Answer:
[tex]Probability = 0.2470[/tex]
Step-by-step explanation:
Given
[tex]Black = 4[/tex]
[tex]White = 5[/tex]
[tex]Total = 9[/tex] i.e. 5 + 4
Required
Determine [tex]P(Black\ and\ White)[/tex]
In probability;
[tex]P(A\ and\ B) = P(A) * P(B)[/tex]
So:
[tex]P(Black\ and\ White) = P(Black) * P(White)[/tex]
i.e. multiply the probability of selecting black by that of selecting white
[tex]P(Black\ and\ White) = \frac{n(Black)}{Total} * \frac{n(White)}{Total}[/tex]
[tex]P(Black\ and\ White) = \frac{4}{9} * \frac{5}{9}[/tex]
[tex]Probability = \frac{20}{81}[/tex]
[tex]Probability = 0.2470[/tex]
Dejah is proving that perpendicular lines have slopes that are opposite reciprocals. She draws line s and labels two points on the line as (−a, 0) and (0, b).
Enter the answers, in simplest form, in the boxes to complete the proof.
Answer:
b/a; (b, 0); -a/b; -1Step-by-step explanation:
Slope of line s:
(b - 0)/(0 - (-a)) = b/aRotation 90 clockwise rule:
(-a, 0) → (0, a)(0, b) → (b, 0)The slope of line t:
(0- a)/(b - 0) = -a/b = -a/bThe product of slopes:
b/a*(-a/b) = -1Answer:
b/a; (b, 0); -a/b; -1Step-by-step explanation:
Given:
Slope of Line S - (b - 0)/(0 - (-a)) = b/a
Remember the clockwise rule:
(-a, 0) → (0, a)
(0, b) → (b, 0)
Slope of line T - (0- a)/(b - 0) = -a/b = -a/b
The product of slopes: b/a × (-a/b) = -1
So, finally, our answer is:
b/a; (b, 0); -a/b; -1Carry On Learning!
Solve the equation 18y-6y+22=11(y-2)+y
Answer:
the answer its 44=0
Step-by-step explanation:
18y-6y+22=11(y-2)+y1
We move all terms to the left:
18y-6y+22-(11(y-2)+y1)=0
We add all the numbers together, and all the variables
12y-(11(y-2)+y1)+22=0
We calculate terms in parentheses: -(11(y-2)+y1), so:
11(y-2)+y1
We add all the numbers together, and all the variables
y+11(y-2)
We multiply parentheses
y+11y-22
We add all the numbers together, and all the variables
12y-22
Back to the equation:
-(12y-22)
We get rid of parentheses
12y-12y+22+22=0
We add all the numbers together, and all the variables
44=0
are not solution for this equation
Hope helps you and have a great day !
Noah bought 15 baseball cards for $9.00. Assuming that each baseball card costs the same amount, answer the following questions.How much will 30 baseball cards cost?
Answer:
$18.00
Step-by-step explanation:
Because you know that 15 baseball cards costs 9.00. 30 is 2 15s added together. So you will do 9.00+9.00 in order to get the amount of money it needs. Double the baseball cards cost double the money.
Hope this helps. Please give brainliest.
Find the measure of the angle shown by the arrow(in radians)
Answer:
-7π/3 or -420 degrees
Step-by-step explanation:
So we know that the arrow has made one full rotation and that it is moving in a clockwise direction. So already we have -2π degrees.
The arrow stops at π/6 before the next π/2 rotation. Therefore we find the difference between the two.
π/2 - π/6
3π/6 - π/6 = 2π/6
π/3
Since this is still clockwise, we make this negative. So the measure of the angle shown by the arrow is -2π - π/3
A painting crew reported that a job is 3/5 completed. What fraction of the job remains to be done?
Answer:
2/5
Step-by-step explanation:
Any value raised to the power of 0 is equal to
Answer:
The rule is that any number raised to the power of 0 equals to 1. So if 2 or 1,000,000 is raised to the power of 0 it equals 1.
Step-by-step explanation:
Answer: 1
Step-by-step explanation:
The rule is any number raised to the power of 0 is equal to 1
ex. if 200 is raised to the power of 0, it will be 1
Aniyah is driving home at a constant speed. After 20 minutes, she is 70 miles from home. What equation models her distance from home, y, as a function of time, x?
Answer:
The equation that models her distance from home, y, as a function of time, x will be:
y = 3.5xStep-by-step explanation:
We know that the slope-intercept form of a linear function is
y = mx+b
Here m is the slope and b is the y-intercept
Please note that slope is also termed as 'rate of change'.Given that Aniyah is driving home at a constant speed.
at t = 20 minutes, she has covered 70 miles
so the rate of change = 70/20
= 3.5 miles per minute
Let y be the distance from homeLet x be the timeFinding the y-intercept by substituting m = rate of change = 3.5 and the point (20, 70)
y = mx+b
70 = 3.5(20) + b
b = 70 - 70
= 0
Thus, the equation becomes
y = mx+b
y = 3.5x + 0
y = 3.5x
Therefore, the equation that models her distance from home, y, as a function of time, x will be:
y = 3.5xthe bag of letter tiles include 15 vowels and 25 consonants. What is the probability of selecting two vowels one after another NEED HELP ASAP
Answer: 0.1346
Step-by-step explanation:
Number of vowels = 5 vowels
Number of consonants = 25
For us to calculate the probability of selecting two vowels one after another, we have to select the first vowels which will give a probability of 5/40, then we select the second vowel which will be 4/24 since there'll be 4 vowels left 39 alpahabets.
Therefore, probability of selecting two vowels one after another will be:
= 15/40 × 14/39
= 3/8 × 14/39
= 0.1346
Starr buys Converse shoes from the manufacturer for $25.50 a pair, she sells them for $38.50, what percent is she marking them up?
Answer: Approximately 51%
Step-by-Step-Explanation:
Given -
Cost - $25.50Selling for - $38.50We must find:
The price Starr is marking upProfit (Numbers Given)
$38.50 - $25.50 = $13.00
Profit, (In percent)
13/25.50 × 100 ≈ 51%
In a lab, a colony of 100 bacteria is placed on a petri dish. The population triples every "h" hour. What is the population of bacteria in 2 hours? Use the formula here: f(h) = 100 * (3)^h *
Answer:
900
Step-by-step explanation:
3 squared is 9. 9 time 100 is 900
Please helppp it’s urgent , I’ll give a crown !!
Answer:
Slide to the left then rotate 90° to the right then slide down then rotate 180° to the left/ right.
Using the graph, determine the coordinates of the x-intercepts of the parabola.
Y
Answer: -2 and 4
Step-by-step: You see the horizontal line? now look at the the numbers -2 and 4 on that line. Notice how the line passes through them? those are your x-intercepts.
The required coordinates of the x-intercepts of the parabola are (0, -2) and (0, 4).
What is x-Intercept?The x-intercept is defined as an intercept that is located at the x-axis of the plane, which is the location or coordinates from where the line crosses.
We have to determine the coordinates of x-intercepts and y-intercepts that would function in the given graph.
The parabola of the graph is given in the question
A horizontal axis, or x-axis, and a vertical axis, or y-axis, are present in a 2-dimensional coordinate graph. Intercepts are the points (0, -2) and (0, 4) here lines representing a range of values intersect these axes.
Therefore, the required coordinates of the x-intercepts of the parabola are (0, -2) and (0, 4).
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Find the common ratio 1,6,36,216 of this sequence.
Carla has a bookcase with 4 shelves.she puts 6 bears in a row on each shelf. How many bears does she have? Draw a picture and write an equation to solve
160 cm in m in km in nm in hm
HELP PLS
Answer:
1,600,000 is the answer
inverse of functions
1,000 divided by 3.85 with only remainders
Answer:
Its 259.740
Step-by-step explanation:
I used a calculator? Sorry if I dont have the "Remainders"
What is the area of a rectangular room that is 9 3/5 meters long and 8 3/4 meters wide
Answer:
84
Step-by-step explanation
Basically you just have to do 9 3/5*8 3/4. Then you get 84 as the final answer
I hope this helps!!
The area of the rectangular room would be 84 square meters.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
A rectangular room that is 9 3/5 meters long and 8 3/4 meters wide
According to the given question, we can write the dimension as:
The width of the room = 8 3/4 meters = 35/4 meters
The length of the room = 9 3/5 meters = 48/5 meters
The area of the room = width of the room × length of the room
The area of the room = 35/4 × 48/5
Apply the multiplication operation,
The area of the room = 84 square meters
Therefore, the area of the room is 84 square meters.
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A chemist wants to mix a 10% acid solution with a 26% acid solution to obtain 16 liters of a 14% acid solution. How much of the 26% solution should she use?
Answer:
The 26% solution should she use is explained below in detailed explanation.
Step-by-step explanation:
Assumed there be 10 percent of x liters of acid solution
Assumed there be 26 percent of y liters of acid solution
provided Information
A chemist needed to combine a 10 percent acid solution with a 26 percent acid solution to obtain 16 liters of a 14 percent acid solution
So, ( 10 / 100 )*x + ( 26 / 100 )*y = ( 14 / 100 )*16
=> 0.1*x + 0.26*y = 0.14*16
=> 0.1*x + 0.26*y = 2.24 ....................... eq 1
x + y = 16 ......................... eq 2
Multiply ( 0.1 ) in both side in eq 2
=> 0.1*x + 0.1*y = 0.1*16
=> 0.1*x + 0.1*y = 1.6 ......................... eq 3
Subtract eq 3 from eq 1
0.1*x - 0.1*x + 0.26*y - 0.1*y = 2.24 - 1.6
=> 0.16*y = 0.64
=> x = 0.64 / 0.16
=> y = 4
So, 4 liters of 26% solution she should utilized
Slope = -4 and
the one point the equation goes through is (-3,-7)
Rewrite the function by completing the square. f(x)=x^2-12x-29
Answer: f(x)=(x+(-6))²+(-65)
Step-by-step explanation:
f(x)=x²-12x-29
f(x)=x^2-2(x)(6)+6^2-6^2-29
f(x)=x^2-12x+6*6-6*6-29
f(x)=x^2-12x+36-36-29
f(x)=(x-6)²-65
f(x)=(x+(-6))²+(-65)
Answer:
(x-6)^2-65
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IN HURRY PLEASE HELP IF CAN
According to the graph, what is the experimental probability of selecting the letter C?
16%
20%
16.7%
24%
Answer: 24%
Step-by-step explanation:
45 is the total number of occurrences, and 6 different occurrences round it off to 8 being the closest to 25% thus that's how I figured out 24
What is the fourth term when the first term is 5 and the common ratio is 6?
If the first term is 5 and the common ratio is 6 then the fourth term of the sequence be 1080.
Given that the first term is 5 and the common ratio is 6.
We are told to find the fourth term of the sequence.
Because there is common ratio of the sequence so the given sequence is a geometric progression.
A geometric progression is basically the sequence in which each term is varied by another by a common ratio.
Nth term of GP=a[tex]r^{n-1}[/tex]
4th term is first term is 5 and the common ratio is 6=5*[tex]6^{4-1}[/tex]
=5*[tex]6^{3}[/tex]
=5*216
=1080
Hence if the first term is 5 and the common ratio is 6 then the fourth term of the sequence be 1080.
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Calculate the simple interest.
$500 at 6.1% for 4 years
The simple interest is $
Answer:
$122 in 4 years
Step-by-step explanation:
6.1% of 500 is 30.5
30.5*4 = 122
In the figure below, points L, J, M, N, and P lle in plane Z.
Points H and K do not lie in plane Z.
For each part below, fill in the blanks to write a true statement.
H
Check
1717
i
K
(a) Another name for plane Z is plane.
(b) and M are distinct points that are collinear.
(c) N,,, and are distinct points that are coplanar.
(d) Suppose line HL is drawn on the figure.
Then HL and are distinct lines that intersect
a) Another name for plane Z is LN plane.
b) PHJ and M are distinct points that are collinear.
c) N and K are distinct points that are coplanar.
d) HL and HK are distinct lines that intersect
a) The common point in lines LN and PN is N and it is the intersection point.
b) Any three non-collinear locations inside a plane can be used to give it a name. Points H, J, and K cannot be combined because an unlimited number of planes cross through them. Think about the flat piece of paper rotating about this axis (like a propeller). We can only build one specific plane if the points are not all along the same line.
I'll choose P, H, and J as the non-collinear points to give the object the name Plane PHJ. There may be other solutions.
c) Because they are on the same line, points H, J, and K are collinear. Fill up the answer box by selecting either H or K. I'll choose point K.
d) Line HK and point P are parallel. Both of them are present on the same flat piece of paper or on the same flat plane.
That flat plane can be compared to the surface of the earth, but point N is located underneath. Therefore, the ground plane and point N wouldn't be coplanar.
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True or False? A circle could be circumscribed about the quadrilateral below.
Answer:
b. false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
A P E X
The level of the water in a river rose 2.2 feet on Monday, rose 7.6 feet on Tuesday, fell 2 feet on Wednesday, and fell 7.6 feet on Thursday. What was the total change, in feet, of the water level in the river between Monday and Thursday?
0.2
9.8
7.6
9.6
Answer:
0.2
Step-by-step explanation:
what is 3/5 in %
need answer asap
Answer:
Step-by-step explanation:
3/5 x 100%
60%
Answer:60%
Step-by-step explanation: All percents are out of 100 so do 100 divided by the denominator. 100 divided by 5 is 20 so multiple 3 by 20 and you get 60/100= 60%
the ratio of two numbers is 7:3 and their sum is 50,find the two numbers
Please show explanation
Answer:
35 and 15
Step-by-step explanation:
7+3=10
50÷10=5 so you multiply each number by five
7×5=35
and
3×5=15
Step-by-step explanation:
let the number be 7x &3x
now,
7x+3x= 50
10x=50
x=50
10
x=5
again,
7x=7×5 = 35
3x= 3×5 =15
therefore the two number are 35 & 15.
hope it helps.
What is the modulus and argument after (StartRoot 3 EndRoot) (cosine (StartFraction pi Over 18 EndFraction) + I sine (StartFraction pi Over 18 EndFraction) ) gets raised to the 6thpower?
modulus = StartRoot 3 EndRoot ; argument = StartFraction pi Over 18 EndFraction
modulus = StartRoot 18 EndRoot; argument = StartFraction pi Over 3 EndFraction
modulus = 27; argument = StartFraction pi Over 3 EndFraction
modulus = 729; argument = StartFraction pi Over 18 EndFraction
Answer:
[tex]|z| = 27[/tex] -- Modulus
[tex]\theta = \frac{\pi}{3}[/tex] --- Argument
Step-by-step explanation:
Given
[tex]((\sqrt 3)(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18}))^6[/tex]
Required
Determine the modulus and the argument
We have that:
[tex]z = ((\sqrt 3)(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18}))^6[/tex]
Expand:
[tex]z = (\sqrt 3)^6(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6[/tex]
[tex]z = 27(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6[/tex]
A complex equation can be expressed as:
[tex]z = |z| e^{i\theta}[/tex]
Where
[tex]|z| = modulus[/tex]
[tex]\theta = argument[/tex]
Where
[tex]e^{i\theta} = (cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})[/tex]
So:
[tex]z = 27(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6[/tex] becomes
[tex]z = 27(e^{i\frac{\pi}{18}})^6[/tex]
By comparison:
[tex]e^{i\theta} = (e^{i\frac{\pi}{18}})^6[/tex]
This gives:
[tex]{i\theta} = i\frac{\pi}{18}}*6[/tex]
[tex]{i\theta} = i\frac{6\pi}{18}}[/tex]
[tex]{i\theta} = i\frac{\pi}{3}}[/tex]
Divide through by i
[tex]\theta = \frac{\pi}{3}[/tex]
Hence, the modulus, z is:
[tex]|z| = 27[/tex]
And the argument [tex]\theta[/tex] is
[tex]\theta = \frac{\pi}{3}[/tex]
Answer: C. M=27 A=pi/3
Step-by-step explanation:
edge