Answer:
(a) [tex]P(Two\ Positive) = 0.2775[/tex]
(b) It is not too low
Step-by-step explanation:
Given
[tex]P(Single\ Positive) = 0.15[/tex]
[tex]n = 2[/tex]
Solving (a):
[tex]P(Two\ Positive)[/tex]
First, calculate the probability of single negative
[tex]P(Single\ Negative) =1 - P(Single\ Positive)[/tex] --- complement rule
[tex]P(Single\ Negative) =1 - 0.15[/tex]
[tex]P(Single\ Negative) =0.85[/tex]
The probability that two combined tests are negative is:
[tex]P(Two\ Negative) = P(Single\ Negative) *P(Single\ Negative)[/tex]
[tex]P(Two\ Negative) = 0.85 * 0.85[/tex]
[tex]P(Two\ Negative) = 0.7225[/tex]
Using the complement rule, we have:
[tex]P(Two\ Positive) = 1 - P(Two\ Negative)[/tex]
So, we have:
[tex]P(Two\ Positive) = 1 - 0.7225[/tex]
[tex]P(Two\ Positive) = 0.2775[/tex]
Solving (b): Is (a) low enough?
Generally, when a probability is less than or equal to 0.05; such probabilities are extremely not likely to occur
By comparison:
[tex]0.2775 > 0.05[/tex]
Hence, it is not too low
Assume that when blood donors are randomly selected, 45% of them have blood that is Group O (based on data from the Greater New York Blood Program).
1. If the number of blood donors is n = 16 equation, find the probability that the number with Group O blood is equation x = 6.
2. If the number of blood donors is n = 8, find the probability that the number with group O is x = 3.
3. if the number of blood donors is n = 20, find the probability that the number with group O blood is x = 16.
4. if the number of blood donors is n = 11, find the probability that the number with group O blood is x = 9.
Answer:
1. 0.1684 = 16.84%.
2. 0.2568 = 25.68%
3. 0.0013 = 0.13%
4. 0.0126 = 1.26%.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they have blood that is Group O, or they do not. The probability of a person having blood that is Group O is independent of any other person, which means that the binomial probability distribution is used 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.
45% of them have blood that is Group O
This means that [tex]p = 0.45[/tex]
Question 1:
This is P(X = 6) when n = 16. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{16,6}.(0.45)^{6}.(0.55)^{10} = 0.1684[/tex]
So 0.1684 = 16.84%.
Question 2:
This is P(X = 3) when n = 8. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{8,3}.(0.45)^{3}.(0.55)^{5} = 0.2568[/tex]
So 0.2568 = 25.68%.
Question 3:
This is P(X = 16) when n = 20. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 16) = C_{20,16}.(0.45)^{16}.(0.55)^{4} = 0.0013[/tex]
So 0.0013 = 0.13%.
Question 4:
This is P(X = 9) when n = 11. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 9) = C_{11,9}.(0.45)^{9}.(0.55)^{2} = 0.0126[/tex]
So 0.0126 = 1.26%.
A line passes through the point (-9, 4) and has a slope of 2/3.
Write an equation in slope-intercept for this line.
Answer:
y=(2/3)x+10
Hope it helps!
My graph isn't really clear
The slope-intercept of the line that passes through the point (-9, 4) and has a slope of 2/3 will be y = (2/3)x + 10.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
A line is given as y = mx + c
Here m is the slope,
Put m = 2/3 and (-9, 4)
4 = (2/3)(-9) + c
c = 10
Thus equation will be y = (2/3)x + 10.
Hence "Y = (2/3)x + 10 is the slope-intercept of the line passing through the point (-9, 4), which has a slope of 2/3".
For more about the linear function,
brainly.com/question/21107621
#SPJ2
In a computer instant messaging survey, respondents were asked to choose the most fun way to flirt, and it found that P(D)=0.740, where D is directly in person. If someone is randomly selected, what does PD represent, and what is its value? What does PD represent?
Answer:
0.260
Step-by-step explanation:
According to the Question,
Given that, In a computer instant messaging survey, respondents were asked to choose the most fun way to flirt.And, it found that P(D)=0.740, where D is directly in person.
If someone is randomly selected, PD represents Upper P left parenthesis & Upper D represents overbar right parenthesis .⇒P(D) is the probability flirting of directly in person.
⇒P( D ) represents the probability of flirting other than in person.
P(D)=0.740 & P( D )=1 - P(D)
P( D ) = 1 - 0.740.
P( D ) = 0.260
Hence the value of Upper P left parenthesis Upper D overbar right parenthesis is 0.260.
PLEASE I NEED HELP!!
Answer:
it is (4,120)
hope this helps you
I need help on this please
9514 1404 393
Answer:
B 2/6
Step-by-step explanation:
2 of the 6 possible outcomes are ones that are of interest. A "fair" die means the mutually-exclusive outcomes have equal probability, so ...
P(4 or 5) = P(4) +P(5) = 1/6 + 1/6 = 2/6
Help Pleasss I will give brainlyest!!!! :D
Answer: The answer is 2,4. May I have the brainiest? pls I only need one more.
Given that Q(x)=2x^2 +5x-3 find and simplify Q(a+h)-Q(a-h)
Step-by-step explanation:
here is the answer. Feel free to ask for more.
Write an equation that represents the line.
Answer:
Y = 2/3X + 4/3
Step-by-step explanation:
(1,2) (4,4)
M = 2/3
Y = 2/3X + b
4 = 8/3 + b
12 = 8 + 3b
4 = 3b
B = 4/3
Y = 2/3X + 4/3
Suppose 58% of the population has a retirement account. If a random sample of size 570 is selected, what is the probability that the proportion of persons with a retirement account will be less than 57%
Answer:
The probability that the proportion of persons with a retirement account will be less than 57%=31.561%
Step-by-step explanation:
We are given that
n=570
p=58%=0.58
We have to find the probability that the proportion of persons with a retirement account will be less than 57%.
q=1-p=1-0.58=0.42
By takin normal approximation to binomial then sampling distribution of sample proportion follow normal distribution.
Therefore,[tex]\hat{p}\sim N(\mu,\sigma^2)[/tex]
[tex]\mu_{\hat{p}}=p=0.58[/tex]
[tex]\sigma_{\hat{p}}=\sqrt{\frac{p(1-p)}{n}}[/tex]
[tex]\sigma_{\hat{p}}=\sqrt{\frac{0.58\times 0.42}{570}}[/tex]
[tex]\sigma_{\hat{p}}=0.02067[/tex]
Now,
[tex]P(\hat{p}<0.57)=P(\frac{\hat{p}-\mu_{\hat{p}}}{\sigma_{\hat{p}}}<\frac{0.57-0.58}{0.02067})[/tex]
[tex]P(\hat{p}<0.57)=P(Z<-0.483)[/tex]
[tex]P(\hat{p}<0.57)=0.31561\times 100[/tex]
[tex]P(\hat{p}<0.57)[/tex]=31.561%
Hence, the probability that the proportion of persons with a retirement account will be less than 57%=31.561%
How many solutions does the nonlinear system of equations graphed below
have?
A. One
B. Four
C. Two
D. Zero
Answer:
D
Step-by-step explanation:
There is no point shared by all three graphs
vention 1 of 10
These box plots show daily low temperatures for a sample of days in two
different towns
TWINA
M
41
41
Town 1
1620
MI
D
10
152025 M3540
Degrees (0)
Which statement is the most appropriate comparison of the centers?
O A. The median temperature for both towns is 20"
B. The mean for town A, 30", is greater than the mean for town 8,25"
C. The median temperature for both towns is 30'
D. The median for town A, 30', is greater than the median for town B,
25
PREVIOUS
9 M
Exercise
a. I choose the correct option from Contain Questions
i Which of the following is a group set ?
(b) A happy person in the Village
(c) Simple Ex in the book (d) school age student
(Weekly
Answer:
happy person in the village
5* 2+3.(4+2)-4(5* 2)
Answer:
5 * 2 + 3(4 + 2) - 4(5 * 2)
= 10 + 3(6) - 4(10)
= 10 + 18 - 40
= 28 - 40
= -12
There are seven people online and each person uses either a blue, black, or red pen to write while working. How many possible combinations can be made?
A. 49
B. 28
C. 21
D. 10
A S A P!! I DONT WANT MY DAD YELLING AT ME FOR THIS ;^;
Answer:
21 is the answer for this question may be
(S
Sue can shovel snow from her driveway in 65 minutes. Tom can do the same job in 45 minutes How long would a
take Sue and Tom to shovel the driveway if they worked together?
Answer:
26.59 minutes
Step-by-step explanation:
Let's say the time needed to do the driveway combined is x. Sue does y parts of the driveway, and Tom does z parts of the driveway. Combined, y + z = 100% = 1, as they finish the whole driveway.
Next, Tom will take 45 * z minutes to do his part of the driveway. For example, if he did 50% = 0.5 of the driveway, he would take 45 * 0.5 = 22.5 minutes to do it. Similarly, Sue will take 65 *y minutes to do her part of the driveway. Since they will finish at the same time, we can say
45 * z = 65 * y
y + z = 1
Therefore, if we subtract y from both sides of the second equation, we have
z = 1-y
We can then plug 1-y in for z in the first equation to get
45 * (1-y) = 65 * y
45 - 45*y = 65*y
add both sides by 45 * y to separate the y values and their coefficients
45 = 110 * y
divide both sides by 110 to find y
y = 45/110 = 0.409
Use 1-y=z to get z = 1-0.409 = 0.59
Therefore, 45*z = 26.59 = 65*y
find the mean proportional between 9 and 1/36
Answer:
The mean proportional between 1/36 and 1/9 would be 1/18.
What is the value of x in the triangle?
Answer:b
Step-by-step explanation:
Ive done this
The ages of subscribers to a certain newspaper are normally distributed with mean 35 years and standard deviation 5. What is the probability that the age of a random subscriber is more than 40 years?
Answer:
0.1587
Step-by-step explanation:
Applying,
P(μ>40) = P(μ-(x-μ)/σ)............. Equation 1
Where P(μ>40) = probability of the age of the random subscriber more than 40 years μ = mean, σ = standard deviation, x = random subscriber
From the question,
Given: μ = 35 years, σ = 5 years, x = 40 years.
Therefore,
P(μ>40) = P(35-(40-35)/5) = P(35-(5/5)
P(μ>40) = 1-φ(1)
From the norminal probabilty table,
P(μ>40) = 1-0.8413
P(μ>40) = 0.1587
A photograph has a length that is inches longer than its width, x. So its area is given by the expression square inches. If the area of the photograph is square inches, what is the width of the photograph?
The width of the photograph is blank inches.
Answer:
width is also "inches"
Step-by-step explanation:
what is the best deal for diet coke?
12oz. for $.99
64oz. for $.2.99
128oz. for $4.99
Answer:
128 for 4.99
64 for 2.99 times 2 is more than 4.99.
12 oz. for 0.99 is also more than 4.99.
Expand 5(2x-1) please I need it for homework.
10x-5
Answer:
5(2x-1)
5*2x 5*-1
10x-5
Hey there!
5(2x - 1)
= 5(2x) + 5(-1)
= 10x - 5
Therefore, your answer should be: 5x - 5
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
If the tangent line to y = f(x) at (6, 3) passes through the point (0, 2), find f(6) and f '(6). f(6) = Incorrect: Your answer is incorrect. f '(6) = Correct: Your answer is correct.
Answer:
f(6) = 3
f'(6) = 1/6
Step-by-step explanation:
Remember that for a function f(x), we define f'(x) as the slope of the tangent line to the point (x, f(x))
We know that:
y = f(x) passes through the point (6, 3)
Then we already know that:
f(6) = 3.
Now we also know that the tangent at this point, also passes through (0, 2)
Remember that a line can be written as:
y = a*x + b
Where in this case, a = f'(6)
so we just want to find the slope of this line.
Remember that for a line that passes through (x₁, y₁) and (x₂, y₂) the slope is given by:
a = (y₂ - y₁)/(x₂ - x₁)
And we know that the tangent line passes through the points (0, 2) and (6, 3)
Then the slope is:
a = (3 - 2)/(6 - 0) = 1/6
Then we have:
a = f'(6) =1/6
What is the perimeter of parallelogram WXYZ? StartRoot 5 EndRoot + StartRoot 17 EndRoot units 2 StartRoot 5 EndRoot + 2 StartRoot 17 EndRoot units 16 units 22 units
Answer:
b
Step-by-step explanation:
im doing it on edge right now
Help 20 pointss nowww it is math and pls I need it
Answer:
The answer is b
Step-by-step explanation:
Step-by-step explanation:
hope it helps you..........
Find the distance between the points ( 4, 7) and (-1,2
Answer:
7.07 (3 significant figures)
Step-by-step explanation:
the distance between the two points on the x axis is 5 and the distance between the two point son the y axis is 5. thus by using pythagerous theorem you are able to get the hypotenuse which is the distance between the two points which in this case is 7.07 when rounded to 3 significant figures. not sure if im correct but i hope it helps
The weights for newborn babies is approximately normally distributed with a mean of 5.4 pounds and a standard deviation of 1.8 pounds. Consider a group of 1500 newborn babies: 1. How many would you expect to weigh between 3 and 6 pounds
Answer:
You would expect 807 babies to weigh between 3 and 6 pounds.
Step-by-step explanation:
We are given that
Mean,[tex]\mu=5.4[/tex]pounds
Standard deviation,[tex]\sigma=1.8[/tex]pounds
n=1500
We have to find how many would you expect to weigh between 3 and 6 pounds.
The weights for newborn babies is approximately normally distributed.
Now,
[tex]P(3<x<6)=P(\frac{3-5.4}{1.8}<\frac{x-\mu}{\sigma}<\frac{6-5.4}{1.8})[/tex]
[tex]=P(-1.33<Z<0.33)[/tex]
[tex]P(3<x<6)=P(Z<0.33)-P(Z<-1.33)[/tex]
[tex]P(3<x<6)=0.62930-0.09176[/tex]
[tex]P(3<x<6)=0.538[/tex]
Number of newborn babies expect to weigh between 3 and 6 pounds
=[tex]1500\times 0.538=807[/tex]
I feel like it would be 6/10 but that’s not an answer
Answer:
I think it would be 3/4
Step-by-step explanation:
What is the gradient of the graph shown? Give your answer in simplest form
Answer:
gradient = 2
line: y = 2x - 4
Step-by-step explanation:
Find the slope from the slope intercept formula
y = mx + b
b is the y intercept
b = -4 and the point is (0,-4)
So far the equation looks like this.
y = mx - 4
Use the other intercept (x intercept) to find m
x = 2
y = 0
0 = m*2 - 4 Add 4 to both sides
4 = 2m Divide by 2
4/2 = m
m = 2
So the gradient or slope is 2
Chloe has a small dog and a large dog. Each day, the small dog eats 3/4 cup of dog food, and the large dog 2 1/2 cups of dog food. In one week, how much more dog food does the large dog eat than the small dog ?
A. 1 3/4 cups
B. 8 3/4 cups
C. 12 1/4 cups
D. 22 3/4 cups
Answer:
A
Step-by-step explanation:
small dog eats 3/4 cup each day
large dog eats 1 cup each day
~after 1 week (x7)~
small dog = 5.25 cups
large dog = 7 cups
(7-5.25=1.75)
= therefore 1 and 3/4 cups
In a survey, 30 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $35 and standard deviation of $17. Construct a confidence interval at a 95% confidence level.
Answer:
CI 95 % = ( 28.92 ; 41.08 )
Step-by-step explanation:
Sample Information:
sample size n = 30
sample mean = 35 %
sample standard deviation s = 17
To construct a CI 95 %
significance level is α = 5 % α = 0.05 α/2 = 0.025
z critical for α/2 from z- table is : z (c) = 1.96
CI 95 % = ( x ± z(c) * s/√n )
CI 95 % = ( 35 ± 1.96 * 17/√30 )
CI 95 % = ( 35 ± 6.08 )
CI 95 % = ( 28.92 ; 41.08 )
