The linear correlation coefficient r is **1.2237445080439002**.
To calculate the linear correlation coefficient r, we can use the following formula:
[tex]r = (\sum(x - \bar x)(y - \bar y)) / \sqrt(\sum(x - \bar x)^2 \sum(y - \bar y)^2)[/tex]
where:
* [tex]\sum[/tex] is the sum of the values
* [tex]\bar x[/tex] is the mean of x
* [tex]\bar y[/tex] is the mean of y
First, we need to calculate the mean of x and y:
[tex]\bar x[/tex] = (4 + 53 + 86 + 162) / 4 = 71.25
[tex]\bar y[/tex] = (-5 - 1 + 13 + 16) / 4 = 5.75
Next, we need to calculate the sum of the squared deviations from the mean for x and y:
[tex]\sum(x - \bar x)^2 = (47.25^2 + 17.25^2 + 14.25^2 + 90.75^2) = 10148.5[/tex]
[tex]\sum(y - \bar y)^2 = (11.25^2 + 6.75^2 + 7.25^2 + 10.25^2) = 317.5[/tex]
Now, we can calculate the linear correlation coefficient r:
[tex]r = (\sum(x - \bar x)(y - \bar y)) / \sqrt(\sum(x - \bar x)^2 \sum(y - \bar y)^2)[/tex]
r = (47.25 * 11.25 + 17.25 * 6.75 + 14.25 * 7.25 + 90.75 * 10.25) / √(10148.5 * 317.5)
r = 1.2237445080439002
Therefore, the linear correlation coefficient r is **1.2237445080439002**.
This value indicates a strong positive correlation between x and y.
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Rachel invites thirty guests to her party, and she wants to provide party gifts for her guests. She represents the relationship between guests (x) and the number of party gifts (y) using different representations. If the patterns in the table and graph continue, which item would she need the most of for 30 people? granola bars toy cars miniature figurines
Answer:it’s granola bars
Step-by-step explanation:
Rachel would need the most toy cars for 30 people.
Explanation:If the patterns in the table and graph continue, Rachel would need the most toy cars for 30 people.
From the table, we can see that for every 10 guests, the number of party gifts is increasing by 5. So, for 30 guests, the number of party gifts would be 25.
From the graph, we can see that the number of guests is increasing linearly with a slope of 0.5. If the pattern continues, for 30 guests, the number of party gifts would be 25.
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what is the sum of -6 and 9
Answer:
the answer is 3
Step-by-step explanation:
Find the limit of the sequence of partial sums whose general term is [tex]a_n=\frac{100^n}{n!}[/tex]
10
1
DNE
0
I am torn between the limit not existing and it being = 0.
Thank you so much.
Answer:
0
Step-by-step explanation:
If ∑aₙ converges, then lim(n→∞)aₙ = 0.
Using ratio test, we can determine if the series converges:
If lim(n→∞) |aₙ₊₁ / aₙ| < 1, then ∑aₙ converges.
If lim(n→∞) |aₙ₊₁ / aₙ| > 1, then ∑aₙ diverges.
lim(n→∞) |(100ⁿ⁺¹ / (n+1)!) / (100ⁿ / n!)|
lim(n→∞) |(100ⁿ⁺¹ / (n+1)!) × (n! / 100ⁿ)|
lim(n→∞) |(100 / (n+1)|
0 < 1
The series converges. Therefore, lim(n→∞)aₙ = 0.
how many meters longer is 3 meters than 3 yards
Answer:
0.2568 mStep-by-step explanation:
How many meters longer is 3 meters than 3 yards?
Yard to meter
1 yard = 0.9144 mThe difference:
3 meters - 3 yards = 3*( 1 - 0.9144) m =0.2568 mAnswer:
0.279
Step-by-step explanation:
3 meters = 3.279 yards
~Subtract to find the difference
3.279 - 3 = 0.279
As you can see, 3 meters if larger than 3 yards.
Best of Luck!
Find the mean for this data set: 19, 12, 9, 6, 12, 8, 18, 12, 14, 10
Answer:
12
Step-by-step explanation:
To find the mean, we add up all the numbers and divide by the number of numbers
(19+ 12+9+ 6+ 12+ 8+ 18+ 12+ 14+ 10)/10
120/10
12
Answer:
the mean to this problem is 12
Step-by-step explanation:
19+2+9+6+12+8+18+12+14+10= 120
120/10=
12
My first step will be to change the operator to multiplication and
reciprocate the second fraction when... *
O
A Adding
O
B Multiplying
O
c Subtracting
O
D Dividing
Answer: D. Dividing
Step-by-step explanation:
When we divide a number ( whether fraction or not ) by a fraction, then we first change the operator to multiplication and reciprocate the second fraction.
Let's take an example:
Suppose we have h division problem in fraction as [tex]\dfrac{2}{3}\div\dfrac{4}{9}[/tex]
Then, our first step would be to change division operator (÷) by multiplication operator (×) and then ×reciprocate the second fraction , so the next step will become [tex]\dfrac{2}{3}\times\dfrac{9}{4}[/tex] , Now cancel out 3 and 2 from both numerator and denominator , we get
[tex]\dfrac{1}{1}\times\dfrac{3}{2}=\dfrac{3}{2}[/tex]
i.e. [tex]\dfrac{2}{3}\div\dfrac{4}{9}=\dfrac{3}{2}[/tex]
Hence, the correct option is "D. Dividing".
The first step which involves changing the operator to multiplication of the reciprocal of the second fraction is when dividing.
How to be divide fractionIf given
5/2 ÷ 1/2
The first step is to multiply with the reciprocal of the second fraction
= 5/2 × 2/1
= (5 × 2) / (2 × 1)
= 10/2
= 5
Therefore, when dividing fraction, we multiply with the reciprocal of the second fraction.
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Kevin is making a picture frame. He has a piece of trim that is 3 feet long.
How many 14−inch-long pieces can Kevin cut from the trim?
How much of a foot will he have left over?
Kevin can cut 14−inch-long pieces with of a foot left over.
Kevin can cut approximately 2 pieces of 14-inch-long trim from his 3-foot-long trim, with about 0.66667 feet left over.
To find out how many 14-inch-long pieces Kevin can cut from a 3-foot-long trim, we need to convert everything to the same unit. Since Kevin's trim is given in feet, we need to convert inches to feet to make the comparison easier.
[tex]1 foot = 12 inches[/tex]
So, 14 inches is equal to:
[tex]\[14 \text{ inches} \times \frac{1 \text{ foot}}{12 \text{ inches}} = \frac{14}{12} \text{ feet}\][/tex]
[tex]\[= 1.16667 \text{ feet}\][/tex]
Now, we can find out how many 14-inch-long pieces Kevin can cut from the 3-foot-long trim:
[tex]\[ \text{Number of pieces} = \frac{\text{Length of trim}}{\text{Length of each piece}} \][/tex]
[tex]\[ \text{Number of pieces} = \frac{3 \text{ feet}}{1.16667 \text{ feet}} \][/tex]
[tex]\[ \text{Number of pieces} \approx 2.571 \][/tex]
Now, let's find out how much of a foot will be left over:
[tex]\[ \text{Leftover} = \text{Length of trim} - (\text{Number of pieces} \times \text{Length of each piece}) \][/tex]
[tex]\[ \text{Leftover} = 3 \text{ feet} - (2 \times 1.16667 \text{ feet}) \][/tex]
[tex]\[ \text{Leftover} = 3 \text{ feet} - 2.33333 \text{ feet} \][/tex]
[tex]\[ \text{Leftover} \approx 0.66667 \text{ feet} \][/tex]
Complete correct question:
Kevin is making a picture frame. He has a piece of trim that is 3 feet long.
How many 14-inch-long pieces can Kevin cut from the trim?
How much of a foot will he have left over?
Kevin can cut ______ 14-inch-long pieces with ______ of a foot left over.
A set of art exam scores are normally distributed with a mean of
81 points and a standard deviation of 10 points. Calvin got a score of 78 on
the exam.
What percentage of exam scores are lower than Calvin's score?
a) 61.79%
b) 65.17%
c) 34.83%
d) 38.21%
Answer:
The percentage of people that scored less than Calvin is 38.21 %
Step-by-step explanation:
In this question, we are concerned with calculating the percentage of exam scores lesser than what Calvin scores.
To calculate this, we first need to calculate the standard score or the z-score of Calvin result.
Mathematically;
z = (x - mean)/SD
from the question, x = 78, mean = 81 and SD = 10
Substituting this, we have
z = (78 -81)/10 = -3/10 = -0.3
So we proceed to calculate the probability.
P(x < 78) or P(z < -0.3)
We make use of the standard table to get this probability
P(z< - 0.3) = 0.38209
In percentage, this is same as 38.209% or more simply 38.21%
Solve the equation 1 4 (16 + 12x) = 28 by first using the distributive property. The equivalent equation is found by distributing the One-fourth to get . The first step is . The second step is . The answer is .
Answer:
The equivalent equation is found by distributing the 1/4 to get 4 + 3x = 28
The first step is subtract 4 to both sides.
The second step is divide both sides by 3.
The answer is x = 8.
Step-by-step explanation:
Answer:
Divide by 1/4
Subtract
Divide
8
Step-by-step explanation:
can you give me an explanation on why one of them doesn’t belong, it will mean a lot to me if you do!
Answer:
the top righ andt doesn't belong to each other because the first antenna is at the left. equal means it needs to have a connection or its have to be absolutely the same. in this case the equal picture is not the same
What is 2.85 to the nearest hundredth I ready
Answer: 2.85
Rounded to the nearest 0.01
2.85 rounded to the nearest hundredth is 2.85
Answer:
2.9
Step-by-step explanation:
what is the area of a room that is 3 3/4 yards long and 3 1/3 yards wide
Answer:
12 1/2 yd^2
Step-by-step explanation:
The area is length times width
A = 3 3/4 * 3 1/3
Change to improper fractions
A = 15/4 * 10/3
Rewriting
A = 15/3 * 10/4
= 5 * 5/2
= 25/2
Changing back to a mixed number
= 12 1/2
Answer:
12½ yards²
Step-by-step explanation:
Area = length × width
Area = 3¾ × 3⅓
= 15/4 × 10/3
= 25/2
= 12½ yards²
What is the first operation performed in the arithmetic solution and in solving the equation ?
Answer:
Calculating the numbers inside parentheses is first according to the order of operations.
Step-by-step explanation:
Order of operations
A flat screen television cost 1306.62 A monthly fee of $5.50 is added if it is paid in Installments Marisa Will pay for the television over 18 months how much will she pay each month
Joel needs 785 tickets to get the prize he wants at the arcade. He already has 284 tickets and can earn 35 tickets each time he plays an arcade game. How many games will he have to play in order to have enough tickets to win the prize he wants?
Answer:14
Step-by-step explanation:
Final answer:
Joel must play at least 15 games to earn the remaining 501 tickets he needs for the prize at the arcade, after subtracting the 284 tickets he already has from the total 785 required.
Explanation:
Joel needs to accumulate a certain number of tickets to win a prize at the arcade. We can approach this problem by calculating the total number of tickets he still needs and then dividing that number by the amount of tickets he can earn per game.
Step-by-Step Calculation:
First, find out how many tickets Joel is short of the prize by subtracting the tickets he already has from the total number of tickets needed: 785 - 284.Second, calculate how many games he needs to play by taking the remaining number of tickets and dividing it by the number of tickets he earns per game, which is 35.Let's execute these steps:
Joel needs 785 tickets and has 284 tickets. So, the number of tickets he still needs is 785 - 284 = 501 tickets.To find out how many games he needs to play, we divide the tickets he needs by tickets per game: 501 / 35. This gives us approximately 14.31, which means Joel needs to play at least 15 games to earn enough tickets, since he cannot play a fraction of a game.Find the zeros: 5w=35
Answer:
w=7
Step-by-step explanation:
Answer:
I want brainliest
Step-by-step explanation:
5w=35
w=7
please help me out on this!
a bullet fired from a gun traveled 3,600 m south in 6.0 seconds. What was its velocity in (a) m/sec and (b) km/hour?
