Write the equation of the line through the points (1,3) & (-2,5)in slope-intercept form

Answers

Answer 1

Answer:

-2/3

Step-by-step explanation:

Well you would use slope-intercept formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Then you need to plug in your numbers so it would look like [tex]\frac{5-3}{-2-1}[/tex]. then it would look like [tex]\frac{2}{-3}[/tex] and that would be your m. The next step would be to


Related Questions

PLEASEEEE HELPPPPPPP!!!!!

Answers

To find S or T add them together:

3/5 + 1/3

Rewrite the fractions to have a common denominator

9/15 + 5/15 = 14/15

Answer: 14/15

Step-by-step explanation:

Here is your answer . Hope it helps.

6,10,16,24,34 nth term can youll please find​

Answers

Answer:

the next number is going to be46

Answer:

the next number will be 46

I’m new and i need help!!
Please help me of you know the answers.

Answers

Answer:

2, x, 2x

Step-by-step explanation:

A) 2

They are even numbers, so it is going to be 2.

B) x

It is going to only be x because the exponents are even and odd.

C) 2x

It is going to be 2x because the numbers are even but the exponents are even and odd.

Hope this helps.

If the number of observations for each sample is 150 units, what is the 3-sigma upper control limit of the process

Answers

Complete Question

Complete Question is attached below

Answer:

[tex]UCL= 0.25[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size[tex]n=150[/tex]

Sample Variants [tex]s=7[/tex]

Sigma control limits  [tex]Z = 3[/tex]

Therefore

Total number of observations is Given as

[tex]T_o=n*s[/tex]

[tex]T_o=150 *7[/tex]

[tex]T_0=1050[/tex]

Generally

Summation of defectivee

[tex]\sum np=23+34+15+30+25+22+18[/tex]

[tex]\sum np= 167[/tex]

Generally the equation for P-bar is mathematically given by

[tex]P-bar=\frac{\sum np}{T_o}[/tex]

[tex]P-bar=\frac{167}{1050}[/tex]

[tex]P-bar=0.16[/tex]

Therefore

[tex]Sp=\sqrt{\frac{P-bar(1-P-bar)]}{ n}}[/tex]

[tex]Sp=\sqrt{\frac{[0.159(1-0.159)]}{150}}[/tex]

[tex]Sp=0.03[/tex]

Generally the equation for 3-sigma upper control limit of the process is mathematically given by

[tex]UCL = P-bar + Z*Sp[/tex]

[tex]UCL= 0.16 + 3*0.03[/tex]

[tex]UCL= 0.25[/tex]

Kezang was 5 times as old as his son 10 years ago. After 8 years, Kezang will be twice as

old as his son. What are their present age​

Answers

Step-by-step explanation:

let father's age = x

son's age = y

Five years hence, age of father = x+5

age of son =y+5

So (x+5)= 3(y+5)

⇒x=3y+10

Five years ago, age of father = x-5

age of son = y-5

Sox-5=7(y-5)

⇒3y + 10-5=7y - 35

⇒ 4y = 40

⇒y=10 <<<<<<<
x = 3y +10= 40 <<<<<

f(x)=-2x^2+x-5 find f(-6)

Answers

f(x) = 2x² + x - 5

f(-6) = 2(-6)² + (-6) -5

=> f(-6) = 2(36) -11

=> f(-6) = 72 - 11

=> f(-6) = 61

!!! HELP ASAP !!! I almost got the problem but the problem was the rounding. I believe I rounded right but it is still incorrect. Can someone please help me on the rounding portion of the question? Thank you for your help!!!

Answers

Hi!
The question is asking you to round to the nearest hundredth. That means that if it’s asking you to round 2.03, it would round down to 2.00.


Two buses leave towns 576 kilometers apart at the same time and travel toward each other. One bus travels 12
h
slower than the other. If they meet in 3 hours, what is the rate of each bus?
km
Rate of the slower bus:

Rate of the faster bus:

Answers

Answer:

Rate of slower bus; 90 km/h

Rate of faster bus; 102 km/b

Step-by-step explanation:

We know that formula do distance is;

Distance = speed/time

We are told that One bus travels 12h slower than the other.

Let speed of slower bus be x.

