Answer:
The 95% of confidence interval are
(15.8663 ,16.2337)
Step-by-step explanation:
Step(i):-
Size of the Population = 16
Size of the sample (n) = 4
The mean of the sample = 16.05 oz
The standard deviation of the sample (S) = 0.1 oz
Degrees of freedom =n-1 =4-1 =3
t₀.₀₅,₃ = 3.1824
Step(ii):-
The 95% of confidence interval is determined by
[tex](x^{-} - Z_{0.05} \frac{S}{\sqrt{n} } , x^{-} -+Z_{0.05} \frac{S}{\sqrt{n} })[/tex]
[tex](16.05 - 3.1824\frac{0.1}{\sqrt{3} } , 16.05 -+3.1824 \frac{0.1}{\sqrt{3} })[/tex]
(16.05 - 0.1837 ,16.05 +0.1837 )
(15.8663 ,16.2337)
Final answer:-
The 95% of confidence interval are
(15.8663 ,16.2337)
Your class is in groups, working on a combinatorics worksheet. One of the questions asks how many possible ways 5 books out of a box of 12 can be placed on a shelf. Your classmate suggests you calculate 12C5, which is 792. What would you say to explain how this suggestion is flawed, and how would you help correct them
Answer: 95040
Step-by-step explanation:
It is important to note that selection and arrangement are two different things in permutation and combination study. In the scenario above, we have 12 books, out of which 5 is to be arranged on a shelf. The answer prescribed by 12C5 which gives 792, only solves the selection process of choosing 5 books from a total of 12. Every 5 books picked will also have to be arranged on the shelf which is solved as n!(number of ways of arranging n different objects)
Hence, to arrange 5 books from a total of 12 books on a book shelf is
nCr * r!
12C5 * 5!
792 * 120
= 95040
HELP!! will give brainliest!
ху
7 21
8 24
9 27
Function B
Function B
6
4
2
0
2
4
6
8
10
Which statement best compares the rate of change of the two functions?
The rate of change of both functions is 2.
The rate of change of both functions is 3.
The rate of change of function A is greater than the rate of change of function B.
The rate of change of function B is greater than the rate of change of function A.
The rate of change of function A is greater than the rate of change of function B.
Find the Indicated term of the sequence by repeatedly multiplying the first term by the common ratio.Use a calculator.
2-10,50, 6th term
The 6th term of the sequence is____
Answer: -6250
Step-by-step explanation: The common ratio is -5. By multiplying the terms by this ratio, the sixth term is -6250.
Harper is making pudding cups for a big celebration. She made 5 pounds of pudding, but she needed to separate the pudding into individual 4 ounce cups. How many total individual pudding cups did Harper make?
Answer:
20 individual cups
Step-by-step explanation:
5 pounds is equivalent to (5 lb)(16 oz/lb) = 80 oz.
Dividing 80 oz by 4 oz, we get 20. Harper made 20 individual cups.
Kylie's family took a road trip to Mount Rushmore. Kylie fell asleep 34% of the way
through the trip. If Kylie fell asleep after they had travelled 306 miles, what was the
total length of the trip?
Answer:
2 miles
Step-by-step explanation:
The total length of the trip is 464 miles
An equation is used to show the relationship between two or more numbers and variables.
Let x represent the total length of the journey.
Kylie fell asleep after they had travelled 306 miles and she fell asleep 34% of the way. Therefore:
(100% - 34%) of x = 306
66% of x = 306
0.66x = 306
x = 464 miles
The total length of the trip is 464 miles
Find out more on equation at:https://brainly.com/question/24868934
(+12) - (-12) =
Resultado, porque, operación completa, 10 puntos
What is 2/5x6 equal to
ASAP need help with system of equations... I'm too small brain to do it.
Answer:
(x=0, y=11)
(x=2, y=9)
Step-by-step explanation:
first equation substitution for x first.
y=11-x
plug into 2nd equation
(x+2)^2+(11-x-7)^2=20
this should lead you into a quadratics equation.
you get x=0, x=2.
do the same for y value this time, subbing in the x value
(11-y+2)^2+(y-7)^2=20
this also leads into a quad equation
solve and you get y=11, and y=9
Robert wants to try some new chocolate chip cookie recipes. His current recipe calls for three and a half cups of flour for every bag of chocolate chips. He wants to determine which recipes require more or less flour than his current recipe. Sort the items into the diagram below.
Answer:
Step-by-step explanation:
so first u need to add all the numbers
-Bertha
Find the area of the following shape:
Answer:
Step-by-step explanation:
Area:=45
on Monday 76 students played soccer on Tuesday 62 students play soccer on Wednesday 68 students play soccer how many more students played soccer on Tuesday and Wednesday combine then on Monday.
Answer:
The correct answer is 54
Step-by-step explanation:
Add Tuesday and Wednesday together
62+68=130
Subtract the sum of both days by Monday
130-76=54
Silvia has a coupon for 25% off an item that regularly costs $8. How much will Silvia pay if she uses the coupon?
Answer:
0.32
Step-by-step explanation:
just divide
Answer:
$6
Step-by-step explanation:
25%= 1/4
8 divided by 4 =2
$2 is what is taken off
$8-$2 which is $6
Find the value of each angle mentioned above.
Answer:
36°, 42°, 72°, 102°, 108°
Step-by-step explanation:
Angles at a point = 360°
Therefore:
(3x - 6) + x + 3x + 2x + (x + 6) = 360°
Open parthenogenesis
3x - 6 + x + 3x + 2x + x + 6 = 360
Add like terms
10x = 360
Divide both sides by 10
x = 36
✔️Value of each angle:
Plug in the value of x in each expression
x = 36°
3x - 6 = 3(36) - 6 = 102°
3x = 3(36) = 108°
x + 6 = 36 + 6 = 42°
2x = 2(36) = 72°
What’s the volume of a cylinder with a base of 25 and height of 6
A toy train set includes a train station building which is a scale model of a real building. The area of
the front side of the toy building is 1 square foot. The real building's front side has an area of 400
square feet. If we view the real building as a dilation of the toy, what is the scale factor?
Your answer
Answer:
[tex]20[/tex]
Step-by-step explanation:
The area of the front side of the toy model is [tex]1\ \text{ft}^2[/tex]
The area of the real building's front side is [tex]400\ \text{ft}^2[/tex]
So
[tex]1\ \text{ft}^2[/tex] of the toy model is equivalent to [tex]400\ \text{ft}^2[/tex] of the real building.
Area scale factor is given by [tex]k^2[/tex], where [tex]k[/tex] is the scale factor of the sides.
So,
[tex]\dfrac{400}{1}=k^2\\\Rightarrow k=\sqrt{400}\\\Rightarrow k=20[/tex]
Hence, the scale factor is [tex]20[/tex].
The scale factor should be 20.
Important information:The area of the front side of the toy building is 1 square foot. The real building's front side has an area of 400 square feet.
Calculation of the scale factor:Since 1 square foot should be equal to 400 square feet
So,
[tex]400\div 1 = k^2[/tex]
[tex]K = \sqrt{400}[/tex]
k = 20
Learn more about the scale factor here: https://brainly.com/question/23908178
please help!! i’m stuck and i’ll give brainliest but i need an explanation for the answer
9514 1404 393
Answer:
-12
Step-by-step explanation:
The average rate of change of a function f(x) on an interval [a, b] is defined as ...
average rate of change = ((f(b) -f(a))/(b -a)
For the given function and interval, this is ...
average rate of change = (f(1.25) -f(0.75))/(1.25 -0.75)
= (4 -10)/(0.5) = -12
The average rate of change is -12 on the interval.
__
The calculator results for f(1.25) and f(0.75) are shown in the attachment, along with the computation of the average rate of change.
calculate the pay for the following day of a weekly time card given a wage of $16/hr
Answer:
24x16x7
Step-by-step explanation:
Answer:
$2,688 a week
Step-by-step explanation:
16 x 7 x 24 would be 2,688
Answer fast...Show work on both
Answer:
A) 14.3606 ft
B) 2.8112 seconds
Step-by-step explanation:
A) At maximum height which is its peak, the velocity will be zero.
Now, we are given height modeled by;
h(t) = 4.98t² - 14t + 20
v(t) = dh/dt = 9.96t - 14.
At max height which is v(t) = 0, we have;
9.96t - 14 = 0
9.96t = 14
t = 14/9.96
t = 1.4056 s
Thus, height at this time is;
h(1.4056) = 4.98(1.4056)² - 14(1.4056) + 20
h(1.4056) = 14.3606 ft
B) time of flight = 2 × time to get to peak = 2 × 1.4056 = 2.8112 seconds.
of the last 60 people who went to the cash register at the department store, 16 had blomd hair, 20 had black hair, and 3 had red hair. determine the empirical probability the next person will have brown hair
Answer: 20
Step-by-step explanation:
Answer: Plz don't come for me if its wrong but I think the answer is 21
Step-by-step explanation: Because there are 60 people in all and 16 had blond hair, 20 had black hair and 3 had red hair and 60-16-20-3=39 then you have to take 60-39 and you get 21
Find the total surface area of this cubiod
Answer:
148 cm^2.
Step-by-step explanation:
It has 2 surfaces of area 5*6, 2 of 5*4 and 2 of 4*6.
= 2*30 + 2*20 + 2*24
= 60 + 40 + 48
= 148 cm^2.
Q1.
Write 1.74 x 10^-4 as an ordinary number?
Q2.
Write 358.41 x 10^5 in a standard form
Q3.
Write 4 670 000 in a standard form
Answer:
0.000174
3.5841 x 10^7
4.67 x 10^6
Step-by-step explanation:
1.74 x 10^-4 as an ordinary number
As an ordinary number, the decimal point will be moved 4 times to the left due to the negative power
Hence 1.74 x 10^-4 as an ordinary number
= 0.000174
358.41 x 10^5 in a standard form
In standard form, only one number will be before the decimal point, the number of times the decimal point is moved (to ensure that only the first digit is before the point) is added to the power of ten. Hence
358.41 x 10^5 in a standard form
= 3.5841 x 10^5+2
= 3.5841 x 10^7
4 670 000 in a standard form
As done above, only one digit will be before the decimal
4 670 000 in a standard form
= 4.67 x 10^6
A sample prepared for a chemical measurement is completed correctly by 21% of the lab technicians, completed with minor error by 70% and completed with a major error by 9%. Round your answers to three decimal places (e.g. 98.765).(a) If a technician is selected randomly to complete the preparation, what is the probability it is completed without error?(b) What is the probability that it is completed with either a minor or major error?
Answer:
0.210 ; 0.790
Step-by-step explanation:
Given that:
Percentage of correct completion by technician = 21%
Percentage of minor error = 70%
Major error in chemical measurement of sample = 9%
A.) probability that a randomly selected technician completes preparation without error:
This is equal to the percentage of correct completion by technicians :
P(correct completion) = 21% = 0.210
B.) probability that it is completed with either a minor or major error :
P(completion with minor error) + P(completion with major error)
= 70% + 9%
= 0.70 + 0.09
= 0.790
Alaina baked a cake that weighs 28 ounces. Her family has eaten 49% of it. About how many ounces of cake have they eaten?
Answer:
I think the answer is that her family has eaten 13.72 ounces.
Step-by-step explanation:
So it weighs 28 ounces and her family has eaten 49% of it.
28 multiplied by 49% or 0.49 is 13.72.
I hope this helps!
(28 points) In the drawing, a regular polygon is partially covered by a rectangle. what is the number of sides of this polygon?
A: 6
B: 7
C: 8
D :60
Answer:
c:8
Step-by-step explanation:
✔
Answer:
C: 8
Step-by-step explanation:
Find the area of the circle.
Use \mathrm{\pi } = 3 . 14π=3.14 and round your answer to the nearest hundredth.
Answer:
The formula used to find area of circle is: [tex]Area=\pi \:r^2[/tex]
Step-by-step explanation:
We need to find area of the circle
(Note: The data is missing in this question, so I will just explain how to find area of circle.)
The formula used to find area of circle is: [tex]Area=\pi \:r^2[/tex]
where r is radius of circle.
So, If we have value of r and we put π = 3.14, we can find area of circle.
Let us suppose that Radius of circle r = 5
Now, the area of circle having radius 5 is:
[tex]Area=\pi \:r^2\\Area=3.14 \times (5)^2\\Area=3.14\times 25\\Area=78.5[/tex]
So, when radius of circle is 5, Area of circle is 78.5
So, Using the radius given in your question, you can find area of circle.
How do I show work for this?
Answer:
you don't because its not relivant
Step-by-step explanation:
Answer:
You dont need too. Im assuming this is ALEKS
Step-by-step explanation:
Rachel is purchasing a condominium and is financing $485,000 with a 30-year 6/1 ARM at 4.95% with a 1/10 cap structure. What will her payments be at the beginning of year 7?
Answer: Rachel's payment will be $2,588.78
Step-by-step explanation:
Given that;
Loan amount L = $485,000
number of months n = 30 × 12 = 360
Interest rate per month C = 4.95 / (100 × 12) = 4.95/1200 = 0.004125
Now, using the formula
P = L[ c ( 1 + c )ⁿ / ( 1 + c )ⁿ - 1 )
we substitute
P = 485,000 × [ 0.004125 ( 1 + 0.004125 )³⁶⁰ / ( 1 + 0.004125 )³⁶⁰ - 1 )]
P = 485,000 × [ 0.01815619 / 3.4015 ]
P = 485,000 × 0.0053377
p = 2,588.78
Therefore, Rachel's payment will be $2,588.78
Answer:
$2845.65
Step-by-step explanation:
yurr
Iman’s favorite colors are \blue{\text{blue}}bluestart color #6495ed, start text, b, l, u, e, end text, end color #6495ed and \pink{\text{pink}}pinkstart color #ff00af, start text, p, i, n, k, end text, end color #ff00af.
She has \blue{\text{1 blue shirt}}1 blue shirtstart color #6495ed, start text, 1, space, b, l, u, e, space, s, h, i, r, t, end text, end color #6495ed, \pink{\text{1 pink shirt}}1 pink shirtstart color #ff00af, start text, 1, space, p, i, n, k, space, s, h, i, r, t, end text, end color #ff00af, \blue{\text{1 blue hat}}1 blue hatstart color #6495ed, start text, 1, space, b, l, u, e, space, h, a, t, end text, end color #6495ed, \blue{\text{1 blue belt}}1 blue beltstart color #6495ed, start text, 1, space, b, l, u, e, space, b, e, l, t, end text, end color #6495ed, \blue{\text{1 blue pair of pants}}1 blue pair of pantsstart color #6495ed, start text, 1, space, b, l, u, e, space, p, a, i, r, space, o, f, space, p, a, n, t, s, end text, end color #6495ed, and \pink{\text{1 pink pair of pants}}1 pink pair of pantsstart color #ff00af, start text, 1, space, p, i, n, k, space, p, a, i, r, space, o, f, space, p, a, n, t, s, end text, end color #ff00af.
Iman selects one of these garments at random. Let AAA be the event that she selects a pink garment and BBB be the event that she chooses a shirt.
What is P(A\text{ or }B)P(A or B)P, left parenthesis, A, start text, space, o, r, space, end text, B, right parenthesis, the probability that the garment Iman chooses is pink or a shirt?
Answer:
1/2
Step-by-step explanation:
i got this from camellarosegarcia. thank you camellarosegarcia!!!
also got it right on Khan :)
The answer of probability that the garment Iman chooses is pink or a blue shirt is 1/2
What is Probability ?Probability means possibility.
It is a branch of mathematics that deals with the occurrence of a random event.
The value is expressed from zero to one.
The meaning of probability is basically the extent to which something is likely to happen.
Divide the number of events by the number of possible outcomes. This will give us the probability of a single event occurring.
In this case Iman has 2 choices pink or blue
So the probability that the garment Iman chooses is pink or a blue shirt
is 1/2 .
To know more about Probability
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A marketing agency selected a random sample of television viewers to test the claim that the proportion of viewers who watch a particular show is less than 0.20 at a level of significance of 0.05. The test yielded a p-value of 0.47. Assuming all conditions for inference were met, which of the following is the correct conclusion?
a. At the level of significance of 0.05, the null hypothesis is not rejected. There is not convincing evidence to suggest the true proportion of television viewers who watch the show is less than 0.20
b. At the level of significance of 0.05, the null hypothesis is not rejected. There is convincing evidence to suggest the true proportion of television viewers who watch the show is less than 0.20.
c. At the level of significance of 0.05, the null hypothesis is rejected. There is convincing evidence to suggest that the true proportion of television viewers who watch the show is less than 0.20.
d. At the level of significance of 0.05, the null hypothesis is rejected. There is not convincing evidence to suggest that the true proportion of television viewers who watch the show is greater than 0.20.
e. At the level of significance of 0.05, the null hypothesis is rejected. There is convincing evidence to conclude that the null hypothesis is true.
Answer:
A) At the level of significance of 0.05, the null hypothesis is not rejected. There is not convincing evidence to suggest the true proportion of television viewers who watch the show is less than 0.20.
Since the calculated p value by the test is obtained higher than that of significance level, thus we cannot reject the null hypothesis.
Thus, option A: At the level of significance of 0.05, the null hypothesis is not rejected. There is not convincing evidence to suggest the true proportion of television viewers who watch the show is less than 0.20.
We have following information:
The p value obtained by test = 0.47
The test was conducted to test the claim that the proportion of viewers who watch a particular show is less than 0.20 at a level of significance 0.05.
How do we test the hypothesis?We have the null hypothesis as
Null hypothesis here = "the proportion of viewers who watch a particular show is equal to 0.20 "
Alternate hypothesis = "the proportion for aforesaid condition is less than 0.20"
Since the obtained p value is more than the level of significance, thus we have the conclusion that we cannot reject the null hypothesis, thus cannot conclude that the proportion for aforesaid condition is less than 0.20.
Thus, option A: At the level of significance of 0.05, the null hypothesis is not rejected. There is not convincing evidence to suggest the true proportion of television viewers who watch the show is less than 0.20.
Learn more about testing of hypothesis here:
https://brainly.com/question/4454077
The area A of a circle in square feet with a radius r in feet is given by the formula, A=πr2. What is the area of a circle with a radius of 3 feet? Round your answer to the nearest thousandths.
Answer:
28.29
Step-by-step explanation:
A=πr2
=3.14(3^2) (btw the ^2 is exponent)
=3.14(9)
=28.29
