Answers
Answer:
[tex]m<LMJ = 86[/tex]
Step-by-step explanation:
1. Approach
First, use the sum of angles in a quadrilateral theorem to find the value of the parameter ([tex]x[/tex]). This theorem states that the sum of all angle measures in a quadrilateral is ([tex]360[/tex]). After finding the value of ([tex]x[/tex]), substitute it back into the given value for the ([tex]m<LMJ[/tex]), and solve.
2. Finding ([tex]x[/tex])
Remember, the sum of angle measures in any quadrilateral is 360 degrees, regardless of the quadrilateral type.
Using this knowledge, one can apply it by saying;
[tex]m<K + m<J + m<M + m<L = 360[/tex]
Substitution,
[tex](93) + (76) + (11x-2) + (14x - 7) = 360[/tex]
Combine like terms;
[tex]160 + 25x = 360[/tex]
Inverse operations;
[tex]160 + 25x = 360\\-160\\\\25x = 200\\/25\\\\x = 8[/tex]
3. Finding ([tex]m<LMJ[/tex])
Substitute back in to find the [tex]m<LMJ[/tex]
[tex]11x - 2\\\\x=8\\\\11(8) - 2\\\\88 - 2\\\\86[/tex]
Answer:
m∠M = 86
Step-by-step explanation:
the angles of a quadrilateral equal 360°, adding ∠K and ∠J together we get 169°.
360 - 169 = 191, meaning ∠L and ∠M have to add up to 191.
substitute the values of ∠L and ∠M to make the equation
14x -7 + 11x -2 = 191
combine like terms 14x + 11x and -2 - 7 to get 25x -9 =191
now solve for the value of x by first adding 9 to both sides and then dividing each side by 25 like so:
25x -9 = 191 → 25x = 200 → 25x = 200 → x = 8
+9 +9 /25 /25
Now put the value of x into the equation for angle M like this:
11(8) -2 = M and solve, 11×8 = 88, 88 -2 = 86, so the measure of ∠M is 86
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Answer:
TRUE!!!!!!!!!
Step-by-step explanation:
Before dividing, decompose 420 to make it easier to divide by 4.
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If g(x) is 11 then what is x
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, then g'(x) is equal to
Solution :
differentitate wrt x
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Box A contains 3 red and 2 blue marbles while Box B contains 2 red and 8 blue marbles. A fair coin is tossed. If the coin turns up heads, a marble is chosen from Box A; if it turns up tails, a marble is chosen from Box B.
A. Find the probability that a red marble is chosen.
B. Referring to above information, suppose that the person who tosses the coin does not reveal whether it has turned up heads or tails (so that the box from which a marble was chosen is not revealed) but does reveal that a red marble was chosen. What is the probability that Box A was chosen (i.e., the coin turned up heads)?
Answers
Answer:
A. [tex]\frac{4}{10}[/tex]
B. [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Given - Box A contains 3 red and 2 blue marbles while Box B contains 2
red and 8 blue marbles. A fair coin is tossed. If the coin turns up
heads, a marble is chosen from Box A; if it turns up tails, a marble
is chosen from Box B.
To find - A. Find the probability that a red marble is chosen.
B. Referring to above information, suppose that the person who
tosses the coin does not reveal whether it has turned up
heads or tails (so that the box from which a marble was
chosen is not revealed) but does reveal that a red marble was
chosen. What is the probability that Box A was chosen (i.e.,
the coin turned up heads)?
Proof -
As given ,
Box A : 3 red marbles and 2 blue marbles.
Box B : 2 red marbles and 8 blue marbles.
a.)
As we have to find the probability that a red marble is chosen.
A red marble is chosen in two different ways - either it can be from Box A or Box be .
