Answer:
p(b|a) =5/7
Step-by-step explanation:
hello :
note : p(b|a) = p(a and b)/p(a)
p(b|a) = 25/35 =5/7
The value of the probability of the event B given A, symbolically P(B|A), when it is known that P(A) = 0.35, P(B) = 0.45 and P(A∩ B) =0.25 is found as: P(B|A) = 5/7
What is chain rule in probability?For two events A and B, by chain rule, we have:
[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(B|A)[/tex]
where P(A|B) is probability of occurrence of A given that B already occurred.
We're given that:
P(A) = 0.35P(B) = 0.45P(A and B) = P(A ∩ B) = 0.25P(B|A) = to be known.Using the chain rule of probability, we get:
[tex]P(A \cap B) = P(A)P(B|A) \\\\P(B|A) = \dfrac{P(A \cap B)}{P(A)} = \dfrac{0.25}{0.35} = \dfrac{5}{7}[/tex]
Thus, the value of the probability of the event B given A, symbolically P(B|A), when it is known that P(A) = 0.35, P(B) = 0.45 and P(A∩ B) =0.25 is found as: P(B|A) = 5/7
Learn more about chain rule here:
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What is 3/20 as a decimal?
Answer: 0.15
Step-by-step explanation:
Answer:
0.15
Step-by-step explanation:
3/20=15% so that means its 0.15
Mrs. smith has 5 times as many markers and colored pencils is 54.How many markers does mrs. smith have
Answer:
The answer is 270
Step-by-step explanation:
5×54=270
7. What is the length of SW?
Answer:
SW = 130
Step-by-step explanation:
[tex]2(2x+5)=5x-20[/tex]
This is what the equation should be because this is a rectangle.
[tex]4x+10=5x-20[/tex]
Once you finish simplifying, move the numbers and variables over to get this.
[tex]x=30[/tex]
Then do multiplication and addition to get 130.
Sonia uses a 20% off coupon when she order from Uber eats original price of the order is $50 how much money does Sonya save
Answer:
she saves $40
Step-by-step explanation:
first of all, you find 20% of $50, that is,
(20/100) * $50
then you get: $10
next step is to subtract this answer from the $50, that is: $50 - $10 = $40
have a great day!!
We get the amount of price removed as a result of free coupon as below:
[tex] \frac{20}{100 } \times 50 = \frac{1000}{100} = 10 \\ coupon = 10dollars[/tex]
Therefore, Sonya saved $10
Anyone please help me
Answer:
3
Step-by-step explanation:
these are 2 similar triangles (all 3 pairs of corresponding angles are equal in their pair, and the lengths of corresponding sides have the same ratio in every pair of corresponding sides and other lengths).
and they are also right-angled triangles.
so, what else do we know about them ?
PQ = 18
RT = 6
ST = QT + 9
therefore
QT = ST - 9
and
QR = QT + RT = ST - 9 + 6 = ST - 3
due to the principles of cumulative triangles
PQ/ST = QR/RT = 18/ST = (ST - 3)/6
108/ST = (ST - 3)
108 = (ST - 3)ST = ST² - 3ST
ST² - 3ST - 108 = 0
we can the write
x² - 3x - 108 = 0
and the solution for such a squared equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -3
c = -108
x = (3 ± sqrt(9 - 4×1×-108))/2 = (3 ± sqrt(441))/2 =
= (3 ± 21)/2
x1 = (3+21)/2 = 24/2 = 12
x2 = (3-21)/2 = -18/2 = -9
a negative solution for real lengths is not valid, so we know
x = ST = 12
so,
QR = ST - 3 = 12 - 3 = 9
and then
QT = QR - RT = 9 - 6 = 3
What is the diameter of a sphere with a volume of 397 m 3 to the nearest tenth of a meter?
The diameter of a sphere with a volume of 397 meter cube to the nearest tenth of a meter is 9.1 meters
Volume of a spherevolume of a sphere = 4 / 3 πr³
where
r = radius of the sphereTherefore,
volume = 397m³
Diameter = radius × 2
Hence,
volume of a sphere = 4 / 3 πr³
volume of a sphere = 4 / 3 × 3.14 × r³
397 = 12.56 / 3 r³
cross multiply
397 × 3 = 12.56 r³
1191 = 12.56 r³
divide both sides by 12.56
r³ = 1191 / 12.56
r = ∛94.8248407643
r = 4.56009658
Hence,
diameter = 4.56009658 × 2 = 9.12 = 9.1 meters
learn more on sphere here: https://brainly.com/question/3008257
Solve for X. Leave your answer in the simplest radical form.
Image down below!
Someone please help me with this, I’ll give you brainlist and points!
Answer:
√20 which can be written as 2√5
Please help math.......100pts
Answer:
8000Step-by-step explanation:
Solve as requested in the question, round each number:
3008 ≈ 30005243 ≈ 5000The sum is:
3000 + 5000 = 8000Answer:
8000
Step-by-step explanation:
3008 rounded to nearest thousand: 30005243 rounded to nearest thousand: 5000⇒ 3008 + 5243 ≈ 3000 + 5000
⇒ 3000 + 5000 = 8000
Raegan mows two lawns, The first lawn is 5 meters long and 4 meters wide. The area of the second lawn is 2 times as big but has the same width as the first, what is the length of the second lawn
By solving a simple linear equation, we conclude that the length of the second lawn is 10 meters.
What is the length of the second lawn?We know that one of the lawns is 5 meters long and 4 meters wide, then its area is:
A = 4m*5m = 20m^2
The other is two times as big, so its area is 40m^2 and has the same width as the first one (4 meters), so if we define the length as L we can write:
40m^2 = 4m*L
Solving for L we get:
(40 m^2)/4m = L = 10m
The length is 10 meters.
If you want to learn more about area, you can read:
https://brainly.com/question/24487155
7. An arched window has dimensions as
shown at the right. Consider the top of the
window to be a semicircle. How much plastic
covering is needed to cover the window,
following the outline of the window?
The amount of plastic covering needed to cover the window is 25.71.
How much plastic covering is needed?The window consists of a semi circle and a rectangle. The circumference and the perimeter of the semi circle and a rectangle has to be determined.
Circumference of the semi circle = 1/2πd + d
Where:
π = 3.14
d = diameter = 3
1/2 x 3.14 x 3 + 3 = 7.71
Perimeter of the rectangle = 2(length + width)
2x (6 + 3) = 18
18 + 7.71 = 25.71
Please find attached an image of the window. To learn more about the perimeter of a rectangle, please check: https://brainly.com/question/3205029
Pls help ill give 15 brainliest and 5 starts question is down below
Answer:
Area of right angle triangle is axb/2
3x4/2 = 6 sq. Cm
Area of parallelogram = bxh
20x21.5 = 430 in2
Answer:
Area of the triangle: 6 cm
Area of the parallelogram: 430 in²
Step-by-step explanation:
Area of a triangle formula is base * height * 1/2, in this case 4 * 3 * 1/2, which equals 6.
Area of a parallelogram formula is base * height, in this case 21.5 * 20 which equals 430.
Help me plssss someone I've been stuck on this question for a while now ;(
Answer:
4000 meters
Step-by-step explanation:
Shortest run was 5 laps (2000 meters), and longest was 15 (6,000 meters)
What is the volume of a rectangular prism with a length of 7 centimeters, a width of 3 centimeters, and a height of 2 centimeters?
Enter your answer in the box.
V = cm³
Answer:
42cm³
Step-by-step explanation:
7*2*3=42
7*2=14
14*3=42
42
1 of 39 men is chosen at random. 27 men passed the test. 12 men failed. What is the probability that the man failed his test
Answer:
30.7%, 0.3, or 4/13
Step-by-step explanation:
The correct procedure for this problem is:
The number of men that passed the test and the number of men should be located as the numerator and denominator of the fractional number.12/39 is our fraction, which we can reduce to 4/13We can change it to a percent and a decimal, which would be 30.7% and 0.3.What is the value of w?
w
36°
Answer: you literally said it yourself. its 36°
Step-by-step explanation:
which of the following is not a pythagorean triple
(5,12,13)
(8, 15 17)
(5, 8, 9)
(6, 8, 10)
Answer:
C. (5, 8, 9)
Step-by-step explanation:
Put the triples into the Pythagorean Theorem and see if they come out true.
a² + b² = c²
5² + 12² = 13²
25 + 144 = 169
169 = 169
5, 12, and 13 are a Pythagorean Triple.
a² + b² + c²
8² + 15² = 17²
64 + 225 = 289
289 = 289
8, 15, and 17 are a Pythagorean Triple.
a² + b² = c²
5² + 8² = 9²
25 + 64 = 81
89 ≠ 81
5, 8, and 9 are NOT a Pythagorean Triple.
a² + b² = c²
6² + 8² = 10²
36 + 64 = 100
100 = 100
6, 8, and 10 are a Pythagorean Triple.
I need help on this problem, i checked some that I think might be right, could I get some help on it?
Answer:
You are right
Step-by-step explanation:
Question 3 (1 point)
Which is the explicit rule for the geometric sequence?
10, -30, 90, -270, ...
Answer:
The rule for this question should be an=10*(-3)^(n-1)
Step-by-step explanation:
Because 10, -30, 90, and -270 divide (for example -30/10, 90/-30 and -270/90 which means the ratio equals -3) To find the ratio, you must divide by its previous term.
Then, the equation for the ratio would be a1 (first term in the sequence) multiplied by the ratio, then to the power of the number subtracted by 1. an=a1*r^(n-1) This is the formula to find the nth term of a geometric sequence.
Hope this helped!
Help please…………………….
Answer:
get better maybe
Step-by-step explanation:
just pay attention in class
Please assist. No links
Answer:
(B) is the answer of your question
I have to turn a bunch of these questions tomorrow so pleade help
Answer:
21,42/2,-(42/-2)
Step-by-step explanation:
please mark me as brainlest
Find the surface area of the figure. Round to the nearest tenth if possible.
Question 11 . 2 p Brent is considering buying a new circular track for his model train. He estimates that the model's circumference is about 3 times the measure of the circle's diameter. With this information, Brent could derive the value of OT O length O width area Previous Next > No new data to save. Last checked at 9:51am Submit
Brent estimates that the model's circumference is about 3 times the measure of the circle's diameter, with this, he can estimate the area.
What is a circle?A circle is the locus of a point, such that the distance from a fixed point (center) is always constant.
The circumference of a circle is given by:
Circumference = π * diameter
Brent estimates that the model's circumference is about 3 times the measure of the circle's diameter, with this, he can estimate the area.
Find out more on circle at: https://brainly.com/question/24375372
solve pls brainliest
Answer: 200 students gave their speeches.
Explanation;
240 ÷ 6 = 40
40 x 5 = 200
Please someoene help me I am so confused
WILL GIVE BRAINLIEST
Answer: 42.0
Step-by-step explanation:
The monthly rent for an 800 square foot office is $975. For an 1100 square foot office the rent is $1125 Write and solve a linear equation to find out the rent for a 1500 square foot office
Multiplying Polynomials
Let's see
Area
[tex]\\ \rm\rightarrowtail \dfrac{1}{2}\times Base\times Height [/tex]
[tex]\\ \rm\rightarrowtail \dfrac{1}{2}(6xy^5)(4x^2y)[/tex]
[tex]\\ \rm\rightarrowtail 3xy^5(4x^2y)[/tex]
[tex]\\ \rm\rightarrowtail 12x^3y^6[/tex]
[tex]\text{Area of triangle} = \dfrac 12 \times \text{Height} \times \text{Base} \\\\~~~~~~~~~~~~~~~~~~~~~~=\dfrac 12 \cdot 6xy^5\cdot 4x^2y\\\\~~~~~~~~~~~~~~~~~~~~~~=12x^3y^6 ~ \text{units}^2[/tex]
Two friends share a protein bar which weighs 7 ounces. Each friend eats the same amount of the protein bar. Between which two
whole numbers does the number of ounces of the protein bar that each friend eats lie?
HELP
Sorry but no speek English
Answer:
3 and 4
Step-by-step explanation:
3.5 ounces is 7/2 so if they eat the same amount they would both eat 3.5 ounces.
Given the function h of x equals 3 times the square root of x, which statement is true about h(x)?
The function is decreasing on the interval (–∞, 0).
The function is increasing on the interval (–∞, 0).
The function is decreasing on the interval (0, ∞).
The function is
The true statement about h(x) is: The function is increasing on the interval [0, ∞).
Linear FunctionA linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:
a= the slope.If:
a> 0 , the function is increasing;
a< 0 , the function is decreasing;
b=the constant term that represents the y-intercept.
Domain and RangeThe domain of a function is the set of input values for which the function is real and defined. In other words, when you define the domain, you are indicating for which values x the function is real and defined.
While the domain is related to the values of x, the range is related to the possible values of y that the function can have.
You should convert the text of the question into a math expression.
[tex]h(x)=3*\sqrt{x}[/tex]
Like the coefficient a is greater than zero (a>0), the function is increasing.
The equation has a square root, so, the values of x can not present negative values. Therefore, x≥0. Consequently, the values of y (range) for this function will be greater than or equal to zero (y≥0). See the attached image.
The range is:
[tex]{Solution:}\:&\:f\left(x\right)\ge \:0\:\\Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]
Learn more about the range and the domain here:
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HELP PLEASE! A survey asked 200 campers to choose their favorite activity. The results are displayed in this circle graph.
How many campers chose basketball as their favorite activity?
26 campers
36 campers
44 campers
58 campers
Answer:
44 campers chose basketball