Answer:
Define a sequence of random variables B, Does the sequence of random variables Bre n converge in probability to a constant b? If yes, enter the value of b below, if no, enter "DNE". (Enter e for the constant e)
B6- As above, let a be the limit in probability of An, ie. An a, and b be the limit in probabiity of Bn = 4, i.e. Br*b, if these limits exist. Does the sequence of random variables (Br-b) converge in distribution? Choose the correct characterization of the limit distribution: O N (0,1) O N 0, "Var (X2) O N (0, "Var (x2)) O N (0, 24Var (X²)) O N 0, e?Var (An)) O Does not converge in distribution
Step-by-step explanation:
Define a sequence of random variables B, Does the sequence of random variables Bre n converge in probability to a constant b? If yes, enter the value of b below, if no, enter "DNE". (Enter e for the constant e)
B6- As above, let a be the limit in probability of An, ie. An a, and b be the limit in probabiity of Bn = 4, i.e. Br*b, if these limits exist. Does the sequence of random variables (Br-b) converge in distribution? Choose the correct characterization of the limit distribution: O N (0,1) O N 0, "Var (X2) O N (0, "Var (x2)) O N (0, 24Var (X²)) O N 0, e?Var (An)) O Does not converge in distribution
The correct characterization of the limit distribution and other Questions are answered in the following steps.
For the first question, the distribution of (An-a) is approximated best by N(0, n) because the variance of the sample mean of i.i.d. standard normal variables is 1/n.
For the second question, since An converges in probability to a constant, Bn = 4An also converges in probability to 4a. Therefore, the sequence of random variables (Bn-b) does converge in distribution.
For the third question, the limit distribution of (Bn-b) is N(0, 4^2 * n) because the variance of the product of a random variable and a constant is the constant squared times the variance of the random variable.
Learn More about Limit Distribution here:
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Which table shows ordered pairs that satisfy the function y = x + 1?
А
X
12
0
2
- 4
1
4
B
-2
0
2
5
0
5
С
X
y
5
-2
0
2.
1
5
D
x
y
-24
0 2
2 4
Answer:
Knowledge Check The table of ordered pairs (x, y) gives an exponential function. Write an equation for the function. x y -1 6 0 12 1 1 24 2. 48 88 O х ? I Don't ...
Step-by-step explanation:
A company that manufactuers small canoes has a fixed cost of $14,000. It cost $40 to produce each canoe. The selling price is $80 per canoe
Answer:
The company manufactures about 350 canoes, obtaining $ 28,000 after selling them all.
Step-by-step explanation:
Given that a company that manufactures small canoes has a fixed cost of $ 14,000, and it cost $ 40 to produce each canoe while the selling price is $ 80 per canoe, to determine the number of canoes that the company produces and the amount of money it makes after selling them, the following calculation must be carried out:
14/000 / 40 = X
350 = X
350 x 80 = 28,000
Thus, the company manufactures about 350 canoes, obtaining $ 28,000 after selling them all.
It is believed that GPA (grade point average, based on a four point scale) should have a positive linear relationship with ACT scores. The Excel output from regressing GPA on ACT scores using a data set of 8 randomly chosen students from a Big Ten university gives R Square = 0.5774 The interpretation of the coefficient of determination in this regression is that
Options :
B) ACT scores account for 57.74% of the total fluctuation in GPA.
B) ACT scores account for 57.74% of the total fluctuation in GPA.
C) GPA accounts for 57.74% of the variability of ACT scores.
D) None of the above.
Answer:
B) ACT scores account for 57.74% of the total fluctuation in GPA.
Step-by-step explanation:
The R-squared value, called the Coefficient of determination gives the percentage or proportion of variation in the dependent variable which is due to or caused by the independent variable.
In the study above, the independent variable is the ACT score, is used to draw a regression relationship between the GPA of students, with GPA being the dependent variable.
The R² :value being 0.5774 means that (0.5774 * 100%) = 57. 74 % of variation in students GPA is caused by the regression line (independent variable which is the ACT SCORE).
HENCE, we can conclude that ACT Score is responsible of 57. 74 % variation in GPA while the remaining percentage is due to other factors.
The population of a city is 100,000 and the annual growth rate is 4.2%. Write an equation to model the population y after x years.
Answer:4.2 times every 100000y=420000x for every year)
Step-by-step explanation:
What is 5.5 divided by 1.68
WITH STEP BY STEP EXPLANATION
The value of an autographed baseball card increased from $39 to $65 what is the percent increase in value of the baseball card?
:
The percent increase is found by finding the difference between the two prices and then dividing that different by the beginning price.
For this example it would be 65-39= $26. So $26/$39(the starting price) is 0.666... This is equivalent to about 66.67%. So, the price of the card increased by about 66.67%
Answer:
66.7%
Step-by-step explanation:
the value increased by 26
percentage increase =increase /initial value ×100
=26/39×100=66.7%
The overall distance traveled by a golf ball is tested by hitting the ball with Iron Byron, a mechanical golfer with a swing that is said to emulate the legendary champion, Byron Nelson. Ten randomly selected balls of two brands are tested and the overall distance measured. Assume the data are normally distributed. The data follow:
Brand 1 257 276 260 262 287 271 260 265 283 271
Brand 2 273 281 279 275 271 270 263 267 263 268
1) Is there evidence to show that there is a difference in the mean overall distance of brands? Use alpha = 0.05.
2) Calculate a 95% two-sided confidence interval on the difference in mean overall distance.
Answer:
1) Since the calculated value of t = -0.241640 does not fall in the critical region so we accept H0 and conclude that there is not enough evidence to show the difference in the mean overall distance of brands.
2) The 95% CI is [-18.587; 1.01242]
Step-by-step explanation:
The given data is
Brand 1 257 276 260 262 287 271 260 265 283 271
Brand 2 273 281 279 275 271 270 263 267 263 268
Difference d -16 -5 -19 -13 -16 - 01 -3 -2 20 3 ∑ -98
d² 256 25 361 169 256 1 9 4 400 9 ∑1490
1) Let the hypotheses be
H0: ud= 0 against the claim Ha: ud ≠0
2) The degrees of freedom = n-1= 10-1= 9
3) The significance level is 0.05
4) The test statistic is
t= d`/sd/√n
5) The critical region is ║t║≤ t (0.025,9) = ±2.262
Calculations
6) d`= ∑di/n= -98/10= -9.8
Sd²= ∑(di-d`)²/n-1 = 1/n-1 [∑di²- (∑di)²n]
= 1/9[1490-(-9.8)²/10] =1/9 [1490-9.604]= 164.4884
Sd= 12.825
Therefore
t= d`/ sd/√n
t= -9.8/ 12.825/√10
t= -0.764132/3.16227= -0.241640
7) Conclusion:
1) Since the calculated value of t = -0.241640 does not fall in the critical region so we accept H0 and conclude that there is not enough evidence to show the difference in the mean overall distance of brands.
2) The confidence interval for the difference of two samples can be calculated by
d ` ± td sd/√n
Putting the values
-9.8 ±2.262* 12.825/√10
[-18.587; 1.01242]
Sketch a graph of X= –2
Answer:
It's just a vertical line extending in both directions for infinity at x=-2
Step-by-step explanation:
Graph is in ss
shown below are the statements and reasons to the proof. they are not in correct order. which of these is the most logical order for the statements
Answer:
Answer is B
Step-by-step explanation:
I just did it.
Answer:
b
Step-by-step explanation:
I know because of the kid above this
The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are actually caught. Step 1 of 2: Suppose a sample of 1453 suspected criminals is drawn. Of these people, 377 were captured. Using the data, estimate the proportion of people who were caught after being on the 10 Most Wanted list. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Answer:
The proportion of people who were caught after being on the 10 Most Wanted list is 0.259.
Step-by-step explanation:
Proportion of people who were caught after being on the 10 Most Wanted list.
Number of people caught divided by the size of the sample.
In this question:
377 people caught.
1453 suspected criminals.
Then
[tex]p = \frac{377}{1453} = 0.259[/tex]
The proportion of people who were caught after being on the 10 Most Wanted list is 0.259.
I need help with this question
Answer:
14x+4 = 4x+44
14x - 4x = 44 - 4
10x = 40 ...... x = 4
《60°》.....
5y = 120
y = 120/5 => y = 24
The refrigerator part of a refrigerator-freezer has a volume of 27 cubic feet.
The freezer part is 2 feet high, 2 feet deep and 3 feet wide.
What is the total volume of the refrigerator-freezer?
Answer:
39
Step-by-step explanation:
Is this correct? Pls help me
Answer:
I Belive so
Step-by-step explanation:
Which would be the best trend line for the given data set?
A) y=x+4
B) y=-x+4
C) y=-1/4x+2
D) 1/4x+2
Circle P has a circumference of approximately 75
inches.
What is the approximate length of the radius, r? Use 3.14
for y. Round to the nearest inch,
12 inches
D24 inches
38 inches
46 inches
Answer:
12 in
Step-by-step explanation:
C=2pi *r
75/2(3.14)=r
r=75/6.28
~11.94~12 inches
if my answer helps please mark as brainliest
Answer:
12 in
Step-by-step explanation:
Circumference:
C = 2πr
75 = 2(3.14)r
75 = 6.28r
r = 75/6.28
r = 11.95 ≈ 12
please answer this thanks
Answer:
try using an online calculator, it might help
Consider the equation below.
Determine which equation has the same solutions as the given equation.
Answer:
B, (x-5) square =21
Step-by-step explanation:
B, (x-5)square =21
What is the product of (6a + 7) (5a – 4)?
Answer:
30a²+11a−28
Step-by-step explanation:
(6a+7)(5a−4)
=(6a+7)(5a+−4)
=(6a)(5a) + (6a)(−4) + (7)(5a) + (7)(−4)
=30a² − 24a + 35a − 28
=30a² + 11a − 28
Hope I helped! (p.s. maybe brainliest answer)
A 5-pound bag of sugar costs $3.90. What is the unit rate?
please answer asap! no scam links or scam comments or reported.
Answer:
B
Step-by-step explanation:
HELPPPPPPP PLEASEEEEE WILL GIVE BRAINLEST
ON Answe
a. Without using mathematical table or calculator, simplify.
1271
Answer:
Step-by-step explanation:
1271 = 31 *41
31 and 41 are prime number.
PLZ HELP i rlly need it i am not good a t algebra
Evaluate the following expressions when x = 5. Show your work.
Hint: Remember to use BEDMAS
My question: 2x+3
Answer:
13
Step-by-step explanation:
substitute the five into the equation. :)
Dan bought 5 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 46 cards left. How many cards did Dan start with ? show equation
Answer:
79
Step-by-step explanation:
Let's say that N is the number of cards.
So the first step is N+5, because dan bought 5 new cards.
Next his dog ate half the collection, so the 2nd piece of the problem is [tex]\frac{N+5}{2}[/tex]
The last step is to now make it an equation. Because there are now 46 cards left, [tex]\frac{N+5}{2}[/tex]=42.
Now solve for N which is N+5=84=> N=79
brainliest would be appreciated!
if 15 citizens are chosen, what is the probability that 10 of them are favoring the substation
Answer:
10/15
Step-by-step explanation:
The probability is 10/15 or 67% chance
Which statement is true?
CLEAR CHECK
All whole numbers are rational numbers.
All integers are whole numbers.
All rational numbers are integers.
None of the above
Answer:
c
Step-by-step explanation:
that's the answer sjakskkeieiidix
What are vertical angles? If ZA and ZB are vertical angles, what is true about their
measures?
Answer:
45 i think
Step-by-step explanation:
[tex]\huge{ \mathbf{ \underline{ Answer }\: \: ✓ }}[/tex]
Vertical Angles are pair of two angles opposite to each other formed by two lines intersecting each other. And they have equal measures.
So, if [tex]\angle A[/tex]\angle B[tex][/tex] are vertical angles then they have equal measures .
[tex] \large\boxed{ \angle A = \angle B}[/tex]
_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
Find the value of x.
Answer:
Not exactly sure if this is right.
I am pretty sure that 10 and x-3 are like congruent angles.
So x - 3 = 10
Add 3 to both sides.
x = 13.
Hope this helps!
Consider the figure below in which 411122.
a b
cld
4
elf
12
gh
Select the angle(s) that are congruent to Zc.
Options
Answer:
its a and d
Step-by-step explanation:
Solve the problem.
The area of a square is 81 square centimeters. If the same amount is added to one dimension and removed from the other, the resulting
rectangle has an area 9 square centimeters less than the area of the square. How much is added and subtracted?
A. 3cm
B. 9cm
C. 12 cm
D. 4cm
Answer:
c
Step-by-step explanation: