Answers
Answer:
(a) r = -0.947928522
(b) strong, negative
Step-by-step explanation:
The Product Moment Correlation Coefficient (r) measures the strength of the linear correlation between two variables.
The PMCC is always between +1 and -1.
The closer the value of r is to +1 or -1, the stronger the correlation between the two variables.
Values close to +1 mean a strong, positive correlation.Values close to -1 mean a strong, negative correlation.Values close to zero mean a weak correlation.Inputting the data from the table into a calculator and using the statistical function:
r = -0.947928522
As the value of r is close to -1, the best description for the correlation would be strong, negative
Related Questions
Complete part (a) and part(b) given the following system of equations. I really need help!!!
x-y=0
2x+3y=-5
a) Solve this system graphically.
b) Write your answer
Answers
Answer:
x=−1 and y=−1
Step-by-step explanation:
Solve by substitution
x−y=0;2x+3y=−5
Step: Solve x−y=0 for x:
x−y+y=0+y(Add y to both sides)
x=y
Step: Substitute yfor x in 2x+3y=−5:
2x+3y=−5
2y+3y=−5
5y=−5(Simplify both sides of the equation)
5y/5=−5/5 (Divide both sides by 5)
y=−1
Step: Substitute−1 for y in x=y:
x=y
x=−1
Answer:
x=−1 and y=−1
The solution to the system is x = -1.8 and y = -1.8.
What is a system of equations?A group of two or more equations that must be solved simultaneously make up a system of equations. There are many unknown variables in a system of equations, and each equation in the system depicts the relationship between those variables.
A set of variable values that satisfy every equation in a system of equations is the solution to the system of equations.
To solve this system of equations graphically, we can plot the two equations on a coordinate plane and find the point where they intersect, which represents the solution to the system.
a) To plot the equation x - y = 0, we can rearrange it to y = x and plot the line passing through the origin and the point (1, 1), as shown below:
Graph of the line y = x passing through the origin and the point (1, 1).
To plot the equation 2x + 3y = -5, we can rearrange it to y = (-2/3)x - 5/3 and plot the line passing through the points (-2, 1) and (1/3, -5/3), as shown below:
Graph of the line y = (-2/3)x - 5/3 passing through the points (-2, 1) and (1/3, -5/3).
b) The point where the two lines intersect is the solution to the system. From the graph, we can see that this point is approximately (-1.8, -1.8).
Therefore, the solution to the system is x = -1.8 and y = -1.8.
To know more about the system of equations follow
https://brainly.com/question/13729904
#SPJ2
Kira's purple scarf is 3 1/2 feet long. Her red scarf is 1 1/3 times as long as her purple
scarf. How many feet long is Kira's red scarf?
Answers
Answer:
4.55 or 4.7 depending on how you round
Step-by-step explanation:
3 1/2=3.5
1 1/3= 1.3
3.5x1.3=4.55
Watch help video
Kaylee owns a small business selling clothing. She knows that in the
last week 3
customers paid cash, 21 customers used a debit card, and 46 customers used a credit
card.
Based on these results,
debit card as a
express the probability that the next customer will
pay with
Answers
The probability the next customer pays using a debit card based on the last three weeks is 30% or 0.3.
What is a probability?This is the chance or likelood for an event to occur. For example, if in a city it has snowed every year on December 25th, there is a high probability it will snow this year and in the next years.
How to calcuate the probability?Total of a specific outcome/ total of outcomes
Based on this, let's calculate the probability the next customer pays using the debit card:
Total that pay with debit card: 21 customersTotal of customers: 70 customers21/ 70 =0.3 or 30%Learn more about probability in: https://brainly.com/question/11234923
#SPJ1
Shaniece was given a large box of 48 chocolates for her birthday. If she eats exactly 3 chocolates each day, how many chocolates would Shaniece have remaining 5 days after her birthday?
Answers
Answer:
33 chocolates
Step-by-step explanation:
3 chocolates times 5 days = 15 chocolates
48 chocolates minus 15 chocolates = 33 chocolates
Need help with 7 and 8
Answers
Answer:
see explanation
Step-by-step explanation:
The tangent segments are equal so you set them equal to each other and solve.
7) 3x-6 = x + 10 8) 4x + 2 = 2x + 8
(t divide 3) + 1= 5 + 1
Answers
Answer:
t=15
Step-by-step explanation:
t/3 + 3/3 = 6
combine fractions w/ common denominator:
t+3/3 = 6
multiply both sides by denominator (3):
note: the two threes from 3 x t+3/3 cancel each other out
t+3=3x6
t+3=18
subtract 3 from both sides and you get 15
t=15
hope this helps :)
need help please!!!!!!
Answers
PLEASE ANSWER QUICKLY Which of the following is the correct graph of the compound inequality 4p + 1 > -15 and 6p + 3 < 45?
o
7
-7 -6 -5
-3 -2 -1
0
1
2
3
4
5
6
8
9 10 11
O
-7 -6 -5 -4
O
7
-3 -2 -1
0
1
2
3
4
5
6
8
9 10 11
-7 -6 -5 -4 -3 -2 -1
0
1
2
3
4
5
6
7
8
9 10 11
- 7 -6 -5 -4 -3 -2 -1
0 1 2
3
4
5
6
7
8
9 10 11
Answers
Answer:
abce
Step-by-step explanation
correct
-
(3/4)+1 7/8 divided by 1/2 =n
Answers
Answer:
n=1.3125/ if the (3/4) was negative the anwser would be -1.3125
Step-by-step explanation:
Answer:
n = [tex]5\frac{1}{4}[/tex]
----------------------------------------------------------------------------------------------------------
First, evaluate 3/4 + 1 7/8 without including whole numbers for now.[tex]3/4 + 7/8 =~?[/tex]
When dealing with unequal fraction denominators, find the greatest common factor of both numbers to make the denominators match.
[tex]GCF(3,4) = 2\\GCF(7, 8) = 1\\\\\frac{3 * 2}{4 * 2} = \frac{6}{8}\\\\\frac{7 * 1}{8 * 1} = \frac{7}{8}[/tex]
Next, add these two numbers together.
[tex]\frac{6}{8} + \frac{7}{8} = \frac{13}{8}[/tex]
Oh no! It looks like we have an improper fraction. To solve this, count each time the numerator passes the denominator and count that as a whole number. Like 9/8 is 1 1/8 because the numerator went over the denominator 1 time, counting the extra unit fraction.
[tex]\frac{13}{8} = 1\frac{5}{8}[/tex]
Now, add the whole numbers.
[tex]1 + 1 + \frac{5}{8} = 2\frac{5}{8}[/tex]
Last not not least, divide by one half. Since 2 5/8 is equal to 21/8, convert it to this fraction.
[tex]\frac{21}{8} / \frac{1}{2}[/tex]
Use the 2 in 1/2 and the 1 in 1/2, then multiply 2 by 21, and 8 by 1
[tex]\frac{21*2}{8*1} = \frac{42}{8}[/tex]
Finally, simplify 42/8
if 8 × 5 is 40 you can tell the number will be close to 40
[tex]\frac{42}{8} = 5\frac{1}{4}[/tex]
That said, the answer is [tex]\frac{42}{8}[/tex] and also [tex]5\frac{1}{4}[/tex]
Peyton is walking her dog, Willow, on a local trail and the dog falls 153 feet down a ravine! Payton is overcome with emotion and needs your help to save her dog. You can repel down and successfully rescue Willow, but you must calculate how much rope is needed.
The ravine is 153 feet deep the repel line will be the diagonal distance from the top of the ravine to Willow The anchor and repel line form a 35 degree angle; this is angle A in the image below.
(a) Calculate the length of the repel line using one of the 3 trigonometry ratios taught (sin, cos, tan) Round your answer to the nearest whole number. Show all needed math for calculating this length.
Answers
The length of the repel line using one of the 3 trigonometry ratios will be 186.78 feet.
How to calculate the length?From the information given, Peyton is walking her dog, Willow, on a local trail and the dog falls 153 feet down a ravine.
The length will be calculated thus:
Cos 35° = 153/AC.
AC = 153/cos 35°
AC = 153/0.819
AC = 186.78 feet.
Therefore, the length is 186.78 feet.
Learn more about length on:
https://brainly.com/question/2217700
m∠A= 81∘; m∠B = 109∘ Are the two angles complementary, supplementary, or neither?
Answers
Answer:
neither
Step-by-step explanation:
complementary means the angles should add up to 90∘ but here in this case they add up to 190.
Supplementary means the angles add up to 180∘ but again in this case they don't.
which means the answer only has one choice.
A graph has the two points (2, 110) and (4, 220). What is the rate of change?
Answers
Answer:
55
Step-by-step explanation:
220-110
110/2=55
For f(x)= 2x + 1 and g(x) = x^2 - 7, find (f+g)(x).
Answers
Answer:
x^2+2x-6, or C
Step-by-step explanation:
We want to combine the values of both f(x) and g(x) into one equation.
We could write this as 2x+1+x^2-7
Simplified- x^2+2x-6, or C
A circle with a radius of 6 m has an arc of 4 pi m. What is the measure of the centra angle?
Answers
Answer: Since the arc length is given (4 ) and the radius is given (6), the central angle can be found
Arc Length = theta * r
4 pi = theta * 6 Divide by 6
4 pi / 6 = theta
theta = (2/3) pi
Step-by-step explanation:
Given that f(x) = 3x + 3 and g(x)=x2- 2x-5, find (g of)(4).
(gof)(4)=0
(Simplify your answer. )
Answers
Answer:
-5=0
Step-by-step explanation:
g(4)=8-8-5=-5 you substitute 4 into x
-5=0
What is the value of the expression
below when a
8, b = 16, and c = -4 ?
Answers
Answer:
35
Step-by-step explanation:
5*³√8-（-4）*√16+9=5*2+4*4+9=35
factor the following expression
[tex]16x^{2} - 25[/tex]
Answers
[tex]16x^2-25\\\\=(4x)^2-5^2\\\\=(4x+5)(4x-5)[/tex]
Solve for m. Please Help!
Answers
Answer:
m = 39°
Step-by-step explanation:
angles on the circumference of the circle subtended by the same arc are congruent.
∠ BDC = ∠ BAC = 33° ( both subtended by arc BC )
then ∠ ADC = 36° + 33° = 69°
Opposite angles of a cyclic quadrilateral sum to 180° , so
∠ ABC = 180° - 69° = 111°
then
m + 72° = 111° ( subtract 72° from both sides )
m = 39°
will give brainliest, thanks in advance!!
Answers
Answer:
-3+15i
Step-by-step explanation:
Apply complex arithmetic rule: [tex]\left(a+bi\right)\left(c+di\right)=\left(ac-bd\right)+\left(ad+bc\right)i[/tex]
[tex]\left(-3\cdot \:3-3\left(-2\right)\right)+\left(-3\left(-2\right)+3\cdot \:3\right)i[/tex]
-3 * 3 -3 (-2) = -3
[tex]-3+15i[/tex]
At Ashley Furniture Store, there is a marble table that you want to
purchase for your mother. The length of the table is (-8x+2) and the width
of your rug is (3x-4). What is the total area of the table? Solve the
problem using the best method. Write the answer as a trinomial.
Answers
Step-by-step explanation:
in my opinion
total area = the width × the length
= (3x-4)(-8x+2)
= -24x²+6x+32x -8
= -24x² + 38x -8
write 1 1/3 as a percent
Answers
Answer:
1.3
Step-by-step explanation:
⅓ put into to decimal form is a repeating decimal
Answer:
133.3333333%
Step-by-step explanation:
1 = 1.00 = 100%
1/3 = 0.3333333 = 33.33333333%
Note that the extra 3s are for repeating decimals.
In terms of π, what is the volume of the sphere?
Answers
[tex]v = \frac{4}{3} \pi \: {r}^{3} \\ [/tex]
[tex]v = \frac{4}{3} \times \pi \times ({ \frac{60}{2} })^{3} \\ [/tex]
[tex]v = \frac{4}{3} \times \pi \times {30}^{3} \\ [/tex]
[tex]v = \frac{27000 \times 4}{3} \pi \\ [/tex]
[tex]v = 900 \times 4\pi[/tex]
[tex]v = 3600\pi \: \: \: {ft}^{3} [/tex]
if x=15 degrees and the measure of Arc YZ is 3 centimeters, what is the circumference of the circle?
A- 24
B- 45
C- 60
D- 72
Answers
First, let’s find the fraction of the circle’s circumference our arc length is. The whole circle is 360°. Let’s say our part is 72°. We make a fraction by placing the part over the whole and we get 72360, which reduces to 15. So, our arc length will be one fifth of the total circumference. Now we just need to find that circumference.
The circumference can be found by the formula C = πd when we know the diameter and C = 2πr when we know the radius, as we do here. Plugging our radius of 3 into the formula, we get C = 6π meters or approximately 18.8495559 m.
Now we multiply that by 15 (or its decimal equivalent 0.2) to find our arc length, which is 3.769911 meters. Note that our units will always be a length.
How to Find the Sector Area
Just as every arc length is a fraction of the circumference of the whole circle, the sector area is simply a fraction of the area of the circle. So to find the sector area, we need to find the fraction of the circle made by the central angle we know, then find the area of the total circle made by the radius we know. Then we just multiply them together. Let’s try an example where our central angle is 72° and our radius is 3 meters.
First, let’s find the fraction of the circle’s area our sector takes up. The whole circle is 360°. Our part is 72°. We make a fraction by placing the part over the whole and we get 72360, which reduces to 15. So, our sector area will be one fifth of the total area of the circle. Now we just need to find that area.
The area can be found by the formula A = πr2. Plugging our radius of 3 into the formula we get A = 9π meters squared or approximately 28.27433388 m2.
Now we multiply that by 15 (or its decimal equivalent 0.2) to find our sector area, which is 5.654867 meters squared. Note that our answer will always be an area so the units will always be squared.
The circumference of the circle is 72cm.
Arc length formula[tex]Arc length = 2\pi r(\frac{x}{360} )[/tex]
where
r is the radius of the circle
x is the central angle of the arc
Circumference of the circleCircumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. It is calculated as
circumference of the circle = 2πr
According to the given question we have
central angle of the arc, x = 15 degrees
Arc length = 3 cm
Let r be the radius of the given circle.
Then,
Arc length = 2πr[tex](\frac{15}{360} )[/tex]
⇒ 3 ×[tex]\frac{360}{15}[/tex] = circumference of the circle ( circumference or circle =2πr)
⇒ circumference of the circle = 72 cm
Learn more about arc length of circle here:
https://brainly.com/question/1577784
#SPJ2
help v qucik pleaseeeeee
Answers
[tex](x - 4) {}^{2} + (y - 1) {}^{2} = r {}^{2} [/tex]
passes through ( 4 , -4 )
[tex](4 - 4) {}^{2} + ( - 4 - 1) {}^{2} = r {}^{2} [/tex]
[tex]r {}^{2} = ( - 5) {}^{2} [/tex]
[tex]r {}^{2} = 25[/tex]
[tex]r = \sqrt{25} = 5[/tex]
Your radius is 5 units
[tex]c = 2\pi \: r \\ c = 2 \times 3.14 \times 5 \\ c = 31.4[/tex]
To Draw:Place your center at the point x=4 and y=1
Then take your radius 5 units by going straight down left right or up by 5 units
AND DRAW
slove for x 10(2x-4)=100x A.x=7 B.x=3 C.x=1/2 D.x=-1/2
Answers
Answer:
The answer is D. x=-1/2
Step-by-step explanation:
multiply the parantheses by 10 that'll give us 20x-40=100x2. move terms, that'll give us 20x-100x=403. subtract 100x from 20x, that'll give us -80x=404. divide both sides by -80, which is x=-1/2Answer:
D. x = -1/2Step-by-step explanation:
10(2x - 4) = 100x1. Divide both sides by 10.
10/10 (2x - 4) = 100x/102x - 4 = 10x2. Add 4 to both sides.
2x - 4 +4 = 10x + 42x = 10x + 43. Subtract 10x from both sides.
2x - 10x = 10x + 4 - 10x-8x = 44. Divide both sides by -8.
-8x/-8 = 4/-8x = -1/2The answer is D.
Which set of coordinates represents the reflection of the following image over the y–axis?
A
(–6 , 2), (–4 , 8), (–2 , 2)
B
(6 , 2), (4 , 8), (2 , 2)
C
(–6 , –2), (–4 , –8), (–2 , –2)
D
(–2 , 2), (0 , 8), (2 , 2)
Answers
Answer:
B. (6,2), (4,8), (2,2)
Step-by-step explanation:
When it reflects over the y-axis (the vertical line) it is going to look the exact same just in the box on the top right. Instead of negatives in the coordinate points they are going to be positive. The only one that does this is B.
Ans: B. (6,2), (4,8), (2,2)
Determine the equation of the circle graphed below.
10
8
-10 -8
8
-6
-2
F
4
2
N
T
-6.
2
10
Answers
Answer:
[tex] = > {x}^{2} + {y}^{2} + 6x - 14y + 49 = 0[/tex]
Step-by-step explanation:
From the graph we can see that
Diameter = 6 units
=> Radius = 3 units and centre is at (-3,7)
=> Equation is Circle with centre (-3,7) and radius of 3 units will be
[tex] = > {(x + 3)}^{2} + {(y - 7)}^{2} = {3}^{2} [/tex]
[tex] = > ( {x}^{2} + 6x + 9) + ( {y}^{2} - 14y + 49) = 9[/tex]
[tex] = > {x}^{2} + {y}^{2} + 6x - 14y + 49 = 0[/tex]
Multiply out and simplify (2x-3)(4-5x+x^2)
Answers
Step-by-step explanation:
reference attachment ..............
Raina is mailing packages. Each small package costs her 2.30 to send. Each large package costs her 4.10 . How much will it cost her to send 7 small packages and 4 large packages?
Answers
Answer:
32.5
Step-by-step explanation:
Take the 2.30 and multiply it by 7. Then take 4.10 and multiply it by 4. From there you add the answers together.
Find the equation of
the line that cuts through (0, 5) and (1, 2)?
a. y=-3x+5
C.
y =-57+3
b. y = 3x+5
d.
Y=--X+3
Please select the best answer from the choices provided
Answers
Substitute your x value into the equation (found in your ordered pair).
-3(0)+5=5 ; if x = 0, y = 5
-3(1)+5=2 ; if x = 1, y = 2