solo el 20% de los empleados de la población civil que está en una base militar restringida porta su identificación personal. Si llegan 10 empleados, cuál es la probabilidad de que el guardia de seguridad encuentre
Usando la distribución binomial, hay una probabilidad de 0.8926 = 89.26% de que el guardia de seguridad encuentre al menos uno en la base militar restringida.
¿Qué es la distribución binomial?[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Los parámetros son:
n es el número de ensayos.p es la probabilidad de éxito en un ensayox es el número de éxitosEn este problema, hay que:
20% de los empleados de la población civil que está en una base militar restringida porta su identificación personal, o sea p = 0.2.Llegan 10 empleados, o sea, n = 10.La probabilidad de que el guardia de seguridad encuentre al menos uno en la base militar restringida es dada por:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
En que:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074[/tex]
Por eso:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1074 = 0.8926[/tex]
Hay una probabilidad de 0.8926 = 89.26% de que el guardia de seguridad encuentre al menos uno en la base militar restringida.
Puede-se aprender más a cerca de la distribución binomial en https://brainly.com/question/25132113
select the correct word form for 1,348
Answer:
One thousand three hundred forty eight
Step-by-step explanation:
Please help. Find the solution to the system of linear equations. Show work.
Answer:
(1, -3)
Step-by-step explanation:
To find the solution of the system of linear equations, first you need to set them equal to each other and solve.
y = x-4
y = -2x-1
x-4 = -2x-1
x + 2x = -1 + 4
3x = 3
x = 1
To find the corresponding y-value, plug the calculated x into one of the equations (it doesn't matter which one you choose because they will give the same result).
y = x-4
y = 1 - 4
y = -3
If the graph hadn't been provided, you could check this problem by plotting both equations and determining their intersection. Since the graph was provided you can just compare your results to the shown intersection.
Answer: (1,-3)
Step-by-step explanation: The solution of a system of linear equation is where the two lines intersect, in this case, (1,-3). (that's why the dot is there)
The Supremacy Clause makes what the
"Supreme Law of the Land?"
A. The Declaration of Independence
B. The United States Constitution
C. The State Constitutions
Answer:
B. The United States Constitution
10x100 in exponential form
Answer:
10³
Step-by-step explanation:
10 x 100 = 10¹ x 10² = 10³
Answer: 10³
Step-by-step explanation: 10³
27 is what percent of 81?
Answer:
33.3333333%
Step-by-step explanation:
Let's set up the equation:
x 27
--- = ---
100 81
100 x 27 = 2700
2700 ÷ 81 = 33.3333333
So x equals 33.3333333 of a hundred, or in other words, 33.3333333%
Therefore 27 is 33.3333333% of 81.
-kiniwih426
Which purchase may people be required to save a small amount of money invested regularly that grows over time?
A) college
B) groceries
C) concert tickets
D) bus passes
Answer:
college
Step-by-step explanation:
Im giving brainiest if its correct!
Answer:
Multiplication -> Division
Squaring -> Square rooting
Cubing -> Taking the cube root
Addition -> Subtraction
Alternative:
* -> /
^2 -> √
+ -> -
^3 -> 3√
Basically, an inverse is a mathematical manipulation where one operation undoes the action of the other.
Looking at this picture, tell me what the measue of angles 6, 7 and 8
Answer:
Angle 2 = angle 6 = 180 - angle 5 = 180 - 75 = 105
Angle 8 - 180 - angle 6 = 180 - 105 = 75
Angle 7 = 180 - angle 8 = 180 - 75 = 105
please answer this question
Answer:
Given Integral is:
[tex] \\ { \displaystyle{ \int{ \large{ \rm{ \frac{1}{x( {x}^{3} + 1) }dx }}}}} \\ [/tex]
Can be written as:
[tex] \\ { \large{ \longrightarrow{ \displaystyle{ \int { \rm{\frac{3 {x}^{2} }{3 {x}^{2} \times x( {x}^{3} + 1) } dx}}}}}}[/tex]
[tex] \\ { \large{ \longrightarrow \frac{1}{3} \: { \displaystyle{ \int{ \rm { \frac{ {3x}^{2} }{ {x}^{3} ( {x}^{3} + 1)} dx}}}}}}[/tex]
Now to evaluate this integral , we use the method of Substitution.
So, Substitute:
[tex] \: \: \: \: \: \: \: \: \: \: \: \: { \rightarrow \: {\large{\rm{ {x}^{3} = y}}}}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \rightarrow \: { \large{ \rm{3 {x}^{2} dx = dy}}}[/tex]
So, on Substituting the values in above integral, we get:
[tex] \\ { \large{ \longrightarrow{ \frac{1}{3} \: \displaystyle{ \int{\rm{ \frac{1}{y(y + 1)} }}}}}}[/tex]
[tex] \\ { \large{ \longrightarrow{ \frac{1}{3} \: { \displaystyle{ \int{ \rm{ \frac{1 + y - y}{y(y + 1)}dy }}}}}}}[/tex]
[tex] \\ { \large{ \longrightarrow{ \frac{1}{3} \: { \displaystyle{ \int{ {\rm{ \frac{y + 1 - y}{y(y + 1)}dy }}}}}}}}[/tex]
[tex] \\ { \large{ \longrightarrow{ \frac{1}{3} \: { \displaystyle{ \int{ \rm{ \left[ \frac{1}{y} - \frac{1}{y + 1} \right ] }dy}}}}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{ \frac{1}{3} \left( log |y| - log |y + 1| \right) + c}}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{ \frac{1}{3} log | \frac{y}{y + 1} | + c }}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{ \frac{1}{3} log | \frac{ {x}^{3} }{ {x}^{3} + 1 } | + c }}}}[/tex]
Hence,
[tex] \\{ \boxed{ \pink { \large{ \displaystyle{ \int{ \rm{ \frac{dx}{x ({x}^{3 } + 1 )} = \frac{1}{3 } log{ \huge{ |}} \frac{ {x}^{3} }{ {x}^{3} + 1} { \huge{ | }} + c}}}}}}}[/tex]
After applying algebraic substitution, partial fraction decomposition and integration rules the integral of the non-trascendental expression [tex]\frac{1}{x\cdot (x^{3}+1)}[/tex] is equal to the trascendental expression [tex]I = \frac{1}{3}\cdot \ln \left|\frac{x^{3}}{x^{3}+1} \right| + C[/tex].
How to determine the indefinite integral of a given expressionAccording to the statement we have an integrable rational expression formed by non-trascendental expressions, that is, expressions whose behavior is described solely by algebraic components. This expression can be solved by algebraic substitution after making the following modifications:
[tex]\int {\frac{dx}{x\cdot (x^{3}+1)} } = \int {\frac{3\cdot x^{2}}{3\cdot x^{3}\cdot (x^{3}+1)} } \, dx = \frac{1}{3}\int {\frac{3\cdot x^{2}}{x^{3}\cdot (x^{3}+1)} } \, dx[/tex]
And the following substitutions are used: u = x³, du = 3 · x² dx
[tex]\frac{1}{3} \int {\frac{du}{u \cdot (u+1)} }[/tex]
This is expression is equivalent to the following by partial fraction decomposition:
[tex]-\frac{1}{3}\int {\frac{du}{u+1} } \, du +\frac{1}{3}\int {\frac{du}{u} }[/tex]
And the integral is now solved:
[tex]I = -\frac{1}{3}\cdot \ln |u+1| + \frac{1}{3}\cdot \ln |u| + C[/tex]
[tex]I = \frac{1}{3}\cdot \ln \left|\frac{u}{u+1} \right| + C[/tex]
[tex]I = \frac{1}{3}\cdot \ln \left|\frac{x^{3}}{x^{3}+1} \right| + C[/tex]
Where C is the integration constant.
After applying algebraic substitution, partial fraction decomposition and integration rules the integral of the non-trascendental expression [tex]\frac{1}{x\cdot (x^{3}+1)}[/tex] is equal to the trascendental expression [tex]I = \frac{1}{3}\cdot \ln \left|\frac{x^{3}}{x^{3}+1} \right| + C[/tex].
To learn more on integrals, we kindly invite to check this: https://brainly.com/question/22008756 #SPJ5
help please, find the solution(s) for x In the equation below.
x2 + 7x = 8
OA. x = -1; x = 8
ОВ. x = 1; x = 8
OC. x = 1; x = 8
OD. x = -1; x = -8
Answer:
The correct answer is C, x = 1; x = -8
Step-by-step explanation:
[tex]x^2+7x=8[/tex]
[tex]x^2+7x-8=0[/tex] <== a = 1, b = 7, c = -8
[tex]x=\frac{-b\±\sqrt{b^2-4ac}}{2a} \\\\x=\frac{-7\±\sqrt{7^2-4*1*-8}}{2*1} \\\\x=\frac{-7\±\sqrt{7^2-4*-8}}{2} \\\\x=\frac{-7\±\sqrt{49+32}}{2} \\\\x=\frac{-7\±\sqrt{81}}{2} \\\\x=\frac{-7\±9}{2} \\\\x=\frac{-7+9}{2}\ \ and\ \ x=\frac{-7-9}{2} \\\\x=\frac{2}{2}\ \ and\ \ x=\frac{-16}{2} \\\\x=1\ \ and\ \ x-8\\\\x=1,\ x-8[/tex]
Hope this helps!
A line passes through the point (1,2) and has a slope of −8.
Write an equation in point-slope form for this line.
Answer:
y - 2= -8(x - 1)
(I believe so)
Step-by-step explanation:
Since the formula of a point-slope form is y-y1=m(x-x1), you should just substitue the values into the formula.
(If needed simplified version : y-2=-8x+8)
in 1960 the population of Indonesia was 88 million. in 2010 the population of Indonesia was 242 million. *calculate the percentage increase from 1960 to 2010? *estimate the population in 2060 if the rate of increase doesn't change
Answer:
Step-by-step explanation:
1960 = 88,000,000
2010 = 242,000,000
formula: (new-old)/old* 100
(242,000,000 - 88,000,000)/88,000,000 * 100
154,000,000/88,000,000*100
1.75*100
=1.75%
I'M SORRY NOT SURE OF THE SECOND PART
5 multiply by 3 over 5 pls i need help ;/
Answer:
3
Step-by-step explanation:
I used a calculator
Hi! I hope you're enjoying your day!
First of all, 5 times 3 (multiplied by 3) is equal to 15.
Then, 15 over 5 (15 divided by 5) is equal to 3.
Here's an easier way to think about it:
[tex]\bold{\displaystyle\frac{5*3}{5}}[/tex]
The 5's cancel, so we're left with 3.
Hence, the answer's
[tex]\boxed{\boxed{\bold{3}}}[/tex]
Hope everything is clear.
If you have any questions, please ask.
#LearningIsFun
[tex]\rule{250}{3}[/tex]
A plumber charges $50 to visit a house plus $40 for every hour of work. Define a variable to represent the unknown quantity. Then write an expression to represent the total cost of hiring a plumber.
Answer:
50 + 40x
Step-by-step explanation:
A factory inspector found flaws in 4 out of 22 wooden boxes. Considering this data, how many flawed
boxes would you expect the inspector to find in a batch of 44 boxes?
flawed boxes
What can be used to define any
nonvertical line in the Cartesian
coordinate system?
An equation can be used to define any non-vertical line in the Cartesian Coordinate system. The correct option is C.
What is a Non-vertical Line ?A nonvertical line is a line that has a slope and is defined by its steepness.
It can be represented by a straight line equation y = mx+c, here m is the slope and c is the y-intercept.
The slope can be determined by using two points on the line (x₁,y₁) and (x₂,y₂)
m = (y₂-y₁)/(x₂-x₁)
From the options given, An equation can be used to define any non-vertical line in the Cartesian Coordinate system.
The correct option is C.
The complete question is attached with the answer.
To know more about Nonvertical Line
https://brainly.com/question/14517469
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Choose the equation of a line that is perpendicular to the y-axis and passes through the point (5, -2).
the value of y is one less than the quantity six times the value of x. What is that as a equation?
Answer:
y = 6x - 1
Step-by-step explanation:
Hope it helps.
Which number is equivalent to
[tex] - \frac{24}{6} [/tex]
A-18
B 18
с 4
D -4
Answer:
D) -4
Step-by-step explanation:
Step 1: Divide 24 by 6.
[tex]\frac{24}{6}[/tex] [tex]4[/tex]Step 2: Put in the negative sign.
[tex]4[/tex] [tex]-4[/tex]Thus, the answer is D) -4.
Help me please!!!!!!!
Answer:
56 cm²
Step-by-step explanation:
The area of the composite shape is the sum of the areas of the parts. In this case, that is the sum of the areas of the central rectangle and four (4) congruent triangles.
The rectangle has dimensions 11 cm × 4 cm, so its area is ...
A = LW = (11 cm)(4 cm) = 44 cm²
Each triangle has a base of 2 cm, and a height of 2+1 = 3 cm. The area of each triangle is ...
A = 1/2bh = 1/2(2 cm)(3 cm) = 3 cm³
The total area of the rectangle and 4 triangles is ...
area of the figure = (44 cm²) +4(3 cm²) = 56 cm²
What is the simple Interest if the amount of money borrowed is $2,300 at 6.5% for 7 years?
Answer:
Step-by-step explanation:
Which of the following is the graph of f(x)= x^2+4x+3/x+2
Answer:
here’s what I got
Step-by-step explanation:
What is 13% of the number 70?
Answer:
9.1
Step-by-step explanation:
(13*70)/100
Answer:
9.1Explanation:
13/100 with 70 = (13÷100)*70= (13*70)÷100=9.1
hope this helps.
Solve this Question. 25 points + Brainelist
Answer:
[tex]\log_{10}2=0.3010[/tex]
Step-by-step explanation:
[tex]a^c=b \implies \log_ab=c[/tex]
Given: [tex]2=10^{0.3010}[/tex]
Therefore,
a = 10b = 2c = 0.3010[tex]10^{0.3010}=2 \implies \log_{10}2=0.3010[/tex]
The graph of y=f(x) is grapes below. What is the end behavior of f (x)?
Answer:
there is no graph and y=y makes no sense
Step-by-step explanation:
Which expression means five times the sum of b and two?
A.
B.
C.
D.
Answer:
A
5(b+2)
Step-by-step explanation:
Solution:
Note that:
Given sentence: Five times the sum of b and twoLet's reread the sentence carefully.
Five times the sum of b and two.
↥ ↥ ↥
5 (b + 2)
Putting them together gives us 5(b + 2).
find the equation of the line
Answer:
equation= y-y¹=m(x-x¹)
where m= slope = y²-y¹
x²-x¹
= 10-4
6-0
= 6
6
= 1
= y-10=1(x-4)
y-10=1x-4
y=1x-4+10
y=1x+6
hope this helps
Please help me with this!!!
Answer:
See explanation below
Step-by-step explanation:
Let's use Q10 as an example and you will work on Q11-12 as they are the same.
I believe the middle column (5x-4) wants you to substitute the given x, so:
Q10.1: 5(-2)-4
Q10.2: 5(4)-4
Q10.3: 5(0)-4
Q10.4: 5(1)-4
The right most column (f(x)) should be asking you the answers from your middle column, so:
Q10.1: -14
Q10.2: 16
Q10.3: -4
Q10.4: 1
As for the domain and range, let's define these two names in case you haven't learnt them:
Domain: What reasonable x values can be inputted into the function.
Range: What reasonable results will be shown after calculating.
In these case, you can input any real numbers into x as you like into the function, the results will always be other real numbers.
Hence, for Q10-12, D and R should be "All real numbers"
Just some extra info, Let the function f(x) be [tex]\frac{1}{x+1}[/tex]. Since the denominator cannot be 0 in a fraction, we say that the domain of x is "All real numbers except -1" as [tex]-1+1 = 0[/tex] and [tex]\frac{1}{0}[/tex] is undefined.
help what answer what is the answer helppppppppppp
Answer:
1st option
Step-by-step explanation:
Complementary angles sum to 90°
∠ BFC and ∠ AFB form a right angle and sum to 90°
These angles are therefore complementary