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.
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
what is an equivalence class?
This article is about equivalency in mathematics. For equivalency in music, see equivalence class (music).
Congruence is an example of an equivalence relation. The leftmost two triangles are congruent, while the third and fourth triangles are not congruent to any other triangle shown here. Thus, the first two triangles are in the same equivalence class, while the third and fourth triangles are each in their own equivalence class.
In mathematics, when the elements of some set S have a notion of equivalence (formalized as an equivalence relation) defined on them, then one may naturally split the set S into equivalence classes.
The information is from https://en.wikipedia.org/wiki/Equivalence_class
If it is wrong I am sorry
Solve the equation below. 2.3=p+0.6p=
Answer:
p=1.4375
Step-by-step explanation:
For a school fundraiser Paul bought a big box of ducks and wrote prize amounts, in dollars on the bottom of each rubber duck. The prize amounts were $5, $10, $20, $50, and$100. The number of ducks with each prize amount varied so that the total value for all the ducks with each prize amount was always $500. Paul then put all of the rubber ducks in his schools swimming pool. At the fundraiser participants used a long net to catch a duck from the pool. They won the amount written on the bottom of the duck, and then they threw the duck back into the pool before the next persons turn. Since the ducks were returned to the pool after they were caught the chances of winning any particular amount remained the same. Andrew paid $15 to play the game once. If we assume he randomly selected a duck, what is the probability that Andrew won more money than he paid to play the game?
Answer:
Redding East Rotary donates 120 holiday baskets every year. ... Frank was $50 proud. ... Please turn in your tickets and money to Bill Evanhoe directly this year. ... The door prize of $20 to San Francisco Deli was won by Carla Barrett. ... The Duck Derby has raised $3,515,000 and if you put all those ducks end to end they ...
Step-by-step explanation:
The graph of f(x) = x2 was transformed tu
create the graph of d(x) = f(x) + 9. Which of
the following attributes will be the same for the
graphs f(x) and d(x)?
1. the domain
11. the range
III. the axis of symmetry
Answer:
i: the domain.
iii: the axis of symmetry.
Step-by-step explanation:
We have the function:
f(x) = x^2
The domain of this function is the set of all real numbers, and the range is:
R: [0, ∞)
(because 0 is the minimum of x^2)
Now we have the transformation:
d(x) = f(x) + 9 = x^2 + 9
Notice that this is only a vertical translation of 9 units, then there is no horizontal movement, then the axis of symmetry does not change.
Also, in d(x) there is no value of x that makes a problem, so the domain is the set of all real numbers, then the domain does not change.
And d(x) = x^2 + 9 has the minimum at x = 0, then the minimum is:
d(0) = 0^2 + 9 = 9
Then the range is:
R: [9, ∞)
Then the range changes.
So we can conclude that the attributes that will be the same for f(x) and d(x) are:
i: the domain.
iii: the axis of symmetry.
Rewrite the expression by combining like terms.
3y + 5x2 + 10x + 2x2 + 15x - 3y
2 + 2xy + 2x
3x2 + 3x + 6y
7x24
30x² + 6y² + y
Answer:
Factoring 3x2 - 2x - 1
The first term is, 3x2 its coefficient is 3 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 3 • -1 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -2 .
-3 + 1 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 1
3x2 - 3x + 1x - 1
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (x-1)
Add up the last 2 terms, pulling out common factors :
1 • (x-1)
Step-5 : Add up the four terms of step 4 :
(3x+1) • (x-1)
Which is the desired factorization
Final result :
5xy2 • (x - 1) • (3x + 1)
Highlight all of the Like Terms on questions 1-2 please!! (any color) (due in 5 minutes)
Answer:
1. 8,13,8,3,g
2. 8,13,3,g (Like term pair 1) and 8 (Like term pair 2)
Step-by-step explanation:
Bentley had 17 pencils. Kerry
had 32 pencils. How many
more pencils does Kerry have
than Bentley?
Bentley had 17 pencils. Kerry
had 32 pencils. How many
more pencils does Kerry have
than Bentley?
Solution:-Number of pencils Bentley had = 17 pencils.
Number of pencils Karry had = 32 pencils.
Number of pencils Karry have more than Bentley = 32 - 17 = 15
Answer:-Karry have 15 pencils more than Bentley.
1. How many sixths do you need to make one whole unit?
Answer:
6
Step-by-step explanation:
you need 6/6 to make 1
if theres a pie cut 6 times you need all 6 pieces to make it whole again
Answer:
1/6 is one and to make one whole you need 6
Step-by-step explanation:
Write 80% as a decimal.
I
help me??
Answer:
0.8
Step-by-step explanation:
How does 39.54 compare to 39.4
Answer:
39.54 is greater than 39.4
Step-by-step explanation:
Answer:
39.54 is LESS than 39.4
I need help with this
Find the equation of the line that
is perpendicular to the line y = 3x - 1
and
passes through the point (7.4).
Step-by-step explanation:
The given line is
y = 3x - 1
3x - y - 1 = 0 .....i)
The line perpendicular to the line I Is
x + 3y + k = 0 .....ii)
The line II) passes through the point (7, 4) so
7 + 3 *4 + k = 0
7 + 12 + k = 0
19 + k = 0
I. e k = - 19
So the required equation is x + 3y - 19 = 0
Hope it will help :)❤
In ANOP, the measure of ZP=90°, the measure of ZN=26°, and OP = 13 feet. Find
the length of PN to the nearest tenth of a foot.
Answer:
Length of PN = 26.65 ft (Approx.)
Step-by-step explanation:
Given:
In ΔNOP
∠ P = 90°
∠ N = 26°
OP = 13 ft
Find:
Length of PN
Computation:
using trigonometry application
Tan 26 = 13 / PN
0.4877 = 13 / PN
Length of PN = 26.65 ft (Approx.)
i need help and fast hurry! im not joking!
determine the value of x in 5x=25
Answer:
x = 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityStep-by-step explanation:
Step 1: Define
5x = 25
Step 2: Solve for x
[Division Property of Equality] Divide 5 on both sides: x = 5What comes next ? Finish the pattern 618427
The value of the number is 4.
Given to usSeries = {6,1,8,4,2,7}
AssumptionLet the next number in the series be x.
Patternslooking at the pattern the series can be classified into two
odd series consisting of the numbers {6, 8, 2, x}even series consisting of the numbers {1, 4, 7}Odd SeriesAs the x is falling under the odd number series the,
we can see the difference in the odd series is following -2, +6, -2, +6; therefore, following the same series we get
6 + 2 = 8
8 - 6 = 2
2 + 2 = 4
Hence, the value of the number is 4.
Learn more about series and sequence:
https://brainly.com/question/8195467
simplify -2+5(2+6r)
I’ll mark brainlist
Answer:
10+30r
Step-by-step explanation:
-2+5(2+6r)
expand 5(2+6r)
5x2=10
(6r)x(5)=30r
so it is 10+30r
then add that to -2
8+30r
Hope that helps :)
Solve the equation for y: 2 y – 25 = 19
Answer:
2y - 25 = 19
2y = 19 + 25
2y = 44
y = 44 / 2
y = 22
Hope it helps
Use the figure below to determine which of these statements are true? Select All that
apply ,
A < GDR and < GDA are complementary angles.
BCGDC and
C
D.
E
Answer:
A B C F
Step-by-step explanation:
Solve the problem:
The number of inhabitants in millions of a certain city can be calculated using the expression [tex]p (x) = 2^{3} * 10\frac{2t}{3}[/tex] If t represents time in years:
a) How long approximately must elapse for the population of the city to be 200 million inhabitants?
b) How many inhabitants will be in the city after 4 years?
Answer:
Given function:
p(t) = 2³[tex]10^{2t/3}[/tex]a)
Find x when p(t) = 200:
2³[tex]10^{2t/3}[/tex] = 200[tex]10^{2t/3}[/tex] = 2522t/3 = log 25t = 3 log 5t = 2.0969 years ≈ 2 years and 1 monthb)
Find p(t) when t = 4:
p(4) = 2³([tex]10^{2*4/3}[/tex] ) = 8*[tex]10^{8/3}[/tex] = 3713.27 millionA digital communication channel transmits bits of information, usually designated as 0 and 1. If a sender transmits a 0, he/she hopes the recipient receives a 0. If a sender transmits a 1, he/she hopes that the recipient receives a 1. Unfortunately, this is not always the case. Suppose on a certain transmission line, a transmitted 0 is received correctly 90% of the time (10% of the time a 1 is received), and a transmitted 1 is received correctly 74% of the time. (26% of the time a 0 is received.) It is known that on this transmission line, 80% of all bits transmitted are 0 bits. A randomly selected transmitted bit is examined. Say its value is X. The bit received is Y. a.What is the probability that X
