Using conditional probability, the equation that implies that a and b are independent events is P(B|A) = P(B).
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.If A and B are independent events, we have that:
[tex]P(A \cap B) = P(A)P(B)[/tex].
Then, at the conditional formula:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)P(B)}{P(A)} = P(B)[/tex]
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Answer:
P(B/A)=(A)
Step-by-step explanation:
trust me
Complete the table by giving the length and area for each
width. (The width is the side perpendicular to the building.)
width (feet) length (feet)
area (square feet)
10
30
40
W
of the play area
The values of length are 100, 60, and 40 feet respectively, area of the rectangle 1000 square feet, 1800 square feet, and 1600 square feet respectively.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
We know the perimeter of the rectangle = 2(w+l)
The sum of w+w+l = 120 (given)
2w + l = 120
From the above equation, we can calculate the l of the rectangle:
We have w = 10 feet
l = 100 feet
Area = 10×100 = 1000 square feet
When w = 30
l = 60 feet
Area = 60×30 = 1800 square feet
When w = 40
l = 40 feet
Area = 40×40 = 1600 square feet
Thus, the values of length are 100, 60, and 40 feet respectively, area of the rectangle 1000 square feet, 1800 square feet, and 1600 square feet respectively.
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Select the equation of the line in slope-intercept form: 4x + 9y = 36
Answer:
y= -4x/9+4
Step-by-step explanation:
4x+9y=36 (move 4x)
9y=-4x+36 (divide by 9)
y= -4/9x+36/9
y= -4x/9+4
answer these two questions asap!!
Answer:
Step-by-step explanation:
45 cm times 20 cm you find by by mutiply and divide
Can someone help please
Answer:
The answer is 2 -option b
Answer:
B) 2
6²(6 × 6) = 36
Name the property used in the equation 1=6n. Then find the value of n.
Answer:
1=6
Step-by-step explanation:
Divide both sides of the equation by the same term
1=6
Which expression is equivalent to startfraction 4 f squared over 3 endfraction divided by startfraction 1 over 4 f endfraction? startfraction 16 f cubed over 3 endfraction startfraction f over 3 endfraction startfraction 3 over 16 f cubed endfraction startfraction 3 over f endfraction
The value of the quotient expression [tex]\frac{4f^2}{3} \div \frac{1}{4f}[/tex] is [tex]\frac{16f^3}{3}[/tex]
What is quotient?The quotient of numbers or expressions is the division of a number or expression by another
How to determine the equivalent expression?The expression is given as:
[tex]\frac{4f^2}{3} \div \frac{1}{4f}[/tex]
Rewrite as a product expression
[tex]\frac{4f^2}{3} \times \frac{4f}{1}[/tex]
Evaluate the product of 3 and 1
[tex]\frac{4f^2}{3} \times 4f[/tex]
Evaluate the product of 4f^2 and 4f
[tex]\frac{16f^3}{3}[/tex]
Hence, the value of the quotient expression [tex]\frac{4f^2}{3} \div \frac{1}{4f}[/tex] is [tex]\frac{16f^3}{3}[/tex]
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Answer:
its A
Step-by-step explanation:
On edge its the first answer
Four seventh-grade students won awards. In how many different ways could the students sit with a partner during awards ceremony?
The number of the different ways could the students sit with a partner during the awards ceremony will be 24.
What are permutation and combination?A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
Four seventh-grade students won awards.
Then the number of the different ways could the students sit with a partner during the awards ceremony will be
P = 4!
P = 4 x 3 x 2 x 1
P = 24
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Solve the equation on the
interval [0, 2π).
5 cos x - √3 = 3 cos x
Answer:
[tex]\displaystyle x=\biggr\{\frac{\pi}{6},\frac{11\pi}{6}\biggr\}[/tex]
Step-by-step explanation:
[tex]\displaystyle 5\cos x-\sqrt{3}=3\cos x;\:0\leq x < 2\pi\\\\5-\frac{\sqrt{3}}{\cos x}=3\\ \\-\sqrt{3}\sec x=-2\\\\\sec x=\frac{2}{\sqrt{3}}\\\\\sec x=\frac{2\sqrt{3}}{3}\\ \\\cos x=\frac{3}{2\sqrt{3}}\\ \\\cos x=\frac{3\sqrt{3}}{6}\\ \\\cos x=\frac{\sqrt{3}}{2}\\\\x=\biggr\{\frac{\pi}{6},\frac{11\pi}{6}\biggr\}[/tex]
(3,7), (1,8)
find the distance between each pair of points
Answer:
[tex]\sqrt{241}[/tex]
Step-by-step explanation:
3+1=4
7+8=15
4^2=16
15^2=225
16+225=241
[tex]\sqrt{241}[/tex]
Which of the following equations is not a linear equation?
x + y = 4
B. 2x – y = 1
C. x 3=2
D. y = 4
Answer:
C
Step-by-step explanation:
A linear equation consists of Ax+By=C
That is the only one without that kinda format
Answer:
The Answer Is C
Step-by-step explanation:
Complete the sequence.
1/2,3/5,5/8,7/11, ___ , ____
(will mark brainliest)
Answer:
1/2,3/5,5/8,7/11,9/14,11/17
Explanation:
Each time, the numerator of the fraction goes up by 2 and the denominator goes up by 3.
Answer:
9/14, 11/17
Step-by-step explanation:
The pattern observed is :
Numerator increases by 2Denominator increases by 3Hence, the next 2 terms are :
9/14, 11/17A graph of f(x) = 6x2 + 7x – 3 is shown on the grid.
What are the zeros of f ?
Answer:
Option d
Step-by-step explanation:
The zeroes of given function can be obtained from graph when the graph intersects at x axis
What is the area of the shaded region? (25π – 48) cm2 (25π – 30) cm2 (25π – 24) cm2 (25π – 12) cm2
The area of the shaded region or portion in the circle is (25π - 24) cm².
How to find the area of the shaded portion in the circle?The area of the shaded portion in the circle is found by subtracting the area of the two triangles from the area of the circle.
Therefore,
area of the circle = πr²
where
r = radiusarea of a triangle = 1/ 2 bh
where
b = baseh = heightTherefore,
r = 5 cm
area of circle = 5²π = 25π cm
area of one triangle = 1 / 2 × 6 × 4 = 12 cm²
The area of the two triangles = 2(12) = 24 cm²
Hence,
area of the shaded portion = (25π - 24) cm²
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You flip a coin and you roll a standard 6 sided number die. What is the probability that your flip heads and roll a number less than 3?
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
p(H and <3)= [tex]\frac{1}{2}[/tex]×[tex]\frac{2}{6}[/tex]
= [tex]\frac{1}{6}[/tex]
Based on this deck of 46 cards, which event has a probability of 2746?
a. P(not Star)
b. P(Circle or Rectangle)
c. P(not Diamond)
d. P(Rectangle)
Answer:
B
Explanation:
There are 19 rectangles and 8 circles
19
+8
27 so it would be 27/47
Susie needs to cover her triangular garden with new top soil. Her garden has a base of 7 ft and a height of 10 ft. A bag of soil will cover 5 square feet. How many bags will she need?
Question 7 options:
70 bags of soil
35 bags of soil
12 bags of soil
7 bags of soil
If 1 bag of soil will covers 5 square feet, the number of bags of soil that will cover Susie's 35 square feet triangular garden is 7 bags.
Option D) is the correct answer.
How many bags will Susie need?Area of a triangle is expressed as half base multiply by height.
A = (1/2)base × height
Given that;
Base of the triangular garden = 7ftHeight = 10ftArea of the triangular garden A = ?A = (1/2)base × height
A = (1/2) × 7ft × 10ft
Area of the triangular garden A = 35ft²
Now, if 1 bag of soil covers 5 square feet. how many will cover 35 square feet?
1 bag covers 5ft²
x bags covers 35ft²
x = 35 / 5
x = 7 bags
Therefore, if 1 bag of soil will covers 5 square feet, the number of bags of soil that will cover Susie's 35 square feet triangular garden is 7 bags.
Option D) is the correct answer.
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Talia gave her hairdresser a 20 percent tip, which amounted to $7.
Percents
Total
100%
What was the price of the service before the tip?
The price of the service before the tip will be equal to $35.
What is the percentage?
The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
Talia gave her hairdresser a 20 per cent tip, which amounted to $7The total price of the service will be calculated as:-
20% = $7
10% = 7/2
100% = 10 x 7/2
100% = $35
Therefore the price of the service before the tip will be equal to $35.
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A line segment has endpoints of (-2,6) and
(-4,-9). What is the midpoint of the line
segment?
Answer:
(-3, -1.5)
Step-by-step explanation:
Given:
Endpoint₁: (-2, 6)Endpoint₂: (-4, -9)[tex]\boxed{\text{Midpoint of a line segment:} \ \huge\text(\dfrac{x_1 + x_2}{2} ,\dfrac{y_1 + y_2}{2} \text)}[/tex]
Substitute the endpoints of the line segment in the midpoint:
[tex]\implies \huge\text[\dfrac{-2 + (-4)}{2} ,\dfrac{6 + (-9)}{2} \text][/tex]
Simplify the coordinates in the midpoint:
[tex]\implies \huge\text[\dfrac{-2 - 4}{2} ,\dfrac{6 - 9}{2} \text] \implies \huge\text[\dfrac{-6}{2} ,\dfrac{-3}{2} \text]\implies \huge\text[-3 ,-1.5 \text][/tex]
Thus, the coordinate of the midpoint is (-3, -1.5)
What is the best estimate of the area of the figure on the grid if each square has an area of 1 square inch?
