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:
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Paleomagnetic studies of Canadian volcanic rock known as the Carmacks Group have recently been completed. The studies revealed that the northward displacement of the rock units has an approximately normal distribution with a standard deviation of 500 kilometers (Canadian Journal of Earth Sciences, Vol. 27, 1990). One group of researchers estimated the mean displacement at 1,200 kilometers, whereas a second group estimated the mean at 1,000 kilometers.
Required:
a. Assuming the mean is 1500 kilometers, what is the probability of a northward displacement of less than 500 kilometers?
b. Assuming the mean is 1200 kilometers, what is the probability of a northward displacement of less than 500 kilometers?
c. If, in fact, the northward displacement is less than 500 kilometers, which is the more plausible mean, 1200 or 1500 kilometers?
Answer:
a) 0.0228 = 2.28% probability of a northward displacement of less than 500 kilometers
b) 0.0808 = 8.08% probability of a northward displacement of less than 500 kilometers
c) 1200 kilometers, because in this case, the will be a higher probability of a northward displacement that is less than 500 kilometers.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal 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.
Standard deviation of 500 kilometers
This means that [tex]\sigma = 500[/tex]
a. Assuming the mean is 1500 kilometers, what is the probability of a northward displacement of less than 500 kilometers?
Mean of 1500 km means that [tex]\mu = 500[/tex]
The probability is the pvalue of Z when X = 500. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{500 - 1500}{500}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
0.0228 = 2.28% probability of a northward displacement of less than 500 kilometers.
b. Assuming the mean is 1200 kilometers, what is the probability of a northward displacement of less than 500 kilometers?
Now [tex]\mu = 1200[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{500 - 1200}{500}[/tex]
[tex]Z = -1.4[/tex]
[tex]Z = -1.4[/tex] has a pvalue of 0.0808
0.0808 = 8.08% probability of a northward displacement of less than 500 kilometers.
c. If, in fact, the northward displacement is less than 500 kilometers, which is the more plausible mean, 1200 or 1500 kilometers?
1200 kilometers, because in this case, the will be a higher probability of a northward displacement that is less than 500 kilometers.
How many solutions does the system of equations have?
a. no solution
b. one solution x=0, y=5
c. One solution x=1, y=4
d. Infinitely many solutions
Answer:
one solution at x=1,y=4 point
AccelGR7_Math_T6_FSQ_OL_FY21
Look at this system of linear equations.
S2x + 3y =-4
ly = 2x +4
What is the solution to the system of linear equations?
X = -2, y = 0
x= – 1, y = 2
x = 4, y = - 4
x = 2, y = 8
Answer:
x=-2 and y =0
Step-by-step explanation:
2x + 3y=-4
y=2x + 4
2x -y = -4
4y= 0
y = 0
2x -0=-4
2x =-4
x=-2
$200 in a savings account. The interest rate is 3%. Determine the exact amount of money that will be in the
account after the following amounts of time.
a) 2 months: b) 6 months:
c) 11 months: d) 1 year:
e) 2.5 years: f) 5 years:
Answer:
what
Step-by-step explanation:
All trapezoids have one right angle?
Answer:
a trapezoid can have either 2 right angles or no right angles at all
Step-by-step explanation:
What is the CONSTANT in the expression 3k + 12?
Answer: 12
Step-by-step explanation:
The constant of the expression is 12.
What is a constant?'A constant is a value or number that never changes in expression that is it's constantly the same.'
According to the given problem,
In the expression 3k + 12 , k is a variable. A variable is a quantity that may change with respect to the mathematical criteria.
If k = 1, the value of the expression is (3 × 1) + 12 = 15
k =2, the value is (3 × 2) + 12 = 18
But we can see that no matter the value of k is, the expression has to be added with 12.
Hence, we can conclude that since the value of 12 does not change irrespective of the changing values k, the constant of this expression is 12.
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#SPJ2
the difference of 4 , and 5 times h
Answer:
Step-by-step explanation:
4 - 5*h
The question is not totally clear. It could be the other way around.
5h - 4
Given the grammar, I'll stick with the first answer.
Help dudhfsdhdhdhhddh
Answer:
just multiply
76x475=36100 apples
11. find the value of x in the kite below.
E
(6x + 6)
F
Р
G
14.
Step-by-step explanation:
6x+6=90 (being a straight line)
6x=90-6
6x=84
x= 84/6
x=14.
Use the series below to answer the following questions.
What is the difference between change in quantity and change in quantity demanded?
A change in demand means that the entire demand curve shifts either left or right. A change in quantity demanded refers to a movement along the demand curve, which is caused only by a chance in price.
A CD player is advertised at a price of $1200. It could be bought cash or by hire purchase. The table below shows the terms of payment.
