Answer:
Here it goes -0.333
In kidney transplantations, compatibility between donor and receiver depends on such factors as blood type and antigens. Suppose that for a randomly selected donor from a large national kidney registry, there is a 10% chance that he or she is compatible with a specific receiver. A sample of size 5 donors are randomly selected from this registry. Find the probability that exactly 2 of the selected donors is compatible.
Answer:
The probability is [tex]P(X = 2)= 0.0729[/tex]
Step-by-step explanation:
From the question we are told that
The percentage that the donor is compactible is p = 0.10
The sample size is n = 5
Generally the probability that the donor is not compactible is
[tex]q = 1- p[/tex]
=> [tex]q = 1- 0.10 [/tex]
=> [tex]q = 0.90 [/tex]
Generally the probability that the exactly 2 of the selected donors is compatible mathematically represented as
[tex]P(X = 2)= \ ^{5}C_2 * p^2 * q^{5-2}[/tex]
Here C standards for combination
=> [tex]P(X = 2)= \ 10 * 0.10^2 * 0.90 ^{5-2}[/tex]
=> [tex]P(X = 2)= 0.0729[/tex]
5x - 10 = 4 + 6
Оа
10x - 20 = 10
Oь
5x - 10 = 10
Ос
X - 10 = 6
Od
3(5x - 10) = 30
5x = 0
5x = 20
Answer:
1.x=4
2.x=3
3.x=4
4.x=16
5.x=4
6.x=0
7.x=4
Answer:
1. x=4
2. x=3
3. x=4
4. x=16
5. x=4
6. x=0
7. x=3.9
Step-by-step explanation:
The endpoints of AB are A(–7, –6) and B(5, 6). What are the coordinates of point C on AB that is 1/3 the distance from point A to point B?
Answer:
C
Step-by-step explanation:
find the distance between the two points and divide that by 3 first,
then you estimate the point that is from point A with that 1/3 distance
The coordinate of point C such that point C on AB that is 1/3 the distance from point A to point B is (-3,-2) so option (C) will be correct.
What are coordinates?A pair of numbers is used to express a point's position on a coordinate plane using the horizontal and vertical distinctions from the two reference axes. usually represented by pairs of x-values and y-values (x,y).
Coordinate a point with intercept m: n and bounded by coordinate (x₁, y₁) and (x₂, y₂) is given by
x = [m(x₂) + n(x₁)]/(m + n)
y = [m(y₂) + n(y₁)]/(m + n)
Here m = 1/3 and n = (1-1/3) = 2/3
And coordinates A(–7, –6) and B(5, 6).
So,
x = [ 1/3(5) + 2/3(-7) ]/ 1
x = -3
And,
y = [ 1/3(6) + 2/3(-6) ]/ 1
y = -2
So (-3,-2) will be the coordinate of point C.
Hence "The coordinate of point C is (-3,-2).
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is ben dover someone's actual name
Answer: yes
Step-by-step explanation: it’s was some poor old mans name on the news XD
Axel runs 10 kilometers in 85 minutes. At the same rate, how many minutes would he take to run 8 kilometers?
Answer:
68
Step-by-step explanation:
85/10= 8.5 (sp he's running each km in 8.5 mins)
8.5x8= 68
A manufacturer of game controllers is concerned that their controller may be difficult for left handed users. They set out to find lefties to test. About 13% of the population is left handed. If they select a sample of five customers at random in their stores, what is the probability of each of the following outcomes?
a. The first lefty is the fifth person chosen
b. There are some lefties among the 5 people
c. The first lefty is the second or third person
d. There are exactly 3 lefties in the group
e. There are at least 3 lefties in the group
f. There are no more than 3 lefties in the group
Answer:
a)0.074
b)0.502
c)0.2114
d)0.0166
e)0.01790
f)0.9987
Step-by-step explanation:
Probability of being left handed = 0.13
Probability of being not left handed = 1-0.13 =0.87
They select a sample of five customers at random in their stores
a. The first lefty is the fifth person chosen
Probability that first lefty is the fifth person chosen =[tex]0.87 \times 0.87 \times 0.87 \times 0.87 \times 0.13=0.074[/tex]
b)There are some lefties among the 5 people=[tex]1-P(x=0)=1-0.87^5=0.502[/tex]
c)The first lefty is the second or third person=[tex]0.87 \times 0.13 + 0.87 \times 0.87 \times 0.13 =0.2114[/tex]
d)
[tex]P(x=3)=^5C_3 (0.13)^3 (0.87)^2=\frac{5!}{3!2!}(0.13)^3 (0.87)^2=0.0166[/tex]
e)
[tex]P(x\geq 3)=P(x=3)+P(x=4)+P(x=5)\\P(x\geq 3)=\frac{5!}{3!2!}(0.13)^3 (0.87)^2+\frac{5!}{4!1!}(0.13)^4(0.87)^1+\frac{5!}{5!0!}(0.13)^5 (0.87)^0=0.01790[/tex]
f)
[tex]P(x\leq 3)=P(x=0)+P(x=1)+P(x=2)+P(x=3)[/tex]
[tex]P(x\leq 3)=\frac{5!}{0!5!}(0.13)^0 (0.87)^5+\frac{5!}{4!1!}(0.13)^1(0.87)^4+\frac{5!}{2!3!}(0.13)^2 (0.87)^3+\frac{5!}{2!3!}(0.13)^3 (0.87)^2=0.9987[/tex]
Assume a recent sociological report states that university students drink 4.10 alcoholic drinks per week on average, with a standard deviation of 1.9101. Suppose Jason, a policy manager at a local university, decides to take a random sample of 125 university students to survey them about their drinking habits. Determine the mean and standard deviation of the sampling distribution of the sample mean alcohol consumption. Provide your answer with precision to two decimal places.
Answer:
4.10
0.17
Step-by-step explanation:
From the question, we know that
A recent sociological report stated that university students drink 4.10 alcoholic drinks per week on average, with a standard deviation of 1.9101.
Also, we're tasked with finding the mean and standard deviation of the sampling distribution of the sample mean alcohol consumption.
To find the mean of the sampling distribution, we take the sample mean of the same of that university students as a direct substitute. This then means that the mean of the sampling distribution of the sample mean alcohol consumption is 4.10 alcoholic drinks per week on average.
On the other hand, the standard deviation of the sampling distribution of the sample mean alcohol consumption is taken to be the division of the standard deviation of the sample mean. Mathematically, we have
Standard Deviation, S = 1.9101 / √125
Standard Deviation, S = 1.9101 / 11.18
Standard Deviation, S = 0.17
Therefore, the Standard Deviation is 0.17
Answer:
The values are
[tex]\mu_{\= x } = \mu = 4.10[/tex]
And
[tex]\sigma _{\= x} = 0.38202[/tex]
Step-by-step explanation:
The population mean is [tex]\mu = 4.10[/tex]
The standard deviation is [tex]\sigma = 1.9101[/tex]
The sample size is n = 125 students
Generally the mean of the sampling distribution of the sample mean is equivalent to the population mean
i.e [tex]\mu_{\= x } = \mu = 4.10[/tex]
Generally the standard deviation of the sampling distribution of the sample mean alcohol consumption is mathematically represented as
[tex]\sigma _{\= x} = \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]\sigma _{\= x} = \frac{1.9101 }{\sqrt{125} }[/tex]
=> [tex]\sigma _{\= x} = 0.38202[/tex]
help, fill in the bottom row, i’ll give you brainiest.
Answer:
3, 3, 3, 3
Step-by-step explanation:
they all equal three
Answer:
a=3 b=3 c=3 d=3
Step-by-step explanation:
6.785 3 rounded to the nearest thousand
Answer:
6.8
Step-by-step explanation:
Answer:6.7850 also it's thousandth :)
Step-by-step explanation:
Modeling Real-World Scenarios with Sine and Cosine Functions
The table below shows the illuminated percentage of the moon on a lunar cycle of 28 days. The relationship can be described using a cosine function.
Answer:
0 and 0
Step-by-step explanation:
it stays the same 7 to 17 is 7
14 to 21 is 7 etc...
The amplitude of the function is 48 units.
The period of the function is 28 units.
The graph has a vertical shift of 48 unit.
To determine the amplitude and period of the cosine function that describes the relationship between the day (d) and the illuminated percentage of the moon (%), we can analyze the given data:
d %
0 48
14 96
21 48
28 0
Amplitude:
The amplitude of a cosine function represents half the difference between the maximum and minimum values of the function.
So, (96 - 0) / 2
= 48 units.
Period:
The period of a cosine function is the length of one complete cycle.
Therefore, the period of the function is 28 units.
Vertical shift:
The vertical shift represents the displacement of the graph vertically.
The graph has a vertical shift of 48 unit.
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What is the slope of a line that is parallel to the line y = 2x + 4 ? *
Answer:
The slope should be 2 from the parallel line
Step-by-step explanation:
Hope this helps!
Hello! (:
Since parallel lines have the same slope, then the line has a slope of 2.
So, if the given line has a slope of 2, then the line parallel to it has a slope of 2 as well.
Hope it helps!
If you have any question or query, feel free to ask!
~An excited gal
[tex]SparklingFlower[/tex]
The oakville high school marching band band sold gift wrap to earn money for a band trip. Solid color gift wrap sells for $3.50 per roll.The band needs to earn $2500 for an upcoming competition. If the bad Sells 325 rolls of printed paper,write and solve a linear equation to find the number of solid paper they must sell
Simplify 3y – 5(y + 2)
Step-by-step explanation:
Hey there!
Given; 3y - 5(y+2).
Multiply 5 and (y+2)
3y - 5y - 10
Simplify to get answer.
-2y -10
Take 2 and (-) common.
-2(y+5)
Therefore, the simplified form is -2(y+5).
Hope it helps...
Answer:
Step-by-step explanation:
3y - 5 ( y + 2)
= 3y - 5y - 2
= -2y -2
Which expression is represented by the phrase “the square of y decreased by quotient of 36 and 6”?
Answer:
√y-6
Step-by-step explanation:
36/6=6
36 is the dividend, 6 is the divisor and 6 is the quotient.
Answer:y^2-6 step by step
Step-by-step explanation:
Which is the graph of y=x^2-4x+4?
Gamal spent $12.50 at the book store. The difference between the amount he spent at the video game store and the amount he spent at the book store was $17. The equation d minus 12.50 = 17 can be used to represent this situation, where d is the amount Gamal spent at the video game store. Which equation is an equivalent equation that can be used to find the amount Gamal spent at the video game store?
d = 17 minus 12.50
d = 17 + 12.50
d minus 12.50 = negative 17
d + 12.50 = 17
Answer:
choice 2
Step-by-step explanation:
d - 12.50 = 17
d > 17 > 12.50
d = 17 + 12.50
Answer:
d = 17 + 12.50
Give the dude brainliest, but only if he needs it. Wish you all well. :)
Consider the population of the city of Beaumont. Over the course of a year, 800 people move into town. Of those that moved in, 180 have dark hair, 260 have red hair, and the remaining 360 are blonde. During this year a total of 1070 people move out, 470 with dark hair, 270 redheads, and 330 blondes. There are 223 newborns, 47 with dark hair, 90 with red hair, and 86 blondes. Finally, there are 168 deaths, 31 with dark hair, 66 with red hair, and 71 with blond hair. (Assume no one goes bald or changes their hair color.) What is the accumulation of red-haired people in Beaumont, for this year
Answer:
There were 14 red-haired people accumulated in Beaumont, for this year.
Step-by-step explanation:
The number of people who moved into town is = 800Number of dark haired people = 180
Number of red haired people = 260
Number of blonde haired people = 360
The number of people who moved out of town is = 1070Number of dark haired people = 470
Number of red haired people = 270
Number of blonde haired people = 330
The number of newborns in town is = 800Number of dark haired = 47
Number of red haired = 90
Number of blonde haired = 86
The number of deaths in town is = 168Number of dark haired people = 31
Number of red haired people = 66
Number of blonde haired people = 71
Compute the accumulation of red-haired people in Beaumont, for this year as follows:
Red hair = #Moved in - #Moved out + #Newborn - #Deaths
= 260 - 270 + 90 - 66
= 14
Thus, there were 14 red-haired people accumulated in Beaumont, for this year.
Write the sum as the logarithm of a single expression. Assume that variables represent positive numbers.
log68+log6z
both 6 are exponents on the bottom.
please help.
Answer:
6z log 6Step-by-step explanation:
Use of property
log ab = log a + log blog a^b = b log aGivenlog 6^8 + log 6^zSolutionlog 6^8 + log 6^z =log (6^8*6^z) =log (6^6z) =6z log 6PLEASE ANSWER ASAP Michael read 14 books in 26 months. At the same rate, about how many books can he read in 48 months?
Answer:
Well, lets break this down.
If you try to add 26 + 26 it would be 52, which is above 48.
So, we have to find how many books he can read in one month.
All we have to do, is divide!
14 = dividend
26 = divisor
Step 1:
Start by setting it up with the divisor 26 on the left side and the dividend 14 on the right side like this:
26⟌14 Then do the rest, ill wait.
once you have a answer, that is how much he reads a month.
now multiply by 48.
X= 4y + 2
3x - 12y = 6
i will give 20 pts
plz halp-
Answer:
sorry
Step-by-step explanation:
Answer:
It's dez
Step-by-step explanation:
Ask me what's dez
NEED HELP ASAP!!
.What is the solution of the linear system?
–3x + 3y = 5
–x + y = 6
Question 16 options:
A)
No solution
B)
(–3,2)
C)
Infinitely many solutions
D)
(1,–6)
Answer:
It's C. Since both equations are parallel, that means that there is infinite solutions!
Answer:
No solution
Step-by-step explanation:
solve for the first variable then substitute the result in the other equation
The fourth graders and fifth graders at Valley Point Elementary are going on a field trip. There are 148 fourth graders and 96 fifth graders. There are also 18 teachers going. If 54 people can fit on one bus, how many buses are needed for all of the students and teachers?
Answer:
5
Step-by-step explanation:
Emma pays $108 every six weeks for tennis lessons. What is the price per year?
Answer:
The price per year would be $936.36
Step-by-step explanation:
there's a 52 weeks in a year, so divide it by 6 then multiply it by 108.
52/6= 8.67
8.67×108= $936.36
Convert the following from scientific notation to standard notation: 3.09X10^-2
Work out the value of X
Answer:
x = 39
Step-by-step explanation:
3x - 15 + 2x + 2x + 2x +24 = 360
9x = 360 + 15 - 24
9x = 351
x = 39
I need help ASAP PLEASE SOLVE
Answer:
the second one has the grater y nter...
Step-by-step explanation:
Which expressions of signed decimal numbers have negative quotients? Check all that apply.
1.4 ÷ 99.9
5.7 ÷ –2.2
–0.01 ÷ 0.05
–3 ÷ –0.009
0 ÷ –8.6
Answer:
im sorry im late but its b and c
Step-by-step explanation:
-8x + 40 greater than -16
Answer:
x > 7
Step-by-step explanation:
First, you start off with :
-8x + 40 > -16
Then you subtract 40 on both sides.
You get -8x > -56.
Next, you divide -8 on both sides. Cancel out the -8/-8.
After dividing, you have x > 7
Therefore the answer is x > 7!
If you have a question comment it.
Answer:x<7
Step-by-step explanation:
Calculate it on Google
What is the value of g(2)?
Answer:
2g
Step-by-step explanation: