Answer:
Given:
Sham: n= 20, x=0.44, s=1.24,
Magnet:n= 20, x =0.49, s= 0.95
For Sham:
Sample size, n = 20
Sample mean = 0.44
Standard deviation = 1.24
For Magnet:
Sample size = 20
Sample mean = 0.49
Standard deviation = 0.95
The null and alternative hypotheses:
H0: s1²=s2²
H1: s1² ≠ s2²
a) To find the test statistics, use the formula:
[tex] \frac{s1^2}{s2^2} [/tex]
[tex] \frac{1.24^2}{0.95^2} = \frac{1.5376}{0.9025} = 1.7037 [/tex]
Test statistics = 1.7037
b) P-value:
Sham: degrees of freedom [tex]= n - 1 = 20 - 1 = 19[/tex]
Magnet: degrees of freedom [tex]= n - 1 = 20 - 1 = 19[/tex]
The critical values:
[Za/2, df1, df2)], [(1 - Za/2), df1, df2]
[tex] f[0.05/2, 19, 19], f[(1 - 0.05/2), 19, 19] [/tex]
[tex] f[0.025, 19, 19], f[0.975, 19, 19] [/tex]
[tex] (2.526, 0.3958) [/tex]
The rejection region:
Reject H0, if F < 0.3958 or if F > 2.526
c) Conclusion:
Since the critical values of test statistic is between (0.3958 < 1.7037 < 2.526), we fail to reject null hypothesis H0.
There is insufficient evidence to to support the claim that those given a sham treatment have reductions that vary more than those treated with magnets
A professor gives students a final exam for one of her statistics in psychology courses. She records grades out of 100 points, where higher scores indicate better performance. Use SPSS to estimate the standard error for this distribution of exam grades.
Answer:
The standard error for the distribution of exam grades is 1.482.
Step-by-step explanation:
The data provided is attached below.
Steps to compute the standard error of exam grades in SPSS are as follows:
Step 1:
Enter the data in a SPSS sheet
Step 2:
Go to Analyze → Descriptive Statistics → Descriptives...
A dialog box will open.
Step 3:
Move Score to the box labelled as "Variable(s)"
Step 4:
Go to options.
A dialog box will open.
Step 5:
Select all the statistics value required. Press OK.
Step 6:
Press OK.
The SPSS output is attached below.
The standard error for the distribution of exam grades is 1.482.
Complete the square to rewrite y = x^2 + 6x + 3 in vertex form. Then state whether the vertex is a maximum or a minimum and give its coordinates.
Answer:
Let's complete the square first.
y = x² + 6x + 3
= (x² + 6x + 9) - 6
= (x + 3)² - 6
Therefore, the vertex is (-3, -6) and since the coefficient of (x + 3)² is positive, the vertex is a minimum.
The management of a chain of frozen yogurt stores believes that t days after the end of an advertising campaign, the rate at which the volume V (in dollars) of sales is changing is approximated by V ' ( t ) = − 26400 e − 0.49 t . On the day the advertising campaign ends ( t = 0 ), the sales volume is $ 170 , 000 . Find both V ' ( 6 ) and its integral V ( 6 ) . Round your answers to the nearest cent.
Answer:
Step-by-step explanation:
Given the rate at which the volume V (in dollars) of sales is changing is approximated by the equation
V ' ( t ) = − 26400 e^− 0.49 t .
t = time (in days)
.v'(6) can be derived by simply substituting t = 6 into the modelled equation as shown:
V'(6) = − 26400 e− 0.49 (6)
V'(6) = -26400e-2.94
V'(6) = -26400×-0.2217
V'(6) = $5852.88
V'(6) = $5,853 to nearest dollars
V'(6) = 585300cents to nearest cent
To get v(6), we need to get v(t) first by integrating the given function as shown:
V(t) = ∫−26400 e− 0.49 t dt
V(t) = -26,400e-0.49t/-0.49
V(t) = 53,877.55e-0.49t + C.
When t = 0, V(t) = $170,000
170,000 = 53,877.55e-0 +C
170000 = 53,877.55(2.7183)+C
170,000 = 146,454.37+C
C = 170,000-146,454.37
C = 23545.64
V(6) = 53,877.55e-0.49(6)+ 23545.64
V(6) = -11,945.63+23545.64
V(6) = $11,600 (to the nearest dollars)
Since $1 = 100cents
$11,600 = 1,160,000cents
If A is any set then n(A)=4 then n[P(A)]=____________ * 1)16 2)4 3)8 4)6
Answer:
n[P(A)] is the power of set A, which is = 16
Step-by-step explanation:
For this question, We are simply looking for the number of elements in the power set of A.
To solve this, there is a simple formula that can be followed, which is
n[P(A)]= [tex]2^{n(A)}[/tex]
This means that to get the power of the set, we sill have to raise the number 2 to the number of elements in that set.
In our problem, n(A) refers to the number of elements in set A. In this case, n(A)= 4
Hence, n[P(A)]=[tex]2^{4}= 16[/tex]
Hence the power of set A = 16
Compare and contrast the following piecewise
defined functions.
(-x+ 2 x<0
X+2, x<0
f(x) =
x? + 1, x>0 X + 2, x>0
g(x)=
Answer:
Both piecewise functions have a linear portion and a quadratic portion. The y-intercepts of both linear pieces are the same, 2. The quadratics are both open upward, but have different y-intercepts (one at 1, one at 2). The linear portion of the first function is decreasing, while the linear portion of the second function is increasing.
Step-by-step explanation:
Comparing and contrast of the functions are shown in below.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
The given piecewise functions are;
⇒ f (x) = { - x + 2 ; x < 0
= { x² + 1 ; x > 0
Now, Comparison and contrast of the above piecewise functions are,
The similarities are;
1) Both piecewise functions are linear when x < 0.
2) Both piecewise functions are quadratic when x > 0.
3) The magnitude the slope of the linear part both function are equal.
4) The leading coefficient of the quadratic function are the same.
5) The y-intercept of the linear function are equal, therefore, the linear functions in f(x) and g(x) intersect on the y-axis.
6) The domain of the linear and quadratic functions are the same.
The contrasts (differences) in the function are;
1) The slope of the linear function of g(x) is positive and the slope of the linear function of f(x) is negative.
2) The y-intercept of the quadratic function in f(x) is +1, while the y-intercept of the quadratic function in g(x) is +2.
3) The quadratic function in f(x) and g(x) have graphs that do not intersect.
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A regular octagon has what type of symmetry?
A.
line symmetry only
B.
point symmetry only
C.
both point and line symmetry
OD.
neither point nor line symmetry
Answer:
C
Step-by-step explanation:
A regular octagon has 8 lines of symmetry.
The point of intersection of the lines of symmetry of a regular octagon is the point of symmetry.
A regular octagon has both point and line symmetry. Thus, option C is the right choice.
What are the different types of symmetry?The different types of symmetry are:
Line symmetry: A shape is symmetric about a line when the two images formed on the two sides of the line are identical.Point symmetry: A shape is symmetric about a point, when the shape is rotated about the point for 180°, gives the same shape.Rotational symmetry: A shape is rotationally symmetric, when the shape on rotation about a point, with an angle of value less than 360°, gives the same shape back.How to solve the given question?In the question, we are asked about the types of symmetry that a regular octagon has.
A regular octagon has 8 lines of symmetry about which the shape divides itself into equal halves.
These are the 4 lines joining each opposite vertex, and the other 4 are the lines passing through the midpoints of opposite sides.
A regular octagon is point symmetric as 180° rotation about the point of intersection of the lines of symmetry gives the same shape back.
Thus, we can say that a regular octagon has both point and line symmetry. Thus, option C is the right choice.
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Evaluate the expression for x=8. y=-0.1. and Z=4.6.
XZ-Y
XZ-Y
Answer:
36.9Step-by-step explanation:
write down the expression:
x*z-y
lets plug in the variables to evaluate the expression:
8*4.6-(-0.1)
36.8+0.1
36.9
Answer:
36.9Given,
X=8
y=-0.1
z=4.6
Now,
[tex]xz - y \\ = 8 \times 4.6 - ( - 0.1) \\ = 36.8 - ( - 0.1) \\ = 36.8 + 0.1 \\ = 36.9[/tex]
hope this helps..
Good luck on your assignment..
In a triangle, the measure of the second angle is twice the measure of the first angle. The third angle is equal to the sum
of the other angles,
Which of the following could represent the measures of the three angles?
Ox, 2%, 4%
OX, 2x, 3x
OX, 2x, 2x
Answer:
x, 2x, 3x
Step-by-step explanation:
If we have angle x as one angle, and the 2nd angle is twice the angle, the 2nd angle will be 2x. If the 3rd angle is the sum of the 1st angle and the 2nd angle, we have 2x + x, which equals 3x.
answer anybody please
Answer:
20/41
Step-by-step explanation:
The total of all students is ...
7 + 2 + 5 + 6 + 3 + 4 + 6 + 8 = 41
The total of students not studying chemistry is ...
7 + 2 + 5 + 6 = 20
Then the probability that a randomly-chosen student does not study chemistry is ...
p(not studying chem) = 20/41
Margo borrows $1700, agreeing to pay it back with 4% annual interest after 6 months. How much interest
will she pay?
Round your answer to the nearest cent, if necessary.
Answer:
$1733.67
Step-by-step explanation:
Simple interest rate formula: A = P(1 + r)^t
Simply plug in your known variables
A = 1700(1 + 0.04)^0.5
A = 1733.67
Remember that t is time in years.
If a coin is tossed 4 times, and then a standard six-sided die is rolled 3 times, and finally a group of two cards are drawn from a standard deck of 52 cards without replacement, how many different outcomes are possible?
Answer: 4,582,656
Step-by-step explanation:
A coin is tossed 4 times,
2^4 outcomes: 16
and then a standard six-sided die is rolled 3 times, 6^3
216 outcomes:
and finally, a group of two cards is drawn from a standard deck of 52 cards without replacements
It says a “group”, so, I guess the order doesn’t matter… So it is “52 choose 2”
52*51/ (2*1) = 26*51
how many different outcomes are possible?
16*216*26*51 = 4,582,656
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To get to the top of the mountain, Heather drove 10 east and 4 miles south. Then she hiked the rest of the way to the top which was about 1 mile high. Assuming Heather started at (0, 0, 0), what is the total distance she traveled to the top of the mountain?
A) 11.8 miles
B) 10.8 miles
C) 7 miles
D) 15 miles
Answer: B. 10.8.
Step-by-step explanation: Use the distance formula and replace it with the given values. Distance=[tex]\sqrt{10^{2}+4^{2}+1^{2} }[/tex], solve it and it will give you 10.8 miles.
A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position. The correct option is B.
What are coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
Given that Heather started at (0, 0, 0). Also, she drove 10 east, and 4 miles south, and hiked 1 mile up. Therefore, the coordinate at the top is (10, 4, 1).
Now, the distance between the two points can be written as,
Distance = √[(10-0)² + (4-0)² + (1 - 0)²]
= √(100+16+1)
= 10.8 milles
Hence, the correct option is B.
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The weights of running shoes are normally distributed with an unknown population mean and standard deviation. If a random sample of 23 running shoes is taken and results in a sample mean of 12 ounces and sample standard deviation of 3 ounces, find the margin of error, ME, for a 95% confidence interval estimate for the population mean using the Student's t-distribution.
The critical value is 2.069 and the margin of error is 1.294.
Given data:
To find the margin of error (ME) for a 95% confidence interval estimate for the population mean using the Student's t-distribution, determine the critical value (t*) and the standard error (SE).
The critical value (t*) can be obtained from the t-distribution table.
For a 95% confidence level with 23 degrees of freedom (n-1), the critical value is approximately 2.069.
The standard error (SE) is calculated using the formula:
SE = sample standard deviation / √(sample size)
[tex]SE = \frac{3}{\sqrt{23}}[/tex]
Now, calculate the margin of error (ME):
ME = t* * SE
[tex]ME = 2.069 *\frac{3}{\sqrt{23}}[/tex]
On simplifying the equation:
[tex]ME=1.294[/tex]
Hence, the margin of error is 1.294.
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The goalkeeper of the USA ice hockey National Team, Jonathan Quick, saved 91.6% of shots during his entire career in the NHL. Estimate the probability that he let through more than 2 goals if the opposite team made 60 shots on goal.
Answer:
88.93% probability that he let through more than 2 goals if the opposite team made 60 shots on goal.
Step-by-step explanation:
For each shot, there are only two possible outcomes. Either he lets it through, or he does not. Shots are independent. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The goalkeeper of the USA ice hockey National Team, Jonathan Quick, saved 91.6% of shots during his entire career in the NHL.
So he let in a goal in 100 - 91.6 = 8.4% of the shots, so [tex]p = 0.084[/tex]
60 shots:
This means that [tex]n = 60[/tex]
Estimate the probability that he let through more than 2 goals if the opposite team made 60 shots on goal.
Either he lets two or less goals, or he lets more than 2. The sum of the probabilities of these outcomes is 1. So
[tex]P(X \leq 2) + P(X > 2) = 1[/tex]
We want [tex]P(X > 2)[/tex].
Then
[tex]P(X > 2) = 1 - P(X \leq 2)[/tex]
In which
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{60,0}.(0.084)^{0}.(0.916)^{60} = 0.0052[/tex]
[tex]P(X = 1) = C_{60,1}.(0.084)^{1}.(0.916)^{59} = 0.0285[/tex]
[tex]P(X = 2) = C_{60,2}.(0.084)^{2}.(0.916)^{58} = 0.0770[/tex]
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0052 + 0.0285 + 0.0770 = 0.1107[/tex]
[tex]P(X > 2) = 1 - P(X \leq 2) = 1 - 0.1107 = 0.8893[/tex]
88.93% probability that he let through more than 2 goals if the opposite team made 60 shots on goal.
I’ll mark you Brainly-ist if you’re correct.
Write the log5 19/x as the difference between two logarithms.
Log5 19/x = log5( ) -log5 x
Answer:
log5 19 - log5 x
Step-by-step explanation:
log5 19/x
log ( a/b) = log a - log b
log5 19 - log5 x
represent 5 20 30 25 10 on a pie chart
Answer :
I have solved for the points.
Explanation :
Just get a protractor and plot out the angles into a circle. Starting with the largest angle.
The triangles are similar by
Answer:
AA similarity postulate
Step-by-step explanation:
Using the left triangle
30+70 =100
180-100= 80
The unmarked angle is 80
The angles between the left and right triangles are identical so. all angles are identical between the triangles
We can use the AA similarity postulate so show that the triangles are similar
Bessie wants to rent a car for 6 days, and she's interested in the collision
damage waiver but not the loss damage waiver. If the daily rate is $62 and
CDW is $55, what is her total rental cost?
O A. $702
O B. $372
C. $392
O D. $427
SUBMIT
It’s D. $427
I gotchu my guy
A File that is 242 megabytes is being downloaded.If the download is 12.9%complete,how many megabytes have been downloaded?Round your answer to the nearest tenth.
Answer:31
Step-by-step explanation: Since you are trying to find a percentage of a number all you have to do is multiply 242 by 12.9% and because you have to round to the nearest tenth it will be 31
Explain why the distribution of X can be modeled by the binomial distribution. b. Find the probability that you win exactly 1 bid. c. Find the probability that you win 1 bid or fewer. d. Find the probability that you win more than 1 bid.
Answer:
a) Options E, F, G and H are all correct.
The distribution of X can be modelled by a binomial distribution because
E. The trials are independent.
F.There are a fixed number of bids.
G. There is the same probability of success for each trial (bid).
H. The data are binary (you either win the bid or not, that is, success or failure).
b) The probability of winning exactly 1 bid = 0.4410
c) The probability that you win 1 bid or fewer = 0.7840
d) The probability that you win more than 1 bid = 0.2160
Step-by-step explanation:
Complete Question
You are bidding on three items available on an online shopping site. You think that for each bid you have a 30% chance of winning it, and the outcomes of the three bids are independent events. Let X denote the number of winning bids out of the three items you bid on.
a. Explain why the distribution of X can be modeled by the binomial distribution.
A. The trials are dependent.
B. The data are not binary.
C. Probabilities of success for trials (bids) differ for each trial
D. The number of bids varies.
E. The trials are independent
F.There are a fixed number of bids.
G. There is the same probability of success for each trial (bid)
H. The data are binary
b. The probability of winning exactly 1 bid is (Round to four decimal places as needed.)
c. Find the probability that you win 1 bid or fewer.
d. Find the probability that you win more than 1 bid.
Solution
a) A binomial experiment is one in which the probability of success doesn't change with every run or number of trials.
It usually consists of a fixed number of runs/trials with only two possible outcomes, a success or a failure. The outcome of each trial/run of a binomial experiment is independent of one another.
Hence, the correct options are
E. The trials are independent.
F.There are a fixed number of bids.
G. There is the same probability of success for each trial (bid).
H. The data are binary (you either win the bid or not, that is, success or failure).
b) Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = total number of bids available = 3
x = Number of successes required = winning exactly 1
p = probability of success = probability of winning a bid = 30% = 0.30
q = probability of failure = probability of NOT winning a bid = 1 - p = 1 - 0.30 = 0.70
P(X = 1) = ³C₁ (0.3)¹ (0.7)³⁻¹ = 0.4410 to 4 d.p.
c) The probability that you win 1 bid or fewer.
n = total number of sample spaces = total number of bids available = 3
x = Number of successes required = winning 1 or fewer bid = ≤ 1 = 0, 1
p = probability of success = probability of winning a bid = 30% = 0.30
q = probability of failure = probability of NOT winning a bid = 1 - p = 1 - 0.30 = 0.70
P(X ≤ 1) = P(X = 0) + P(X = 1)
P(X = 0) = ³C₀ (0.3)⁰ (0.7)³⁻⁰ = 0.343
P(X = 1) = 0.441 (as calculated in (b) above)
P(X ≤ 1) = 0.343 + 0.441 = 0.784
d) Probability that you win more than 1 bid
n = total number of sample spaces = total number of bids available = 3
x = Number of successes required = winning more than 1 bid = >1 = 2, 3
p = probability of success = probability of winning a bid = 30% = 0.30
q = probability of failure = probability of NOT winning a bid = 1 - p = 1 - 0.30 = 0.70
P(X > 1) = P(X = 2) + P(X = 3)
P(X = 2) = ³C₂ (0.3)² (0.7)³⁻² = 0.189
P(X = 3) = ³C₃ (0.3)³ (0.7)³⁻³ = 0.027
P(X > 1) = 0.189 + 0.027 = 0.2160
Hope this Helps!!!
I need help pleaseeee!
Answer:
[tex]m({\angle CHF})[/tex] = 115°
Step-by-step explanation:
Intersecting chord theorem,
"When two chords intersect inside a circle, then the measure of each angle is one half the sum of the measures of the arcs intercepted by the angle and its vertical angle."
By this theorem.
[tex]m({\angle CHF})[/tex] = [tex]\frac{1}{2}[m(\widehat{AB}+m(\widehat{FC})][/tex] ---------(1)
[tex]m(\widehat{AB})[/tex] = 40°
[tex]m(\widehat{FC})=m(\widehat{CD})+m(\widehat{DE})+m(\widehat{EF})[/tex]
[tex]m(\widehat{FC})[/tex] = 100° + 60° + 30°
= 190°
By substituting these values in the expression (1)
[tex]m({\angle CHF})[/tex] = [tex]\frac{1}{2}[40+190][/tex]
= 115°
Therefore, [tex]m({\angle CHF})[/tex] = 115°
Answer:
115°Step-by-step explanation:
If two chords intersect inside a circle, the measure of one of the angles formed equals half the sum of its intercepted arc and that angle's vertical angle's intercepted arc.
For angle CHF, the two arcs are arc CDF and arc AB
so (100 + 60 + 30) + 40 = 230, times 1/2 = 115º
Please answer this correctly. I want genius,expert or ace people to answer this correctly
Answer:
6 times.
Step-by-step explanation:
There is a 1/9 chance you pick the orange one. If you pick 54 times, you can expect to pick the orange marble 6 times.
Market-share-analysis company Net Applications monitors and reports on Internet browser usage. According to Net Applications, in the summer of , Google's Chrome browser exceeded a market share for the first time, with a share of the browser market (Forbes website, December ). For a randomly selected group of Internet browser users, answer the following questions.a. Compute the probability that exactly of the Internet browser users use Chrome as their Internet browser (to 4 decimals). For this question, if you compute the probability manually, make sure to carry at least six decimal digits in your calculations.b. Compute the probability that at least of the Internet browser users use Chrome as their Internet browser (to 4 decimals).c. For the sample of Internet browser users, compute the expected number of Chrome users (to 3 decimals).d. For the sample of Internet browser users, compute the variance and standard deviation for the number of Chrome users (to 3 decimals).VarianceStandard deviation
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
Market-share-analysis company Net Applications monitors and reports on Internet browser usage. According to Net Applications, in the summer of 2014, Google's Chrome browser exceeded a 20% market share for the first time, with a 20.37% share of the browser market (Forbes website, December ). For a randomly selected group of 20 Internet browser users, answer the following questions.
a. Compute the probability that exactly 8 of the 20 Internet browser users use Chrome as their Internet browser (to 4 decimals). For this question, if you compute the probability manually, make sure to carry at least six decimal digits in your calculations.
b. Compute the probability that at least 3 of the 20 Internet browser users use Chrome as their Internet browser (to 4 decimals).
c. For the sample of Internet browser users, compute the expected number of Chrome users (to 3 decimals).
d. For the sample of Internet browser users, compute the variance and standard deviation for the number of Chrome users (to 3 decimals).
Answer:
a. P(x = 8) = 0.024273
b. P(x ≥ 3) = 0.8050
c. E(x) = 4.074
d. var(x) = 3.244 and SD = 1.801
Step-by-step explanation:
The given problem can be solved using the binomial distribution
P(x) = ⁿCₓ pˣ (1 - p)ⁿ⁻ˣ
Where n is the number of trials, x is the variable of interest and p is the probability of success.
For the given problem,
Probability of success = p = 20.37% = 0.2037
Probability of failure = q = 1 - p = 1- 0.2037 = 0.7963
Number of trials = n = 20
a. Compute the probability that exactly 8 of the 20 Internet browser users use Chrome as their Internet browser.
In this case, we have x = 8
P(x = 8) = ²⁰C₈×0.2037⁸×(1 - 0.2037)²⁰⁻⁸
P(x = 8) = 125970×0.2037⁸×0.7963¹²
P(x = 8) = 0.024273
b. Compute the probability that at least 3 of the 20 Internet browser users use Chrome as their Internet browser (to 4 decimals).
P(x ≥ 3) = 1 - P(x < 2)
But we know that
P(x < 2) = P(x = 0) + P(x = 1) + P(x = 2)
So,
P(x ≥ 3) = 1 - [ P(x = 0) + P(x = 1) + P(x = 2) ]
For P(x = 0):
Here we have x = 0, n = 20 and p = 0.2037
P(x = 0) = ²⁰C₀×0.2037⁰×(1 - 0.2037)²⁰⁻⁰
P(x = 0) = 0.0105
For P(x = 1):
Here we have x = 1, n = 20 and p = 0.2037
P(x = 1) = ²⁰C₁×0.2037¹×(1 - 0.2037)²⁰⁻¹
P(x = 1) = 0.0538
For P(x = 2):
Here we have x = 2, n = 20 and p = 0.2037
P(x = 2) = ²⁰C₂×0.2037²×(1 - 0.2037)²⁰⁻²
P(x = 2) = 0.1307
Finally,
P(x ≥ 3) = 1 - [P(x = 0) + P(x = 1) + P(x = 2)]
P(x ≥ 3) = 1 - [ 0.0105 + 0.0538 + 0.1307]
P(x ≥ 3) = 1 - [0.1950]
P(x ≥ 3) = 0.8050
c. For the sample of Internet browser users, compute the expected number of Chrome users (to 3 decimals).
The expected number of Chrome users is given by
E(x) = n×p
Where n is the number of trials and p is the probability of success
E(x) = 20×0.2037
E(x) = 4.074
d. For the sample of Internet browser users, compute the variance and standard deviation for the number of Chrome users (to 3 decimals).
The variance for the number of Chrome users is given by
var(x) = n×p×q
Where n is the number of trials and p is the probability of success and q is the probability of failure.
var(x) = 20×0.2037×0.7963
var(x) = 3.244
The standard deviation for the number of Chrome users is given by
SD = √(n×p×q)
SD = √var(x)
SD = √(3.244)
SD = 1.801
g P-values and confidence intervals are both used in hypothesis testing. Explain three reasons why it may be preferable to report a confidence interval over a P-value. Provide a specific example to justify your reasons.
Answer:
Step-by-step explanation:
There are a few reasons why it may be preferable to report a confidence interval in place of a p-value.
(A) Using a p-value, nonsignificance does not mean absence of an effect of the intervention BUT using a confidence interval, nonsignificance implies that there's no effect of the intervention on the experimental group.
(B) Using a p-value, studies with small sample size sometimes report nonsignificance when there are real effects of the intervention on the group.
(C) On the other hand, in using a p-value, statistical significance does not necessarily imply that the effect observed is clinically important BUT confidence interval gives information about the direction and strength of the observed effect. This aids the derivation of clinical relevance from the study.
(D) The p-value does not tell us how large or small the effect of the intervention is BUT the confidence interval gives an approximation of the actual effect of the intervention.
a)Write 7,269,000,000 in scientific notation.
Answer:
7,269,000,000 in scientific notation is 7.27 x 109
Answer:
7.269 × 10^9
Step-by-step explanation:
7,269,000,000
Move the decimal point after 7.
Count how many places the decimal point will move to the right.
7.269 × 10^9
How long is line UW?
Answer: UW= 9√3
Step-by-step explanation:
This right triangle is a 30-60-90 triangle. This is a special triangle. Since this is a special triangle, the hypotenuse is 2x.
The hypotenuse is 18. We can figure out the length of x.
2x=18
x=9
Since we got 9, you would think it is the answer, but it's not. The length across the 60° angle is x√3. Now that we know the length across from 60°, we can plug in x.
9√3
We can check our answer by using Pythagorean Theorem.
9²+(9√3)²=18²
81+243=18²
324=324
Since they are equal, we know we have the right answer.
Find the area of the following
parallelogram:
7 cm
9 cm
10.5 cm
A= [?] cm?
Enter the exact answer as a decimal.
Answer:
Area = 73.5 cm^2
Step-by-step explanation:
Area of parallelogram = [tex]Base*Height[/tex]
Where Base = 10.5, Height = 7 cm
Area = 10.5 * 7
Area = 73.5 cm^2
Answer:
73.5 square cm
Step-by-step explanation:
[tex]area \: of \: \parallel^{gm} \\ = base \times height \\ = 10.5 \times 7 \\ = 73.5 \: {cm}^{2} \\ [/tex]
Calculate balloon volume for each balloon at maximum inflation from the circumference data. (You will have to assume that the balloon was a perfect sphere.) To calculate balloon volume, first find the radius (in cm) of the balloon by using the formula C = 2πr. Then, use the radius' value in the formula V = (4/3)πr3 to calculate volume (in cm3). Show all your work, place units on all numbers (even those within the calculations), and express your answers with appropriate sig figs. (12 pts)
Answer:
r₁ = 3.583cm
V₁= 192.55cm³
r₂= 5.176cm
V₂ = 580.283cm³
r₃ = 5.255cm
V₃ = 607.479cm³
Step-by-step explanation:
assuming circumferences of each balloons are given as follows C₁ = 22.5cm, C₂ = 32.5cm and C₃ = 33cm
Recall C = 2πr
volume of a sphere is 4/3πr³
A hemispherical bowl of radius 8 inches is filled to a depth of h inches, where 0less than or equalshless than or equals8. Find the volume of water in the bowl as a function of h. (Check the special cases hequals0 and hequals8.)
Answer:
Volume by Shells as a function of h... Integral Calculus.
Step-by-step explanation:
4) In Florida’s state lottery game you select 6 numbers of your choice from a set of numbers ranging from 1 to 53. Determine the total number of combinations of 6 number selected from 53?
Answer:
To get a close answer you could divide it by 6 and get 8 witch might not be the answer but is the most reasonable. Let me know if it is incorrect
Step-by-step explanation:
