Answer:
1/7
Step-by-step explanation:
Probability is the likelihood or chance that an event will occur. this is expressed as;
Probability = Expected outcome/Total outcome
From the question, the total number of marbles is the total outcome
Total outcome = 5x + 2x + 3x + 4x
Total outcome = 14x
Since we are to find the probability of selecting a green marble, the expected outcome will be total number of green marbles which is 2x
Pr(selecting green marbles) = 2x/14x
Pr(selecting green marbles) = 1/7
Hence the probability of selecting a green marble is 1/7
Cameron has 75% as many shirts as her brother how many shirts does your brother have if Cameron has nine shirts
Brandon enters bike races. He bikes 8 1/2 miles every 1/2hour. Complete the
table to find how far Brandon bikes for each time interval.
Answer:
1h = 8.5 x2 = 17
1 1/2h = 8.5 x3 = 25.5
2h = 8.5 x4 = 34
2 1/2h = 8.5 x5 = 42.5
what is value of X on this triangle
Answer:
x = 11.4715
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
Angle θ = 35°
Opposite Leg = x
Hypotenuse = 20
Step 2: Solve for x
Substitute [Sine]: sin35° = x/20Isolate x: 20sin35° = xRewrite: x = 20sin35°Evaluate: x = 11.4715Factor each polynomial
Answer:
17g(2g + 1)(g + 1)
Step-by-step explanation:
34g^3 + 51g^2 + 17g
find a common factor, all of them have at least 1 g and they can all be divided by 17
17g(2g^2 + 3g + 1)
17g(2g + 1)(g + 1)
Whats the decimal expansion for fraction 7/9?
Answer:
0.7777777777778
Step-by-step explanation:
or the line over the last 7
How many area codes (ABC) would be possible if the first 2 digits can be any number 2-9 & last digit can be any number 0-9?
A. 640
B. 25
C. 729
D. 1000
Which expression is equivalent to (1/2(cos(pi/5)+ i sin(pi/5)))^5
a. 1/32(cos(pi/5) + i sin (pi/5))
b. 1/32(cos(pi) + i sin (pi))
C. 1/10(cos(pi/5) + i sin (pi/5))
d. 1/10(cos(pi) + i sin (pi))
Answer:
B
Step-by-step explanation:
did the course
The equivalent complex expression of [tex](\frac{1}{2}(cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5[/tex] is
[tex]\frac{1}{32} (cos(\pi)+i~sin(\pi))[/tex]
The correct answer is an option (b)
What is complex number?"The number of the form a + ib, where a, b are real numbers and [tex]i=\sqrt{-1}[/tex]"
What is De Moivre's theorem?"This theorem gives a formula for computing powers of complex numbers.
[tex](r(cos\theta+i~sin\theta))^n=r^n~(cos(n\theta)+i~sin(n\theta))[/tex] "
For given question,
We have been given a complex expression [tex](\frac{1}{2}(cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5[/tex]
Using the DeMoivre's theorem,
[tex](\frac{1}{2}(cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5\\\\=(\frac{1}{2})^5~((cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5\\\\=\frac{1}{32} (cos(\frac{5\pi}{5} )+i~sin(\frac{5\pi}{5} )) )\\\\= \frac{1}{32} (cos(\pi)+i~sin(\pi))[/tex]
Therefore, the equivalent complex expression of [tex](\frac{1}{2}(cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5[/tex] is
[tex]\frac{1}{32} (cos(\pi)+i~sin(\pi))[/tex]
The correct answer is an option (b)
Learn more about the De Moivre's theorem here:
https://brainly.com/question/17211848
#SPJ3
What is 1/5 ÷ 1/2 ? Explain or show your reasoning.
Answer:
The answer is 2/5.
Step-by-step explanation:
First, use the stay-switch-flip method. Keep 1/5 the same, switch the division sign into a multiplication sign, and flip the numerator and the denominator of 1/2 to get 1/5 x 2/1. Multiply the numerators. 1 x 2 = 2. Now, multiply the denominators. 5 x 1 = 5. Therefore, you're answer is 2/5.
Hope this helps! Please mark Brainliest.
At the school carnival, the sixth graders are making directional arrows, as shown below.
6 inches
10 inches
7 inches
4 inches
Each arrow is to be painted red. How much area needs to be painted for 1 arrow? (1 point)
If f(x) = -8x + 2, then i
8x + 2. then '(x) =
What is this one
Answer:
as for the other stuff you need to update my 45=44
7 x [(7+7) divided 7] =
BIDMAS
Step-by-step explanation:
FIRST DO 7+7÷7 AND TIMES THE ANSWER BY 7
Answer:
14
Step-by-step explanation:
Which unit rate is the lowest price per ounce? (5 points)
Choice A: 21 ounces of raisins for $3.59
Choice B: 36 ounces of raisins for $4.79
Choice A
Choice B
The unit rates are equal.
The unit rates cannot be determined.
a
O
b
Od
Answer:
Choice B
Step-by-step explanation:
Choice A: 1 ounce of raisins for ~$0,17
Choice B: 1 ounce of raisins for ~$0,13
Please help would mean a lot
Answer:
C maybe.........
Step-by-step explanation:
Answer:
The principle that guides Supreme Court justice to follow precedent when ruling on cases is called Stare decisis
Determine the equation of the line that passes through the given points (if you have a graphing calculator, you can us the table feature to confirm that the coordinates of both points satisfy your equation)
(-5, 10) and (5, -10)
a. y = 2x -10
b. y = 2x
c. y = -2× + 20
d. y = -2×
Answer:
d. y = -2×
Step-by-step explanation:
First to solve find the slope using the formula, [tex]\frac{10+10}{-5-5}[/tex]. The slope equals 20/-10 or -2. Then plug the slope and point, (-5,10), into slope-point form. y-10=-2(x+5), then solve for y. This gives you y=-2x+0 or y=-2x.
On the average, a grocer sells three of a certain article per week. How many of these should he have in stock so that the chance of his running out within a week is less than 0.01
Answer:
7
Step-by-step explanation:
This is a Poisson distribution problem with the formula;
P(x;μ) = (e^(-μ)) × (μ^(x))/x!
We are told that the grocer sells three of a certain article per week. Thus;
μ = 3
Now, we want to find out How many of these should he have in stock so that the chance of his running out within a week is less than 0.01.
This means;
P(X > k) < 0.01
This can be rewritten as;
P(X ≤ k) < 0.99
Let's try x = 8
P(8;3) = (e^(-3)) × (3^(8))/8!
P(8;3) = 0.008
But; P(X ≤ 8) = 1 - 0.008 = 0.992
This is more than 0.99 and thus is not the answer
Let's try x = 7
P(7;3) = (e^(-3)) × (3^(7))/7!
P(7;3) = 0.022
But; P(X ≤ 7) = 1 - 0.022 = 0.978
Thus is less than 0.99.
Thus, stock should be 7
HELP PLEASE PLEASE PLEASE!!!! WILL GIVE BRAINLIEST
9514 1404 393
Answer:
y ≈ 12.3
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to help you remember the relationship between trig functions and side of a right triangle. In particular, when the adjacent side and hypotenuse are involved, the desired relation is ...
Cos = Adjacent/Hypotenuse
cos(35°) = y/15
y = 15·cos(35°)
y ≈ 12.3
Find another way to name the plane M shown in the figure
Answer:
Plane RTS
Step-by-step explanation:
Answer: Choice D) Plane PQY
==========================================================
Explanation:
By definition, a plane is formed by 3 non-collinear points. The three points cannot all be on the same line. If you had 3 points on the same line, then infinitely many planes are possible. Imagine the plane spins around the line as a sort of fan blade.
Choice A can be ruled out because points R, T, and S are all on the same line. They are collinear points. Using these three points is not enough to properly identity/label this plane, since infinitely many other planes could result.
Choices B and C can also be ruled out for similar reasons.
Choice D is correct because points P, Q, and Y are all in plane M, and also because they are not all on the same line.
Side note: another way to phrase "a plane is formed by 3 non-collinear points" is to say "a plane is formed by 3 points that form a triangle".
Hamburger costs $1.49 for 1/2 pound. How much would the hamburger cost for a whole pound?
Answer:$2.98
Step-by-step explanation:
PLEASE HELP DUE IN 5 MIN
YALL PLZ HELP WILL GIVE THANKS+BRANLIEST AND I REALLY NEED HELP! the length of the box is 2 1/2m, it is 1 9/16 times its width. what is the height of the box if its volume is 12 3/4m3?
Answer:
3.19 m
Step-by-step explanation:
L = 2.5
W x 25/16 = 2.5
w = 2.5 x 16 / 25 = 1.6
LWH = V
H = V / LW = (12 3/4) / (2.5 x 1.6) = 3.19
Giving 15 point please help
Answer:
8. x=-5 and y=7
9. x=-2 and y=0
10. x=-6 and y=-10
11. x=8 and y=-4
12. x=9 and y=-9
13.x=4 and y=10
14. x=5 and y=-7
Step-by-step explanation:
x+2y=13
3x-5y=6
what is (x,y)?
Answer:
x+2y=13
Step 1: Add -2y to both sides.
x+2y+−2y=13+−2y
x=−2y+13
Answer:
x=−2y+13
Step 1: Add 5y to both sides.
3x−5y+5y=6+5y
3x=5y+6
Step 2: Divide both sides by 3.
3x
3
=
5y+6
3
x=
5
3
y+2
Answer:
x=
5
3
y+2
Step 1: Add -3x to both sides.
3x−5y+−3x=6+−3x
−5y=−3x+6
Step 2: Divide both sides by -5.
−5y
−5
=
−3x+6
−5
y=
3
5
x+
−6
5
Answer:
y=
3
5
x+
−6
5
Step-by-step explanation:
Answer:
(7, 3)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
x + 2y = 13
3x - 5y = 6
Step 2: Rewrite Systems
x + 2y = 13
Subtract 2y on both sides: x = 13 - 2yStep 3: Redefine Systems
x = 13 - 2y
3x - 5y = 6
Step 4: Solve for y
Substitution
Substitute in x: 3(13 - 2y) - 5y = 6Distribute 3: 39 - 6y - 5y = 6Combine like terms: 39 - 11y = 6Isolate y term: -11y = -33Isolate y: y = 3Step 5: Solve for x
Define equation: x + 2y = 13Substitute in y: x + 2(3) = 13Multiply: x + 6 = 13Isolate x: x = 7I need help pls help
Answer:
v = 80 cubic units
Step-by-step explanation:
The formula for a rectangular prism is: v = lwh
l = length
w = width
h = height
v = 8 x 2 x 5
v = 16 x 5
v = 80
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
25/8 in decimal form
Answer:
3.125
Step-by-step explanation:
Answer:
25/8 in a decimal form is
Step-by-step explanation:
3.125
Out of 482 employees at the Coca Cola plant 37 are taking a vacation next week what percentage of employees are not vacationing
Answer:
92.3% are not vacationing
Step-by-step explanation:
482 - 37 = 445
445 * 100 / 482 = 92.3
Can sum kne s help I need it
Step-by-step explanation:
-17z - 12 + 15z = -12 - 2z
-2z - 12 = -2z - 12
-12 = -12
Since this statement is always true for all real values of z, there are infinitely many solutions.
WILL MARK BRAINLIEST! please help! Find the measure of the indicated angle to the nearest degree.
Answer:
14
Step-by-step explanation:
What is the length of each leg of the triangle below?
Answer:
F
Step-by-step explanation:
Please help its math!!! hard question pls.
What is the answer to this equation?
2 + 3
Answer:
the answer is 5
Step-by-step explanation:
it is very simple question
Find the domain of the function f(t)=√t +3√t
Answer:
[tex]\mathrm{Domain\:of\:}\:4\sqrt{t}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:t\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]
The graph is also attached below.
Step-by-step explanation:
Given the expression
[tex]f\left(t\right)=\sqrt{t}\:+3\sqrt{t}[/tex]
We know that the domain of a function is the set of inputs or argument values for which the function is real and defined.
We know that we can not have a negative value of 't' inside the radicals because if we put any negative number inside the radical expression, it would make the function undefined.
In other words, the value of t ≥ 0.
Therefore, the function domain is:
[tex]\mathrm{Domain\:of\:}\:4\sqrt{t}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:t\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]
The graph is also attached below.