Answer:
a) 0.80
b) 0.72
c) 0.02
Step-by-step explanation:
It is assumed that
X = Bit transmitted
Y = Bit received
[tex]X^{0}[/tex] = Transmissted bit is 0
[tex]X^{1}[/tex] = Transmissted bit is 1
[tex]Y^{0}[/tex] = Received bit is 0
[tex]Y^{1}[/tex] = Received bit is 1
As per the given condition
P [ [tex]Y^{0}[/tex] | [tex]X^{0}[/tex] ] = 90%
P [ [tex]Y^{0}[/tex] | [tex]X^{1}[/tex] ] = 100% - 90% = 10%
P [ [tex]Y^{1}[/tex] | [tex]X^{1}[/tex] ] = 74%
P [ [tex]Y^{0}[/tex] | [tex]X^{0}[/tex] ] = 100% - 74% = 26%
P [ Tramitted bits are 0 ] = 80%
Now calculate each situation
a)
As all the transmitted bits are o has possibilit of 80% then
P [ X = 0 ] = P [ [tex]X^{0}[/tex] ] = 80% = 0.80
b)
P [ X = 0, Y = 0 ] = P [ [tex]X^{0}[/tex] , [tex]Y^{0}[/tex] ] = P [ [tex]Y^{0}[/tex] | [tex]X^{0}[/tex] ] x P [ [tex]X^{0}[/tex] ] = 90% x 80% = 72% = 0.72
c)
P [ X = 1, Y = 0 ] = P [ [tex]X^{1}[/tex] , [tex]Y^{0}[/tex] ] = P [ [tex]Y^{0}[/tex] | [tex]X^{1}[/tex] ] x P [ [tex]X^{1}[/tex] ] = 10% x ( 100% - 80% ) = 10% x 20% = 2% = 0.02
What is the y intercept of a line that passes through the points (2, -2.5) and (4, -2)
Answer:
-3
Step-by-step explanation:
To find the slope of this line, you have to subtract that first y coordinate from the second y coordinate, and divide that by the quantity equal to the second x coordinate minus the first.
-2 - -2.5 = 0.5
4 - 2 = 2
0.5/2 = 1/4
Now you plug in the info you already have into a y=mx+b format. Chose one of the pairs of coordinates given in instruction to be the x and y values.
-2 = 1/4(4) + b
-2 = 1 + b
-3 = b
-3 is the y-intercept.
NEED HELP ASAP PLEASE WITH EXPLANATION PLEASE
The original price of a watch was $200. The price was reduced to $160
during a sale. What was the percentage decrease in the price of the
watch?
(1) 20%
(2) 25%
(3) 40%
(4) 80%
Answer:
(1) 20%
Step-by-step explanation:
→ Find the difference in price
200 - 160 = 40
→ Divide difference by original price
40 ÷ 200 = 0.2
→ Multiply the answer by 100
0.2 × 100 = 20%
In AHIJ, the measure of J=90°, IJ = 5 feet, and JH = 3.2 feet. Find the measure of
I to the nearest tenth of a degree.
5
J
H
3.2
Answer:33.6
Step-by-step explanation:
Answer:
32.6
Step-by-step explanation:
To stay in a hotel it costs $104 each night (n) plus a $15 fee for parking. Think of the linear function that demonstrates the total cost (C) of staying in the hotel in terms of the number of nights (n) stayed. whats the initial value ?
Answer:
the equation is: (104 * x) + 15 = y i believe
Step-by-step explanation:
104 OF THE NUMBER of nights so times x because you dont know the number
and + 15 because of the fee
B = I(1 + r)2(1 + r) = I(1 + r)3 What pattern is forming?
With
Sue buys a car costing £8000 plus
20% VAT.
She pays £4000 deposit and then
chooses to pay the balance in ten equal
monthly payments.
Calculate each monthly payment
CS
Answer:
Each monthly payment is of £560.
Step-by-step explanation:
Sue buys a car costing £8000 plus 20% VAT?
She has to pay:
8000 plus 20% of tax. So
[tex]T = 8000 + 0.2*8000 = 9600[/tex]
She pays £4000 deposit and then chooses to pay the balance in ten equal monthly payments.
4000 deposit, and then 9600 - 4000 = 5600 divided in ten equal monthly payments.
5600/10 = 560
Each monthly payment is of £560.
11 - 5x + 4x + 2 = 13 - 1x
True or False?
Answer:
True
Step-by-step explanation:
Simplify the left side. Combine like terms (terms with the same amount of variables).
11 + 2 = 13
-5x + 4x = 4x - 5x = -x
-x + 13 = 13 - x (True)
True is your answer.
~
Evaluate the expression: 2 ⋅ 6^2
Answer:
72
Step-by-step explanation:
6 x 6 x 2 = 72
Answer:
72
Step-by-step explanation:
hope this helps!