Find the equation of the line that contains the point (1,-5) and has a slope that is undefined. Express the equation using either the general form or the slope-intercept form of the equation of a line.
The equation of the line is

California college students who drink according to the centers for disease control and prevention, 60% of all american adults ages 18 to 24 currently drink alcohol. The proportion of drinkers in the population of CA college students is not 0.60.

We can infer the following from the provided information:

The proportion of college students in California who presently drink alcohol is the same as the proportion nationwide (p = 0.60), rejecting the null hypothesis (H0).

Alternative hypothesis (Ha): California college students are more likely to use alcohol than college students nationwide (p 0.60).

The population proportion is represented by the letter "p" in the hypotheses.

We need the sample size and the sample proportion to calculate the standard error and the z-score. According to the poll of 450 college students in California, 66% of them currently consume alcohol, yielding a sample proportion of 0.66.

SE = √(0.66*(1-0.66)/450) ≈ 0.023

z = (0.66 - 0.60) / 0.023 ≈ 2.61

By comparing the p-value to a preset significance level (such as 0.05), the conclusion is arrived at. We reject the null hypothesis if the p-value is less than the significance level. If not, we are unable to rule out the null hypothesis.

The appropriate inferences from the information are:

The percentage of drinkers among college students in California is not 0.60.

The percentage of drinkers in the adult American population (0.60) and the percentage of drinkers among college students in California differ statistically significantly.

Thus, this can be concluded regarding the given scenario.

For more details regarding null hypothesis, visit:

https://brainly.com/question/30821298

#SPJ12

Answer:

Arithmetic

Step-by-step explanation:

The difference between consecutive terms is 5. Thus, this is an arithmetic sequence with a common difference of 5.

See attachment for reply and answer.

Step-by-step explanation:

An=-6+(20-1)×2

=-6+19(2)

=-6+38

=32

Answer:

No.

Step-by-step explanation:

They do not create a triangle because if you follow the expression: a^2+b^2=c^2 it does not equal. Hope I helped :)

Answer:

a^2 + b^2 = c^2  - Pythagorean Theorem

6^2 + 10^2 = 15^2

36 + 100 = 225

136 doesn't equal 225

So, no, the sides lengths don't make a triangle.

A scientist can use bootstrap analysis to estimate the strength of evidence that a particular node in a phylogeny exists.

Bootstrap analysis is a statistical method used to determine the reliability and robustness of phylogenetic trees' topologies. In bootstrap analysis, a series of random resampling with replacement is used to assess how well the observed data fit the phylogenetic hypothesis.

Bootstrap values range from 0 to 100 and reflect the proportion of times that a particular node or branch occurs in the bootstrap replicate trees. Bootstrap values greater than 70% are usually considered strong evidence that a particular node or branch exists in the phylogenetic tree.

Bootstrap analysis is an important tool for understanding the reliability of phylogenetic trees and the evolutionary relationships among organisms.

Learn more about Bootstrap analysis here:

brainly.com/question/30543828

#SPJ11

For tax year 2018, Ben's standard deduction is $12,000. As a single filer, the standard deduction amount he can claim is $12,000.The standard deduction is a fixed amount of money that reduces the amount of income subject to taxation.

A taxpayer can choose to claim the standard deduction or itemize their personal deductions. If the sum of all itemized deductions exceeds the standard deduction, the taxpayer should opt to itemize. If the sum of itemized deductions is less than the standard deduction, the taxpayer should opt to take the standard deduction.A legally blind taxpayer may qualify for a higher standard deduction.

For tax year 2018, the additional standard deduction amount for a taxpayer who is blind is $1,600.

Since Ben is legally blind, his standard deduction amount could have been $12,000 + $1,600 = $13,600 if he had chosen to take the higher standard deduction.

To learn more about deduction visit;

https://brainly.com/question/29756791

#SPJ11

The power series Σ (n=0) [infinity] n is centered at x=0.

The power series Σ(n=0) [infinity] nxⁿ is centered at the point x = 0.What is a power series?A power series is a series of the form Σ(c_n * (x - a)^n), where c_n and a are constants, and x is a variable. Power series are essential mathematical tools that assist in approximating complex functions in terms of simpler functions that can be more easily manipulated. Additionally, they can be employed to solve differential equations and provide insights into complex functions.

What is the center of a power series?The point around which a power series is structured is known as the center of a power series. In other words, the number a is the point around which the power series is built. Consider the power series Σ(c_n * (x - a)^n). When x = a, each of the (x - a)^n terms in the sum is equal to zero, with the exception of n = 0. As a result, we obtain the first term c_0. The power series is also built around the point x = a because of the behavior of the series as we move further away from a. This occurs since when |x - a| is little, each term in the sum becomes smaller as n grows larger, allowing us to approximate the function for small |x - a|. The power series is often used to compute derivatives and integrals of complex functions, which may be done term by term.

Learn more about power series

brainly.com/question/29896893

#SPJ11

Answer:

x = -4.5

Step-by-step explanation:

Given:

0.1x + 0.008 = 0.06x − 0.172

Collect like terms

0.1x - 0.06x = -0.172 - 0.008

0.04x = - 0.18

x = -0.18/0.04

x = -4.5

Check:

0.1x + 0.008 = 0.06x − 0.172

0.1(-4.5) + 0.008 = 0.06(-4.5) - 0.172

- 0.45 + 0.008 = -0.27 - 0.172

-0.442 = -0.442

The scale factor from ABC to DEF is 2/5

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

The triangles

From the triangles, we have the following parameters

Side length of ABC = 40

Corresponding side length of DEF = 16

Using the above as a guide, we have the following:

Scale factor of the dilation = Corresponding side length of DEF / Side length of ABC

So, we have

Scale factor of the dilation = 16/40

Evaluate

Scale factor of the dilation = 2/5

Hence, the scale factor of the dilation is 2/5

Read more about Scale factor at

brainly.com/question/29229124

#SPJ1

Let

x = Trey's savings

x + 27 = Tyler's savings

The sum of their savings is $85, which can be translated to

(x) + (x+27) = 85

Simplify the equation

x + x + 27 = 85

2x + 27 = 85

Answer:

578

Step-by-step explanation:

118

+560

answer:678

678-100=578

The sum of 118 and 560 is the same as adding 100 to 578.

To find the sum of 118 and 560, we can add the hundreds, tens, and ones separately.

Starting with the ones, 8 + 0 = 8.

Then, moving on to the tens, 1 + 6 = 7.

Finally, adding the hundreds, 1 + 5 = 6. Combining these results, we get 678 as the sum.

However, if we add 100 to 578, we get 678, which is the same as the previous result. This happens because when we add 100 to the sum of 118 and 560, we essentially increase the hundreds place by 1 while keeping the tens and ones the same.

The final answer is 578.

To know more about sum:

https://brainly.com/question/31538098?

#SPJ2

The question is incomplete, the complete question is:

The sum of 118 + 560 is the same as 100 + x . Find the value of x.

To find how long each station was originally supposed to last, we can set up an equation based on the given information.

Let's assume that each station was supposed to last for "x" minutes. Since there were 6 stations, the total time for the field day without the fire drill would be 6 times "x", which is 6x minutes.

However, due to the fire drill, they lost 30 minutes, so the total time available for the field day became 90 minutes.

We can set up the equation as follows:

6x - 30 = 90

To solve for "x", we can add 30 to both sides of the equation:

6x = 120

Finally, we can divide both sides by 6 to isolate "x":

x = 20

Therefore, each station was originally supposed to last for 20 minutes.

Learn more about solving equations and problem-solving techniques here:

https://brainly.com/question/20333090

#SPJ11.

Answer:

slope = 6x

Step-by-step explanation:

the formula to find slope between 2 points is "m = (y2 - y1)/(x2-x1)", or "m = rise/run". so when you plug in the numbers, you get "m = (12 - 6)/(2 - 1)", which gives you "m = 6/1", which is just 6x.

Answer:

Slope = 6

Step-by-step explanation:

From the graph we get:

(x1, y1) = (1, 6) and

(x2, y2) = (2, 12)

Slope = (y2 - y1) / (x2 - x1)

= (12 - 6) / (2 - 1)

= 6 / 1

= 6

The fee should the companyfee should the company charge to maximize their revenue charge to maximize their revenue is $7.50.

To determine the fee that the online computer game company should charge to maximize their revenue, we need to calculate the revenue for each fee rate listed in the table below:

| Fee Rate | Number of Subscribers | Revenue |
|----------|----------------------|---------|
| $8.00    | 10,000               | $80,000 |
| $7.75    | 10,500               | $81,375 |
| $7.50    | 11,000               | $82,500 |
| $7.25    | 11,500               | $83,375 |
| $7.00    | 12,000               | $84,000 |
| $6.75    | 12,500               | $84,375 |
| $6.50    | 13,000               | $84,500 |
| $6.25    | 13,500               | $84,375 |
| $6.00    | 14,000               | $84,000 |

From the table, we can see that the revenue initially increases as the fee rate decreases, but then starts to decrease after $7.50. This is because although the number of subscribers increases with a lower fee rate, the decrease in revenue from each individual subscriber outweighs the increase in subscribers.

Therefore, the fee rate that would maximize revenue for the online computer game company is $7.50. This is the fee rate where the revenue is the highest, at $82,500. We know this is the optimal fee rate because any higher fee rate will result in fewer subscribers, and any lower fee rate will result in a decrease in revenue per subscriber.

Learn more about revenue at https://brainly.com/question/4528682

#SPJ11

The conversion factor to convert cm/s to m/min is 3 / 5, it is gained by applying the knowledge of conversion of units to the given problem.

What do you mean by conversion of units?

Conversion of units deals with the method of converting a set of values given in a unit to another unit without changing its numerical value. Conversion can take place in both ways, from lower to higher units and vice-versa.

Calculation of the conversion factor to convert cm/s to m/min

We know that,

1 m = 100 cm

1 min = 60 s

To convert cm/s to m/min, we have

= 18 / (100 / 60)

= (18 × 3) / 5

= 54 / 5

= 10.8 m/min

Hence, the conversion factor used to convert cm/s to m/min is 3 / 5.

To learn more about the conversion of units, visit here:

https://brainly.com/question/97386

#SPJ4

the answer is A because to be honest im writing this so it will show me the right naswer but it should be A

The smallest value of n that guarantees |tn(x)−ln(1−x)|<0.01 for all x in the interval i= − 1 2 , 1 2 is n=1.

The Taylor series expansion of the function ln (1-x) is given as follows:

ln(1−x)=∑n=1∞(xn/n)

For this problem, we can use the Lagrange form of the Taylor remainder, which is shown below:

Rn(x)=f(n+1)(ξ)(x-a)n+1/(n+1)!, Where a=-1/2, n=1, f(x)=ln(1-x), and we need to find the smallest value of n such that

|tn(x)−ln(1−x)|<0.01 for all x in the interval i= − 1 2 , 1 2 .

The first derivative of ln(1-x) is given by:

f(x)=ln(1-x)

f'(x)=-1/(1-x)2

f''(x)=2/(1-x)3

Using the second derivative, we get the maximum possible value of |f''(x)| on the interval as:

|f''(x)|=2/(1-(-1/2))3

=54

Thus, we can simplify the Lagrange form of the Taylor remainder as follows:

|Rn(x)|<=|f(n+1)(ξ)/(n+1)!| |x-(-1/2)|n+1<=54|f(n+1)(ξ)/(n+1)!| |x+1/2|n+1<=54

Therefore, the smallest value of n that guarantees |tn(x)−ln(1−x)|<0.01 for all x in the interval i= − 1 2 , 1 2 is n=1. This value can be determined using the Lagrange form of the Taylor remainder.

We can set the bound for |Rn(x)| to be less than 0.01 and solve for n using the inequality derived from the maximum value of the second derivative of ln(1-x) on the interval.

To know more about the Taylor series, visit:

brainly.com/question/32235538

#SPJ11

For a crosstabs analysis with a row variable of 4 groups and a column variable of 13 groups, the degrees of freedom for this test would be 36.

To determine the degrees of freedom for a crosstabs analysis, we need to consider the number of groups for each variable. The degrees of freedom in this context represent the number of independent pieces of information available for analysis.

In a crosstabs analysis, we create a contingency table that displays the frequency or count of observations falling into each combination of categories for the row and column variables. The table is typically organized in a grid format.

The degrees of freedom for a crosstabs analysis are calculated using the formula:

(df_row - 1) * (df_column - 1)

where df_row represents the degrees of freedom for the row variable and df_column represents the degrees of freedom for the column variable.

In this scenario, the row variable has 4 groups, so df_row = 4 - 1 = 3. Similarly, the column variable has 13 groups, so df_column = 13 - 1 = 12.

Plugging these values into the formula, we get:

(3) * (12) = 36

Therefore, for the given crosstabs analysis with a row variable of 4 groups and a column variable of 13 groups, there are 36 degrees of freedom available for this test. These degrees of freedom allow for the assessment of the relationship between the two variables and the evaluation of statistical significance.

Learn more about contingency table here:

https://brainly.com/question/30920745

#SPJ11

The shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).

What is a normal distribution?

A normal distribution is a function on some random variables, which represent the set of all those random variables in a symmetrical bell shape about the mean value.

It shows that the probability of occurrence of some data which is distributed over a function is more at or around the mean.

It is also known as probability distribution curve.

The normal distribution has two parameters:

What is the shape of the normal distribution?

The normal distribution curve is at it's peak at the mean value. This shows that the probability of occurrence of the data or value is more concentrated or distributed about the mean. It is also symmetric about the mean. As we more further from the mean, we see that the normal distribution curve gradually decreases showing that the probability of occurrence of the data or the values decreases. The shape that this curve forms is like a bell-shaped. So the shape of normal distribution is bell shape.

Hence, the shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).

Know more about "normal distribution" here: https://brainly.com/question/15103234

#SPJ4

Answer:

C. d= 1/6h

Step-by-step explanation:

2/3 dress in 4 hours

We need to find out how much of a dress can be finished per hour.

2/3 /4 = 2/12

2/12 ---> 1/6

d= 1/6h

Brainliest is much appreciated!

The total number of hours spend on the communicating is 11.2 hours each day..

As the stated question-

Average number of waking hour per day = 16.

Communicating hours = 70% of total hours.

Thus,

Communicating hours =  70 x 16 / 100

Communicating hours = 11.2 hours

Thus, the total number of hours spend on the communicating is 11.2 hours.

To know more about the percentage of the number, here

https://brainly.com/question/24877689

#SPJ4

Answer:

Yes it is tangent because it is touching a certain point

Step-by-step explanation:

Heres a pic i found of an example and it looks exactly like that one

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The side lengths of the triangle are 5, 12, and 5+8 = 13. We can check to see if they satisfy the Pythagorean theorem, which would indicate a right triangle.

  5² + 12² = 25 +144 = 169 = 13²

These sides do satisfy the relationship between sides for a right triangle, so angle A is a right angle. That is the case when segment AB is a tangent to the circle.

  Yes, AB is a tangent.

Answer:(x−3)(x^2+1)

Step-by-step explanation:

Answer:

9d+3

Step-by-step explanation:

(6d+5)-(2-3d)= cancel out parentheses

6d+5-2+3d= Commutative property of addition

6d+3d+5-2= Group like terms

(6d+3d)+(5-2)= Combine like terms

Answer = 9d+3

Answer:

After 16 months, the total amount paid would be the same for both dealers. This would be $5150.

Step-by-step explanation:

Let x = Number of months

Let y = Amount paid in $

y = 175x + 2350 (Dealer 1)

y = 150x + 2750 (Dealer 2)

175x + 2350 = 150x + 2750 (Make both equal and solve for x)

175x -150x = 2750 -2350

25x = 400

x = 16

After 16 months the total amount would be the same.

Now plug in 16 for x in any equation...

y = 150(16) + 2750

y = 2400 + 2750

y = 5150

Answer:

Step-by-step explanation:

let x = number of months

let dealer A = 2350 + 175x

let dealer B = 2750 + 150x

find:

After how many months would the total amount paid be the same for both dealers? What would that amount be?

dealer A = dealer B

2350 + 175x  = 2750 + 150x

175x - 150x = 2750 - 2350

25x = 400

x = 400/25

x = 16

plugin x=16 back into the equation

let dealer A = 2350 + 175x

                    = 2350 + 175(16)

                    = 5150

let dealer B = 2750 + 150x

                   = 2750 + 150(16)

                   = 5150

therefore,

1. it would take 16 months  pay the same for both dealers

2. the amount would be $5150

The elevation of the cave in feet will be negative 72 feet. Then the correct option is D.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A jumper is at a height of - 18 feet comparative with ocean level. The jumper plunges to an undersea cavern that is 4 times as distant from the surface

The elevation of the cave is given as,

Elevation = - 18 x 4

Elevation = - 72 feet

The elevation of the cave in feet will be negative 72 feet. Then the correct option is D.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

An equation of the plane is 6x + 9y + 5z = 141.

To find an equation of the plane, we need the coordinates of a point on the plane and the normal vector perpendicular to the plane. In this case, we are given the point (7, 9, 5) and the normal vector 6i + 9j + 5k.

An equation of a plane can be represented in the form Ax + By + Cz = D, where A, B, and C are the coefficients of x, y, and z respectively, and D is a constant.

Using the given point (7, 9, 5), we can substitute these values into the equation and solve for D. Plugging in the coordinates, we have 6(7) + 9(9) + 5(5) = D. Simplifying, we get 42 + 81 + 25 = D, which gives us D = 148.

Now we have the coefficients A = 6, B = 9, C = 5, and D = 148. Therefore, the equation of the plane is 6x + 9y + 5z = 148.

Simplifying further, we can divide all coefficients by their greatest common divisor, which is 1 in this case, to obtain the simplified equation: 6x + 9y + 5z = 141.

This equation represents a plane passing through the point (7, 9, 5) with a normal vector of 6i + 9j + 5k.

Learn more about plane visit

brainly.com/question/2400767

#SPJ11