Answer: 1 in 18
This is the same as writing the fraction 1/18
==============================================================
Explanation:
Since she has 36 marbles total, and the probability of picking green is 1 in 2, this means (1/2)*36 = 18 marbles are green.
Then she also has (1/3)*36 = 12 red marbles and (1/9)*36 = 4 blue marbles.
So far, that accounts for 18+12+4 = 34 marbles in all. That leaves 36-4 = 2 marbles left over that must be black, as it's the only color left.
From that, the probability of choosing a black marble is 2/36 = 1/18.
There's a 1 in 18 chance of Maddy picking a black marble.
1/18 = 0.0556 = 5.56% approximately
Geometry question finding radius and area
Thank You!!
Answer:
The radius of Circle D is 8 cm.
The perimeter of ΔABC is (24 + 6√7) cm.
Step-by-step explanation:
First, let the intersection point below D be K and let the intersection point between A and B be J.
Since segment BK, which passes through the center of the circle, is perpendicular to chord AC, BK also bisects AC. Hence, AK = CK.
Connect points A and D to create radius AD. Note that BD is also a radius. Hence, AD = BD.
For ΔABK, by the Pythagorean Theorem:
[tex]AB^2=(BD+1)^2+AK^2[/tex]
Since AB = 12:
[tex]144=(BD+1)^2+AK^2[/tex]
For ΔADK, by the Pythagorean Theorem:
[tex]AD^2=1^2+AK^2[/tex]
Since AD = BD:
[tex]BD^2=1+AK^2[/tex]
Subtract the second equation into the first:
[tex]144-(BD^2)=(BD+1)^2+AK^2-(1+AK^2)[/tex]
Simplify:
[tex]144-BD^2=BD^2+2BD+1-1[/tex]
Hence:
[tex]2BD^2+2BD-144=0[/tex]
Simplify:
[tex]BD^2+BD-72=0[/tex]
Factor:
[tex](BD+9)(BD-8)=0[/tex]
By the Zero Product Property:
[tex]BD=-9\text{ or } BD=8[/tex]
Since the radius must be positive, the radius is 8 cm.
Since we already know AB and BC, we need to find AC to find the perimeter.
Note that AC = AK + CK = 2AK.
From the second equation:
[tex]BD^2=1+AK^2[/tex]
Thus:
[tex]AK=\sqrt{BD^2-1}=\sqrt{(8)^2-1}=\sqrt{63}=3\sqrt{7}[/tex]
Hence:
[tex]AC=2(AK)=2(3\sqrt7)=6\sqrt7[/tex]
Therefore, the perimeter of ΔABC is:
[tex]P=(12)+(12)+(6\sqrt7)=24+6\sqrt7\text{ cm}[/tex]
What type of correlation is shown in the graph ? positive no correlation linear negative
Answer:
positive
Step-by-step explanation:
Find the answer to b and check if a is correct and explain plsss
Answer:
a. 105.84 cm²
b. 136 cm²
Step-by-step explanation:
a. The prism is a cube
Surface area of the cube = 6a²
a = 4.2 cm
Plug in the value
Surface area = 6*4.2²
Surface area = 105.84 cm²
b. The prism is a triangular prism
Surface area of triangular prism = bh + L(s1 + s2 + s3)
b = 6 ft
h = 4 ft
L = 7 ft
s1 = 5 ft
s2 = 5 ft
s3 = 6 ft
Surface area = 6*4 + 7(5 + 5 + 6)
Surface area = 24 +7(16)
Surface area = 24 + 112
Surface area = 136 cm²
i have 30 sweets and 15 chocolate in a basket.If i take five sweets out the basket,what is the ratio(in its simplest form)of the number of chocolate th the number of sweets left in the basket?
Answer:
If you take 5 sweet out of the basket, then the ratio of the number of chocolate to the number of sweet left in the basket is. \frac{5} {30 - 5} = 5/25 = 1/5
Step-by-step explanation:
225 ft2
81 ft2
Three squares are joined below at their vertices to form a right triangle. Find X, the side
length of the square marked in the diagram.
12 feet
144 feet
48 feet
17.5 feet
Answer:
12 ft
Step-by-step explanation:
we know the areas of the 2 top squares.
the area of a square is simply the square of its side length.
=>
81 ft² means side length is 9 ft.
225 ft² means side length is 15 ft.
these are also 2 of the sides of the right triangle.
the third side we get by using Pythagoras :
c² = a² + b²
with c being the side opposite of the 90 degree angle.
so,
225 = 81 + x²
as x is also the third side of the triangle.
=> 144 = x²
x = 12 ft
Two functions are shown in the table below f(x) equals -X squared plus 4X +12 And G(x)
equals X +2
Answer:
[tex]x = -2; x = 5[/tex]
Step-by-step explanation:
Given
[tex]f(x) = -x^2 + 4x + 12[/tex]
[tex]g(x) = x +2[/tex]
Required
For what value of x is: [tex]f(x) = g(x)[/tex]
[tex]f(x) = g(x)[/tex] implies that
[tex]-x^2 + 4x + 12 = x + 2[/tex]
Collect like terms
[tex]-x^2 + 4x -x + 12 -2 = 0[/tex]
[tex]-x^2 + 3x + 10 = 0[/tex]
Expand
[tex]-x^2 + 5x-2x + 10 = 0[/tex]
Factorize
[tex]-x(x - 5)-2(x - 5) = 0[/tex]
Factor out x - 5
[tex](-x - 2)(x - 5) = 0[/tex]
Solve for x
[tex]-x - 2 = 0; x - 5 = 0[/tex]
So:
[tex]x = -2; x = 5[/tex]
Solve the system using substitution.
y = 4x – 8
y = 2x + 10
Answer:
9,28
Step-by-step explanation:
see image below:)
Examine the geometric relationship in the diagram below which option shows the correct value of x and y
Answer:
c
Step-by-step explanation:
What is the surface area of the rectangular prism below? 8 19 8
Answer:
736 units squared (c)
Step-by-step explanation:
Took the quiz
What is the difference between function and operator in math?
Step-by-step explanation:
In mathematics, a function is a mapping from set A to a set B that has a unique output for any given input. “Operators” or “operations” are typically defined as a special type of function.
I will give BRAINLIEST to whoever answers correctly first!!!
Sophie wants to buy a pair of scissors that cost $1.82. If she gives the cashier a five dollar bill, how
much change should she get back?
Answer:
Sophie will get $3.18 back in change.
Step-by-step explanation:
You do 5.00-1.82 and you get 3.18, which is equal to the change that Sophie will get.
What is the solution of |4 − y| = 1?
A. y = 3 or y = 5
B. y = −3 or y = −5
C. y = −3 or y = 5
D. y = 3 or y = −5
A is the answer.
Answer:
A
Step-by-step explanation:
|4 − y| = 1
drop absolute value lines
create two problems
4 - y = 1
and
4 - y = -1
solve for y
Look below (Will give brianliest)
NO link and pls explain
Answer:
80
Step-by-step explanation:
brainliest please ;>
Write the word sentence as an inequality.
A number x is greater than 0.
Answer:
x>0
I am very certain.
brainliest?
The company has only two division division eight and division be last year division a made 60% of the companies total revenue and division be made 40% of the total revenue this year division as revenue has decreased by 35% and division bees revenue has decreased by 5% which division had higher revenue this year?
9514 1404 393
Answer:
Division A
Step-by-step explanation:
Suppose last year's revenue for the company was 100 units.
Last year's Division A revenue was 0.60×100 = 60. This year's revenue is 1-35% = 65% of last year's, so is ...
60 × 0.65 = 39 . . . . units
__
Last year's Division B revenue was 0.40×100 = 40. This year's revenue is 1-5% = 95% of last year's, so is ...
40 × 0.95 = 38 . . . . units
__
At 39 units this year, Division A still has the higher revenue than Division B at 38 units.
On a piece of paper, graph y = -x2 + 4x - 3 and identify the zeros. Then determine which answer choice matches the graph that you drew and correctly identifies the zeros.
Answer:
C. 1 and 3
Step-by-step explanation:
PLEASE HELP ASAPPP!!!!!
Three coins are flipped. What is the probability that there will be two tails and one head?
What is the result when 16x + 9 is subtracted from 4x + 6
Answer:
(4x+9)-(16x+9) = 4x+9-16x-9
= -12x
The sample space listing the eight simple events that are possible when a couple has three children is {bbb, bbg, bgb, bgg, gbb,
gbg, ggb, 999). After identifying the sample space for a couple having four children, find the probability of getting one girl and three
boys in any order).
Identify the sample space for a couple having four children.
(Use a comma to separate answers as needed.)
Enter your answer in the answer box and then click
Answer:
bbbb,
bbbg, bbgb, bgbb, gbbb,
bbgg, bgbg, bggb, gbgb, gbbg, ggbb,
bggg, gbgg, ggbg, gggb,
gggg
Step-by-step explanation:
3 children: bbb, bbg, bgb, gbb, bgg, gbg, ggb, ggg
4 children: bbbb, bbbg, bbgb, bgbb, gbbb, bbgg, bgbg, bggb, gbgb, ggbb, bggg, gbgg, ggbg, gggb, gggg
You need to take a methodological approach;
The 2 easiest are the possibility of all boys and all girls;
Then consider 3 boys and 1 girl:
bbbg, bbgb, bgbb, gbbb
Then 2 boys and 2 girls:
bbgg, bgbg, bggb, gbgb, gbbg, ggbb
Lastly, 1 boy and 3 girls:
bggg, gbgg, ggbg, gggb
In total, there are 16 possibilities
P.S. interesting to note is that the number of possibilities here follows the pattern of Pascal's triangle:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
The last row is relevant here;
There is 1 possibility where there are 4 boys;
There are 4 possibilities (in terms of the order of birth) where there are 3 boys and 1 girl;
There are 6 possibilities where there are 2 boys and 2 girls
There are 4 possibilities where there is 1 boy and 3 girls;
There is 1 possibility where there are 4 girls;
The pattern ∴ is 1 4 6 4 1, as the 5th row of Pascal's triangle reads;
If your talking about 3 children, it would match the 4th row of Pascal's triangle;
So, 1 possibility of 3 boys;
3 possibilities of 2 boys and 1 girl;
3 possibilities of 1 boy and 2 girls;
And 1 possibility of 3 girls;
If your talking about 10 children, it would match the 11th row of Pascal's triangle.
