Answer:
We can be 95% confident that the true proportion of listeners who will see a live music show in the next month is between 64% and 72%.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
A 95% confidence interval for the population proportion was 0.68 ± 0.04.
We are 95% sure that the true population proportion is between 0.68 - 0.04 = 0.64 and 0.68 + 0.04 = 0.72.
Thus, the correct answer is:
We can be 95% confident that the true proportion of listeners who will see a live music show in the next month is between 64% and 72%.
28)A regression equation is obtained for a collection of paired data. It is found that the total variation is 24.488, the explained variation is 15.405, and the unexplained variation is 9.083. Find the coefficient of determination.
Answer: The coefficient of determination = 0.6291
Step-by-step explanation:
Given: Total variation is 24.488, the explained variation is 15.405, and the unexplained variation is 9.083.
The coefficient of determination is computed as:
[tex]\text{ coefficient of determination} =\frac{\text{explained variation }}{\text{total variation}}[/tex]
Substituting given values, we get
[tex]\text{coefficient of determination} =\frac{15.405}{24.488}[/tex]
[tex]=0.6291[/tex]
Therefore, the coefficient of determination = 0.6291
Part A
The function f(x) = −4x2 + 18x + 16 models the predicted sales of a hat after x price increases. Use the table showing actual and predicted sales to find the residuals for the model. Part B
Function g also models the predicted sales of the hat in Part A. For function g, the average distance of the residuals from the line y = 0 is 1.3. Is f or g a better model for the data?
Use the drop-down menu to show your answer.
Drag the numbers to complete the table. Numbers may be used once, more than once, or not at all.
Actual Sales ($) Predicted Sales ($) Residual
0 17 16
1 29 30
2 34 34
3 33 34
4 22 24
Answer:
Actual Sales | Predicted Sales | Residual
$ $
17 | 16 | 1
29 | 30 | -1
34 | 34 | 0
33 | 34 | -1
22 | 24 | -2
-----------------------------
hope it helps..
have a great day!!
Determine the missing term/s in the given number sequence and equation
Write the letter of your answer on the blank provided.
The question is incomplete. The complete question is :
I. Determine the missing term/s in the given number sequence and equation. Write the letter of your answer on the blank provided.
1.)91, , ___, 61 A. 79, 67, B. 78, 63, C. 77, 66 , D. 76,69 2.) 38, 46,
, 62, 78 A. 54, 72 B., 54, 70 C. 50, 72, D.50, 74 3.)34, 39, ___, 54, 59A. 49, 44B.45, 49C.44,49D. 40,55 4.) 15, 30, ___, 60,A. 45, 75 B.40, 70C. 15, 70D.15,60 5.） 829 x = 829A. 1 B.3 C.5 D. 7
Answer :
1. Choose A, 2. Choose B, 3. Choose C, 4. Choose A, 5. Choose A
Explanation :
1. 91, 85, __, 73, __, 61
We see that each number has a difference of 6. Therefore, 91 minus 6 is 85. 85 minus 6 is 79, 79 minus 6 is 73, 73 minus 6 is 67, 67 minus 6 is 61.
Therefore, the missing numbers are :
91, 85, 79, 73, 67, 61
So, choose A.
2. 38, 46, __, 62, __, 78
We see that each number has a difference of 8. So, 38 plus 8 is 46, 46 plus 8 is 54, 54 plus 8 is 62, 62 plus 8 is 70, 70 plus 8 is 78.
Therefore, the missing numbers are :
38, 46, 54, 62, 70, 78
So, choose B
3. 34, 39, __, __, 54, 59
We see that each number has a difference of 5. So, 34 plus 5 is 39, 39 plus 5 is 44, 44 plus 5 is 49, 49 plus 5 is 54, 54 plus 5 is 59.
Therefore, the missing numbers are :
34, 39, 44, 49, 54, 59
So, choose C
4. 15, 30, __, 60, __.
We see that each number has a difference of 15. So, 15 plus 15 is 30, 30 plus 15 is 45, 45 plus 15 is 60, 60 plus 15 is 75.
Therefore, the missing numbers are :
15, 30, 45, 60, 75.
So, choose A.
5. 829 x __ = 829
∴ 829 x 1 = 829
So, choose A.
The difference of a number and 10 is less than 4
IM LOW ON TIME AND NEED YOUR HELP 30 PST
Answer:
12.56
Step-by-step explanation:
First of all, pi = 3.14
Diameter=4
Radius=2
3.14×[tex]2^{2}[/tex]
So,
3.14 × 4 =
12.56
Hope this helps!! (Hope I did this in time!!)
factorise 4a-6ab-18ac
Answer:
Step-by-step explanation:
4a-6ab-18ac
=2a(2-3b-9c)
The required factorisation of the given equation is 4a-6ab-18ac = 2a(2 - 3b - 9c).
What is factorisation?In mathematics, factorisation or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.
The given equation is,
4a-6ab-18ac
So factorising each term we have,
4a = 2*2*a
6ab = 2*3*a*b
18ac = 2*3*3*a*c
Thus the equation becomes,
4a-6ab-18ac = 2*2*a - 2*3*a*b - 2*3*3*a*c
taking 2*a common we get,
4a-6ab-18ac = 2a(2 - 3b - 3*3*c)
or, 4a-6ab-18ac = 2a(2 - 3b - 9c)
which is the the required factorisation of the equation.
Thus, the required factorisation of the given equation is 4a-6ab-18ac = 2a(2 - 3b - 9c).
To learn more about factorisation:
https://brainly.com/question/20293447
#SPJ2
Use the definition of the derviative to compute the derivative of f(x)= 1- 7x^2 at the specific point x=2.
Answer:
[tex]f'(x) = -28 \ at \ x = 2[/tex]
Step-by-step explanation:
[tex]f'(2) = \lim_{h \to 0}\frac{f(2+h)) -f(2)}{h} \\\\f(2+h) = 1 - 7(2+h)^2 = 1 - 7(4 +h^2 +4h) = 1 - 28 - 7h^2 - 28h = - 7h^2 -28h - 27\\\\f(2) = 1 - 7(2^2) = 1 - 28 = -27\\\\f(2+h) - f(2) = -7h^2 - 28h - 27 - (-27) = -7h^2 -28h -27 + 27 = -7h^2 -28h\\\\f'(2) = \lim_{h \to 0}\frac{-7h^2 - 28h}{h} \\\\[/tex]
[tex]= \lim_{h \to 0} \frac{h(-7h -28)}{h}\\\\= \lim_{h \to 0} (-7h -28)}\\\\= -7 (0) - 28\\\\= -28[/tex]
Suppose y varies jointly as x and z. Find y when x=9 and z=-3, if y=-50 when z is 5 and x is -10.
Answer:
y = -27 when x = 9 and z = -3
Step-by-step explanation:
y = kxz is the joint variation where k is a constant
Substitute the knowns in to find k
-50 = k( -10)(5)
-50 = -50k
k = 1
y = xz
Now find y
y = 9*-3
y = -27 when x = 9 and z = -3
Is my answer correct?
Answer:
Yes Your answer correct because i know that
Step-by-step explanation:
(◍•ᴗ•◍)❤
[tex] \: \: \: \: \: \: \: \: \huge{ \mathrm{ \underbrace{ A nswer s}\: \: }}[/tex]
Figure : 1The value of an exterior angle is equal to the sum of values of two opposite interior angles.
That is :
[tex]40 \degree + 40\degree = 3x + 20\degree[/tex][tex]80\degree = 3x + 20\degree[/tex][tex]3x = 60\degree[/tex][tex]x = 20\degree[/tex]Therefore, value of x is 20°
And the measure of missing angle is :
[tex]3x + 20\degree[/tex][tex](3 \times 20\degree) + 20\degree[/tex][tex]60\degree + 20\degree[/tex][tex]80\degree[/tex]Figure : 2The Value of an Exterior angle is equal to the sum of values of two opposite interior angles .
Hence,
[tex]v + 71\degree = 107\degree[/tex][tex]v = 36\degree[/tex]And therefore measure of missing angle is 36°, since v was the missing angle here.
_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
PLEASE HELP ME SOLVE FOR X
Answer:
7. x = 10
8. x = 13
9. x = 17
10. x = 5
11. x = 9
12. x = 11
Step-by-step explanation:
Explanation for Number 7.
The exterior angle is always equl to the sum of the two opposite interior angles.
The two opposite interior angles: 62 and (7x + 14)
The exterior angle: (15x - 4)
So you would set it up like _____ = ______ to solve for x
62 + (7x +14) = 15x - 4
62 + 7x + 14 = 15x - 4
Then move the terms
76 + 7x = 15x - 4
Collect the like terms and Calculate
7x - 15x = -4 - 76
Divide both Sides
-8x = -80
/8 /8
-x = -10
/-1 /-1
x = 10
Hope this helps ^^
How can you use a unit cube to find the volume of a prism? Explain.
(points)
Answer:
with times hight
Step-by-step explanation:
multiply with and hight together to get a full lay out of the prisms and if the are halves i usauly add them together to form one unite hope this help and that were on the same page
Answer:
To use a unit cube, you have to multiply the length and the width just like finding the area of a 2D shape. You will then take your "area" and multiply that by the height of the object.
Step-by-step explanation:
Example, if I have a rectangular prism that is 10 inches long, 4 inches wide, and 6 inches tall, I can multiply 10 and 4 to get 40. I will then take the 6 inches, and multiply it to 40. 40x6=240. The volume of my prism is 240.
I would also like to point out that you can multiply the factors in any order because of the commutative property
Use the drop-down menus to explain if the two figures below are congruent, similar, or neither. If the figures are similar, state the scale factor.
PLEASE ANSWER
The drop down selections are is is not for the first part and the second are is can/cannot
also, if there is a scalefactor please tell me what it is!
Answer:
Is can
Is can
1 is the answer
Step-by-step explanation:
But what’s the name of that topic?
Answer:
Is can
Is can
1 is the answer
Step-by-step explanation:
What is the value of
(5 1/3)^3 ?
Answer:
[tex] \frac{4096}{27} [/tex] or [tex]151 \frac{19}{27} [/tex]Step-by-step explanation:
[tex](5 \frac{1}{3} {)}^{3} [/tex][tex](5 + \frac{1}{3} {)}^{3} [/tex][tex]( \frac{16}{3} {)}^{3} [/tex][tex] \frac{ {16}^{3} }{ {3}^{3} } [/tex][tex] \frac{4096}{27} [/tex][tex]151 \frac{19}{27} [/tex]Hope it is helpful....Answer:
4096/27
Step-by-step explanation:
This is Exact Form
HELP HELP HELP HELP PLS
Answer:
D. 14 Please mark as brainliest!
Answer:
14
Step-by-step explanation:
Select the correct answer.
The chaperones for a field trip to the museum will be 7 history teachers and 13 science teachers. Each student on the trip will be assigned to a
group led by two chaperones.
What is the approximate probability that a random student on the trip will be assigned to a group led by two history teachers?
O A
11.1%
ОВ.
2.3%
Ос.
28.6
OD. 12.3
Answer:
A 11.1%
Step-by-step explanation:
The students are chosen from a sample without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[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]
In this question, we have that:
13 + 7 = 20 teachers, which means that N = 20.
7 history teachers means that k = 7.
Two teachers for each student, which means that n = 2.
What is the approximate probability that a random student on the trip will be assigned to a group led by two history teachers?
This is P(X = 2). So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,20,2,7) = \frac{C_{7,2}*C_{13,0}}{C_{20,0}} = 0.1105[/tex]
So close to 11.1%, and the correct answer is given by option A.
Answer: 11.1%
Step-by-step explanation: Correct on Edmentum
The question is in the picture. (Alegbra 1)
Answer:
Step-by-step explanation:
4/5a*3/2a^2
4*3/5a*2a^2
12/10a^3
6/5a^3
therefore ur answer is 6/5a^3
Answer:
option 3
Explanation :
9.
[tex]\frac{4}{5a} \cdot \frac{3}{2a^2} = \frac{12}{10 a^3} = \frac{6}{5a^3}[/tex]
4. If the length and width of the figures below are doubled, how will it affect the volume of the figure?
7 in.
6 in.
9 in
The volume will be doubled.
0
The volume will be quadrupled.
The volume will be 8 times greater
The volume will be 14 times greater
CLEAR ALL
Answer:
8 times greater.
Step-by-step explanation:
Lengths are times 2 so:
Volume = 2^3 times greater
Answer:
8
Step-by-step explanation:
3926 use each digit once, make the largest 4-digit number
Answer:
9632 is the largest number
Rachel uses 75 inches of ribbon to make 4 bows. She uses the same amount of ribbon to make each bow. 1 foot = 12 inches 1 yard = 3 feet How many yards of ribbon will Rachel use to make 12 bows? Enter the answer in the box. yards
Answer: 6.25 yards
Step-by-step explanation:
75 inches = 4 bows
To get 12, you have to multiply 4 by 3. Therefore, you also have to multiply 75 by 3.
75*3 is 225.
225 inches = 12 bows
225 inches is 6.25 yards. Hope this helps :)
PLEASE ANSWER THIS
FOR POINTS
It's a kite or a rhombus.
You are looking to save money to start a business. You currently have $500 saved up. We JustWantUrMoney Bank offers a savings account with 12%
interest, compounded annually. How much money would you have after 10 years? Round to the nearest cent, if necessary.
Answer:
You would have $1552.9 after 10 years.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
You currently have $500 saved up.
This means that [tex]P = 500[/tex]
12% interest, compounded annually.
This means that [tex]r = 0.12, n = 1[/tex].
How much money would you have after 10 years?
This is A(10). So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(10) = 500(1 + \frac{0.12}{1})^{10}[/tex]
[tex]A(10) = 1552.9[/tex]
You would have $1552.9 after 10 years.
A spinner with 12 equally sized slices is shown below. (The 12 slices are red.) The dial is spun and stops on a slice at random. What is the
probability that the dial stops on a red slice?
Write your answer as a fraction or a whole number.
Answer:
100/100
Step-by-step explanation:
XD
find the circumference of a circle with a diameter of 13 feet
Answer:
Step-by-step explanation:
radius=diameter/2
13/2
6.5
circumference of a circle=2πr
=2*3.14*6.5
=40.82 feet
=
Answer:
40.84
Step-by-step explanation:
2x3.14x6.5=40.84
GUYS I NEED HELP FAST
Answer:
i don’t know do it yourself
Step-by-step explanation:
A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 17 cm
long and 4 cm wide. The diameter of each circle is the width of the rectangle. What is the area of the
bookmark? Use 3.14 for it.
The area of the bookmark is
cm?
Answer:
80.56
Step-by-step explanation:
To find the rectangle area you just multiply its length by its width:
17 * 4 = 68
You have to sum two semicircles on top of that. Since it is 2 semicircles you can just calculate one circle. Using the circle area formula: [tex]\pi*r^2[/tex]
Since the radius (r) is 2 and [tex]\pi[/tex] is 3.14, you have the following equation:
A = 3.14 * 2² ==> A = 3.14 * 4 ==> A = 12.56 (A is Area)
Sum the rectangle's area with the circle's area:
12.56 + 68 = 80.56
And vuoila! there's your answer.
What is the value of the expression below if x = 4.
3 + (x - 2)x4
Answer:
515
Step-by-step explanation:
i need help pls ! i’ll give brainliest
i am estimating x = 6 2/3
since 5+4 = 9
9-3 = 6
so about 6 2/3?
i think
Answer:
x = 6 2/3
Step-by-step explanation:
The product of the segments are equal
x * 3 = 5 * 4
x * 3 = 20
divide both sides by 3
x = 20/3
x = 6 2/3
75 points pls hurry!!!
Answer:
15 ÷ 1/3
Step-by-step explanation:
Quotient means division
15 ÷ 1/3
Answer:
15÷1/3
Step-by-step explanation:
Hope this helps!
Have a lovely day!
What's the length of one leg of a right triangle if the length of the other leg is 24 units and the length of the hypotenuse is 25 units?
Answer:
The length would be 7 units
5x(x + 2) - 12x distribute and combine like terms
Answer:
Answer = 3x
Step-by-step explanation:
5x(x + 2) - 12x (x (by itself) = 1)
5x + 10x - 12x
15x - 12x
3x