The correlation coefficient between the given variables is determined as 0.771 (three decimal places).
Correlation coefficient between the variablesThe correlation coefficient between the variables is calculated as follows;
[tex]r = \frac{n\Sigma xy - \Sigma x\Sigma y}{\sqrt{[n\Sigma x ^2 \ - (\Sigma x)^2][n\Sigma y^2- (\Sigma y)^2]} }[/tex]
∑xy = (40 x 6) + (29 x 5) + (108 x 11) + (35 x 7) + (62 x 14) + (50 x 10) + (8 x 2)
∑xy = 3202
n∑xy = 7(3202)
n∑xy = 22,414
∑x = 40 + 29 + 108 + 35 + 62 + 50 + 8 = 332
∑y = 6 + 5 + 11 + 7 + 14 + 10 + 2 = 55
∑x∑y = 332 x 55 = 18,260
∑x² = 40² + 29² + 108² + 35² + 62² + 50² + 8² = 21,738
n∑x² = 7(21,738) = 152,166
(∑x)² = (332)² = 110,224
∑y² = 6² + 5² + 11² + 7² + 14² + 10² + 2² = 531
n∑y² = 7(531) = 3,717
(∑y)² = (55)² = 3,025
Correlation coefficient[tex]r = \frac{22,414-18,260}{\sqrt{(152,166-110,224) (3,717 - 3025)} } \\\\r = \frac{4154}{\sqrt{29,023,864} } \\\\r = 0.771[/tex]
Thus, the correlation coefficient between the given variables is determined as 0.771 (three decimal places).
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Find the measure of angle EPH Enter your answer in the box.
Answer:
50
Step-by-step explanation:
The Outstanding O's cereal box has been redesigned with a new size and shape.
20 cm
30 cm
8 cm
How much material will it take to make the new box with no overlaps?
Answer:
Step-by-step explanation:
2(20x30)+ 2(8x30) + 2(20x8) - I > 1200 + 480 + 320= 2000 hope this helps :D
The material required for making a new cereal box with new dimensions is 2000 sq. cm. This is obtained by calculating the total surface area of the box with new dimensions.
The surface area of the cuboid:Cuboid has 6 faces (each face looks like a rectangle)To get the surface area of the cuboid, add the areas of all the 6 faces of the cuboid.For the length (L), width (W), and height (H), the surface area is given as S.A=2(LW + WH + LH). Since the area of the rectangle is L×W, adding areas of each face.Calculating the required material:It is given that,
The Outstanding O's cereal box has been redesigned with the new size and shape
The new dimensions are,
L=20 cm
W=8 cm
H=30 cm
To get the required material, the surface area of the box with new dimensions is to be calculated.
So,
S.A=2(LW + WH + LH)
=2(20×8+8×30+30×20)
=2(160+240+600)
=2(1000)
=2000 sq. cm
Therefore, the material required for the new box is 2000 sq. cm
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What is slope = 3/4 goes through the point (0,6)
Answer:
y=3/4x+6
Step-by-step explanation:
y-y1=m(x-x1)
y-6=3/4(x-0)
y-6=3/4(x)
y-6=3/4x
y=3/4x+6
Two people working together can complete a job in 5 hours. If one of them works
twice as fast as the other, how long would it take the faster one working alone?
Answer:
5 hours
Step-by-step explanation:
because he is working twice as fast which means he will get the job done faster
There are two functions that can be used to describe the percent of people 25 years and older who have completed at least high school. For both functions f(x)=0.44x + 87.5 and g(x)=0.008x^2 + 0.42x + 87.5 is the number of years since 2008, and any y (or f(x) or g(x)) is the percent of people 25 and older completing at least high school. Assume that the trend of g(x) continues. Find g(15) and describe in words what this means.
g(15)=
Answer:
[tex]g(15)=93.8\%[/tex]
see the explanation
Step-by-step explanation:
Let
x ----> the number of years since 2008,
g(x) ----> the percent of people 25 years and older who have completed at least high school
we know that
[tex]g(x)=0.008x^2+0.42x+87.5[/tex]
so
For x=15 years since 2008
substitute
[tex]g(15)=0.008(15)^2+0.42(15)+87.5=93.8\%[/tex]
That means
In the year 2023 (2008+15) the percent of people 25 and older completing at least high school will be 93.8%
Final answer:
To find g(15), we substitute x with 15 in the function g(x) = [tex]0.008x^2 + 0.42x + 87.5[/tex], yielding g(15) = 95.6%. This means that in 2023, it's projected that 95.6% of people 25 and older will have completed high school according to the given quadratic trend.
Explanation:
The student is asking for the evaluation of the function g(x) = [tex]0.008x^2[/tex] + 0.42x + 87.5 at x = 15, which represents the number of years since 2008. To find g(15), we need to substitute x with 15 in the given function:
g(15) = 0.008(15)2 + 0.42(15) + 87.5
Calculating the value step by step:
152 = 225
0.008 × 225 = 1.8
0.42 × 15 = 6.3
1.8 + 6.3 + 87.5 = 95.6
Therefore, g(15) = 95.6.
In words, this means that if the trend described by function g(x) continues, then in the year 2023 (15 years after 2008), 95.6% of people aged 25 and older will have completed at least a high school education. This is a projection of graduation rates over time.
given S (-1,8), and T (7,-9) what is the length of ST?
Answer:
ST = √353 or 18.79
I can add a step-by-step explanation if you want me to.
The length of ST is approximately 18.79 units.
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = √[(x-p)² + (y-q)²] D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
We are given that;
Points= S (-1,8), and T (7,-9)
Now,
x1=−1
y1=8
x2=7
y2=−9
Substituting these values into the formula, we get:
d=(7−(−1))2+(−9−8)2
d=(8)2+(−17)2
d=64+289
d=353
d= 18.79
Therefore, by the distance the answer will be 18.79 units.
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What is the slope of line a?
-4
4
-1/4
1/4
Answer: -1/3
1/3+-/=-1/3
How to solve systems using elimination
See explanations below on solving simultaneous equations by elimination.
Step-by-step explanation:
In solving simultaneous equations by elimination, you make one side of the variables equal and eliminate that side by either addition or subtraction, then solve the remaining variable whose value is then used in one of the equations to find the other variable. For example;
(i) 4x - 2y= 10
(ii) x+ y =4
Making the x variable part equal to eliminate x
1(4x-2y=10)--------multiply by 1
4(x+y=4) ---------multiply by 4
4x -2y =10
4x+4y=16
Apply subtraction to eliminate the x variables
0 +6y =6
6y=6
y=6/6 = 1
Use the value of y =1 in the equation x+y= 4
x+y=4
x+1=4
x=4-1 = 3
x= 3, and y=1
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Daniel is constructing a deck like the one shown. What is the area of the deck? Explain how you found the answer.
Answer:
Well if the deck was sown i would know butt... ill just give an example so if the height is 5 and the length 10 then you do 5 times 10 and get 50 A=50
Step-by-step explanation:
Answer:
119.5
Step-by-step explanation:
um....well i looked it up so yeah
What is the value of x?
Step-by-step explanation:
[tex](8x - 8) \degree \: and \: (7x + 8)\degree \: are \: \\ vertically \: opposite \: angles. \\ vertically \: opposite \: angles \: are \: \\ congruent \\ \therefore \: (8x - 8) \degree \: = \: (7x + 8)\degree \\ \therefore \: 8x - 7x = 8 + 8 \\ \huge \pink{ \boxed{\therefore \: x = 16\degree}}[/tex]
Answer:
16
Step-by-step explanation:
As the angles are vertically opposite
7x + 8 = 8x - 8
x = 16
what is 3 1/5 minus 2 1/4
Answer:
19/20
Step-by-step explanation:
3 1/5 - 2 1/4
16/5 - 9/4
64/20 - 45/20
19/20
Answer: 19/20
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
3 1/5 becomes 16/5
2 1/4 becomes 9/4
LCD = 20
Rita has n dollars yo being with. She just spent 23 dollars. Using n , write an expression for the number of dollars she has left.
Answer:
i think n-23=x
the question is worded weirdly
A 500-kilogram horse runs at 5 meters/second. The horse’s kinetic energy is (blank)joulese g = 9.8 N/kg.)
Answer:
KE = 6250 Joule.
Step-by-step explanation:
Every moving body has kinetic energy and it is given by the expression
[tex]KE = \frac{1}{2}mv^{2}[/tex]
where the moving body has m as the mass and v as the velocity.
If m is in Kg and v is in meter/sec, then KE will be expressed in Joule.
Now, in this case, m = 500 and v = 5 meter/sec.
So, [tex]KE = \frac{1}{2} \times 500 \times (5)^{2} = 6250[/tex] Joule. (Answer)
Rewrite the following in the form log(c).
log(6) – log(2)
Answer:
Step-by-step explanation:
㏒(6)-㏒(2)=㏒(6/2)=㏒ 3
The expression log(6) – log(2) in form of log(c) is log(12).
What is Logarithm?Logarithms are another way of writing exponents in mathematics. A number's logarithm with a base equals another number. Exponentiation is the inverse function of logarithm.
A logarithm is defined as the number of powers to which a number must be increased in order to obtain some other numbers. It is the simplest way to express enormous numbers.
We have to write the expression log(6) – log(2) in form of log(c).
Using product property for logarithms
log a + log b= log (ab)
Here, a= 6 and b= 2 then
ab = 6 . 2= 12
Thus, the required form of log(6) – log(2) is log(12).
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In 2000 the median home price in a certain city was about $290,000, and from 2000 to 2006, home prices in the city rose in an average of about 11.3% per year. If prices continue to rise at that rate what would be the median home price would have been in 2018? Compare to the actual median price of about $400,000 in 2018. (median home price would be approximately ____ minion in 2018.
Answer:
5000
Step-by-step explanation:
Edward works at a grocery store. He kept track of the number of coupons redeemed by the last 20 shoppers. The center of the dot plot was 1. No one redeemed 4 coupons. Most people did not redeem any coupons. Which dot plot displays this information correctly? Number of Coupons Redeemed by Each Shopper A dot plot going from 0 to 5. 0 has 8 dots, 1 has 3 dots, 2 has 3 dots, 3 has 5 dots, 4 has 0 dots, and 5 has 1 dot. Number of Coupons Redeemed by Each Shopper A dot plot going from 0 to 5. 0 has 8 dots, 1 has 2 dots, 2 has 2 dots, 3 has 5 dots, 4 has 0 dots, and 5 has 1 dot. Number of Coupons Redeemed by Each Shopper A dot plot going from 0 to 5. 0 has 8 dots, 1 has 1 dot, 2 has 3 dots, 3 has 4 dots, 4 has 0 dots, and 5 has 4 dots. Number of Coupons Redeemed by Each Shopper A dot plot going from 0 to 5. 0 has 4 dots, 1 has 7 dots, 2 has 3 dots, 3 has 5 dots, 4 has 0 dots, 5 has 1 dot.
Answer:
Around 30 coupons
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Correct on edge 2023
Round to 2 significant figures - 0.002353
Answer:
Step-by-step explanation:
The distance a car can travel in miles is modeled by the equation y=23x-6, where x represents the number of gallons of gas the car uses. If the car traveled 86 miles, how many gallons of gas did it use
Answer:
4 gallons
Step-by-step explanation:
86 = 23x -6
92 = 23x
x = 4
Answer:
4
Step-by-step explanation:
y=23x-6
86=23x-6
92=23x
x=92/23
x=4
list the sample space for odd numbers between 20 and 30
The sample space for odd numbers between 20 and 30 is {21, 23, 25, 27, 29}. These are integers that are not wholly divisible by 2.
Explanation:The sample space is a term used in mathematics, specifically in statistics and probability, to describe all possible outcomes of an experiment. In this case, the experiment is to find all odd numbers between 20 and 30. An odd number is an integer that is not exactly divisible by 2. The odd numbers between 20 and 30 are: 21, 23, 25, 27, and 29. Therefore, the sample space you are looking for is {21, 23, 25, 27, 29}.
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Choose one ASAP MARK BRAINLIEST
Answer:the answer to the question "Which of the following expressions cannot be evaluated?" is (-6)^1/2 . (A)
Answer:
The answer is “A”
Please give the person brainliest above me, she deserves it. :)
Step-by-step explanation:
hi shae
Jake paid $13.50 for admission to the country fair and bought 9 tickets to play games. If he spent a total of $36, what is the cost, c, of one ticket? Write and solve an equation.
Answer:
$2.50
Step-by-step explanation:
Jake's total expenditure is ...
total = admission + c × (number of tickets)
36 = 13.50 + 9c . . . an equation to solve
4 = 1.50 +c . . . . . . . divide by 9
2.50 = c . . . . the cost of one ticket
Each ticket cost Jake $2.50.
What is the solution to the inequality?
−4x−8>−20
A) x>−3
B) x<3
C) x>3
D) x<−3
Add 8 to both sides: -4x>-12
Divide both sides by -4: x>3
Flip the sign since we divided by a negative: x<3
So the correct answer is B
Hope this helped!
Answer:
The answer is B
Step-by-step explanation:
The was done, I did the question and it is right.
It takes 23 minutes for 6people to paint 6 walls.
How many minutes does it take 9people to paint 9walls
It would take 9 people 34.5 minutes to paint 9 walls.
23 divided by 6 equals 3.83. That is how many minutes it takes one person to paint one wall. Multiply 3.83 by 9 and you get your answer, 34.5 minutes.
Which is a common denominator of 1/4 and 3/5 ?
A. 9
B. 15
C. 16
D. 20
I WILL MARK BRAINLIST IF CORRECT !! :)
Answer:
D
Step-by-step explanation:
5*4=20
4*5=20
Which shows all the like terms in the expression?
4 x minus 3 + 7 x + 1
–3 and 1; 4x and –3
–3 and 1; 4x and 7x
4x and 1; 7x and –3
4x and –3; 1 and 7x
Answer:
The answer is B
Step-by-step explanation:
–3 and 1; 4x and 7x
The Like terms of the given expression are 4x and 7x ; -3 and 1.
