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
A city map is laid out on a coordinate grid with City Hall at the origin. Each unit on the grid represents a distance of one city block.
Max spends the day running errands and visiting the following locations before heading back to his apartment.
Location Coordinates
Post Office (–15, –4)
Library (–15, 16)
Police Station (–3, 16)
Bank (–3, 8)
Coffee Shop (4, 8)
Pet Store (4, –4)
Grocery Store (–8, –4)
Which of the following options has a distance of 12 city blocks? Select three that apply.
HURRY
Answer:its library to police station
Step-by-step explanation:
Can. Anyone help me please
Answer:
2. 8x=56
divide both sides of the equation by 8
8x divided by 8=56 divided by 8
any expression divided by itself equals 1
x=56 divided by 8
calculate the quotient
x=7
3. 918 divided by 3= 306
4. answer is 5/21
5&6 not sure
7. inches
8. not sure
Answer:
Q1. 4.5
Q2. 7
Q3. 306
Q4. 5/21
Q5. B. Cube
Q6. AEC and BED
Step-by-step explanation:
1. I found what 8*18 was, then I just divided that by 32 to find the missing value.
2. You want to reverse it and then solve so 56/8=7.
3. You can use a calculator for this 918/3=306
4. This you'd want to get the common denominators for each so just convert.
4/7*3/3=12/21
1/3*7/7=7*21
now just solve 12/21-7/21=5/21
5. Cube, there are 6 faces that are squares on it.
6. Acute angles are angles that are smaller than 90 degrees.
7. Feet, beds are long so feet are the best. Inches would be too little, miles are way too much, and gallons aren't even the right measuring unit.
8. So prime numbers are numbers that can only be divided by 1 and themselves so 1 is a prime number because if you divide 1 by 2 you get a fraction. So now we just want to find the prime numbers in this set.
1 is prime
2 is prime
3 is prime
4 is not prime; 4/2=2 whole number
5 is prime
this means that 4/5 numbers are prime, and 4/5=0.8 or 80%.
Hopefully, this helped you understand, feel free to lmk if you have any questions, and have a good day.
help plz ill give extra points
The midpoint between x and 27 is -3. Find x.
Answer:
-33
Step-by-step explanation:
27-(-3)=30
-3-30=-33
In ΔVWX, x = 9.1 inches, w = 5.4 inches and ∠W=161°. Find all possible values of ∠X, to the nearest 10th of a degree
Answer:
NO POSSIBLE TRIANGLES
Step-by-step explanation:
Answer:
no possible triangles
Step-by-step explanation:
Ayuda por favor urge
Answer:
x = 4
Step-by-step explanation:
x + x + 6 + 6 = x + 8 + 8
2x + 12 = x + 16
2x + 12 - 12 = x + 16 - 12
2x + 0 = x + 4
2x = x + 4
2x - x = x + 4 - x
2x - x = x - x + 4
x = 0x + 4
x = 0 + 4
x = 4
Chequando Respuesta :
x = 4
x + x + 6 + 6 = x + 8 + 8
(4) + (4) + 6 + 6 = (4) + 8 + 8
4 + 4 + 6 + 6 = 4 + 8 + 8
8 + 6 + 6 = 12 + 8
14 + 6 = 20
20 = 20
Ambos lados de la ecuacio'n son igual cuando x = 4, y esto confirma que la respuesta es corecta, que x = 4 en este problema.
Sally has a clock with a minute hand that extends to the clock's edge. The 10 points
minute hand is 5.25 inches long. What is the CIRCUMFERENCE of the
clock? *Hint* the minute hand is the radius. *
16.485 inches
32.97 inches
about 86.55 inches
None of the above
Answer:
no se ingles así que no se pero te doy gracias por los puntos
An ice cream shop sells two type of cones: cake cones for $1.75 and waffle cones for $3.25. on tuesday, they sold 50 more waffles cones than cake cones. The total money they collected on cone sales on tuesday was $1422.50. How many cake cone did they sell on tuesday? ( this is a matrix word problem)
solving a system of linear equations algebraically:
Question:
find the value of x in the solution to the system of equations shown. y=12x+7
y=-6x+25
answer choices:
x=1
x=1.78
x=3
x=5.33
It was so easy xD
its x=1
y=12×1+7
y=-6×1+25
=19
estimate and calculate 18686+17544?
Answer:
I think its gona be aroundddddddddddddddddddd 30,000
oh rats.. i was in that area tho ........36,230
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]
Which is greater 1.56 or 1.29
Answer:
1.56 is greater than 1.29. (Check after the decimal point, 5 is greater than 2, so 1.56 is greater than 1.29)
Answer:
I believe that 1.56 is grater than 1.29.
hope this helps.
Find the coordinates of the point (a, b).
a = ?
(0, 1)
0 1
2
(a, b)
O v2
O v2
2.
1(-1,0)
रा
45°
DONE
(1,0)
b= ?
1
O v2
O v2
2.
Зл
2
(0, -1)
9514 1404 393
Answer:
(a, b) = (√2/2, √2/2) . . . . . choice C in each case
Step-by-step explanation:
The points on a unit circle will not have coordinate values greater than 1 (eliminates √2). The coordinates will only be 0 or 1 if the point is on one of the axes. The coordinates (a, b) of the point at 45° are ...
(cos(45°), sin(45°)) = (a, b) = (√2/2, √2/2)
The coordinate of point (a, b) is (√2/2, √2/2)
Coordinate of a point on a circleNote that the points on a unit circle will not have coordinate values greater than 1.
The coordinates will only be 0 or 1 if the point is on one of the axes. The coordinates (a, b) of the point at 45° is given according to the coordinate point (cos45, sin45)
a = cos45 = √2/2
b = sin45 = √2/2
Hence the coordinate of point (a, b) is (√2/2, √2/2)
Learn more on unit circle here: https://brainly.com/question/23989157
Answer the question
Answer:
I think it's C
Step-by-step explanation:
Hope this helps you
Find the measure of 41.
s
839
41
41 = [?]
<1=97°
steps:
<1+83=180 co interior angle
<1=180-83=97°
Which expression represents the number 142000 in Scientific Notation ?
Answer: 1.42 x 10^5
Step-by-step explanation:
Scientific Notation usually express in the form of [tex]c* 10x^{n}[/tex], where c is between 1 and 9.
142000
= 1.42 x 10^5
I'll give points and brainalist for answer / explanation
Answer:
D. 28.26 in²
Step-by-step explanation:
Area of a circle= πr²
r= 3
π= 3.14
A= (3.14)(3)²
A= 28.26 in²
Suppose you are taking the bus home, and can take either Route 51 or Route 82. You know that the Route 82 will arrive at the bus stop in exactly 5 minutes, but because Route 51 is unreliable, you believe that the amount of time until it arrives is uniformly distributed between 0 and 20 minutes. You take the first bus that arrives. Let T be the number of minutes you wait until you board a bus. Find E[T].
Answer:
E[T] = 10
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution has two bounds, a and b, and the expected value of the uniform distribution is given by:
[tex]E = \frac{a+b}{2}[/tex]
Uniformly distributed between 0 and 20 minutes.
This means that [tex]a = 0, b = 20[/tex]
Let T be the number of minutes you wait until you board a bus. Find E[T].
This is
[tex]E[T] = \frac{a + b}{2} = \frac{0 + 20}{2} = 10[/tex]
E[T] = 10
I need help please.
Answer:
[tex] {120m}^{3} [/tex]
Remember to find the volume it is the
length x height x breadth
Abraham's soccer team won 2/3 of its games. The team won 14 games,
how many games did they play this season?
Answer: 21
Step-by-step explanation:
First, divide 14 by 2 which is 7. Then multiply 7 by 3 because it's 2/3 so that is 21. The answer is 21
Suppose that a random sample of 20 items is selected from the machine. If the machine produces 5% defectives, find the probability that the sample will contain at least three defectives, by using the following methods. (a) the normal approximation to the binomial (Round your answer to four decimal places.) (b) the exact binomial tables (Round your answer to three decimal places.)
Answer:
a) 0.0618 = 6.18% probability that the sample will contain at least three defectives.
b) 0.076 = 7.6% probability that the sample will contain at least three defectives
Step-by-step explanation:
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]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
Sample of 20 items is selected from the machine.
This means that [tex]n = 20[/tex]
5% defectives
This means that [tex]p = 0.05[/tex]
(a) the normal approximation to the binomial
The mean is:
[tex]\mu = E(X) = np = 20*0.05 = 1[/tex]
The standard deviation is:
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{20*0.05*0.95} = 0.9747[/tex]
The probability is, using continuity correction, [tex]P(X \geq 3 - 2.5) = P(X \geq 2.5)[/tex] , which is 1 subtracted by the pvalue of Z when X = 2.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.5 - 1}{0.9747}[/tex]
[tex]Z = 1.54[/tex]
[tex]Z = 1.54[/tex] has a pvalue of 0.9382
1 - 0.9382 = 0.0618
0.0618 = 6.18% probability that the sample will contain at least three defectives.
(b) the exact binomial tables
This is:
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.05)^{0}.(0.95)^{20} = 0.358[/tex]
[tex]P(X = 1) = C_{20,1}.(0.05)^{1}.(0.95)^{19} = 0.377[/tex]
[tex]P(X = 2) = C_{20,2}.(0.05)^{2}.(0.95)^{18} = 0.189[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.358 + 0.377 + 0.189 = 0.924[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.924 = 0.076[/tex]
0.076 = 7.6% probability that the sample will contain at least three defectives
A person locked or android phone with a swipe code on a phone with a 3 x 3 gridlock that’s considered an example where the swipe code must start with the top left button and must pass through two more buttons each executive button is adjacent up down left right or diagonal how many swipe codes are they possible
Answer 15,18
Answer:
15
Step-by-step explanation:
Answer:
It says 15 18 is correct
Step-by-step explanation:
WILL GIVE BRAINLIEST!!
How do u find perimeter and area of paralellogram. Also how to give brainliest.
Answer:
It can be shown that opposite sides of parallelogram must be congruent , that opposite angles are also congruent , and that consecutive angles are supplementary . ...
The perimeter of a parallelogram is the sum of the lengths of its four sides. ...
Therefore, the perimeter is 6+10+6+10 or 32 cm.
Step-by-step explanation:
Answer:
Perimeter is always the same, add the outer lengths of all the sides. A+B+A+B=T
Or
2(A+B)
Area is just B * H when you have the height available.
You can also use a trig function A = ab sin (x)
(10k0)(7k–1)(6k–4)
^ k to the 0 power
Answer:
1
Step-by-step explanation:
every single thing to the power of 0 is 1
Answer:
0
Step-by-step explanation:
Mac Cosmetic sells a lip gloss for $15.50, but it only costs the company $6 to make it what is the percentage markup on the lip gloss?
Answer:
158%
Step-by-step
$15.50 - $6 = $9.50 < Profit
Now To find The Percentage of the markup on the lip gloss?
You Divide $9.50 by $6 And You Will Get This 1.58333333333
For A Percent You Move The Decimal Point Back Two Spots And You Get
158%
I Hope You Understand and i hope i helped you
find the standard form of the equation of a parabola with a vertex at the origin and with a focus at (-4,0) and a directrix at x=4
Which of the following is an odd function? • ) 1x) = 3x2 + x Nx) = 4x +7 1x) = 5x + 9 1x)= Br + 2x
f(x)=x² g(x) = (x + 3)2 +5 We can think of g as a translated (shifted) version of f. Complete the description of the transformation. Use nonnegative numbers. To get the function g, shift f up/down by units and to by units. the right/left
Answer:
Me puedes informar mas?
The table shows a function. Is the function linear or non linear
Answer:
To see if a table of values represents a linear function, check to see if there's a constant rate of change. If there is, you're looking at a linear function!
Please tell me how and work!!!
Answer:
2) false, no
3) true, yes
4) false, no
5) true, yes