Answer:
36c2-81
Step-by-step explanation:
It's a difference of squares so you Florida it (FL) do first and last to get 36c2-81
What is the greatest common factor of all the terms: 6m and 18
Answer: 6
Step-by-step explanation:
A fair die, with its faces numbered from 1 to 6, is one in which each number is equally likely to land face up when the die is rolled. On a fair die, the probability that the number 6 will land face up is 16. A group of students wanted to investigate a claim about manipulating a fair die so that it favors one outcome. The claim states that if a fair die is put into an oven and baked at 200°F for 10 minutes, the inside of the die will begin to melt. When the die cools, the inside will be solid again, but with more weight toward the bottom. This shift in weight will cause the face that was up when the die cooled to land up more often that the other faces.
The students obtained a fair die and baked it according to the preceding directions. The die cooled with the number 6 face up. After the die cooled, they rolled the die 200 times, and the number 6 landed face up 43 times. Let p represent the population proportion of times the number 6 will land face up on the baked die if the die could be rolled an infinite number of times.
(a) Clarke, one of the students, constructed a 95 percent confidence interval for p as 0.215±0.057. Does the interval provide convincing statistical evidence that the number 6 will land face up more often on the baked die than on a fair die? Explain your reasoning.
(b) Aurelia, another student, suggested they conduct a significance test to investigate the claim. She tested the hypotheses H0:p=16 versus Ha:p>16 at the significance level of α=0.05. She obtained a test statistic of 1.83 with a p-value of 0.033. Do the results of the significance test agree with the results of Clarke’s confidence interval in part (a)? Explain your reasoning.
(c) Joachim, a third student, noted that the confidence interval in part (a) gives plausible values of the parameter as an interval between two values. He suggested that they develop a one-sided confidence interval because they were only concerned with whether the number 6 was landing face up more often than expected, not less often. The one sided-interval will determine a value L such that all plausible values of p are greater than L. The formula for L is L=pˆ+z∗pˆ(1−pˆ)n−−−−−√.
(i) Determine the values of z∗ needed to create the one-sided 95 percent confidence interval. Then calculate the value of L.
(ii) Do the results of Joachim’s one-sided confidence interval agree with results of Aurelia’s significance test in part (b)? Explain your reasoning.
Answer:
Kindly check explanation
Step-by-step explanation:
pˆ = 43 / 200 = 0.215
A.)
The confidence interval obtained :
0.215 ± 0.057 = (0.158 ; 0.272)
Since, 0.215 is within the confidence interval, we can conclude that, dice will lie face up on baked die more often than fair dice.
B.)
H0:p=16 versus Ha:p>16
Decision :
Reject H0 ; if Pvalue < α
Pvalue = 0.033 ; α = 0.05
0.033 < 0.05 ; we reject H0
HENCE, there is significant evidence to conclude that the proportion of face landing up on a baked dice is greater than 16. HENCE, it agrees with our conclusion in (1).
C.)
L=pˆ+z∗√pˆ(1−pˆ)n
Z critical for a one sided 95% confidence interval is 1.64
pˆ = 0.215
L = 0.215 + 1.64 * √(0.215*0.785) / 200
L = 0.215 + (1.64 * 0.1299134)
L = 0.215 + 0.213057976
L = 0.428
(-∞, 0.428)
A minibus sets off at 7.30 am and arrives
at its destination at 11.45 am.
How long did the journey take?
Answer:
4 hours and 15 minutes
Step-by-step explanation:
989.5 rounded to the nearest whole number
Answer:
990
Step-by-step explanation:
there is none
What is the reciprocal of 56/87?
Answer:
87/448
Step-by-step explanation:
help me I'm really swamped
{H,o,n,l,u}
Just take away all the duplicate letters and voila. funny that i did that question yesterday.
what is the name of the polynomial 7x+1 ?
Answer:
binomial
Step-by-step explanation:
50! POINTS! HELP QUICK!
Which of the following is the equation for the graph shown?
y squared over 4 minus x squared over 12 equals 1
y squared over 16 minus x squared over 12 equals 1
x squared over 4 minus y squared over 12 equals 1
x squared over 16 minus y squared over 12 equals 1
50 points!
In a basketball game, Jaime scored 5 points less than twice the number of points Luis scored. Luis scored 8 points. How many points did Jaime score?
Answer:
Heyy I hope this helps
The answer is 11
Step-by-step explanation:
8×2
=16-5
=11
What is the measure of CED?
The measure of CED is p degree. By AA rule of similarity, Corresponding angles of similar triangles are same. Therefore the measure of CED is p degree.
PLEASE MARK BRAINLIST
y varies jointly as x and z. y = 75 when x = 5 and z = 5. Find y when x = 4 and z=6. y =
Answer:
y = 72
Step-by-step explanation:
Joint proportion is given by the expression;
y = kxz
Given the following values;
y = 75, x = 5 and z = 5
To find the constant, k;
75 = k*5*5
75 = 25k
k = 75/25
k = 3
Next, we find the value of y when x = 4 and z= 6
y = kxz
y = 3*4*6
y = 72
The height of a cylinder is 18 cm. The area of the base of the cylinder is 25 ㎠. Find V.
Why rotation, reflection, and translation are rigid motion?
Answer:
Reflections, translations, rotations, and combinations of these three transformations are "rigid transformations". ... A reflection is called a rigid transformation or isometry because the image is the same size and shape as the pre-image.
Hope it helps!!!
The system of equations y=- x +5 and y= x - 1 is graphed. What is the solution to the system of equations?
Answer:
2(x+1)=3(x-1). 2x+4 = $*-6. -*=-8 .... x=y x=17. 1. x x. X. = 8. X-9=-3x-5 f). 4x=4 x = 1 ... Graphing Linear Equations. Graph ... Solve the inequality and graph the solution on a number line.
Help Please!!!!!!!!!!!!
Graph x>4.
Answer:
graph
Step-by-step explanation:
E
B
AACB = ADCE, AB = 8 and AC = 6
DE = [ ? ]
Answer:
88888888888888888888888888
Step-by-step explanation:
8
Plzzz help me I am
Timed!
Answer:
c
Step-by-step explanation:
structure with a square or triangular base and sloping sides that meet in a point at the top
3) Josie's collection of 39 coins includes twice as many nickels than quarters. If
the sum of the nickels and quarters is $4.55, How many quarters does Josie
have in her collection?
Answer:
13 quarters, 26 nickels.
Step-by-step explanation:
n will be number of nickels, q will be number of quarters, and we have 39 total coins
so n + q = 39 (number of nickels + number of quarters = 39 coins.
The problem also says there are twice as many nickels as quarters. so we can call the number of nickels n or we can call it 2q (2 times the number of quarters)
which means
n + q = 39
2q + q = 39
3q = 39
q = 13
and she has 2 times as many nickels as quarters... 2 x 13 = 26 nickels
LMK if you have questions.
If you want to double check the money,
n(0.05) + q(0.25) = 4.55 is the equation to use.
26(0.05) + 13(0.25) = 1.3 + 3.25 = $4.55
Select all statements that show correct reasoning for finding 15 ÷ 2/3. You must choose two answers.
1) Multiply 15 by 2, then divide by 3.
2)Multiply 15 by 3, then divide by 2.
3)Multiply 15 by 4s, then multiply by 2.
4)Multiply 15 by 3, then multiply by 1/2.
Answer:
2; 4
Step-by-step explanation:
Both work out in the end.
Steve has 7 biscuits in a tin. There are 3 digestive and 4 chocolate biscuits. Steve takes two biscuits at random from the tin. Work out the probability that he chooses two different types of biscuits.
Answer:
3 propability because your just trying to find out how many times he can get two different tyes of biscuits. So your answer is 3
Step-by-step explanation:
I hope this helps!!!
Ryan has 3.25 pounds of hamburger. How many 0.25 pound hamburgers can he make?
Answer:
13
Step-by-step explanation:
3.25/.25 = 13
8^10 x 8^4 simplified write your answer as a power
Answer:
8^14
Step-by-step explanation:
8^10x8^4=8^(10+4)=8^14
(10 POINTS) answer ASAP if you can
Answer: As soon as possible
Step-by-step Explanation: You just say ASAP for As soon as possible
Please help me answer this question..how do I read the graph?
What is the length of the dotted line in the diagram below? Round to the neares
tenth.
x2y when x = - 3/4 and y = 8/15
Answer:
-4/5
Step-by-step explanation:
x2y
(-3/4)(2)(8/15)
(-3/2)(8/15)
-4/5
TThe Education Trust publishes data on U.S. colleges and universities. Six-year graduation rates and student-related expenditures per full-time student for 2007 were reported for the seven primarily undergraduate public universities in California with enrollments between 10,000 and 20,000. Suppose that a 90% confidence interval for the prediction of student expenditures at a university with a graduation rate of 40% was (5,304, 8,686).
Required:
a. Determine the point estimate for the prediction of student expenditures at a university with a graduation rate of 40%.
b. Calculate the margin of error.
c. Calculate the standard error of the prediction of student expenditures at a university with a graduation rate of 40%.
Answer:
a) The point estimate is 6995.
b) The margin of error is of 1691.
c) The standard error is of 1000
Step-by-step explanation:
a. Determine the point estimate for the prediction of student expenditures at a university with a graduation rate of 40%.
The point estimate is the mean of the two bounds of the confidence interval. So
[tex]P = \frac{5304 + 8686}{2} = 6955[/tex]
The point estimate is 6995.
b. Calculate the margin of error.
The margin of error is the difference between the bounds and the point estimate. So
M = 8686 - 6995 = 6995 - 5304 = 1691
The margin of error is of 1691.
c. Calculate the standard error of the prediction of student expenditures at a university with a graduation rate of 40%.
Now I have to expand a bit into the confidence interval.
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
The margin of error is:
[tex]M = zs[/tex]
In which s is the margin of error.
We have that M = 1691. So
[tex]M = zs[/tex]
[tex]s = \frac{M}{z} = \frac{1645}{1.645} = 1000[/tex]
The standard error is of 1000
The inverse of G(x) is a function.
A. True
. B. False
Answer:
The answer of this question is FALSE.
PLEASE HELP!!!!
Factor:
9a^2 - 121
Answer:
(3a + 11) (3a - 11)
Step-by-step explanation:
:))
Find the x value in the triangle shown below
NEED HELP
Answer:
BY Seeing the figure we can say that it is an
isosceles triangle so 70° +x+x=180° (Angle sum property)70 +2x=180
2x=180-70
2x = 110
x= 110÷2
x= 55°