The probability that the other side of the card is red is [tex]\frac{4}{5}[/tex].
What is conditional probability?The possibility of an event or outcome happening contingent on the occurrence of a prior event or outcome is known as conditional probability. The probability of the prior event is multiplied by the current likelihood conditional, occurrence to determine the conditional probability.
Suppose you choose a red/black card:
The probability of choosing a red and black card is [tex]\frac{1}{6}[/tex].
Now, since this card has one side as red the probability of seeing a red side in this card is [tex]\frac{1}{2}[/tex].
Suppose you choose a red/red card:
The probability of choosing red and red card is 2/6.
Now, since the card has two red sides the probability of seeing red side in this card is [tex]\frac{2}{2}[/tex] .
Considering we see a single side of the card we have the following probability:
[tex]\frac{2}{6} * \frac{2}{2} = \frac{1}{3}[/tex]
The total probability of seeing a red side is [tex]\frac{1}{12} + \frac{1}{3} = \frac{5}{12}[/tex].
The probability that you pick red-red card and see a red side is [tex]\frac{1}{3}[/tex].
So, the conditional probability of both red sides is given as:
[tex]\frac{\frac{1}{3} }{\frac{5}{12} } = \frac{4}{5}[/tex]
Hence, the probability that the other side of the card is red is [tex]\frac{4}{5}[/tex].
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Callie drew the map below to show her neighborhood. If each unit in the coordinate plane represents 1.5 miles, how many miles is it from the school to the grocery store?
1)
2)
Which relation is not a function?
1
-A
30
2
B
3.
: mo
C
A
4
36
3
3)
4)
2-
x
relations
246
6:
8-
Co
8
-10
12
₹10
12
Answer:
2, cause it shows a different function or pattern
find the median and mean of the data set below: 29,8,11,29,29,6,49
What is the value of log2 base 2?
the value of log2 base 2 is 1 because if base and logrithm value is same then it is always one
How do you find the value of log base 2?
Properties of Log Base 2
Multiply two numbers with base 2, then add the exponents. Divide two numbers with the base 2, subtract the exponents. Power Rule: Raise an exponential expression to power and multiply the exponents.
Use the change-of-base formula:
since we know that natural log and log with base 10 are different
So, if we want to write log3(6) as a logarithm of base 2, in these example a = 3, x = 6, b = 2:
Hence , the value of log2 base 2 is 1 because if base and logrithm value is same then it is always one
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Identify the factors of the quadratic equation below.
the picture is not available, pls try again
what is the fraction and the percentage of o.5
Answer:
Fraction: 1/2
Precentage: 50%
Step-by-step explanation:
sketch if it helps you.
There is an amoeba (a single-celled animal) on a dish-
After one hour, the amoeba divides to form two
amoebas.
One hour later, each amoeba divides to form two mor
Every hour, each amoeba divides to form two more.
How many amoebas are there after 6 hours?
Answer:
64
Step-by-step explanation:
Simplify the expression 6−2x+5+4x . Show or explain your reasoning.
Answer:
2x + 11 is your answer
Step-by-step explanation:
yeah just 2x + 11
At Downtown Dogs, 10 of the last 15 customers wanted mustard on their hot dogs. What is the experimental probability that the next customer will want mustard? Write your answer as a fraction or whole number.
Answer:
yes
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
its on ixl
helpppppppppp plst q
Answer:
9π units
Step-by-step explanation:
The arc length is calculated as
length = [tex]\frac{1}{2}[/tex] × 2πr ( r is the radius )
length = πr = π × 9 = 9π ← exact answer
find the volume of this triangular prism.
The volume of the triangular prism is 120 cm cube.
How to find the volume of a triangular prism?A triangular prism is a three-sided prism. The volume of a triangular prism can be represented as follows:
volume of a triangular prism = 1 / 2 bhl
where
b = base of the triangular faceh = height of the triangular facel = height of the triangular prismTherefore,
b = 10 cm
h = 12 cm
l = 6 cm
Therefore,
volume of a triangular prism = 1 / 2 × 10 × 12 × 6
volume of a triangular prism = 1 / 2 × 120 × 6
volume of a triangular prism = 60 × 6
volume of a triangular prism = 120 cm³
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Which of the following is a true proportion of the figure based on the triangle proportionality theorem?
A)
h/j=k/i
B)
j/h=j/k
C)
k/j=i/j
D)
h/k=k/i
Answer:
The correct option is A.
Step-by-step explanation:
When we have two congruent figures, the correspondent sides of the figures are related by the same constant C.
In the case of the image.
h is the left side of the smaller triangle.
h + j is the left side of the larger triangle.
Then we have the relation:
(h + j) = C*h
If we isolate C, we get:
C = (h + j)/h
We can also write this for the other side (the bottom one)
k*C = (k + i)
C = (k + i)/k
Then we have:
(h + j)/h = (k + i)/k
We can rewrite this as:
h/h + j/h = k/k + i/k
1 + j/h = 1 + i/k
We can subtract 1 in each side to get:
j/h = i/k
This is almost the same we can see in option A (its inversed)
If we apply the inverse to both sides, we get:
(j/h)^-1 = (i/k)^-1
h/j = k/i
Which is the same equation that we can see in option A.
Then the correct option is A.
Fraction is equivalent
3
_
21
[tex]\huge\text{Hey there!}\\\\\\\mathsf{\dfrac{3}{21}}\\\\\mathsf{= \dfrac{3\div3}{21\div3}}\\\\\mathsf{= \dfrac{1}{7}}\\\\\huge\text{Therefore, your\ answer\ should\ be: \huge\boxed{\mathsf{\dfrac{1}{7}}}}}\huge\checkmark\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
find the area of the region enclosed by one loop of the curve. r = sin(6θ)
Area of the region enclosed by one loop of the curve is pi/288.
To find the area of the region enclosed by one loop of the curve, we can use the formula for the area of a polar region:
A = 1/2 * ∫(r^2)dθ
We can use this formula with the equation for r given:
A = 1/2 * ∫(sin^2(6θ))dθ
This integral can be simplified by noting that sin^2(x) = (1/2)(1 - cos(2x))
Thus,
A = 1/2 * ∫(1/2)(1 - cos(12θ))dθ
This integral can be solved by noting that the antiderivative of (1/2)(1 - cos(12θ)) is (1/24)(sin(12θ) + θ).
Therefore, the area enclosed by one loop of the curve is
A = 1/2 * ((1/24)(sin(12θ) + θ)) evaluated from 0 to pi/6
A = (1/48)(sin(2pi) + pi/6)
= (1/48)(0 + pi/6)
= pi/288
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Helppppppp
Write the expression as a unit rate.
Joyce painted 8 window frames in 5 hours while earning money for college.
What was her painting rate in window frames per hour?
What was her painting rate in hours per window frame?
Her painting rate in window frames per hour will be;
⇒ 1.6 frames per hour
Her painting rate in hours per window frame will be;
⇒ 0.25 hours per window frame
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Joyce painted 8 window frames in 5 hours while earning money for college.
Here, Joyce painted 8 window frames in 5 hours while earning money for college.
Hence, Her painting rate in window frames per hour is,
⇒ 8/5
⇒ 1.6 frames per hour
And, Her painting rate in hours per window frame is,
⇒ 5/8
⇒ 0.25 hours per window frame
Thus, Her painting rate in window frames per hour = 1.6 frames per hour
Her painting rate in hours per window frame = 0.25 hours per window frame
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Which choice is equivalent to the quotient shown here for acceptable
values of x?
√12(x-1)+√√2(x-1)²
For acceptable x values of √12(x-1)+√√2(x-1)², the option is equivalent to the quotient given here (x-1) ² is [tex]$2 \sqrt{3} \sqrt{x-1}-\sqrt{2}(x-1)$\\[/tex] .
How do you find the quotient of a set?The equivalent of the quotient displayed above for allowable x values is
[tex]$\sqrt{1} \cdot 2(x-1)+\sqrt{\sqrt{2}}(x-1)^2$[/tex]
[tex]$2(x-1)+\sqrt[2 \cdot 2]{2}(x-1)^2$\\[/tex]
[tex]\$2(x-1)+\sqrt[4]{2}(x-1)^2$\\$(2 x-2)+\sqrt[4]{2}\left(x^2+2 x(-1)+(-1)^2\right)$\\$(2 x-2)+\sqrt[4]{2}\left(x^2-2 x+1\right)$\\$2 x-2+\sqrt[4]{2}\left(x^2-2 x+1\right)$\\$2 x+\sqrt[4]{2}\left(x^2-2 x+1\right)-2$\\$2 x+\left(\sqrt[4]{2} \cdot x^2-\sqrt[4]{2} \cdot 2 x+\sqrt[4]{2}\right)-2$\\$2 x+\left(\sqrt[4]{2} \cdot x^2-2 \cdot \sqrt[4]{2} \cdot x+\sqrt[4]{2}\right)-2$\\$2 x+\sqrt[4]{2} \cdot x^2-2 \cdot \sqrt[4]{2} \cdot x+\sqrt[4]{2}-2$[/tex]
[tex]$f(x)=\sqrt{12(x-1)}-\sqrt{2(x-1)^2}$[/tex]
[tex]$\frac{d}{d x}\left(\sqrt{12(x-1)}-\sqrt{2(x-1)^2}\right)$[/tex]
[tex]$\sqrt{12(x-1)}-\sqrt{2(x-1)^2}=2 \sqrt{3} \sqrt{x-1}-\sqrt{2}(x-1)$[/tex]
[tex]$\sqrt{12(x-1)}-\sqrt{2(x-1)^2}$[/tex]
[tex]$\sqrt{12(x-1)}=2 \sqrt{3} \sqrt{x-1}$[/tex]
[tex]$\sqrt{2(x-1)^2}=\sqrt{2}(x-1)$\\$=2 \sqrt{3} \sqrt{x-1}-\sqrt{2}(x-1)$\\[/tex]
Values that might result in a fraction's denominator being equal to zero are excluded. Finding these omitted values is crucial for resolving a rational statement because you cannot divide by 0.
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click on photo! help!
Answer:
The answer is D) 5, the number of eggs on the charts never exceeds that number.
what is the vertex and solutions for y=x^2+5x-7 and y=-x^2+3x+8
The vertex for the given equation [tex]y=x^2+5x-7 is (-2.5,-4.25)[/tex] and the solution to the equation is x = -5,7/1. Similarly , the vertex for the given equation [tex]y=-x^2+3x+8\ is\ (-3/2,1/4)[/tex] and the solution to the equation is [tex]x = -2,4[/tex].
What is parabola?The graph of a quadratic function is a symmetrical, U-shaped geometric form known as a parabola. It is the collection of all points that are equally spaced apart from a fixed point (referred to as the focus) and a fixed straight line (called the directrix).
What is vertex of a parabola?A parabola's vertex is the location where its symmetry line and parabola intersect.
The vertex of a parabola is the highest or lowest point on the graph of the parabola. In the case of a parabola in the form of [tex]y = ax^2 + bx + c[/tex], the vertex is the point (h, k), where:
[tex]h = -b / 2a\\k = f(h) = a(h^2) + bh + c[/tex]
For the first equation: [tex]y = x^2 + 5x - 7[/tex]
The vertex would be:
[tex]h = -b/2a = -5/2 = -2.5\\k = f(h) = a(h^2) + bh + c = (1)((-2.5)^2) + (5)(-2.5) - 7 = 6.25 - 12.5 - 7 = -4.25[/tex]
So the vertex is [tex](-2.5,-4.25)[/tex]
For the second equation:[tex]y = -x^2 + 3x + 8[/tex]
The vertex would be:
[tex]h = -b/2a = -3/2(1) = -3/2\\k = f(h) = a(h^2) + bh + c = (-1)((-3/2)^2) + (3)(-3/2) + 8 = -9/4 + -9/2 + 8 = 1/4[/tex]
So the vertex is [tex](-3/2,1/4)[/tex]
To find the solutions or roots of the equation, you can set the equation equal to zero and solve for x.
[tex]y = x^2 + 5x - 7 = 0\\x^2 + 5x - 7 = 0\\x^2 + 5x - 7 + 7 = 0 + 7\\x^2 + 5x = 7\\x(x+5) = 7\\x = -5,7/1\\y = -x^2 + 3x + 8 = 0\\x^2 - 3x - 8 = 0\\(x-4)(x+2) = 0\\x = -2,4[/tex]
Solutions for first equation are x = -5 and x = 7/1 and for the second equation are x = -2 and x = 4
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PLEASE IM BEGGING FOR HELPP
Answer:
y ≥ 1
Step-by-step explanation:
According to the graph, the y values start at 1 and go to ∞. Therefore, the range of the function is y ≥ 1.
How do i solve this question
9514 1404 393
Answer:
-2
Step-by-step explanation:
Put 6 where x is and do the arithmetic.
[tex]f(6)=\dfrac{5\cdot6-34}{2}=\dfrac{30-34}{2}=\dfrac{-4}{2}=\boxed{-2}[/tex]
The corresponding range value is -2.
__
The ordered pair is (6, -2).
Mark is buying a game from an online store. He has not heard of the store or the online payment service before, but the price is very good. Is Mark at risk buying the game online at this store? Why? Select the best answer from the choices provided. A. No, because online transactions are more secure than cash payments. B. Yes, because online transactions are less secure than payments by check. C. No, because liability is limited to $50 with online payment services. D. Yes, because the online payment service is unknown to him.
Find the minimal and maximum value of the function y=7 cos x
Answer:
The minimum and maximum cannot be determined because this is not a quadratic function.
Step-by-step explanation:
A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.
PLEASE HELP ME IM TIMED WILL MARK BRAINLIEST NO LINKS
Answer:
27.83 dollars
Step-by-step explanation:
If the original recipe made 14 pancake and the cafeteria plan to charge $. 50 per pancake, how much money will they make if they ell all of the pancake made for the 75 people?
Therefore, if the cafeteria sells all of the pancakes made for 75 people, they will make $525.
What is unitary method?The unitary method is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary method can be used to complete it.
Define ratio and proportion.Two quantities are compared to form a ratio. An equality of two ratios is a percentage. How to format a ratio Analyze the ratio to see whether it is part to part or part to whole. Calculate the whole and the pieces as necessary.
If the cafeteria sells all of the pancakes made for 75 people, and the original recipe makes 14 pancakes, they would need to make 1475 = 1050 pancakes.
If they charge $0.50 per pancake and they sell all 1050 pancakes, they would make 1050$0.50 = $525.
Therefore, if the cafeteria sells all of the pancakes made for 75 people, they will make $525.
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The triangle below has an area of 10 units squared.
Answer:
x = 5 units
Step-by-step explanation:
area = 1/2bh
10 = 1/2(x)4)
2x = 10
x = 5
Answer:
The value of x (which is also the height of this triangle) is x = 5 units.
Step-by-step explanation:
The formula for the area of a triangle of base b and height h is
A = (1/2)(b)(h).
Here A = 10 units² = (1/2)(4 units)(x).
Multiplying both sides by 2 yields 20 units² = (4units)(x), and thus 20 units²
Elijah has some candy bars he wants to give away. He will give each person 8 of a candy bar. If he has 3 2- 4 candy bars to give away, how many people will get candy? Show your thinking.
Answer:
He got 32 candy, he give each person , 3,50. or give only tree each person. and he live 8 candy.
David drives from his home to the airport to catch a flight. He drives 35 miles in the first hour,
but realizes that he will be 1 hour late if he continues at this speed. He increases his speed by 15
miles per hour for the rest of the way to the airport and arrives 30 minutes early. How many miles
is the airport from his home?
(A) 140 (B) 175 (C) 210 (D) 245 (E) 280
If David drives from his home to the airport to catch a flight. He drives 35 miles in the first hour, but realizes that he will be 1 hour late if he continues at this speed. The number of miles that is the airport from his home is 210.
How to find the distance?Let d represent the distance that is needed to travel 1 hour
1 hour late decreased to 0.5 hours early = 1.5
Hence,
d/50 + 1.5 = d/35
Simplify
7d + 525 =10d
Collect like terms
525 = 10d - 7d
525 = 3d
Divide both side by 3d
d = 525/3
d = 175
Total number of miles :
Total number of miles = 175 + 35
Total number of miles = 210
Therefore we can conclude that the correct option is C.
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Sorry I’m not very good with this type of math.
Find the mean of this set of data: 45, 177, 153, 162, 43, 33, 6, 78, 122
Answer:
91
Step-by-step explanation:
Answer:
so to find the mean, add all the numbers
(ie from 45 to 122) then divide the answer by the number of number you have ( ie count from 45 to 122 which is nine numbers in total)
so your presentation will look like
819/9
which is = 91
Bridget says that when a standard number cube is rolled getting an even number is an outcome. Uma says that getting an even number is an event. Who is correct? Explain
Uma is correct, because getting an even number is an event.
What is Probability?The term probability refers to the likelihood of an event occurring.
Given that;
Bridget says that when a standard number cube is rolled getting an even number is an outcome.
And, Uma says that getting an even number is an event.
Now,
We know that;
When a standard number cube is rolled then getting an even number is an event.
Hence, Uma statement is correct.
Thus, Uma is correct, because getting an even number is an event.
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which statement describes rate of change of the following function? F( x)=3X -7