A sample space is the space of all the possible outcomes in this event.
Let's define each outcome as:
(first marble, second marble)
Where the first marble can be green or red.
The second marble can be blue or yellow.
Then the possible outcomes are:
(green, yellow)
(green, blue)
(red, yellow)
(red, blue)
So we have four different outcomes, which means that the sample space has 4 elements.
Notice that the number of marbles of each color does not affect this, these numbers only affect the probability of each one of these possible outcomes.
If you want to learn more, you can read:
https://brainly.com/question/24329720
plz help quick
Find the area of the circle.
Use 3.14 for n. Do not round your answer.
Hint: A = hr2
Area = [?] inches
6 inches
Enter the number that
belongs in the green box.
Answer:
28.26 in ^2
Step-by-step explanation:
The diameter is 6 inches
The radius is 1/2 of the diameter
r = 1/d = 1/2(6) = 3 inches
A = pi r^2 = 3.14( 3)^2 = 3.14 (9) =28.26 in ^2
Select the type of equations.
consistent
equivalent
Inconsistent
Answer:
Step-by-step explanation:
This is a consistent dependent system. This means that the lines will eventually intersect in one place.
Inconsistent systems are parallel lines and equivalent systems represent a line completely overlapped by another line because they have the same equation.
what is nine and forty-two hundredths
Answer:
9.42
Step-by-step explanation:
Breaking the phrase down:
'Nine' would be the number 9 in the ones place.
'And' represents the decimal in a number. ('.')
'Forty-Two Hundredths" is 0.42.
So, "nine and forty-two hundredths" would be 9.42.
Hope this helps.
what's 700.00divided by 120
Answer:
[tex]\Large \boxed{\frac{35}{6} }[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{700}{120}[/tex]
Reduce and simplify the fraction to lowest terms.
[tex]\displaystyle \frac{20(35)}{20(6)}[/tex]
[tex]\displaystyle \frac{35}{6}[/tex]
The grades on the last art exam had a mean of 75%. Assume the population of grades on art exams is known to be distributed normally, with a standard deviation of 7%. Using the empirical rule, approximately what percent of students earn a score between 75% and 82%? 68% 16% 32% 34%
Find the z-score for both 75% and 82% then subtract them.
Z-score for 75%:
75 -75 /7 = 0-7 = 0
Using empirical rule, This translates to a percentile if 50%
Z-score for 82%
82-75 /7 = 7/7 = 1
Using empirical rule, this translates to 84.13%
Answer = 84.13-50 = 34.13% round to 34%
Answer:
34%
Step-by-step explanation:
Well 75+7=82 and one hop on the graph is 34%.
Rewrite the radical expression as an expression with rational exponents. fifth root of x to the power of 9
Answer:
[tex]x^\frac{9}{5}[/tex]
Step-by-step explanation:
[tex]\sqrt[5]{x}[/tex] is the same thing as [tex]x^{\frac{1}{5}}[/tex].
Now if we have [tex]x^{\frac{1}{5}}[/tex] to the power of 9, the exponents are multiplied.
[tex]x^{\frac{1}{5} \cdot9} = x^{\frac{9}{5} }[/tex].
Hope this helped!
what is the answer to 1/8=s-3/4
Answer:
7/8 =s
Step-by-step explanation:
1/8=s-3/4
Add 3/4
1/8 + 3/4 = s -3/4 +3/4
1/8 + 3/4 = s
Get a common denominator
1/8 + 3/4 *2/2 = s
1/8 + 6/8 =s
7/8 =s
1/8 = s - 3/4
1/8 = s -6/8 ( * 2/2)
7/8 = s
s = 7/8
The sporting goods store sells 6 different brands of tennis rackets and 4 different brands of tennis balls. If Amanda buys one brand of tennis racket and one brand of tennis balls, how many different combinations of brands can she buy ?
10
12
16
24
Answer:
24
Step-by-step explanation:
There are 6 different types of rackets and 4 different types of balls.
To determine the number of different combinations
6 rackets * 4 balls
24 combinations
Answer:
24
Step-by-step explanation:
x/t+m=b need to make x the subject
Answer:
x=(t+m)/b is the answer
Step-by-step explanation:
Hope it will help :)
Answer:
x = t(b-m)
Step-by-step explanation:
x/t + m =b
subtract m from each side
x/t +m-m = b-m
x/t =b-m
Multiply each side by t
x/t *t = t(b-m)
x = t(b-m)
Given that the trinomial x^2+ 11x + 28 has a factor of x +4, what is the other factor?
Answer:
the other factor is (x+7)
Step-by-step explanation:
Given x^2+11x+28
factor into
x^2+7x + 4x + 28
=x(x+7) + 4(x+7)
= (x+4)(x+7)
Answer: the other factor is (x+7)
Given that ∆MTW ≅ ∆CAD, which angles are corresponding parts of the congruent triangles? ∠T ≅ ∠C ∠T ≅ ∠A ∠T ≅ ∠D
Answer:
∠T ≅ ∠A
Step-by-step explanation:
Since, ∆MTW ≅ ∆CAD
Therefore, ∠T ≅ ∠A (cpct)
help me out this is important ot me to get an A
Answer:
Step-by-step explanation:
4*10^7/6*10^5=6.67, so (B) is the answer.
Answer: Do 4 x 10x10x10x10x10x10x10 do 6x 10x10x10x10x10 once you get those answers you subtract them and that is your answer.
trigonometric identities help
Answer:
Step-by-step explanation:
I just graphed this and used the "maximum value" capability to locate the max value. It occurs at (0.363, 3).
Need help asap algebra 2 math
f(x) = 5x^2 + 25x + 30
============================================================
Explanation:
The roots, aka x intercepts, of this curve are x = -3 and x = -2. This is where the graph crosses the x axis.
Since x = -3 is a root, this makes x+3 a factor of the quadratic. Similarly, x = -2 leads to x+2 as another factor. I'm using the zero product property.
So far we have found that the polynomial is (x+3)(x+2). This isn't the full factorization because if we plugged x = -1 into that expression, then we would get
y = (x+3)(x+2)
y = (-1+3)(-1+2)
y = (2)(1)
y = 2
But we want y = 10 instead. So we must multiply that factorization by 5 to jump from 2 to 10 (i.e. 5*2 = 10)
Therefore, the full factorization of this parabola is y = 5(x+3)(x+2)
Now let's expand everything out and simplify
y = 5(x+3)(x+2)
y = 5(x^2+2x+3x+6)
y = 5(x^2+5x+6)
y = 5x^2+5*5x+5*6
y = 5x^2 + 25x + 30
Choice C is the final answer
-------------------------
To check this, we can plug in x = -3 and we should get 0
y = 5x^2 + 25x + 30
y = 5(-3)^2 + 25(-3) + 30
y = 5(9) + 25(-3) + 30
y = 45 - 75 + 30
y = -30 + 30
y = 0
This proves that x = -3 is a root of y = 5x^2 + 25x + 30
I'll let you check x = -2. You should also get y = 0 when plugging this x value in.
Plugging x = -1 should lead to y = 10 as the last bit of confirmation. I'll let you check this one as well.
What is g(x)?
Please help
Answer:
g(x) = -x²
Step-by-step explanation:
Answer:
-x^2
Step-by-step explanation:
The parent equation of a parabola is x^2.
Because the parabola is upside down, the equation becomes negative.
A marina is in the shape of a coordinate grid. Boat A is docked at (2.4, -3) and Boat B is docked at (-3.4, -3). The boats are ___ units apart.
A 5.8
B 6.4
C 8.8
D 9.4
please helppp ill give brainliest the question is attached below
Answer: It is false, the diameter is not 16 m.
Step-by-step explanation:
P 4m are 8 m are 32 m away. The diameter= 32 m.
(I hope its rights!!!)
PLEASE HELP I WILL MARK YOU BRAINLIEST IF CORRECT
Sure, I will help you. The answer you are looking for is x=11.
Solution/Explanation:
Write out the equation:
3(x+5)=5x-7
Using the Distributive Property on the LEFT SIDE,
3x+15=5x-7
Next, subtracting 3x from both sides,
3x-3x+15=5x-3x-7
15=2x-7, or 2x-7=15
2x-7=15
Now, adding seven to both sides,
2x-7+7=15+7
2x=22
Finally, dividing both sides by 2,
So, therefore the final answer is x=11. And, also, the next step would be written as 3x+15=5x-7, as stated above, preliminarily.
I hope this helped you find your answer. Enjoy your day, and take care!
The answer you are looking for is 3x+15=5x-7. But, the answer is x=11.
1. Suzette ran and biked for a total of 80 miles in 9 hours. Her average running speed was 5 miles per hour (mph) and her average biking speed was 12 mph. Let x = total hours Suzette ran. Let y = total hours Suzette biked. Use substitution to solve for x and y. Show your work. Check your solution. (a) How many hours did Suzette run? (b) How many hours did she bike?
Answer:
a) Suzette ran for 4 hours
b) Suzette biked for 5 hours
Step-by-step explanation:
Speed is rate of distance traveled, it is the ratio of distance traveled to time taken. It is given by:
Speed = distance / time
The total distance ran and biked by Suzette (d) = 80 miles, while the total time ran and biked by Suzette (t) = 9 hours.
For running:
Her speed was 5 miles per hour, let the total hours Suzette ran be x and the total distance she ran be p, hence since Speed = distance / time, therefore:
5 = p / x
p = 5x
For biking:
Her speed was 12 miles per hour, let the total hours Suzette ran be y and the total distance she ran be q, hence since Speed = distance / time, therefore:
12 = q / y
q = 12y
The total distance ran and biked by Suzette (d) = Distance biked + distance ran
d = p + q
80 = p + q
80 = 5x + 12y (1)
The total time taken to run and bike by Suzette (t) = time spent to bike + time spent to run
t = x + y
9 = x + y (2)
Solving equation 1 and equation 2, multiply equation 2 by 5 and subtract from equation 1:
7y = 35
y = 35/7
y = 5 hours
Put y = 5 in equation 2:
9 = x + 5
x = 9 -5
x = 4 hours
a) Suzette ran for 4 hours
b) Suzette biked for 5 hours
Factor 2x2 − 4x − 30 completely. (5 points) 2(x − 5)(x + 3) 2(x − 3)(x + 5) (2x + 3)(x − 5) (2x − 5)(x + 3)
Answer:
The answer is
2( x + 3)(x - 5)Step-by-step explanation:
To factor the expression
2x² - 4x - 30
First factor 2 out of the expression
That's
2( x² - 2x - 15)
Next write - 2x as a difference
2( x² + 3x - 5x - 15)
Factor out x from the expression
That's
2 [ x( x + 3) - 5x - 15 ]
Factor out -5 from the expression
2 [ x ( x + 3) - 5( x + 3) ]
Factor out x+3 from the expression
We have the final answer as
2( x + 3)(x - 5)Hope this helps you
Answer:
C. 2(x - 5) (x + 3)
Step-by-step explanation:
I took the test
Prove that:
Sin^2A+Sin^2B.Cos2A=Sin^2B+Sin^2A.Cos2B
Answer:
See Below.
