Answer: 4/35
Step-by-step explanation:
Number of red marbles = 4
Number of blue marbles = 5
Number of green marbles = 6
Total number of marbles = 4+5+6 = 15
When a red marble is picked, the probability is 4/15, then to pick a green marble after that, we have 14 marbles left and probability of picking green is 6/14.
Now, probability of choosing a red marble from the bag, not putting it back, and then choosing a green marble will be:
= 4/15 × 6/14
= 24/210
= 4/35
L U C K luck is parallelogram with ∠C=68° and ∠LUK=42° find: 1.
m∠ CUK 2. m∠ K
Answer:
1. m∠CUK = 70°
2. m∠K = 112°
Step-by-step explanation:
1. The given parameters of the parallelogram LUCK are;
∠C = 68°
∠LUK = 42°
From the diagram of parallelogram LUCK obtained from an online source, we have;
Given that LUCK = A parallelogram, we have;
The same side interior angles ∠C and ∠U are supplementary angles
Therefore;
∠C + ∠U = 180°
∠U = 180° - ∠ C
∴ ∠U = 180° - 68° = 112°
∠U = 112°
By angle addition property, ∠U = ∠LUK + ∠CUK
∴ m∠CUK = ∠U - ∠LUK
By plugging in the value of ∠LUK = 42°, and ∠U = 112°, we have;
m∠CUK = ∠U - ∠LUK = 112° - 42° = 70°
m∠CUK = 70°
2. By angle addition property, we have;
∠K = ∠LKU + ∠CKU
∠LKU and ∠CUK are alternate interior angles
∴ ∠LKU = ∠CUK = 70°
Similarly, ∠CKU and ∠LUK are alternate interior angles
∠CKU = ∠LUK = 42°
m∠K = ∠LKU + ∠CKU = 70° + 42° = 112°
m∠K = 112°.
What is the median of the data set?
x
x x x x
x x x x x x x
↔0↔1↔2↔3↔4↔5↔6↔7↔8↔9↔10↔11↔12↔13↔14
Answer:aw ehtI Belive its 7 i could be wrong though
Step-by-step explanation:
the way you would solve this is u would arange the numbers like small to greatest then count how many there are and there happends to be 15 then you find the middle.
HOPE THIS HELPS
A sample of nitrogen gas has a pressure of 6.58 kPa at 539K. If the volume does not
change, what will the pressure be at -62C.
Answer:
2.575844
Step-by-step explanation:
This is a simple change of temp problem, from 539K to -62C but to start you have to change the C to K, which is simply adding 273 to the -62 so 211K.
Now you take P1/T1 = P2/T2 so,
6.58 = x
539 = 211
now cross multiply and divide, 211 x 6.58 then divide by 539.
this will give you your answer
***BTW DONT CLICK THE LINK ON THE ANSWER BELOW OR ABOVE THAT LEADS TO SOME MALWARE***
which is the solution set for the quadratic equation x^2-9=0
===================================================
Explanation:
We could add 9 to both sides, and then apply the square root to both sides. Don't forget about the plus minus
x^2 - 9 = 0
x^2 = 9
x = sqrt(9) or x = -sqrt(9)
x = 3 or x = -3
To check these answers, you replace x with those values we found. I'll show you how to check x = 3
x^2 - 9 = 0
(3)^2 - 9 = 0
9 - 9 = 0
0 = 0
So that confirms x = 3. The confirmation for x = -3 is nearly the same. Keep in mind that (-3)^2 = (-3)(-3) = 9. You'll be squaring the negative as well.
------------------
Another method you could do is to use the difference of squares rule
x^2 - 9 = 0
x^2 - 3^2 = 0
(x - 3)(x + 3) = 0
Now apply the zero product property. This effectively means you set each factor equal to zero and solve for x
x-3 = 0 or x+3 = 0
x = 3 or x = -3
We end up with the same solution set.
Yet another method you could use is the quadratic formula, but that may be overkill. It's still good practice to do.
Graphing is a visual way to find the answers. You'll graph y = x^2 - 9 and look to see where the curve crosses or touches the horizontal x axis.
12. Find u · v for u = 3i + 4j and v = i - 2j
a.
[tex] \sqrt{5} [/tex]
b. -5
c. 10
d. 3i - 8j
Quickly! Find the distance
a disk in the shape of a circle has a diameter of 64 millimeters. what is the radius of the disk?
Answer:
the radius is 32
Step-by-step explanation:
the radius of a circle is half the diameter
hope this helps
what is the center of the circle: (x+3)^2+y^2=16 ?
Answer:
the answer is (-3,0) or 4
Step-by-step explanation:
A scoop used to measure
powdered drink mix is in
the shape of a cone with a
radius of 5 cm
What is the height of the scoop if its volume is 75pi cm cube
Answer:
9
Step-by-step explanation:
V=pi (r squared) (h/3)
75pi = 25pi (h/3)
Divide both sides by 25 pi
3= h/3
Multiply both sides by 3
h=9
Jeremiah ran 5.6 miles every day for
2 weeks. How many miles did he run
in all?
Answer:
78.4 miles
Step-by-step explanation:
Since there are 14 days in two weeks, you multiply 5.6 miles times 14 days to get 78.4 miles in total since 5.6 is how much he ran every DAY
What is the greatest common factor of 5xy and 20x
Answer:
5x
Step-by-step explanation:
A circle is centered at K(0,0)K(0,0)K, left parenthesis, 0, comma, 0, right parenthesis. The point U(6,-4)U(6,−4)U, left parenthesis, 6, comma, minus, 4, right parenthesis is on the circle.
Where does the point V(\sqrt{2},-7)V(
2
,−7)V, left parenthesis, square root of, 2, end square root, comma, minus, 7, right parenthesis lie?
Answer:
inside the circle
Step-by-step explanation:
Khan Academy
plz help i give brainliest
Answer:
x = 6
Step-by-step explanation:
Tip: You want to isolate the x-variable on one side of the equation to find its value.
1) First, get rid of the radical signs on both sides of the equation by squaring both sides. This should leave you with 5x-7 = 3x+5.
2) Get the x-variables on one side by subtracting 3x from both sides, so the equation should be 2x-7=5.
3) Solve for x by adding 7 to both sides, so that your equation looks like this: 2x = 12.
4) Divide both sides by 2 and you will get x = 6. You can verify 6 as the x-value by plugging 6 back into the original equation.
I hope that helps! :)
Answer:
x=6
Step-by-step explanation:
un camion puede llevar una carga maxima de 5 t. en una fabrica ha cargado 6 contenedores de 3 q y 85 kg uno. ¿cuantos kilos mas pueden cargar?
Answer:
puede cargar 205 killos pero no mas de 260 por el peso.
Step-by-step explanation:
5t. 3q 85kg
ILL GIVE BRAINLIEST! PLEASE HELP I DONT UNDERSTAND!
Use the arithmetic series formula to calculate the sum of the first 15 terms of the sequence: a n =5n+3
Answer:
S₁₅ = 645
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Using the nth term formula [tex]a_{n}[/tex] = 5n + 3 , then
a₁ = 5(1) + 3 = 5 + 3 = 8
a₂ = 5(2) + 3 = 10 + 3 = 13 , then
d = a₂ - a₁ = 13 - 8 = 5
Thus
S₁₅ = [tex]\frac{15}{2}[/tex] [ (2 × 8) + (14 × 5) ]
= 7.5( 16 + 70)
= 7.5 × 86
= 645
plss help i’ll give brainliest thank you!
Answer:
The absolute value of -9 is less than 9 I'm pretty sure
The total surface area of this triangular pyramid is_____?
help asap
Answer: 208 in^2
Step-by-step explanation:
find the surface area of the square base
8(8)=64
find the surface area of the 4 triangular lateral faces
SA=4(bh÷2)
4(8 x 9 ÷2)
4(36)=144
add the surface area of the square base and lateral faces
64+144=208
Is this right? please help me.
In an all boys school, the height of the student body are normally distributed with a mean of 69 inches and a standard deviation of 5 inches. using the empirical rule, what percentage of the boys are between 54 and 84 inches tall?
Answer:
99.7% of the boys are between 54 and 84 inches tall.
Step-by-step explanation:
The heights 54 and 84 inches are 3 standard deviations away from the mean. Thus, 99.7% of the boys are between 54 and 84 inches tall.
The percentage of the boys are between 54 and 84 inches tall is 99.7%
What is percentage?
Percentage a relative value indicating hundredth parts of any quantity.
What is empirical rule?
The empirical rule or the three-sigma rule , is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations of the mean.
The empirical rule predicts that 68% of observations falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).
From question mean(μ) = 69 in. and standard deviation(σ)= 5 in.
(µ ± σ) = (69 ± 5)
=64 - 74
=68%
(µ ± 2σ) =(69 ± 10)
=59 -79
=95%
(µ ± 3σ) =(69 ± 15)
=54 -84
= 99.7%
Thus the percentage of the boys are between 54 and 84 inches tall is 99.7%
To know more about empirical rule click here
https://brainly.com/question/16643905
#SPJ2
Hey peoples I have a question about Quadratics so one question said
(x+9)(x+4) find the middle term do they mean like the standard form is a^2+ bx+c
are they asking to find b?
Answer:
Yes
Step-by-step explanation:
In [tex]a^2+bx+c[/tex], b is the middle term.
Find the sum of £1.98,87p and 23p write your answer in pounds £ write your answer in pence P
Answer:
Step-by-step explanation:
23+87+98=208
2.08+1=3.08
3.08-----> 308p
What is the common ratio of the sequence?
-2, 6, -18, 54,...
a. −3
b. −2
c. 3
d. 8
Answer:
common ratio=t2/t1
=6/(-2)
=-3
5/25=
what is this fraction equal to
1/5
Step-by-step explanation:
I have done this sir
Lee laaa
Answer:
1/5
Step-by-step explanation:
5/25 = ?
well so
5 x 5 = 25 so that means that there is 5 parts for each 1 whole
5/25 = 1/5
Find the mean among these numbers: 22, 20, 25, 19, 20
Answer:
17.6
Step-by-step explanation:
If you add all of the digets up you get: 86
86 divided by the quanity of numbers is: 17.6
Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.
PLEASE HELP ASAP!!!
Can someone please help me with math.
Answer:
a
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
All you have to do is count the number of squares it is from the point to the y axis horizontally. And count from there onwards. When you get further in Maths, you will realise there are much easier ways but this is the most basic.
Help me! :) 12 points!
Answer:
Vertical angles: <3 and <8, <2 and <5, <1 and <6, <4 and <7 (choose one pair, these are all right)
Linear: <1 and <5, <2 and <6, <3 and <7, <4 and <8, there are more (choose one pair, all these are right)
Congruent: Choose one of the vertical angle pairs I listed above
Step-by-step explanation:
Vertical angles are diagonally across for each other and equal the same angle. You would get a better explanation if you looked up pictures.
Linear angles are two angles on a straight line that are divided by another line. Again, you would get a better explanation by looking at a visual
Congruent angles are equal to each other, and because there are no angle measures here, you would go with a vertical angle pair.
Answer:
Step-by-step explanation:
Vertical angles: <3 and <8, <2 and <5, <1 and <6, <4 and <7 (choose one pair, these are all right)
Linear: <1 and <5, <2 and <6, <3 and <7, <4 and <8, there are more (choose one pair, all these are right)
Congruent: Choose one of the vertical angle pairs I listed above
Select the ratio equivalent to tan (o)
Answer:
D.
tangent = opp over adj
Step-by-step explanation:
Please help or explain what I should do to get an answer please and thank you
the first one is 4x + 12
the second one is -28 + 7y
Find x
Help me plz!!!
9514 1404 393
Answer:
x = 8
Step-by-step explanation:
Assuming the figure is a parallelogram, the diagonals bisect each other. That means ...
3x -11 = x +5
2x = 16 . . . . . . . add 11-x to both sides
x = 8 . . . . . . divide by 2
Answer:
the answer is x=8
Step-by-step explanation:
:)))))