(Maths can be so cool XD)
PLS HELP ASAP. NO LINKS
When z= 9, the value of z2 + 1 is
0.01 0.03 0.09 0.35 0.41 0.41 0.41 0.42 0.54 0.57 0.71 0.77 0.83 0.87 0.93 0.95 0.99 1.01 1.01 1.09 1.12 1.33 1.34 1.45 1.48 1.49 1.54 1.65 1.73 1.82 1.87 1.95 1.99 2.02 2.03 2.16 2.32 2.33 2.35 2.46 2.48 2.55 2.61 2.62 2.63 2.69 2.72 2.72 2.85 2.96
find the median
Step-by-step explanation:
[tex]median = \frac{1.48 + 1.49}{2} [/tex]
[tex] = \frac{2.97}{2} [/tex]
[tex] = 1.485[/tex]
I need the answer the question is in the picture
Answer:
D) 1 3/4
Step-by-step explanation:
What inequality is shown by the graph?
Step-by-step explanation:
2x - 10y > -20
=> x - 5y > -10
or x - 5y +10 > 0
Which statement is true about the equations -3x 4y = 12 and #*-}y=I?
O The system of the equations has exactly one solution at (-8, 3).
O The system of the equations has exactly one solution at (-4, 3).
O The system of the equations has no solution; the two lines are parallel.
The system of the equations has an infinite number of solutions represented by either equation.
NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.
The graph of which function has an amplitude of 3 and a right phase shift of π/4?
A: y= 3sin2(x- π/4)
B: y = 3 + sin2(x- π/4)
C:y = 3 + sin2(x+ π/4)
D:y = 3sin2(x+π/4)
Answer:
[tex]D.\ y = 3\sin(2(x + \frac{\pi}{4}))[/tex]
Step-by-step explanation:
Given
[tex]A = 3[/tex] --- Amplitude
[tex]C = \frac{\pi}{4}[/tex] --- Right phase shift
Required
Identify the function
A sinusoidal function is defined as:
[tex]y = A\sin(B(x + C)) + D[/tex]
Substitute values for A and C
[tex]y = 3\sin(B(x + \frac{\pi}{4})) + D[/tex]
By comparison, only option (D) has the above format where
[tex]y = 3\sin(2(x + \frac{\pi}{4}))[/tex]
Hence (D) is correct
Someone help me please
9514 1404 393
Answer:
$448
Step-by-step explanation:
The given formula will tell you the amount of interest earned:
I = Prt
I = $400·0.02·6 = $48
The account balance will be the sum of the original deposit and the interest it earns:
$400 +48 = $448 . . . . balance after 6 years
What type of triangle has a circumcenter on the exterior of the triangle?
Answer:
acute triangle
if i m wrong please dont mind and
correct me
What is the median of 6, 7, 3, 15, 4, 4.
Answer:
5
Step-by-step explanation:
The median is the middle when the numbers are lined up from smallest to largest
3,4,4,6,7,15
There are 6 number so the middle is the between the 3rd and 4th number
3,4,4, 6,7,15
Take the 3rd and 4th numbers and average
(4+6)/2 = 10/2 = 5
Answer:
median = 5
Step-by-step explanation:
Arrange the data in ascending order :
3 , 4 , 4 , 6 , 7 , 15
Choose the middle number.
Here there are even number of data. Take the average of the middle
numbers .
4 and 6 are the middle number. average of 4 and 6 = ( 4 + 6 ) /2 = 5
Therefore , median = 5
Find the perimeter of the figure.
Answer:
45 inches (choice B)
Step-by-step explanation:
The perimeter is the sum of all of the sides of a shape. Since the sides are given this problem is fairly easier than other problems. You simply have to add the numbers together.
8 + 3 + 3 + 6 + 6 + 19 = 45 inches
Answer:
45 in.
Step-by-step explanation:
Perimeter = 8 + 3 + 6 + 19 + 6 + 3
= 45.
What is the value of x?
Answer:
value of x i think correct answer is 2