what are the cylindrical coordinates of the point whose rectangular coordinates are x= -3 y=5 and z=-1
r=
θ=
z=

Answers

Answer 1

The cylindrical coordinates of the point whose rectangular coordinates x= -3 y=5 and z=-1  are r=√34, θ= -1.03 and z= -1

Two real number lines that meet at a right angle make up the rectangular coordinate system. The x-axis refers to the horizontal number line, and the y-axis to the vertical number line.

To convert the rectangular coordinates to the cylindrical coordinates, we use the formulas:

r = √(x² + y²)

θ = atan(y/x)

z = z

Plugging in the given values, we get:

r = √((-3)² + 5²) = √(9 + 25) = √(34)

θ = atan(5/(-3)) = -1.03 (approximately)

z = -1

Therefore, the cylindrical coordinates of the point are (√(34), -1.03, -1).

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Related Questions

If you roll a standard six-sided die, what is the probability that you get a 1, 2, 3, 5, or 6? give your answer as a simplified fraction.

Answers

The probability of getting 1, 2, 3, 5, or 6 when you roll a standard six-sided die is 5/6

How to find the probability of getting a 1, 2, 3, 5, or 6 when you roll a standard six-sided?

The given parameters are:

Sample space = {1, 2, 3, 4, 5, 6}

So, we have

P(1)  1/6

P(2) = 1/6

P(3) = 1/6

P(5) = 1/6

P(6) = 1/6

The probability of getting 1, 2, 3, 5, or 6 when you roll a standard six-sided die is calculated as:

P = 1/6 + 1/6 + 1/6 + 1/6 + 1/6

So, we have

P =5/6

Hence, the probability of getting 1, 2, 3, 5, or 6 when you roll a standard six-sided die is 5/6

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SUPPOSE Cecil start from Point a and moved accord to the expression 8+(-5)+7+6+(-7)+5+(-8). What one additional step does cecil need in order to return to starting pont?

Answers

6 miles , is the one additional step which Cecil must travel in order to return to starting point A . His move accord expression is

8+(-5)+7+6+(-7)+5+(-8)+6

Let Cecil start from a point A and move toward point B . His movement expression is

8+(-5)+7+6+(-7)+5+(-8)

A →8 <--5 →7→6<--7→5<--8 , here  shows forward steps and shows backward steps

A→8→7→6→5 (B)

Total distance travelled by Cecil from A to B = 26 miles

B→5→7→8

Total distance travelled by Cecil from B to A = 20 miles

Cecil wants to return to the starting point A ,so he must be travel same distance as travelled from A to B i.e. 26 miles .

But Cecil travel from B to A is 20 and not 26 . The difference between the distance travelled by Cecil is (A→B – B→A) = 26-20 = 6 miles

Hence, Cecil required travel distance is 6 miles to return his starting point A.

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How can I find the answer for number 1 and 4 with explanation?​

How can I find the answer for number 1 and 4 with explanation?

Answers

Answer:

Concept: Sequences & Series

The hint here is to try to find the common factor, you asked us to solve 1 so see the solution below.

1,-3,9, -27 : We see a common base of 3 hence we can find that the series representation is \(( - 3) ^{n-1} \)

Next we can find the next 3 terms by just plugging in the values

We want the 6th, 7th, and 8th term

So we plug 6 in for n and 7 in for n and 8 in for n

So we get the 6th term=-243

The 7th term= 729

The 8th term= -2187

Answer:

Step-by-step explanation:

1) 1 , -3 , 9 , -27 , 81 ,...........

It is Geometric sequence

ratio = 2 term ÷ first term = -3 ÷ 1 = -3

1st term = 1

2nd term = 1 * -3 = -3

3rd term = -3 *(-3) = 9

4th term = 9 *(-3) = - 27

6th term = 81 *(-3) = -243

7th  term = -243 *(-3) =  729

8th term = 729 *(-3) = -2187

Next 3 terms:  - 243 , 729 , - 2187,....

4)

\(\frac{1}{2}, \frac{1}{2} , \frac{3}{8} , \frac{1}{4} ,\frac{5}{32},.....\\\\\\Rule = \frac{n}{2^{n}}\\Term1 = \frac{1}{2^{1}}=\frac{1}{2}\\\\Term2 = \frac{2}{2^{2}}=\frac{2}{4}=\frac{1}{2}\\\\Term3 = \frac{3}{2^{3}}=\frac{3}{8}\\\\Term4 = \frac{4}{2^{4}}=\frac{4}{16}=\frac{1}{4}\\\\Temr5 = \frac{5}{2^{5}}=\frac{5}{32}\\\\Term6 = \frac{6}{2^{6}} = \frac{6}{64} = \frac{3}{32}\\\\Term7 = \frac{7}{2^{7}}=\frac{7}{128}\\\\Term8 =\frac{8}{2^{8}} = \frac{8}{256}=\frac{1}{32}\\\\\)

Next 3 terms are : 3/32 , 7/128 , 1/32

Given the scatter plot, choose the function that best fits the data.
(See photo attached)

A. f(x) = 2^x
B. f(x) = 2x
C. f(x) = -2x
D. f(x) = 2x^2

Given the scatter plot, choose the function that best fits the data.(See photo attached)A. f(x) = 2^xB.

Answers

Answer:

A is the answer to your question because it's the only answer in exponential form.

B and C are in slope forms.

D is in quadratic form.

a professional basketball player makes 80% of the free throws he tries. assuming this percentage holds true for future attempts, use the binomial formula to find the probability that in the next eight tries, the number of free throws he will make is: a. exactly 8 b. exactly 5 c. 3 or 4

Answers

a) The probability that in the next eight tries, the number of free throws he will make exactly 8 is equals to the 0.27249.

b) The probability that in the next eight tries, the number of free throws he will make exactly 5 is equals to the 0.08386.

We have a professional basketball player makes 80% of the free throws he tries.

let X be the number of free throws he will make in the next 8 tries. He makes 80% of the free thwors he tries. So, for binomial distribution, X~Bin(8,0.80)

so the probability mass function of X is P[X =x] = ⁸Cₓ 0.85ˣ (1-0.85)⁽⁸⁻ˣ⁾, x = 0,1, 2,..8

P[ X = x] = 0 otherwise.

a) So, the probability that he makes exactly 8 throws isP,(X=8)

= ⁸C₈(0.85)⁸ (1- 0.85)⁰

=0.27249

b) the probability that he makes exactly 5 throws is, P[X=5]

=⁸C₅0.855(1-0.85)⁽⁸⁻³⁾=56×0.855×0.153

=0.08386

Hence required probability is 0.083.

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Frankie says that it
costs $12.50 to make a
wreath.
The table below shows the cost to
make a wreath. How much does it
Sost to make one wreath?
3
5
WREATH, w
COST, a
7
$87.50
9
$112.50
$37.50
$62.50
Fiona says that it costs
$13.50 to make a
wreath.

Frankie says that itcosts $12.50 to make awreath.The table below shows the cost tomake a wreath. How

Answers

Answer:

Frainkie is correct it takes $12.50

Step-by-step explanation:

37.50 divided by 3 to find out one wreath's cost which is 12.50

hope this helps

plz mark me brainliest.

solve x^3=1/8
a.1/2
b.+1/2
c.1/4
d.+1/4

Answers

Answer:

a 1/2

Step-by-step explanation:

1/2

9^(2x) • 27^(3-x) = 1/9

Answers

Answer:

\(\huge\boxed{x=-11}\)

Step-by-step explanation:

\(9^{2x}\cdot27^{3-x}=\dfrac{1}{9}\\\\9=3^2;\ 27=3^3;\ \dfrac{1}{9}=3^{-2}\\\\\text{therefore}\\\\(3^2)^{2x}\cdot(3^3)^{3-x}=3^{-2}\qquad|\text{use}\ (a^n)^m=a^{nm}\\\\3^{2\cdot2x}\cdot3^{3(3-x)}=3^{-2}\\\\3^{4x}\cdot3^{9-3x}=3^{-2}\qquad|\text{use}\ a^n\cdot a^m=a^{n+m}\\\\3^{4x+9-3x}=3^{-2}\\\\3^{x+9}=3^{-2}\iff x+9=-2\qquad|\text{subtract 9 from both sides}\\\\x+9-9=-2-9\\\\x=-11\)

please help me im stuck

please help me im stuck

Answers

Answer:

a = -0.5

Step-by-step explanation:

\( \rm Solve \: for \: a: \\ \rm \longrightarrow - \dfrac{1}{4}a - 4 = \dfrac{7}{4}a - 3 \\ \\ \rm Put \: each \: term \: in \: - \dfrac{1}{4}a - 4 \: over \: the \\ \rm common \: denominator \: 4: \\ \rm - \dfrac{a}{4} - 4 = - \dfrac{a}{4} - \dfrac{16}{4} : \\ \rm \longrightarrow - \dfrac{a}{4} - \dfrac{16}{4} = \dfrac{7}{4}a - 3 \\ \\ \rm - \dfrac{a}{4} - \dfrac{16}{4} = \dfrac{ - a - 16}{4} : \\ \rm \longrightarrow \dfrac{ - a - 16}{4} = \dfrac{7}{4}a - 3 \\ \\ \rm Put \: each \: term \: in \: \dfrac{7}{4}a - 3 \: over \: the \\ \rm common \: denominator \: 4: \\ \rm \dfrac{7a}{4} - 3 = \dfrac{7a}{4} - \dfrac{12}{4} : \\ \rm \longrightarrow \dfrac{ - a - 16}{4} = \dfrac{7a}{4} - \dfrac{12}{4} \\ \\ \rm \dfrac{7a}{4} - \dfrac{12}{4} = \frac{7a - 12}{4} : \\ \rm \longrightarrow \dfrac{ - a - 16}{4} = \dfrac{7a - 12}{4} \\ \\ \rm Multiply \: both \: sides \: by \: 4: \\ \rm \longrightarrow \dfrac{ - a - 16}{ \cancel{4}} \times \cancel{4}= \dfrac{7a - 12}{ \cancel{4}} \times \cancel{4} \\ \\ \rm \longrightarrow -a - 16 = 7 a - 12 \\ \\ \rm Subtract \: 7 a \: from \: both \: sides: \\ \rm \longrightarrow (-a - 7 a) - 16 = (7 a - 7 a) - 12 \\ \\ \rm -a - 7 a = -8 a: \\ \rm \longrightarrow -8 a - 16 = (7 a - 7 a) - 12 \\ \\ \rm 7 a - 7 a = 0: \\ \rm \longrightarrow -8 a - 16 = -12 \\ \\ \rm Add \: 16 \: to \: both \: sides: \\ \rm \longrightarrow (16 - 16) - 8 a = 16 - 12 \\ \\ \rm 16 - 16 = 0: \\ \rm \longrightarrow -8 a = 16 - 12 \\ \\ \rm 16 - 12 = 4: \\ \rm \longrightarrow -8 a = 4 \\ \\ \rm Divide \: both \: sides \: of \: -8 a = 4 \: by \: -8: \\ \rm \longrightarrow

\dfrac{ - 8a}{ - 8} = \dfrac{4}{ - 8} \\ \\ \rm \dfrac{ - 8}{ - 8} = 1: \\ \rm \longrightarrow a = - \dfrac{4}{ 8} \\ \\ \rm - \dfrac{4}{ 8} = - \dfrac{1}{2} : \\ \rm \longrightarrow a = - \dfrac{1}{2} \\ \\ \rm \longrightarrow a = - 0.5\)

many subjects don’t give honest answers to questions about activities that are illegal or sensitive in some other way. one study divided a large group of white adults into thirds at random. all were asked if they had ever used cocaine. the first group was interviewed by telephone: 21% said "yes." in the group visited at home by an interviewer, 25% said "yes." the final group was interviewed at home but answered the question on an anonymous form that they sealed in an envelope. of this group, 28% said they had used cocaine.

Answers

28% is the correct answer because it is the closest to true value sine people are sensitive about information like this.

In ΔEFG, g = 34 inches, e = 72 inches and ∠F=21°. Find the area of ΔEFG, to the nearest square inch.

Answers

The area of triangle EFG, to the nearest square inch, is approximately 1061 square inches.

To find the area of triangle EFG, we can use the formula:

\(Area = (1/2) \times base \times height\)

In this case, the base of the triangle is FG, and the height is the perpendicular distance from vertex E to side FG.

First, let's find the length of FG. We can use the law of cosines:

FG² = EF² + EG² - 2 * EF * EG * cos(∠F)

EF = 72 inches

EG = 34 inches

∠F = 21°

Plugging these values into the equation:

FG² = 72² + 34² - 2 * 72 * 34 * cos(21°)

Solving for FG, we get:

FG ≈ 83.02 inches

Next, we need to find the height. We can use the formula:

height = \(EF \times sin( \angle F)\)

Plugging in the values:

height = 72 * sin(21°)

height ≈ 25.52 inches

Now we can calculate the area:

\(Area = (1/2) \times FG \times height\\Area = (1/2)\times 83.02 \times 25.52\)

Area ≈ 1060.78 square inches

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Simplify (4.3)(4.3 ²)⁴

Answers

Answer:

\(4.3^{9}\)

Step-by-step explanation:

\((4.3^{1})\)\((4.3^{2})\)\((4.3^{2})\)\((4.3)^{2}\)\((4.3^{2})\)  If I expand this out a little, it might be easier to see.  If I do not have an exponent, it is understood that there is only one of those factors so the exponent is 1.

\((4.3^{2})^{4}\)  means that we are taking\(4.3^{2}\) four times.

The Product of Power Principle tells us that when we are multiplying by same base we add the exponents.

\(4.3^{9}\) or 506953 Rounded to the nearest whole number

7d − 6d = 16 NEED HELP ASAP I WILL GIVE YOU BRAINLY.

Answers

Step-by-step explanation:

\(\tt{ 7d-6d=16 }\)

\(\tt{ d=16 }\)

Answer:

d=16

Step-by-step explanation:

7d-6d=16d=16

I hope it helps you

Find x, and GH.
X =
GH: =
34
7x + 6
4x + 8

Find x, and GH.X =GH: =347x + 64x + 8

Answers

By using given figure, x=9/4 and the length of GH = 21.75.

What is the length ?

Here, in given figure,

BG≈GF and CH≈HE

now by using these similarities, we can write as,

BG≈GF therfore, \(\frac{GF}{BG}\) = 1:1

\(\frac{GF}{BF}\)=\(\frac{4x+8}{34}\)

1/2=\(\frac{4x+8}{34}\)

8x+16=34

8x= 18

x=9/4

if x=9/4 then,

GH= 7x+6 = 7(9/4)+6 =63/4+6 =\(\frac{63+24}{4}\) = 21.75

What is similarity of sides?

similarity of sides refers to the property of two geometric shapes or figures having the same shape but not necessarily the same size. More specifically, two shapes are said to be similar if their corresponding angles are congruent and their corresponding sides are proportional in length.

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which is the correct comparison of solutions for 2(5-x) > 6 and 22 > 2(9+x)?

Answers

The correct comparison of solutions for the expression is x < 2

How to determine the correct comparison of solutions for the expression

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

2(5-x) > 6 and 22 > 2(9+x)

Rewrite the expression properly

So, we have the following representation

2(5 - x) > 6 and 22 > 2(9 + x)

Divide both sides of the expressions by 2

So, we have the following representation

5 - x > 2 and 11 > 9 + x

Subtract both sides of the expression by the constant term

This gives

-x > -3 and 2 > x

Rewrite as

x < 3 and 2 > x

So, we have

x < 3 and x < 2

When combined, we have

x < 2

Hence, the solution is x < 2

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CAN SOMEONE HELP ME REALLY QUICK

if a punch bottle says it contains 20% fruit, and it is a 200-milliliter bottle, how many milliliters of fruit juice is in the bottle

A) 40 milliliters
B) 200 milliliters
C) 10 milliliters

Explain how you know this answer is correct

Answers

Answer:

A) 40 milliliters all credits to

sambhavbardia for answer

Step-by-step explanation:

= 20% × 200

= 20/100 × 200

20×2 = 40

I can't figure out it's multiple choice​

I can't figure out it's multiple choice

Answers

Answer:1,5

Step-by-step explanation:

gimme brainliest

the time to complete a bridge varies inversely with the square root of the number of people working. if 9 people can complete the job in 75 days then how long would it take 25 people?

Answers

If 09 people can complete the job in 75 days then 25 people needs 45 days to complete the job.

Let T be the time and L be the Labor (Number of people working on the bridge).

T ∞ 1/√L  (Inverse relationship)

T = K/√L                   ----------------------------- (1)

Since, Constant "K" is introduced once the variation sign (∞) changes to equality (=) sign.

According to the question,

Time (T) = 75 days    and

labor (L) = 09

From the equation (1), we get,

    T = K / √L

⇒ 75   = K/√9

⇒ 75= K/3

⇒ K= 225

First, the relationship between these variables is:

                       T = 225/√L

Therefore, how long it will take 25 people to do it means that we should look for the time.

                           T=225/√L

                      ⇒  T= 225/√25

                      ⇒  T= 225/5

                      ⇒  T= 45 days.

therefore, 25 people needs 45 days to complete the job.

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Given f(x), which function is the inverse?
f(x) = 3x - 5
A) g(y) = 3y + 5
B) g(y) = // +5
C) g(y) = 3+5 3
D) g(y) = 5y 3​

Answers

Answer:

g(y) = 1/3y + 5/3

Step-by-step Explanation:

We know that f(x) is synonymous with y so we can rewrite f(x) as y = 3x -5

To find the inverse of the function, we can switch y with x and x with y:

x = 3y - 5

Now we can isolate y to find the inverse of f(x):

(x = 3y - 5) + 5

(x + 5 = 3y) / 3

x/3 + 5/3 = y

1/3x + 5/3 = y

Thus, the inverse of f(x) is f^-1(x) = 1/3x + 5/3.  Since we want to write the inverse in terms of y, we get g(y) = 1/3y + 5/3.

If this answer doesn't match your answer choices (some of the answer choices you provided are unclear), please attach a pic and I can help you figure out which answer choice is correct)

How Many Cups In A Pounds ?

Answers

Answer:

There are 1.91 cups in a pound

1/3 of a cake and was eaten 1/4 of a cake

Answers

Answer:

Look on brainless

Step-by-step explanation:

jill is taking 5 courses (or 15 credit hours). how many hours of homework should she expect each week in addition to her time spent inside the classroom?

Answers

Jill should expect an additional 30 to 45 hours of homework each week.

As a general rule of thumb, students can expect to spend 2-3 hours of homework for each hour spent in class. This means that for a 15 credit hour course load, Jill can expect to spend an additional 30 to 45 hours on homework each week.

However, this is just a rough estimate and the actual amount of time required will depend on the difficulty of the courses, the teaching style of the instructors, and the individual study habits and ability of the student. Additionally, some courses may require more time spent on projects, reading, or other assignments that are not factored into this estimate.

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Find all of the factors of 28 and 12. Then, identify the greatest common factor of 28
and 12.

Answers

Answer: 4

Step-by-step explanation:

4 goes in both of them and is the greatest common factor

Answer:

4

Step-by-step explanation:

Write the factors of each number

\(28=1,2,4,7,14,28\\12=1,2,3,4,6,12\)

Therefore, we can see that 4 is the greatest common factor of 28 and 12

Subjects who participate in a study of patients with inflammatory bowel disease are described as the:a. accessible population. b. element. c. sample. d. target population.

Answers

The target population is the population of interest that researchers aim to generalize their findings to.

The correct answer is c. sample.

In a research study, the population of interest is often too large or too difficult to access entirely. Therefore, researchers select a representative subset of the population to study, which is called a sample. In this case, patients with inflammatory bowel disease are the population of interest, and those who participate in the study are the sample.

The accessible population refers to the portion of the population that is accessible to the researcher. For example, if a researcher is studying the prevalence of a disease in a certain region, the accessible population would be the individuals living in that region.

An element refers to a single member of the population or sample.

The target population is the population of interest that researchers aim to generalize their findings to.

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Given: mZ1= 74

Find the measures of 4, 3, 2, 8, 5, 7, and 6

It would help a lot :D

Given: mZ1= 74 Find the measures of 4, 3, 2, 8, 5, 7, and 6 It would help a lot :D

Answers

2 = 106
3 = 74
4 = 106
5 = 74
6 = 106
7 = 74
8 = 106

Katie's car averages 32 miles per hour. She has marked her distance traveled after 12, 13, and 14 hours. List the elements in the range of the function that would be used to determine how far Katie has traveled at each mark. Separate each elements from least to element with a comma and write the
greatest.

Pls hurry

Answers

Katie's distance traveled after 12, 13, and 14 hours can be calculated by multiplying her average speed of 32 miles per hour by the number of hours traveled.

So, the distance traveled after 12 hours is 32 × 12 = 384 miles.
The distance traveled after 13 hours is 32 × 13 = 416 miles.
The distance traveled after 14 hours is 32 × 14 = 448 miles.

Therefore, the range of the function that would be used to determine how far Katie has traveled at each mark is:

384, 416, 448 (from least to greatest).
Final answer:

To determine the distance traveled by Katie at different marks, we can use the formula Distance = Rate × Time.

Explanation:

To determine how far Katie has traveled at each mark, we can use the formula:
Distance = Rate × Time

After 12 hours: Distance = 32 miles/hour × 12 hours = 384 milesAfter 13 hours: Distance = 32 miles/hour × 13 hours = 416 milesAfter 14 hours: Distance = 32 miles/hour × 14 hours = 448 miles

So, the elements in the range of the function that would be used to determine how far Katie has traveled at each mark are 384 miles, 416 miles, and 448 miles.

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please answer this question

please answer this question

Answers

Domain in numerical order: {-7, -1, 0, 1}

Range in numerical order: {-1, 0, 1, 2, 7}

Which number is not part of the range of this relation? = -7

Hope this helps!

Graph g(x)=5|x -6|+2g(x)=5∣x−6∣+2g, left parenthesis, x, right parenthesis, equals, 5, vertical bar, x, minus, 6, vertical bar, plus, 2.

Answers

The graph of the absolute value function can be seen at the end of the answer. There we see a translated and dilated parent function.

How to graph the absolute value function?

Here we want to graph:

g(x) = 5*|x - 6| + 2

First, remember that the minimum of the absolute value part |f(x)| is 0, so the minimum of the above function is 2, and that happens when x = 6. That will be the vertex of our function.

From that point, we will have two lines, one that goes to the right with a slope of 5, and the other that goes to the left with slope of -5 (the coefficient that multiplies the absolute value part of the function).

The graph of the function can be seen below.

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Graph g(x)=5|x -6|+2g(x)=5x6+2g, left parenthesis, x, right parenthesis, equals, 5, vertical bar, x,

Answer:6,2 & 7,7

Step-by-step explanation:

What number is the first multiple of 5 that is greater than 17

Answers

Answer:

20

Step-by-step explanation:

Multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, etc. Each multiple is created by multiply 5 times some other number.

The first multiple of 5 that is greater than 17 is 20.

What are multiples of a number?

Multiples of a number is simply it's table.

We know 5 has a multiple of 20 which is 5 times 4 and we also know that

20 > 17.

Now the previous multiple of 5 before 20 is 15 which is not greater than 17 and 25 is also a multiple of 5 but 20 comes before 25.

So, the most appropriate multiple of 5 that is greater than 17 that is greater than 17 is 20.

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A statistician wants to determine the relationship between typing speed, in words per minute, and the time, in minutes, it takes to type one page of a specific book. Twenty-five trials are completed and the correlation coefficient between typing speed and time is determined to be -0.622. Therefore, slower typing speed was related to greater time. How is the correlation affected if the units for time are changed from minutes to seconds

Answers

The way that the correlation will be affected if the units are changed from minutes to seconds is that the correlation will still be the same.

What is correlation?

Correlation simply means a statistical measure which expresses the extent to which two variables are linearly related.

From the information, it was stated that twenty-five trials are completed and the correlation coefficient between typing speed and time is determined to be -0.622.

In this case, even when the units for time are changed from minutes to seconds, the correlation won't change. This is because the change in units has no effect on the correlation.

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Answer:

The correlation would stay the same because the change in units for time would have no effect on it.

Step-by-step explanation:

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