Answer:
0.784 = 78.4% probability that there will be at least one failed graft in the next three done
Step-by-step explanation:
To solve this question, we need to understand the binomial probability distribution and conditional probability.
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.
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: No failed grafts in the first seven
Event B: At least one fail in the next three.
Intersection of events A and B:
Since the probability of a graft failling is independent of other grafts, we have that:
[tex]P(A \cap B) = P(A)*P(B)[/tex]
So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)*P(B)}{P(A)} = P(B)[/tex]
So we just have to find the probability of one fail in three trials.
Three trials means that [tex]n = 3[/tex].
The probability is
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.4)^{0}.(0.6)^{3} = 0.216[/tex]
Then
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.216 = 0.784[/tex]
0.784 = 78.4% probability that there will be at least one failed graft in the next three done
What is the difference, in hours and minutes, between these times?
a)
13 40 and 17 15
hours
minutes
b)
11 25 and 14 10
hours
minutes
c)
2:50 am and 7:20 am
hours
minutes
d)
10:35 am and 2:40 pm
hours
minutes
Answer:
a) 3 hrs 35 mins
b) 2 hrs 45 mins
c) 4 hrs 30 mins
d) 4 hrs 5 mins
Step-by-step explanation:
The difference, in hours and minutes, between these times are;
a) 3 hrs 35 mins
b) 2 hrs 45 mins
c) 4 hrs 30 mins
d) 4 hrs 5 mins
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The difference, in hours and minutes, between these times can be calculated as;
a) 13 40 and 17 15
13 :40 - 17 : 15
= 3 hrs 35 mins
b) 11 :25 and 14: 10
11 :25 - 14: 10
= 2 hrs 45 mins
c) 2:50 am and 7:20 am
2:50 am - 7:20 am
= 4 hrs 30 mins
d) 10:35 am and 2:40 pm
10:35 am - 2:40 pm
= 4 hrs 5 mins
More about the Algebra link is given below.
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Firemen are using a 60-foot ladder to reach
the top of a 45-foot building.
B
60 ft
45 ft
a. Calculate the distance from the bottom
of the ladder to the base of the building.
Round your answer to the nearest tenth.
b. Use the cosine ratio to compute the
measure of the angle formed where the
ladder touches the top of the building.
Round your answer to the nearest tenth.
Answer:
This might help a liitle its kind of like the question you are asking.You might not want to give people 5 points for a long question because most of them might not awnser.Step-by-step explanation:
Mr. Ryan had 8 meters of cable. He used 300 centimeters to hook up the television in his living room. Then he used 400 centimeters to hook up the television in his office. How many meters of cable did Mr. Ryan have left?
Answer:
1 meter left
Step-by-step explanation:
100 cm makes up a meter so 300 + 400 is 700 which is 7 meters so he has 1 meter left
Answer:
Mr. Ryan has 1 meter or 100 centimeters ethier (answer is correct)
Step-by-step explanation:
How many meters of cable did Mr. Ryan have left?
Let's start here with that for every meter(m) there is 100 centimeters(cm) so in other words 1 meter = 100 centimeters
300 cm=3 m 400 cm=4 m
3m+4m=7m 300cm+400cm=700cm
__________________________________________________________800cm-700cm=100cm
8m-7m=1m
why would it be advantageous to borrow oneself into the sun if you live in an internal zone
Answer:
So you would not be carried away by the tides
Step-by-step explanation:
hope this is what u want
which graph represents the function f(x)=|x|-4?
James got an 80 on a math test. By taking a retest in MLC, he increased his score by 15%. What
was his new score ?
Show work please
Answer:
Step-by-step explanation:
80x(1+0.15)=80x1.15
=92
Madeline drew 24 hearts, 20 stars, and 37 circles. What is the ratio of stars to hearts?
Answer:
20:24
Step-by-step explanation:
20 stars
colon is to
24 hearts
need it quick 13 points
Answer:
4 And -4 i think it depends
Step-by-step explanation:
is the slope of a line that passes through the points (-3, 2) and (-6,5)?
Answer:
slope is -1
Step-by-step explanation:
La escalera de un carro de bomberos
puede extenderse hasta una longitud
máxima de 30 m cuando se levanta a un
ángulo máximo de 70°; la base de la
escalera se coloca en el camión a 2 m,
sobre el suelo.
¿Qué altura podrá alcanzar la escalera?
Answer:
sorry I cant understand--
Help me please. Find AC
Step-by-step explanation:
Since every triangle adds up to 180 degrees the unknown side would be 53!++
Hi mate....
