The height of the triangular face of the prism is 12.6 feet.
To find the height of the triangular face of the prism, we first need to find the area of the triangular face.
We know that the base of the triangular face is 10 feet and the volume of the prism is 945 ft.³.
The formula for the volume of a triangular prism is V = Bh, where B is the area of the triangular base and h is the height of the prism.
We are given that the volume of the prism is 945 ft.³ and the length of the prism is 15 feet, so we can set up the equation:
945 = (1/2)bh x 15
where b is the base of the triangular face (10 feet) and h is the height of the triangular face that we want to find.
Simplifying this equation, we get:
63 = bh x 1
So the area of the triangular face is 63 ft².
Using the formula for the area of a triangle,
A = (\(\frac{1}{2}\))bh,
where,
b is the base and
h is the height,
we can solve for h:
63 = (\(\frac{1}{2}\))(10)(h)
63 = 5h
h = 12.6
Therefore, the height of the triangular face of the prism is 12.6 feet.
The length (15 feet), base of the triangular face (10 feet), and volume (945 ft³).
A triangular prism's volume is calculated using the formula:
Volume = (\(\frac{1}{2}\)) x Base x Height x Length
We know the volume (945 ft³), base (10 feet), and length (15 feet), and we want to find the height of the triangular face.
945 = (\(\frac{1}{2}\)) x 10 x Height x 15
First, let's simplify the equation by multiplying (1/2) * 10 * 15 = 75:
945 = 75 x Height
Now, to find the height, divide both sides of the equation by 75:
Height = 945 / 75
Height = 12.6 feet
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Answer question pls
Down below
Answer:
1 is after 0 and 4 before 6 then -3 3rd from -5
Step-by-step explanation:
Answer:
1 = ➡️
4 =➡️
-3 = ⬅️
HOPE YOU LIKE IT
Annie scored 29 out of 35 marks in a test.
What percentage of the test did Annie get correct?
Give your answer to 1 decimal place.
Find the area of polygon
Plsss help is for my tmrw finals
The area of each polygon in this problem is given as follows:
a) 252 square units.
b) 65 square units.
How to obtain the area of each polygon?For item a, we have a rectangle of dimensions 12 and 21, hence the area is the multiplication of the dimensions, as follows:
A = 12 x 21 = 252 square units.
For item b, we have a triangle with base 13 and height 10, hence the area is half the multiplication of the base by the height, as follows:
A = 0.5 x 13 x 10 = 65 square units.
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please answer my question
100+10% =
Answer:
110
Step-by-step explanation:
10% of 100 is 10
100+10=110
find the funcation rule for thr line that passes throught thr orgin 0,0 and the poiny (-9,19) what is the function rule for the line
Answer:
\(\sf y = -2\frac{1}{9} x\)
linear function solve:
coordinates given: (0,0), (-9,19)
slope:
\(\sf \frac{y2-y1}{x2-x1}\)
\(\sf \frac{19-0}{-9-0}\)
\(\sf \frac{19}{-9}\)
equation:
\(\sf y - y_2 = m(x-x_2 )\)
\(\sf y - 0 = \frac{19}{-9} (x-0 )\)
\(\sf y = \frac{19}{-9} x\)
\(\sf y = -2\frac{1}{9} x\)
Answer:
\(f(x)=-\dfrac{19}{9}x\)
Step-by-step explanation:
Let \((x_1,y_1)\) = (0, 0)
Let \((x_2,y_2)\) = (-9, 19)
First find the slope of the function using \(\textsf{slope }m=\dfrac{y_2-y_1}{x_2-x_1}\)
\(\implies \textsf{slope }m=\dfrac{19-0}{-9-0}=-\dfrac{19}{9}\)
Now use the point-slope form of a linear equation: \(y-y_1=m(x-x_1)\)
\(\implies y-19=-\dfrac{19}{9}(x+9)\)
\(\implies y=-\dfrac{19}{9}x\)
\(\implies f(x)=-\dfrac{19}{9}x\)
Builtrite has calculated the average cash flow to be $14,000 with a standard deviation of $5000. What is the probability of a cash flow being between than $16,000 and $19,000 ? (Assume a normal distribution.) 16.25% 18.13% 23.90% 2120%
The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.
We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.
The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.
First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.
z1 = 2,000 / 5,000 = 0.4.
Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.
z2 = 5,000 / 5,000 = 1.
Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.
Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.
Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.
Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.
So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.
To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.
We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.
The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.
First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.
z1 = 2,000 / 5,000 = 0.4.
Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.
z2 = 5,000 / 5,000 = 1.
Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.
Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.
Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.
Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.
So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
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44 divided by 469 is what
Answer:
0.09381663113
Step-by-step explanation:
Luz, a math major, sees the drawing above as a Venn diagram. Her brother, an art major, sees it as two circles. The difference in perception is an example of…
a. synesthesia.
b. stereotyping.
c. stimulus variables.
d. top-down processing.
e. feature detection.
Option A, The image above, according to math central Luz, is a Venn diagram. A major in art, her brother, interprets it as two circles. One instance of synesthesia is the discrepancy in perception.
A Venn diagram is a type of visual representation that uses circles to emphasize the relationships among certain items or constrained groups of things. Rings with overlaps have several properties that circles without overlaps do not. Venn diagrams are helpful for visually illustrating the relationship and differences between two concepts.
A Venn diagram uses circles or other overlapping shapes to illustrate the relationships between three or more organizations of things. They usually serve to visually organize items while emphasizing their similarities and differences.
A triple Venn diagram is a helpful visual tool highlighting the similarities and differences between three sets of objects or statistics.
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Find the dimensions of a rectangle whose perimeter is 46 and area is 126
The dimension of a rectangle, whose perimeter is 46 and area is 126, is 14 × 9.
To find the dimensions of a rectangle whose perimeter is 46 and area is 126, we need to use the formulas for the perimeter and area of a rectangle.
The perimeter of a rectangle is given by the formula:
P = 2L + 2W
The area of a rectangle is given by the formula:
A = LW
We are given that P = 46 and A = 126. Substituting these values into the formulas, we get:
46 = 2L + 2W
126 = LW
Rearranging the first equation, we get:
2L = 46 - 2W
L = 23 - W
Substituting this value of L into the second equation, we get:
126 = (23 - W)W
126 = 23W - W²
Rearranging this equation, we get:
W² - 23W + 126 = 0
(W - 14) (W - 9) = 0
Hence, the solutions are:
W = 14 and W = 9
If W = 14, then L = 23 - 14 = 9.
If W = 9, then L = 23 - 9 = 14.
So the dimensions of the rectangle are 14 and 9.
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what is the answer of an integration question that is given (i.e can you describe integration question in a different way). how do you check the answer of an integration to make sure it is correct.
The process of checking the correctness of an integration answer is essentially the reverse process of integration, called differentiation. By taking the derivative and comparing it to the original function, you can confidently determine if your integration solution is accurate.
The answer to an integration question, also known as the integral, represents the accumulated sum of a given function over a specified interval. In other words, integration helps us find the area under a curve or the total accumulated value of a continuously changing quantity.
To check the answer of an integration problem and ensure its correctness, you can use the following steps:
Perform the integration: Compute the integral of the given function over the specified interval, which will result in a new function or a constant value.
Take the derivative: To verify the correctness of the computed integral, take the derivative of the resulting function (if the integral resulted in a function) or the constant value. This process is called differentiation.
Compare the derivative with the original function: After obtaining the derivative of the integral, compare this derivative to the original function given in the integration problem. If the derivative matches the original function, then the computed integral is correct.
Verify any boundary conditions: If the integration problem involves definite integrals (integrating over a specific range or interval), ensure that the computed integral satisfies any given boundary conditions or constraints.
Remember, the process of checking the correctness of an integration answer is essentially the reverse process of integration, called differentiation. By taking the derivative of the integral and comparing it to the original function, you can confidently determine if your integration solution is accurate.
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solve the following system of equation for x
3x + y=9
2x -y=6
Answer:
x = 3 and y = 0 or (3, 0)
Step-by-step explanation:
First, you use the first equation to find what y equals.
3x + y = 9
y = 9 - 3x
Next, you plug in y to the second equation.
2x - y = 6
2x - (9 - 3x) = 6
2x - 9 + 3x = 6
5x - 9 = 6
5x = 15
x = 3
Then, you plug in x in the first equation.
3x + y = 9
3(3) + y = 9
9 + y = 9
y = 0
pls explain this to me I don't get it
Answer:
u divide all numbers by 1000
Step-by-step explanation:
I-Ready help...... AND DON"T SAY USE A CALCULATOR IT SO EZZ I Would if i flip In COULD DU>>>>>A>>>>>S>>>>S>>>>>'S SORRY TO BE mean XD
Answer:
-0.099
Step-by-step explanation:
0.9 × -0.11 = -0.099
Your pfp is giving me a seizure
You're like 12
And your cringy
""Sorry to be mean XD""
anaiah is currently consuming 20 eggplants and 30 kiwis. his marginal utility per dollar spent on the 20th eggplant is 160 utils and his marginal utility per dollar spent on the 30th kiwi is 190 utils. the price of an eggplant is $3 and the price of a kiwi is also $3. he has $180 to spend.
How much is Abaiah currently spending on these goods?
150 because he is not using all of his money and because the marginal utility of his spending for each product differs.
what is unitary method ?The design adopted for this study is a plan for solving issues that entails first figuring out the worth of one unit, then scaling that value to figure out the needed value. Simple terms, the unit approach is employed to derive a single unit amount from a multiple that also is supplied. For reference, 40 pens would require 400 rupees, which itself is equal to the expense of one pen. This technique might follow a typical procedure. a distinct nation. anything with a distinct character. Its capable of integrating and equivalent are identical in terms of geometry, algebra, algebra, numerical modeling, or algebra of matrices or operators.
given
Utility for every dollar spent on the twenty-first aubergine is 160 utils, and marginal Utility for every dollar spent on the thirty-first kiwi is 190 utils.
Here 160<190
Spending currently is 150
Additionally, the budget is 180 and the intake of eggplant is 20. vegetable cost is $3.
Kiwi intake equals 30; eggplant costs 3
Anaiah's present spending is equal to 3*20 plus 5*30, or 60 plus 90, or 150.
150 because he is not using all of his money and because the marginal utility of his spending for each product differs.
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3. The little-known country Overtaxia has a sales tax of 333% on all items. If you buy a comic book priced at $1.99 in Overtaxia, how much would you pay in all?
Answer:
Step-by-step explanation:
Let X represent the total amount of money you need to pay.
X= $1.99 x 3.33
= $6.6267
= $6.60 (rounded)
You need to pay $6.60 for the book in Overtaxia.
Is a system with impulse response g(t, t) = e-2|t|^-|t| for t≥T BIBO stable? How about g(t, t) = sint(e-(-)) cost?
The system with impulse response g(t, t) = e^(-2|t|^-|t|) is not BIBO stable, while the system with impulse response g(t, t) = sin(t)e^(-(-t^2)) is BIBO stable.
To determine if a system is BIBO (Bounded-Input Bounded-Output) stable, we need to analyze the impulse response of the system.
For the first system with impulse response g(t, t) = e^(-2|t|^-|t|), let's examine its behavior. The function e^(-2|t|^-|t|) decays rapidly as |t| increases. However, it does not decay fast enough to satisfy the condition for BIBO stability, which requires the integral of |g(t, t)| over the entire time axis to be finite. Since the integral of e^(-2|t|^-|t|) diverges, the first system is not BIBO stable.
For the second system with impulse response g(t, t) = sin(t)e^(-(-t^2)), the term e^(-(-t^2)) represents a Gaussian function that decays exponentially. The sinusoidal term sin(t) can oscillate, but it is bounded between -1 and 1. As the exponential decay ensures that the impulse response is bounded, the second system is BIBO stable.
In summary, the system with impulse response g(t, t) = e^(-2|t|^-|t|) is not BIBO stable, while the system with impulse response g(t, t) = sin(t)e^(-(-t^2)) is BIBO stable.
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How do you know if a question is permutation or combination?
It is a permutation. If the order of the items does not matter, it is a combination.
Permutation and combination are two types of mathematical concepts that are used to determine the number of ways to arrange a set of items. The main difference between permutation and combination is the order of the items.
A permutation is an arrangement of objects in a specific order. It means that the order of the items matters. For example, if we have three items, A, B, and C, the permutations of these items are ABC, ACB, BAC, BCA, CAB, and CBA.
A combination is a selection of items without regard to the order. It means that the order of the items does not matter. For example, if we have three items, A, B, and C, the combinations of these items are AB, AC, BC, and BA, CA, CB.
To know if a question is permutation or combination, you should look at the problem carefully and see if the order of the items matters or not. If the order of the items matters.
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if the level of significance of a hypothesis test is raised from 0.05 to 0.1, the probability of a type ii error will
As the level of significance increases, the probability of making a type II error decreases.
What is probability?
Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.
If the level of significance of a hypothesis test is raised from 0.05 to 0.1, the probability of a type II error will decrease.
Type II error occurs when we fail to reject a null hypothesis that is actually false. It is the probability of accepting a false null hypothesis. By increasing the level of significance, we are making it easier to reject the null hypothesis, which in turn decreases the probability of accepting a false null hypothesis.
Hence, as the level of significance increases, the probability of making a type II error decreases.
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Part of the graph of a quadratic function is graphed below. Between which two integers will the graph again cross the x-axis?
From the coefficients of the quadratic equation and the vertex of the parabola, it was found that the graph again crosses the x-axis in x=7.
Quadratic Function
The standard form for a quadratic equation is ax²+ bx + c=0, where: a, b and c are your respective coefficients. In the quadratic function, the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.
For solving the quadratic function, you should find the discriminant: Δ=b²-4ac and then use this variable in the formula: \(\frac{-b \pm \sqrt{\Delta} }{2a}\) .
The given equation is a quadratic function because have a degree equal to 2. Therefore, the graph is represented by a parabola. The vertex of the parabola is given by the coordinates(xv= -b/2a, yv= -Δ/4a).
From the given figure, it is possible to see that:
the graph crosses the x-axis in x= -1 the graph crosses the y-axis in y=2. xv=3 and yv=7For x= -1, you have y=0, then:
ax²+bx+c=0 -> x=-1
a (-1)²-b+c=0
a*1-b+c=0
a-b+c=0 (1)
For y= 2, you have x=0, then:
ax²+bx+c=0
a*0²+b*0+c=2
0+0+c=2
c=2 (2)
As, a-b+c=0 (1) and c=2 (2), you have:
a-b+c=0
a-b+2=0
a-b=-2 (3)
Now, you should use the information about the xv.
\(x_v=\frac{-b}{2a} =3\)
-b=6a
b=-6a
From equation 3, you will find the coefficient a .
a-b=-2 (3)
a-(-6a)= -2
a +6a =-2
7a= -2
a=-2/7
If a= -2/7, from equation 3 you can find the coefficient b.
b=-6a = -6* (-2/7)=12/7
Thus, the quadratic equation of the plot is: ax²+bx+c
\(f(x)=-\frac{2}{7}\cdot \:x^2+\frac{12}{7}\cdot \:x+2\)
Now, you should find the roots for the found equation :\(f(x)=-\frac{2}{7}\cdot \:x^2+\frac{12}{7}\cdot \:x+2\).
\(x_{1,\:2}=\frac{-12\pm \sqrt{12^2-4\left(-2\right)\cdot \:14}}{2\left(-2\right)}\)
\(x_1=\frac{-12+16}{2\left(-2\right)}=-1,\:x_2=\frac{-12-16}{2\left(-2\right)}=7\)
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The diagram is a floor plan for a new building. Find the perimeter.
Answer:
154
Step-by-step explanation:
the perimeter is the summation of all the sides of the plane. so
15 + 14 + 20 + 9 + 15 + 13 + 50 + 18 = 154
i think this is ✅
Using the labelled size of segments, the perimeter of the given figure is 154 units. Hence, the fourth option is true.
Use the concept of perimeter defined as:
The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges.
According to the figure,
The perimeter of the given building is the sum of the lengths shown in the figure.
18 + 15 + 14 + 20 + 9 + 15 + 13 + 50 = 154.
Hence,
The required perimeter is 154 units, which is option fourth.
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Lee's mom said he could play video games for 1 1/2 hours. He has already played video games for 6/7 hour. How much longer does he have to play?
Lee has 9/14 hours left to play the game
How to calculate the amount left to play the game?Lee's mom said he could play video games for 1 1/2 hours
He has already played the video games for 6/7 hour
The number of time left to play the video games can be calculated as follows
= 3/2 - 6/7
= 21-12/14
= 9/14
Hence Lee has 9/14 hours left to play the video games
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The length of a rectangular frame is 15 inches, and the width of the frame is 88 inches. What is the length of a diagonal of this frame in inches?
Answer:
about 89.27 inches
Step-by-step explanation:
This is a right triangle question
c^2 = a^2 + b^2
c^2 = 15^2 + 88^2
c^2 = 225 + 7744
c^2 = 7969
Take the square root of both sides
c = 89.2692556259
c ≈ 89.27 inches
If EC=13, find BD
find m
find m
20 pts for the first answer
Answer:
BD = 26
The measure of angle ADB = 59 degrees
The measure of angle DEC = 118 degrees
Step-by-step explanation:
BD = 2 * EC = 2 * 13 = 26
The measure of angle ADB = 90 - 31 = 59 degrees
The measure of angle DEC = 180 - 2(31) = 180-62 = 118 degrees
The slope of the line shown between the points (-8, 4) and (-4, 0) is equal to its slope between the points (-2, -2) and (5, -9).
Which of the following is true?
A. FG/FH = JK/KL
B. FG/FH = JK/JL
C. FG/GH = JK/KL
D. FH/GH = KL/JL
In this case, we can compare the segments FG/FH and JK/JL, and we know that they must have the same ratio.
We can find the slope of the line between the points (-8,4) and (-4,0) using the slope formula:
slope = (change in y) / (change in x)
slope = (0 - 4) / (-4 - (-8))
slope = -4 / 4
slope = -1
We can find the slope of the line between the points (-2,-2) and (5,-9) using the same formula:
slope = (change in y) / (change in x)
slope = (-9 - (-2)) / (5 - (-2))
slope = -7 / 7
slope = -1
Since both slopes are equal, we know that the lines have the same steepness or incline. Therefore, we can conclude that:
B. FG/FH = JK/JL
This is because if the two lines have the same slope, then the ratio of the lengths of any two corresponding line segments on the lines must be the same.
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Which of the following algebraic represents shows a dilation that is an enlargement ?
The algebraic representation that shows a dilation that is an enlargement is (5/2 x,5/2 y). (Option D)
A dilation is a type of transformation that changes the size of the shape or object. It refers to a process of changing an object’s size by decreasing or increasing its dimensions by a scaling factor. A dilation produces an image that has the same shape as the original image but is a different size.
A dilation that results in a larger image is called an enlargement while a dilation that generates a smaller image is called a reduction. A dilation is described using the scale factor and the center of the dilation (which is a fixed point in the plane).
For a scale factor > 1, the image is an enlargement; for a scale factor < 1 and > 0, the image is a reduction; and for a scale factor = 1, the figure and the image are congruent. Hence, for a point (x,y), algebraic representation that shows a dilation that is an enlargement is (5/2 x,5/2 y) as the scale factor is greater than 1. For the remaining options, the scale factor is between 0 and 1, hence they are reduction.
Note: The question is incomplete. The complete question probably is: Which of the following algebraic representation shows a dilation that is an enlargement? A) (1/3 x,1/3 y) B) (0.1x, 0.1y) C) (5/6 x,5/6 y) D) (5/2 x,5/2 y)
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The slope of this graph is?
100 POINTS PEOPLE!!!!!
Answer: Poggers, what if i did 2000 points???
Step-by-step explanation:
Answer:
lol
Step-by-step explanation:
The expression 8x+2 factored using the GCF is
The expression 8x+2 factored using the GCF is 2(4x + 1)
Equations are expressions separated by an equal sign
Given the expression 8x + 2
First we need to find the factors of each terms
8x = 2 * 4 * x
2 = 2 * 1
From bot factors, we can see that 2 is common. Factoring out 2 from the expression will give;
8x + 2 = 2(4x + 1)
Hence the expression 8x+2 factored using the GCF is 2(4x + 1)
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if a and b are independent events with p(a) = 0.65 and p(a ∩ b) = 0.26, then, p(b) =
The chance of the event B is 0.4 when using the probability for the two independent two event formula.
In the given question, if a and b are independent events with p(a) = 0.65 and p(a ∩ b) = 0.26, then we have to find the value of p(b).
Events classified as independent do not depend on other events for their occurrence.
Event A's likelihood of happening is P(A)=0.65.
The likelihood of the two events A and B intersecting is P(A∩B)=0.26.
Given that the likelihood of the two independent events is:
P(A∩B) = P(A)⋅P(B)
Then the probability of the event B will be,
P(B) = P(A)/P(A∩B)
P(B) = 0.65/0.26
P(B) =0.4
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solve by factoring
x^2-10=9x
Answer:
x=10
Step-by-step explanation:
x^2 - 10 - (9x) = 0
x^2 - 9x - 10 = 0
(x - 10) + (x + 1) = 0
x= 10
x = -1