Answer:
a) P(A) = 0,4607 or P(A) = 46,07 %
b) P(B) = 0,7120 or 71,2 %
c) P(C) = 0,2055 or P(C) = 20,55 %
Step-by-step explanation:
We will use two concepts in solving this problem.
1.- The probability of an event (A) is for definition:
P(A) = Number of favorable events/ Total number of events FE/TE
2.- If A and B are complementary events ( the sum of them is equal to 1) then:
P(A) = 1 - P(B)
a) The total number of events is:
C ( 24,4) = 24! / 4! ( 24 - 4 )! ⇒ C ( 24,4) = 24! / 4! * 20!
C ( 24,4) = 24*23*22*21*20! / 4! * 20!
C ( 24,4) = 24*23*22*21/4*3*2
C ( 24,4) = 24*23*22*21/4*3*2 ⇒ C ( 24,4) = 10626
TE = 10626
Splitting the group of tanks in two 6 with h-v and 24-6 (18) without h-v
we get that total number of favorable events is the product of:
FE = 6* C ( 18, 3) = 6 * 18! / 3!*15! = 18*17*16*15!/15!
FE = 4896
Then P(A) ( 1 tank in the sample contains h-v material is:
P(A) = 4896/10626
P(A) = 0,4607 or P(A) = 46,07 %
b) P(B) will be the probability of at least 1 tank contains h-v
P(B) = 1 - P ( no one tank with h-v)
Again Total number of events is 10626
The total number of favorable events for the ocurrence of P is C (18,4)
FE = C (18,4) = 18! / 14!*4! = 18*17*16*15*14!/14!*4!
FE = 18*17*16*15/4*3*2 = 3060
Then P = 3060/10626
P = 0,2879
And the probability we are looking for is
P(B) = 1 - 0,2879
P(B) = 0,7120 or 71,2 %
c) We call P(C) the probability of finding exactly 1 tank with h-v and t-i
having 4 with t-i tanks is:
reasoning the same way but now having 4 with t-i (impurities) number of favorable events is:
FE = 6*4* C(14,2) = 24 * 14!/12!*2!
FE = 24* 14*13*12! / 12!*2
FE = 24*14*13/2 ⇒ FE = 2184
And again as the TE = 10626
P(C) = 2184/ 10626
P(C) = 0,2055 or P(C) = 20,55 %
5.
Evaluate f(x) = -2x2 -4 for x = 3.
O -10
O -18
10
-22
Answer:
-22
Step-by-step explanation:
f(x) = -2x^2 - 4 for x = 3
f(3) = -2(3)^2 - 4
f(3) = -2(9) - 4
f(3) = -18 - 4
f(3) = -22
Answer: -22
Answer:
-22
Step-by-step explanation:
Given: PS=RT, PQ=ST
Prove: QS=RS
Answer:
I) Eq(1) reason: sum of segments of a straight line
II) Eq(2) reason: Given PQ = ST & PS = RT
III) Eq(3) reason: sum of segments of a straight line
IV) Eq(4) reason: Same value on right hand sides of eq(2) and eq(3) demands that we must equate their respective left hand sides
V) Eq(5) reason: Usage of collection of like terms and subtraction provided this equation.
Step-by-step explanation:
We are given that;
PS = RT and that PQ = ST
Now, we want to prove that QS = RS.
From the diagram, we can see that from concept of sum of segments of a straight line we can deduce that;
PQ + QS = PS - - - - (eq 1)
Now, from earlier we saw that PQ = ST & PS = RT
Thus putting ST for PQ & PS for RT in eq 1,we have;
ST + QS = RT - - - - (eq 2)
Again, from the line diagram, we can see that from concept of sum of segments of a straight line we can deduce that;
RS + ST = RT - - - - -(eq 3)
From eq(2) & eq(3) we can see that both left hand sides is equal to RT.
Thus, we can equate both left hand sides with each other to give;
ST + QS = RS + ST - - - (eq 4)
Subtracting ST from both sides gives;
ST - ST + QS = RS + ST - ST
This gives;
QS = RS - - - - (eq 5)
Thus;
QS = RS
Proved
d) Jerry, Barry, and Harry went fishing and they each caught a giant fish! Jerry's fish is 62 inches long. Barry's fish is 7 feet long. Harry's fish is 2 yards long. Who caught the longest fish?
6. Which of the following is true about the
graph of the equation y = -5x + 10?
A. The graph would increase from left to right.
B. The graph would pass through the origin.
C. The graph would have a positive y-intercept.
Answer:
C
Step-by-step explanation:
The graph would have a positive y-intercept
The y-intercept is when x = 0
To find the y-intercept, plug in 0 for x
y = -5(0) + 10
y = 0 + 10
y = 10
10 is a positive number
Y-intercept is positive
PLS I NEED THIS LIKE TODAY
Consider an example of a deck of 52 cards:
The dealer in a card game draws 3 cards from a deck of 52 cards and places them face up on a table. Select all of the correct probabilities.
Answer:
please be more specific
Need Help with this Appreciate!
Answer:
Whatever problem choice is equivalent to 2
Step-by-step explanation:
25 POINTS!!!!!!!
Which show is better Johnny Test or Chowder?
Answer:
Johnny Test
Step-by-step explanation:
what are the y values of the equation y = 3x + 4 at x values -1, 0, 1, 2
Answer:
-2; 1; 4; 7
Step-by-step explanation:
To solve for y, plug the x value in to the expression
y = 3(-1) + 1
y = -3 + 1
y = -2
When x = -1, y = -2
y = 3(0) + 1
y = 0 + 1
y = 1
When x = 0, y = 1
y = 3(1) + 1
y = 3 + 1
y = 4
When x = 1, y = 4
y = 3(2) + 1
y = 6 + 1
y = 7
When x = 2, y = 7
A nursery owner buys 7 panes of glass to fix some damage to his greenhouse. The 7 panes cost $17.15. Unfortunately,he breaks 2 more panes while repairing the damage. What is the cost of another 2 panes of glass?
Answer:
$4.90
Step-by-step explanation:
17.15 / 7= 2.45
2.45*2=4.9
the cost of another two pains of glass is $4.90
What is a good topic to research for linear regression?
Answer:
Growth rate of plants compared to average daily temperature.
Step-by-step explanation:
Ill MARK BRAINLIST PLS HELP !!!
Answer:
28
Step-by-step explanation:
you find the length of the side of one cube by using the equation they gave you, so 343^(1/3) would be 7. they're are 4 cubes lined up, so you multiply 7 by 4 to get 28.
Find the remainder when you divide 28282828282838·28282828282839 by 28.
Answer:
1.010101e+12
Step-by-step explanation:
28282828282838.28282828282839 / 28
Answer:
The answer to the question is 26.
-f-6-2f=8
I need help
Answer:
f= -14/3
Step-by-step explanation:
-f-6-2f=8
(given)
-3f-6=8
(combine like terms)
-3f=14
(add 6 to both sides)
f= -14/3
what is the slope between the points (1,19) and (-2,-7) simplify
In a batch of pedometers, are believed to be defective. A quality-control engineer randomly selects units to test. Let random variable Xthe number of defective units that are among the units tested. The probability mass function f(x)P(Xx) is given below. f(x){(0,), (1,), (2,), (3,)} Recall that the mean of a discrete random variable X with probability mass function f(x)P(Xx) is given by . Find for the probability mass function above. What does this number represent?
Answer:
The mean for the probability mass function is 0.64287.
Step-by-step explanation:
The complete question is:
In a batch of 28 pedometers, 3 are believed to be defective. A quality-control engineer randomly selects 6 units to test. Let random variable X = the number of defective units that are among the units tested.
The probability mass function f (x) is:
f (x) = {(0, 0.47009), (1, 0.42308), (2, 0.10073), (3, 0.00611)}
Solution:
The mean of a discrete random variable X with probability mass function f (x) is:
[tex]\mu=\sum\limits^{n}_{x=1}{x\times f(x)}[/tex]
Compute the mean for the probability mass function above as follows:
[tex]\mu=\sum\limits^{n}_{x=1}{x\times f(x)}[/tex]
[tex]=(0\times 0.47009)+(1\times 0.42308)+(2\times 0.10073)+(3\times 0.00611)\\=0+0.42308+0.20146+0.01833\\=0.64287[/tex]
Thus, the mean for the probability mass function is 0.64287.
This values represents the expected number of defective units for every 6 units tested.
- 2(3x + 4) - 2x - 5
Maria took a taxicab from her home to the theater
downtown. The taxicab company charges a flat fee of $5.00
plus $0.25 per mile. Which equation represents C, the total
cost of her ride, in terms of m, the length of the trip in
miles?
