2

Now, let's substitute equation (4) into equation (2):

F6 = 2F1 + 3F2 + F1 + 2F2 = 31

3F1 + 5F2 = 31

By trial and error, we can find the possible values for F1 and F2 that satisfy this equation:

F1 = 1, F2 = 6: 3(1) + 5(6) = 3 + 30 = 33 (not a solution)

F1 = 2, F2 = 5: 3(2) + 5(5) = 6 + 25 = 31 (solution)

The solution is F1 = 2 and F2 = 5, so the first two terms of the Fibonacci sequence are 2 and 5.

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g(x) is decreasing function on the interval (-4/5, 0).

Calculus is a branch of mathematics that deals with the study of rates of change and the accumulation of small changes to find the overall effect. It provides a framework for modeling and analyzing a wide range of phenomena, from the motion of objects to the behavior of complex systems.

Calculus is divided into two main branches: differential calculus and integral calculus. Differential calculus deals with the study of rates of change, slopes of curves, and the computation of derivatives. Integral calculus deals with the study of accumulation of small changes, computation of areas, and the computation of integrals.

To determine where g(x) is decreasing, we need to find where its derivative is negative.

The derivative of g(x) is:

g'(x) = 5x⁴ + 4x³

To find where g'(x) < 0, we can factor out a common term of x³ to get:

g'(x) = x³(5x + 4)

So, g'(x) < 0 when:

x³ < 0 and 5x + 4 < 0

This condition is not possible, as x³ is never negative.

x³ > 0 and 5x + 4 < 0

This condition is satisfied when -4/5 < x < 0.

Therefore, g(x) is decreasing function on the interval (-4/5, 0).

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Therefore, the first Leap year after 2000 that the number of deer reaches 150 is 2000.1, or 2000 and 1/10 of a year.

If you sum up all the days on a calendar from January to December, there are 365 in a regular year. But about every four years, February has 29 days rather than 28. Therefore, a year has 366 days. There is a term for it: a leap year.

We must find x in the equation D=150 in order to determine the year that the number of deer exceeds 150 for the first time after 2000.

150=200+100sin(2πx)

Subtracting 200 from both sides, we get:

-50 = 100sin(2πx)

Dividing both sides by 100, we get:

-0.5 = sin(2πx)

To find the value of x that satisfies this equation, we can take the inverse sine of both sides:

sin⁻¹(-0.5) = 2πx

Using a calculator, we find that sin⁻¹(-0.5) = -π/6.

-π/6 = 2πx

Solving for x, we get:

x = -1/12

Since x is the number of years since 2000, we need to add 1/12 to find the first year after 2000 that the number of deer reaches 150:

2000 + 1/12 ≈ 2000.1

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