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 %
Learn more about two-way table here:
https://brainly.com/question/26788374
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!
pleaseee help meeeeeeee
In a class of 90 students, the ratio of boys and girls is 4:5 Find the number of boys and girls
Step-by-step explanation:
Number of students in class = 90
ratio of boys and girls = 4:5
sum of ratios = 9
Number of boys = 4/9 × 90
= 360/9
= 40
Number of girls = 5/9 × 90
= 450/9
= 50
Hope it helpz~
5 0
·
5 –3
= how do i do this
WILL GIVE BRAINLIEST, THANKS AND 5 STARS!
PLEASE HELP ME!
QUESTION IN SCREENSHOT
↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓
↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓
↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓
↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓
Answer:
4 and -1
Step-by-step explanation:
Roots are the X values of the quadratic equation, or where it crosses the x axis
Answer:
a, f
Step-by-step explanation:
How to multiply 70.94 by 3.2 and get 227.008
Answer:
solution
Step-by-step explanation:
so the solution is this first multiply the numbers with out the decimal point and then count and add the decimal point.
Solve for x √4x-3=5 check extraneous or not
Answer:
ok i ned time
Step-by-step explanation:
Rotate the following figure 90 degrees clockwise about the origin (0,0)
Step-by-step explanation:
The rule for a 90-degree clockwise rotation about the origin (0,0) is:
(x,y) -----> (y,-x)
Simply apply this and you'll get your answer.
Hope this helps :)
4 divided by 1/3 is 12 becuase
Answer:
12
Step-by-step explanation:
When we divide fractions we multiply instead since it's the opposite of division and we do the reciprocal. Reciprocal means we flip the fraction from 1/3 to 3/1
So:
4÷1/3 would become 4×3/1
4×3/1 is the same as 4×3
So:
4×3=12
That's why the answer is 12.
Try your best be a super star
Answer: Thanks! Same to you, hope you have a good life.
Step-by-step explanation:
You too, I guess! Thanks for the points.
kim and darren left campus traveling in opposite directions. if kim drove 35mph and darren drove 30mph, how far were they after 1 1/2 hours?
Answer:
Kim 52.5 miles, Darren 45 miles
Step-by-step explanation:
Kim drove 35 mph:
35 mph x 1.5 hours = 52.5 miles
Darren drove 30 mph:
30 mph x 1.5 hours = 45 miles
what is the difference between the greatest and least amounts of rain falls? Iready
Answer:
[tex]1\frac{7}{8}inches[/tex]
Step-by-step explanation:
From the image we know that the greatest amount of rainfall is 2 inches, and the least is 1/8. If we subtract these two, we'll find the difference
[tex]2-\frac{1}{8} =\frac{16-1}{8} =\frac{15}{8} =1\frac{7}{8}[/tex]
Therefore, the difference between the greatest and least amount of rainfall is [tex]1\frac{7}{8}inches[/tex]
Remember that the greatest amount of rainfall is represented by the greatest number, and the least amount of rainfall is represented by the least number.
What is the slope of the line that passes through (-4, 5) and (2, -3)?
NEED ASAP WILL MARK BRAINLIST
Answer: A
Step-by-step explanation:
[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-4,\:5\right),\:\left(x_2,\:y_2\right)=\left(2,\:-3\right)[/tex]
[tex]m=\frac{-3-5}{2-\left(-4\right)}[/tex]
[tex]\bold{m=-\frac{4}{3}}[/tex]
Answer:
A) -4/3
Step-by-step explanation:
The formula for the slope of a line is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Plugging in the given values, we have:
[tex]\frac{-3-5}{2-(-4)}[/tex]
Solving:
[tex]\frac{-3-5}{2-(-4)}[/tex]
[tex]\frac{-8}{6}[/tex]
[tex]-\frac{4}{3}[/tex]
hope this helps!
How do you differentiate y=x^(e^x) ?
We are given the function to differentiate:
[tex]{\quad \qquad \sf \rightarrow y=x^{e^x}}[/tex]
Do take natural log on both sides, then we will be having
[tex]{:\implies \quad \sf ln(y)=ln(x^{e^{x}})}[/tex]
[tex]{:\implies \quad \sf ln(y)=e^{x}ln(x)\quad \qquad \{\because ln(a^b)=bln(a)\}}[/tex]
Now, differentiate both sides by using so called chain rule and the product rule
[tex]{:\implies \quad \sf \dfrac{1}{y}\dfrac{dy}{dx}=e^{x}ln(x)+\dfrac{e^x}{x}}[/tex]
[tex]{:\implies \quad \boxed{\bf{\dfrac{dy}{dx}=x^{e^x}\bigg\{\dfrac{e^x}{x}+ln(x)e^{x}\bigg\}}}}[/tex]
Hence, Option B) is correct
Product rule of differentiation:
[tex]{\boxed{\bf{\dfrac{d}{dx}(uv)=u\dfrac{dv}{dx}+v\dfrac{du}{dx}}}}[/tex]Where, u and v are functions of x
The crew is taking 180 ounces of oranges and 220 ounces of apples. How many pounds of fruit are they taking in all?
Nicole's Pie Shop recently sold 26 pies, of which 13 were chocolate cream pies. Considering this data, how many of the next 54 pies sold should you expect to be chocolate cream pies
Answer:
27
Step-by-step explanation:
Based on the given conditions, formulate: 54×13÷26
Cross out the common factor:54/2
Cross out the common factor:27
Get the result:27
Answer: 27
Please answer asap and show all work giving points for it ! :)
Answer:
The total amount accrued, principal plus interest, with compound interest on a principal of $2,500.00 at a rate of 6% per year compounded 1 times per year over 10 years is $4,477.12.
There are 5 red, 18 green, and 17 blue pens in a bag. Leah selects a pen 800 1
times without looking. Before each selection, she replaces the pen in the
bag. Write and evaluate an expression to predict the number of times Leah
selects a pen that is red or green. *
The number of times Leah is expected to select a pen that is red or green is 460 and the expression is 23/40 * 800
How to determine the expected selection of red or green pen?The distribution of the pen is given as:
Red = 5
Green = 18
Blue = 17
The number of red or green pen is:
Red or green = 5 + 18
Evaluate
Red or green = 23
In a selection of 800 pen, the expected number of red or green pen is:
E(x) = 23/(5 + 18 + 17) * 800
Evaluate the sum
E(x) = 23/40 * 800
Evaluate the expression
E(x) = 460
Hence, the number of times Leah is expected to select a pen that is red or green is 460
Read more about expected values at:
https://brainly.com/question/15858152
#SPJ1
The length of a rectangle is 3 times its width. What is the width of the rectangle if the area is 48 square centimeters?
A. 4
B. 9
C. 12
D. 16
Answer:
D
Step-by-step explanation:
Thanks
Find the equation of the line.
Use exact numbers.
y=y=y, equals
x+x+x, plus
Answer:
y=x-5
Step-by-step explanation:
LOOK AT IMAGE FOR MORE INFO
I NEED THIS ASAP! I WILL GIVE BRAINLEST, 5 STARS, AND LOTS OF POINTS IF U ANSWER CORRECTLY THANKS.
Answer:
This is an obtuse scaline triangle.
Step-by-step explanation:
Hope I Helped!!
Use the slope formula to calculate the slope of a line that passes through points (2, 5) and (3, 8)
Answer:
m=3
Step-by-step explanation:
Determine if you can make a triangle from the 3 given side lengths.
3 cm, 16 cm, and 8 cm
Check the picture below.
we have three sides, let's look at the two smaller sides first.
check picture atop
if we move the sides closer and ever closer to each other, to the extent that one is right on top of the other, what is the length of the red side? Well, assuming the two smaller sides are one pancaked on top of the other, the red side will be as long as 8 - 3 = 5. However, the sides can't be on top of each other, because if that's so, we have a flat-line, and thus we wouldn't have a triangle. So whatever the third side may be, it must be greater than 5.
check picture below
Now, if we move the sides away from each other, farther and farther to the extent that one is parallel to the other, then the third side will just be as long as 3 + 8 = 11. However, we can't do that, because if that were to happen, we again will have a flat-line and not a triangle. So whatever the third side may be, it must be less than 11.
well, needless to say, the 16 cm side, is outside that range, so, hmmm no dice.
190x+700=1,460. Solving this equation, we get x
Answer:
x = 4
Step-by-step explanation:
Given: 190x + 700 = 1,460
1. Subtract 700 from both sides:
190x + 700 - 700 = 1,460 - 700
190x = 760
2. Divide both sides by 190 to isolate x:
190x ÷ 190 = 760 ÷ 190
x = 4
Learn more about equations here:
brainly.com/question/26229877
Solve for X. Please help me!
Answer:
145°
Step-by-step explanation:
based on how the lines are set up, you could either subtract 35 from 180, or just get the 145 from the angle below.
When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown? 2 7c – 4c2 – 3c 4 –4c2 4c 6 –7c2 10c 6 –4c2 4c 8 –7c2 7c 6
The simplified and standard form of the considered polynomial is -4c^2 -4c + 6
What is standard form of a polynomial?Suppose the considered polynomial is of only one variable.
Then, the standard form of that polynomial is the one in which all the terms with higher exponents are written on left side to those which have lower exponents.
The given polynomial is:
[tex]2 + 7c - 4c^2 - 3c + 4[/tex]
Simplifying it gives:
[tex]2 + 7c - 4c^2 - 3c + 4 = 2+4 + (7-3)c - 4c^2 = 6 -4c -4c^2[/tex]
Writing it in the order of increasing to decreasing powers:
[tex]6 -4c -4c^2 = -4c^2 -4c + 6[/tex]
Thus, the simplified and standard form of the considered polynomial is [tex]-4c^2 -4c + 6[/tex]
Learn more about standard form of a polynomial here:
https://brainly.com/question/15313798
Luis trabaja en Canadá por cada 15 dólares que gana envía 8 a su
Familia que vive en Zacatecas. La semana pasada ganó 300 dólares¿Cuanto
Dinero enviará a su familia?
Usando proporciones, hay que Luis enviará 160 dólares a su familia.
¿Qué es una proporción?Una proporción es una fracción de la cantidad total, y puede ser encontrada por intermedio de una regla de tres.
En este problema, la regla de tres es dada por:
15 dólares - 8 envíados
300 dólares - n envíados
Aplicando multiplicación cruzada:
15n = 300 x 8
n = (300 x 8)/15
n = 160
Luis enviará 160 dólares a su familia.
Puede-se aprender mas a cerca de proporciones es brainly.com/question/26425852
3) Jane organized this stem and leaf plot to display recent temperatures. How many days of temperatures are displayed? A) 8 B) 9 C) 10 D) 12
The stem and leaf plot is an illustration of graphs and charts.
The number of days of temperatures displayed on the stem and leaf plot is 10
How to determine the number of days displayed?The stem and leaf plot is given as:
Stem Leaf
4 9
5 2 4 4 6 8
6 0 1
7 2 3
To determine the number of days, we simply count the number of leaves on the plot.
The leaves on the plot are:
Leaves: 9, 2, 4, 4, 6, 8, 0, 1, 2 and 3
The number of leaves is:
Count = 10
Hence, the number of days of temperatures displayed on the stem and leaf plot is 10
Read more about stem and leaf plot at:
https://brainly.com/question/12276901
help me now !!!
-11=t-5
help me
Answer:
[tex]\huge\boxed{\bf\:-6 = t}[/tex]
Step-by-step explanation:
[tex]-11 = t - 5[/tex]
Bring - 5 to the right hand side of the equation.
[tex]-11 = t - 5\\-11 + 5 = t\\\boxed{\bf\:-6 = t}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
Hii student!
-- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- -- -- -- -- - -- - -- -- -- --
[tex]\ddagger\leadsto\mid\boldsymbol{Answer.}\mid\gets\ddagger[/tex]
The value of t = -6
-- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- -
[tex]\ddagger\leadsto\mid\boldsymbol{explanation!}\mid\gets\ddagger[/tex]
We have the equation [tex]\sf -11=t-5}[/tex]. And what we need to do is solve for the variable, t.
↪
To solve for the variable, we should ensure that the variable we need to solve for is all by itself on one side of the equation.
T is not all by itself, [tex]\because[/tex] 5 is subtracted from it.
So what do we do to "remove" that 5 from there? Wouldn't it be great if there was a zero instead of the -5?
We can make that happen by adding 5 to both sides.
We add 5.
[tex]\sf -11=t-5+5}\\-11=t+0}\\-11=t[/tex]
[tex]\bullet[/tex] However, we also need to add 5 to the other side.
[tex]\sf -11+5=t}[/tex]
Simplify!
[tex]\sf -6=t}[/tex]
NOW the variable, t, is all by itself.
↪
Tip: Why not check your work and make sure there are no mistakes?
We can proof-read, but we can also do this:
Plug in the solution (t=-6) into the original equation.[tex]\sf -11=-6-5}[/tex]. Upon simplification, we obtain
[tex]\sf -11=-11[/tex]
Since both sides (the left hand side, l.h.s. and the right hand side, r.h.s. are the same, our solution, t=-6, is correct. Great job!
--
Hope that this helped! Best wishes,
[tex]\textsl{Reach far. Aim high. Dream big.}[/tex]
[tex]\boldsymbol{-Greetings!-}[/tex]
--
Which polynomial expression represents a sum of cubes? (6 – s)(s2 6s 36) (6 s)(s2 – 6s – 36) (6 s)(s2 – 6s 36) (6 s)(s2 6s 36)
An expression is defined as a set of numbers, variables, and mathematical operations. The polynomial expression that represents the sum of cubes is (s+6)(s²-6s+36).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The sum of the cubes of a polynomial expression can be written as,
[tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]
Therefore, we need to find the polynomial expression which looks similar to the above expression,
[tex]s^3+6^3=(s+6)(s^2-6s+36)[/tex]
Thus, the polynomial expression that represents the sum of cubes is [tex](s+6)(s^2-6s+36)[/tex].
Learn more about Expression:
https://brainly.com/question/13947055
Answer:
(6 + s)(s2 – 6s + 36)
Step-by-step explanation:
2022
Please can you help me with this and the answer is not 6.4
Answer: Find details in the picture. The answer is 4.9
Step-by-step explanation: