Answers
The value of the missing probability is:
P(A) = 1/5
So the correct option is D.
How to find the missing probability?First, we know that:
P(A∩B) = probability that events A and B are true = 3/100
And we also know that:
P(B|A) = probability that event B is true given that event A is true = 3/20
Here we have the rule:
P(A∩B) = P(B|A)*P(A)
Replacing the first two:
3/100 = (3/20)*P(A)
Solving for P(A), we get:
(3/100)*(20/3) = 1/5 = P(A).
So we conclude that the correct option for the missing probability is the one in option D.
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Related Questions
Find the number of terms of the geometric series 96 - 48 + 24 -....,-3/8 .
Answers
The number of terms in the geometric series is 9
How to determine the number of terms in the series?The geometric series given as:
96 - 48 + 24 -....,-3/8 .
Calculate the common ratio (r) as follows
r = T2/T1
Substitute the known values in the above equation
r = -48/96
Evaluate
r = -0.5
The number of terms is then calculated as:
Tn = a * r^n-1
Let n = 9
So, we have:
T9 = a * r^9
Substitute the known values in the above equation
T9 = 96 * (-0.5)^8
Evaluate the product
T9 = -3/8
Hence, the number of terms in the geometric series is 9
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Circle A has center of (2, 3) and a radius of 5, and circle B has a center of (1, 4) and a radius of 10. What steps will help show that circle A is similar to circle B? (5 points) Dilate circle A by a scale factor of 2. Translate circle A using the rule (x + 1, y − 1). Rotate circle A 180° about the center. Reflect circle A over the y-axis.
Answers
To prove the similarity between the two circles we must translate circle A by <- 1, 1> and dilate the figure by a factor of 2.
How to prove that two circles are similar
Herein we must prove that two circles are similar by taking advantage of two key characteristics: (i) Center, (ii) Radius. Based on such facts, we must apply the following rigid transformation:
Translating the circle from A to B.Enlarging the circle A by a dilation factor.Step 1 - Traslating the circle from A to B: Translation vector - (- 1, 1).
(x, y) = (2, 3) + (- 1, 1)
(x, y) = (1, 4)
Step 2 - Dilate the circle by a factor of 2.
r = 2 · 5
r = 10
To prove the similarity between the two circles we must translate circle A by <- 1, 1> and dilate the figure by a factor of 2.
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Which situation will likely have no correlation?
Answers
B. number of dogs owned versus number of plane tickets bought
A density graph for all the possible heights between 0 inches and 80 inches is
rectangular. What is the height of the rectangle in this density graph?
OA. 0.04
B. 0.025
C. 0.05
D. 0.0125
Answers
The length is 80
80 * height = 1
Height = 1 / 80
Height = 0.0125 (D)
△A ′ B ′ C ′ triangle, A, prime, B, prime, C, prime is the image of △ A B C △ABCtriangle, A, B, C under a rotation about point B BB. A A C C A ′ A ′ C ′ C ′ B B Determine the angles of rotation. Choose all answers that apply:
Answers
The rotation of the triangle that's illustrated will be a rotation of 90°.
How to illustrate the information?It should be noted that transformation is a general term for 4 specific ways that can be used to manipulate the shape and the position of a point, line, or a geometric figure. In such a case, the original shape of the object is called the pre-Image while the final shape and the position of the object is simply the image under transformation.
There are typically four common types of transformations and they're translation, rotation, reflection, as well as dilation. It should be noted that rotation about simply illustrates the transformation that takes place regarding the triangle.
For rotation, the shape rotates or turns the pre-image around the axis and there'll be no change in the size or shape of the object.
Here, the counterclockwise rotation was illustrated in the triangle ABC. Therefore, the rotation of the triangle that's illustrated will be a rotation of 90°.
In conclusion, based on the information given, the correct option is A.
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Complete question:
Triangle ABCTriangle ABC is rotated to form △A'B'C' .
The coordinates of point A are (1, 1) , the coordinates of point B are (3, 1) , and the coordinates of point C are (1, 4) .
Which countr clockwise rotation around the origin results in the transformation of △ABC to △A'B'C' ?
Select from the drop down arrow to choose the correct rotation.
(a) rotation of 90
(b) rotation of 180
(c) rotation of 360
35*71+71*65+51*23+23+49
Answers
Answer:
35x71+71x65+51x23+23+49=8,345
Step-by-step explanation:
Answer:
8345
Is the correct answer
Step-by-step explanation:
hope it will help you
Does anybody know this? The quotient of -45 and -5 is
Answers
Identify a possible explicit rule for the nth term of the sequence 2, 8, 26, 80, 242.
Answers
The explicit rule for the nth term of the sequence is an = (an-1)*3 +2.
According to the given statement
we have to find the explicit rule for the nth term of the given sequence,.
So, For this purpose
The given sequence is :
2, 8, 26, 80, 242.
And according to the ap series formula
[tex]a_{n} = (a_{n-1} -1)*3 +2[/tex]
If we put the terms in it then we get the exact value as the value in the sequence.
So,
[tex]a_{n} = (a_{n-1} -1)*3 +2[/tex]
For [tex]a_{2}[/tex]
[tex]a_{2}[/tex] [tex]= a_{1} *3 +2[/tex]
[tex]a_{2}[/tex] [tex]= 2*3 + 2[/tex]
[tex]a_{2}[/tex] [tex]= 8[/tex]
and by this way we get all the values as same as the sequence.
So, The explicit rule for the nth term of the sequence is an = (an-1)*3 +2.
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list all the 3-digit numbers that can be created by rearranging these number tiles. 6 7 2
Answers
Answer:
627
267
276
762
726
and the no. itself, 672
how do i solve this question, anyone help
Answers
Answer:
a.[tex]\sqrt{52}[/tex]cm or 7.21cm
b.[tex]\sqrt{170}[/tex]cm or 13.04cm
c. x= [tex]\sqrt{136}[/tex]cm or 11.66cm, y=[tex]\sqrt{191}[/tex]cm or 13.82cm
Step-by-step explanation:
a. You have to find the length of the other two sides of the triangle using the information already given. The first side is 6cm and the other is 12-9=4cm. Because it's a right-angled triangle you can use pythagoras
[tex]c^2=a^2+b^2\\x^2=6^2+4^2\\x^2=36+16\\x^2=52\\x=\sqrt{52}cm \\x=7.21cm[/tex]
b. You can use pythagoras again because it's a right-angle triangle
[tex]x^{2} =7^2+11^2\\x^2=170\\x=\sqrt{170} cm\\ = 13.04cm[/tex]
c. In this question you have to find x and y. We need to find x first using pythagoras
[tex]x^2=6^2+10^2\\x^2=136\\x=\sqrt{136}cm \\=11.66cm[/tex]
Now that we've found x we can find y using pythagoras but instead of find c, we will find another side
[tex]c^2=a^2+b^2\\19^2=\sqrt{170} ^2 + b^2\\361=170+b^2\\361-170=170+b^2-170\\191=b^2\\b=\sqrt{191}cm \\=13.82cm[/tex]
Hope this helps :)
On a zip-line course, you are harnessed to a
cable that travels through the treetops. You
start at platform A and zip to each of the other
platforms. How far do you travel from Platform
B to Platform C?
Answers
Using the distance between two points, it is found that you travel approximately 41 meters.
What is the distance between two points?Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this problem, we have that:
The coordinates of B are (-25,-25).The coordinates of C are (-15,15).Hence the distance is:
D = sqrt[(-15 - (-25))² + (15 - (-25))²] = sqrt(10² + 40²) = 41 meters.
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someone help me out pleaseee
Answers
Answer:
[tex] \frac{29}{18} = 1 \frac{11}{18} [/tex]
Step-by-step explanation:
To solve this question, we definitely need to make w the subject.
[tex]w - \frac{5}{6} = \frac{7}{9} \\ w - \frac{5}{6} + \frac{5}{6} = \frac{7}{9} + \frac{5}{6} \\ w = \frac{29}{18} \\ = 1 \frac{11}{18} [/tex]
Write an equation of the line that passes through the point (5, -8) with slope 5
Answers
[tex]\Large\texttt{Answer}[/tex]
[tex]equation=[/tex][tex]\bold{y=5x-33}[/tex]
[tex]\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}[/tex]
[tex]\Large\texttt{Process}[/tex]
⇨ Use the formula below
[tex]\bf{y-\hfill\stackrel{y \:co-ordinate}{y1}=\hfill\stackrel{slope}{m}(x-\hfill\stackrel{x\:co-ordinate}{x1)}}[/tex]
⇨ Substitute the parameters:
[tex]\bold{y-(-8)=5(x-5)}[/tex]
[tex]\bold{y+8=5x-25}[/tex]
[tex]\bold{y=5x-33}[/tex]
Hope that helped
Make a list of 4 different numbers whose average works up to 50
Answers
The 4 numbers must be different and added up and divided by 4 must equal 50.
Four such numbers are 10, 30, 70, 90
We all know that Average = Sum / total of numbers in sum
Addition of these different 4 numbers = 200.
Average = 200 / 4 = 50, the required average.
Problem solved!
Solve the que in the given picture!
Answers
Answer:
a) 20
Step-by-step explanation:
when we have an exponent of an exponent, we simply multiply them for the overall exponent.
so, we actually have
a^((1/4)×12) × b^((1/3)×12) = a³b⁴ = 5000
let's find the prime factors of 5000 :
5000 ÷ 2 = 2500
2500 ÷ 2 = 1250
1250 ÷ 2 = 625
625 ÷ 3 no
625 ÷ 5 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
so,
5000 = 2³ × 5⁴
so, a = 2, b = 5
a²b = 2²×5 = 4×5 = 20
There are 360 girls and 135 boys in a school. What is the ratio of girls to boys expressed in the lowest terms?
Answers
Answer: 8:3
Step-by-step explanation:
360:135
We can simplify both, dividing both of them by a common divisor (45)
360/45= 8
135/45= 3
The ratio in lowest terms is 8:3
the ratio of girls to boys in the school, expressed in the lowest terms, is 8:3.
To find the ratio of girls to boys in the school, we divide the number of girls by the number of boys.
Ratio of girls to boys = Number of girls / Number of boys
Ratio of girls to boys = 360 / 135
To express the ratio in the lowest terms, we can simplify the fraction by finding the greatest common divisor (GCD) of 360 and 135 and then dividing both the numerator and denominator by the GCD.
The GCD of 360 and 135 is 45.
Ratio of girls to boys = (360 / 45) / (135 / 45)
Ratio of girls to boys = 8 / 3
So, the ratio of girls to boys in the school, expressed in the lowest terms, is 8:3. This means that there are 8 girls for every 3 boys in the school.
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What is the greatest possible error if bruce measured a buckle as 3.2 cm using the ruler? what is the greatest possible error? 0.5 0.05 0.005 0.0005
Answers
Answer:
I believe it's 5.0
Step-by-step explanation:
I believe so if its not I'm sorry
In the circle below, O is the center, MP is a diameter, and m angle M O L equals 45 degrees. Find the measure of L N M.
Answers
Check the picture below.
Find where the sequence converges
Answers
Answer: [tex]\\ \lim\limits_{k \to \infty} (1+\frac{4}{k})^k =e^4.[/tex]
Step-by-step explanation:
[tex]\displaystyle\\ \lim_{k \to \infty} (1+\frac{4}{k})^k \\x=\frac{x}{4} *4\\So,\ \lim_{k \to \infty} (1+\frac{4}{k})^\frac{k}{4}*4 \\ \lim_{k \to \infty} ((1+\frac{4}{k})^\frac{k}{4} )^4.\\Use\ the\ second\ wonderful\ limit:\\\boxed { \lim_{x \to \infty} (1+\frac{1}{x})^x=e },\\\\So,\\ \lim_{k \to \infty} (1+\frac{4}{k})^k =e^4.[/tex]
We can also apply l'Hôpital's rule by first rewriting the limit as
[tex]\displaystyle \lim_{k\to\infty} \left(1 + \frac4k\right)^k = \lim_{k\to\infty} \exp\left(\ln \left(1 + \frac4k\right)^k\right) = \exp\left(\lim_{k\to\infty} \frac{\ln\left(1+\frac4k\right)}{\frac1k}\right)[/tex]
Applying the rule gives
[tex]\displaystyle \lim_{k\to\infty} \frac{\ln\left(1+\frac4k\right)}{\frac1k} = \lim_{k\to\infty} \frac{\left(-\frac4{k^2}\right)/\left(1+\frac4k\right)}{-\frac1{k^2}} = 4 \lim_{k\to\infty} \frac1{1 + 4k} = 4[/tex]
so that the overall limit is
[tex]\displaystyle \lim_{k\to\infty} \left(1 + \frac4k\right)^k = \lim_{k\to\infty} \exp(4) = \boxed{e^4}[/tex]
Select the correct answer.
What is the value of this expression if h = 8. j = -1, and k = -12? J3k/h0
A. 36
B. 12
C.-12
D. 3/4
Answers
The value of equation which is given is 12.
According to the Statement
we have given the expression and the some values and we have to find the values of the expression after put the given values in it.
So,The given values are:
h = 8. j = -1, and k = -12
And the given equation expression are J³k/h⁰
Now Substitute the value in the expression then
J³k/h⁰
After putting the values the expression become
(-1)³-12/8⁰
(-1)(-12)/1
After solving the value become
12/1
12.
now the value of expression become is the 12 after put all the values in it.
So, The value of equation which is given is 12.
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13. The average age of a high school freshman is 14.5. How many days old is the average high
school freshman?
Answers
Answer:
5296.125 days
Step-by-step explanation:
1 year = 365.25 days
14.5 years × 365.25 days/year = 5296.125 days
What is the difference of the fractions? Use the number line and equivalent fractions to help find the answer. Negative 2 and one-half minus (negative 1 and three-fourths) A number line going from negative 3 to 0 in increments of One-fourth. Negative 4 and one-fourth –4 Negative three-fourths Negative one-half
Answers
The difference of the fraction is 2/3 or two-thirds
Difference of fractionsFractions are written as a ratio of two integers. They are written in the form a/b
Given the following expression
Negative 2 and one-half minus (negative 1 and three-fourths)
This can also be written as;
-2 1/2 - (-1 3/4)
Convert mixed to improper to have;
-5/2 + 7/4
Swap to have;
7/4 - 5/3
Find the LCM
3(7)-4(5)/12
21-20/12
8/12
Write in its simplest form
8/12 = 2/3
Hence the difference of the fraction is 2/3 or two-thirds
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Answer:
2
Step-by-step explanation:
because -3/4 + 2 3/4= 2
Find the Perimeter of the figure below, composed of a parallelogram and one
semicircle. Rounded to the nearest tenths place
4
14
Answers
The perimeter of the figure to the nearest tenth is 44.6 units
Perimeter of a figure?The perimeter of a figure is the sum of the whole sides.
Therefore,
A parallelogram has opposite sides equal to each other.
Therefore, the perimeter of the figure is as follows;
The figure combines a parallelogram and a semi circle.
Therefore,
perimeter of the figure = 4 + 14 + 14 + πr
perimeter of the figure = 32 + 3.14 × 4
perimeter of the figure = 32 + 12.56
perimeter of the figure = 44.56
perimeter of the figure ≈ 44.6 units
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Alvin and Bala had 26 stickers. Alvin had 8 more stickers than Bala. How many
stickers did Bala have?
Answers
Answer:
Bala has 5 stickers
( please mark me as brainliest )
Step-by-step explanation:
total stickers = 26
= 26/2
=13
stickers Alvin had more = 8
=13 + 8
= 21
= 26 - 21
= 5
.. . Bala has 5 stickersa basketball player signs a cantract that pays him $16 million over 4 year. What is his average pay per year?
Answers
the average pay per year is $4 million
Answer:
The average is 4millon
Step-by-step explanation:
because 16 millon divide by 4 =4
ez
Alexa is a basketball player at East High. At a recent game, she made some three point shots and some two point shots. Alexa scored a total of 18 points and made 3 times as many two point shots as three point shots. Determine the number of three point shots Alexa made and the number of two point shots she made.
Answers
Answer:
6 2 point shots 2 3 points
Step-by-step explanation:
3 two point shot 1 3 point shot = 9
6 two point shot 2 3 point shot =18
What's the perimeter or how do you find it?
Answers
The perimeter of inside of the track is 536.44m
Perimeter of a circle and rectangleThe perimeter of a circle is also known as the circumference of the circle. The formula for calculating the circumference is expressed as:
C = 2πr
where
r is the radius
From the given diagram
r = 46/2 = 23m
C = 2(3.14)(23)
C = 144.44m
Find the perimeter of the rectangle
P = 2(l+w)
p = 2(46+150)
P = 2(196)
P =392m
The perimeter of the inside track = 144.44 + 392
The perimeter of the inside track = 536.44m
Hence the perimeter of inside of the track is 536.44m
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A bag with 6 marbles has 2 yellow marbles, 1 blue marble, and 3 red marbles. A marble is chosen from the bag at random. What is the probability that is yellow?
Answers
Answer:
P = 1/3
P = 0.333
Step-by-step explanation:
There are 6 marbles in the pack, two of them are yellow.
[tex]P=\frac{2}{6} =\frac{1}{3}[/tex]
Hope this helps
Write the equation of the line shown
Answers
Answer:
y = [tex]\frac{1}{2}[/tex] x + 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 1) ← 2 points on the line
m = [tex]\frac{1-0}{0-(-2)}[/tex] = [tex]\frac{1}{0+2}[/tex] = [tex]\frac{1}{2}[/tex]
the line crosses the y- axis at (0, 1 ) ⇒ c = 1
y = [tex]\frac{1}{2}[/tex] x + 1 ← equation of line
The straight line equation is :
[tex]\boxed {y = mx + c}[/tex]
Here, c = 1 as it intersects (0, 1) on the y-axis.
The slope is :
m = 1 ÷ 2m = 0.5Hence, the equation will be :
y = 0.5x + 1
I hope it helped you solve the problem.
Good luck in your studies!
c= 6x+100 and c=10x+80
what number does x have to be for c to be the same on each equation?
Answers
Answer:
x= 5 , for c to be same on each eqn
