Answer:
137.16
Step-by-step explanation:
we have a formular of the area of a sector:
S= pi*(its angle)/360*R^2
so apply to it
S= pi*(93/360)*13^2=137.16
What is the equation of a straight line which passes through (-1,4) and parallel to the line 3x+27-7-0?*
Step-by-step explanation:
3x+27-7-0=3x+20
gradient=3
y=mx+c
4=3(-1)+c
4+3=7
c=7
y=3x+7
With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is rejected if there is at least one defective unit. The ABCD Electronics Company has just manufactured 4500 write-rewrite CDs, and 150 are defective. If 4 of these CDs are randomly selected and tested, what is the probability that the entire batch will be rejected
Answer:
0.1269 = 12.69% probability that the entire batch will be rejected.
Step-by-step explanation:
CD's are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes 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 successes.
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:
4500 CDs, which means that [tex]N = 5000[/tex]
150 defective, which means that [tex]k = 150[/tex]
4 are selected, which means that [tex]n = 4[/tex]
What is the probability that the entire batch will be rejected?
At least 1 defective, which is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[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 = 0) = h(0,4500,4,150) = \frac{C_{150,0}*C_{4350,4}}{C_{4500,4}} = 0.8731[/tex]
So
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8731 = 0.1269[/tex]
0.1269 = 12.69% probability that the entire batch will be rejected.
Suppose x(t) is the continuous-time function given by x(t) = 1 on the interval [0; 1] and x(t) = 0 elsewhere. a) Calculate the continuous time Fourier transform of x(t). Call this X(j????). b) Suppose x1 (t) = x(2t). Provide the explicit definition for x1 (t) (i.e. over what interval
Answer:
a) X( w ) = 1 /jw - e^-jw / jw
b) X1(t) = 1 for 0.5
X1(t) = 0 for elsewhere
Step-by-step explanation:
x(t) continuous time function = 1
interval ( 0,1 ) also x(t) = 0 outside the given interval
a) Determine the continuous time Fourier transformation of x(t)
x( t ) = u(t) - u(t - 1 )
x ( w ) = 1 /jw - e^-jw / jw
b) supposing x1(t) = x(2t)
x1(t) = u(t) - u ( t - 0.5 )
x1(t) = 1 for 0.5
x1(t) = 0 for elsewhere
I NEEDDDD HELPPPP ITS URGENTTTT!!!!
Select the correct answer from each drop-down menu.
The given equation has been solved in the table.
Step
Statement
1
2
- 6 = 15
-1-6+6 = 15 + 6
* = 21
-2.-= -2.21
3
4
5
y = -42
Use the table to complete each statement.
In step 2, the
In step 4 the
property of equality was applied.
property of equality was applied.
Answer:
2 addition
4 multiplication
Step-by-step explanation:
In step 2 we are adding 6 to each side so we use the addition property of equality
In step 4 we are multiplying by -2 on each side so we use the multiplication property of equality
Answer:
2- addition
4- mult.
Step-by-step explanation:
HELP
Line CD passes through points C(3, -5) and D(6,0). What is the equation of line CD in standard form?
60
O 5x + 3y = 18
O 5x - 3y = 30
O 5x - y = 30
O 5x + y = 18
Answer:
Hello the answer is 5x - y = 30!
Step-by-step explanation:
m = (0 (-5))/(6 - 3) = (0 + 5)/(3) = 5/3
y = mx + b
O = (5/3)(6) + b
O = (30/3) + b
O = 10 + b
-10 = b
3y = 5x - 30
3y + 30 = 5x
5x - 3y = 30
A rectangular park of length 60 m breadth 50 m encloses w volleyball court of length 18 m and breadth 10 m. Find the area of the park excluding the court at the rate of Rs 110 per square meter.
Given
A rectangular park of length 60 m breadth 50 m encloses with volleyball court of length 18 m and breadth 10 m.
To find:
The area of the park excluding the court at the rate of Rs 110 per square meter.
Solution:
Area of a rectangle is:
[tex]Area=length \times breadth[/tex]
Area of whole park is:
[tex]A_1=60 \times 50[/tex]
[tex]A_1=3000[/tex]
Area of volleyball court is:
[tex]A_2=18 \times 10[/tex]
[tex]A_2=180[/tex]
Now, the area of the park excluding the court is:
[tex]A=A_1-A_2[/tex]
[tex]A=3000-180[/tex]
[tex]A=2820[/tex]
Therefore, the area of the park excluding the court is 2820 square meter.
Bill's five-day schedule continually repeats. It calls for him to work 4 days and then take the 5th day off. What is the greatest number of days of that Bill can take in one month?
Find the circumference
please help :)
Answer:
Step-by-step explanation:
circumference = [tex]\pi[/tex]* diameter
circ = 3 * 32
circ = 96
Can someone explain by steps on how to do this
Answer:
8[tex]\sqrt{3}[/tex]
Step-by-step explanation:
This is a special right triangle with angle measures 90-60-30 degrees
The side lengths are like the following :
The side length that sees 90 degrees is represented with x
The side length that sees 60 degrees is represented with x[tex]\sqrt{3}[/tex]
The side length that sees 30 degrees is represented with 2x
the side that sees 90 degrees is given as 16 so x = 8 and so a = 8[tex]\sqrt{3}[/tex]
The area of a triangle is one-half times the base times the height. If the area of a
triangle is 54 sq. in, and its height is 12 in., what is the base????
I rlly need answer haha
Answer:
The base is 90 sq
Step-by-step explanation:
Formula for Area= 1/2*b*h
where b is unknown and area = 54sq
Placing in formula1/2 *b*12 = 54sq
12b = 54*2
12b /12 = 54*2/12
b = 9sq
¿Cuál es interés simple generado en un plazo fijo, por una capital de $10.000.000, al 4% bimestral durante 4 años?
Answer:
S.I = $1,608,000
Step-by-step explanation:
Given the following data;
Principal = $10.000.000Interest rate = 4%Time = 4 yearsTo find the simple interest, we would use the formula;
S.I = PRT
Where;
S.I is the simple interest.P is the principal.R is the interest rate.T is the time.Since the interest is being paid every two months (six times a year), the 4% interest will be divided by 6.
Thus: 4% every two months = [tex] 4 * \frac {2}{12} [/tex] = [tex] \frac {8}{12} [/tex] = 0.67% = 0.0067
4 years = 4 * 6 = 24 two-month years.
Substituting the values into the formula, we have;
S.I = 10.000.000 * 0.0067 * 24
S.I = $1,608,000
Simplify The Equation
Answer:
5
Step-by-step explanation:
5 ^ 1/3 * 25 ^ 1/3
Rewriting 25 and 5^2
5 ^ 1/3 * 5^2 ^ 1/3
We know that a^b^c = a^ (b*c)
5 ^ 1/3 * 5^ 2/3
We know a^b * a^c = a^(b+c)
5^ ( 1/3 + 2/3)
5^1
5
The diagram shows a square with side length 5cm.
The length of the diagonal is y cm.
Find the exact value of y.
Answer:
5sqrt2
Step-by-step explanation:
Using the pythagorean theorem, we get 5^2+5^2=c^2. C is the diagonal here. 25+25=c^2, c^2=50. c=sqrt50. Simplifying it, we get the diagonal as 5sqrt2.
S is the centroid of the triangle. Find IT if ST =9
Answer:
27
Step-by-step explanation:
The centroid divide a median in two parts, with ratio 1/3 and 2/3.
In particular the part between the centroid and the point where the median touches the side is 1/3 of the median.
We can build this proportion:
ST : 1/3 = IT : 3/3
9 : 1/3 = IT : 1
IT = 9 * 3 = 27
Find the area enclosed by the figure. Answer exactly or round to at least 2 decimal places.
Answer:
254.47
Step-by-step explanation:
Can someone help me with this please
Answer:
.574
Step-by-step explanation:
This can be inputted in a calculator to achieve .57357643
To three decimal places that is .574
Given the following information, give as complete a description of this figure as possible, including the measure of any sides and angles and any terms that can be used to describe the polygon.
Answer:
It's a square with four equal sides each side is 6cm. The angles at the four edges are all same have 90° between each two sides. You can calculate the area of the four triangles by using the formula 1/2 × hight × base. The hight will be 6 divided by 2 which is equal 3cm, and the base will be 6cm. So the area of each triangle is 1/2×3×6=9cm^2.
I am getting an amazing offer of 50% +50% discount. How much i have to pay for the shoes priced Rs. 6500? Explain Your Answer.
Answer:
1625
6500 * .5 * .5 =
6500 * .25 = 1625
Step-by-step explanation:
What is the nth term for 2 3 5 13
this is a number is can not devide
David has 4 cages of hamsters. The second cage has 1/2 as many hamsters as the first. The third cage has 1/2 as many hamsters as the second. The fourth cage has 1/2 as many hamsters as the third. What are the fewest hamsters David can have?
Answer:
Lets reverse it
The 4th cage can have minimum 1 hamster
The 3rd cage can have minimum 2 hamster
The 2nd cage can have minimum 4 hamster
The 1st cage can have minimum 8 hamster
David has 15hamsters
Brainliest please
The fewest hamsters David can have are 15
What is Number system?A number system is defined as a system of writing to express numbers.
Given that David has 4 cages of hamsters.
The second cage has 1/2 as many hamsters as the first.
The third cage has 1/2 as many hamsters as the second.
The fourth cage has 1/2 as many hamsters as the third.
Let the first cage has n number of hamsters
the first cage has n/2 number of hamsters
the second cage has n/4 number of hamsters
the third cage has n/8 number of hamsters
the third cage has n/16 number of hamsters
4=n+n/2+n/4+n/8+n/16
n=15
Hence, the fewest hamsters David can have are 15
To learn more on Number system click:
https://brainly.com/question/22046046
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One vertex of a polygon is located at (3, –2). After a rotation, the vertex is located at (2, 3). Which transformations could have taken place? Select two options. R0, 90° R0, 180° R0, 270° R0, –90° R0, –270°
Answer:
R0, 90°
R0, –270
Step-by-step explanation:
Answer:
A, E
Step-by-step explanation:
A delivery truck driver work shift is between 4 - 6 hours (240 - 360 minutes). It takes
the driver 45 minutes to load the truck and an average of 15 minutes per stop to deliver the packages. How many stops on average can he deliver packages during his shift 2
(Plz help)
Answer:
You are good on it
Step-by-step explanation:
Woplor
Help on this please
The number of booker borrowed from a library each week follows a normal distribution. When sample is taken for several weeks, the mean is found to be 190 and the standard deviation is 30
Answer:
2.5%
Step-by-step explanation:
Given :
Mean, μ = 190
Standard deviation, σ = 30
Probability that more than 250 books are borrowed ;
x = 250
P(Z > z)
Z = (x - μ) / σ
P[Z > (x - μ) / σ] = P[Z > (250 - 190) / 30]
P(Z > z) = P(Z > 2)
P(Z > 2) = 1 - P(Z < 2) = 1 - 0.97725
P(Z > 2) = 1 - P(Z < 2) = 0.02275
(0.02275 * 100)% = 2.275%
2.5% is closest to 2.275%
3x3x8x8x8x8 in EXPONENTIAL FORM!
x = multiplication sign, not variable!
Answer:
192^2
Step-by-step explanation:
[tex]\sqrt{3*3*8*8*8*8} = \sqrt {36864} = 192^2[/tex]
Hope you enjoy :)
What is the surface area of the cylinder with height 4 km and radius 2 km? Round
your answer to the nearest thousandth.
Answer:
75.398
Step-by-step explanation:
Surface area,
2πr²+2πrh
= 2π×2²+2π×2×4
= 75.3982237..
= 75.398 (rounded to the nearest hundredth)
HELP!
Find x. Round to the nearest tenth.
Cos(angle) = adjacent leg/ hypotenuse
Cos(61) = x/19
X = 19 * cos(61)
X = 9.2114
Rounded to the nearest tenth = 9.2
Contagious diseases can spread quickly. Suppose 3 people are ill during the first week of an epidemic, and each
person who is ill spreads the disease to five people by the end of the next week. By the end of the 8th week of
the epidemic, how many people have become ill?
OA) 292,968 people
OB) 392,978 people
Answer:
392,978 people is correct
Step-by-step explanation: i am a college math teiacher i work at steve harvard
Instructions: Find the missing side. Round your answer to the nearest
tenth.
30
48°
х
х
=
Answer:
x = 44.8
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos 48 = 30/x
x cos 48 = 30
x = 30 / cos 48
x=44.83429
Rounding to the nearest tenth
x = 44.8