Thus;

Speed of faster bus = x + 12

Speed of slower bus = x

After 3 hours, distance by faster bus = 3(x + 12)

Speed of slower bus = 3x

Since the towns are 576 km apart, then;

3(x + 12) + 3x = 576

Divide through by 3 to get;

x + 12 + x = 192

2x + 12 = 192

2x = 192 - 12

2x = 180

x = 180/2

x = 90 km/h

Faster bus speed = 90 + 12 = 102 km/h

Where did this part came from how did this value came from

Answers

Answer:

Sin (theta) has the same value for the both value of theta, so both applies.

Answered by GAUTHMATH

Is the following shape a square? How do you know?
.8
C.
A
0
O A. No, the opposite sides are not parallel.
B. Yes, the opposite sides are parallel, and all sides are the same
length
O C. No, the sides are not congruent.
D. Yes, the adjacent sides are perpendicular, and all sides are the
same length

Answers

The answer is C because although the sides are parallel, they are not congruent

the expression -6x-7(4+3) is equivalent to?

Answers

Answer:

x(12y+4)

2 0 l e t t e r s

Choose ALL of the following functions that represent exponential decay. f(x) = 5(2/3)^x

Answers

Answer:

exponential decay

Step-by-step explanation:

The function is in the form

y = ab^x  where a is the initial value and b is the growth or decay rate

If b >1 then it is growth

b < 1 then it is decay

f(x) = 5(2/3)^x

a = 5

b = 2/3

2/3 <1 so it is decay

Omar keeps his sneaker collection carefully arranged on the floor of his closet. 8 pairs of
sneakers fit perfectly side-by-side from one end of the closet to the other. The closet is 60
inches wide.
How wide is each pair of sneakers?

Answers

Answer:

7.5 inches wide. I wasnt wrong. for a second i thought it was asking for the width of each individual sneaker.

Answer:

each pair of sneakers are 7.5 inches wide

38)
A man completes a job in 5 days working 8 hours a day. How many days will he take to complete the same job working 2 hours overtime per day in addition?

Answers

Answer:

dbcjchdiskcnbcksksnnckdkxnn

Original measure work: 1 man x 5 days x 8 hours per day = Total Work Content = 40 hours.
Revised Work Schedule: = 40 Hours Work
Answer: 10 hours per day x 4 days x 1 man.
The Balancing Ratio on Time, an 20% uplift in daily labour input with 10 hours worked instead of 8 hours per day.
= 20% reduction in Total Length of Time from 5 days to 4 days)

PLEASE ANSWER!!
What is the remainder for the synthetic division problem below?
2/ 3 1 2 -7
A. 25
B. 17
C. -29
D. -39

Answers

A: 25.

Explanation: Check the attached image.

For synthetic division, you just need to multiply the 1st number of the polynomial by the divisior, and then, add it up to the next number; then, the coefficient will be multiplied by the divisor, and so on and so forth until you reach the last number... that last coefficient at the end is the reminder that you've been asked for

Work out giving ur answer as a mixer number

Answers

Answer:

1 11/20

Step-by-step explanation:

3 3/4 - 2 1/5

Get a common denominator of 20

3 3/4 *5/5  -2 1/5 *4/4

3 15/20 - 2 4/20

1 11/20

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}}[/tex]

see this attachment☝

Successful managers must have personality characteristics often thought of as feminine as well as those thought as masculine. The Ben-Sex-Role Inventory (BSRI) is a personality test that gives separate ratings for female and male stereotypes, both on a scale of 1 to 7. A sample of 144 hotel general managers of three star and four star hotels had mean BSRI masculinity score of 5.91. Assume that the standard deviation masculinity score for all hotel managers is 2.4. What is the margin of error for the sample of hotel managers at 95% confidence?

Answers

Answer:

0.392

Step-by-step explanation:

Given :

Sample size, n = 144

Mean score, = 5.91

Standard deviation, σ = 2.4

The margin of error at 95% confidence, α = 0.05

The margin of error = Zcritical * σ/√n

We use Z because we σ is known

Zcritical at 95% = 1.96

The margin of error = 1.96 * 2.4/√144

The margin of error = 1.96 * 2.4/12

= 1.96 * 0.2

= 0.392

1. Define the following: Odds ratio Relative risk 2. Describe how to calculate the Odds ratio and provde the formula. 3. Describe how to calculate the Relative Risk and provide the formula.

Answers

Answer and Explanation:

Odds ratio is the odds that an outcome would happen given a level of exposure in comparison to the occurrence of that outcome without exposure. Odds ratio is calculated by dividing odds of event occurring with exposure(the first group) by odds of event(usually disease) occurring without exposure. Odds is different from probability(denoted p/1-p). While probability is the number of favorable events divided by total number of events, odds is number of favorable events/number of unfavorable events.

Relative risk, also measuring relationship between exposure and outcome, is the ratio of the probability that an outcome would occur without exposure and probability that an outcome would occur with exposure.

A carpenter can make at most 20 tables and at most 30 chairs per day. Each table requires 3 hours of labor and each chair 2 hours of labor. The maximum total hours of labor that the carpenter has at his disposal is 96.

Answers

Answer:

Step-by-step explanation:

I have completed everything except for the last box. Can someone please help me on the last box? Thank you for your help!

Answers

Answer:

[tex]2.5\%[/tex]

Step-by-step explanation:

From the Empirical Rule, 95% of the data shown falls between 63 and 95. The other 5% is evenly distributed to each side (since the distribution is bell-shaped), hence there being [tex]\boxed{2.5\%}[/tex] of scores less than 63.

The directions say to give the approximate percentage which is vague. You may have to input [tex]3\%[/tex] if it does not accept [tex]2.5\%[/tex].

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. P(X > 3), n = 5, p = 0.2

Answers

Answer:

0.0064

0.00032

Step-by-step explanation:

Given the details:

P(X > 3), n = 5, p = 0.2

The binomial distribution is related using the formula:

P(x = x) = nCx * p^x * q^(n-x)

q = 1 - p = 1 - 0.2 = 0.8

P(X > 3) = p(x = 4) + p(x = 5)

P(x = 4) = 5C4 * 0.2^4 * 0.8^1 = 5 * 0.2^4 * 0.8^1 = 0.0064

P(x = 5) = 5C5 * 0.2^5 * 0.8^0 = 1 * 0.2^5 * 0.8^0 = 0.00032

(b) The area of a parallelogram is 48 cm². If the two adjacent sides are 8 cm and 6 cm, find the length of its diagonal.​

Answers

9514 1404 393

Answer:

  10 cm

Step-by-step explanation:

The given area is the product of the side lengths, so the angle between them must be 90°.

  Area = ab·sin(C) . . . . . where C is the angle between sides 'a' and 'b'.

  48 cm² = (8 cm)(6 cm)·sin(C)

  1 = sin(C)   ⇒   C = 90° . . . . . . . . divide by 48 cm², find the arcsin

__

The diagonal of the parallelogram (rectangle) can be found from the Pythagorean theorem. (Using the law of cosines would give the same result.)

  d² = 8² +6² = 64+36 = 100

  d = √100 = 10 . . . . cm

The length of the diagonal is 10 cm.

_____

Additional comment

You may recognize the diagonal and the given sides form a 3-4-5 right triangle with a scale factor of 2. The diagonal will be the hypotenuse of a right triangle only if the parallelogram is a rectangle.

Are the following triangles similar by the angle-
angle similarity theorem?
A.No, the triangles don't have three angles.
B.Yes, one of the triangles is smaller than
the other.
C.Yes, two pairs of congruent angles are
marked.
D.No, the triangles don't share two pairs of
congruent angles.

Answers

Answer:

D. No, the triangles don't share two pairs of congruent angles.

Step-by-step explanation:

Two triangles can only be proven similar from the AA (Angle-Angle) similarity theorem if it can be deduced that they share two congruent angles.

In this case, both triangles share one angle, however no other angles can be deduced to be congruent. Therefore, the triangles cannot be proven similar from the AA similarity theorem because they do not share two pairs of congruent angles (corresponds with answer choice D).

Answer:

D.No, the triangles don't share two pairs of congruent angles.

Step-by-step explanation:

We know that angle M equals angle H  and that angle I equals the unmarked angle.

We do not know that angle N equals angle O so we cannot state that the triangles are similar

Evaluate the following expressions using the chip method. SHOW ALL WORK!!!

Answers

Answer:

a. -7 b. -20c. 7

Step-by-step explanation:

a. -9+2, in this case, it is -7 because you take the bigger number and subtract it by the lower number. If the bigger number is negative your answer will be negative, if the bigger number is positive it will be positive it is just really a basic subtraction problem just add the sign.b. In multiplication +++=+ ++-=- and a -+-=+ do your problem without thinking about the signs and then add the signs with the formula I showed you.c. ---=+

Hope this helps :)!

Can some solve this question for me plz

Answers

I think 'D' is the correct answer.

On a coordinate plane, rhombus W X Y Z has points (negative 3, 1), (1, 4), (5, 1), and (1, negative 2). Rhombus WXYZ is graphed on a coordinate plane. What is the area of the rhombus?

Answers

Answer:

B. 20 Units

Step-by-step explanation:

unit test review edge 2021

The area of rhombus WXYZ as shown in the diagram given with the given vertices is: 24 units².

What is the Area of a Rhombus?

Area of a rhombus = pq/2, where p and q are the diagonals of the rhombus.

Find the lengths of diagonals XZ and WY:

XZ = |4 -(-2)| = 6 units

WY = |-3 - 5| = 8 units

Area of rhombus WXYZ = 1/2(XZ × WY) = 1/2(6 × 8)

Area of rhombus WXYZ = 24 units².

Learn more about the area of a rhombus on:

https://brainly.com/question/2456096

#SPJ2

Male bluethroats have a complex song which is thought to be used to attract female birds. Let x denote the duration of a randomly selected song (in seconds) from a male bluethroat. The authors of research on bluethroat song report the mean song duration is 13.8 seconds and the standard deviation of song durations is 11.8 seconds. The authors also noted that the song length distribution is not normal.

Required:
a. Let = average song duration (in seconds) for a sample of 36 male bluethroat songs. Is this distribution of the sample mean song duration " normally distributed" ?
b. Find the probability that a sample of 36 male bluethroat songs will have a mean duration greater than 12 seconds. Draw, label, and shade a graph to illustrate your result.

Answers

Answer:

a) Sample size larger than 30, so by the Central Limit Theorem, yes.

b) 0.8199 = 81.99% probability that a sample of 36 male bluethroat songs will have a mean duration greater than 12 seconds. The sketch is given at the end.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean song duration is 13.8 seconds and the standard deviation of song durations is 11.8 seconds.

This means that [tex]\mu = 13.8, \sigma = 11.8[/tex]

Sample of 36

This means that [tex]n = 36, s = \frac{11.8}{\sqrt{36}} = 1.9667[/tex]

a. Let = average song duration (in seconds) for a sample of 36 male bluethroat songs. Is this distribution of the sample mean song duration " normally distributed" ?

Sample size larger than 30, so by the Central Limit Theorem, yes.

b. Find the probability that a sample of 36 male bluethroat songs will have a mean duration greater than 12 seconds. Draw, label, and shade a graph to illustrate your result.

This is 1 subtracted by the p-value of Z when X = 12. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{12 - 13.8}{1.9667}[/tex]

[tex]Z = -0.915[/tex]

[tex]Z = -0.915[/tex] has a p-value of 0.1801.

1 - 0.1801 = 0.8199

0.8199 = 81.99% probability that a sample of 36 male bluethroat songs will have a mean duration greater than 12 seconds.

Sketch:

Could someone help me solve this please.

Answers

Answer: maybe 20 % at least because it might me adding

What is the volume of the prism? 2inches, 2 1/4 and 4 inches

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

18in³

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

Assuming that the figure is a rectangular prism:

⸻⸻⸻⸻

[tex]\boxed{\text{Volume of a rectangular prism is:}}\\\\V = l * w * h\\-----------\\V = 2 * 2.25 * 4\\\\\boxed{V = 18}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.    

Vertical asymptotes and holes always occur at x values that are??
HELP PLEASE!!

Answers

Answer:

These asymptotes are very important characteristics of the function just like holes. Both holes and vertical asymptotes occur at x values that make the denominator of the function zero.

Other Questions
g A monopoly is a market that has Group of answer choices Only one buyer. Only one seller. Many sellers who sell differentiated products. Many sellers who sell identical products. Treason is a federal crime that can _____.only be committed by a foreign citizenbe committed in a time of peace or a time of waronly be committed during wartimeonly be committed by citizens living in the United States what are binary code Why has April 15 come to be know as tax day ? please help me please help me In fiction, which of the following is a reason to start a new paragraph?A. All of theseB. When a new character joins the story.C. When a character gives a list.D. When a character describes himself or herself. ABC Corporation owns a factory. They are selling the factory to Amalgamated Corp. The lawyer for ABC Corporation writes the deed with all of the required elements, and it is signed by Bill Smith. Bill is the president of ABC Corporation, but it doesn't say so on the deed, nor is there a corporate seal. Is this a valid real estate transaction Answer plsss! Im Losing Points! Help Asap!!!!4. Now, you are ready to write. Imagine that you are a young African American living in a northern city in the 1920s. Which organization would you join the NAACP or the UNIA and why? Write a diary paragraph explaining your decision. (16 points)Be sure to begin with a strong hook and include a thesis statement that lays out your main argument, supporting details, and a good conclusion. Porque las enzimas actuan sobre algunas sustancias outline the significances of passion death and Resurrection of Jesus to Christians today Buenos das. Me llamo Enrique Pea. Cmo _[blank]_ usted? Determine the equation of a vertical line that passes through the point (-5,-2). Required: a. Compute gross profit, the goods available for sale, and the cost of goods sold for the merchandiser. Hint: Not all information may be necessary. b. Use the above information from a service company and from a merchandiser to compute net income.Kleiner Merchandising CompanyAccumulated depreciation $ 700Beginning inventory 10,000Ending Inventory 6,000Expenses 1,950Net Purchases 11,900Net Sales 19,500Krug Service CompanyExpenses $ 8,400Revenues 24,000Cash 650Prepaid rent 660Accounts payable 200Equipment 2,200 11 red marbles, 9 blue marbles and 20 green marbles as a ratio in its simplest form The function f(x) = log4x is dilated to become g(x) = f (1/3x).What is the effect on f(x)? A person's food choices may be influenced bya personal tasteb availabilityc Culture d health conditions If f(x) =3x^2 +1 and g(x) = 1 -x, what is the value of (f-g) (2)? Find the value(s) of a in the domian of f for which f(a)=1. f (x)=x^2+2x-2 Suppose the national mean annual salary for a school administrator is $91,000 a year. A school official took a sample of 25 school administrators in the state of Ohio to learn about salaries in that state to see if they differed from the national average.77,600 76,000 90,700 97,200 90,700101,800 78,700 81,300 84,200 97,60077,500 75,700 89,400 84,300 78,70084,600 87,700 103,400 83,800 101,30094,700 69,200 95,400 61,500 68,800(a) Formulate hypotheses that can be used to determine whether the population mean annual administrator salary in Ohio differs from the national mean of $91,000.H0: 91,000Ha: > 91,000H0: > 91,000Ha: 91,000H0: 91,000Ha: < 91,000H0: < 91,000Ha: 91,000H0: = 91,000Ha: 91,000(b) The sample data for 25 Ohio administrators is contained in the file named Administrator.What is the test statistic for your hypothesis test in part (a)? (Round your answer to three decimal places.)What is the p-value for your hypothesis test in part (a)? (Round your answer to four decimal places.)p-value = (c) At = 0.05,can your null hypothesis be rejected? What is your conclusion?Reject H0. We can conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.Do not reject H0. We cannot conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary. Reject H0. We cannot conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.Do not reject H0. We can conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.(d) Repeat the preceding hypothesis test using the critical value approach.State the null and alternative hypotheses.H0: 91,000Ha: > 91,000H0: > 91,000Ha: 91,000H0: 91,000Ha: < 91,000H0: < 91,000Ha: 91,000H0: = 91,000Ha: 91,000Find the value of the test statistic. (Round your answer to three decimal places.)State the critical values for the rejection rule. Use = 0.05. (Round your answer to three decimal places. If the test is one-tailed, enter NONE for the unused tail.)test statistictest statisticState your conclusion.Reject H0. We can conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.Do not reject H0. We cannot conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary. Reject H0. We cannot conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.Do not reject H0. We can conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary. On July 1, 2021, Clearwater Inc. purchased 9,300 shares of the outstanding common stock of Mountain Corporation at a cost of $213,000. Clearwater will have significant influence over the financial and operating policies of Mountain. Mountain had 31,000 shares of outstanding common stock. Assume the total book value and fair value of identifiable net assets is $660,000. Both companies have a January through December fiscal year. The following data pertains to Mountain Corporation during 2021:Dividends declared and paid, Jan. 1June 30 $11,700 Dividends declared and paid, Jul. 1Dec. 31 $11,700 Net Income, January 1June 30 $13,700 Net Income, July 1December 31 $17,700 Required:a. Prepare the entry to record the original investment in Mountain.b. Compute the goodwill (if any) on the acquisition.c. Prepare the necessary entries (other than acquisition) for 2021 under the equity method.