Step-by-step explanation:
Velocity = Displacement/Time
a) Velocity in m/s = 3600m/6s
= 600m/s
b) (Converting m into km)
1000m = 1km
3600m = ?
3600/1000 = 3.6km
(Converting secs to hours)
1mins = 60secs
60mins = ?
60 * 60 = 3600 secs
This means there are 3600 secs in 1 hour
3600secs = 1hour
6.0 secs = ?
6.0/3600 = 0.00167 hours (approximately)
Velocity in km/h = 3.6km/0.00167h
= 2155.69km/h (approximately)
In summary...
a) 600m/s
b) 2155.69km/h
The bullet's velocity is 600 meters per second (m/s) and also 2,160 kilometers per hour (km/h), calculated by dividing the distance traveled by the time taken and converting the units accordingly.
To find out the bullet's velocity in meters per second (m/s), you'll need to use the formula for velocity which is distance traveled divided by the time taken. Here, the bullet traveled 3,600 meters in 6.0 seconds.
Velocity in m/s = Distance / Time
Velocity in m/s = [tex]\frac{3600}{6}[/tex]
Velocity in m/s = 600 m/s
For velocity in kilometers per hour (km/h), first convert meters to kilometers by dividing by 1,000 and then convert seconds to hours by dividing by 3,600 (the number of seconds in an hour).
Velocity in km/h =[tex]\frac{ (Velocity in m/s x 3,600) }{1000}[/tex]
Velocity in km/h = [tex]\frac{(600 m/s x 3,600) }{1000}[/tex]
Velocity in km/h = 2,160,000 / 1,000
Velocity in km/h = 2,160 km/h
Therefore, the bullet's velocity is 600 m/s and 2,160 km/h.
What is the area of this composite figure?
2 trapezoids. Both trapezoids have base lengths of 210 millimeters and 150 millimeters, and a height of 55 millimeters.
8,250 millimeters squared
9,900 millimeters squared
11,550 millimeters squared
19,800 millimeters squared
Answer:
9,900 millimeters squared
Step-by-step explanation:
The area of the composite figure having bases 210mm, 150mm and height 55mm is ; 19800 millimeters squared.
What is a trapezoid?A trapezoid is a quadrilateral with one pair of parallel sides.
Analysis:
Area of a trapezoid = 1/2(a + b )h
where a = small base, b = big base and h = height
From given data: a = 150mm, b = 210mm, h = 55mm
Area of trapezoid = 1/2(150+210) x 55 = 9900[tex]mm^{2}[/tex]
For the two trapezoids = 2 x 9900 = 19800[tex]mm^{2}[/tex]
In conclusion, the area of the two trapezoids is 19800[tex]mm^{2}[/tex]
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what is the value of sin C?
¿Cuál es el area de un círculo con un diámetro de 5 pulgadas a la décima más cercana ?
Answer:
19.6 o 2.5π
Step-by-step explanation:
la fórmula para el área del círculo es A = πr ^ 2
What is 5(x-6)+2=7x-6
Answer:
x = -11
Step-by-step explanation:
[tex]5(x-6)+2 = 7x-6\\5x -30 +2 = 7x - 6\\5x -28 = 7x -6 \\5x - 28 + 6 = 7x -6 +6 \\5x -22 = 7x\\5x -5x -22 = 7x - 5x\\-22 = 2x\\-22 / 2 = 2x / 2\\-11 = x[/tex]
Given CS = 3, SB = 6, CR = 4, and RA = x. What must the value of x be in order to prove SR II BA? Justify your answer.
UPLOAT
Answer:
4, because CR and RA are the same length
Answer:
Just cross muiltiply
Step-by-step explanation:
3 4
- - = 8 (POP Theorem)
6 x
Converse of Theorem 5-6: If a line divides two sides of a triangle proportionally, it is parallel to the third side.
You're welcome Ody$$eyware
for which value of x would this model make the least sense to use?
Answer: A. -2.75
Step-by-step explanation: I took the test on edge
let f(x) = 4x - 5 ; g(x) = 6x - 3
find 2f(x) + 3g(x)
select the correct response:
1. 8x - 13
2. 10x + 1
3. 26x - 19
4. -24x -21
Answer:
the answer is 3: 26x-19
Step-by-step explanation:
f(x)=4x-5 g(x)=6x-3
2f(x)+3g(x)
=2*(4x-5)+3*(6x-3)
=8x-10+18x-9
26x-19
help Evaluate: -18 + 4(6 ÷ 2)^2
Answer:
18
Step-by-step explanation:
6 divided by 2 is 3, 3 to the power of 2 is 9, 9 times 4 is 36, 36 plus -18 is 18.
Answer:
18
Step-by-step explanation:
-18 + 4(6 ÷ 2)^2
PEMDAS says parentheses first
-18 + 4(3)^2
Then exponents
-18 + 4*9
Then multiply and divide
-18 +36
Then add and subtract
18
Brandon estimates that he will need $18,000 each year to attend a 4-year college. His family can pay $5,000 a year. And he can get a student loan for $10,000 each year. If he saves $250 a month, how many months will it take him to save the rest of the money he will need for college?
Answer:
48 months
Step-by-step explanation:
Brandon estimates that he will need $18,000 each year to attend a 4-year college.
His family can pay $5,000 a year and he can get a student loan for $10,000 each year.
This means that, each year, $15000 out of the $18000 has been covered. That is the sum of the money from his parents and the loan:
$5000 + $1000 = $15000
That means the amount he still needs to cover per year is:
$18000 - $15000 = $3000
In 4 years, he will need to cover:
4 * $3000 = $12000
He saves $250 a month. Therefore, the number of months he will need to save $12000 is:
[tex]\frac{12000}{250} = 48 months[/tex]
He will need to save for 48 months to save the rest of the money he will need for College.
Answer: It will take him 48 months.
Step-by-step explanation:
Hi, to answer this question we have to write an equation:
the amount his family can pay per year (5000) multiplied by 4 (since is a 4 year college) ; plus the amount of the loan he gets per year (1000) also multiplied by 4 ; plus the amount he saves per month (250) multiplied by the number of months (m) must be equal to the amount he will need per year for college (18000) multiplied by 4.
Mathematically speaking
18000 x 4 = (5000 x 4) + (10000x 4) + 250 m
Solving for m
72000= 20,000+ 40,000+ 250m
72,000-20,000-40,000 = 250m
12,000= 250m
12,000/250 = m
48 =m
Feel free to ask for more if needed or if you did not understand something.
how do you read 0.034 out loud
Answer:
Zero and thirty four thousandths
Step-by-step explanation:
.help.me.im.really.lazy.
Answer:
[tex]1 \frac{1}{6} [/tex]
Step-by-step explanation:
[tex]7 \div 6 \\ = 1.167 = 1 \frac{1}{6} [/tex]
Two standard 6 sided dice are rolled. One is purple and one is green. What is the probability that sum of the two dice on a roll is 7 given that the purple die for that roll landed on 6?
P(Sum of the dice is 7 | Purple Die Landed on 6)
The probability that the sum of two dice is 7 given that the purple die landed on 6 is 1/6, as only one outcome from the green die (rolling a 1) will achieve this sum.
Explanation:The question is about calculating the conditional probability of rolling a sum of 7 on two dice, given that the purple die has already landed on 6. Since we know the outcome of the purple die, we only need to determine the probability that the green die will land on a 1 to make the sum 7 (6 from the purple die and 1 from the green die).
There are 6 possible outcomes when rolling a six-sided die. Since only one of these outcomes (rolling a 1) will result in the sum of 7 when the purple die is a 6, the conditional probability is 1/6.