Answer:
B
In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials.
Use the information in the two-way table to complete the statement. the probability that a person has a positive rh factor given that he/she has type o blood is percent. there is a greater probability for a person to have a than a person to have a positive rh factor given type o blood.
The probability that a person has a positive rh factor given that he/she has type O blood is approximately 82.2 %
What is the chain rule in probability for two events?For two events A and B:
The chain rule states that the probability that A and B both occur is given by:
[tex]P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)[/tex]
How to form two-way table?Suppose two dimensions are there, viz X and Y. Some values of X are there as [tex]X_1, X_2, ... , X_n[/tex] and some values of Y are there as [tex]Y_1, Y_2, ... , Y_n[/tex]
List them in title of the rows and left to the columns. There will be n \times k table of values will be formed(excluding titles and totals), such that:
Value(ith row, jth column) = Frequency for intersection of [tex]X_i[/tex] and [tex]Y_j[/tex] (assuming X values are going in rows, and Y values are listed in columns).
Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.
For n = 2, and k = 2, the table would look like:
[tex]\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}[/tex]
where S denotes total of totals, also called total frequency.
n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.
The missing two-way table for this problem is given below:
[tex]\begin{array}{cccccc}&A&B&AB&O&\rm Total\\\text{Negative}&0.07&0.02&0.01&0.08&0.18\\\text{Positive}{&0.33&0.09&0.03&0.37&0.82\\\rm Total & 0.40&0.11&0.04&0.45&1 \end{array}[/tex]
Instead of frequencies, it contains ratio of frequency to total count of people surveyed (thus, relative frequency).
We want the probability that a person has a positive rh factor given that he/she has type O blood.
If we take:
E = event that a random person chosen has a positive rh factor
and F = event that a random person chosen has type O blood
Then, the needed probability is written symbolically as:
P(E|F).
Using the considered two-way table and the chain rule, we get this probability as:
[tex]P(E|F) = \dfrac{P(E \cap F)}{P(F)} = \dfrac{n(E \cap F)/ n(Total)}{n(F)/n(Total)}[/tex]
Since the two way table consists relative frequency with total count, so, we get:
[tex]n(E \cap F)/n(Total) = 0.37\\n(F)/n(Total) = 0.45[/tex]
[tex]P(E|F) = \dfrac{n(E \cap F)/ n(Total)}{n(F)/n(Total)} = \dfrac{0.37}{0.45} \approx 0.822 = 82.2\%[/tex]
Thus, the probability that a person has a positive rh factor given that he/she has type O blood is approximately 82.2 %
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Answer:
The answers will be
The probability that a person has a positive Rh factor given that he/she has type O blood is 82 percent.There is a greater probability for a person to have a positive Rh factor given type A blood than a person to have a positive Rh factor given type O blood.
Step-by-step explanation:
Hope this help!
ANSWER PLS<3 :)))
25 points each!!
see photo below v
Answer:
the answer is b
Step-by-step explanation:
it makes the most sense
option D is correct.
Explanation:
[tex]\rightarrow \sf f(x) = 2x-9[/tex]
To find inverse, make x the subject
[tex]\rightarrow \sf f(x)+9 = 2x[/tex]
[tex]\rightarrow \sf x = \dfrac{ f(x)+9}{2}[/tex]
So the inverse is:
[tex]\rightarrow \sf g(x) = \dfrac{ x+9}{2}[/tex]
Rest all options are incorrect and is not inverse of each other.
If a circle has a circumference of 94.2cm, determine the area
What is the radius of a circle whose equation is x2 y2 8x−6y 21=0? 2 units 3 units 4 units 5 units
The center of the circle x² + y² + 8x − 6y + 21 = 0 is at (-4, 3) and the radius of the circle is 2 units.
What is a circle?It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The equation of the circle is given as
x² + y² + 8x − 6y + 21 = 0
The equation can be written as
x² + 8x + 16 + y² − 6y 9 = 4
(x + 4)² + (y − 3)² = 2²
Then the center of the circle is at (-4, 3) and the radius of the circle is 2 units.
More about the circle link is given below.
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Answer: ^ TDLR : 2 units / A
Step-by-step explanation:
edge 2023 x3
Is 70% of 18 >, <, or = to 80% of 70?
Answer:
70% of 18 < to 80% of 70
Step-by-step explanation:
70% of 18 is 12.6, and 80% of 70 is 56. So 12.6 < 56.
To get the calculations I did .70 x 18 and then .80 x 70
(NO LINKS PLEASE)
Melina performs an experiment in which she pulls a marble out of a bag, records its color, puts it back, and repeats. After completing 24 trials, she pulled a yellow marble 3 times.
What is the experimental probability of pulling a yellow marble from the bag?
Enter your answer as a fraction, like this: 42/53
Answer:
3/24 or 1/8 (either one)
Answer: 3/24
Step-by-step explanation:
Distributive Property to find (z-5)(z+3)
Answer:
z×(-5+3)then you complete the sum and that is your answer
Step-by-step explanation:
hope it helps you
Anthony buys 3 lb of oranges and 1 lb of cherries. Katie buys 2 lb of oranges and 2 lb of cherries. Oranges cost d dollars per pound, and cherries cost c dollars per pound . Write and expression with exactly two terms for the total cost of the fruit Anthony and Katie buy. Show your work.
Answer:
5d + 3c = x
Step by step explanation:
5 oranges so 5d
3 cherries so 3c
lf Jackie earns $312.00 after working 24 hours what is the hourly rate?
Answer:
312 divided by 24 = 13.
So the hourly rate is 13/hour
Answer:
$13.00. To find the hourly rate you need to divide the total amount Jackie earned by the amount of hours she worked in total. When you divide 312 by 24 you will get 13, therefore Jackie makes a total of $13.00 per hour.
Use the information to answer the question.
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest inch, how many inches are in 7 meters? Enter the answer in the box.
inches
Answer:
276
Step-by-step explanation:
275.59 is if its not rounded. you round up since its over .5, so it rounds to 276. hope this helps!
Read the sentence.
"I've asked you a million times to please close the back door, said Jade's mother.
Which figure of speech is used in this sentence?
hyperbole
metaphor
personification
simile
Answer:
A. Hyperbole
Step-by-step explanation:
"I've asked you a million times to please close the back door," said Jade's mother.
A million times is the exaggerated phrase in the sentence. Jade's mother did not really ask her that a million times, but it is used in this sentence as a way to show the reader that she said it a lot.
Hope this helps! : )
PLS HELP!! No links pls and Ty <333
Lee is baking a pie. The radius of the pie is 2 inches.
What is the circumference of the pie (use 3.14 for pi and round to the
nearest tenth)?
Answer:
12.6
Step-by-step explanation:
well the true answer is 12.56, i might of rounded wrong lol
help solve the problem
Answer:
$3.15
Step-by-step explanation:
1 dryer: 500 W
6 dryers: 6 × 500 W = 3000 W × (1 kW / 1000 W) = 3 kW
Running 6 dryers for 1 hour: 3 kW × $0.15 kWh = $0.45
Running 6 dryers for 7 hours: $0.45 × 7 = $3.15
i would be so happy if someone can help me, thank you !
Answer:
How r u doing today? i needed friends
so,Hi,
Discussion: Descriptive Statistics
Graded Discussion
Discussion Topic
People use data and statistics to help them make important policy decisions, to identify problems in an organization, and to predict outcomes. In this
unit, you studied various ways to analyze and represent data sets to determine how to best interpret the data. You also learned how to critically examine
the data and account for outside factors that may influence the patterns you see in the data.
Think about the many statistical scores or rankings you receive in school, such as GPA, SAT and ACT scores, test scores, and class ranking. Describe
the usefulness and limitations of these pieces of data in defining who you are as a person or as a student. In what ways do they help give a clear
picture? What are they not conveying?
The importance of descriptive statistics is that it provides basic information about the variables in a dataset.
What is a descriptive statistics?A descriptive statistics simply means a description of the data set that are in a population.
Here, the importance of descriptive statistics is that it provides basic information about the variables in a dataset.
The limitation of descriptive statistics is that it only allows one to make summations about the objects measured.
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please tell me the answer please
The best way to do this is to use the butterfly method. Assume the ? = x
[tex]\frac{1}{10} = \frac{x}{1,000} \\10x = 1,000\\x = 100[/tex]
Thus, the question mark would be 100
Hope this helped! :)
Kenishas dog ate 15/20 of a bag of dog food last week.What is 15/20 in simplest form?
Answer:
15/20 in simplest form is 3/4
Step-by-step explanation:
15/20 in simplest form is 3/4 cause if you divide 15 by 5 you get 3 and if you divide 20 by 5 you get 4
The simplest form of the given fraction 15/20 is 3/4.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Given that, Kenisha's dog ate 15/20 of a bag of dog food last week.
The simplest form is the smallest possible equivalent fraction of the number.
Here, simplest form of 15/20
Divide both the numerator and denominator by 5, we get
15÷5/20÷5 = 3/4
Therefore, the simplest form of the fraction is 3/4.
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What is Limit of StartFraction StartRoot x + 4 EndRoot minus 3 Over x minus 5 EndFraction as x approaches 5?
Negative one-sixth
0
One-sixth
DNE
I assume the limit you're asked to copmute is supposed to be
[tex]\displaystyle \lim_{x\to5} \frac{\sqrt{x+4}-3}{x-5}[/tex]
Rationalize the numerator by multiplying it by its conjugate:
[tex]\dfrac{\sqrt{x+4}-3}{x-5} \times \dfrac{\sqrt{x+4}+3}{\sqrt{x+4}+3} = \dfrac{\left(\sqrt{x+4}\right)^2-3^2}{(x-5) \left(\sqrt{x+4}+3\right)} = \dfrac{x-5}{(x-5) \left(\sqrt{x+4}+3\right)}[/tex]
Since x is approaching 5, we have x ≠ 5 and can cancel the factors of x - 5 to remove the discontinuity.
Then
[tex]\displaystyle \lim_{x\to5} \frac{\sqrt{x+4}-3}{x-5} = \lim_{x\to5} \frac1{\sqrt{x+4}+3} = \frac1{\sqrt9+3} = \boxed{\frac16}[/tex]
because the simplified limand is continuous at x = 5.
Answer:
it is C. 1/6th
Step-by-step explanation:
Solve the following:
2x+15=35
Answer:
x = 10Step-by-step explanation:
Given
2x + 15 = 35#1) Subtract 15 from each side.
2x + 15 - 15 = 35 - 152x = 20#2) Divide 2 from each side.
2x/2 = 20/2x = 10The cost of living in Seattle increases by 1.2% every year. If Noah spends $41,000 this year, how
much can he expect to spend 4 years from now to maintain the same standard of living? Roun
to the nearest dollar.
462,453,444 find 30th term
Answer:
a₃₀ = 201
Step-by-step explanation:
there is a common difference between consecutive terms , that is
453 - 462 = 444 - 453 = - 9
this indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 462 and d = - 9 , then
a₃₀ = 462 + (29 × - 9 ) = 462 - 261 = 201
3(x + 5) = 18
what is x
Step-by-step explanation:
3x + 3 × 5 = 18
3x + 15 = 18
3x = 18 - 15
3x = 3
x = 3/3
x = 1
What angle looks like congruent to angle A
Answer:
-------------------------
Step-by-step explanation:
the angles 5 and 8 are also congruent to A.
Which side of the original parallelogram corresponds to the y-centimeter side of the enlarged parallelogram? Explain how you know.
A small parallelogram has a left side length of 10 centimeters and a top side length of 15 centimeters. A larger parallelogram has a left side length of x centimeters and top side length of y centimeters.
Not drawn to scale
The ____-centimeter side corresponds to the y-centimeter side.
10 cm because both are the shorter sides of the parallelogram
10 cm because both are the longer sides of the parallelogram
15 cm because both are the shorter sides of the parallelogram
15 cm because both are the longer sides of the parallelogram
Answer:
A
Step-by-step explanation:
Because A small parallelogram has a left side length of 10 centimeters and a top side length of 15 centimeters. A larger parallelogram has a left side length of x centimeters and the top side length of y centimeters.
HELP I TOTALLY FORGOT HOW TO DO THISS
Answer:
13
Step-by-step explanation:
First you would create a ratio.
Convert 3 1/4 gallons in a decimal -> 3.25 gallons
If 1 gallon = 4 quarts, then
[tex]\frac{3.25}{1} =\frac{x}{4}[/tex]
Now, solve for x via cross multiplying
[tex]x=13[/tex]
and sidenote ripp iready i feel your pain
While on a business trip to Millersburg, Camilla treated her co-workers to a meal that cost $300. Camilla knew that when the bill came, she would need to pay Millersburg sales tax of 8% and would want to leave a 15% tip on the original $300. Including tax and tip, how much did Camilla's meal cost?
When the bill came, she would need to pay Millersburg sales tax of 8% and would want to leave a 15% tip on the original $300. Including tax and tip, Camilla's meal cost $369.
Given that,
Original Meal Cost: $300
Sales Tax: 8% of the original meal cost
Tip: 15% of the original meal cost
Total Cost: Sum of the original meal cost, sales tax, and tip
Original Meal Cost = $300
Sales Tax = 8% of $300 = 0.08 * $300 = $24
Tip = 15% of $300 = 0.15 * $300 = $45
Total Cost = Original Meal Cost + Sales Tax + Tip
Total Cost = $300 + $24 + $45 = $369
Including tax and tip, Camilla's meal cost $369.
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The volume of a number cube is 27 cm^3. What is the length of each side of a cube?
Lets see
Volume of a cube=side³ATQ
side³=27side=³√27side=3cmAnswer:
a = 3 cm
Step-by-step explanation:
The length of each side of a cube is 3 cm.
(Refer to the attachment)
6
x
y
2
(
13
x
5
y
2
)
6xy
2
(13x
5
y
2
)
Answer:
(2 x 3 x [tex]13x^6[/tex][tex]Y^{4[/tex])
Step-by-step explanation:
The perimeter of a triangle is 42 yards. The first side is 5 yards
shorter than the second side, and the third side is 2 yards shorter
than the first side. What is the length of each side?
RSM QUESTION PLS SHOW WORK THANKS
Answer:The length of the third side is a-2.
Step-by-step explanation:
solve for w and y
w=
y=
Answer:
it is w45 y 10
Step-by-step explanation: