I need help with this chapter 13 statistics problem! Can someone find the answer and/or show me how to solve for it

Answer: E

Step-by-step explanation:

Answer/ explanation:

3a + 4

a + b

The equation of the regression line is y = 4 + x and the regression analysis of the given data need not be done.

Straight line equation is y = a + bx.

The normal equations are

∑y = a·n + b ∑x ∑ xy = a ∑x + b∑x² Hence the regression analysis of the data :

The values are calculated using the following table

x y x²             x⋅y

58 62 3364 3596

47 51 2209 2397

84 88 7056 7392

62 66 3844 4092

57 61 3249 3477

72 76 5184 5472

69 73 4761 5037

hence :

∑x = 449

∑y = 477

∑x² = 29667

∑x⋅y = 31463

Substituting these values in the normal equations

7a+449b=477

449a+29667b=31463

Solving these two equations using Elimination method,

7a+449b=477

and 449a+29667b=31463

7a+449b=477→(1)

449a+29667b=31463→(2)

equation(1)×449

⇒3143a+201601b=214173

equation(2)×7

⇒3143a+207669b=220241

Substracting

⇒-6068b = -6068

⇒6068b = 6068

⇒b = 1

Putting b = 1 in equation (1), we have

7a+449(1) = 477

⇒7a = 477  - 449

⇒7a = 28 or a  = 4.

Now Estimate y for x=50

y = a + bx , we get

y = 4 + 1×50

y = 4 + 50

y = 54

At x equals 50 we get the value of y as 54 .

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\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$45700\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &2 \end{cases}\)

\(A = 45700\left(1+\frac{0.12}{4}\right)^{4\cdot 2}\implies A=45700(1.03)^8 \implies A \approx 57891.39 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{earned interest}}{57891.39~~ - ~~45700} ~~ \approx ~~ \text{\LARGE 12191.39}\)

When going to the movies and we pay the ticket, most of the times (if we pay in cash) we will receive change for the bill we use.

For example, if the ticket costs $7 and we pay with $10, we will receive 10-7 = $3 as change.

We then have used math to know that the change we receive is correct.

Answer:

-8 + 19 = 11ºF

Step-by-step explanation:

Explanation:

We have y = f(x) where x is the input and y is the output.

Any point is of the form (x,y)

Writing f(-2) means x = -2 is plugged into f(x), which results in an output of -4 because f(-2) = -4.

So we have (x,y) turn into (-2, -4)

Answer:

okay i'll keep this in mind

Step-by-step explanation:

Answer:

\(3 \frac{11}{27} \\ \)

Step-by-step explanation:

\((2a - \frac{1}{3} ) \div \frac{b}{15} \\ (2 \times - \frac{3}{5} - \frac{1}{3} ) \div \frac{ - 6.75}{15} \\ ( - \frac{6}{5} - \frac{1}{3} ) \div \frac{ - 6.75}{15} \\ ( - \frac{6 \times 3}{5 \times 3} - \frac{1 \times 5}{3 \times 5} ) \div \frac{ - 6.75}{15} \\ ( \frac{ - 18 - 5}{15} ) \div \frac{ - 6.75}{15} \\ - \frac{23}{15} \div \frac{ - 6.75}{15} \\ - \frac{23}{15} \times - \frac{15}{6.75} \\ \frac{23}{6.75} \\ \frac{23 \times 100}{6.75 \times 100} \\ \frac{2300}{675} = 3 \frac{11}{27} \\ \)

Answer:

Step-by-step explanation:

Step-by-step explanation:

4 < x - 1 < 23

4+1 < x -1+1 < 23+1

5 < x < 24

Answer:

d

Step-by-step explanation:

because it asks for up to 30

pls brainliest

Answer:

the answer is D hope that helps

Answer:

A and D are correct. This is a parallelogram, which is a quadrilateral. B is not correct because not all the sides are congruent. C is not correct. E and F are not correct because this parallelogram does not have any right angles.

Center-to-center spacing between the beams is 11.375in

If there are 19 beams then there will be 18 spaces between them.