Solve for xy^m=yx^2 for m
Answer:
[tex]m = \frac{ln(xy)}{ln(y)} [/tex]
Step-by-step explanation:
divide both sides by x
simplify
apply exponent rules: mln(y)=ln(xy)
m=ln(xy)/ln(y)
A high school Band has a budget of $1500 this year. They plan to go to the State Competition which cost $450. How many Members of the band can attend if the uniforms have a cost of $25 each. let n represent the number of bandmates
Group of answer choices
Answers:
n > 60
n > 42
n < 42
n < 78
Answer:
n < 42
Step-by-step explanation:
450 + 25n < 1500 (Has to be less than 1500)
25n < 1500 - 450
25n < 1050
n < 42
Answer:
n < 42
450 + 25n < 1500
25n < 1500 - 450
25n < 1050
n < 42
Please help me ASAP
WILL MARK BRAINLY
3. When using the vertical method to multiply polynomials, your like terms must be lined up in what
rows
columns
descending order
ascending order
Answer:
column
Step-by-step explanation:
hope it will help you
Answer:
B. Columns
Step-by-step explanation:
The volume of a suitcase if 8,556 cubic inches. It is 32 inches long and 15.5 inches high. What is width of the suitcase?
Answer:
17.25
Step-by-step explanation:
8556 / 32 / 15.5 = 17.25
(PLEASE HELP)James tosses a coin 50 times. It lands on heads 23 times and on tails 27 times.
What is the relative frequency of the coin landing on heads in this experiment?
A 23%
B 46%
C 50%
D 54%
Answer:
b
Step-by-step explanation:
If Fx) = 8x, which of the following is the inverse of F(x)?
Answer
y=x/8
Step-by-step explanation:
f(x)=8x
f(x)=y
y=8x(interchange the values)
x=8y(divide by 8 both sides)
y=x/8
An online store sells specialty bags. They charge $8 for shipping and $21 per bag ordered.
Write an expression that can be used to find the cost in dollars for b bags including shipping.
Answer:
b=21x+8
Step-by-step explanation:
she sell bags 21 dollars for every bag(x) and they only add 8 dollars 1 time
a scatter plots allows us to investigate _____ between the ____ ____.
Answer:https://brainly.com/question/22661875?answering=true&answeringSource=feedPublic%2FhomePage%2F10
Step-by-step explanation:hope this helps
HELP ME NOW PLEASE!!!!!
The question says "State the coordinates of Point G after a rotation of 90 degrees clockwise followed by a dilation with scale factor 2." The coordinates are G(4.5, 3).
Answer:
Hiiiiiiiiiiiii Picture pls?
Step-by-step explanation:
:))
Put the equation y =x^2-8x + 12 into the form y(x-h)^2+k
Answer: y =
Answer:
y = (x - 4)² - 4
Step-by-step explanation:
y = x² - 8x + 12
y = ( x² - 2(4)x + 4² ) - 4² + 12
y = (x - 4)² - 4
Which statement best describes the point (2,-5)
A.5 units to the left and 2 units up from the origin
B. 5 units to the right and 2 units up from the origin
C. 2 units from the left and 5 units down from the origin
D. 2 units to the right and 5 units down from the origin
HELPPPPPP!!!!!!!
what is 47 ÷ 12 1/3 =
Answer: 47/363
(Decimal: 0.129477)
Help Please! I ain’t understanding this :’
Answer:
The first one because the width and the length make the box of ice cream look bigger.
Step-by-step explanation:
Suppose that Stephen is the quality control supervisor for a food distribution company. A shipment containing many thousands of apples has just arrived. Unknown to Stephen, 13% of the apples are damaged due to bruising, worms, or other defects. If Stephen samples 10 apples from the shipment, use the binomial distribution to estimate the probability that his sample will contain at least one damaged apple. Select the true statement.
A. Stephen can use a sample of size 10 to reliably determine if the truck load contains damaged apples.
B. Stephen could use a sample of size less than 10 to reliably determine if the truck load contains damaged apples.
C. Stephen could have used a normal approximation to determine this probability.
D. A sample of size 10 is too small to reliably determine if the truck load contains damaged apples.
E. Stephen should sample with replacement so that the probability is exactly binomial.
Answer:
D. A sample of size 10 is too small to reliably determine if the truck load contains damaged apples.
Step-by-step explanation:
We have probability of having damaged apple = 13%
= 13/100
= 0.13
Sample size n = 10
Using the binomial distribution
P(X=x) = nCx * P^x(1-P)^n-x
Probability sample will have at least one damaged apple
= P(X>=1) = 1-p(x<1)
= 1 - P(X=0)
= 1-(10C0 *P⁰(1-0.13)¹⁰
= 1 - 1(1-0.13)¹⁰
= 1 - 0.87¹⁰
= 1 - 0.2484
= 0.7516
The answer is option D. A sample of size 10 is too small to reliably determine if the truck load contains damaged apples.
A rectangular prism measures 8 inches in width, 12 inches in length, and 4 inches in height. What is the surface area of the prism? Enter your answer in the box.
Answer is in the file below
cutt.us/brainly
A=352in2
A=2(wl+hl+hw)=2·(8·12+4·12+4·8)=352in²
Determine whether the figure has line point and or rotational symmetry
Answer:
D) rotational and point
Step-by-step explanation:
D) rotational and point
I need a answer ASAP
Answer:
8
Step-by-step explanation:
y = (10x^2 + 3x^4)/ 2x^2
where x is not equal to 0
(20x + 12x)/4x
32x / 4x
= 8
URGENT PLEASE, I NEED THIS FOR A TEST RIGHT NOW- A jar one-fifth filled with water weighs 560g. The same jar four-fifth filled with water weighs 740g. What is the weight of the empty jar??
Answer:
493g.
Step-by-step explanation: