If the probability of a breakdown on assembly line 'a' is 12% and probability of a breakdown on assembly line 'b' is 16%, then the probability that assembly line 'a' or assembly line 'b' break down is equals to the 26%, i.e., 0.26.
We have the probability of a breakdown on assembly line 'a' = 12% = 0.12
The probability of a breakdown on assembly line 'b' = 16% = 0.16
The probability that both assembly lines break down = 2% = 0.02
Let's two events a breakdown on assembly line 'a' and a breakdown on assembly line 'b' be 'X' and 'Y' respectively. That is P(X) = 0.12, P(Y) = 0.16,
P(X and Y) = P(X∩Y) = 0.02
we have to calculate the probability that assembly line 'a' or assembly line 'b' break down, P( X or Y) = P(X∪Y). Using addition rule of probability, the probability that event A or event B occurs is equal to the probability that A occurs plus the probability that B occurs minus the probability that both occur. So, P( X or Y) = P(X) + P(Y) - P( X∩Y)
= 0.12 + 0.16 - 0.02
= 0.26
Hence, required probability is 0.26.
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Determine the value of X
Answer:
x = 26.
Step-by-step explanation:
Given: 2x + 3x + 50 = 180
First, write it down:
2x + 3x + 50 = 180
Then, collect like terms:
2x + 3x = 180 - 50
Then calculate:
5x = 130 (Divide both sides by 5)
x = 26
please answer with explanation!
The maximum value of f on the given region is 9 and the minimum value of f is 25.
Describe Function?In plainer terms, a function creates an output in response to an input. As an illustration, the formula f(x) = x2 takes the input value x, squares it, and outputs the square of x. The set of all potential output values is referred to as the range, while the set of input values that can be employed with a specific function is referred to as the domain.
In order to simulate real-world processes and make predictions, functions are frequently employed in mathematics, physics, engineering, and many other disciplines. They can be represented by mathematical equations, tables, or graphs, and can take on a variety of shapes, such as linear, quadratic, exponential, trigonometric, and many more.
We need to find the extreme values of the function f(x,y) subject to the constraint x² + y² <= 16. We can use the method of Lagrange multipliers to solve this problem.
Let g(x,y) = x² + y² - 16, then the Lagrangian function is given by:
L(x,y,λ) = f(x,y) - λg(x,y)
= 2x² + 3y² - 4x - 7 - λ(x² + y² - 16)
Taking partial derivatives of L(x,y,λ) with respect to x, y and λ, and equating them to zero, we get:
∂L/∂x = 4x - 4λx = 0
∂L/∂y = 6y - 4λy = 0
∂L/∂λ = x² + y² - 16 = 0
Solving these equations, we get two critical points:
(2/λ, 0, λ) and (-2/λ, 0, λ)
To find the extreme values of f, we need to evaluate f at these critical points and at the boundary of the region x² + y² = 16.
At the critical points, we have:
f(2/λ, 0) = -7 - 16λ/3
f(-2/λ, 0) = -7 - 16λ/3
At the boundary, we have:
f(x,y) = 2x² + 3y² - 4x - 7
= 2x² + 3(16 - x²) - 4x - 7 (substituting y² = 16 - x²)
= -x² - 4x + 41
To find the extreme values, we need to compare the values of f at these points:
f(2/λ, 0) = f(-2/λ, 0) = -7 - 16λ/3
f(x,y) = -x² - 4x + 41
Now, we need to find the maximum and minimum values of f on the given region. Since the coefficient of x² is negative, the maximum value of f occurs at the boundary of the region, where x = ±4. Therefore, the maximum value of f is:
f(4,0) = -4² - 4(4) + 41 = 9
To find the minimum value of f, we need to compare the values of f at the critical points and the boundary. Since the coefficient of x² is negative, we can see that f(2/λ, 0) and f(-2/λ, 0) approach -∞ as λ → 0. Therefore, the minimum value of f occurs at the boundary of the region, where x = ±4. Therefore, the minimum value of f is:
f(-4,0) = -(-4)² - 4(-4) + 41 = 25
Hence, the maximum value of f on the given region is 9 and the minimum value of f is 25.
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5. A-postage box should weigh 1.0 pound. If there is a 5% error on the weight, what is the range of acceptable weight ?
Answer:
0.95P - 1.05P
Step-by-step explanation:
Calculate the error
5% of 1.0 Pound
5/100 x 1.0 = 5/100
1/20 = 0.05
The error is + or - 0.05
If you add 0.05 to 1.0Pound, you get 1.05P
If you Subract 0.05 to 1.0Poumd, you get 0.95Pound
The weight will be between 0.95Pound and 1.05 Pound
Translate the figure 5 units left and 5 units up. Plot all of the points of the translated figure. You may click a plotted point to delete it.
Answer:
Send a proper picture, the fifth point is not visible.
A number divided by eight answers 27 remainders four whats the number
As per the query, we have to find a number which is divided by 8 that answers 27, i.e., quotient is 27, and remainder is 4. The number is 220.
In this case, we used it to find the number that was divided by 8 and gave a quotient of 27 and a remainder of 4. As we know the rule:
Dividend = Divisor × Quotient + Remainder
x = 8 × 27 + 4 x = 216 + 4 x = 220.
Hence, the number is 220.
The formula I used is called the division algorithm. It’s a way to divide two numbers and get a quotient and remainder. We can use this formula to solve other division problems with remainders as well.
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in bridge, south has 13 points and 3 clubs and bids 1 club. north responds with 3 clubs, what does that mean?
In the bridge, when the south has 13 points and 3 clubs and bids 1 club, the north responding with 3 clubs means that the North has a strong hand with six or more clubs.
In the game of bridge, bidding is a method of indicating the strength of a player's hand, which is the number of tricks that they believe they can win if they become the declarer. Every player has to declare their abilities based on the bid of the previous player when it is their turn to bid.
The bidding starts with the dealer and proceeds in a clockwise direction. The players can either make a bid or pass. The following are the four basic bids in Bridge:
When South has 13 points and 3 clubs, he makes a 1 Club bid. This bid can be interpreted as follows:
South has a strong hand with five or more clubs and 13 to 21 high card points. When South bids 1 Club, he implies that he has a balanced hand, which means that he has four cards in each suit, or an unbalanced hand, which means that he has a long suit, a singleton, or a void in some other suit.
When North responds with 3 Clubs, it means that he has a strong hand with six or more clubs. North has understood that South has five or more clubs and therefore responds with the number of clubs that he has in his hand to show that he is strong enough to support South's suit. Thus, North is trying to force South to become the declarer in clubs.
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Factor out the GCF from the polynomial.
3x³y² - 9xz4 + 8y²z
The expression 3x³y² - 9xz⁴ + 8y²z have no GCF greatest common factor but the terms 3x³y² and 8y²z have GCF equal to y².
What is (GCF) greatest common factor?The GCF defines the highest common factor present in between given two or more numbers or algebraic expressions.
we shall determine the GCF greatest common factor for the algebraic expression 3x³y² and 8y²z as follows:
3x³y² = y² × 3x³
8y²z = y² × 8z
both terms 3x³y² and 8y²z have y² common to them, so we can write;
3x³y² + 8y²z = y² × 3x³ + y² × 8z
3x³y² + 8y²z = y²(3x³ + 8z)
In conclusion, the expression 3x³y² - 9xz⁴ + 8y²z have no GCF greatest common factor but the terms 3x³y² and 8y²z have GCF equal to y².
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one side of a triangle is 5 and the altitude to that side is 12. another side of the triangle is 13. can you tell what the length of the altitude to that side of the triangle is? if not, why not? if so, show what it is.
12
Yes, it is possible to calculate the length of the altitude to the other side of the triangle. To do so, use the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this triangle, the hypotenuse is the side of length 13 and the other two sides are the side of length 5 and the altitude to it. So, the equation to use is:
132 = 52 + altitude2
Solving for altitude gives:
altitude2 = 132 - 52
altitude2 = 169 - 25
altitude2 = 144
altitude = √144 = 12
Therefore, the length of the altitude to the side of the triangle with length 13 is 12.
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The data to the right represent the number of chocolate chips per cookie in a random sample of a name brand and a store brand. Complete parts (a) to (c) below.(a) Draw side-by-side boxplots for each brand of cookie. Label the boxplots "N" for the name brand and "S" for the store brand. Choose the correct answer below.(b) Does there appear to be a difference in the number of chips per cookie?(c) Does one brand have a more consistent number of chips per cookie?
(a) Since I cannot draw boxplots in text, I recommend using a boxplot tool, such as a graphing calculator, Excel, or an online boxplot generator. Input the data for each brand and create side-by-side boxplots, labeling them "N" for the name brand and "S" for the store brand.
(b) To determine if there is a difference in the number of chips per cookie between the two brands, compare the median values, the range, and the interquartile range of each brand's boxplot. If these values differ significantly, then there is a difference in the number of chips per cookie between the two brands.
(c) To determine which brand has a more consistent number of chips per cookie, compare the interquartile ranges (IQR) of each brand's boxplot. The brand with the smaller IQR has a more consistent number of chips per cookie, as the IQR measures the spread of the middle 50% of the data.
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explain the difference between cardinality and join type. describe why one-to-many cardinality is often handled using a one-to-one join.
The difference between cardinality and join type is that cardinality describes the relationship between two data tables, while join type is the specific method used to combine the two tables.
Cardinality defines the maximum number of records that can exist in one table for a relationship with another table. Cardinality can be either one-to-one, one-to-many, or many-to-many.
A one-to-many cardinality relationship is when one record in one table can be related to multiple records in another table. For example, a customer can have multiple orders. In this situation, a one-to-one join type is often used because it is the most efficient way to retrieve the related data. This is because one-to-one join type only requires that one record be searched, while a one-to-many join type would require that multiple records be searched in order to find the related records. Additionally, a one-to-one join type ensures that no duplicate records will be returned in the result.
In summary, cardinality describes the relationship between two tables while join type is the specific method used to combine the two tables. A one-to-many cardinality relationship is when one record in one table can be related to multiple records in another table. To efficiently retrieve the related data, a one-to-one join type is often used. This is because it only requires that one record be searched and it ensures that no duplicate records will be returned in the result.
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Find the slope of the line that passes through A(3 , 7) and B(2, 2).
Answer:
5
Step-by-step explanation:
To find the slope, we will use this equation.
[tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} } = m[/tex]
m = slope
When we plug in the values of y2, y1, x2, and x1, we get this:
[tex]\frac{2-7}{2-3} = m[/tex]
when we simplify:
[tex]\frac{-5}{-1}[/tex]
-5 / -1 = 5 / 1 = 5
The slope is 5.
help
asap please need this
Answer:
15 degrees,45 degrees, 120 degrees respectively
Step-by-step explanation: TO begin with total=1+3+8=12
1:3:8=12
1/12*180=15
3/12*180=45
8/12*180=120
Can someone please help me on this?
Answer:
For problem a: 0,4 0,5 0,6
For Problem B: 1,0 2,0 3,0
Step-by-step explanation:
Graph each equation on a graph Figure out either solid or dotted line. Then depending on <=,<,>,>= is whre you shade on your graph. The spot where both lines meet when shaded is your solution area and you pick any spot on that. You can check your answer by plugging in ordered pairs for your X,Y values in the system.
a right circular cylinder is generated by rotating a rectangle of perimeter p about one of its sides. what dimensions of the rectangle will generate the cylinder of max volume?
A right circular cylinder can be generated by rotating a rectangle of perimeter p about one of its sides. The dimensions of the rectangle that will generate the cylinder of max volume are l = p/6 and w = p/2 - l = 2p/3.
Explanation: Let l and w be the dimensions of the rectangle of perimeter p.
That is, the rectangle's perimeter is given by p = 2l + 2w or p/2 = l + w. Therefore, the width w = p/2 - l. The area of the rectangle is given by lw. When the rectangle is rotated around the side of length w, it generates a cylinder of height l and radius w.
The volume of the cylinder is given by V = πr²h = πw²l. Substituting w = p/2 - l, we obtain V = π(p/2 - l)²l = π(p/2)²l - 2π(p/2)l² + πl³.
The volume function can be obtained by differentiating V with respect to l, setting the derivative equal to 0, and solving for l. The derivative of V with respect to l is given by dV/dl = π(p/2)² - 4π(p/2)l + 3πl².
Setting dV/dl = 0 and solving for l, we obtain l = p/6.The dimensions of the rectangle that will generate the cylinder of max volume are l = p/6 and w = p/2 - l = 2p/3.
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PLSSSS HELP IF YOU TURLY KNOW THISS
Given:-
[tex] \tt \: x - 5 = 2[/tex][tex] \: [/tex]
Solution:-
[tex] \tt \: x - 5 = 2[/tex][tex] \: [/tex]
[tex] \tt \: x = 2 + 5[/tex][tex] \: [/tex]
[tex] \boxed{ \tt{ \blue{ \: \: x = 7 \: \: }}}[/tex][tex] \: [/tex]
The value of x is 7 !
__________________
hope it helps ⸙
during an accident, skid marks may result from sudden breaking. the formula approximates a vehicle's speed, s, in miles per hour given the length d in feet of the skid marks. if skid marks on dry concrete are 54 feet long, how fast was the car traveling when the brakes were applied?
The car was travelling with the speed of 183.5 mph when the brakes were applied.
The pace at which an object travels a certain distance can be described using the speed formula. The distance that a body travels in a certain amount of time is a common way to measure speed. M/s is the SI unit of speed. We will learn more about the speed formula and its uses in this section.
Let's continue and investigate the speed formula in this part in more detail. Speed can be expressed in a variety of ways, including m/s, km/hr, miles/hr, etc. [LT-1] is the dimensional formula for speed. A body's speed may be defined as how quickly it is going. The equation for a given body's speed may be written as,
Speed = Distance ÷ Time
We have the equation,
[tex]s=\frac{\sqrt{d} }{0.04}[/tex]
we have the value of d as 54
putting the value pf d in the equation we get,
[tex]s=\frac{\sqrt{54} }{0.04}[/tex]
s = 7.34/0.04
s = 183.5 mph
So the car was travelling with the speed of 183.5 mph when the brakes were applied.
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Complete question:
The speed that a vehicle was traveling, s, in miles per hour, when the brakes were first applied, can be estimated using the formula
[tex]s=\frac{\sqrt{d} }{0.04}[/tex] where d is the length of the vehicle's skid marks, in feet.
if skid marks on dry concrete are 54 feet long, how fast was the car traveling when the brakes were applied?
Find CY on the triangle Geometry
The value of CY is 4.4
What are similar triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion. The ratio of corresponding sides of similar triangles are equal.
Triangle ABC is similar to AXY
therefore,
represent CY is by x
9/9+4 = 10/(10+x)
= 9/13 = 10/10+x
= 13× 10 = 9( 10+x)
130 = 90 + 9x
9x = 130-90
9x = 40
x = 40/9
x = 4.44
therefore the value of CY is 4.44
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on a monte carlo roulette wheel, there are 37 slots: 18 red, 18 black, and 1 green. if you were to sit down and spin such a wheel 26 times, what would be the probability of duplicating the 26 straight blacks that occurred on august 18, 1913 at monte carlo?
If on a monte carlo roulette wheel, there are 37 slots: 18 red, 18 black, and 1 green, the probability of getting 26 straight blacks is approximately 3.143 x 10^-16.
The probability of duplicating the exact sequence of 26 straight blacks that occurred on August 18, 1913, is extremely low. Each spin of the wheel is an independent event, so the probability of getting a black on any given spin is always 18/37, regardless of what happened on previous spins.
To calculate the probability of getting 26 straight blacks, we can use the formula for the probability of a sequence of independent events, which is the product of the probabilities of each event. Therefore, the probability of getting 26 straight blacks is (18/37)^26, which is an extremely small number, approximately 3.143 x 10^-16.
Therefore, the probability of duplicating the 26 straight blacks that occurred on August 18, 1913, is so low that it's effectively impossible. It's important to note that each spin of the wheel is independent, so even if the wheel had produced 25 straight blacks, the probability of the next spin being black would still be 18/37.
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Find the percent of kci by a mass of a solution of 2 moles of kci dissolved in 1 liter of pure water (h2o). round to 1 decimal place. (k=39,ci=35)
13.0% of kci by a mass of a solution of 2 moles of kci dissolved in 1 litres of pure water
To find the percent of KCI in a solution of 2 moles of KCI dissolved in 1 liter of pure water (H2O), we first need to calculate the molar mass of KCI.
Molar mass of KCI = atomic mass of K + atomic mass of Cl = 39 + 35.5 = 74.5 g/mol
Next, we need to calculate the mass of KCI in the solution using the formula:
mass = moles x molar mass
mass of KCI
= 2 moles x 74.5 g/mol
= 149 g
Finally, we can calculate the percent of KCI in the solution using the formula:
percent of KCI = (mass of KCI / total mass of solution) x 100%
The total mass of the solution is equal to the mass of KCI plus the mass of water, which is:
total mass of solution
= 149 g + 1000 g
= 1149 g
So, the percent of KCI in the solution is:
percent of KCI
= (149 g / 1149 g) x 100%
= 12.96%
Rounding to one decimal place, the percent of KCI in the solution is approximately 13.0%.
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Five interior angles of a hexagon measure 119°, 129°, 104°, 139°, and 95°. What is the measure of the sixth angle?
Answer:
A
Step-by-step explanation:
ten families have an average of 2 children per family. if exactly two of these families are childless, what is the average number of children in the families with children? express your answer as a decimal to the nearest tenth.
Answer:
Step-by-step explanation:
If there are ten families and exactly two of them are childless, then there are 10 - 2 = 8 families with children.
The total number of children in these families is 8 x 2 = 16.
Therefore, the average number of children in the families with children is:
16 / 8 = 2
So the average number of children in the families with children is 2.0 (to the nearest tenth).
The average number of children in the families with children is 2.2.
To calculate this, first we need to determine the total number of children in the ten families. Since each family has an average of 2 children, this means that the total number of children in the ten families is 10 x 2 = 20.
Since two of these families are childless, this means that the total number of children in the remaining 8 families is 20 – 0 = 20.
Now, we need to determine the average number of children in the 8 families with children. To do this, we divide the total number of children (20) by the number of families with children (8):
20/8 = 2.5
Finally, we express the answer to the nearest tenth, which is 2.2.
In conclusion, the average number of children in the families with children is 2.2.
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Help againnnn pleaseeee
Answer:
20- gon
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
given the sum of the interior angles is 3240° , then
180° (n - 2) = 3240 ( divide both sides by 180° )
n - 2 = 18 ( add 2 to both sides )
n = 20
then the polygon is a 20- gon
rotate 270 degrees…what are the coordinates of B
PLS HELP
Answer:
8;-2
Step-by-step explanation:
8 is the x axis and -2 is the y axis
Answer:
Step-by-step explanation:
The length of the radius of a cylinder is twice its height. If its volume is 864x in', what is the
length of its radius?
A. 3 inches
B.6 inches
C. 12 inches
D. 24 inches
Answer: C. 12 inches
Step-by-step explanation: Let's use the formula for the volume of a cylinder, which is:
V = πr^2h
where V is the volume, r is the radius, and h is the height.
We ar given that the length of the radius is twice the height, which can be written as:
r = 2h
We are also given the volume of the cylinder, which is 864 cubic inches. Substituting the given values, we get:
864 = π(2h)^2h
Simplifying and solving for h:
864 =4πh^3
h^3 = 864/(4π)
h = 6
Now that we know the height of the cylinder is 6 inches, we can find the radius using the equation r = 2h:
r = 2(6) = 12 inches
Therefore, the length of the radius of the cylinder is 12 inches, which is option C.
It takes 2 ounces of paint to completely cover all 6 sides of a rectangular prism box, which holds 15 cups of sugar. Double the dimensions of the box. Hint: given k, areas are scaled by ____ and volumes are scaled by ____ Approximately how much paint would the new box need? How much sugar would it hold?
The new box would need approximately 8 ounces of paint and would hold 120 cups of sugar.
To find out how much paint the new box would need and how much sugar it would hold, follow these steps:
1. The original box holds 15 cups of sugar, and it takes 2 ounces of paint to cover it completely. When you double the dimensions of the box, areas are scaled by [tex]k^2[/tex] (k is the scale factor), and volumes are scaled by[tex]k^3.[/tex]
2. Since you double the dimensions, the scale factor k is 2.
3. The surface area of the box will be scaled by [tex]k^2, which is 2^2 = 4.[/tex]So, the new box will need 4 times the amount of paint that the original box needed. Since the original box needed 2 ounces of paint, the new box will need 2 × 4 = 8 ounces of paint.
4. The volume of the box will be scaled by [tex]k^3, which is 2^3 = 8[/tex]. So, the new box will hold 8 times the amount of sugar that the original box held. Since the original box held 15 cups of sugar, the new box will hold 15 × 8 = 120 cups of sugar.
In conclusion, the new box would need approximately 8 ounces of paint and would hold 120 cups of sugar.
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Find the X
geometry
Considering the two secant theorem, the measure of the far arc x is given as follows:
x = 104º.
What is the secant-tangent theorem?The two secant theorem states that if two secant lines intersect outside a circle, then the measure of the angle of intersection of the two secant lines is obtained as the difference between the measure of the far arc and the measure of the near arc, divided by two.
Hence the equation to obtain the measure of the angle of intersection is given as follows:
y = (far arc - near arc)/2.
The parameters for this problem are given as follows:
Far arc = x.Near arc of 44º.Angle of intersection of y = 30º.Hence the measure of the far arc x is obtained as follows:
(x - 44)/2 = 30
x - 44 = 60
x = 44 + 60
x = 104º.
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suppose that at your favorite restaurant to-go orders arrive at the rate of 10 per hour. assume that the numbers of to-go orders on different hours are independent. the distribution of the average number of to-go orders per hour over 700 random hours is
By using Central Limit Theorem, the distribution of to-go orders per hour over 700 random hours at a restaurant with a rate of 10 per hour can be approximated by a normal distribution with a mean of 10 and a standard deviation of 0.119.
The distribution of the average number of to-go orders per hour over 700 random hours can be approximated by the Central Limit Theorem (CLT). In this case, the population mean (μ) is 10 to-go orders per hour, and the population standard deviation (σ) can be calculated using the Poisson distribution formula:
σ = sqrt(μ) = sqrt(10) ≈ 3.162
The sample size (n) is 700, which is larger than 30, so we can use the CLT to approximate the distribution of the sample means. The mean of the sample means is equal to the population mean, which is 10 to-go orders per hour. The standard deviation of the sample means (also called the standard error) is equal to:
SE = σ / sqrt(n) = 3.162 / sqrt(700) ≈ 0.119
Therefore, the distribution of the average number of to-go orders per hour over 700 random hours is approximately normal with a mean of 10 and a standard deviation of 0.119
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help me please find the answer
In the given triangle, using angle bisectοr theοrem, the value οf the variable is 8.
What is triangle?A triangle is a pοlygοn with three edges and three vertices. It belοngs tο the basic geοmetric shapes. A triangle with the parts A, B, and C is referred tο as triangle ABC. Any three pοints that are nοt cοllinear in Euclidean geοmetry result in a separate triangle and a distinct plane.
What is angle bisectοr Theοrem?The angle bisectοr theοrem in mathematics is cοncerned with the prοpοrtiοns οf the twο segments that a line that bisects the οppοsite angle divides a triangle's side intο. It cοmpares their prοpοrtiοnal lengths tο the prοpοrtiοnal lengths οf the triangle's οther twο sides.
In the given triangle, using angle bisectοr Theοrem,
36/28 = q/(16-q)
On sοlving, we get
q = 9
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What is the value of (-14^0)^-2 a) 1/-196 b)1/196 c) 0 d) 1
From the given information provided, the value of the expression (-14⁰)⁻²
is 1 that is option d.
We need to follow the order of operations, which is to evaluate any exponents first, before performing any other operations.
Exponent rules are mathematical rules that describe how to simplify expressions that involve exponents.
(-14⁰)⁻² can be simplified as follows:
(-14⁰)⁻² = (-1)⁰ × 14⁰ × (-1)⁻² [Using the rule ([tex]a^m[/tex])ⁿ = [tex]a^(m*n)[/tex]]
(-14⁰)⁻² = 1 × 1 × 1/(-1)⁻² [Using the rule a⁰ = 1]
(-14⁰)⁻² = 1 × 1 × 1/1
(-14⁰)⁻² = 1
Therefore, the value of (-14⁰)⁻² is 1. Answer: d) 1
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Which choices are equivalent to the quotient below? Check all that apply. √50/√10
A.√25/√5
B.√15/√3
C.√5
D.15/3
E.√3
F.5
To simplify the quotient √50/√10, we need to factor out the largest perfect square that divides each radicand. In this case, we can factor out 25 from both 50 and 10 to get:
√50/√10 = √(252) / √(252) = √25 * √2 / √25 * √2 = √2
Therefore, the simplified form of the quotient is √2. Among the given choices, options B and E are equivalent to √2, as √15/√3 can be simplified as √(35)/√3 = √5 * √3 / √3 * √3 = √5/√3, and √3 is the same as √(31) and there is no √2 term in the denominator to combine with it. Hence, the options B and E are equivalent to the quotient √50/√10.