Step-by-step explanation:
We want to prove that:
[tex]\displaystyle \sin^2 A + \sin^2 B \cdot \cos 2A = \sin^2 B + \sin^2 A \cdot \cos 2B[/tex]
Recall that double-angle identity for cosine:
[tex]\displaystyle \begin{aligned} \cos 2x &= \cos^2x - \sin^2 x \\ &= 2\cos^2x -1 \\ &= 1 - 2\sin^2 x\end{aligned}[/tex]
Substitute cos(2A) for its third form:
[tex]\displaystyle \sin^2 A + \sin^2 B \cdot \left(1 - 2\sin^2 A\right) = \sin^2 B + \sin^2 A \cdot \cos 2B[/tex]
Distribute:
[tex]\displaystyle \sin^2 A + \sin^2 B - 2\sin^2B \sin^2A = \sin^2 B + \sin^2 A \cdot \cos 2B[/tex]
Rewrite:
[tex]\displaystyle \sin^2 B + \left(\sin^2 A - 2\sin^2 B\sin^2 A\right)[/tex]
Factor:
[tex]\displaystyle \sin^2 B + \sin^2A\left(1 - 2\sin^2 B\right) = \sin^2 B + \sin^2A\cdot \cos 2B[/tex]
Double-Angle Identity for cosine:
[tex]\displaystyle \sin^2 B + \sin^2 A \cdot \cos 2B \stackrel{\checkmark}{=} \sin ^2 B + \sin^2 A\cdot \cos 2B[/tex]
Hence proven.
help me, asap, please
answer is 19
the explanation is in the attachment
PLZZZ help!!!
Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square.
Answer:
[tex]A_s = 36\pi - 72[/tex]
Step-by-step explanation:
[tex]A_{shaded} = \frac{A_{circle}}{4} - A_{triangle}\\\\A_c = \pi r^2\\A_c = \pi(12)^2\\A_c = 144\pi\\\\A_t = \frac{b * h}{2} \\\\A_t = \frac{12 * 12}{2} \\\\A_t = 72\\\\\\A_s = \frac{144\pi }{4} - 72\\A_s = 36\pi - 72[/tex]
Find the area of the following shape. Show all work
Best way to solve this is by using
[tex] \sqrt{s(s - a)(s - b)(s - c)} [/tex]
[tex]where \: s = \frac{a + b + c}{2} [/tex]
s=(12+8+17)/2
=18.5
using the formulae
area =43.5
What is the value of g(f(x)) f(x)=2x^2+3 g(x)=x-4
Answer:
2x^2 -1
Step-by-step explanation:
f(x)=2x^2+3
g(x)=x-4
g(f(x))
Replace x in g(x) with the function f(x)
g(f(x)) = 2x^2+3 -4
Combine like terms
=2x^2 -1
Help, Answer ASAP; will give brainliest
Answer:
a = 2, b = 3
Step-by-step explanation:
The diagonals of a rectangle bisect each other, thus
5a² = 4a² + 4 ( subtract 4a² from both sides )
a² = 4 ( take the square root of both sides )
a = [tex]\sqrt{4}[/tex] = 2
Also
6b - 8 = 4b - 2 ( subtract 4b from both sides )
2b - 8 = - 2 ( add 8 to both sides )
2b = 6 ( divide both sides by 2 )
b = 3
18 m
6 m
6 m
16 m
16 m
14 m
Find the value of a.
a
52
Answer:
26
because a is gone in b than
A square has the same area as a rectangle whose
longer side is 2 times the length of its shorter
side. If the perimeter of the rectangle is 24, what
is the perimeter of the square?
A) 8 √2
B)16 √2
C)32 √2
D)32
Answer:
C) 32 * 2**1/2
Step-by-step explanation:
For rectangle P = L + W = 24 but L = 2W so
2W + W = 24
3W = 24
W = 8 and L = 2W = 16
A = L * W = 16 * 8 = 128
SO for the square with the same area
A = L * L = 128
L**2 = 128
L = 8 * 2**1/2
P = 4L = 32 * 2**1/2
4.
A turtle crawls 567 mm in 27 minutes. How far (measured in cm) can the turtle
crawl in a minute?
Answer: 2.1 cm per minute
Step-by-step explanation:
567/27 =21 mm
convert mm to cm (1mm = 0.1c,)
21mm = 2.1cm
Answer:
2.1 cm or 21 mm
Step-by-step explanation:
567 ÷ 27 = 21
Therefore the turtle can crawl 21 mm in a minute.
To covert mm to cm, we simply divide by 10.
21 ÷ 10 = 2.1