Answer:
The 98% confidence interval for the population proportion of disks which are defective is (0.082, 0.118).
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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Suppose a sample of 1536 floppy disks is drawn. Of these disks, 1383 were not defective.
1536 - 1383 = 153
This means that [tex]n = 1536, \pi = \frac{153}{1536} = 0.1[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1 - 2.327\sqrt{\frac{0.1*0.9}{1536}} = 0.082[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1 + 2.327\sqrt{\frac{0.1*0.9}{1536}} = 0.118[/tex]
The 98% confidence interval for the population proportion of disks which are defective is (0.082, 0.118).
Ceasar opens a bank account and makes an initial deposit of $800. The banker tells Ceasar that he is going to receive an annual rate of 10% compounded continuously on his investment. Find the bank balance assuming Ceasar leaves the account untouched for 8 years.
Can you please do the problem using the formula A(t)=pe^(rt).
Answer:
1780.43
Step-by-step explanation:
Given:
P = 800
r = 10% or 0.1
t = 8
(2+5i)+(1+2i)
Please
Answer:
3 + 7i
Step-by-step explanation:
(2+5i)+(1+2i) =
= 2 + 1 + 5i + 2i
= 3 + 7i
On the top of a hill stands a tower that is 50 feet tall. From a point that is on the same
level as the base of the hill, the angle of elevation to the top of the tower is 56° and the
angle to the bottom of the tower is 51°. What is the distance from the given point to the
bottom of the tower?
a. 74 feet
b. 321 feet
c. 446 feet
d. 47 feet
HELP ME OUT PLS‼️ Any smart as%ses
Answer:
9) shifted down 2
10) shifted right 4
11) more wider
12) more narrow
Step-by-step explanation:
A small class has 10 students. Five of the students are male and 5 are female. I write the
name of each student on a 3 by 5 card. The cards are shuffled thoroughly and I choose one
at random, observe the name of the student, and replace it in the set. The cards are
thoroughly reshuffled and I again choose a card at random, observe the name, and replace it
in the set. This is done a total of four times. Let X be the number of cards observed in these
four trials with a name corresponding to a male student. The random variable X has which of
the following probability distributions?
Options are;
A) the Normal distribution, with mean 2 and variance 1
B) the binomial distribution, with parameters n = 4 and p = 0.5
C) the poisson distribution, with parameters λ = 4/10
D) none of the above
Answer:
B) the binomial distribution, with parameters n = 4 and p = 0.5
Step-by-step explanation:
Number of times card is shuffled is 4 times. Thus; n = 4
X is the number of cards in the time shuffled that corresponds to a male.
We are told there are 10 students and 5 are male and 5 female.
Thus, probability that it corresponds to a male is;
P(corresponding to a male) = 5/10 = 0.5
According to binomial probability distribution, the parameters are;
p = 0.5
n = 4
q = 1 - 0.5 = 0.5
Find the 70th term of the arithmetic sequence 29, 17, 5
Answer:
857
Step-by-step explanation:
70th term = a + d(n-1)
d= 29-17=12
a=29
n-1 = 69
70th term = 29 + 12×69
= 29 + 828
= 857
solve this equation -3x - 8 = 18
8.67 (rounded to the nearest tenth)
Write an equation to represent the following description. Seventeen more than eight times a number is −6.
22A + 14 help what is it
Answer:
B. 2(11A + 7)
Step-by-step explanation:
The common factor of 22 and 14 is 2
Find the value of x.
Answer:
Step-by-step explanation:
2.5
What percent of the model is shaded green?
Answer:
1/5%
Step-by-step explanation:
The percentage of the model shaded green will be 20.
How to find how much percent 'a' is of 'b'?Suppose a number is 'a'
Suppose another number is 'b'
We want to know how much percent of 'b' is 'a'.
Then, it is calculated as:
[tex]\dfrac{a}{b} \times 100[/tex]
(in percentage)
The total number of the box in the figure is 100.
The total number of shaded green = 20
So,
[tex]\dfrac{20}{100} \times 100[/tex]
20%
Therefore, The percentage of the model shaded green will be 20.
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64x = 8.
What is the value of x that makes the equation true?
Enter the correct answer in the boxes.
2
Answer:
x = 1/8
Step-by-step explanation:
The value of x is 1/8.
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,
64x = 8
Solve for x.
64x = 8
Divide both sides with 64.
x = 8/64
x = 1/8
Thus,
The value of x is 1/8.
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PLZ IT'S VERY IMPORTANT
Find the perimeter
Answer:
118 cm
Step-by-step explanation:
8 + 16 + 22 + 29 + (29-16) + (8+22) = 118 cm
What is the approximate surface area of the Hayden Sphere in terms of T?
4731 ft?
37857 ft?
75697 ft2
18927 ft?
Answer:
[tex]A=7569\pi \ ft^2[/tex]
Step-by-step explanation:
The diameter of a sphere is 87 feet.
We need to find its surface area. The formula for surface area is given by :
[tex]A=4\pi r^2[/tex]
Where
r is the radius of the sphere
[tex]A=4\pi \times (\dfrac{87}{2})^2\\\\=7569\pi \ ft^2[/tex]
So, the surface area of the sphere is equal to [tex]7569\pi \ ft^2[/tex].
The points (0, 3), (4, 0), (9, 0), (0, 11), and (14, 0) are plotted on the graph. On a coordinate plane, points (0, 3), (4, 0), (9, 0), (0, 11), and (14, 0) are plotted. Which points are located on the y-axis? Check all that apply. (0, 3) (4, 0) (9, 0) (0, 11) (14, 0)
Answer:
0,3 and 0,11
Step-by-step explanation:
Answer:
(0,3) and (0,11)
Step-by-step explanation:
Did it recently in 2023
Malik deposited 45% of his paycheck into his
savings account. He deposited $288 into his
savings account. How much was Malik's
paycheck?
help me with this please
Answer:
A
Step-by-step explanation:
Brainliest PLEASE
The answers
A. a line with an x-intercept of 3 and a slope of -3/2
B. A line with a Y-intercept of 2 and a slope of 2/3
C. A line with a Y-intercept of 3 and a slope of -2/3
D. Align with a Y-intercept of 2 and a slope of -2/3
Pls help !! :/
Hi I just need the sum for this :) (Sum is the answer)
4(2x + 3) ÷ 5y = ?
Answer:
23
Step-by-step explanation:
Lee la siguiente información.
En una olimpiada matemática, cada estudiante recibe un punto por cada pregunta acertada que tenga, en la siguiente tabla de frecuencias se muestra la clasificación de la cantidad de estudiantes de acuerdo con su puntaje obtenido.
De acuerdo con la tabla, ¿cuál es aproximadamente la desviación estándar?
A.
6,12
B.
7
C.
8,42
D.
9
La desviación estándar se puede calcular mediante la fórmula
S = √∑fx² / n - (∑fx / n) ²
La desviación estándar es 6,12
Poner los valores de la tabla en la hoja de Excel dada.
s = √381430 / 60 - (4770/60) ²
s = √6357.167 -6320.25
s = √36,917
s = 6,0759
Cuando se redondea daría 6,1
The standard deviation can be calculated using the formula
S= √∑fx²/n - (∑fx/n)²
The standard deviation is 6.12
Putting the values from the table in the given excel sheet.
s= √381430/60 - (4770/60)²
s= √6357.167 -6320.25
s= √36.917
s= 6.0759
When rounded would give 6.1
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Solve for the value of a.
(8a)•\(5a-2)
Answer: a =
Submit Answer
о
attempt 1 out o
Answer:
a = 14
Step-by-step explanation:
The angles share a common side terminal side, so they are supplementary angles. This also means they add up to 180º.
8a + (5a - 2) = 180
Combine like terms.
13a - 2 = 180
13a = 182
Divide both sides by 13.
a = 14
This is your answer.
Check your work by plugging "a" back into the original equation.
8a + (5a - 2) = 180
8(14) + [5(14) - 2] = 180
112 + (70 - 2) = 180
112 + 68 = 180
180 = 180
Your answer is correct.
Hope this helps!
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
I'd say D
Step-by-step explanation:
Please help I’ll mark you as brainliest if correct
Answer:
The answer you clicked is correct.
Step-by-step explanation:
1 teacher = 25 scholars.
show proof and show work for brainliest
Answer:
-2(4-1)
Step-by-step explanation:
Do parentheses first because of PEMDAS. That means 4-1 equals 3. Then take -2 and times it by the 3 to get -6.
Answer:
The answer would be -2(4-1)
Step-by-step explanation:
-2 multiplied by 4 is -8
-2 multiplied by -1 is 2
you then add -8 and 2 which equals -6
what is the value of v in 2.5v = 125
Answer: v=50
Step-by-step explanation:
2.5 v=125
v=125/2.5
v=50
Answer:
v=50
Step-by-step explanation:
[tex]\frac{2.5v}{2.5} =\frac{125}{2.5}[/tex] divide both sides by 2.5 to isolate v
v=50
All I'm asking is help me and don't rip me off I'm being generous
Answer:
the eqaution would be
C=1.25h-0.5
The solution for 4 boxes would be
4.50 dollars
Step-by-step explanation:
Well c in this case is total
h is the amount of boxes
Since each box (h) cost $1.25 each, you multiply 1.25 by h.
Then that one time coupon off his total would be just -0.50
is 8 a solution to 1/2x+9=13?
Answer:
yes
Step-by-step explanation:
solve for x by simplifying both sides of the equation, then isolating the variable.
x = 8
help me pls mathhh mhm
Answer:
f = -15
Step-by-step explanation:
3(f/3) equals f
3(-5) equals -15
The final equation becomes: f = -15
Find the distance between the two points rounding to the nearest tenth (if necessary).
(8,-3) and (4,6)
Answer:
9.8
Step-by-step explanation:
x1 = 8 x2 = 4 y1 = -3 y2 = 6
[tex]\sqrt{(x2 - x1)^{2}+(y2 - y1)^{2}[/tex]
[tex]\sqrt{(4 - 8)^{2}+(6 - -3)^{2}[/tex]
= 9.8488
= 9.8
Solve for x and round to the nearest tenth.
х
54
22
Answer:87 hope
this helps
Step-by-step explanation: