Monica took a survey of her classmates' hair and eye color. The results are in the table below.
What is the conditional relative frequency that a participant has red hair, given that he/she has green eyes.
0.5
0.13
5
0.38
Answers
Answer:
let R represent red hair
let G represent green eyes
from Baye's theorem:
[tex]P( \frac{R}{G} ) = \frac{P(RnG)}{P(G)} [/tex]
P(RnG) = 5
[tex]P(G) = { \sum}(green \: hair) \\ = (3 + 5 + 5) \\ = 13[/tex]
Therefore:
[tex]P( \frac{R}{G} ) = \frac{5}{13} \\ = 0.385[/tex]
The conditional relative frequency = 0.385
The conditional relative frequency will be 0.385
What is Baye's theorem?It is a theorem showing how to compute the conditional probability of each of a set of possible causes for a given observed outcome using knowledge about the probability of each cause and the conditional probability of each cause's outcome.
let R represent red hair
let G represent green eyes
from Baye's theorem:
[tex]P=\dfrac{R}{G}=\dfrac{P(R\cap G)}{P(G)}[/tex]
P(RnG) = 5
P(G) = ∑(Green hairs)
P(G)= 13+5+5 = 13
Therefore:
[tex]P(\dfrac{R}{G})= \dfrac{5}{13}=0.385[/tex]
The conditional relative frequency = 0.385
Hence the conditional relative frequency will be 0.385
To know more about Baye's theorem follow
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Related Questions
complete the first 4 steps for graphing the quadratic function given.
y= -x^2 -4x -3
ty<3
Answers
To be honest, I'm not sure which four steps your teacher is referring to. However, I'll show you one way to graph this.
A graph is simply a collection of points. Often those points are connected in some way (though they don't necessarily have to be) to form a curve.
Each point is of the form (x,y). To get each point, we pick random x values and determine their paired y value counterpart.
For example, if we pick x = -3, then,
y= -x^2 -4x -3
y= -(-3)^2 -4(-3) -3
y = -9 - 4(-3) - 3
y = -9 + 12 - 3
y = 0
This indicates that (-3, 0) is one point on the curve.
Let's repeat for x = -2
y= -x^2 -4x -3
y= -(-2)^2 -4(-2) -3
y = -4 - 4(-2) - 3
y = -4 + 8 - 3
y = 1
So (-2, 1) is another point on the curve.
Repeat this process as many times as you want. You should do at least 3 or 4 points in my opinion. The more points you generate, the more accurate the curve. After generating the points, you'll plot them all on the same xy grid. Then finally draw a curve through all of the points as shown below.
I used GeoGebra to make the graph.
Each student of a class contributed as many 5 rupees as the numbers of the students in the class.Find the number of the students in the class if the total collection was RS 10125.
Answers
And=2025 students gave 10125 rs
just divide it by 5hope it helps...pls mark me brainliest
I need help ASAP!! PLEASE EXPLAIN YOUR ANSWER
Answers
Answer:
600
Step-by-step explanation:
Volume of cuboid = l x w x h
length = 12
width = 10
height = 5
12 x 10 x 5 = 600 yd^3
answered by g a u t h m a t h
A girl who normally gets A's didn't do the first assignment given on the first day of school and now has 0%. How many 95% grades will she need to achieve an average of 90% overall? The points for each assignment are based on what she scores.
Answers
Answer:
19 of 95% grades
Step-by-step explanation:
90= (0+95(x-1))/x
90x=0+95(x-1)
90x=95(x-1)
90x=95x-95
90x-95x=-95
-5x=-95
x=-95/-5
x=19
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
Answers
Answer: Choice B
Open circle at 3. Shading to the right
========================================================
Work Shown:
3(8 - 4x) < 6(x - 5)
24 - 12x < 6x - 30
24 + 30 < 6x + 12x
54 < 18x
18x > 54
x > 54/18
x > 3
We use an open circle at 3 to indicate we don't include this endpoint as part of the solution. The solution set is everything larger than 3, so we shade to the right of this open circle.
The match starts at 14 55 and ends 1 hour 50 minutes later. Work out the time the match ends
Answers
Find an equation for the line with the given properties. Express the equation in slope-intercept form.
Containing the points P = (-3,1) and Q = (-1,0). What is the equation of the line?
y =
Answers
Answer:
y = (-x-1)/2
Step-by-step explanation:
x1 = -3
y1 = 1
x2 = -1
y2 = 0
now
m = rise/run = (y2-y1)/(x2-x1) = (0-1)/(-1+3) = -1/2
so
y = mx + b
0 = -1/2(-1) + b
or, 0 = 1/2 + b
or, 0-1/2 = b
so, b = -1/2
so
y = mx + b
y = -x /2+ -1/2
or, y = (-x-1)/2
A student was conducting a study to determine how many pagos he would need for the book he is writing. So, he found that the following number of words fit on each type of the following papers using an 11 point font:
The student looks up the word count on his favorite book, if the book has pages that are 5.5 in. x 6.5 in. and 67,062 words how many pages is the book?
Answers
Answer:
224 pages
Step-by-step explanation:
The book has pages that are 5.5in x 6.5 in (which holds 300 words)
There are a total of 67,062 words
Equation:
67,062 / 300 = total number of pages
67,062 = 223.54
That means 224 pages, because the last page is partially filled.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Given = 1/(−3), what is ((+ℎ)−())/ℎ ?
Answers
Answer:
-(1/(x+h-3)(x-3))
Step-by-step explanation:
y=1/(x-3)
(f(x+h)-f(x))/h=(1/(x+h-3)-1/(x-3))/h=-(1/(x+h-3)(x-3))
Enter the ratio as a fraction: 6ft to 10 inches
Answers
Answer:
6 feet to 10 inches
6 ft : 10 inches
There are 12 inches in a foot, so we have:
72 inches : 10 inches
36 inches : 5 inches
36:5
So the ratio is 36/5
Let me know if this helps!
Which ordered pair would fall in the first quadrant of the coordinate plane?
A) (3, 10)
B) (0, 0)
C) (0, 10)
D) (3, 0)
Answers
Answer: A (3,10)
Source : i made it up
Serena hits a tennis ball downward from the top of the net at which the angle of
depression is 20°. If the net is 0.9 m high, how far from the net does the ball land to
the nearest tenth of a metre?
Answers
Answer:
2.5 meter
Step-by-step explanation:
in a right triangle, tan of an angle = opposite side /adjacent side
tan 70° = x/ 0.9 , multiply both sides by 0.9
0.9 * tan 70° = x, solve on a calculator
x ≈ 2.5 m
What's the angle sum of a polygon having 7 sides.
Answers
Answer:
900°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 7 , then
sum = 180° × 5 = 900°
the population of a small city grows by 600 every year. If there were 900 people initially, find the population of the city 60 years after the city was first established
Answers
Answer:
36900
Step-by-step explanation:
It's a linear function with equation P(t)=900+600*t. P(60)=900+600*60=36900
Answer:
36,900
Step-by-step explanation:
First do 600 times 60=36,000
Next add 900
36,000+900=36,900
theres your answer :)
What is the domain of the relation (8, -2), (4,-2), (3, 2), (-5, -3)?
A. {8,4,3, -5}
B. {-8, -4, 3, 5)
C. 2-5, -3, 4, 8}
D. 2-3, -2, 2}
Answers
Answer:
A. {8, 4, 3, -5}
Step-by-step explanation:
The domain is the list of x values in a given function. Therefore, the domain is {8, 4, 3, -5}.
Answer choices:
A. 216
B. 367.2
C. 297.4
D. 432
pls help me!!