What are like terms?Those terms which have the same variables are raised with the same power.
For example, 5t^3 and 6t^3 are like terms since the variable is same, and it is raised to the same power 3.
Given expression;
4 x - 3 + 7 x + 1
Like terms are;
4x and 7x
-3 and 1
Thus, option C is correct.
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Dave works for 5 hours double time and he earns $98 find his normal hourly year rate
Answer: $9.8 per hour
Step-by-step explanation:
If Dave works for 5 hours at double time, then he gets paid for 10 hours of work. If he earned $98 for 10 hours of work, all you need to do is divide the amount of money earned by the hours of work. [tex]\frac{98}{10}[/tex]=9.8 dollars per hour.
Typically, what percentage of the home cost should you have available for a down payment? 5%, 50%, 25%, 30%
Answer:
25%
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
I had this question on a test and i made an 100%
The school marching band has a budget of up to $750 to cover 15 new uniforms and
competition fees that total $300. How much can they spend for one uniform?
a.
Write an inequality to represent this situation.
b.
Solve the inequality and describe what it means in the situation.
a. The inequality 15x+300≤750 represents the situation.
b. It means that the band can spend at most $30 on each uniform without exceeding the budget.
Step-by-step explanation:
Given,
Budget = $750
Competition fee = $300
Uniforms to make = 15
Let,
x be the amount for each uniform.
a. Write an inequality to represent this situation.
Uniforms to make * Cost per uniform + Competition ≤ Budget
15x+300 ≤ 750
The inequality 15x+300≤750 represents the situation.
b. Solve the inequality and describe what it means in the situation.
[tex]15x+300\leq 750\\15x+300-300\leq 750-300\\15x\leq 450[/tex]
Dividing both sides by 15
[tex]\frac{15x}{15}\leq \frac{450}{15}\\x\leq 30[/tex]
It means that the band can spend at most $30 on each uniform without exceeding the budget.
Keywords: inequality, division
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The inequality representing this situation is 15x + $300 <= $750. Solving for x gives x <= $30
The student is interested in determining how much the school marching band can spend on each new uniform given a specific budget constraint. To represent this situation, we need to establish an inequality.
Writing the inequality-
Let's denote the cost of one uniform as x. With 15 uniforms needed and competition fees totalling $300, the inequality that represents the budget situation is:
15x + $300 <= $750
Solving the inequality-
To solve for x, subtract $300 from both sides of the inequality:
15x <= $450
Next, divide both sides by 15:
x \<= $30
This means that they can spend at most $30 for each uniform. The inequality tells us the maximum spending cap for one uniform, ensuring the total cost for all uniforms plus competition fees does not exceed the available budget of $750.
Skyler is 104 miles away from Marcus. They are traveling towards each other. If Marcus travels 8 mph faster than skyler and they meet after 4 hours, how fast was each traveling?
Speed of skyler is 204 mph and speed of marcus is 212 mph
Solution:
Skyler is 104 miles away from Marcus
Therefore,
Distance = 104 miles
They meet after 4 hours
Time taken = 4 hours
Let "x" be the speed of sklyer
Marcus travels 8 mph faster than skyler
Therefore,
Speed of marcus = 8 + x
They are traveling towards each other
Since they are traveling towards each other, we can add up their speeds
Speed = x + 8 + x = 2x + 8
The distance is given by formula:
[tex]distance = \frac{speed}{time\ taken}\\\\104 = \frac{8+2x}{4}\\\\104 \times 4 = 8 + 2x\\\\8 + 2x = 416\\\\2x = 416-8\\\\2x = 408\\\\x = 204[/tex]
Thus speed of skyler = x = 204 mph
Speed of marcus = 8 + x = 8 + 204 = 212 mph
Thus speed of skyler is 204 mph and speed of marcus is 212 mph
diane walked her dog 4/10 of a mile in 5 days this week. how far did diane walk her dog this week?
Answer:
.56 miles or 56/100 of a mile
Step-by-step explanation:
5 days = 4/10 = .4
7 days = ?
.4 / 5 * 7 = .56
.56 miles or 56/100 of a mile
Diane walked her dog 4/10 of a mile each day for 5 days. By multiplying the daily distance by the number of days, we determine that Diane walked a total of 2 miles with her dog over the week.
To determine how far Diane walked her dog over the 5 days, we need to calculate the total distance by multiplying the daily distance by the number of days she walked her dog. Diane walked her dog 4/10 of a mile each day for 5 days.
Here's how you can calculate the total distance:
Multiply the daily distance by the number of days.
So, 4/10 mile/day imes 5 days = 2/1 miles.
Therefore, Diane walked a total of 2 miles with her dog over the 5 days.