Answer:
The 95% confidence interval to determine the true proportion of all patrons who would be interested in attending the showing is (0.2121, 0.4671).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
Of the 53 patrons, 18 said that they would come to see the film.
This means that [tex]n = 53, \pi = \frac{18}{53} = 0.3396[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3396 - 1.96\sqrt{\frac{0.3396*0.6604}{53}} = 0.2121[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3396 + 1.96\sqrt{\frac{0.3396*0.6604}{53}} = 0.4671[/tex]
The 95% confidence interval to determine the true proportion of all patrons who would be interested in attending the showing is (0.2121, 0.4671).
PLEASE HELPPPP FAST
ILL GIVE BRAINLIEST
Answer:
A
Step-by-step explanation:
Have a nice day
A new variety of turf grass developed for use on golf courses is claimed to have a germination rate of 85%. To evaluate this claim, 100 seeds are randomly selected and planted in a greenhouse so that they are exposed to identical conditions. If the germination rate is 85% as claimed. What represents the approximate probability that 92 seeds or more will germinate?
Answer:
Probability = 0.01531
Step-by-step explanation:
Prob (Getting 92 out of 100 germinated seeds) follows binomial probability distribution.
N = Number of seeds = 100. r = Number of success (germination) = 92
r = No. Success = Seed germination, Prob (Success) ie P = 85% = 0.85 , Prob (non success ie non germination) ie Q = 1 - 85% = 15% = 0.15
Probability = N c r . (P)^r . (Q)^(n-r)
= 100c92 (0.85)^92 (0.15)^8
= 186087894300 (0.000000321026708) (0.000000256289062)
= 0.01531 {Approx}
Simplify the following expression.
1/2 divided by 1/10
A. 1 whole 1/3
B. 1/20
C. 5
D. 1/5
Answer:
I got C.)5
Step-by-step explanation:
in the diagram below of triangle MNP, Q is a midpoint of MN and R is a midpoint of NP . if QR = 11-x, and MP=57-7x, what is the measure of MP?
Answer:
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Given:
Given that MNP is a triangle. Q is the midpoint of MN and R is the midpoint of NP.
The length of QR is 4x -11 and the length of MP is 9x - 29.
We need to determine the measure of MP.
Value of x:
The value of x can be determined using the triangle midsegment theorem.
Applying the theorem, we have;
Substituting the lengths, we get;
Subtracting both sides by 8x, we have;
Adding both sides of the equation by 29, we get;
Thus, the value of x is 7.
Measure of MP:
The measure of MP can be determined by substituting x = 7 in the length of MP.
Thus, we have;
Thus, the measure of MP is 34.
Step-by-step explanation:
Bert measured a swimming pool and made a scale drawing. The scale of the drawing was
1 centimeter = 1 meter. What scale factor does the drawing use?
Simplify your answer and write it as a fraction.
Submit
Which one is the best prediction! Please and no link answer :(
Answer:
[tex]Prediction = 35[/tex]
Step-by-step explanation:
Given
The attached table
Required
Expected number of Daffodil when N = 150
First, we calculate the probability of having a Daffodil.
[tex]Pr = \frac{Daffodil}{Total}[/tex]
This gives:
[tex]Pr = \frac{14}{14+10+24+12}[/tex]
[tex]Pr = \frac{14}{60}[/tex]
Simplify
[tex]Pr = \frac{7}{30}[/tex]
When there are 150 flowers, the prediction of Daffodils is:
[tex]Prediction = Pr * N[/tex]
[tex]Prediction = \frac{7}{30} * 150[/tex]
[tex]Prediction = 7*5[/tex]
[tex]Prediction = 35[/tex]
MULTIPLE CHOICE QUESTION Parabola: y = x2 + 4x - 5 Which parabola will open downward when graphed? Green Red Parabola: y=-x2+x+6
Answer:
green one
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
• If a > 0 then the graph opens upwards
• If a < 0 then the graph opens downwards
y = - x² + x + 6 , has a = - 1 < 0
Then its graph will open downwards
Color Frequency
Blue
57
Black
84
Silver
183
Red
168
Green
64
If there were 6 times as many of each color car in the parking lot, how
many silver cars would be in the parking lot?
What is the length of MN, given that figure LMNO is a square?
A. 12
B. 6
C. 24
D. 3
Answer:
12 im pretty sureeee
Step-by-step explanation:
42 32 30 32 一 44 36 45 43 What is the median of this set of data?
Answer:
the first one=0
the second one=1
Find the first 5 terms of the arithemitic sequence whose seventh term is 22 and whose eleventh term is 6.
Answer:
The first 5 terms of the arithemitic sequence are 46, 42, 38, 34 and 30.Step-by-step explanation:
Given that:
The arithemitic sequence whose seventh term is 22 and whose eleventh term is 6.To Find:
The first 5 terms of the arithemitic sequence.We know that:
aₙ = a + (n - 1)dWhere,
aₙ = nth term a = First term n = Number of termsd = Common differenceWe have:
Seventh term = 22
⟶ a + (7 - 1)d = 22
⟶ a + 6d = 22
⟶ a = 22 - 6d
Evelenth term = 6
⟶ a + (11 - 1)d = 6
⟶ a + 10d = 6
Substituting the value of a.
⟶ 22 - 6d + 10d = 6
⟶ 22 + 4d = 6
⟶ 4d = 6 - 22
⟶ 4d = - 16
⟶ d = - 16/4
⟶ d = - 4
In equation (i).
⟶ a = 22 - 6d
Putting the value of d.
⟶ a = 22 - 6(- 4)
⟶ a = 22 + 24
⟶ a = 46
Now we have to find the first 5 terms:
a = 46a + d = 46 + (- 4) = 46 - 4 = 42a + 2d = 46 + 2(- 4) = 46 - 8 = 38a + 3d = 46 + 3(- 4) = 46 - 12 = 34a + 4d = 46 + 4(- 4) = 46 - 16 = 30Hence,
The first 5 terms of the arithemitic sequence are 46, 42, 38, 34 and 30.Calculate the average rate of change of the function f(x) = mx + b over the interval 2 < or = x< 13.
Answer: it equals m
C). m
A new, simple test has been developed to detect a particular type of cancer. The test must be evaluated before it is used. A medical researcher selects a random sample of 1,000 adults and finds (by other means) that 2% have this type of cancer. Each of the 1,000 adults is given the test, and it is found that the test indicates cancer in 98% of those who have it and in 1% of those who do not. Based on these results, what is the probability of a randomly chosen person not having cancer given that the test indicates cancer
Answer:
0.3333 = 33.33% probability of a randomly chosen person not having cancer given that the test indicates cancer
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Test indicates cancer.
Event B: Person does not have cancer.
Probability of a test indicating cancer.
98% of 2%(those who have).
1% of 100 - 2 = 98%(those who do not have). So
[tex]P(A) = 0.98*0.02 + 0.01*0.98 = 0.0294[/tex]
Probability of a test indicating cancer and person not having.
1% of 98%. So
[tex]P(A \cap B) = 0.01*0.98 = 0.0098[/tex]
What is the probability of a randomly chosen person not having cancer given that the test indicates cancer?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0098}{0.0294} = 0.3333[/tex]
0.3333 = 33.33% probability of a randomly chosen person not having cancer given that the test indicates cancer
Men's hiking socks regularly sell for $7.90 a pair. They are on sale at three pairs for $17.50. Esteban bought 6 pairs of socks at the sale price.
How much did Esteban save?
A $6.20
OB. $9.60
C. $12.40
D. $35.00
O E $47.40
Answer:
A $6.20
Step-by-step explanation:
first multiply 7.90 x3 and subtract 17.50 from the answer and you should get A
What is the slope of this table ?
Answer:
Slope can be found using rise/run
so y2-y1/x2-x1
What’s the answer help pls
Ashley owns a house with a market value of $135,000 and an assessed value of $110,000. If Cobb County's tax rate is $21.40 per $1,000 of assessed value, what is her annual tax bill?
Answer:
Annual tax bill of Ashley = $2,354
Step-by-step explanation:
Given:
Market value of house = $135,000
Assessed value of house = $110,000
County's tax rate = $21.40 per $1,000
Find:
Annual tax bill of Ashley
Computation:
Annual tax bill of Ashley = [Assessed value of house / 1,000 ]21.40
Annual tax bill of Ashley = [110,000 / 1,000 ]21.40
Annual tax bill of Ashley = [110]21.40
Annual tax bill of Ashley = $2,354
I NEED HELP RIGHT NOW PLS!!
Answer:
I think the answer is 2 because 2.5 x 2 = 5.
I'm sorry if this is wrong, I'm a bit unsure.
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Answer:
2
Step-by-step explanation:
we simply divide 2 1/2 from 5
5÷2 1/2
5÷5/2
5×2/5
2(we cancel five)
4+j3 amps and resistance of 5-j3 ohms what is the voltage of the circuit
Answer:
V = 29 + j3
Step-by-step explanation:
4+j3 amps and resistance of 5-j3 ohms what is the voltage of the circuit
V = IR I = 4+j3 amps R = 5-j3 ohms
V = 4+j3 × 5-j3
V = [4 × 5]+[j3 × -j3] + [4 × -j3] + [j3 × 5]
V = 20 + (-j²)9 + (-j12) + j15
V = 20 - 9 + j3 j3 × -j3 = 9 not -9 j = -1 j × j = -1 not 1 my mistake
V = 11 + j3 WRONG
my daughter's old TI 84 Plus Silver Edtion calculator got 29+j3
If x = 7 units, y = 2 units, and h = 9 units, find the area of the trapezoid shown above using decomposition.
A.
81 square units
B.
99 square units
C.
63 square units
D.
72 square units
Answer:
A) 81 sq units
Step-by-step explanation:
Area of a trapezoid = one-half of height multiplied by the sum of the bases (the bases are the parallel sides)
the problem gives us all the values we need:
height = 9
smaller base is 'x' which is 7
larger bases is 2y+x which is 2(2)+7 = 11
A = 1/2·(9)(7+11)
= 1/2·9·18
= 9·9 which is 81 sq units
Click on the graph below to create a triangle with vertices at the following points.
(-5,0), (-5,9), (0,9)
3. Penny's family decided to go to the Splash Park.
They purchased two adult tickets and two child
tickets. The adult tickets were 1į times the price
of the child tickets and the total cost for all four
tickets was $85. What was the cost of each type
of ticket?
Answer:
21.25
Step-by-step explanation:
because 85$ divided by the 4 tickets is 21.25
Please help!!!!! I will make you best answer!!!!
Factor each.
7) f(x)=x4 – x² - 6
A) f(x) = (x² + 2)(x² – 3)
B) f(x) = (x² + 2)(x² + 4)
C) f(x) = (x² + 3)(x² – 3)
D) f(x) = (x2 + 4)(r? - 3)
Answer:
Option A
Step-by-step explanation:
Given function is,
[tex]f(x)=x^4-x^2-6[/tex]
Hint: [tex](-1=-3+2)[/tex] and [tex](-3)(2)=-6[/tex]
[tex]f(x)=x^4-3x^2+2x^2-6[/tex]
[tex]=x^2(x^2-3)+2(x^2-3)[/tex]
[tex]=(x^2+2)(x^2-3)[/tex]
[tex]f(x)=(x^2+2)(x^2-3)[/tex] is the factored form of the given function.
Option A will be the correct option.
person who answers first I will give 30 points needed asap
what is AoC
BoC
DoE
Answer:
First of AOD is verticallly opposite to BoC which makes it 55°
Angle at AoC is 55°+55°+105° minus 360 which is 145° hope this helps
David measures a side of a piece of wood. The length is 8 feet and the width is one-half of the
length. What is the area, in square feet, of the piece of wood?
Formula:
Area = Length x Width
Answer:
32
Step-by-step explanation:
8÷2=4 8(length)x4(width)=32(area)
Select the correct answer
Which dot plot represents this data set?
31, 35, 38, 31, 32, 38, 37, 39, 31, 35, 32, 38
ОА.
....
..
...
:
.
х
31
32 33
34
35 36
37
38
39
OB.
...
.
32
33
34
35
36
37
38
Ос.
:
...
31
32
33
35
36
37
38
39
D.
...
..
...
.
31
32
33
34
38
29
О Е.
The correct dot plot represents this data set is shown in figure C.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The data set is,
31, 35, 38, 31, 32, 38, 37, 39, 31, 35, 32, 38
Now, From data set;
31 is repeated by 3 times
32 is repeated by 2 times
35 is repeated by 2 times
37 is repeated by 1 times
38 is repeated by 3 times
Hence, The correct dot plot represents this data set is shown in figure C.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
pleaseee helppppp!!!!!!!!!
Answer:
Step-by-step explanation:
the total angle is 89 and we are also give two of the parts
89-30-44=15°
I NEED THE ANSWER AS SOON AS POSSIBLE PLS
Solve the system of equations {4x + 6y = 24
pair for its solution.
2x + y = 8 which has exactly one (x,y)
i only need number 4
Answer:
(3,2)
You can solve this in many ways. You can solve by graphing it, addition/elimination, or by substitution
A bank loaned out $28,500, part of it at the rate of 14% annual interest, and the rest at 4% annual
interest. The total interest earned for both loans was $2,640.00. How much was loaned at each rate?
$
was loaned at 14% and
was loated at 4%.
Answer:
$15,000 was invested at 14% per year, and $13,500 was invested at 4% per year.
Step-by-step explanation:
Given that a bank loaned out $ 28,500, part of it at the rate of 14% annual interest, and the rest at 4% annual interest, and the total interest earned for both loans was $ 2,640.00, to determine how much was loaned at each rate you must perform the following calculations:
28,500 x 0.14 + 0 x 0.04 = 3,990
20,000 x 0.14 + 8,500 x 0.04 = 3,140
15,000 x 0.14 + 13,500 x 0.04 = 2,640
Therefore, $ 15,000 was invested at 14% per year, and $ 13,500 was invested at 4% per year.
Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.
The sum of 7 and the cube of a number.
The sum of 7 and the cube of a number.
Answer:
Step-by-step explanation:
7 + x³ is the sum of 7 and the cube of a number x