Answers
Answer:
216
Step-by-step explanation:
Volume of prism = BH
B -> Base area
Area of base:
b = 10 mi
h = 3.6mi
Area of the triangular base = [tex]\dfrac{1}{2}*b*h[/tex]
[tex]=\dfrac{1}{2}*10*3.6\\\\= 18 \ mi^{2}[/tex]
H = 12 mi
Volume of prism = 18 * 12 = 216 cubic mi
When a projector is placed 10 meters from a screen as shown, it produces an image 3 meters high. If the tallest image that the projector can produce without distortion is 4.5 meters high, what's the maximum distance the projector can be placed form the screen
Answers
Answer:
Step-by-step explanation: 10 meters/3 meters =x/4.5 meters
Where x = the maximum distance the projector can be placed that can produce an image 4.5 meters high
3x = 10 (4.5)
3x = 45
X= 45/3
X= 15 meters
So, the maximum distance that the projector can be placed from the screen which produces an image 4.5 meters high is 15 meters.
If(a-b) =4 and ab=2,find the value of a^2+b^2
Answers
Answer:
a² + b² = 20
Step-by-step explanation:
Given
(a - b) = 4 ← square both sides
(a - b)² = 4²
a² - 2ab + b² = 16 ← substitute ab = 2
a² - 2(2) + b² = 16
a² - 4 + b² = 16 ( add 4 to both sides )
a² + b² = 20
round off to one decimal place please
Answers
Answer:
Theta = 37.9 degrees
AC = 11.4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan theta = 7/9
tan ^ -1 tan theta = tan ^-1 (7/9)
theta =37.87498
To 1 decimal place
Theta = 37.9 degrees
We use the Pythagorean theorem to find AC
a^2 + b^2 = c^2
7^2 + 9^2 = AC^2
49+81 = AC^2
130 = AC^2
Taking the square root of each side
sqrt(130) = sqrt(AC^2)
AC = 11.40175
Rounding to 1 decimal place
AC = 11.4
The point A,B,C and D represent the complex number Z1,Z2,Z3 and Z4 and O is the origin. If OABC is a parallelogram, and Z1=1+3i and Z2=4+5i, find Z3
Answers
Complex numbers are divided into two parts; real and imaginary parts. The value of Z3 is [tex]5+ 8i[/tex]
Given that:
[tex]Z_1 = 1 + 3i[/tex]
[tex]Z_2 = 4 + 5i[/tex]
Since O is the origin, then:
[tex]C = OA + OB[/tex]
This means that:
[tex]Z_3 = Z_1 + Z_2[/tex]
So, we have:
[tex]Z_3 = 1 + 3i + 4 + 5i[/tex]
Collect like terms
[tex]Z_3 = 1 + 4+ 3i + 5i[/tex]
[tex]Z_3 = 5+ 8i[/tex]
Hence, complex number Z3 is [tex]5+ 8i[/tex]
Read more about complex numbers at:
https://brainly.com/question/18509723
plz plz solve this.
Answers
Step-by-step explanation:
Disclaimer: When writing this on the paper use the theta symbol, I'm using x since I'm on mobile.
2.
i).
[tex] \sin(x) \tan(x) \sec(x) = \tan {}^{2} (x) [/tex]
[tex] \sin(x) \sec(x) \tan(x) = \tan {}^{2} (x) [/tex]
[tex] \sin(x) \frac{1}{ \cos(x) } \tan(x) = \tan {}^{2} (x) [/tex]
[tex] \frac{ \sin(x) }{ \cos(x) } \tan(x) = \tan {}^{2} (x) [/tex]
[tex] \tan( x) ) \tan(x) = \tan {}^{2} (x) [/tex]
[tex] \tan {}^{2} (x) = \tan {}^{2} (x) [/tex]
iii).
[tex] \sec {}^{2} (x) (1 - \sin {}^{2} ( x ) ) = 1[/tex]
[tex] \sec {}^{2} (x) ( \cos {}^{2} (x) ) = 1[/tex]
[tex] \frac{1}{ \cos {}^{2} (x) } \cos {}^{2} (x) = 1[/tex]
[tex]1 = 1[/tex]
v).
[tex] \cot {}^{2} (a) - \cos {}^{2} (a) = \cot {}^{2} (a) \cos {}^{2} (a) [/tex]
[tex] \frac{ \cos{}^{2} (x) }{ \sin {}^{2} (x) ) } - \cos {}^{2} (x) [/tex]
Factor out cosine
[tex] \cos {}^{2} (x) ( \frac{1}{ \sin {}^{2} (x) } - 1) [/tex]
Simplify
[tex] \cos {}^{2} (x) ( \frac{1 - \sin {}^{2} (x) }{ \sin(x) } [/tex]
[tex] \cos {}^{2} (x( \frac{ \cos {}^{2} (x) }{ \sin {}^{2} (x) } ) = [/tex]
[tex]( \cos {}^{2} ( x ) ( \cot {}^{2} (x) )[/tex]
solve sinθ = √3(1-cosθ) where 0<=θ<=360
Answers
Answer:
I didn't understand your language bro its OPT question is wrong
Step-by-step explanation:
Actually ooo √3 is root
Simplify. Rewrite the expression in the form x^n (x^2)^{4}
Answers
Answer:
x^8
Step-by-step explanation:
(x^2)^{4}
We know a^b^c = a^(b*c)
x^(2*4)
x^8
Answer:
x^8 <33
Step-by-step explanation:
Which expression is equivalent to 15+3x
A) 3(5+x)
B) 5(3+x)
C) 3(5+3x)
D) 5(3+3x)
Answers
Answer:
3(5+x)
Step-by-step explanation:
15+3x
5*3 + 3*x
Factor out 3
3(5+x)
factorise the quadratic equation x square + 2 x + 36
Answers
Answer:
Click on the link below to view the answer with the explanation in futher detail
Explanation:
Click the attached link to view the answer
answer + explanation would be appreciated
Answers
Answer:
-2 + 2i
Step-by-step explanation:
[tex](1 + i)^{3}[/tex]
i = [tex]\sqrt{-1}[/tex]
[tex](1 + \sqrt{-1})^3[/tex]
[tex][(1 + \sqrt{-1})(1 + \sqrt{-1})] (1 + \sqrt{-1})[/tex]
distribute the first 2 expressions
(1 + 2[tex]\sqrt{-1}[/tex] - 1 ) [tex](1 + \sqrt{-1})[/tex]
distribute
1 + 2[tex]\sqrt{-1}[/tex] - 1 +
combine like terms
-2 + 2 [tex]\sqrt{-1}[/tex]
which is -2 + 2i
F is on the bisector of angle BCD. Find the length of FD (with lines over FD)
Answers
Answer:
8n-2 = 6n+9
2n-2 = 9
2n = 11
n = 5.5
So C is correct
Let me know if this helps!
4b + 5 = 1 + 5b
what is b?
Answers
Answer: b = 4
Step-by-step explanation:
Given
4b + 5 = 1 + 5b
Subtract 4b on both sides
4b + 5 - 4b = 1 + 5b - 4b
5 = 1 + b
Subtract 1 on both sides
5 - 1 = 1 + b - 1
[tex]\boxed{b=4}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
The $2200 was 44/73of the total value of the clothes sold in the shop on this day.
Calculate the total value of the clothes sold in the shop on this day.
Answers
Answer:
$1326
Step-by-step explanation:
please mark as brainlyest
The slope of two lines are - 3/2 and 18/a. Determine the value of α that will make the lines:
a) parallel
b) perpendicular
Answers
Answer:
a) a=-12
b) a=27
Step-by-step explanation:
a) parallel lines have = slopes SO
-3/2 = -3/2
-3/2 = 18/a
-3a/2 = 18
-3a = 18 * 2 = 36
a = -12
b) perpendicular lines have negative inverse slopes SO
- 3/2 ---> 2/3
2/3 = 18/a
2a/3 = 18
2a = 18 * 3 = 54
a = 54/2 = 27