Answer:
the answer is #3
Step-by-step explanation:
the expression that represents C, the total cost of her ride, in terms of m, the length of the trip in miles is C = 5 + 0.25m.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given this, Maria took a taxicab from her home to the theater downtown. The taxicab company charges a flat fee of $5.00 plus $0.25 per mile.
Since, C represents the total cost of her ride, in terms of m, the length of the trip in miles.
So,
Total cost = fixed cost + variable cost
In our case
Fixed cost = 5
and the variable cost = 0.25 per mile
For m miles variable cost = 0.25*m
Thus,
Total cost = 5 + 0.25*m
C = 5 + 0.25m
therefore, the expression that represents C, the total cost of her ride, in terms of m, the length of the trip in miles is C = 5 + 0.25m.
Learn more about Mathematical operations here:
https://brainly.com/question/20628271
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Which sequence of transformations creates a similar but not congruent triangle? (5 points)
A
Rotation and reflection
B
Reflection and translation
C
Translation and rotation
D
Dilation and reflection
Answer:
D. Dilation and reflection
Step-by-step explanation:
There are 4 main types of transformations, rotation, reflection, translation, and dilation. 3 of these transformations are defined as rigid, rigid means that the transformation preserves angles and distance between points. If these aspects are preserved than the image is congruent. The only non-rigid transformation listed is dilation, therefore D must be correct.
Answer:
d
Step-by-step explanation:
Geometry question. Please help!!!
Answer:
C
Step-by-step explanation:
answer fast plz.........................
Answer:
180 customers
Step-by-step explanation:
72/100 × x/250
cross multiply
72 × 250 = 100 × x
18000 = 100x
divide both sides by 100
180 = x
Answer:
180
Step-by-step explanation:
72% of 250 is 180 :)
what is the ratio of students to adults ? complete the statement the ratio of students to adults is ? 20 to 4 is the awnser
Answer:
20 to 4
Step-by-step explanation:
is the answer because it is the amount of students to adults.
The ratio of boys to girls in a group is 5:1 if there are 60 more boys than girls work out how many people there are in total
Answer:
90.
Step-by-step explanation:
If the number of girls = x then the number of boys = x+60 and the total is 2x + 60.
As the ratio of boys to girls = 5:1, the fraction of boys = 5/6 and of girls is 1/6.
So x = 1/6(2x + 60)
x = 1/3x + 10
2/3 x = 10
x = 10*3/2 = 15.
So the total number of people = 2(15) + 60 = 90.
Elaine drove 3 miles forward, then 3 miles backward. How many miles did she drive?
Answer:
6 miles
Step-by-step explanation:
3 plus 3= 6
Answer:
6 miles
Step-by-step explanation:
3 miles + 3 miles = 6 miles
4/5% of 192?
show work please
Answer:
153.60
Step-by-step explanation:
This will help you and make me burillan
Find the value of MN if AB = 9 cm, BC = 7.2 cm, and LM = 12 cm.
ABCD - LMNO
Answer:
9.6 cm
Step-by-step explanation:
Since the shapes are similar, we can write a proportion. Let x be the length of MN.
9/12 = 7.2/x Write a proportion.
9x = 12(7.2) Use cross products.
9x = 86.4 Multiply.
x = 9.6 Divide both sides by 9.
Side MN is 9.6 cm.
Hey 675 m bike trails pass-through far is Meadow Aracely exhale the trail that cuts through Meadows flags meadow a measures 24 3/4m three legs measure 52.25 m on one leg measures 32 m the rest of the trail pass through forces how many meters of the trail pass through the forest
Answer:
436.75
Step-by-step explanation:
Answer:
436.75
Step-by-step explanation:
I need help please
Ronnie buys 2 pairs of shoes for $50. Write an equation relating the total cost y to the number of pairs of shies x
Solve the following system of equations using the elimination method. x – y = 11 2x + y = 19 Question 5 options: A) (–3,9) B) (10,–1) C) (–9,6) D) (–10,2)
Answer:
B.(10,-1)
Step-by-step explanation:
10-(-1)=11
2(10)+(-1)=19
20+(-1)=19
the sum of the measures of the angles of the interior angles of a triangle is 180. Write and solve an equation to find the value of the variable
Answer:
look on khan academy
Step-by-step explanation:
