Answer:
15
Step-by-step explanation:
There are 4 blood types, and not all are equally likely to be in blood banks. 49% of donations are type O blood, 27% of donations are type A blood, 20% of donations are type B blood, and 4% of donations are type AB blood. A person with type A blood can safely receive blood transfusions of type O and type A blood. If three donations are made, what is the probability that at least 1 of them can be safely used in a blood transfusion on someone with type A blood? 0.0138 0.4390 0.5610 0.9862
Answer:
0.9862.
Step-by-step explanation:
For each donation, there are only two possible outcomes. Either it can be safely used in a blood transfusion on someone with type A blood, or it cannot. The probability of a donation being safely used is independent of other donations, which 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.
Type A blood:
Can receive from type O(49%) and from type A(27%), which means that:
[tex]p = 0.49 + 0.27 = 0.76[/tex]
If three donations are made, what is the probability that at least 1 of them can be safely used in a blood transfusion on someone with type A blood?
Three donations mean that [tex]n = 3[/tex]
This 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}.(0.76)^{0}.(0.24)^{3} = 0.0138[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0138 = 0.9862[/tex]
The answer is 0.9862.
The probability that at least 1 of them can be safely used in a blood is 0.9862.
Since, A person with type A blood can safely receive blood transfusions of type O and type A blood.
Given that,
49% of donations are type O blood
27% of donations are type A blood
So, [tex]p=0.49+0.27=0.76[/tex] and [tex]q=1-0.76=0.24[/tex]
Where p represent probability of success and q represent probability of unsuccessful.
Now use Binomial distribution,
[tex]P(X=r)=n_{C}_rp^{r} q^{n-r}[/tex]
Here three donations, it means that, n = 3
We have to find that the probability that at least 1 of them can be safely used in a blood.
So, [tex]P(X\geq 1)=1-P(X=0)[/tex]
[tex]P(X=0)=3_{C}_0(0.76)^{0} (0.24)^{3}=0.0138[/tex]
[tex]P(X\geq 1)=1-0.0138=0.9862[/tex]
Thus, The probability that at least 1 of them can be safely used in a blood is 0.9862.
Learn more about Binomial distribution here:
https://brainly.com/question/11388449
cuantos kilogramos
equivale la fracciom 11/25
Answer:
En español:
11/25 = 0.44
0.9702 porque multiplica por 2.205.
In English:
11/25 = 0.44
0.9702 because you multiply by 2.205.
The coordinate point F(-8, 0) after a dilation with scale factor of 0.25, centered at the origin, becomes the point
O (-2,0)
O (-2, 0.25)
O (2, 0.25)
O (2,0)
Answer:
[tex](-2,\, 0)[/tex].
Step-by-step explanation:
Dilate a point [tex](x,\, y)[/tex] by a scale factor of [tex]r[/tex] with [tex](a,\, b)[/tex] as the center, and the resultant point would be at [tex](a + r\, (x - a),\, b + r\, (y - a))[/tex].
In this question:
Point to dilate: [tex](x,\, y) = (-8,\, 0)[/tex].
Scale factor: [tex]r = 0.25[/tex].
Center of dilation: [tex](a,\, b) = (0,\, 0)[/tex].
The resultant point would be:
[tex](0 + 0.25\, (-8 - 0),\, 0 + 0.25\, (0 - 0))[/tex], which simplifies to [tex](-2,\, 0)[/tex].
does 12, 24, 36 form a right triangle
Explanation is in the file
tinyurl.com/wpazsebu
If abc+1=0, prove that: (1/1−a−b^-1)+(1/1−b−c^-1)+(1/1−c−a^−1)=1
Answer:
Hope it will help. I did it.
Hope the image is clear.
Answer:
2
Step-by-step explanation:
A computer user has downloaded 19 songs using an online file-sharing program and wants to create a CD-R
with 9 songs to use in his portable CD player. If the order that the songs are placed on the CD-R is not
important to him, how many different CD-Rs could he make from the 19 songs available to him?
There are
possible CD-R's.
Answer:
That would be 19! / 10!, which is 33522128640
If to create a CD 9 songs are needed and user have 19 songs then he can create 33522128640 such CD's if solving through permutations.
What is permutations?It is basically an arrangement of objects in a certain order.It is expressed as n[tex]P_{r}[/tex] and it is equal to n!/(n-r)!.
How to calculate ways?We have been given that user have 19 songs and 1 CD is made from 9 songs so the number of CD's which can be made is basically the number of ways these 9 songs are arranged from 19 songs in CD's. So, the number of CD's will be 19[tex]P_{9}[/tex]=19!/(19-9)!
=19!/10!
=19*18*17*16*15*14*13*12*11*10!/10!
=19*18*17*16*15*14*13*12*11
=335322128640 CD's
Hence 335322128640 CD's can be made from 19 songs by the user.
Learn more about permutations at https://brainly.com/question/1216161
#SPJ2
Allison Amy decide to meet from a party for my corner of the party hall any spots Alice at the corner of the hall diagonally opposite of her if the party hall is a rectangle that measures 100 feet by 60 feet what is the shortest distance they may have to walk to reach Alice round your answer to the nearest Foot
Answer:
Given that the hall is rectangular in shape, then the shortest path that Amy must travel to reach Alice would be through the hall's diagonal. Applying the Pythagorean theorem, with the length and width as the legs and the diagonal as the hypotenuse of the right triangle. Thus, diagonal = √ ( 100² + 60²) = √13 600 ≈ 116.62 ft The shortest distance, rounded off to the nearest foot, is 117 ft.
Step-by-step explanation:
its already an explanation...
Please help me with this
Wilbur landed his plane.
The plane's elevation relative to the ground (in meters) as a function of time (in seconds) is graphed.
A. 6 meters per second
B. 5 meters per second
C. 7 meters per second
D. 4 meters per second
Acellus
A
-3
-2.
-1
B
The distance AB rounded to the
nearest tenth = [?].
Hint: d= V(x2 – x1)2 + (y2 - y1)2
Enter
haha help plz
Answer:
[tex]AB = 3.6[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Distance AB
From the graph:
[tex]A = (-2,1)[/tex]
[tex]B = (1,-1)[/tex]
The distance is:
[tex]AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]AB = \sqrt{(-2 -1)^2 + (1- -1)^2}[/tex]
[tex]AB = \sqrt{(-2 -1)^2 + (1+1)^2}[/tex]
[tex]AB = \sqrt{13}[/tex]
[tex]AB = 3.6[/tex]
This is just a question what anime do ya'll watch I watch Dragonball Z and
My Hero Academia
Answer:
Kakegurui- demon slayer-
Princess Mononoke is a good movie and the last Airbender is pretty good
UHHHH OH- black butlers okie also a whisker away is cute (MOST ON NETFLIX)
Answer:
I watch Death Note, Black Butler, Demon Slayer, My Hero Academia, Dragonball Z, Naruto, Naruto: Shippuden, Black Clover, Assassination Classroom, OHSHC, School Babysitters (Gakuen Babysitters), High School of the Dead, and more that I forgot the name of!
Step-by-step explanation:
REVIEW SECTION
7. Which of the following statements is not true if A JKL = A MNO?
A. Z) = 2M
C. ZN= 2K
B. ZL220
D. LLUN
i think its ZN=2K
im not sure so please recheck it with someone else
You should stay real close to Jesus
Keep that bottle at your hand, my man
Find your way back to my bed again
Sing me like a Bible hymn
We should go back to Arkansas
Trade this body for the can of Gin
Like a little piece of heaven
No more candle in the wind
[Verse 1]
You should come back to our place, baby
Don't be afraid of our love
On the second floor, darling
In a second flat, hurry up
'Cause down in Arkansas the stores are all closed
The kids in their hoodies, they dance super slow
We're white-hot forever and only God knows
[Chorus]
You should stay real close to Jesus
Keep that bottle at your hand, my man
Find your way back to my bed again
Sing me like a Bible hymn
We should go back to Arkansas
Trade this body for the can of Gin
Like a little piece of heaven
No more candle in the wind
[Post-Chorus]
We'll be white-hot forever
White-hot forever
White-hot forever
And ever and ever, amen
[Verse 2]
Could I come back to the ranch, baby?
I had to get away for a while
Just to rest my nerves, darling
Can I make you laugh with a smile?
You knew when you chose me
I was nothing but ordinary
And now the wind's blowing, reminding you of what you know
[Chorus]
You should stay real close to Jesus
Keep that bottle at your hand, my man
Find your way back to my bed again
Sing me like a Bible hymn
We should go back to Arkansas
Trade this body for that can of Gin
Like a little piece of heaven
No more candle in the wind
[Post-Chorus]
We'll be white-hot forever
White-hot forever
White-hot forever
And ever and ever, the end
White-hot forever
White-hot forever
White-hot forever
And ever and ever, amen
[Outro]
You should stay real close to Jesus
If you don't pray, you'll never learn
Keep that bottle at your hand, my man
You know what I'm sayin'?
Find your way back to my bed again
Sing me like a Bible hymn
We should go back to Arkansas
I like living here
Trade this body for the can of Gin
Like a little piece of heaven
No more candle in the wind
Answer:
AMEN
Step-by-step explanation:
.
it a tets please help it due today
help plssssssssssssssssssss
Answer:
The area is 28 square inches.
Step-by-step explanation:
You need to use the Pyhtagorean Theorem for this one, to find the height.
3^2 + h^2 = 5^2
9 + h^2 = 25
h^2 = 25 - 9
h^2 = 16
h = 4
The Pythagorean Theorem is basically A squared + B squared is C squared, With C always being the hypotenuse, or longest side. A and B are the base and height. You can use either A or B for either base or height, but you must use C for the hypotenuse.
Brainliest would be appreciated :)
You have 2 spreads, 5 meats, and 2 kinds of bread. How many different sandwiches can you make using one of each type of ingredient?
A) 9
B) 12
C) 20
D) 40
Answer:
C)
Step-by-step explanation:
Exercise 10.4.1: Bayes' Theorem - detecting a biased coin. About (a) Sally has two coins. The first coin is a fair coin and the second coin is biased. The biased coin comes up heads with probability .75 and tails with probability .25. She selects a coin at random and flips the coin ten times. The results of the coin flips are mutually independent. The result of the 10 flips is: T,T,H,T,H,T,T,T,H,T. What is the probability that she selected the biased coin
Answer:
0.026
Step-by-step explanation:
Given the result of 10 coin flips :
T,T,H,T,H,T,T,T,H,T
Number of Heads, H = 3
Number of tails, T = 7
Let :
B = biased coin
B' = non-biased coin
E = event
Probability that it is the biased coin:
P(E Given biased coin) / P(E Given biased coin) * P(E Given non-biased coin) * P(non-biased coin)
P(E|B)P(B) / (P(E|B)*P(B) + P(E|B')P(B')
([(0.75^3) * (0.25^7)] * 0.5) /([(0.75^3) * (0.25^7)] * 0.5) + (0.5^10) * 0.5
0.0000128746 / 0.00050115585
= 0.0263671875
Which inequality is represented by this graph?
Answer:
number 1
Step-by-step explanation:
Write an equation and find the missing angle.
Help please I will give 50 points
[tex]7(6 + y)[/tex]
[tex](y \times 6) + (y \times 7)[/tex]
[tex]6(y + 7)[/tex]
[tex](y \times 6) {y}^{2} [/tex]
I will mark you brainalist
Answer:
1.25 since all prices are sam e
Step-by-step explanation:
Fred climbed to the top of a cliff 35 feet above sea level. he then dove into the ocean, traveling a total of 42 feet from the top of the cliff. What is Fred's location after the dive?
Answer:
i really dont know sorry lil buddy
Step-by-step explanation
What is the image of (0,12)(0,12) after a dilation by a scale factor of \frac{1}{3} 3 1 centered at the origin?
Answer:
(1,36)(1,36)
Step-by-step explanation:
Please solve this :) Have a nice day
Answer:
7
Step-by-step explanation:
first you get the area of the square which is 4 then you get the area of the triangle which would be 3 because 2x3=6 then divide by 2 because its a triangle and add the areas of both and its 7
hope this helps ^_^
2x+y=5 y=x−1 system of equations please show your work
sub y = x - 1 into equation 1
2x + x - 1 = 5
3x = 6
x = 2
sub x = 2 into equation 2
y = 2 - 1
y = 1
what is x in 5x - ((2x-1)÷2) = 5
Answer:
5x - ((2x-1)÷2) = 5-----(1)
(1) multiply by 2;
2 *(5x - ((2x-1)÷2) = 5)
10x - (2x-1) = 10
10x - 2x + 1 = 10
8x + 1 =10
8x = 10-1
x=9 /8
Step-by-step explanation:
Answer:
x = 9/8
Step-by-step explanation:
5x - ((2x - 1) ÷ 2) = 5
2 × (5x - ((2x - 1) ÷ 2) = 5
10x - (2x-1) = 10
10x - 2x + 1 = 10
8x + 1 = 10
8x + 1 - 1 = 10 - 1
8x = 10 - 1
8x = 9
8x ÷ 8 = 9 ÷ 8
x = 9 ÷ 8
x = 9/8 or 1 and 1/8
help plz ill give extra points
60 divided by 4 - 3^2 + 2 (5)
Answer:
16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
First Step: Solve the exponent 3^2=9
Then, you get 60 divided by 4-9+2(5)
Then, you do Multiplication and Division from left to right, so 60/4=15, 2(5)=10
Then, you get 15-9+10
Then, you do addition and subtraction from left to right.
15-9=6, then 6+10=16
PLEASE ANSWER ASAP FOR BRAINLEST SUPER EASY QUESTION!!!!!!!!!!!!!!!!!!!!
what are 3 mathematical facts you can find in a rectangular prism?
For example,
1. You can find the surface area of the rectangular prism.
2. You can find the volume of a rectangular prism.
3. ???????????????????????????????????????????
Answer:
you can find the height of a rectangular prism
Solve the following system of equations using the elimination method. 2x+4y=10;-2+y=-15
Answer:
x=7, y=-1. (7, -1).
Step-by-step explanation:
2x+4y=10
-2x+y=-15
-----------------
5y=-5
y=-5/5
y=-1
2x+4(-1)=10
2x-4=10
2x=10+4
2x=14
x=14/2
x=7
Plz help ASAP WILL MARK U BRAINIEST