If Box A is chosen , then Probability of red ball is [tex]\frac{3}{5}[/tex]
If Box B is chosen , Then Probability of Red ball is [tex]\frac{2}{10} = \frac{1}{5}[/tex]
Now,
Probability of Box A is Chosen = [tex]\frac{1}{2}[/tex]
Probability of Box B is chosen = [tex]\frac{1}{2}[/tex]
∴ we get
Probability that a Red marble is chosen = [tex]\frac{1}{2}[/tex]×[tex]\frac{3}{5}[/tex] + [tex]\frac{1}{2}[/tex]×[tex]\frac{1}{5}[/tex] = [tex]\frac{3}{10} + \frac{1}{10} = \frac{4}{10}[/tex] = 0.4
b.)
Now,
Probability that Box A is chosen given that Red marble is chosen is
P(Box A | Red marble ) = [tex]\frac{(\frac{3}{5})(\frac{1}{2}) }{(\frac{3}{5})(\frac{1}{2}) + (\frac{1}{5})(\frac{1}{2})} = \frac{\frac{3}{10} }{\frac{3}{10} + \frac{1}{10} } = \frac{\frac{3}{10} }{\frac{4}{10}}[/tex] = [tex]\frac{3}{4}[/tex]
6) The coordinates of the origin are
Answers
Answer:
(0,0)
Step-by-step explanation:
Required
Determine the coordinates of the origin
In geometry, the coordinates of the origin is the point where x and y are 0.
i.e.
[tex]x = 0[/tex] and [tex]y = 0[/tex]
So, the coordinate (x,y) is (0,0)
What is the distance of -a and a?
Answers
Step-by-step explanation:
Distance = positive value
a + a = 2a
Answer:
I think its 0
Step-by-step explanation:
becuase if you add the same number but on is negative and the other is positve it is always a 0.
Example:
10 + (-10) = 0
What percent is equivalent to 1/10?
Answers
Answer: 10%
Step-by-step explanation:
1/10 is equal to .10 or 10%
Answer:
10%
Step-by-step explanation:
Divide 1 by 10 and you get 0.10 :)
the difference of p and 7 is 30
Answers
thats you equation
Answer:
p = 37
p- 7=30
add seven to both sides and you get
p=37
(5,-6) and (2,-6) find the distance between each pair points in units
Answers
Answer:
The distance between the points is 3.
Step-by-step explanation:
Hope it helps ;)
g Suppose the population 10-year cumulative incidence of prostate cancer among 70-year old men is 0.06. Further, suppose 260 men without prostate cancer, aged 50 years were randomly sampled and 13 of them developed prostate cancer within 10 years. Is there evidence at the 0.05 significance level to conclude that the cumulative incidence of prostate cancer among 50-year old men differs from that of 70-year old men
Answers
Answer:
There is not enough statistical evidence to conclude that the cumulative incidence of prostrate cancer among 50-year old men differs from that of 70-year old men
Step-by-step explanation:
The population 10 year cumulative incidence of prostrate cancer among 70 year old men, p = 0.06
The number of 50 year old men in the sample, n = 260 men
The number of the sampled men that developed prostrate cancer = 13 men
The significance level, α = 0.05
Let the null hypothesis, H₀: [tex]\hat{p}[/tex] = p
The alternative hypothesis, Hₐ: [tex]\hat{p}[/tex] ≠ p
The standard score, [tex]z_{\alpha /2}[/tex] = 1.96
The test statistic, 'z', is given as follows;
[tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p \cdot q}{n}}}[/tex]
[tex]\hat{p}[/tex] = 13/260 = 0.05
q = 1 - p = 1 - 0.06 = 0.94
[tex]Therefore, \ z=\dfrac{0.05-0.06}{\sqrt{\dfrac{0.06 \times 0.94}{260}}} = \dfrac{\sqrt{9165} }{141} \approx -0.68[/tex]
From the z-table, we find the p-value as follows;
P(z ≈ -0.68) = 0.24825
Therefore, given that the p-value, 0.24825 is larger than the significance level, α/2 = 0.025, we fail to reject the null hypothesis, and therefore, there is not enough statistical evidence to conclude that the cumulative incidence of prostrate cancer among 50-year old men differs from that of 70-year old men
Lula has two dogs, one 35 pounds, the other 25 pounds. What is the average weight of Lula's dogs?
Answers
Answer:
30
Step-by-step explanation:
25+35= 60
60/2=30
Answer: 30
Step-by-step explanation:
The term average has a number of different meanings. Most generally, it is a single number that is used to represent a collection of numbers. In the context of mathematics, "average" refers to the mean, specifically, the arithmetic mean. It is a relatively simple statistical concept that is widely used in many areas.
The equation below is one of the more commonly understood definitions of the average: [tex]Average =[/tex] [tex]\frac{Sum}{Count}[/tex]
Find the radius of a circle if its center is (2,3) and one point on the circle is (5,3).
Answers
Answer:
Step-by-step explanation:
radius = distance between (2,3) and (5,3) = √[(5-2)² + (3-3)²] = 3
The required radius of the circle is
center is (2,3)
point on the circle is (5,3).
What is radius?
Radius of the circle is the distance between the center to the circumference.
Radius = [tex]\sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2}[/tex]
=[tex]\sqrt{(5-3)^2-(3-3)^2}[/tex]
Radius = [tex]\sqrt{4}[/tex]
Radius = 2
Thus, the required radius is 2 .
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Which expression represents the product of x^3+2x-1 andx^4-x^3+3
Answers
Answer: x^4 + 2x + 2
Step-by-step explanation:
I just took the test. :)
Answer: x^4 + 2x + 2
Step-by-step explanation:
Big brain
8,626 round to the nearest thousand?
Answers
Answer:
9000
Step-by-step explanation:
What is the area of the triangle?
8
4
Answers
8x4=32
32 divide by 2 is
16
Please help will give lot of points
Answers
Answer:
C
B
A
Step-by-step explanation:
Graph:
what does l-7l mean and whats its value NEED HELP
Answers
The area of the parallelogram is___ cm2
Answers
Answer:
Step-by-step explanation:
Area of parallelogram=base×perpendicular height
Area of para.= 7×14
Area of para.= 98cm²
Solve the inequality for v.
5v-9> 66
Answers
Answer:
v>15
Step-by-step explanation:
add 9 to 66
5v>75
v>15
Answer: v>15
Step-by-step explanation:
The inequality can be treated as an equal sign and solved normally. Add 9 to both sides to get 5v>75, then divide to get v>15.
NOTE: If an inequality is divided by a negative number, the sign flips (> to <, etc.)
The sum or two numbers is 59. the larger number is 15 more than the smaller number. What are the numbers
Answers
Answer: 37 and 22
Step-by-step explanation:
x + y = 59
x = 15 + y (substitute x as 15 + y into the first equation)
15 + y + y = 59
2y + 15 = 59
2y = 44
y = 22
substitute y as 22 into one of the equations
x = 15 + 22
x = 37
Al abrir su alcancía Beatriz encontró que entre monedas de 5, 10 y 25 centavos completaba $ 9.50. Encontró igualmente que el número de monedas de 10 centavos era el triple de las de 25 centavos y que las de 5 centavos era el doble de las de 10 centavos. ¿Cuántas monedas de cada denominación había en la alcancía?}
Answers
Answer:
67 monedas de 5, 34 de 10 y 11 de 25.
Step-by-step explanation:
Representemos el primer enunciado de manera algebraica:
[tex]5x+10y+25z =950[/tex] (1)
Donde:
x es el numero de monedas de 5y es el numero de monedas de 10 z es el numero de monedas de 25Ahora, el número de monedas de 10 centavos era el triple de las de 25 centavos y que las de 5 centavos era el doble de las de 10 centavos, se puede representar como:
[tex]y=3z[/tex] (2)
[tex]x=2y[/tex] (3)
Combinado las eacuaciones (1), (2) y (3) tenemos:
[tex]5(2y)+10y+25(\frac{y}{3}) =950[/tex]
[tex]10y+10y+\frac{25}{3}y =950[/tex]
[tex]\frac{85}{3}y =950[/tex]
[tex]y =34[/tex]
Por lo tanto el valor de x y z seran:
[tex]x=2(34)[/tex]
[tex]x=68[/tex]
[tex]z=11[/tex]
Si ponemos cada valor en la equacion (1), tenemos:
[tex]5(68)+10(34)+25(11) =955[/tex]
Como el resultado da 955 hay un excedente de 5 pesos, asi que finalmente tendremos.
x = 67
y = 34
z = 11
Espero te haya serrvido!
HELP HELP HELP!!! NUMBER 3 PLEASE!!!
Answers
Answer:
see the attachment, answers there
What is the measure of angle A?
Enter your answer as a decimal in the box. Round your final answer to the nearest hundredth.
Answers
Answer: 45 degrees
Step-by-step explanation:
What is the sum (2 – 3i) + (-4-2i) ?
Answers
The sum of the complex numbers (2 – 3i) and (-4-2i) is -2 - 5i.
Complex numbers are numbers of the form a + bi, where a and b are real numbers and i is the imaginary unit, satisfying the equation [tex]i^2[/tex] = -1. The real part of a complex number is denoted by Re(z) = a, and the imaginary part is denoted by Im(z) = b.
Complex numbers can be added, subtracted, multiplied, and divided in a similar way to real numbers. The addition and subtraction of complex numbers is done by adding or subtracting the real and imaginary parts separately.
To find the sum of complex numbers, we add their real parts and their imaginary parts separately. Let's calculate the sum of the given complex numbers:
(2 - 3i) + (-4 - 2i)
Real part: 2 + (-4) = -2
Imaginary part: (-3i) + (-2i) = -5i
Therefore, the sum of (2 - 3i) + (-4 - 2i) is -2 - 5i.
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I need to multiply 10,170 by 0.775
Answers
Answer:
7881.75
Step-by-step explanation:
10,170x0.775
Answer:
7881.75
Step-by-step explanation:
a number added to one third of itself equals 12 . what is the number
Answers
Answer:
9
Step-by-step explanation:
x+1/3x=12
(3x+1x)/3=12
4x/3=12
4x=12×3
4x=36
x=36/4
x=9
Answer:
1/3+x=12(cross multiply)
x+1=12*3
x+1=36(collect like terms)
x=36-1
x=35
Mia buys 4 ¼ pounds of plums. Her total cost after using a coupon for 55 cents off her entire purchase was $3.23. Write an equation to represent this situation.
Try to answer these
What is the total?
What will make the total - in words (be precise)
Write the words out as an equation
What don’t you know?
Write the algebraic equation.
Answers
Answer: I tried to help but i just got confused
Sorrry I didnt know the answer
What is the multiplicative inverse of y?
Answers
Answer:
The multiplicative inverse of y is [tex]\frac{1}{y}[/tex].
Step-by-step explanation:
Multiplicative inverse implies a value that you would multiply with the given value so as to give 1.
Let the multiplicative inverse of y be represented by a, so that;
a x y = 1
ay = 1
divide both sides by y to have,
a = [tex]\frac{1}{y}[/tex]
Thus, the multiplicative inverse of y is [tex]\frac{1}{y}[/tex].
This is applicable to any given value. Examples:
i. Given 2, the multiplicative inverse is [tex]\frac{1}{2}[/tex].
⇒ 2 x [tex]\frac{1}{2}[/tex] = 1
ii. What is the multiplicative inverse of 5?
The required answer is [tex]\frac{1}{5}[/tex].
A body starts from rest and
accelerates uniform at 5 ms2.
calculate the time taken
by the body to cover a
distance of
1km
Answers
Quadrilateral ABCD is reflected over the x-axis. What are the coordinates of
quadrilateral A'B'C'D?
Answers
Answer: A
Step-by-step explanation:
X values to the right of the y axis are positive. X values to the left of the y axis are negative.
Y values above the x axis are positive.
Y values below the x axis are negative.
Pairs of coordinates are always noted as (x,y) with the x value of a point given first and the y value of that same point given second.
Answer:
AStep-by-step explanation:
Let A=(a,b) then the reflected over the x-axis will be A'=(a,-b)
A=(5,5) --> A'=(5,-5)
B=(5,1) --> B'=(5,-1)
C=(2,1) --> C'=(2,-1)
D=(1,5) ---> D'=(1,-5)