Answer:
0.9225 = 92.25% probability that two or more internship trained candidates are hired.
Step-by-step explanation:
Candidates are chosen without replacement, which means that we use the hypergeometric distribution 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]
Group of 13 individuals:
This means that [tex]N = 13[/tex]
6 candidates are selected:
This means that [tex]n = 6[/tex]
6 in trained internships:
This means that [tex]k = 6[/tex]
Find the probability that two or more internship trained candidates are hired.
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
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 = 0) = h(0,13,6,6) = \frac{C_{6,0}*C_{7,6}}{C_{13,6}} = 0.0041[/tex]
[tex]P(X = 1) = h(1,13,6,6) = \frac{C_{6,1}*C_{7,5}}{C_{13,6}} = 0.0734[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0041 + 0.0734 = 0.0775[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.0775 = 0.9225[/tex]
0.9225 = 92.25% probability that two or more internship trained candidates are hired.
Question: Write a word problem that involves terms and coefficients. Discuss how you would go about solving this problem.
Answer:
Mk. So I think you should only copy the part that is in bold.
Terms are something that is being added together. Factor is something that is being multiplied together. A coefficient is a number that is being multiplied by the variable. The 2x, 6x, and 14 are terms because they are being added together.
Please help!!! I need to get this done by today really soon but I’m really confused.
Answer:
Me encanta el pollo, de todos modos, un día que es hoy, por cierto, fui a la tierra de los pollos y caminé en México, ¿sabías que es mi sueño? ¿Olvidé que mi nombre es jemma y me gusta caminar? párrafo así que nos vemos
Step-by-step explanation:
Answer:
Me encanta el pollo, de todos modos, un día que es hoy, por cierto, fui a la tierra de los pollos y caminé en México, ¿sabías que es mi sueño? ¿Olvidé que mi nombre es jemma y me gusta caminar? párrafo así que nos vemos
- my friend wrote her name Esperanza~!
Evaluate the following expression when x = 3 and y = 5: x^2 + y^3 2+x
Answer:
139
Step-by-step explanation:
x^2 + y^3 2+x = 3^2 + 5^3 + 2 + 3
= 9 + 125 + 5
= 139!
Evaluate 150 - ( 2 +x)^ 3 when x - 2
Answer:
86
Step-by-step explanation:
(2+2=4) 4 to the 3rd power is 64. 150 minus 64 is 86
What is the diameter of a sphere with a volume of 616 ft", to the nearest tenth of a
foot?
Answer:
Rounded to the nearest tenth: 10.6
Answer not rounded: 10.56
Step-by-step explanation:
Please quick! I need it by now.
Answer:
Yes
Step-by-step explanation:
What we know:
The watch has a 90-day warranty.
A week has 7 days.
6 weeks have 42 days.
To solve:
90 day warranty - 42 days of the 6 weeks = 48 days of warranty still left.
Note:
Hope it helps!
please help me with this question
What is the volume of the following rectangular prism?
Answer:
The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W. Ex: V = 5 in. The answer is 33 i believe
Step-by-step explanation:
Supplementary angles, please help! 1,2, and 3
Answer:
1) 180 - 17 = 163
2) 180 - 124 = 56
3) 180 - 86 = 94
1. Find the value of
sec Θ if tan Θ = -2 90° ≤ Θ ≤ 180°
a. - sqrt(5)
b. sqrt(5)
c. -5
d. 5
2. Find the value of cos Θ if sec Θ = s/3 270° ≤ Θ ≤ 360°
cos =
3. Find the value of
csc Θ of cos Θ = -3/5 180° ≤ Θ ≤ 270°
csc =
9514 1404 393
Answer:
-√53/5-4/5Step-by-step explanation:
The relevant relations are ...
sec = ±√(tan² +1)
cos = 1/sec
csc = 1/sin = ±1/√(1 -cos²)
Sine and Cosecant are positive in quadrants I and II. Cosine and Secant are positive in quadrants I and IV.
__
1. sec(θ) = -√((-2)² +1) = -√5
2. cos(θ) = 1/sec(θ) = 1/(5/3) = 3/5
3. csc(θ) = -1/√(1 -(-3/5)²) = -√(16/25) = -4/5
What is the Circumference of 2m
Answer:
The circumference of a circle is equal to Pi π times the diameter d
Step-by-step explanation:
Identify the slope. Remember slope is a ratio.
y ={2}{3}x + 8
9514 1404 393
Answer:
2/3
Step-by-step explanation:
Assuming your equation is supposed to be ...
[tex]y=\dfrac{2}{3}x+8[/tex]
the slope is the coefficient of x.
The slope is 2/3.
The current i in ameperes at time t in a particular circuit is given by i=12 sin 5 cos t find the maximum current
Answer:
fart
Step-by-step explanation:
need help pleaseeee !!!
Answer:
A (0,8)
B (1,4)
C (2,2)
D (3,1)
How much would $500 invested at 6% interest compounded monthly be
worth after 5 years? Round your answer to the nearest cent.
A(t) = P (1+r/n)nt
At Mountain Park Middle School, there are 250 seventh-grade students. Currently, 32% of those students are in
advanced math
a. Write an equation to represent the number of seventh-grade students who are not in advanced math. Leta
represent the number of seventh-grade students who are not in advanced math.
Equation to represent the number of seventh-grade students who are not in advanced math is A =250 - (250 x 0.32)
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that Mountain Park Middle School, there are 250 seventh-grade students.
Currently, 32% of those students are in advanced math, then;
Therefore, the number of seventh-grade students who are not in advanced math.
100%-32% = 68%
68% of 250
Equation would be;
A =250 - (250 x 0.32)
To know more about an expression follow;
brainly.com/question/19876186
#SPJ2
hii they asked this again but in cm
Answer:
9 + 9 + 3 + 3 = 24
P = 24 cm
9 x 3 = 27
A = 27 square cm
(I think those are the answers, hope it helps <3 )
Suppose that F(x) = x2 and G(X) = 3x2 + 8. Which statement best compares
the graph of G(x) with the graph of Fx)?
Answer:
the answer is B
Step-by-step explanation:
see the image!
Give Brillianst please!!!!!
Answer:
It’s actually d
Step-by-step explanation:
Factor the algebraic expression.
12a +9
Answer:
110
Step-by-step explanation:
because you have to add the number
This week, Leigh spent a total of
$24.47 on groceries. Her total for
last week was $30.16. Solve the
equation $30.16 − $24.47 = y
to find out how much more
money Leigh spent last week
than this week.
Some iPhones produced within a time period have faulty battery issues. Thirty percent of such iPhones will need battery service while under warranty. A family owns 5 iPhones produced within the time frame of potential faulty production.
(a) What is the probability that exactly two iPhones will end up being serviced under warranty?
(b) What is the probability that at least two iPhones will end up being serviced under warranty?
(c) What is the expected number of iPhones in the family that require service?
(d) What is the standard deviation of the number of iPhones in the family that requires service?
Answer:
a) 0.3087 = 30.87% probability that exactly two iPhones will end up being serviced under warranty.
b) 0.4718 = 47.18% probability that at least two iPhones will end up being serviced under warranty
c) The expected number of iPhones in the family that require service is 1.5.
d) The standard deviation of the number of iPhones in the family that requires service is 1.0247.
Step-by-step explanation:
For each iPhone, there are only two possible outcomes. Either they have battery issues under warranty, or they do not. iPhones are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [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]
And p is the probability of X happening.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Thirty percent of such iPhones will need battery service while under warranty.
This means that [tex]p = 0.3[/tex]
A family owns 5 iPhones produced within the time frame of potential faulty production.
This means that [tex]n = 5[/tex]
(a) What is the probability that exactly two iPhones will end up being serviced under warranty?
This is P(X = 2).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{3} = 0.3087[/tex]
0.3087 = 30.87% probability that exactly two iPhones will end up being serviced under warranty.
(b) What is the probability that at least two iPhones will end up being serviced under warranty?
This is:
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{3} = 0.3087[/tex]
[tex]P(X = 3) = C_{5,3}.(0.3)^{3}.(0.7)^{2} = 0.1323[/tex]
[tex]P(X = 4) = C_{5,4}.(0.3)^{4}.(0.7)^{1} = 0.0284[/tex]
[tex]P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{0} = 0.0024[/tex]
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.3087 + 0.1323 + 0.0284 + 0.0024 = 0.4718[/tex]
0.4718 = 47.18% probability that at least two iPhones will end up being serviced under warranty.
(c) What is the expected number of iPhones in the family that require service?
[tex]E(X) = np = 5*0.3 = 1.5[/tex]
The expected number of iPhones in the family that require service is 1.5.
(d) What is the standard deviation of the number of iPhones in the family that requires service?
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{5*0.3*0.7} = 1.0247[/tex]
The standard deviation of the number of iPhones in the family that requires service is 1.0247.
Find the length of the third side. If necessary, round to the nearest tenth??
Answer:
13
Step-by-step explanation:
5²+12²=c²
25+144=c²
169=c²
c=√169
c=13
Question 1
If a coin is flipped 3 times, what is the probability that it will show all heads?
Create a tree diagram to help you answer this question.
O 1/8
O 3/8
O 1/2
1/4
Let t rep tail and h rep head
First tose= h or t
Second tose= h or t
Third tose= h or t
Counting the head and tail together
Then t= 3 and h=3
According to The formulae
3/6= 1/2
Simplify the expression: 5(-5 + 2y) =
12+16q-q and q=2 evaluate
Answer:q=0,\:q=-16
Step-by-step explanation:
Answer these correctly I’ll give brainalist + 10 points
PLEASE HELP WITH THIS BEST ANSWER GETS BRAINLIEST
This is an example of a random sample: The Student Council wants to survey 7th grade students about their favorite lunch food. They write down the names of all 7th grade students and put their names in a hat, then draw names to collect the sample of students to be asked.
True
False
1. Use the triangle below to determine the values indicated:
Answer:
A. Sine Y = 20 / 29
B. Cos Y = 21 / 29
C. Tan Y = 20 / 21
D. Sine Z = 21 / 29
E. Cos Z = 20 / 29
F. Tan Z = 21 / 20
Step-by-step explanation:
A. Determination of Sine Y
Opposite = 20
Hypothenus = 29
Sine Y =?
Sine Y = Opposite / Hypothenus
Sine Y = 20 / 29
B. Determination of Cos Y
Adjacent = 21
Hypothenus = 29
Cos Y =?
Cos Y = Adjacent / Hypothenus
Cos Y = 21 / 29
C. Determination of Tan Y
Opposite = 20
Adjacent = 21
Tan Y =?
Tan Y = Opposite / Adjacent
Tan Y = 20 / 21
D. Determination of Sine Z
Opposite = 21
Hypothenus = 29
Sine Z =?
Sine Z = Opposite / Hypothenus
Sine Z = 21 / 29
E. Determination of Cos Z
Adjacent = 20
Hypothenus = 29
Cos Z =?
Cos Z = Adjacent / Hypothenus
Cos Z = 20 / 29
Determination of Tan Z
Opposite = 21
Adjacent = 20
Tan Z =?
Tan Z = Opposite / Adjacent
Tan Z = 21 / 20
Find the slope of the line.
Answer:
0
Step-by-step explanation:
Any horizontal line has a slope of 0.
1. Which solid has one base that is a rectangle and four lateral surface that are triangles?
A- Triangular Pyramid
B- Cone
C- Rectangular Prism
D- Rectangular Pyramid
2. A solid with at most one base CANNOT be which of the following?
A- Cone
B- Cube
C- Pyramid
D- Sphere