Answer:
Kindly check explanation
Step-by-step explanation:
Given the data showing the relationship between GPA and hours of study :
From the regression model given :
Regression equation is:
y = 0.141x + 1.096
Also, the regression Coefficient, R = 0.957
a) Describe how the line of best fit and the correlation coefficient can be used to determine the correlation between the two variables on your graph.
From the regression equation, we can infer if the relationship or correlation between the two variables is positive or negative from the value of the slope, a positive slope Value means a positive relationship while a negative slope value means a negative relationship.
The Correlation Coefficient, R also gives the strength of relationship, with values close to - 1 or 1 depicting a strong relationship while positive and negative R values also depictava positive or negative relationship.
Here there is a strong positive relationship between GPA and Hours.
Correlation does not imply causation. Correlation only shows the type of relationship between variables and it does not mean that high GPA values are causes by long hours of study and vice versa.
The volume of this cube is 64 cubic feet. What is the value of a?
What is the constant of proportionality y/x?
Answer:
0.5
Step-by-step explanation:
k = y/x
k = 0.5/1
k = 0.5
the area of a trapezoid is 21 inches, one of its bases is 8 inches and its height is 3 inches. What is the length of the last base?
Answer:
6 inches
Step-by-step explanation:
A=b1+b2/2*h
Fill in the equation with what we know
21=8+x/2*3
Isolate x
Quick steps: 21/3=7*2=14-8=6
x=6
can some one help me on this one its confusing ill give brainly when right!!!
please help you can answer it by saying something like option 3 or option 2 that would be ok
Answer:
maby option 5
Step-by-step explanation:
Classify the polynomial and determine its degree.
The polynomial –2x2 – x + 2 is a
with a degree of
.
Answer:
Trinomial, 2
Step-by-step explanation:
Answer:
Trinomial, 2
Step-by-step explanation:
Which is the graph of y = log4(x+3)?
Answer:
Step-by-step explanation:
Answer:
Option c points at (-2,0) (-1, 0.5) and (1,1)
Step-by-step explanation:
A hollow metal sphere has an external diameter of 12 cm and a thickness of 2 cm. (i) Given that the mass of 1 cm of the metal is 5.4 g, find the mass of the hollow sphere in kg. (ii) The hollow sphere is melted and recast to form a solid sphere. Find the radius of the solid sphere.
Answer:
(i) 3.438159 kg
(ii) 5.336803297 cm
Step-by-step explanation:
the external diameter = 12 cm, => the radius = 6 cm.
the internal diameter = 12 - 2×2 = 8 cm, radius = 4 cm.
I assume the mass of 1 cm³ (not cm) is 5.4 g (very, very light metal).
the material is in the volume of external sphere minus internal (empty) sphere.
the volume of a sphere is
4/3 × pi×r³
V-e = 4/3 × pi×6³ = 4/3 × pi×216 = 4×pi×72 = 904.7786842 cm³
V-i = 4/3 × pi×4³ = 4/3 × pi×64 = 268.0825731 cm³
V-e - V-i = 4/3 × pi×(216-64) = 4/3 × pi×152 = 636.6961111 cm³
1cm³ = 5.4g
636.6961111 cm³ = 5.4×636.6961111 = 3438.159g = 3.438159 kg
for (ii) we need to work with the volume of the material and calculate backwards to find the radius of the sphere with the full volume of that size.
636.6961111 = 4/3 × pi×r³ = 4/3 × pi×152
152 = r³
r = 5.336803297
Parallel to the line y=-4x-1 and through the origin.
Answer:
y=-4x
Step-by-step explanation:
Parallel to the line, slope is - 4. The equation of line is y=-4x
Could someone help me out?
Answers:
DE = 1.1DF = 1.6BC = 4.8===========================================================
Explanation:
I recommend drawing the two triangles as shown below. The diagram isn't to scale, but all that matters is that we get the general idea down.
Your teacher gave you this info:
angle A = angle E (red angles)angle C = angle F (blue angles)These two pieces of info are enough to prove that triangle ABC is similar to triangle EDF. Use the angle angle (AA) similarity theorem to do this proof. The order of the lettering matters because it helps us see how the letters pair up.
A and E go firstB and D in the middleC and F go lastSince the triangles are similar, the scale factor to go from ABC to EDF is EF/AC = 2/6 = 1/3
In other words, the side lengths of triangle EDF are exactly 1/3 that of the corresponding lengths of ABC. Or we can reverse things to say the sides of ABC are 3 times longer than the sides of EDF.
----------------------
Use this scale factor to help determine the missing length ED.
(ED)/(AB) = scale factor
(ED)/(AB) = 1/3
(ED)/(3.3) = 1/3
ED = (1/3)*(3.3)
ED = 1.1
Note how ED/AB = (1.1)/(3.3) = 11/33 = 1/3
----------------------
While we don't know how long sides BC or DF are, we are told that DF is 3.2 units shorter compared to BC.
This means
DF = BC - 3.2
DF = x - 3.2
Then we can say,
(DF)/(BC) = scale factor
(x-3.2)/(x) = 1/3
3(x - 3.2) = x*1
3x - 9.6 = x
3x - x = 9.6
2x = 9.6
x = (9.6)/2
x = 4.8
So BC is x = 4.8 units long and DF is x-3.2 = 4.8-3.2 = 1.6 units long
Calculate : y
y = 20
y = 10
y = 15
y = 144
choose the only correct answer
4(x—8)+10= -10
What is the solution to this equation?
I need help ASAP!!Please explain how to do the problem
Answer:
86⁰
Step-by-step explanation:
Reason:
180⁰-94⁰=86⁰
[Opposite sides of a cyclic quad are supplementary (add up to 180⁰)]
An airplane travels 3690 kilometers against the wind in 5 hours and 4490 kilometer with the wind in the Sam amount of time what is the rate of the plane
still air and what is the rate of the wind?
Step-by-step explanation:
Against the wind, the wind works against the speed. With the wind, the wind aids the speed.
4(p - w) = 2416
4(p + w) = 2896
p - w = 604
p + w = 724
2p = 1328
p = 664 mph
664 + w = 724
w = 60 mph
Plz help me to find the answer to 4th question..plz help me
Answer:
I got that AE^2 = 8EC^2
Step-by-step explanation:
Here's what I did. I probably did this wrong, but this might give you an idea on how to solve it.
First, create equations:
AB = BC = AC = DE = 2EC
BD= BC = EC
Then, I used pythagorean theorem (since AD is perpendicular to BC): AD^2 + DE^2 = AE^2
Substitute: (2EC)^2 + (2EC)^2 = AE^2
Simplify: 4EC^2 + 4EC^2 = AE^2
AE^2 = 8CE^2
What is the simplest form of 20 over 315?
Answer:
4/63
Step-by-step explanation:
20/315 = (20÷5)/(315÷5)
2.2.4.4.4=
plzz help
Answer:
what is this question ??
This answer will also same 2.2.4.4.4=2.2.4.4.4
If an = 2n - 8, then which one is not a term of the sequence? ( an means nth term)
a) 13
b) 16
c) 204
d) 198
Answer:
13 is answer
Step-by-step explanation:
hope it helps
What is the area? Please help!!!
Answer: 96 ft²
Step-by-step explanation:
This figure can be divided into two rectangles:
The first rectangle has dimensions 6 ft by 14 ft.The second rectangle had dimensions 4 ft by 3 ft.Find the area of both rectangles:
The first rectangle: 6 × 14 = 84 ft²The second rectangle: 4 × 3 = 12 ft²Add them together to find the total area of the figure:
84 + 12 = 96 ft²
PLEASE HELP
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Complete the inverse function for the function given below.
Answer:
[tex]f^{-1}[/tex](x) = 0.5x + 2
Step-by-step explanation:
let y = f(x) and rearrange making x the subject , that is
y = 2x - 4 ( add 4 to both sides )
y + 4 = 2x ( divide both sides by 2 )
[tex]\frac{y+4}{2}[/tex] = x
Change y back into terms of x with x = [tex]f^{-1}[/tex] (x)
[tex]f^{-1}[/tex] (x) = [tex]\frac{x+4}{2}[/tex] = 0.5x + 2
Answer: F -1(x) = 0.5 x + 2
Step-by-step explanation:
Just took the test on edmentum and got a 100
find the matrices of
[tex]\huge{\sf \left[{x-2y\atop 6x-2z}\:\:\:{4y-3\atop 2y-z}\right]=\left[{-3\atop 4}\:\:\:{5\atop 3}\right]}[/tex]
Creating equations
[tex]\\ \sf\longmapsto x-2y=-3\dots(1)[/tex]
[tex]\\ \sf\longmapsto 4y-3=5\dots(2)[/tex]
[tex]\\ \sf\longmapsto 6x-2z=4\dots(3)[/tex]
[tex]\\ \sf\longmapsto 2y-z=3\dots(3)[/tex]
From eq(2)[tex]\\ \sf\longmapsto 4y-3=5[/tex]
[tex]\\ \sf\longmapsto 4y=5+3[/tex]
[tex]\\ \sf\longmapsto 4y=8[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{8}{4}[/tex]
[tex]\\ \bf\longmapsto y=2[/tex]
Put the value in eq(1)[tex]\\ \sf\longmapsto x-2y=-3[/tex]
[tex]\\ \sf\longmapsto x=-3+2y[/tex]
[tex]\\ \sf\longmapsto x=-3+2(2)[/tex]
[tex]\\ \sf\longmapsto x=-3+4[/tex]
[tex]\\ \bf\longmapsto x=1[/tex]
Put the value in eq(4)[tex]\\ \sf\longmapsto 2y-z=3[/tex]
[tex]\\ \sf\longmapsto z=2y-3[/tex]
[tex]\\ \sf\longmapsto z=2(2)-3[/tex]
[tex]\\ \sf\longmapsto z=4-3[/tex]
[tex]\\ \bf\longmapsto z=1[/tex]
On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 3 kg weighs 30 N. Find the weight of an object whose mass is 5 kg
Answer:
[tex]50 N[/tex]
Step-by-step explanation:
To help us find our answer, we need to use Newton's Second law
[tex]F = m \times a[/tex]
Where F is the force (N), m is the mass (Kg) and a is the acceleration (m/s^2, on a planet this would just be the gravity)
So if we know that a person has a mass of 3Kg and weighs 30N, the acceleration (or the gravity on that planet is)
[tex]30 = 3 \times a\\a = 10 m/s^2[/tex]
Now that we know the acceleration we can easily find the weight of the person.
[tex]F = 5 * 10 = 50 N[/tex]
A rectangle has width 65 mm and length 72 mm What is the area of the rectangle in cm2 ?
Answer:
Step-by-step explanation:
Area of rectangle: l×b
Length = 72mm
= 7.2cm
Breadth = 65mm
= 6.5cm
(We know that 10mm = 1cm)
Area = 7.2×6.5
= 46.8cm²
The area of the rectangle is 46.8cm²
Must click thanks and mark brainliest
Answer:
area of a rectangle is (l×w)
Step-by-step explanation:
1cm=10mm
hb65mm
1cm×65mm
allover10mm
=6.5cm
do the same to 72mm to get 7.2cm
you then say 6.5cm×7.2cm
=46.8cm2
hope this helps
Find the measure of each angle supplementary angles with measures 2X +3 and 3X +2
supplementary angles = the sum of those angles will equal to 180 degrees
so,
2x + 3 + 3x + 2 = 180
5x + 5 = 180
5x = 175
x = 35
angle 1 -> 2x + 3 = 70 + 3 = 73
angle 2 -> 3x + 2 = 105 + 2 = 107
if you want to check, 107 + 73 = 180
hope it helps :)
Can someone plz help with this problem
Answer:
I think the answer is 2
Step-by-step explanation:
Between 30 and 60 is double b so just divide 4 by 2.
What is the constant of proportionality in the equation y=2.5x
Answer:
2.5
Step-by-step explanation:
Given point P=(2,-4), determine its transformation after it goes through the composite transformation
Show all your work. P"=(
)
PLEASE HELP
Answer:
(2,-7)
Step-by-step explanation:
The point moves down 3 units resulting in (2,-7)
Is this a function or no?
Function
It is a function
Mathematical Connections The triangle shown
is isosceles. Find the length of each side and the
perimeter.
#14
--------------------------------------
If a triangle is isosceles, it means that two sides have equal measures.The perimeter of a polygon is the sum of the lengths of all its sides.--------------------------------------
Value of n:
The two legs have the same length.One is [tex]5n - 17[/tex], and the other is [tex]2n + 1[/tex], thus:[tex]5n - 17 = 2n + 1[/tex]
[tex]5n - 2n = 1 + 17[/tex]
[tex]3n = 18[/tex]
[tex]n = \frac{18}{3}[/tex]
[tex]n = 6[/tex]
--------------------------------------
Lengths:
The lengths are given as functions of n, since n = 6:
[tex]5n - 17 = 5(6) - 17 = 30 - 17 = 13[/tex][tex]2n + 1 = 2(6) + 1 = 12 + 1 = 13[/tex][tex]n = 6[/tex]The length of the sides are: 13 cm, 13 cm and 6 cm.
--------------------------------------
Perimeter:
The perimeter is the sum of the lengths of all sides, so: 13 + 13 + 6 = 32 cm.
A similar question is given at https://brainly.com/question/6139098
The following are the ages (years) of 5 people in a room: 16, 25, 23, 12, 17 A person enters the room. The mean age of the 6 people is now 20. What is the age of the person who entered the room?
Answer: 27
Step-by-step explanation:
Set the age of the person who entered the room as x[tex]Mean=\frac{16 + 25 + 23 + 12 + 17 + x}{6}=20 \\16 + 25 + 23 + 12 + 17 + x=20(6)\\93+x=120\\x=120-93=27[/tex]
Answer:
27 years old
Step-by-step explanation:
There are originally 5 people in the room.
Their ages are: 16, 25, 23, 12, 17
The sum of their ages is: 93
One person enters the room. That person's age is unknown, so we call it x.
The sum of the ages of the 6 people is:
x + 93
There are 6 people in the room now, so the mean age is (total age divided by number of people):
(x + 93)/6
We are told the mean age is 20.
(x + 93)/6 = 20
x + 93 = 120
x = 27
Answer: 27 years old