Step-by-step explanation:
This is your answer....
Triangle Fixed Value = 180°
AC = 180 - (30 + 87)
= 180 - 117
= 63°
Checking your answer....
= 117 + 63
= 180°
Hope it helps you....
Mark me as the brainliest.....
FOLLOW ME!
You work in a grocery store. How many 1/3 pound bags of coffee can you package from a 15 pound box of loose coffee?
Answer:
45
Step-by-step explanation:
Since each bag is 1/3 of a pound. That means there are 3 bags that make 1 pound. Therefore 15x3 is 45, so you could make 45 bags of coffee
ANSWER PLSSSSSSSSSS
Angles B and C are supplementary. If m∠B = 2x - 40 and m∠C =2x + 20, how would you determine the measure of each angle?
Answer:
B=60 C=120
Step-by-step explanation:
Supplementary angles add up to 180.
so
2x-40+2×+20=180
4×-20=180
4×=200
×=50
B 2(50)-40=100-40=60
C 2(50)+20=100+20=120
1. The sizes of parts sold during one business day in a
department store are 36, 38, 34, 92, 36, 34, 40, 44, 32, 34 . Find the average size of the pants sold.
Here goes the answer. Hope it helps you.
PLS SIMPLIFY THIS ANSWER I NEED HELP!
-2 1/4 x + 3 7/12x -4 2/3
Answer:
The answer is −13 /6 x−14.
Last year, Anna paid $4,812 for a co-op maintenance fee. One-third of the
covered her property taxes. How much property tax did Anna pay last year? *
$1,640
$1,604
$1,598
$1,728
Square PQRS has vertices P(-3,0), Q(0,4), R(4,1), and S(1,-3). Determine the area of the square.
Answer:
Step-by-step explanation:
length of PQ = √[(0-(-3))²+(4-0)²] = 5
area of square = 5² = 25 units²
Answer:
Step-by-step explanation:
all of them are congruent
Find the area of an equilateral triangle with a perimeter of 24in.
Answer:
Step-by-step explanation:
[tex]p=24,\ b=\frac{p}{3}=8\\ \\ h=\sqrt{64-16},\ h=\sqrt{48}\\ \\ A=\frac{bh}{2}\\ \\ A=4\sqrt{48}in^2\\ \\ A=16\sqrt{3}in^2\\ \\ A\approx 27.7in^2[/tex]
Changed 19/4 into a mixed number (fraction).
Answer:
Step-by-step explanation:
Did you mean: Change 19/4 into a mixed number (fraction).
How do you turn 19/4 into a mixed number?
As an improper fraction. (numerator larger than denominator): 19/4 = 19/4
As a mixed number (mixed fraction) (a whole number and a proper fraction, of the same sign): 19/4 = 4 3/4
As a decimal number: 19/4 = 4.75.
As a percentage: 19/4 = 475%
4 and 3/4
16/4 equals 4; then 19/4-16/4 = 3/4, so that's left over.
You buy 3 dinners that are $6.85 each. Before tax and tip, the total is $25.42. Is this total correct? Explain
Answer:
no
Step-by-step explanation:
the total would be $19.55 before tax and tip
Plz help asap its due in 40 mins
Answer:
b
Step-by-step explanation:
yes its right
Answer:
1) x=11
2)x=9
3)pr=21
4)fe=68
Write 1/200 as a percent.
Answer:
0.5%
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{In order for you to convert fractions into percentages you have DIVIDE}\\\large\text{the NUMERATOR from DENOMINATOR, whatever its outcome is}\\\large\text{MULTIPLY it by 100}[/tex]
[tex]\mathsf{\dfrac{1}{100}=1\div100\rightarrow \bf{0.005}}\\\\\\\mathsf{0.005\times 100 = 0.5\%}\\\\\\\boxed{\boxed{\large\text{Answer: \bf{0.5\%}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What is the equivalent of 2/6
Answer:
1/3 3/9. 4/12
Step-by-step explanation:
Answer : 1/3
Explanation : you can divide 2•2=1 and 6•2=3
The pairs of numbers below represent the price of different
quantities of books at 4 stores.
Which pair of numbers represents a proportional relationship?
o 4 books for $24,8 books for $40
o 5 books for $25, 6 books for $36
o 2 books for $14, 5 books for $35
o 3 books for $15, 7 books for $28
Answer:
Option C: 2 books for $14, 5 books for $35
Step-by-step explanation:
A proportional relationship between two quantities would always have a constant of proportionality. Thus,
Constant of proportionality, k = y/x
In this case,
x = quantity of books
y = price
Let's see which pair will have a constant of proportionality:
Option A: 4 books for $24,8 books for $40
24/4 = 6;
40/8 = 5.
No constant of proportionality.
Option B: 5 books for $25, 6 books for $36
25/5 = 5
36/6 = 6
No constant of proportionality.
Option C: 2 books for $14, 5 books for $35
14/2 = 7
35/5 = 7
Constant of proportionality, k = 7.
This pair represents a proportional relationship.
Option D: 3 books for $15, 7 books for $28
15/3 = 5
28/7 = 4
No constant of proportionality.
Mr. Robles has two kinds of fruit in his basket. The ratio of
apples to oranges in the basket is 3:4.
If there are 9 apples, how many pieces of fruit are in his basket?
A. 21
B. 8
C. 38
D. 12
A. 21
I just took my exam and got it right.
Kayla works as a hairdresser. She earned $228.50 in tips in five days. If she earned the same amount each day, about how much did
Kayla earn per day? Explain your answer.
Answer: $45.70 per day
Step-by-step explanation:
$228.50/5=$45.70 per day
The photo of the question is there.
Starting with the fact that angles 1 and a are a linear pair and that angles b and 2 are also a linear pair, use a two column proof to prove that consecutive interior angles a and bare supplementary ( 5 points)
Answer:
See proof below
Step-by-step explanation:
Two angles that are linear pair sums up to 180°
If angles 1 and a are a linear pair and that angles b and 2 are also a linear pair, then;
1+a = 180....1
2+b= 180....2
Taking the sum of both equations
1+2+a+b = 360°... 3
Note that the sum of the adjacent angles will also be 180° since they also lie on the same straight line, hence;
1+2 = 180°...4.
Substitute 4 into 3
From 3;
1+2+a+b = 360°
(1+2)+(a+b) = 360°
180+(a+b) = 360
a+b = 360-180
a+b = 180
Since the sum of a and b is 180°, this shows that angles are supplementary since the sum of 2 supplementary angles is also 180°
Hence this shows that the consecutive interior angles a and bare supplementary.
Answer:
180-35=145 Degrees
Step-by-step explanation:
TBH I may not have a complete understanding; but what I do know is a straight line (or angel if you so chose) is equal to 180 degrees (NOTE: supplementary- angels are when 2 angels that are added up to 180 degrees) and on my part of the question is: "Starting with the fact that angles 1 and a are a linear pair and that angles b and 2 are also a linear pair, use a two column proof that consecutive interior angles a and b are supplementary".
Now in my whole complete course its asking a bout a ski slope and it gives me the 35 degree angle and we need to figure out the missing angle, we have the same picture as listed above.... knowing that straight lines are 180 degrees I subtracted 180-35 and I got 145 degrees now either i'm right or i'm missing som I did in a few years back but most of my information is basically backed up by some understanding I do know
The composite figure is made up of three simpler shapes. What is the area of the figure?
Please explain how you got your answer, please.
Answer:
C) 55 cm^2
Step-by-step explanation:
(12x3)+(8x2)+(1/2)(3)(2) = 55
The area of composite figure is 55 square cm .
What is area?
The space occupied by a flat shape or the surface of an object is called area.
Formula for the area of triangle[tex]A = \frac{1}{2}bh[/tex]
Where,
A is the area of triangle
b is the base of the triangle
h is the height of the triangle
Formula for the area of parallelogramA = b × h
Where,
A is the area of parallelogram
b is the base of parallelogram
h is the height of the parallelogram
Formula for the area of rectangleA = length × breadth
According to the given figure
Composite figure is made up of triangle, rectangle and parallelogram
Also,
Height of triangle = 3cm
Base of the triangle = 2cm
length of the rectangle = 8cm
breadth of the rectangle = 2cm
Height of the parallelogram = 3cm
Base of the parallelogram = 12cm
Therefore,
Area of triangle = 1/2 × 3 ×2 = 3 square cm
Area of rectangle = 2 × 8 = 16 square cm
Area of parallelogram = 12 × 3 = 36 square cm
Therefore,
Area of the composite figure = area of triangle + area of parallelogram + area of rectangle
⇒ Area of composite figure = 36 + 16 + 13 = 55 square cm.
Hence, the area of composite figure is 55 square cm .
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100 Multiplicaciones que me den 100
Answer:
10 por 10
5 por 20
50 por 2
1 por 100
25 por 4
Step-by-step explanation: