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Suppose scores on exams in statistics are normally distributed with an unknown population mean and a population standard deviation of three points. A random sample of 36 scores is taken and gives a sample mean of 68. Find a 85 % confidence interval estimate for the population mean exam score. Explain what the confidence interval means
this the answer of queastions
Step-by-step explanation:
67.18,68.82
Let mu be the true population mean of statistics exam scores. We have a large random samples of n=36 scores with a sample mean of 68.we know that the population standard deviation is sigma=3.A pivotal quantity is 3^sqrt(36)=(3/6)=68(1/2) which is approximately normally distributed. Therefore the 85%confidence interval is 68-(1/2)(1.6449), 68+(1/2)(1.6449) i.e (67.18,68.82)
salt contains 10% calcium 3% carbon and 12% oxygen find the amount in grams of each of the compounds in 1 kg of Chalk
Hope the picture above will help you
in how many ways can all the numbers 1,2,3,4,5,6, be written on the squares of hte picture so that there are no adjacent squares in which the differene of the numebrs written is 3
Answer:
1 3 5 2 4 6
Step-by-step explanation:
for the binomial distribution with n=4 and p=0.25
a)find the probability of three success
b)at the most three success
c)two or more failures
Answer:
a.) .0469
b.) .9961
c.) .9492
Rounded these check below for full answers
Step-by-step explanation:
a.)
[tex]{4\choose3}*.25^3*(1-.25)=.046875[/tex]
b.)
Porbability of at most 3 successes is equal to 1-p(4)
p(4)=
[tex]{4\choose4}*.25^4=.003690625[/tex]
1-.003690625=.99609375
c.)
two or more failures is equa lto
p(0)+p(1)+p(2)=
[tex]{4\choose0}*.25^0*(1-.25)^4+{4\choose1}*.25^1(1-.25)^3+{4\choose2}*.25^2*(1-.25)^2=.94921875[/tex]
The calculation of the mean of a population and the expected value of the probability mass function of a Random Variable (RV) are quite similar. Consider a probability mass function that contains 4 unique Random Variables: 100, 200, 300, 400. If the expected value of the RV can be calculated by simply taking the average of the RVs, what can be said about the corresponding probabilities of each of the 4 RVs
Answer: Hello the options related to your question is missing attached below are the missing options.
A.) The probabilities of the RVs may be equal
B.) The sum of the probabilities of the RVs exceed 1
C.) This is an impossible occurrence
D.) The probabilities of the RVs must be equal
E.) None of the above
answer:
The probabilities of the RVs may be equal ( A )
Step-by-step explanation:
Given that the value of the population mean and the value of probability mass function of a set of random variables are similar
For the Random Variables : 100,200,300,400
The Probability mass function of RV = ( 100 + 200 + 300 + 400 ) / 4
Hence The probabilities of the RVs may be equal
What is the image of -8 ,8 after a dilation by a scale factor of one fourth centered at the origin?
Answer:
(-2, 2)
Step-by-step explanation:
If you have a point (x, y) and you do a dilation by a scale factor K centered at the origin, the new point will just be (k*x, k*y)
So, if the original point is (-8, 8)
And we do a dilation by a scale factor k = 1/4
Then the image of the point will be:
(-8*(1/4), 8*(1/4))
(-8/4, 8/4)
(-2, 2)
somebody help me please
Answer:
115
Step-by-step explanation:
Since the lines are parallel, PWX+WXR=180, WXR=65. So PWX=(180-65)=115
Lainey is looking for a new apartment and her realtor keeps calling her with new listings. The calls only take a few minutes, but a few minutes here and there are really starting to add up. She's having trouble concentrating on her work. What should Lainey do? a) Tell her realtor she can only receive text messages O b) Limit the time spent on each call O c) Turn off her phone until she is on a break O di Call her realtor back when customers won't see her on the phone
a...cause she's having trouble concentrating,for her to work she needs to tell her realtor she can only receive text messages it enables her to know the process of the house hunt
What is the length of de?
Answer: length of DE = 18
Step-by-step explanation:
Since the angles of these two triangles are the same, we can assume that they are similar triangles. To solve for a missing side of a triangle that is similar, you can set up a proportion:
[tex]\frac{27}{15}=\frac{x}{10}[/tex]
To solve for x (the missing length), you would do:
27 × 10 ÷ 15 = 18
You can set up the proportion in any way between the two triangles as long as the two sides correspond to each other. For example, you could have also used the following proportion to solve for x:
[tex]\frac{x}{27} =\frac{10}{15}[/tex]
When you solve for x using this proportion, you would get the same value for x:
10 × 27 ÷ 15 = 18
Question 4
A sector of a circle has a diameter of 16 feet and an angle of 2pi 5 this is a fraction by the way) radians. What is the area of the sector?
Answer:
40.2
Step-by-step explanation:
Diameter = 16, Radius = 16/2 = 8
Central angle = 2π/5 radians = 72°
Sector area,
8²π×(72/360)
= 64π/5
= 40.2 (rounded to the nearest tenth)
Answered by GAUTHMATH
A six-sided die is rolled ten times. What is the probability that the die will show an even number at most eight times?
P(even)=1/2. P(odd)=1/2. Let x= number of even in ten rolls
P(x<=8) = 1-P(x>=9) = 1-[C(10,9)(1/2)^9 *(1/2)^1 + C(10,10)(1/2)*(1/2)^0]
=1-[C(10,9)(1/2)^10 +C(10,10)(1/2)^10]
=1-(1/2)^10[10+1
=1–11/1024
=1013/1024
9)[{(-90) + (-5)}2-10].2 I need help ASAP please please due Monday show work
Ans; [{(-90) + (-5)} 2-10] ×2 —> [{-90-5}2-10]×2 —> [{-95}2-10]×2 —> [-190-10]×2 —> [–200] ×2 —> = –400
I hope I helped you ^_^
Distance between two points khan academy
Answer:
√29
Step-by-step explanation:
This is due to A^2+b^2=c^2. you know that side a and b are 2 and 5, so it beocmes 25+4/=c^2, which means that 29=c^2, and you root it to get rid of the power of 2, so you obtain c=√29
Plz help me i need this question solution
Answer:
your mom
Step-by-step explanation:
what is 7.65% of $509.25
Answer:
38.957625 US$
Step-by-step explanation:
38.957625 US$
Answer:
38.96
Step-by-step explanation:
Change from percent to decimal form
.0765 * 509.25
38.957625
Rounding to the nearest cent
38.96
Solve the problem,
289 chocolates are to be packed into boxes, each of which will contain 12
chocolates. How many boxes of chocolates will there be? How many chocolates will
be left over?
Answer:
24 boxes, 1 chocolate remaining
Step-by-step explanation:
289 chocolates total, each box is 12.
just divide it and whatever is left will be your remainder.
289/12 = 24 boxes, 1 chocolate remaining
sub to gauthmath sub reddit for more help like this !
A mid-sized company has decided to implement an enterprise resource planning (ERP) system, and management suspects that many of its employees are concerned about the planned implementation. Managers are considering holding informational workshops to help decrease anxiety levels among employees. To determine whether such an approach would be effective, they randomly select 16 employees to participate in a pilot workshop. These employees were given a questionnaire to measure anxiety levels about ERP before and after participating in the workshop. Do the data indicate that anxiety levels about ERP decreases as a result of the workshop
Answer:
From the data The anxiety levels decreases as a result of the workshop
given that the mean value of the differences = -1.1125
Step-by-step explanation:
Number of randomly selected employees = 16
From the data It can be noticed that the difference in anxiety levels decrease ( Tends towards values below 0 )
To determine this we have to determine the mean value of the differences
(-3) + (-3) + (-2) +(-2) +(-2) + (-2 ) + (-1) + (-1) + (-1) + (-1) + (-1 ) + 0 + 0 + 0 + 0 + 1 / 16
= -18 / 16 = - 1.1125
mean value = -1.1125.
Find 0.2B
B=[50 10
25 15]
Multiplying a matrix by a scalar results in every entry in a matrix get multiplied by that scalar, as defined,
[tex]a\begin{bmatrix}b&c\\d&e\\\end{bmatrix}=\begin{bmatrix}ab&ac\\ad&ae\\\end{bmatrix}[/tex]
So in our case, ([tex]0.2=\frac{1}{5}[/tex]
[tex]\frac{1}{5}\begin{bmatrix}50&10\\25&15\\\end{bmatrix}=\begin{bmatrix}\frac{50}{5}&\frac{10}{5}\\\frac{25}{5}&\frac{15}{5}\\\end{bmatrix}=\boxed{\begin{bmatrix}10&2\\5&3\\\end{bmatrix}}[/tex]
Hope this helps :)
In the picture below, which lines are lines of symmetry for the figure?
A. only 2
B. 1, 2, and 3
C. 2 and 4
D. 1 and 3
Answer:
Option C
Step-by-step explanation:
2 and 4 makes the figure look symmetrical
The required lines of symmetry are 2 and 4. option C is correct.
A given picture line of symmetry is to be determined from 1, 2, 3, and 4.
the line is a curve showing the shortest distance between 2 points.
A line of symmetry is defined as the line that draw across any curve or shape, The curve and shape have equal proportion across the line, that line is called the line of symmetry.
Clearly, from observation, it is seen that line 1 and line 3 does not have the same proportion of area across it, so this is not a line of symmetry.
Line 2 and line 4, is lines of symmetry because it has equal proportion of the area across it.
Thus, the required lines of symmetry are 2 and 4. option C is correct.
Learn more about lines here:
brainly.com/question/2696693
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5/3=12/x what does x equal?
[tex] \frac{5}{3} = \frac{12}{x} \\ = > \frac{5x}{3} = 12 \\ = > 5x = 12 \times 3 \\ = > 5x = 36 \\ = > x = \frac{36}{5} \\ = > x = 7.2[/tex]
This is the answer.
Solve x/4 > 2 Question 10 options: x ≥ 8 x < –8 x > 8 x ≤ –8
Answer:
x > 8
Step-by-step explanation:
You can start y multiplying both sides by 4 to cancel out the division by 4:
x/4 > 2
*4 *4
x > 8
Answer:
x > 8
Step-by-step explanation:
x/4 > 2
=> x > 2 × 4
=> x > 8
Auto technicians working at a shop in a rural residential area noticed that the depth of tire treads was smaller among cars that have more miles on the odometer.
What are the explanatory variable and response variable for this relationship?
Explanatory variable: type of residential area
Response variable: depth of tire tread
Explanatory variable: depth of tire tread
Response variable: miles on the car odometer
Explanatory variable: miles on the car odometer
Response variable: depth of tire tread
Explanatory variable: type of residential area
Response variable: miles on the car odometer
I think its, (B):
Explanatory variable: depth of tire tread
Response variable: miles on the car odometer
Answer:
Your answer is (C)
Explanatory variable: miles on the car odometer
Response variable: depth of tire tread
ED2021
First gets most Brainly!
Add and simplify
2x
X +
x + 1
e
3 x
x+1
ox(+3)
X + 1
0
4x +1
X + 1
2
X + 1
Answer:
you did it right D is right answer
At noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 kmyh and ship B is sailing north at 25 kmyh. How fast is the distance between the ships changing at 4:00 pm
Answer:
the distance between the ships is changing at 21.4 km/h
Step-by-step explanation:
Given;
distance between ship A and ship B = 150 km
speed of ship, A = 35 km/h
speed of ship B = 25 km/h
at 4 pm, the time difference = 4 hours
let the distance between A and B = C
The position of A after 4 hours = 35 km/h x 4 h = 140 km
The distance covered by A, a = 150 km - 140 km = 10 km
The distance covered by B, b = 25 km/h x 4 h = 100 km
The distance between A and B;
c² = a² + b²
c² = 10² + 100²
c² = 10100
c = √10100
c = 100.5 km
The change in the distance between A and B is calculated as;
[tex]c^2 = a^2 + b^2\\\\2c\frac{dc}{dt} = 2a\frac{da}{dt} + 2b\frac{db}{dt} \\\\c\frac{dc}{dt} = a\frac{da}{dt} + b\frac{db}{dt} \\\\100.5(\frac{dc}{dt}) = -10(35) + 100(25) \\\\(the \ negative \ sign \ indicates \ decrease \ in \ distance \ of \ A \ from \ B \ with \ time)\\\\100.5(\frac{dc}{dt})= 2150\\\\\frac{dc}{dt} = \frac{2150}{100.5} \\\\\frac{dc}{dt} = 21.39 \ km/h\\\\\frac{dc}{dt} \approx 21.4 \ km/h[/tex]
Therefore, the distance between the ships is changing at 21.4 km/h
Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.438.43 and a standard deviation of 1.51.5. Using the empirical rule, what percentage of American women have shoe sizes that are between 6.936.93 and 9.939.93
Answer:
The right solution is "68%".
Step-by-step explanation:
The empirical rule is:
[tex]X\sim N(8.43, 1.5)[/tex]
According to the question,
= [tex]P(6.93< \mu < 9.93)[/tex]
= [tex]P(\frac{6.93-8.43}{1.5} < \frac{\mu -8.43}{1.5} < \frac{9.93-8.43}{1.5} )[/tex]
= [tex]P(z(1)-P(z(-1))[/tex]
= [tex]68[/tex] (%)
Thus the above is the right solution.
Suppose that the probability that a person will develop hypertension over a life time is 60%. Of 13 graduating students from the same college are selected at random. find the mean number of the students who develop hypertension over a life time
Answer:
The mean number of the students who develop hypertension over a life time is 7.8.
Step-by-step explanation:
For each person, there are only two possible outcomes, either they will develop hypertension, or they will not. The probability of a person developing hypertension is independent of any other person, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
Suppose that the probability that a person will develop hypertension over a life time is 60%.
This means that [tex]p = 0.6[/tex]
13 graduating students from the same college are selected at random.
This means that [tex]n = 13[/tex]
Find the mean number of the students who develop hypertension over a life time
[tex]E(X) = np = 13*0.6 = 7.8[/tex]
The mean number of the students who develop hypertension over a life time is 7.8.
Which of the following best describes a three-dimensional solid made from
two parallel and congruent discs not in the same plane and all the points
between them?
A. Cylinder
B. Cone
C. Cube
D. Prism
A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The correct option is A.
What is a cylinder?A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.
The solid is described as a three-dimensional solid made from
two parallel and congruent discs, not in the same plane, and all the points
between them is a Cylinder.
Hence, the correct option is A.
Learn more about Cylinder:
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A community swimming pool is a rectangular prism that is 30 feet long, 12 feet wide, and 5 feet deep. The wading pool is half as long, half as deep, and the same width as the larger pool.
How many times greater is the volume of the swimming pool than the volume of the wading pool?
What is the equation of the parabola shown in the graph?
Answer:
[tex]-\frac{x^{2} }{4}[/tex] -2x - 7
Step-by-step explanation:
Never seen a phone with 3 cameras before or something but ok.
Took a while to use brainly's insert character thingie since fractions and the exponent kinda threw me off.
4x+6=10. what is the value of x?
Answer:
1
Step-by-step explanation:
4x+6=10
4x=4
x=1
Answer:
[tex]4x + 6 = 10[/tex]
[tex]4x = 10 - 6[/tex]
[tex]4x = 4[/tex]
[tex]x = \frac{4}{4} [/tex]
[tex]x = 1[/tex]
hope this helps you
