Answer:
There is a sufficient evidence that the coefficient b1 is not zero
There is a sufficient evidence that the coefficient b2 is not zero
Step-by-step explanation:
Given
[tex]n = 30[/tex]
[tex]b_1 = 2.815[/tex]
[tex]Sb_1 = 0.75[/tex]
[tex]b_2 = -1.249[/tex]
[tex]Sb_2 = 0.41[/tex]
[tex]\alpha = 0.05[/tex]
Claim: Coefficient is zero
The null and alternate hypotheses are:
[tex]H_0: \beta_1 =0\\\\H_1: \beta_1 \ne 0[/tex]
The test is two tailed because the alternate hypothesis contains [tex]\ne[/tex]
Calculate the rejection region
[tex]P(t < -t_0) = P(t > t_0) = \frac{\alpha}{2}[/tex]
[tex]P(t < -t_0) = P(t > t_0) = \frac{0.05}{2}[/tex]
[tex]P(t < -t_0) = P(t > t_0) = 0.025[/tex]
Calculate the degrees of freedom
[tex]df = n -2[/tex]
[tex]df = 30 -2[/tex]
[tex]df = 28[/tex]
On the student's T distribution table, the t value at 28 and column with [tex]\alpha = 0.05[/tex] (two tailed) is:
[tex]t\ value = 2.048[/tex]
The rejection value will contain all value lesser than -2.048 and all values greater than 2.048.
So: We reject [tex]H_0[/tex] when [tex]t < -2.048[/tex] and [tex]t >2.048[/tex]
Testing the first independent variable
Calculate test statistic
[tex]t = \frac{b_1 - 0}{Sb_1}[/tex]
[tex]t = \frac{2.815 - 0}{0.75}[/tex]
[tex]t = \frac{2.815 }{0.75}[/tex]
[tex]t = 3.753[/tex]
[tex]t = 3.753 > 2.048[/tex]
This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]
There is a sufficient evidence that the coefficient b2 is not zero
Testing the second independent variable
Calculate test statistic
[tex]t = \frac{b_2 - 0}{Sb_2}[/tex]
[tex]t = \frac{-1.249 - 0}{0.41}[/tex]
[tex]t = \frac{-1.249 }{0.41}[/tex]
[tex]t = -3.0463[/tex]
[tex]t = -3.0463 < -2.048[/tex]
This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]
There is a sufficient evidence that the coefficient b2 is not zero
f(x)= x2 + 5x at x = 4
Answer:
x)x+5x
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{If x = 4 and f(x) = y}[/tex]
[tex]\mathsf{y = 4^2 + 5(4)}[/tex]
[tex]\mathsf{4^2 = 4 \times 4 = 16}[/tex]
[tex]\mathsf{y = 16 + 5(4)}[/tex]
[tex]\mathsf{5(4) = 20}[/tex]
[tex]\mathsf{y = 16 + 20}[/tex]
[tex]\mathsf{36= 20 + 16}[/tex]
[tex]\mathsf{y = 36}[/tex]
[tex]\boxed{\boxed{\mathsf{Answer: \bf{y = 36}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
This is a math riddle for pi day I can’t understand. There was one with the pi symbol in a pumpkin so it was obviously pumpkin pie, so what would this one be? Any ideas?
Answer:
This is the math riddle for pi..
Step-by-step explanation:
They mean by this question, What do you get if you divide the circumference of a pumpkin pie by its diameter?
Pi is the ratio of circumference and the diameter. and people want to understand why pi =3.14. ... very long explanation. This will be college level to understand these math.
We don’t really need the diagram at this stage of course.
The internal angle is 180o−360o / 24=180o−15o =1 65o . Half of this is 82.5o . The perimeter is now 24x so we have:
24 x /h = 24 / tan(82.5o) Rather remarkably:
So tan(82.5o) =√+2 + √+3+√+4+√+6
24 x / h = 24 / ( √+2 + √+3+√+4+√+6 ≈3 .1596599421
Taking a few more steps:...very long detail explanation.
O Mary bought 2 gallons of orange juice for a class celebration. 1 serving of juice is 1 cup. She has 24 classmates. Will there be enough juice for everyone to get a full serving?
Can someone please help me
Answer: 7 and 83
Step-by-step explanation:
complementary have an engles sum of 90 degree
7+83=90.
1/2 of 2/2 = ???????????
Answer:
0.5
Step-by-step explanation:
select the word statement that best matches the number statement
3.x=r
If x is the number of teachers and r is the number of students, then
(a) There are 3 times as many teachers as students.
(b) There are 3 more teachers than students.
(c) There are 3 times as many students as teachers.
Working together, two copy machines can finish a copy job in 3 minutes. The slower copier can finish the job in 12 minutes. How many minutes would it take for just the faster copier to finish the job?
Answer:
4 minutes, because in 3 minutes, the slower copier has done 1/4 of the job (at a 12 minute pace ). That means that during the same 3 minutes, the faster copier did 3/4 of the job.
So the faster copier is on pace to complete the entire job in 4 minutes (3 X 4/3).
Step-by-step explanation:
What is the value of the expression shown below? 2 over 3 to the power of 2 + 5 × 2 − 4
Answer:
8
Step-by-step explanation:
2+(5)(2)−4
=2+10−4
=12−4
=8
Answer:
6.2222222222 over 3 to the power of 2 + 5 × 2 − 4
what's the first step of solving -x^2-4x+16=0 ??? NOW!
Answer:
Step-by-step explanation:
Use the Quadratic Formula.
-x² - 4x + 16 = 0
x = [4±√(4²-4(-1)(16)]/[2(-1)] = [4±√80]/(-2) = [4±4√5]/(-2) = -2±2√5
The equation y = 10x shows how the
cost relates to the number of hours.
How much does it cost to rent a canoe
for 8 hours?
Q2) A
farmer distributed an amount of Rs 56 among his two children in the ratio 3 :5 How much amount was received by each of them
[tex]\huge\mathfrak\purple{answer}[/tex]
[tex]3x + 5x= \red{56} \\ 8x = \red{56} \\ x = \frac{56}{8} \\ x= \red{7}[/tex]
(Mark me brainliest if you're satisfied with the answer :))
What percent is 31 green fish out the f 49
Answer:
divide 31 by 49 and multiply the result by 100
(31÷49 ) × 100
I need the answer please help
Answer:
Check pdf
Step-by-step explanation:
I will gicve you 80 points if answered correctly
Answer:
3. A = (0,-3)
B = (4,-2)
C = (-1,1)
4. A = (0,-6)
B = (4,-5)
C = (-1,-2)
Step-by-step explanation:
3) Reverse coordinates (-3,0), (-2,4), (1,-1) to A=(0,-3), B=(4,-2), C=(-1,1).
4) These coordinates (0,-3), (4,-2), (-1,1) need to be moved 3 units down.
So number four answer is A=(0,-6), B=(4,-5), C=(-1,-2).
I hope this helped you.
1
Which graph corresponds to the table of values?
х
2
4
5
у
-2
2
4
А
С
B
D
Answer:
c
Step-by-step explanation:
Quadrilateral ABCD is reflected over the x-axis. What are the coordinates of
quadrilateral A'B'C'D?
Answer: A
Step-by-step explanation:
X values to the right of the y axis are positive. X values to the left of the y axis are negative.
Y values above the x axis are positive.
Y values below the x axis are negative.
Pairs of coordinates are always noted as (x,y) with the x value of a point given first and the y value of that same point given second.
Answer:
AStep-by-step explanation:
Let A=(a,b) then the reflected over the x-axis will be A'=(a,-b)
A=(5,5) --> A'=(5,-5)
B=(5,1) --> B'=(5,-1)
C=(2,1) --> C'=(2,-1)
D=(1,5) ---> D'=(1,-5)
Help me and I’ll give you brainliest
Answer:
The answer is 21
all points of the step function f (x) are graphed
Which figures always have right angles
Answer:
rectangles, squares, and right triangles
compare these two fractions
Answer:
4/6 is more than 5/12
Step-by-step explanation:
First, set the denominators of the fractions equal to eachother to make it easier to compare. mulitiply 6 and 4 by 2 so that the denominator now equals 12, and you have the new fractions 5/12 and 8/12. Since 8/12 is more than 5/12, 4/6 is more than 5/12.
Answer:
5/12 is greater than 4/6
Step-by-step explanation:
using the butterfly method, multiplying 12 x 4 = 48
and 6x5=30 48 is more than 30
48 Stands for 5/12
30 stands for 4/6
What is the measure of angle AEF
Answer:
B) 144°
Step-by-step explanation:
<AEC=108
<EDG= 180-108=72
<DEF=180-72=108
<AEF=360-108-108=144
PLEASE HELP 20 POINTS
SHOW ALL WORK
Answer:
Steps below
Step-by-step explanation:
8) x = y²/2 2rcosΘ = r²sin²Θ 2cosΘ = rsin²Θ
r = 2cosΘ/sin²Θ = 2cotΘcscΘ
9) (x+2)²+y²=4 y= rsinΘ x=rcosΘ
(rcosΘ+2)²+y²sin²Θ = 4
r²cos²Θ+4rcosΘ+4+y²sin²Θ=4
r²(sin²Θ+cos²Θ)+4rcosΘ=0
r²+4rcosΘ=0 r+4cosΘ=0
r = - 4cosΘ
10) r = 2sinΘ r=2* y/r r²=2y x²+y²=2y
x² + (y²-2y+4) = 4 x²+(y-2)² = 4
11) r = 3tanΘsecΘ = 3* (y/x) * (r/x)
1 =3y/x²
x² = 3y 3y = x²
I am confused on how to solve this. NOTE: the lower limit for the second function is (-6) NOT 6. Wouldn't let me type it in correctly.[tex]\int\limits^6_3 {|x-4|} \, dx + \int\limits^0_6 {\sqrt{36-x^2} } \, dx[/tex]
I think how you approach this depends on your knowledge of calculus.
If you don't know how to compute definite integrals yet, but you do know that they represent signed areas under curves, then you can plot both curves |x - 4| and √(36 - x ²), then recognize that the areas represented by these integrals are areas of geometric shapes. (See attached images)
First integral: if you plot |x - 4| on the interval [3, 6], you'll see that the integral corresponds to the area of two triangles. One of them has base = height = 1, and the other has base = height = 2. Then
[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\frac12\times1\times1+\frac12\times2\times2=\frac52[/tex]
Second integral: if [tex]y=\sqrt{36-x^2}[/tex], then [tex]x^2+y^2=6^2[/tex], meaning this curve is the upper half of a circle with radius 6. On the interval [-6, 0], the area amounts to 1/4 of the total area of such a circle, so that
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=\frac{\pi\times6^2}4=9\pi[/tex]
* * *
If you already know a few things about calculus and integration, you can compute these areas directly.
First integral:
[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\int_3^4(4-x)\,\mathrm dx+\int_4^6(x-4)\,\mathrm dx[/tex]
[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\left(4x-\frac{x^2}2\right)\bigg|_{x=3}^{x=4}+\left(\frac{x^2}2-4x\right)\bigg|_{x=4}^{x=6}[/tex]
[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\left(\left(4\times4-\frac{4^2}2\right)-\left(4\times3-\frac{3^2}2\right)\right)+\left(\left(\frac{6^2}2-4\times6\right)-\left(\frac{4^2}2-4\times4\right)\right)[/tex]
[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\frac52[/tex]
Second integral:
Substitute x = 6 sin(t ) and dx = 6 cos(t ) dt, then
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=\int_{-\frac\pi2}^0\sqrt{6^2-(6\sin(t))^2} (6\cos(t))\,\mathrm dt[/tex]
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos (t) \sqrt{1-\sin^2(t)} \,\mathrm dt[/tex]
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos (t) \sqrt{\cos^2(t)} \,\mathrm dt[/tex]
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos (t) |\cos(t)| \,\mathrm dt[/tex]
For t ∈ [-π/2, 0], cos(t ) > 0, so |cos(t )| = cos(t ) :
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos^2(t)\,\mathrm dt[/tex]
Recall the half-angle identity,
cos²(t ) = (1 + cos(2t )) / 2
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=18\int_{-\frac\pi2}^0(1+\cos(2t))\,\mathrm dt[/tex]
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=18\left(t+\frac{\sin(2t)}2\right)\bigg|_{t=-\frac\pi2}^{t=0}[/tex]
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=18\left(\left(0+\frac{\sin(2\times0)}2\right)-\left(-\frac\pi2+\frac{\sin\left(2\times\left(-\frac\pi2\right)\right)}2\right)\right)[/tex]
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=9\pi[/tex]
Help please I really don’t understand this
Answer:
78.5/250 = 31.4%
Step-by-step explanation:
divide the area of the circle (which is 25π = 78.5 sq in) by the area of the rectangle (which is 25x10 = 250 sq in)
there are 60 sixth graders at wilson middle school. only 50% of the sixth graders will attend the morning assembly. how many sixth graders will be at the morning assembly?
Answer:
30 sixth graders
Step-by-step explanation:
50% = 0.50
multiply 60 by the decimal fraction of the percentage:
60 x 0.50 = 30
you can also just take 60 and divide by 2 since 50% means half
Select the correct answer.
Does the equation below represent a relation, a function, both a relation and a function, or neither a relation nor a function?
y = 3:2 - 95 + 20
OA neither a relation nor a function
OB. both a relation and a function
OC function only
OD. relation only
Answer:
B. both function and relation
Step-by-step explanation:
Margaret charges $60 for 2 hours of math tutoring. Lyndsay charges $100 for 4 hours of math tutoring Who offers a better deal?
Answer:
Lyndsay charges a better deal
Step-by-step explanation:
With Lyndsay charging $100 for 4 hours you get $20 off because 4 hours with Margaret charges $120.
Answer:
Margaret
Step-by-step explanation: Lyndsay charges 25 dollars an hour for tutoring while Margaret only charges 20 dollars an hour for tutoring. Therefore, Margaret has a WAY better deal, Lyndsay charges 5 more dollars then Margaret.
60 divided by 2: 20
100 divided b 4: 25.
{~} Izzy ∩﹏∩ {~}
Which measure is equivalent to 4 feet 5 inches?
Answer:
53
Step-by-step explanation:
4ft x 12 = 48 in
48 in+ 5 in= 53
4 feet and inches will be equal to 53 inches .
Given,
4 feet 5 inches
Now conversion of inches to feet,
Few unit conversions,
Conversion Factors:
1 mile = 5280 feet
1 foot = 12 inches
1 inch = 2.54 cm
1 cm = 10 mm
1 second = 1 s
1 feet = 12 inches
Here we need to convert feet into inches,
So,
1 feet = 12 inches
4 feet = 48 inches
Hence the height will be,
48 inches + 5 inches = 53 inches
Learn more about conversions,
brainly.com/question/28600662
#SPJ6
You have a restaurant bill of $46.32. If you are taxed 7 1/2 and decide to tip your server 20%, how much is your total?
a.
$59.75
b.
$59.05
c.
$58.92
d.
$58.87
Answer:
The correct answer is B. $59.05.
Step-by-step explanation:
Given that I have a restaurant bill of $ 46.32, if I am taxed 7 1/2 and decide to tip my server 20%, to determine how much is my total, the following calculation must be performed:
1/2 = 0.5
46.32 + (46.32 x 0.075) + (46.32 x 0.2) = X
46.32 + 3.474 + 9.264 = X
49.79 + 9.26 = X
59.05 = X
Thus, the total amount that I must pay is $ 59.05.
Answer:
b
Step-by-step explanation:
trust
5,890,000=a×10b a==?
Answer:
=146628
Step-by-step explanation:
gracias por los puntos