O3 square inches
O 5 square inches
O 7 square inches
O9 square inches
Answer: 3 square inches
Step-by-step explanation:
See attached for how I broke the shape up. Since each square is equal to 1 square inch, and the shape is about 3 squares, the answer should be;
O 3 square inches
Please note that different people may estimate differently.
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6% of a length is 390m what is the original length
The original Length is, 6500 m.
What is the Length?Length is the term used for identifying the size of an object or distance from one point to the other.
Given that 6% of a length is 390 m
Let original length be a
Therefore, 6% of a = 390
a*6/100 = 390
a = 390*100/6
a = 6500
Hence, The original Length is, 6500 m.
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Find the 14th term of the geometric sequence 2, 6, 18,
Answer:
52
Step-by-step explanation:
100 POINTS SOMEONE PLEASE HELP
A fireman needs to get water to a second-floor fire. His ladder is 33 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.
(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest tenth of a degree and show all your work.
(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 50°. Will the ladder be safe the way it is positioned? Explain.
Answer:
Answer:
(a) 64°
(b) Yes, it is safe
Step-by-step explanation:
A fireman needs to get water to a second-floor fire. His ladder is 30 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.
(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest whole number and show all your work.
We solve the above question using the trigonometric function of Sine
sin θ = Opposite side/Hypotenuse sides
θ = Angle formed with the ground = ?
Opposite side = 27 ft
Hypotenuse side = 30 ft
Hence,
sin θ = 27 ft/30 ftsin θ = 9/10 = 0.9
θ = arc sin (0.9)
θ = 64.158067237°
Approximately to the nearest whole number = 64°
(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 70°.Will the ladder be safe the way it is positioned?
From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°
Hence:
64° < 70°
Therefore, the ladder will be safe the way it is positioned.
Answer:
(a) 64°
(b) Yes, it is safe
Step-by-step explanation:
A fireman needs to get water to a second-floor fire. His ladder is 30 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.
(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest whole number and show all your work.
We solve the above question using the trigonometric function of Sine
sin θ = Opposite side/Hypotenuse sides
θ = Angle formed with the ground = ?
Opposite side = 27 ft
Hypotenuse side = 30 ft
Hence,
sin θ = 27 ft/30 ftsin θ = 9/10 = 0.9
θ = arc sin (0.9)
θ = 64.158067237°
Approximately to the nearest whole number = 64°
(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 70°.Will the ladder be safe the way it is positioned?
From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°
Hence:
64° < 70°
Therefore, the ladder will be safe the way it is positioned
Find the volume of the rectangular prism. WA 3yd 3 yd 4 yd
please help ILL GIVE BRAINLIESST I NEED TWO PPL TO ANWSER SO I CAN GIVE IT !! EXPLANATION PLEASE
Answer:
∠ECB
Step-by-step explanation:
The angle which is vertical to ∠HCI is ∠ECB.
A vertical angle has the equal angle measure to the angle opposing it.
Hence, our answer is understood.
Diego wondered how far sixth-grade students could throw a ball. he decided to collect data to find out. he asked 10 friends to throw a ball as far as they could and measured the distance from the starting line to where the ball landed. the table shows the distances he recorded in feet.
40 76 40 63 47 57 49 55 50 53
find the median and iqr of the data set.
on a later day, he asked the same group of 10 friends to throw a ball again and collected another set of data. the median of the second data set is 49 feet, and the iqr is 6 feet.
did the 10 friends, as a group, perform better (or throw farther) in the second round compared to the first round? explain how you know.
were the distances in the second data set more variable or less variable compared to those in the first round? explain how you know.
The median of the number recorded in the question is 51.5 feet. This is obtained by dividing the sum of two numbers that occur centrally in half.
What is median?The central value in a list ordered from smallest to largest is the median of a set of values.
What is the Inter-quartile Range (IQR) of an observation?The formula for the Inter-quartile range is given as:
IQR = Q₃- Q₁ (that is Median of the Upper Half Less the Median of the lower half)
Step 1 - First, let's arrange the numbers sequentially
→ 40, 40, 47, 49, 50, 53, 55, 57, 63, 76
Step 2 - Determine the upper and lower halves and their median
If the Lower half is 40, 40, 47, 49, 50, then it's median is 47
If the Upper half is 53, 55, 57, 63, 76, then its median is 57.
Hence:
IQR = 57 - 47
= 10 feet.
Given that the median of the second data set is 49 feet, and the IQR is 6 feet. Did the 10 friends, as a group, perform better (or throw farther) in the second?No, the friends didn't perform better in the second round because the was a significant drop in the median and the IQR. The median dropped from 51.5 to 47 and the IQR from 10 to 6.
It can be concluded that the distance in the second set of data is less variable when juxtaposed with those form the first set.
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Jeriel has a bag that contains strawberry chews, lemon chews, and watermelon chews. He performs an experiment. Jeriel randomly removes a chew from the bag, records the result, and returns the chew to the bag. Jeriel performs the experiment 31 times. The results are shown below: A strawberry chew was selected 24 times. A lemon chew was selected 3 times. A watermelon chew was selected 4 times. Based on these results, express the probability that the next chew Jeriel removes from the bag will be a flavor other than lemon as a decimal to the nearest hundredth.
The probability that the next chew Jeriel removes from the bag is a flavor other than lemon will be 90.32%.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
Jeriel has a bag that contains strawberry chews, lemon chews, and watermelon chews. He performs an experiment.
Jeriel randomly removes a chew from the bag, records the result, and returns the chew to the bag.
Jeriel performs the experiment 31 times.
The results are shown below:
A strawberry chew was selected 24 times.
A lemon chew was selected 3 times.
A watermelon chew was selected 4 times.
Based on these results, express the probability that the next chew Jeriel removes from the bag is a flavor other than lemon will be
P = 24/31 + 4/31
P = 28/31
P = 0.90322
P = 90.32%
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Write the converse of the following statements:
1. If two angles are both obtuse, the two angles are equal.
2. If 3 - 2x = 13, then x = -5.
3. If 2 angles are supplementary, then they are not equal.
For the first statement the converse is two angles are equal if the two angles are both obtuse, for second "x = -5 if the equation is 3 - 2x = 13" for third Two angles are not equal if 2 angles are supplementary.
What is the converse of a statement?A conditional statement with the antecedent and effect reversed is known as a converse statement.
We have statement:
1. If two angles are both obtuse, the two angles are equal.
Converse: The two angles are equal if the two angles are both obtuse.
2. If 3 - 2x = 13, then x = -5.
Converse: x = -5 if the equation is 3 - 2x = 13
3. If 2 angles are supplementary, then they are not equal.
Converse: Two angles are not equal if 2 angles are supplementary.
Thus, for the first statement the converse is two angles are equal if the two angles are both obtuse, for second "x = -5 if the equation is 3 - 2x = 13" for third Two angles are not equal if 2 angles are supplementary.
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Help this is due today-
[tex] \bold{ \underline{Solution }}[/tex]
[tex] \bold{ \underline{ \underline{Given}}}[/tex]
y = 9 feet
[tex] \bold{to \: find}[/tex]
Volume of cube
[tex] \bold {\underline{lets \: begin}}[/tex]
[tex]y \: = 9 \: feet \: [/tex]
Volume of cube= (S)³
[tex] \sqrt[3]{9} \: = \sqrt[3]{9 \times 9 \times 9} \\ \\ \sqrt[3]{9} = 729[/tex]
so,, 729 is our final answer
▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃
if a number is multiplied by itself 3 then the obtained number is called cube of given number. x × x × x = x³ Thursday cube of a number is that number raised to power 3.volume of cube is side cube.Hey there!
Your formula: a * a * a or you could simply say a^3
Your equation;
9^3
= 9 * 9 * 9
= 81 * 9
= 729
Therefore, your answer should be:
729
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Read the excerpt from "A Century Ride.” Lizzie Dunlop patted the small lady’s shoulder soothingly. "There, there, little iceberg,” she said, "let it all be buried! It’s forgotten. You shall never be worried about it again. You are here to enjoy every moment of your holiday, and to tell me the news of civilization, and to take rides across the prairie. What a blessing we have a decent road for the velocipede—I beg pardon—bicycle! You must have lots of grit to mount that scary machine; and—oh! Maude! How can you want to be a surgeon? I should die if I saw a man cut up and mangled; but you are a marvel!” Which phrase from the excerpt is most like the modern language used in writing? There, there little iceberg You are here to enjoy every moment You must have lots of grit I should die if I saw a man cut up
The phrase in the excerpt that is most similar to the modern language used in writing is "You are here to enjoy every moment".
What is modern language?It corresponds to a language that is in current use in society, being a term used to differentiate a language that is still used for communication from a language that is not used anymore today, such as Latin.
Therefore, the phrase relates to the values of modern society with regard to the use of words and the message that the author wants to convey to readers.
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Answer:
b
Step-by-step explanation:
0.78 / 10^6
please someone answer I need this answer soon
Answer:
0.00000078 is the answer to the question
