Answer: y=374.2 -133 x
Step-by-step explanation: I just did the khan test
Least-squares regression equation
The equation for the least-squares regression line for predicting yyy from xxx is of the form:
\hat{y}=a+bx
y
^
=a+bxy, with, hat, on top, equals, a, plus, b, x,
where aaa is the yyy-intercept and bbb is the slope.
Hint #22 / 4
Finding the slope
We can determine the slope as follows:
b=r\left(\dfrac{s_y}{s_x}\right)b=r(
s
x
s
y
)b, equals, r, left parenthesis, start fraction, s, start subscript, y, end subscript, divided by, s, start subscript, x, end subscript, end fraction, right parenthesis
In our case,
b=-0.95\left(\dfrac{42}{0.3}\right)=-133b=−0.95(
0.3
42
)=−133b, equals, minus, 0, point, 95, left parenthesis, start fraction, 42, divided by, 0, point, 3, end fraction, right parenthesis, equals, minus, 133
Hint #33 / 4
Finding the yyy-intercept
Because the regression line passes through the point (\bar x, \bar y)(
x
ˉ
,
y
ˉ
)left parenthesis, x, with, \bar, on top, comma, y, with, \bar, on top, right parenthesis, we can find the yyy-intercept as follows:
a=\bar y-b\bar xa=
y
ˉ
−b
x
ˉ
a, equals, y, with, \bar, on top, minus, b, x, with, \bar, on top
In our case,
a=41.7 +133 (2.5)=374.2a=41.7+133(2.5)=374.2
Answer:
374.2 ; 133
Step-by-step explanation:
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 8 N acts on a certain object, the accelerstion of the object is 4 m/s2. If the acceleration of the object becomes 9 m/s?, what is the force?
Answer:
18N
Step-by-step explanation:
According to Newtons second law
F ∝ a
F = ka
k is the constant of proportionality
When a force of 8 N acts on a certain object, the acceleration of the object is 4 m/s2, hence;
8 = 4k
k = 8/4
k = 2
If a = 9m/s², F = ?
Recall F = ka
F = 2 * 9
F = 18N
Hence the force will be 18N
Which value of b would make 16x? - bx + 25 a perfect square trinomial?
a. 4
b. 5
C. 20
d. 40
9514 1404 393
Answer:
d. 40
Step-by-step explanation:
Consider the square ...
(px +q)² = (px)² +2(px)(q) +q² = p²x² +2pqx +q²
Comparing this to your expression, you see ...
16 = p² ⇒ p = ±4
25 = q² ⇒ q = ±5
-b = 2pq = 2(±4)(±5) = ±40
The expression is a perfect square trinomial when b = 40.
_____
Additional comment
When the linear term has a negative coefficient, we know the signs of the binomial terms are different. We conventionally write the square with the constant term in the binomial being negative:
16x² -40x +25 = (4x -5)²
A restaurant can seat 100 diners. Four of
the tables can each seat 6 people. The
rest of the tables can each seat 4 people.
How many tables does the restaurant
have in all?
100 people
6x4= 24
100-24= 76
76÷4= 19
19+4=23
lmk if I'm wrong
How many solutions does the system have?
3x + y = 8
2x + 2y = 8
Answer:
There is one solution
Step-by-step explanation:
I did the Khan Academy lesson and I got it correct.
Answer:
One solution. Set of values (2,2)
Step-by-step explanation:
3x+y=8 0r y=8-3x
2x+2y=8
substitute value of y (8-3x) in first equation into y of 2nd equation
2x+2(8-3x)=8
2x+16-6x=8
-4x=-8
x=2
solve for y.
2x+2y=8
2(2)+2y=8
4+2y=8
2y=4
y=2
(-10) x 0x ( -15 ) =
To solve this expression, which operation should be performed last?
[21-(5 + 2)]^2 x 3
A. numbers inside brackets squared
B. subtract 7 from 21
C. multiply by 3
D. add 5 to 2
Multiply
(2x2 – 3x)(3x2 + 2x - 1)
help plz
this is the answer I believe
Can someone please give me the answer I will mark u brilliant
Answer:
200
Step-by-step explanation:
Volume of juice
[tex] = 3.5 \times 6 \times 9 \\ = 189 \\ \approx \: 200 \: {cm}^{3} [/tex]
1355 + 0540 add as n military time btw this is a military time answer also im on mobymax
Answer:
1895
Step-by-step explanation:
If n and k are positive integers and 8” = 2*, what is the value of n/k
Answer:
B) 1/3
Step-by-step explanation:
If n=1 and k=3, then 8^n=2^k is true. Therefore, n/k=1/3.
What does p equal Help?
Answer:
your answer will be P=27
Step-by-step explanation:
hope it helps...
Watch help video
Given 1 ||
т
||
n, find the value of x.
Z
(4x+6)°
т
(5x-4)
n
HELP ASAP PLEASE EMERGENCY! Find the area of the shape shown below
Answer:
IT SHOULD BE 240
Step-by-step explanation:
1) Multiply 20 by 10 for 200
2) Lenght=20 so half is 10
3) multiply 10 by 4 and divide by 2 which gives 20
4) Multiply 20 by 2 because there are 2 rectangles which gives us 40
5) Add 200 and 40 which gives answer of 240
find the slope of the function: y²+x²y+x²=1 at the point (-1,2)
someone help me please
Step-by-step explanation:
Hi,
You will have to move the pre-image 15 units to the right. You're also going to have to flip the image horizontally (kind of like flipping it across the x-axis) and after that, you're going to have to flip it so that it's facing the left side.
1) 15 units right
2) Flip-up
3) Flip to the left
Hope this helps :)
Need help on this please still lost on this one
Admission prices at a football game were $5 for adults and $ 2 for children.
The total value of the tickets sold was $2520, and 654 tickets were sold. How many adult
tickets and how many child tickets were sold?
Show all six steps.
Answer:
404 adult tickets were sold, and 250 child tickets.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that
x is the number of adult tickets sold.
y is the number of child tickets sold.
654 tickets were sold.
This means that
[tex]x + y = 654[/tex]
[tex]y = 654 - x[/tex]
Admission prices at a football game were $5 for adults and $ 2 for children. The total value of the tickets sold was $2520.
This means that
[tex]5x + 2y = 2520[/tex]
Since [tex]y = 654 - x[/tex]
[tex]5x + 2(654 - x) = 2520[/tex]
[tex]5x + 1308 - 2x = 2520[/tex]
[tex]3x = 1212[/tex]
[tex]x = \frac{1212}{3}[/tex]
[tex]x = 404[/tex]
[tex]y = 654 - x = 654 - 404 = 250[/tex]
404 adult tickets were sold, and 250 child tickets.
What is the surface area? 4 mm 10 mm 5mm square millimeters
Answer:
200
Step-by-step explanation:
Length*Width*Hight= 4*10*5=200
hope this helps
Answer: I am pretty sure it is 200
Step-by-step explanation:
I may be wrong sorry if it is have a good day :)
Please help me in this
Answer:
top=170mm squared
shape 2=76.27 cm squared
shape 3=62.862 cm squared
Step-by-step explanation:
top shape...
(18x15)-4(5x5)=area
270-4(25)=area
270-100=area
170=area
shape 2...
diameter of circle is 6 so radius is 3...
area=pier^2
a=28.27 and their are two half circles so that makes one whole circle
(8x6)+28.27=76.27 cm squared
shape 3...
total of rectangle with a half circle subtracted. r=4 d=8
so
11x8=88 for rectangle then subtract half circle
a=pie r^2
a=50.27
50.27/2=25.135 subtract this from rectangle total...
88-25.135=62.862 cm squared
Find the slope and the y-intercept of the graph of y−3.5=−2x.
Answer:
m = -2
b = 3.5 or (0, 3.5)
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
y − 3.5 = −2x
y = -2x + 3.5
m = -2
b = 3.5
The slope of given equation is -2 and the y-intercept is 3.5.
What is the slope intercept form?The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.
The given equation is y-3.5=-2x.
Now, in slope intercept form y=-2x+3.5
The standard form of the slope intercept form is y=mx+c.
Where, m=slope and c=y-intercept
Now, m=-2 and c=3.5
Therefore, the slope of given equation is -2 and the y-intercept is 3.5.
To learn more about the slope intercept form visit:
brainly.com/question/9682526.
#SPJ2
Can someone help me solve for x please it’s urgent
Answer:
37.5
Step-by-step explanation:
16/46 = 20/(20+x)
or, 16(20+x) = 46×20
or, 320 + 16x = 920
or, 16x = 600
or, x = 600/16
x = 37.5
What is 7 rounded to the nearest whole number?
A. 2244
B. 3205
C. 3846
D. None of the above
D. None of the above
the correct answer is 7,460 as some non native english is the correct answer to the question
If ADC measures 35º, what does
Answer:
by inscribed angle rule do it.
Step-by-step explanation:
hope this help
Answer:
70°
Step-by-step explanation:
∠ADC is a inscribed angle. ∠ABC is a central angle. The inscribed angle's measurement will be 1/2 of the measurement of the central angle.
In this case, the inscribed angle ∠ADC is given to you with a measurement of 35°. To solve for ∠ABC, multiply 2 to the given value:
35 x 2 = 70
70° is your answer.
~
A researcher for a travel company is looking into the prices people are willing to pay for airplane tickets. The company has communicated that the overall population mean is $265 with a standard deviation of $40.93. The researcher has a sample of 130 ticket purchases from one location. By the central limit theorem, which interval can the researcher be 95% certain that the sample mean will fall within?
A.
$261.41 and $268.59
B.
$257.82 and $272.18
C.
$264.37 and $265.63
D.
$254.23 and $275.77
Answer:
I believe answer B.
Given the arithmetic sequence of 21,
6, 9, 24,
find an explicit rule for the nth term.
Answer:
Step-by-step explanation:
The sequence you gave is not arithmetic. I'm assuming the sequence is
21, 6, -9, -24.
d is the common difference between adjacent terms.
a₂ = a₁ + d
6 = 21 + d
d = -15
nth term = a₁ + (n-1)d = 21 - (n-1)15
Mrs. Spina bought 4 boxes of 8 pork chops. She set aside 12 and separated the rest into packs of4 to freeze. How many packs of chops did Mrs. Spina freeze
Step-by-step explanation:
Number of pork chops Mrs Spina bought =
Number of boxes x number of pork chops per box
= 4x8
= 32
Number of Pork chops to freeze = 32 - 12 (set aside) = 20
Number of packs of pork chops to freeze = Number of pork chops to freeze / pork chops per pack
= 20/4
= 5 packs.
30 points for this A special truck cleans the surface of the ice rink shown. The figure is composed of a square and two semicircles.
85 ft
85 Ft
If the truck cleans the entire surface, how many square feet of ice will the truck clean?
Use 3.14 for . Round your answer to the nearest tenth.
The truck will clean about
square feet of ice
Answer:
12897 square feet
Step-by-step explanation:
So first find the area of the square:
85 * 85 = 7225
Then, the two semi circles together is a full circle. Use the circle area formula,
A = πr^2
The radius (r) would be half the diameter of the circle. The diameter of the circle would be 85. So half of that is 42.5. The radius is 42.5
Now:
A = π(42.5)^2
A = 3.14(42.5)^2
A = 3.14(1806.25)
A = 5671.625
Lastly, add the two areas up for the square and circle:
7225 + 5671.625 = 12896.625
Round to nearest tenth: 12897
Find TWO factors that are equivalent to 1/2
Answer:
6/12, 4/8
Step-by-step explanation:
Can Anyone help me with this assignment please
Answer: Answers are in step by step. please like and give a review.
Step-by-step explanation:
1. An obtuse angle is an angle that is greater than 90 degrees but less than 180 degrees.
2. 5x - 8 = 37 if and only if x = 9.
3. If two angles have the same measure, then they are congruent. If two angles are not congruent, then they do not have the same measure. If two angles do not have the same measure, then they are not congruent.
4. 2x + 5 = 3 , then x = 3
5. With 3 equal sides is a equilateral triangle
If cos 0 = 3/radical 22 and angle 0 is in Quadrant I, what is the exact value of tan 20 in
simplest radical form?
Answer:
[tex] \tan2\theta =-\dfrac{3\sqrt{13}}{2} [/tex]Step-by-step explanation:
To find:-
The value of [tex]\tan2\theta[/tex] .Answer:-
We are here given that the value of,
[tex]\longrightarrow \cos\theta=\dfrac{3}{\sqrt{22}} \\[/tex]
And we know that cosine is the ratio of base and hypotenuse. Therefore,
[tex]\longrightarrow \cos\theta =\dfrac{b}{h} \\[/tex]
So we can also say that,
[tex]\longrightarrow \cos\theta = \dfrac{b}{h}=\dfrac{3}{\sqrt{22}}\\[/tex]
Let us take the given ratio to be 3x:√22x . Now we may find out the value of perpendicular using Pythagoras theorem . The Pythagoras theorem is ,
Pythagoras theorem:-
In a right angled triangle the sum of squares of perpendicular and base is equal to the square of hypotenuse.Mathematically,
[tex]\longrightarrow \boxed{ \boldsymbol{p^2+b^2=h^2}} \\[/tex]
where the symbols have their usual meaning.
On substituting the respective values, we have;
[tex]\longrightarrow p^2+(3x)^2=(\sqrt{22}x)^2 \\[/tex]
[tex]\longrightarrow p^2 = 22x^2-9x^2\\[/tex]
[tex]\longrightarrow p^2=13x^2 \\[/tex]
[tex]\longrightarrow \boldsymbol{ p = \sqrt{13}x} \\[/tex]
Now again , we know that, tangent is defined as the ratio of perpendicular and base. Therefore,
[tex]\longrightarrow \tan\theta = \dfrac{p}{b} \\[/tex]
[tex]\longrightarrow \tan\theta = \dfrac{\sqrt{13}x}{3x}\\[/tex]
[tex]\longrightarrow \boldsymbol{ \tan\theta = \dfrac{\sqrt{13}}{3}}\\[/tex]
Now we may use a identity which is ,
[tex]\longrightarrow\boxed{ \boldsymbol{ \tan (2x)= \dfrac{2\tan x}{1-\tan^2 x}}}\\[/tex]
On substituting the respective values, we have;
[tex]\longrightarrow \tan2\theta = \dfrac{ 2\tan\theta}{1- \tan^2\theta}\\[/tex]
[tex]\longrightarrow \tan2\theta = \dfrac{2\bigg(\dfrac{\sqrt{13}}{3}\bigg)}{1-\bigg(\dfrac{\sqrt{13}}{3}\bigg)^2 } \\[/tex]
[tex]\longrightarrow \tan2\theta = \dfrac{\dfrac{2\sqrt{13}}{3}}{1-\dfrac{13}{9}} \\[/tex]
[tex]\longrightarrow \tan2\theta = \dfrac{\dfrac{2\sqrt{13}}{3}}{\dfrac{9-13}{9}} \\[/tex]
[tex]\longrightarrow \tan2\theta = \dfrac{\dfrac{2\sqrt{13}}{3}}{\dfrac{-4}{9}} \\[/tex]
[tex]\longrightarrow \tan2\theta = -\dfrac{2\sqrt{13}\cdot 9}{3\cdot 4 } \\[/tex]
[tex]\longrightarrow \boxed{\boldsymbol{ \tan2\theta = -\dfrac{3\sqrt{13}}{2}}} \\[/tex]
This is the required answer .