Answer:
a)H0: β1= 1 and Ha: β1 ≠1
b) The test statistic is____.t= b- β/ sb
c) The p-value is____.0.999144
(d) Therefore, we can conclude that:_____. there is not enough evidence to reject the null hypothesis.
2) The data provides no evidence at the 0.1 significance level that these thermometers are not consistent.
Step-by-step explanation:
The null and alternate hypotheses are
H0: β1= 1 and Ha: β1 ≠1
The significance level is alpha= 0.1 but ∝/2 =0.1/2= 0.05 for two tailed test.
The critical region at t ∝/2 (29)= t ≤ - 1.699 , t ≥ 1.699
The test statistic is
t= b- β/ sb
which has t distribution with υ= 31-2= 29 degrees of freedom.
Calculations
Ŷ = a +bX
b = SPxy /SS x= Σ(xi-x`)(yi-y`)/Σ(xi-x`)²
b = 39671.6/39680= 0.9998
a = y` - bx`
x`= 60
y`= 59.989
a = 59.989 -0.9998*60 = 0.001734
Syx²= Σ( yi -y`)²/ n-2= 39663.3857/ 29=1367.68965
Syx= 36.9822
Sb= Syx/ √∑ (x-x`)²
Sb= 36.9823/ √39680
Sb= 36.9823/ 199.984
Sb= 0.18493
x-x` y-y` (x-x`)² (x-x`)(y-y`)
-60 -59.969 3600 3598.1419
-56 -55.999 3136 3135.9458
-52 -52.079 2704 2708.1097
-48 -47.959 2304 2302.0335
-44 -43.899 1936 1931.5574
-40 -39.989 1600 1599.5613
-36 -36.009 1296 1296.3252
-32 -31.899 1024 1020.769
-28 -28.049 784 785.3729
-24 -23.959 576 575.0168
-20 -19.989 400 399.7806
-16 -15.939 256 255.0245
-12 -12.039 144 144.4684
-8 -7.989 64 63.9123
-4 -4.119 16 16.4761
0 -0.08903 0 0
4 3.921 16 15.6839
8 7.961 64 63.6877
12 12.121 144 145.4516
16 16.031 256 256.4955
20 20.021 400 400.4194
24 24.111 576 578.6632
28 28.071 784 785.9871
32 31.751 1024 1016.031
36 36.031 1296 1297.1148
40 39.961 1600 1598.4387
44 43.881 1936 1930.7626
48 48.021 2304 2305.0065
52 52.001 2704 2704.0503
56 56.051 3136 3138.8542
60 60.041 3600 3602.4581
∑0 0 39680 (SSx) 39671.6 (SPxy)
Putting the values
The test statistic is
t= b- β/ sb
t= 0.9998-1/ 0.18493 ( β=1 given)
t=-0.0010815
Since the calculated t=-0.0010815 does not lie in the critical region t ∝/2 (29)= t ≤ - 1.699 , t ≥ 1.699 we conclude that these thermometers seem to be measure temperatures.
The p-value is ≈ 0.999144
there is not enough evidence to reject the null hypothesis.
In ΔMNO, the measure of ∠O=90°, OM = 69 feet, and NO = 16 feet. Find the measure of ∠N to the nearest tenth of a degree.
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Answer:
76.9°
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
tan(N) = OM/ON
N = arctan(OM/ON) = arctan(69/16)
N ≈ 76.9°
HELP PLEASE IT EASY!
+ no files please!!
Answer:
GIVEN :-
Ordered pairs given are :-
(2 , -1)(-5 , 3)(4 , 3)(-2 , -3.5)(0.5 , 1.75)TO FIND :-
Correct quadrant for each ordered pair.FACTS TO KNOW BEFORE SOLVING :-
While writing the co-ordinates of a point , its ordered pair is always in the form of ( x , y ) where x = x-coordinate of the point & y = y-coordinate of the point.In Quadrant 1 , the coordinates of a point is always = ( +x , +y ) because Quadrant 1 lies between the positive side of x-axis & positive side of y-axis.In Quadrant 2 , the coordinates of a point is always = ( -x , +y ) because Quadrant 2 lies between the negative side of x-axis & positive side of y-axis.In Quadrant 3 , the coordinates of a point is always = ( -x , -y ) because Quadrant 3 lies between the negative side of x-axis & negative side of y-axis.In Quadrant 4 , the coordinates of a points is always = ( +x , -y ) because Quadrant 4 lies between the positive side of x-axis & negative side of y-axis.SOLUTION :-
(2 , -1) is in Quadrant 4 because it's x-coordinate is positive whereas its y-coordinate is negative.(-5 , 3) is in Quadrant 2 because its x-coordinate is negative but y-coordinate is positive.(4 , 3) is in Quadrant 1 because both its x-coordinates & y-coordinates are positive.(-2 , -3.5) is in Quadrant 3 because both its x-coordinates & y-coordinates are negative.(0.5 , 1.75) is in Quadrant 1 because both its x-coordinates & y-coordinates are positive.help asap pls need help by 1230 pt thanks
Answer:
acute, isosceles
Step-by-step explanation:
Acute: all angles are less than 90°
Isosceles: 2 sides are the same length, the other is not
Have a great day! :D
if a1= 7 and r=3, find a4
Answer:
a4 = 189
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient r between consecutive terms is always the same.
The nth term of the sequence is given by:
[tex]a_n = a_1*r^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
In this question:
[tex]a_1 = 7, r = 3[/tex]
The fourth term is:
[tex]a_4 = 7*3^3 = 189[/tex]
So
a4 = 189
answer 4 some free pointz
Answer:
Step-by-step explanation:
Simplify (-32) divided by (-4)
Answer:
[tex] \frac{8}{1} [/tex]
Step-by-step explanation:
[tex] \frac{ - 32}{ - 4} [/tex]
Reduce factor by 4
[tex] \frac{ - 8}{ - 1} [/tex]
A negative divided by a negative equal positve so
[tex] \frac{8}{1} [/tex]
the simplest form of 32/4 is 8/1
find the GCD ( or HCF) of numerator and denominator GCD of 32 4 is 4
divide both the numerator and denominator GCD
32/4 ÷ 4/4
reduce fraction: 8/1
therefore, 32/4 simplify to lowest terms is 8/1.
Determine whether each ordered pair is a solution of the inequality-3x-4y<6
Answer:
it's (6,0) I can't explain though
Jill Kingman pays a $419.00 premium annually. This represents 35% of the total premium. The rest of the premium is paid by her employer.
Use a thousands comma where applicable.
1. the company's percentage
%
2. the total premium $
3. the company's payment $
Calculate the missing values.
Jill Kingman pays a $419.00 premium annually. This represents 35% of the total premium. The rest of the premium is paid by her employer.
Use a thousands comma where applicable.
1. 100 (100% of cost) - 35 = 65% company percent
2. 419.00 ÷ .35 (or, 35%, but use the decimal) = 1197 total premium
3. 0.65 × 1197 = 778.05 company payment
I tried to make it so you could see where the numbers came from, by making the ones bold, others, italics, and other combinations. I hope you understand what I did. I tried to explain how the guy above did it. He did well, so brainliest goes to him.
P9-17 Comparing Investment Criteria [LO1, 2, 3, 5, 7] Consider the following two mutually exclusive projects: Year Cash Flow (A) Cash Flow (B) 0 –$221,117 –$16,136 1 27,200 5,520 2 60,000 8,304 3 60,000 13,962 4 425,000 9,960 Whichever project you choose, if any, you require a 6 percent return on your investment. a. What is the payback period for Project A?
Answer:
3.17 YEARS
Step-by-step explanation:
Payback calculates the amount of time it takes to recover the amount invested in a project from it cumulative cash flows
Payback period = Amount invested / cash flow
Payback period for option A, Product A
Amount invested = –$221,117
Amount recovered in year 1 = –$221,117 + 27,200 = -193,917
Amount recovered in year 2 = -193,917 + 60,000 = -133,917
Amount recovered in year 3 = -133,917 + 60,000 = -73,917
Amount recovered in year 4 = -73,917 + 425,000 = 351,083
Payback period = 3 years + (73,917 / 425,000) = 3.17 years
5 times the sum of 24 and 7
Answer:
Your answer should be 155!
Step-by-step explanation:
Sum means to add, so 24 + 7 = 31
31 x 5 = 155
I hope this helps!
A summation, also called a sum, is the result of arithmetically adding numbers or quantities. 155 is the answer for 5 times the sum of 24 and 7.
What is Sum?A summation, also called a sum, is the result of arithmetically adding numbers or quantities.
Given,
5 times the sum of 24 and 7
Sum is nothing but addition.
When we see the word sum it means we are adding some value with other factor. In the given problem 24 and 7 are added.
Times means multiplication.
We have to convert 5 times the sum of 24 and 7 to expression.
When we see times, it means product or we are multiplying a number with the other number. Here with 5 we are multiplying the sum of 24 and 7.
5×(24+7)
Firstly we calculate value in parenthesis.
twenty four plus seven is thirty one.
5×31
The product of 5 and 31 is 155.
155
Hence 155 is the answer for 5 times the sum of 24 and 7.
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The angles in this diagram are complementary. What is the value of x?
(4x)
(2x + 6)
Answer:
2(4)+6(4)
Step-by-step explanation:
Distribute
(4)(2+6)
(4x)(2x+6)2(4)+6(4)
2x(4x)+6(4x)
Solution
2(4)+6(4)
Please give brainliest :)
-3x + 2 ≤ 14= ? [tex]-3x +2 \leq 14[/tex]
Answer: x>=-4
Step-by-step explanation:
-3x+2<=14
subtract 2 from both sides,
-3x<=12
Divide by -3, because you are dividing by a negative, the sign gets flipped
X>=-4
(-14, 3), (20, -11) slope
Answer:
= -7/ 17
Step-by-step explanation:
To find the slope when given two points
m= ( y2-y1)/(x2-x1)
= ( -11-3)/(20- -14)
= (-11-3)/(20+14)
= -14/34
Divide top and bottom by 2 to simplify
= -7/ 17
Answer:
-7/17
Step-by-step explanation:
Plug these points into the equation y2-y1/x2-x1. In this case, the y2 value is -11 and the y1 value is 3. In this case, the x2 value is 20 and the x1 value is -14. Therefore, the equation is -11-3/20--14. This is equal to -14/20+14 which is equal to -14/34. This is equal to -7/17. Therefore, the slope is -7/17
If this helps please mark as brainliest
What is the end behavior of this radical? f(x) = 4 square root x - 6
Answer:
I think you can answer it with a chart, I guess, of course I'm not sure♀️
4( − 5 ) – 10 = 2 ( + 6 ) and check your answer
Answer:
- 30 < 12
Step-by-step explanation:
4(- 5) - 10 = 2 (+ 6)
- 20 - 10 = 12
- 30 < 12
Solve for X
A.45
B.35
C.25
D.30
1/10 *as a fraction* divided by 5
Please help! Fast!!
Answer:
1/50
Step-by-step explanation:
1/10÷5/1=
1/10•1/5=
1/50
Work out the mean for the data set below: 5, 6 Give your answer as a decimal.
Answer:
5.5
Step-by-step explanation:
5 + 6 =
11 / 2 =
5.5
find the perimeter of each polygon. Assume that lines which appeared to be tangent are tangent.
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Answer:
A) 54.4
Step-by-step explanation:
The perimeter of a circumscribing quadrilateral is twice the sum of the lengths of opposite sides.
P = 2(17.6 +(2.9 +6.7)) = 2(27.2)
P = 54.4
Answer:
perimeter of each polygon
A fair die is cast four times. Calculate
the probability of obtaining exactly two
6's.
Round to the nearest tenth of a
percent.
[ ? ]%
Step-by-step explanation:
You can solve this using the binomial probability formula.The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.Then, we can set the equation as follows: P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k) n=4, x=2, k=2when x=2 (4 2)(1/6)^2(5/6)^4-2 = 0.1157when x=3 (4 3)(1/6)^3(5/6)^4-3 = 0.0154when x=4 (4 4)(1/6)^4(5/6)^4-4 = 0.0008Add them up, and you should get 0.1319 or 13.2% (rounded to the nearest tenth)Given the equation of a circle below, find the diameter of the circle. Use only the digits 0-9 to enter the diameter.
Answer:
10
Step-by-step explanation:
Standard form for a circle is
(x - h)² + (y - k)² = r²
where (h, k) is the center and r is the radius
--------------------------------
x² + y² - 18x + 24y = -200
Rearrange
(x² - 18x) + (y² + 24y) = -200
Complete the square for x
(x - 9)² + (y² + 24y) = -200 + (-9)²
Complete the sqaure for y
(x - 9)² + (y + 12)² = -200 + (-9)² + 12²
(x - 9)² + (y + 12)² = 25
Now the equation is in standard form
r² = 25
r = 5
Therefor Diameter = 10
Help me please? I’ll give out brainly. No links.
Answer:
A = 8 unites
Step-by-step explanation:
8 - 2 = 6
the y-intercept stays the same
only x-intercept changes
Answer:sorrY mAaM cAnt heLp yOu
Step-by-step explanation:
An equation of the line through the points (-2.5) and (3, -4) is:
Grade 5 math. ! 30 points !
During the month of june, jessica volunteers at a library every 6 days and at a veterinarians office every 10 days. jessica’s first visit to the library was on June 6 and her first visit to the veterinarian office was on June 1th.
What day in June will jessica volunteer at both locations?
Anwser Options
june 6
june 10
june 18
june 20
june 24
june 30
The day in June, Jessica volunteered at both locations if she volunteers at the library every 6 days and at a veterinarian's office every 10 days is June 30, so option F is correct.
What is LCM?The abbreviation LCM stands for "Least Common Multiple." The smallest multiple that two or more numbers share is known as the least common multiple.
For instance: The LCM of 2 and 3 is 6.
Given:
Jessica volunteers library every 6 days,
Jessica's veterinarian's office, every 10 days,
So for her visit to both, the place takes the LCM of 6 and 10,
LCM of 6 and 10 = 30,
Hence, on the 30th day, she visits both places so if she starts volunteering from the 1st of June then she will visit both places on the 30th of June.
Therefore, The day in June, Jessica volunteered at both the location if she volunteers at a library every 6 days and at a veterinarian's office every 10 days. Jessica’s first visit to the library was on June 6 and her first visit to the veterinarian's office was on June, 1st is June 30.
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Answer:June 30th
Step-by-step explanation:
So Jessica volunteers every 6 days and 10 days at different places.From June 6th and June 1st you see which one is good for both of them and then June 30th is the answer.
Choose the Inequality that matches the graph below.
Answer:
The answer would be A
Step-by-step explanation:
Because the circle is an open circle, also its point towards the positive so that means A is the correct answer
HELP! PLEASEEEEE
IMAGE BELOW!
Answer:
Quadrant I and Quadrant II
Step-by-step explanation:
Quadrant I has both positive x and y coordinates,Quadrant II has a negative x coordinate but the y coordinate is positive.
observa con atencion los siguientes desarrollos planos y encierra con cual de ellos se puede armar cada cuerpo uno de ellos tiene dos respuestas
Answer:
Can you give it in a english
Step-by-step explanation:
What is the expected value for the binomial
distribution below?
1/3125
4/625
32/625
128/625
256/625
1024/3125
999.224
Step-by-step explanation:
Expected value = Summation of (x•px)
px is addressed as pdf (probability distribution function)
x px. x•px
1. 1/3125. 1/3125
20. 4/625. 16/125
160. 32/625. 1024/125
640. 128/625. 16384/125
1280. 256/625 65536/125
1024. 1024/3125. 335.544
total:. 1. 999.224
taking my pdf as x/3125
The expected value of the binomial distribution is 4
How to determine the expected value?The expected value of a binomial distribution is calculated using:
[tex]E(x) = \sum x * P(x)[/tex]
Using the table of values, we have:
[tex]E(x) = 0 * 1/3125 + 1 * 4/625 + 2 * 32/625 + 3 * 128/625 + 4 * 256/625 + 5 * 1024/3125[/tex]
Evaluate the expression
E(x) = 4
Hence, the expected value of the binomial distribution is 4
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Image below! PLEASE HELP! THIS IS DUE!
Answer:
270 if not simplified and
1/1 if simlifies
Step-by-step explanation:
A property that offers a 7.5 percent return on the listing price has a monthly net of $810.
The property is listed at
Answer:
$129,600
Step-by-step explanation:
Given that
The return percentage is 7.5%
And, the monthly net is $810
We need to find the property listed price
Since we assume that the return percentage is on annual basis
So, for monthly, it is
= 7.5% ÷ 12
= 0.625%
Now the property listed price is
= $810 ÷ 0.625%
= $129,600