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.
The data provides no evidence at the 0.1 significance level that these thermometers are not consistent.
Step-by-step explanation:
This is called testing hypotheses about β, the population regression co efficient.
The null and alternate hypotheses are
H0: β1= 1 and Ha: β1 ≠1
The significance level is ∝=0.1 and ∝/2 is 0.05
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
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.
Someone help me pls!!!!????
Answer:
Greatest would be Chlorine Krypton Argon Fluorine and least Hydrogen
Answer:
J, I, G, K, H.
Step-by-step explanation:
The elements go from least to greatest, and since they are negatives, we sort them from the highest negative to the lowest negative.
find the principle of money if intrest in 3 years with 5 percent per annum is rs 300
Answer:
HI from Nepal
Answer:
let principal be x
interest =Rs300
time=3 years
rate=5%
To find principal use formula,
Interest=P*T*R/100
Rs300=x*3*5/100
Rs300*100=15x
Rs30000=15x
Rs30000/15=x
Rs2000=x
Step-by-step explanation:
therefore principal=Rs 2000
Two squares were used to form a figure. The side length of each square is shown.
8 m
What is the area of the part of the figure that is NOT shaded?
F 80 m2
G 16 m
H8 m2
J 48 m²
Answer:
i think the area if shadded region is 16m
Use the graph of the exponential function to answer the following question.
1 x)
21
2
-2
Which statements about the graph of the exponential function f(x) are TRUE? Select all that apply.
A. The range is all real numbers.
B. f(x) is positive for all x-values less than 1.
C. As x increases, f(x) approaches, but never reaches, -1.
D. The x-intercept is 2.
Need help quick thank you in advance
Answer:
eeeerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrm i have no idea
Step-by-step explanation:
#1
Solving for x only
[tex]\\ \sf\Rrightarrow x+90+55=180[/tex](Linear pair
[tex]\\ \sf\Rrightarrow x+145=180[/tex]
[tex]\\ \sf\Rrightarrow x=35°[/tex]
#2
[tex]\\ \sf\Rrightarrow x+32=90[/tex]
[tex]\\ \sf\Rrightarrow x=90-32=58°[/tex]
And
[tex]\\ \sf\Rrightarrow y+x=90°[/tex]
[tex]\\ \sf\Rrightarrow y=90-58=32°[/tex]
Mr. Harris had 35 players try out for the softball
team, but he cut some players from the team.
By the end of tryouts, the team still had more
than 25 players. (Use p as a variable.)
Answer:
35-P=25
Step-by-step explanation:
P= Number of players he cut
Plz help me well mark brainliest if correct.....????
Answer:
The answer would be C. 31
Step-by-step explanation:
Answer:
Hello There!!
Step-by-step explanation:
15 Girls like fantasy books and 16 boys like fantasy books so in total the students that like fantasy books are 31.
hope this helps,have a great day!!
~Pinky~
Find all exact solutions of the equation on the interval [0, 2π).
cosxtanx=cosx
Answer:
[tex]\displaystyle x=\left\{\frac{\pi}{4}, \frac{5\pi}{4}\right\}[/tex]
Step-by-step explanation:
We want to solve the equation:
[tex]\cos(x)\tan(x)=\cos(x)[/tex]
On the interval [0, 2π).
First, we can subtract cos(x) from both sides:
[tex]\cos(x)\tan(x)-\cos(x)=0[/tex]
Factor:
[tex]\cos(x)\left(\tan(x)-1\right)=0[/tex]
Zero Product Property:
[tex]\cos(x)=0\text{ or } \tan(x)-1=0[/tex]
Solve for each case:
[tex]\cos(x)=0\text{ or }\tan(x)=1[/tex]
Using the unit circle:
[tex]\displaystyle x=\left\{\frac{\pi}{4}, \frac{\pi}{2}, \frac{5\pi}{4}, \frac{3\pi}{2}\right\}[/tex]
However, since tangent isn't defined for π/2 and 3π/2, we remove them from our solutions. Hence:
[tex]\displaystyle x=\left\{\frac{\pi}{4}, \frac{5\pi}{4}\right\}[/tex]
Imagine we paint a 4x4x4 cube blue on every side.how many of the small cubes have 3 blue faces? How many have 2 blue faces? How many have 1 blue face? How many have not been painted at all? And how many faces would be painted in a cube of any size.think visually
PLEASE ANSWER ASAP. WILL MARK BRAINLIEST!
URGENT!!!!!!!!!!!!!! Three ballet dancers are positioned on stage. If Ryan is 8 meters straight behind Nina and 6 meters directly left of Heather, how far is Nina from Heather? wil give 50 points for right answer but will delete point takers
Answer:
Is the answer to the :
1st is 9
2nd is 17
3rd is 20
4th is 5
5th is 6
If it helps you....then please mark brainliest
Step-by-step explanation:
Which of the following ordered pairs lies on the graph of y= tanx?
Answer: A/ first answer
Step-by-step explanation: it is that beacause it is paired to y=tanx
HELP!!! WILL GIVE BRAINLIEST +LIKE AND 5 STARS ANSWER THE QUESTION IN THE PICTURE
Answer:
b, c , a
Step-by-step explanation:
I am guessing
Answer:
B, C, D
Step-by-step explanation:
What is the domain for √(3x-3)? *
all real numbers except x=1
all real numbers for x≥1
all real numbers for x≥0
all real numbers except x=0
14. What is the length of a diagonal of rectangle EFGH? Show your work
Answer:
The length of the diagonal of the rectangle is of [tex]\sqrt{58}[/tex] units.
Step-by-step explanation:
Pythagorean theorem:
The square of the hypothenuse h is equal to the sum of the squares of sides a and b, that is:
[tex]h^2 = a^2 + b^2[/tex]
Diagonal of a rectangle:
The diagonal is the hypothenuse, while the sides are a and b.
In this question:
The height has coordinates are y = 9 and y = 12, so the height is [tex]a = 12 - 9 = 3[/tex]
The length has coordinates at [tex]x = -6, x = -13[/tex], so the length is [tex]b = -6 - (-13) = 7[/tex]
Diagonal:
[tex]d^2 = a^2 + b^2[/tex]
[tex]d^2 = 3^2 + 7^2[/tex]
[tex]d^2 = 9 + 49[/tex]
[tex]d^2 = 58[/tex]
[tex]d = \sqrt{58}[/tex]
The length of the diagonal of the rectangle is of [tex]\sqrt{58}[/tex] units.
Find the inverse function.
A circle has a diameter of 10cm. Find the Area of this circle. Use 3.14 for Pi.
Step-by-step explanation:
to find area
A = Pi x r^2
r = d/2 = 10/2 = 5
A list of numbers is shown; 1 2 3 4 5 6 7 8 9 10
what is the median
A.2
B.4
C.9
D.10
Answer:
5.5
Step-by-step explanation:
We have a list of 10 numbers (n = 10) ordered from lower to higher.
1 2 3 4 5 6 7 8 9 10
The median is the value separating the higher half from the lower half of a data sample. Since n is even, there is no middle value and the median is defined as the mean between the two middle values, in this case, 5 and 6. Then,
median = 5 + 6 / 2 = 5.5
Convert x^2+ (y + 8)^2= 64 to a polar equation that
expresses r in terms of theta.
Answer:
their graphed
Step-by-step explanation:
This question refers to unions and intersections of relations. Since relations are subsets of Cartesian products, their unions and intersections can be calculated as for any subsets. Given two relations R and S from a set A to a set B, R ∪ S = {(x, y) ∈ A ✕ B | (x, y) ∈ R or (x, y) ∈ S} R ∩ S = {(x, y) ∈ A ✕ B | (x, y) ∈ R and (x, y) ∈ S}. Let A = {−4, 4, 7, 9} and B = {4, 7}, and define relations R and S from A to B as follows. For every (x, y) ∈ A ✕ B, x R y ⇔ |x| = |y| and x S y ⇔ x − y is even. Which ordered pairs are in A ✕ B, R, S, R ∪ S, and R ∩ S? (Use set-roster notation to enter your answers.) A ✕ B = R = S = R ∪ S = R ∩ S =
The ordered pairs in each set are:
A ✕ B = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 4), (7, 7), (9, 4), (9, 7)}
R = {(-4, 4), (4, 4), (7, 7), (9, 9)}
S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}
R ∪ S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}
R ∩ S = {(-4, 4), (4, 4), (7, 7), (9, 9)}
We have,
A ✕ B:
The concept of Cartesian product was used to generate all possible ordered pairs by pairing each element from set A with each element from set B.
R:
The concept of the absolute value was used to determine the condition for an ordered pair (x, y) to be in relation R, which is that the absolute value of x is equal to the absolute value of y.
S:
The concept of even numbers was used to determine the condition for an ordered pair (x, y) to be in relation S, which is that the difference between x and y is an even number.
R ∪ S:
The concept of a union was used to combine the ordered pairs that are in either relation R or relation S.
R ∩ S:
The concept of intersection was used to find the ordered pairs that are common to both relation R and relation S.
Thus,
The ordered pairs in each set are:
A ✕ B = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 4), (7, 7), (9, 4), (9, 7)}
R = {(-4, 4), (4, 4), (7, 7), (9, 9)}
S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}
R ∪ S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}
R ∩ S = {(-4, 4), (4, 4), (7, 7), (9, 9)}
Learn more about sets here:
https://brainly.com/question/8053622
#SPJ4
Select the correct answer.
If , what is the value of ?
A.
24
B.
50
C.
84
D.
75
heres the answer :) uhh i need 20 wrds so uhhhhhskcljadj
Help #1-4 please please just add the symbol addition , subtraction , multiplication or division . I tried 1.subtraction 2&3 division & 4 multiplication but they are wrong so please help
Problem 1
Operation = Subtraction
Estimated answer = 8 dollars
----------------------------
Explanation:
The regular price is estimated at $45, while the sale price is estimated at $37. The two subtract to get 45-37 = 8 dollars, which is about how much you save if you go for the discount price.
The actual amount saved is 45.32-36.50 = 8.82
==========================================================
Problem 2
Operation = Division
Estimated answer = 75 cents
----------------------------
Explanation:
$3.45 rounds to $3
Divide this over 4 to get 3/4 = 0.75, meaning each battery is 75 cents
The actual cost per battery is 3.45/4 = 0.86 dollars = 86 cents.
==========================================================
Problem 3
Operation = Division
Estimated answer = $10
----------------------------
Explanation:
Round $37.45 to the nearest ten to get $40; we could round to 37 but that's an oddball number in my opinion compared to 40. Plus 40 is divisible by 4, leading to 40/4 = 10. Each person chips in about 10 dollars.
The actual amount each person pays is 37.45/4 = 9.36
==========================================================
Problem 4
Operation = Multiplication
Estimated answer = 180 miles
----------------------------
Explanation:
18.75 rounds to 20, which we multiply by 9 to get 180
So the car can travel about 180 miles on 9 gallons. This is an overestimate because 18.75 rounded up to 20
The actual value is 18.75*9 = 168.75
FREEEEEEE POINTZZZZ
MATH WORDS FOR WORD COUNT: ADD SUBTRACT EQUATION
Answer:
Ayeeeeeeeeeeeeee
Step-by-step explanation:
Thanks a lot! Have a good day!
Answer:
Thanks
Step-by-step explanation:
A piece of wood has the dimensions shown. What is the area of the piece of wood?
21 m
2 m
9 m
10 m
12 m
Help pls
Help !!!!!!!!!!!!!!!!!!!!!
[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]
2
1+3
1+32+2
Thanks Thanks Hope it helpsAnswer:
1+3=4
2+2=4
there are only 2 possible ways in which the sum will add up to 4
therefore the answer is 2
Solve for <2.
499
62 = [?]
44/42
Answer:
Solution given'
<2+90+49=180°[sum of interior angle of a triangle]
<2=180-139
<2=41°
Triangle has vertices A(-1, 3), B(-2, 1), and C(0, 4). If the triangle is reflected over the y-axis, what are the coordinates of A'?
Answer: A’ (1, 3)
Step-by-step explanation:
Reflecting in the y-axis will only reverse the x values
help with Inscribed angles!!!!!!!!!!!!!!!!!!!!
Answer:
x = 30°
x = 80°
Step-by-step explanation:
Recall: an inscribed angle is half the measure of the intercepted arc
Thus:
x = ½(arc cb)
Substitute
x = ½(60)
x = 30°
x = ½(arc ab)
Substitute
x = ½(160)
x = 80°
HELP PLEASEEE
A bucket contains stones and seashells. There are 18 seashells in the bucket and the ratio of stones to seashells is 2 to 1. Find the number of stones in the bucket.
Using proportions, it is found that the number of stones in the bucket is of 36.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, there are 18 seashells, and the ratio means that for each seashell, there are 2 stones, hence:
S = 18 x 2 = 36.
The number of stones in the bucket is of 36.
More can be learned about proportions at https://brainly.com/question/24372153
If John solved the equation x? - 10x + 8 = 0 by completing the
square, one of the steps in his process would be
(1) (x-5)^2 = -8
(2) (x-5)^2 = 17
(3) (x+ 4)^2 = 10x
(4) (x + 4)^2 = 10x + 16
Answer:
[tex](x - 5)^{2} =17[/tex]
Step-by-step explanation:
[tex]x^{2} -10x = -8 \ add \ and \ subtract \ 25;\\x^2-10x+25-25= -8\\(x-5)^2 - 25 = -8\\(x-5)^2 = 17\\x-5=+\ \sqrt{17} \\\x_{1,} _{2} =5+\sqrt{17}[/tex]
3
Triangle ABC is similar to triangle DEF.
+
12 units
D
A
8 units
6 units
What is the value of k in units?
A 9 units
B 10 units
C 16 units
D 4 units
Answer:
16units is the correct answer