Using the z-distribution, it is found that characteristics are:
a) 0.2
b) 0.0058
c) z = 2.575
d) 0.0149
e) (0.1851, 0.2149).
f) We are 99% confident the true proportion of adults who purchased something online is between 0.1851 and 0.2149.
Item a:
The point estimate is the sample proportion, hence:
[tex]\pi = \frac{789}{4750} = 0.2[/tex]
Item b:
The standard error is:
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.2(0.8)}{4750}} = 0.0058[/tex]
Item c:
99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so [tex]z = 2.575[/tex].
Item d:
The margin of error is:
[tex]M = zs = 2.575(0.0058) = 0.0149[/tex]
Item e:
The interval is the point estimate plus/minus the margin of error, hence
[tex]\pi - M = 0.2 - 0.0149 = 0.1851[/tex]
[tex]\pi + M = 0.2 + 0.0149 = 0.2149[/tex]
The 99% confidence interval estimate of the population proportion of adults who had purchased something online is (0.1851, 0.2149).
Item f:
We are 99% confident the true proportion of adults who purchased something online is between 0.1851 and 0.2149.
A similar problem is given at https://brainly.com/question/16236451
Are the following expressions equivalent?
A. 3x - 2x + 0.5x3x−2x+0.5x.
a. 1.5x1.5x
Answer:
1.5 x
Step-by-step explanation:
3x - 2x + 0.5x = 1.5 x
In the decimal number 147.529, the 5 is in the
place.
Answer:
the TENTHS place
Step-by-step explanation:
hundreds tens ones.tenths hundredths thousandths
Which point best approximates 45? A B В C D 0 1 2 3 4. 5 6 7. 8 9 Ο Α OB С OD
Answer:
b or c???
Step-by-step explanation:
The point that best approximates √45 is C.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
√45
This can be written as,
= 6.7082
Now,
6.7082 is near 7 so,
The point that best approximates √45 is C.
Thus,
The point that best approximates √45 is C.
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If ∆HCN~∆BMD, solve for x.
Answer options:
A.11
B.12
C.13
D.14
PLEASE HELP ASAP THANK YOU!
Answer:
13
Step-by-step explanation:
For the diagram below ,The Value of q , r is
Answer:
angle r= 45°
angle r+angle q=180°
45°+ angle q=180°[linear pair]
angle q=180°- 45°
angle q= 135°
GIVING EVERYTHING IF CORRECT. NO fake answers, you will be reported. And it hurts my grades so please don't.
Answer is C, hopefully I helped. :)
The ratio of faculty members to students at a college is 1:60. There are
1,220 students. Approximately how many faculty members are there?
Answer:
either 20 or 21
Step-by-step explanation:
i think you just cross multiply like 1/60=x/1220
x=20.3 but you cant have part of a faculty member, so i believe its 20
(=^w^=)
A ski company in Vail owns two ski shops, one on the west side and one on the east side of Vail. Ski hat sales data (in dollars) for a random sample of 5 Saturdays during the 2004 season showed the following results. Is there a significant difference in sales dollars of hats between the west side and east side stores at the 10 percent level of significance?
Saturday Sales Data ($) for Ski Hats
Saturday East Side Shop West Side Shop
1 548 523
2 493 721
3 609 695
4 567 510
5 432 532
Required:
a. State the decision rule for 5 percent level of significance.
b. Find the test statistic tcalc.
Answer:
At 10 percent significance level, there is not enough statistical evidence to suggest that there is a difference between mean
a. The decision rule for 5% level of confidence is;
For test statistic is less than 2.306 we fail to reject the null hypothesis
For a test statistic larger than 2.306 we reject the null hypothesis
b. The test statistic is approximately -1.2008
Step-by-step explanation:
The given data are;
No; 1, 2, 3, 4, 5
East Side Shop; 548, 493, 609, 567, 432
West Side Shop; 523, 721, 695, 510, 532
Therefore, we have;
The mean for the East Side Shop, [tex]\overline x_1[/tex] = 529.8
The standard deviation for the East Side Shop, s₁ = 68.751
The mean for the West Side Shop, [tex]\overline x_2[/tex] = 596.2
The standard deviation for the West Side Shop, s₂ = 102.7701
[tex]t_0=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_1^{2} }{n_{1}}+\dfrac{s{2}^{2}}{n_{2}}}}[/tex]
Therefore, we have;
The null hypothesis is H₀; μ₂ - μ₁ = 0
The alternative hypothesis is Hₐ; μ₂ - μ₁ ≠ 0
[tex]t_0=\dfrac{(529.8-596.2)}{\sqrt{\dfrac{68.751^{2} }{5}+\dfrac{102.7701^{2}}{5}}} \approx -1.2008[/tex]
At degrees of freedom, df = n₁ + n₂ - 2 = 8, we have the critical-t = 1.895
Given that the critical-t is more than test statistic, we do not reject the null hypothesis, therefore, there is not enough statistical evidence to suggest that there is a difference between mean
Required;
a. At 5% level, we have critical-t = 2.306
Therefore, the decision rule for 5% level of confidence is that we fail to reject the null hypothesis when the magnitude of the test statistic is less than 2.306 and we reject the null hypothesis for a test statistic larger than 2.306
b. The test statistic is given as follows;
[tex]t_0=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_1^{2} }{n_{1}}+\dfrac{s{2}^{2}}{n_{2}}}}[/tex]
[tex]t_0=\dfrac{(529.8-596.2)}{\sqrt{\dfrac{68.751^{2} }{5}+\dfrac{102.7701^{2}}{5}}} \approx -1.2008[/tex]
answer and show proof for brainliest
Answer:
the answer is the 4th one
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
We can cross B and D out because tho it has a circle on 36, the passage said greater than or equal to meaning it will be colored in.
We can then cross C out because it said less than on 48 which mean it will not be colored in on the circle, 48
I think I found the worksheet for you
https://www.lcps.org/cms/lib/VA01000195/Centricity/Domain/2053/Answer%20Key%20%20MORE%20Review%20Sheets%20for%20Solving%20and%20Graphing%20Inequalities.pdf
Just copy and paste that to ur search bar
PLEASE HELP NO LINK ANSWER I WILL GIVE BRAINLY THING BOTH QUESTIONS PLEASE
Answer: 33. Glucose 34. stomach
Step-by-step explanation:
I NEED HELP ASAP HELP HELP HELP....
According to the line plot, what is the total amount of time spent studying by the students who studied for 1/2 of an hour each?
Answer:
2.5hrs
Step-by-step explanation:
A cashier in a bank counts the total money as 450000 in denomination of ₹100 ₹500 and ₹100 notes the number of notes are in the ratio 1:2:5 find the number of notes of each denomination
Answer:
1x+2x+5x=4,50,000
8x=450000
x=450000/8
x=56,250
put the value of x
100 rupee note = 56,250
500 rupee note =2*56250=112500
1000 rupee note =5*56250=281250
total value =56250+112500+281250=450,000
Hope this helps you!
Your home town has a sales tax of 7%. Fill in the chart below with the sales tax and final
price.
Item
Sales Tax (7%)
Total Price
Play Station 5 - $500
1
Hoverboard - $125
668.75
Step-by-step explanation:
500+125=625
625×7%=43.75
625+43.75=668.75
What is the value of the expression below when x=1? 4x ^2 5x
Answer: 80
Step-by-step explanation:
Just substitute 1 for x in your expression and solve
f is a function that is differentiable for all reals. The value of f '(x) is given for several values of x in the table below.
x -8 -3 0 3 8
f '(x) 5 4 0 -2 -4
If f '(x) is always decreasing, which statement about f(x) must be true?
a.
f(x) has a relative maximum at x = 0.
b.
f(x) is concave upwards for all x.
c.
f(x) has a point of inflection at x = 0.
d.
f(x) passes through the origin.
9514 1404 393
Answer:
a. f(x) has a relative maximum at x = 0.
Step-by-step explanation:
Since f' is decreasing, the second derivative is negative. That means the graph is concave downward, so any critical point is a relative maximum.
f(x) has a relative maximum at x=0 (where f'(0) = 0)
__
There is no indication that the second derivative is ever zero, so there is no point of inflection.
No values of f(x) are given, so we cannot say whether the function passes through the origin.
A submarine was twenty feet below the surface of the water and descended an additional thirty-two and a half feet. Eventually the submarine ascended forty feet toward the surface of the water. What is the location of the submarine in the water?
12 feet below the surface of the water
12.5 feet below the surface of the water 52.5 feet below the surface of the water 92.5 feet below the surface of the water
Answer: 12.5ft below the surface
Step-by-step explanation:
What fraction is equivalent to 10 and has a denominator of 100? (2 points)
6
100
7
60
100
o
600
100
a
60
10
Answer:
1000 / 100
Step-by-step explanation:
Answer:
ff
Step-by-step explanation:
what is 15x-24x, this is very urgent please
Answer:
-9x
Step-by-step explanation:
solve
8=56
7=42
6=30
5=20
3=??
Answer:
3 = 6
Step-by-step explanation:
Every number is being multiplied by one lower than the number being used:
8 x 7 = 56
7 x 6 = 42
6 x 5 = 30
and so on.
Therefore 3 will be multiplied by 2, resultng in the number 6.
For the function f(x)=2^x the y intercept is (0,1). What is the y intercept of the function y=a•2^x?
A. (0,1)
B. (0,-a)
C. (0,a)
D. (0, 1/a)
Answer:a
Step-by-step explanation:
Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were allergic to penicillin, Nathan has a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. What is the probability that Nathan is not allergic to penicillin and the test predicts it?
A.
0.005
B.
0.015
C.
0.245
D.
0.735
Answer:
C
Step-by-step explanation:
Answer:
Here is the answer
Step-by-step explanation:
same thing as last. nearest 100th
Answer:
452.39 mi^2
Step-by-step explanation:
A = πr^2
A = π (12mi)^2
A = 452.39 mi^2
Please mark Brainliest :D
Please mark Brainliest :D
Plz help well mark brainliest if you are correct!
Answer:
12 centimenters.
Step-by-step explanation:
Answer:
6 cm
Step-by-step explanation:
We need to find the distance from R to s which is basically the radius, we know radius is r=d/2 to 12/2 (since 12 is diameter) is 6.
PLEASE HELP!
I AM IN A HURRY
Answer:
Honestly I have no idea what is going on in this passage or whatever it is.
Step-by-step explanation:
i dont know the answer please help me
X and Y are center of circles which intersect at A and C. XA and XC are produced to meet at B and D. Prove AB = CD.
Answer:
On the diagram, construct lines BY, XY and DY.
Now, consider triangles ΔXBY and ΔXDY. We can say that these triangles are congruent by the SAS postulate (they share side XY, XY bisects ∠BYD so ∠BYX=∠DYX, and BY=DY=radius). If they're congruent, their sides are the same so BX=DX.
BX=DX
AB+radius = CD +radius
AB=CD
PLEASE HELP!! I keep getting bots or trolls
How can you restrict the domain of the function f(x) = |x + 4| − 2 so the range of the inverse function, f -1(x), is [-4, ∞)?
A.
x ≥ 4
B.
x ≥ -4
C.
x ≥ 0
D.
x < 4
E.
x ≥ -2
Answer:
a
Step-by-step explanation:
You stop for lunch at a local pizza shop where each pizza is cut into 8
equal slices. If you ate 3 slices of pizzas, what is the approximate area of
the remaining pizza if the diameter of the pizza is 14 inches?
Answer:
11 slices
Step-by-step explanation:
The value of a specific piece of machinery depreciates at a rate of 10% per year. The initial value of the machinery is $400. Write a formula that models the value of the machine after "t" years.
Please answer fast thank you
Answer: Y= 400 (1-0.1t)
Step-by-step explanation:
Y the value after depreciation period
400 initial value
0.1 dep rate
T time
Consider the inequality: y < -x + 4 So, the slope m= -1 and
Y-intercept b =4
true
or
false
helpe meee plz
Answer:true
Step-by-step explanation:
Because your slope is -x or -1 and your y intercept is 4 or b=4
The given condition is true, the inequality: y < -x + 4 So, the slope m= -1 and Y-intercept is b =4.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
It is given that the inequality is,y < -x + 4
A straight line is a combination of endless points joined on both sides of the point.
A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0. The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Compare the given inequality with the standard equation.
We get the slope m= -1 and Y-intercept b =4.
Thus, the given condition is true, the inequality: y < -x + 4 So, the slope m= -1 and y-intercept is b =4.
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