Let's call the center-to-center spacing "x". Then we can set up the following equation:

18x = 204.75

To solve for x, we can divide both sides by 18:

x = 204.75 / 18

x = 11.375 (to 3 decimal places)

Briefly, a beam is a structural element that is designed to resist loads applied transverse to its longitudinal axis.

Beams are often made of materials like:

Beam comes in various sizes and shape depend on the specific application and the loads that they are designed to support.

Beams are an important component of many types of structures, from buildings and bridges to vehicles and machinery.

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Multiply both sides of the ODE

\(x'+2tx+5t\)

by \(e^{t^2}\):

\(e^{t^2}x'+2te^{t^2}x=5te^{t^2}\)

Now the left side can be condensed as the derivative of a product:

\(\left(e^{t^2}x\right)'=5te^{t^2}\)

Integrate both sides, then solve for x :

\(e^{t^2}x=\dfrac52e^{t^2}+C\)

\(\implies x(t)=\dfrac52+Ce^{-t^2}\)

Given that x(0) = 8, we find

\(8=\dfrac52+Ce^0\implies C=\dfrac{11}2\)

so that the particular solution to this IVP is

\(\boxed{x(t)=\dfrac{5+11e^{-t^2}}2}\)

Answer:

Step-by-step explanation:

40/30=409

Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week \(\sf = 19 \times 40 = \$760\)

Now, according to option b, he will get 8% commission on weekly sales.

Let. x = the amount of weekly sales.

To earn the same amount of option A, he will have to equal the 8% of x to $760

So, \(\sf \dfrac{8x}{100}=760\)

Or, \(\sf 8x= 76000\)

Or, \(\sf x= \dfrac{76000}{8}=9500\)

the salesman needs to make a weekly sales of $9,500 to earn the same amount with two options.

Answer:

slope (m) = 2/3

Step-by-step explanation:

slope = change in x /change in y

Also, slope is y2 - y1 / x2 -x1. That is what I apply for this activity, hence:

slope = 3 - (-1) / 0 - (-6)

         = 3 + 1 / 0 + 6

         = 4 / 6

         = 2/3

∴ slope(m) = 2/3

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

C; Basketball

Step-by-step explanation:

Although Greg Ridley wants to play for the Scorpions when he grows up, he learns along the way that there are things that are more important, hence the use of the term "treasure."

He learns from this that memories, friendships, and family are all that matters and if having to let go of basketball to sustain the aforementioned elements (which may or may not be an easy thing to do), then it is much more of a necessity than a choice.

Hope this helped! :D

The correct answer is Graph 1: y = cos(x/4)Graph 2: y = cos(x/2)

Based on the given descriptions of the graphs and the patterns they follow, the correct pairs are:

Graph 1: y = cos(x/4) ⟶ This graph has a period of 8 units and matches the pattern described.Graph 2: y = cos(x/2) ⟶ This graph has a period of 4 units and matches the pattern described.

Graph 3: y = cos(x) ⟶ This graph has a period of 2π (or approximately 6.28 units) and matches the pattern described.

Graph 4: (Not used)

Graph 5: (Not used)

Please note that without visual representation, it's difficult to provide a definitive answer. The pairs are based on the descriptions provided and may vary depending on the actual shapes of the graphs.

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The transformation rule of the given sequence is:  (x,y)→(−x,−y)

There are different types of transformation such as:

Translation

Rotation

Reflection

Dilation

We are told that △RST maps to △R′S′T′ after a sequence of rigid motions.

Since the absolute values of x and y-coordinates are same but the sign of both coordinates are changed. It is possible, if the figure is rotated 180 degree about the origin.

Now, When a figure rotated 180 degree about the origin, then the transformation rule is: (x,y)→(−x,−y)

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The difference in salary will be $71,250.

What is multiplication in mathematics?

Multiplication is a mathematical operation that is used to find the product of two or more numbers. It is usually represented by the symbol "x" or "*", and is often referred to as repeated addition.

Career Preparation and Development (Career SMART Goals) worth 50 points.

Denise Diligence scored 95/100 on all of the assignments and reports, so she earned a total of 47.5 points.

Since each point earned will result in a $1500 increase in salary 20 years from now, Denise's salary will be $1500 x 47.5 = $71,250 higher than Slacker's.

Sam Slacker did not complete any of the career smart goals assignments and reports, so he earned a total of 0 points.

Hence, the difference in salary will be $71,250.

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The x- and y-intercepts of the graph are:

From the question, we have the following parameters that can be used in our computation:

-4x + 2y = 28.

For the x-intercepts, we set y to 0

So, we have

-4x = 28

Evaluate

x = -7

For the y-intercepts, we set x to 0

So, we have

2y = 28

Evaluate

y = 14

Hence, the x- and y-intercepts of the graph are -7 and 14, respectively

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The value for log₂11 is 3.459.

To find the logarithm of 11 base 2, we need to determine the power to which we must raise 2 to obtain the value 11. In other words, we need to solve the equation 2^x = 11 for x.

Finding the exact value of log₂11 can be challenging since 11 is not a power of 2. Therefore, we can approximate the answer using numerical methods.

One way to approach this is by using the bisection method. We start by considering a lower bound and an upper bound for the value of x. Since 2^3 = 8 and 2^4 = 16, we can choose the interval [3, 4] as a starting point.

Next, we evaluate the midpoint of the interval, x = (3 + 4) / 2 = 3.5, and calculate 2^3.5 ≈ 11.314. Since this is larger than 11, we update our upper bound to 3.5.

We repeat the process by evaluating the midpoint of the new interval [3, 3.5], which gives us x = (3 + 3.5) / 2 = 3.25. Calculating 2^3.25 ≈ 10.63, we see that it is smaller than 11. Thus, we update our lower bound to 3.25.

We continue this iterative process, halving the interval each time, until we reach a satisfactory level of precision. After several iterations, we find that the value of x is approximately 3.459.

Therefore, an approximation for log₂11 is 3.459.

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Answer:

1. Mean = 15.33

  Median = 15

  Mode = 12

2. Mean = 84.6

   Median = 84

   Mode = 80, 83, 85

3. Mean = 135

   Median = 125

   Mode = 125

Step-by-step explanation:

Hope it helps:)

I. Mean = Sum of all observations / No. of observations

=> 12 + 12 + 14 + 16 + 18 + 20 / 6

=> 92 / 6

= 15.33333.....

= 15.3

Mode = 12

Because 12 is occurring most frequently.

Median

Step 1 => Arrange the values in ascending order.

Step 2 => Then the middle observation will be the median of the data.

Here we will get 2 numbers as the median but since it is not applicable we will use another method.

12, 12, 14, 16, 18, 20

Find average of 14 and 16

14 + 16 / 2

30 / 2 = 15

Therefore Median of the data is 15.

The answers to other 2 question are there in the image attached.

we have the equation

The domain of any quadratic equation is all real numbers

so

To find out the range, we need the vertex

Convert the given equation into vertex form

Complete the square

The vertex is the point (1,0)

The vertical parabola opens upward (the leading coefficient is positive)

The vertex is a minimum

therefore

All real numbers greater than or equal to zero

Answer:

1 / 27 is the answer

Step-by-step explanation:

3^-3

= 1 / 3^3

= 1 / 27

Answer:

M=3

Step-by-step explanation:

Hope this helps:)

The measure of the angle B of the triangle is 78.15 degrees

From the question, we have the following parameters that can be used in our computation:

A = 25 degrees

a = 9.5 units

b = 22 units

Using the law of sines, the angle B is calculated as

sin(A)/a = sin(B)/b

So, we have

sin(25)/9.5= sin(b)/22

This gives

sin(b) = 22 * sin(25)/9.5

Evaluate

sin(b) = 0.9787

Take the arc sin of both sides

b = 78.15

Hence, the measure of the angle is 78.15 degrees

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i probably think this may be the answer..hope you understand the equation (I don't know what to write more because it says I need 20 letters)

Answer:

1.

Step-by-step explanation:

5-2x=3

First, you need to subtract by 5 on both sides.

Five minus five is 0, so we've cancelled out that (5-5=0.)

Now we need to subtract that from three (3-5=-2)

That leaves us with -2x = -2. To cancel out -2x so we're left with x, we need to divide on both sides.

-2x÷-2=0

-2÷-2= 1

That leaves us with x=1

Hope this helped! :)