2 occurred 3times
[tex]\\ \sf\longmapsto S=6\times 3=18[/tex]
[tex]\\ \sf\longmapsto |S|=18[/tex]
Now
[tex]\\ \sf\longmapsto E=No\:of\:times\: 2\:occured[/tex]
[tex]\\ \sf\longmapsto |E|=3[/tex]
we know
[tex]\boxed{\sf P(E)=\dfrac{|E|}{|S|}}[/tex]
[tex]\\ \sf\longmapsto P(E)=\dfrac{3}{18}[/tex]
[tex]\\ \sf\longmapsto P(E)=\dfrac{1}{6}[/tex]
Insert seven rational numbers between 2 and 3.
Answer:
5/2, 7/3, 9/4, 11/5, 13/6, 15/7,17/8
Step-by-step explanation:
Answer:
2/1
2.5
2whole number6/4
if 1/a=1/b+1/c+1/d find c when a=2, b=3 and d=5
guys help me with this question please
Answer:
c is -30
Step-by-step explanation:
I. 1/a - 1/b - 1/d = 1/c
II. 1/2 - 1/3 - 1/5 = 1/c
III. (15-10-6)/30 = 1/c
IV. -1/30 = 1/c
V. so c.value is -30
If 4x + 2y = 14 and x - 2y = 6, what is the value of y?
Answer:
y is -1
Step-by-step explanation:
[tex]4x + 2y = 14 - - - (a) \\ x - 2y = 6 - - - (b)[/tex]
(a) + (b):
[tex]5x = 20 \\ x = 4[/tex]
therefore:
[tex]x - 2y = 6 \\ 4 - 2y = 6 \\ 2y = - 2 \\ y = - 1[/tex]
Answer:
y must be -1
Step-by-step explanation:
We are given the system of linear equations
4x + 2y = 14
x - 2y = 6
and need to find the value of y. Combining the two equations yields
5x = 20, and so we know that x must be 4.
If x is 4, then the second equation becomes 4 - 2y = 6, or -2y = 2.
Then y must be -1.
If tanx+cotx=2 then Cosx =?
Answer:
sqrt(2)/2
Step-by-step explanation:
tan(x) and cot(x) are both 1 when x=pi/4 and since 1+1=2, then we just need to evaluate cos(pi/4) which equals sqrt(2)/2.
Solve for x. Leave your answer in simplest radical form. *Giving brainliest*
Answer:
x= 10.630145
I hope it's helps you
ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!
Answer:
55%
Step-by-step explanation:
Can someone find this for me please?
Answer:
the larger one is 183
Step-by-step explanation:
[tex]x + y = 262 \\ x - y = 104 \\ y = 262 - x \\ x - (262 - x) = 104 \\ x - 262 + x = 104 \\ 2x = 104 + 262 \\ 2x = 366 \\ x = 183 \\ y = 262 - 183 \\ y = 79[/tex]
The volume of this cube is 2.744 cubic meters. What is the value of t?
Answer:
t = 1.4 meters
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
2.744 = t^3
Take the cube root of each side
(2.744) ^ 1/3 = t^3 ^ 1/3
1.4 = t
please help me T-T.......
Hi
1) f(x)= 0.9 x
2) g(x) = x-100
3) f °g. is first apply g then f. so :
f°g = 0.9 ( x-100) = 0.9x-90
4) g°f. is first apply f then g
so g°f = (0.9x) -100 = 0.9x-100
I let you conclude which is the best deal :)
BRAINLEST IF CORRECT
Answer:
422.39
Step-by-step explanation:
[tex]A = \pi r^2\\A = 144\pi \\\\144\pi -30 = 422.39[/tex]
use a calculator for the above and round
2x+3y=19 // 6x+2y=22
Answer:
(2, 5 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = 19 → (1)
6x + 2y = 22 → (2)
Multiplying (1) by - 3 and adding to (2) will eliminate the x- term
- 6x - 9y = - 57 → (3)
Add (2) and (3) term by term to eliminate x
0 - 7y = - 35
- 7y = - 35 ( divide both sides by - 7 )
y = 5
Substitute y = 5 into either of the 2 equations and solve for x
Substituting into (1)
2x + 3(5) = 19
2x + 15 = 19 ( subtract 15 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
solution is (2, 5 )
* if my savings of $x grows 10% each year how much money would i have in 1 year
I WILL MARK BRAINLIEST
Answer:
10/100*$x
Step-by-step explanation:
You will multiply the $x by 10%
Can anyone help me with this?
8.6
Answer:
Solution given:
[tex]\bold{\sqrt{74}=8.60232526704≈8.6}[/tex]
Answer:
[tex]8.6[/tex]
Step-by-step explanation:
Step 1: Find the approximate value of [tex]\sqrt{74}[/tex]
[tex]\sqrt{74}[/tex]
[tex]\sqrt{74}[/tex] ≈ [tex]8.6[/tex]
Answer: [tex]8.6[/tex]
Will Mark Brainlest Help pls
Answer:
Hello,
[tex]\begin{bmatrix}-2&2\\3&5\\\end{bmatrix}\\\\[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}2&3\\5&7\end{bmatrix}-A=\begin{bmatrix}3&1\\-2&-3\end{bmatrix}+\begin{bmatrix}1&0\\0&1\end{bmatrix}\\\\\\\begin{bmatrix}2&3\\5&7\end{bmatrix}-A=\begin{bmatrix}2&3\\5&7\end{bmatrix}-\begin{bmatrix}4&1\\-2&-2\end{bmatrix}\\\\\\A=\begin{bmatrix}-2&2\\3&5\end{bmatrix}\\\\[/tex]
6. Solve for x!! please help!
x/2 = -7
=> x = -7 × 2
=> x = -14
Answer:
x=-14
Step-by-step explanation:
[tex]\frac{x}{2} =-7\\\\x=-14\\[/tex]
If x^2-ax+b and x^2-cx+d both have a factor x-m prove that m=d-b/c-a
Answer:
see explanation
Step-by-step explanation:
Given (x - m) is a factor of both then x = m make both expressions equal to zero.
m² - am + b = 0
m² - cm + d = 0
Then
m² - am + b = m² - cm + d ( subtract m² - cm from both sides )
cm - am + b = d ( subtract b from both sides )
cm - am = d - b ← factor out m from each term on the left side
m(c - a) = d - b ← divide both sides by (c - a)
m = [tex]\frac{d-b}{c-a}[/tex] ← as required
.The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 square feet. Let y represent the number of square yards and x the number of square feet. Then y varies directly with x.
What is the constant of variation?
What is the equation representing the direct variation?
Answer:
The constant of variation is 1/9
The equation representing the direct variation is y/x= 1/9
Step-by-step explanation:
In direct variation, y/x=k denotes the equation, with k being the constant of variation. Here, y is the number of square yards and x is the number of square feet. Therefore, as we know that 27 square feet = 3 square yards, we can write one point (x₁, y₁) as (27 square feet, 3 square yards). Plugging x₁ and y₁ into our equation, we get
y/x = k
3 / 27 = k
(3/27) / (3/3) = 1/9* = k
Therefore, the constant of variation is 1/9
Next, as stated previously, y/x = k represents the equation of direct variation. Therefore, y / x = 1/9 as our equation
* because 3 is a factor of both 3 and 27, we can divide both the numerator and denominator by 3 to keep the fraction the same but also simplify it. One way to find the greatest common factor is to list the factors of each number and see the highest number that is a factor of both
The constant of variation is "1/9" and the equation representing the direct variation is y = (1/9)x.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The equation of direct variation is given by,
y = kx ....(i) where "k" is a constant.
Let y represent the number of square yards and x the number of square feet. Then y varies directly with x.
Given that y varies directly with x, and x = 27, then y = 3.
Substitute the values of y = 3 and x = 27 in the direct variation equation and solve for k:
⇒ 3 = 27k
⇒ k = 3/27
⇒ k = 1/9
Substitute the values of k = 1/9 in the direct variation equation :
⇒ y = (1/9)x
Thus, the constant of variation is "1/9" and the equation representing the direct variation is y = (1/9)x.
Learn more about the equations here:
brainly.com/question/10413253
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Find the value of -3x + 5,
if –3 + 4x = -19
Answer:
17
Step-by-step explanation:
Solve the equation for x then plug that into the 1st expression.
-3 + 4x = -19
4x = -19 + 3
4x = -16
x = -4
then
-3x + 5
-3(-4) + 5 = 12 + 5 = 17
Find the slope of the line that passes through (-26, 9) and (32, 71).
Answer:
[tex]Slope = \frac{31}{29}[/tex]
Step-by-step explanation:
Step 1: Define the slope formula
[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Step 2: Find the slope
[tex]Slope = \frac{71-9}{32-(-26)}[/tex]
[tex]Slope = \frac{62}{58}[/tex]
[tex]Slope = \frac{31}{29}[/tex]
Answer: [tex]Slope = \frac{31}{29}[/tex]
For the polynomial, (((x^3)+3x+2)/5)+((5x^2)/2)-(x^6)
a. Determine the coefficient of x^3.
b. Determine the coefficient of x^6.
c. Determine the constant of the term
polynomial.
d. Determine the degree of the polynomial.
Answer:
Hello,
Step-by-step explanation:
[tex](((x^3)+3x+2)/5)+((5x^2)/2)-(x^6)\\\\=\dfrac{x^3}{5} +\dfrac{3*x}{5} +\dfrac{2}{5} +\dfrac{5*x^2}{2} -x^6\\\\\\=-x^6+0x^5+0x^4+\dfrac{x^3}{5} +\dfrac{5*x^2}{2} +\dfrac{3*x}{5}+\dfrac{2}{5} \\\\\\a)\ \dfrac{3}{5} \\\\b)\ -1\\\\c)\\degree=6\\[/tex]
2. For all real numbers x and y, (2x + 3y)² = ?
Answer:
Step-by-step explanation:
(a + b)² = a² + 2ab + b²
a = 2x ; b = 3y
(2x)²= 2x * 2x = 4x²
(3y)² =3y * 3y = 9y²
(2x + 3y)² = (2x)² + 2 *2x*3y + (3y)²
= 4x² + 12xy + 9y²
Complete the steps to solve the equation. 9 – 4x = 2x 1. Addition property of equality: 9 = 6x 2. Division property of equality: = x
Answer:
x = 3/2
Step-by-step explanation:
Given:
9 - 4x = 2x
Step 1: Addition property of equality
9 - 4x + 4x = 2x + 4x
9 = 6x
Step 2: Division property of equality:
9 = 6x
9/6 = 6x/6
9/6 = x
x = 9/6
= 3/2
x = 3/2
Check:
9 - 4x = 2x
9 - 4(3/2) = 2(3/2)
9 - 12/2 = 6/2
9 - 6 = 3
3 = 3
PLEASE HELP ASAPP :(
Find the area of triangle ABC.
Answer Options:
A. 18.52 units²
B. 12.16 units²
C. 15.14 units²
D. 31.27 units²
Answer:
Option C, 15.14 units²
Step-by-step explanation:
area of the triangle,
6.82×5.04×sin(61.73)/2
= 15.1365001284..
= 15.14 units² (rounded to the nearest tenth)
The required area of the irregular triangle is 15.14 unit². Option C is correct.
Given that,
A figure of the triangle is shown,
Side AB = a =6.82
Side BC = b = 5.04
Angles, ∠A = 45.03°, ∠B = 61.73°.
The triangle is a geometric shape which includes 3 sides and the sum of the interior angle should not be greater than 180°.
Altitude is perpendicular bisector to the side of the triangle from the opposite vertex of the triangle.
The area of the given triangle can be given as,
Area = 1/2 * a * b sinB
= 1/2 * 6.82 * 5.04 * sin61.73°
= 1/2 * 6.82 * 5.04 * 0.88
= 15.14 unit²
Thus, the required area of the irregular triangle is 15.14 units². Option c is correct.
Learn more about triangles here:
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Look at this graph:
100
90
80
70
60
50
40
30
20
10
х
0
10 20 30 40 50 60 70 80 90 100
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
See pic below.
slope = 2/3
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
It's algebra I need help with 6-8/(-4) if you could please put the order of operations down to that would be so helpful.[tex]6-8/(-4)[/tex]
NO LINKS
Answer:
Step-by-step explanation:
Do the subtraction in the numerator first. 6 - 8 = -2. So now we have
[tex]\frac{-2}{-4}[/tex] negative divided by a negative is a positive and that fraction reduces to
[tex]\frac{1}{2}[/tex]
Determine the sum of the measures of the exterior angles of a convex hexagon (6-sided polygon). Question 1 options: 360° 540° 720° 1,080°
Answer:
360°
Step-by-step explanation:
The sum of the exterior angles of any polygon = 360°
The sum of the measures of the exterior angles of a convex hexagon will be 360°. Then the correct option is A.
What is a regular hexagon?The complete polygonal shape of a regular hexagon has six rotational symmetry and six equal angles. Any periodic polygon has symmetrical sides and angles on all vertices.
The external angle of the regular hexagon will be given as,
External angle = 360° / 6
External angle = 60°
Then the sum of the measures of the exterior angles of a convex hexagon will be
⇒ 60° x 6
⇒ 360°
The sum of the measures of the exterior angles of a convex hexagon will be 360°.
Then the correct option is A.
More about the regular hexagon link is given below.
https://brainly.com/question/1694257
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If $a$ and $b$ are positive integers such that $\gcd(a,b)=210$, $\mathop{\text{lcm}}[a,b]=210^3$, and $a
Answer:
[tex]a * b = 210^4[/tex]
Step-by-step explanation:
Given
[tex]a,b>0[/tex]
[tex]gcd(a,b) = 210[/tex]
[tex]lcm(a,b) = 210^3[/tex]
Required
The product of a and b --- missing from the question
To do this, we make use of the following formula:
[tex]a * b = gcd(a, b) * lcm(a, b)[/tex]
So, we have:
[tex]a * b = 210 * 210^3[/tex]
Using the product law of indices, we have:
[tex]a * b = 210^4[/tex]
This means that the product of a and b gives [tex]210^4[/tex]
How many significant digits are there in the number 1.00250? OA) 7 OB) 6 OC) 5 OD) 4
Answer:
OB
Step-by-step explanation:
start counting from 1
Then your significant digit is 6
Write an inequality and show on a number line all numbers:
less than 4 but greater than or equal to 0
Answer:
the inequality is 0<x<4
Step-by-step explanation:
(0,4)
10. A local park is located on a triangular piece of land. What is the area of the park to the nearest tenth? (1 point) S 75 m 40° R 150 m T Area = m2
Answer:
Area equals to 3615.7
Step-by-step explanation:
So first in order to get the area of the triangle you need to have it’s height and base. We know the base is 150m(you can choose another base too), and we need to get the height.
In order to get the height we can see the triangle as two right triangle spreaded by the height. Now looking at the right triangle at the left hand, realized this triangle has a 40, a 90 degree angle and a side of 75.
Next using the law of sines, and plot the numbers in:
a = b(sinα/sinβ)=75(sin(40°)/sin(90°))≈48.20907
Now calculat the area;
Area = 1/2 bh = 1/2 (150x48.20907) ≈ 3615.6765
I attached a graph below that may help to see will all the things go
