g Refer to the Environmental Geology (Vol.58, 2009) simulation study of how far a block from a collapsing rockwall will bounce down a soil solpe. Rebound lengths (in meters) were estimated for 13 rock bounces. The data are presented below. Consider a test of hypothesis for the variation in rebound lengths for the theoretical population of rock bounces form the collapsing rockwall. In particular, a geologist wants to determine if the variance differs from 10 m 2. 10.94 13.71 11.38 7.26 17.83 11.92 11.87 5.44 13.35 4.90 5.85 5.10 6.77 a. Specify the null and alternative hypotheses. Be sure to define the parameter used in your hypotheses. b. Compute the value of the test statistic. c. Determine the rejection region for the test using alpha
Answer:
H0 : σ² = 10
H1 : σ² ≠ 10
X² = 20.124
Pvalue = 0.064776
there is significant evidence to conclude that the rebound lengtb of rockfall down a slope is not 10m²
Step-by-step explanation:
Given the data:
10.94 13.71 11.38 7.26 17.83 11.92 11.87 5.44 13.35 4.90 5.85 5.10 6.77
Using a calculator ;
The sample variance, s² = 16.77
α = 0.10
The null and alternative hypothesis :
H0 : σ² = 10
H1 : σ² ≠ 10
The test statistic :
X² = [(n - 1)*s² ÷ σ²]
s² = 16.77
n = sample size = 13 ; s²
X² = [(13 -1)*16.77 ÷ 10
X² = (12 * 16.77) / 10
X² = 201.24 / 10
X² = 20.124
The Pvalue using a Pvalue calculator ; degree of freedom (df) = 13 - 1 = 12
Pvalue = 0.064776
Pvalue < α ; Hence we reject the null
Hence, there is significant evidence to conclude that the rebound lengtb of rockfall down a slope is not 10m²
Find the total area:
Answer:
518 cm squared
Step-by-step explanation:
Answer:
518 cm²
Step-by-step explanation:
First, we can split the shape into two parts.
The first part will be 8+22(which is the width)x13(29-16, which is the height). This gives us:
30x13=390 cm²
Now, for the next part, we have 8(width)x16(height), which gives us:
8x16=128 cm²
Finally, we add 128+390=518cm²
Solve using substitution. You MUST find both variables to be crowned brainiest
2x + 4y = 40
x - 6y = -36
bill,bob,and joe each have 9 oranges. Then a stranger gave Tim 4 oranges. He then gave 3 to his mother.
What are the ordered pairs of the solutions for the
following system of equations?
(3, [?]); ([ ], [ ])
Answer:
(3,1) ; (6,-2)
Step-by-step explanation:
We have to search the points that the line and the parabola have in common, that are the points where they intercept
(3,1) ; (6,-2)
Find the surface area of the prism.2001
1
1
.5 in.
3 in.
8 in.
Enter only the numerical value with the units of measure.
159. Three percent size is the size
The figure below is a scale drawing of a
rectangular ball room. The scale is 2 cm:4
m.
6 cm.
12 cm.
What is the area of the actual room?
A. 72 m²
B. 144 m2
C. 288 m
D. 576 m
Answer:
Area of the actual room = 288 m²
Step-by-step explanation:
Given:
Scale factor = 2cm to 4 m
Dimension of rectangle ball room = 6 cm and 12 cm
Find:
Area of the actual room
Computation:
Actual dimension of rectangle ball room;
⇒ [6/2]4 = 12 m
⇒ [12/2]4 = 24 m
Area of rectangle = Length x Width
⇒ Area of the actual room = Actual length x Actual width
⇒ Area of the actual room = 12 x 24
Area of the actual room = 288 m²
You are in a 12-member panel. If two people from the panel are selected to represent the panel, what is the probability you
This question is incomplete, the complete question is;
You are in a 12-member panel. If two people from the panel are selected to represent the panel, what is the probability you wont be selected.
[ Two decimal places ]
Answer:
The probability that you be selected is 0.83
Step-by-step explanation:
Given the data in the question;
total number of people in the panel = 12
number of people to be selected from the panel = 2
probability you wont be selected = ?
Number of ways of selecting 2 people from the 12 member panel is;
⇒ ¹²C₂ = 12! / ( 2!( 12 - 2 )! ) = 479001600 / 7257600 = 66
so total number of outcome = 66
Now, number of ways in favor of selecting you and another person from the 12 member panel is;
⇒ ¹C₁ × ¹¹C₁ = [1! / ( 1!( 1 - 1 )! )] × [11! / ( 1!( 11 - 1 )! )] = 1 × 11 = 11
so favorable number of outcome = 11
∴ Probability of selecting you in the panel will be;
⇒ favorable number of outcome / total number of outcome
⇒ 11 / 66 = 1/6
Now, Probability of not selecting you in the panel will be;
⇒ 1 - Probability of selecting you in the panel
⇒ 1 - 1/6
⇒ 0.83
Therefore, The probability that you be selected is 0.83
The graph of g is a translation 3 units up, followed by a reflection in the x-axis of the graph of
f(x) = 2 sin x. Which rule represents g?
Answer: NO GRAPH DUMMY
Step-by-step explanation:
Which equation shows the
commutative property of addition?
A 2x = 2x
B 2x + 3 = 3 + 2x
C 2x - 3 = 2(x - 3)
D 2(x + 3) = 2x + 6
Answer:
B
Step-by-step explanation:
Have a nice day!
jimmy made a circle graph illustrating the results of a survey he took to find the favorite subject of the students in his seventh grade class which subject was chosen as a favorite by exactly 20% of the students
Answer:
Physical education
Step-by-step explanation:
The subject chosen as a favorite by exactly 20% of the students is maths.
What is a percentage?The percentage means the required value out of 100.
It is calculated by dividing the required value by the total value and multiplying it by 100.
The percentage change is also calculated using the same method.
In percentage change, we find the difference between the values given.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
From the circle graph,
Maths = 20%
English = 25%
Hindi = 10%
Science = 45%
We see that,
The subject was chosen as a favorite by exactly 20% of the students in maths.
Thus,
The subject was chosen as a favorite by exactly 20% of the students in maths.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ2
if t=2, what is √18t?
Answer:
s
Step-by-step explanation:
5.5~
Answer:
8.48528137 I think
Can someone help me please???
Answer:
Ummmm. I am going to say it is the 1st one??
Step-by-step explanation:
Answer:
The last one!
Step-by-step explanation:
It is felt that respondents are more likely to be honest when a randomized response survey is used. Subsequently, a substance-abuse prevention program at a university has designed and distributed the following questionnaire to all the employees and students: Flip a coin. If the coin comes up heads, answer Question a; if tails, answer Question b. All answers are anonymous. a. Do you carpool to the school
Answer:
hello your question is incomplete below is the complete question
answer : 18%
Step-by-step explanation:
x = percentage using illicit drugs
sample size = 5000
number of persons with a yes = 1200
also management knows that 30% uses carpool
∴P ( yes ) = P( H and yes to carpool ) + P( T and yes to illicit drug use )
1200 / 5000 = (0.5 * 0.3 ) + ( 0.5 * x )
0.24 = 0.15 + 0.5 x
hence x ( percentage using illicit drug ) = ( 0.24 - 0.15) / 0.5 = 0.18 = 18%
Please help Me ASAP Please
Answer:
217/31=7. He needs to run 7 miles per day.
Find the missing side of this right
triangle.
x
7
14
x= [?]
Enter the number that belongs in the green box.
Answer:
By Pythagoras theorem
x² = 7² + 14²
x² = 49 + 196
x² = 245
X = square root of 245
245 is number that belongs to the green box
The missing side of the right triangle is √245. The number that belongs in the green box is 245
Calculating the side length of a triangleFrom the question, we are to determine the missing side of the given triangle
The missing side of the triangle can be determined by using Pythagoras' theorem
The theorem states that, in a right angle triangle
c² = a² + b²
Where c is the length of the longest side (hypotenuse)
and a & b are the other two sides
From the given information,
Hyp = x;
Let a = 7 and b = 14
∴ x² = 7² + 14²
x² = 49 + 196
x² = 245
x = √245
Heence, the missing side of the right triangle is √245. The number that belongs in the green box is 245.
Learn more on Calculating the side length of a triangle here: https://brainly.com/question/27165976
−2x + 6y = 3 HOW MANY SOLUTIONS?
x − 3y = −3
The system has ....
solution(s).
Answer:
there are about 2-3 possible solution
Step-by-step explanation:
keep practicing , all will be well
-10a×4b+20a^2b+4ab-6ab
Step-by-step explanation:
-10a×4b+20a^2b-2ab
-40ab+20a^2b-2ab
-42ab+20a^2b Answer
I'm not sure...
I have $20 in my investment account if i save $5 each week how much money will I have in the account after 9 weeks? solve using an algebraic equation
Answer:
$135.
Step-by-step explanation:
please click the heart and rate excellent and brainleist to☻❤☺️☺️❤☻
NEED ANSWER ASAP,BRAINLIEST FOR CORRECT ANSWER. IM FAILING SCHOOL
Answer:
angle b= 86 degrees
Step-by-step explanation:
hope this helps, have a nice day :)
Find the probability that a randomly selected point within the white area r=4
Answer:
0.25
Step-by-step explanation:
A [?] degrees
B 43°
C 15°
What is the measure of A?
what number is greater than 6 but less than 7? 20 40 60 or 80
6.5 or 65 :ppppppp I get those goosebumps every time
Triangle AA'B'C' is the image of AABC under a rotation about point P.
What equation is represented by this graph?
Answer:
y= 1.2x+1
Step-by-step explanation:
(0,1) and (-5,-5) are coordinates that you already know and are fs about. So you just see rise over run. 6/5 = 1.2 which is your slope. the y-int is 1 bc thats where it intersects. so your equation is y=1.2x+1
double check:
y = 1.2(-5) + 1
y = -6 + 1
y = -5
coordinates : (-5,-5)
Lines AB and XY are best described as which of the following?
A
BO
A. Perpendicular segments
B. Perpendicular rays
ОООО
C. Parallel lines
D. Perpendicular lines
Lines AB and XY best describe the perpendicular segments. The correct option is A.
What is a line segment?A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Lines AB and XY best describe the perpendicular segments. AS they are cutting each other at 90 degrees.
To know more about line segments follow
brainly.com/question/2437195
#SPJ1
Please help i would really appricate it.
A) (5,-4)
(2,0)
(7,1)
N) (5,-4)
(2,0)
(7,1)
T) (5,-4)
(2,0)
(7,1)
A(2,0) N(7,1) T(5, -4)
<3
The population of New York City is 23,945. Eastdale has a population of 12,774 What is the total population of the two communities
A.35,719
B. 36,619
C. 36,719
D. 37,619
PLEASE HELP ME AS SOON AS POSSIBLE!!!!!! FIVE AND SIX PLEASE
Answer:
5 infinitely
6 i think its 2
Step-by-step explanation: