Answer: 1/6
Step-by-step explanation:
Probability of getting heads = 50/100
= 1/2
Probability of tossing a 3 or 5 = 2/6
= 1/3
Now probability of getting both = 1/2×1/3
= 1/6
Please click thanks and mark brainliest if you like
Answer:
1/6
Step-by-step explanation:
There are two possible outcomes for tossing a coin
heads and tails
P(heads)= heads/ total = 1/2
Rolling a die has 6 possible outcomes 1,2,3,4,5,6
P*3 or 5) = 3 or 5 /total = 2/6 = 1/3
Multiply the probability of independent events together
1/2 * 1/3 = 1/6
The sum of first three terms of an arithmetic series is 21. If the sum of the first two terms is subtracted from the third term then it would be 9. find the three terms of the series. The first and last bra
Answer:
The terms are - 1, 7 and 15.
Step-by-step explanation:
Let the terms be a-d, a, a+d.
ATQ, a-d+a+a+d=21, a=7 and a+d-(a-d+a)=9. 2d-a=9, d=8. The terms are - 1, 7 and 15.
The first three terms will be : -1, 7, 15
We have sum of first three terms of an arithmetic series is 21. It is given that if the sum of the first two terms is subtracted from the third term then it would be 9.
We have to find the three terms of the series.
What is Arithmetic progression or sequence?An arithmetic progression or sequence with common difference [tex]d[/tex] is given as -
a, a + d, a + 2d, a + 3d .....
According to the question -
a + (a + d) + (a + 2d) = 21
3a + 3d = 21
3(a + d)=21
a + d = 7 (Eqn. 1)
(a + 2d) - (a + a + d) = 9
a + 2d - a - a - d = 9
d - a = 9
a = d - 9
Substituting the value of 'a' in Eqn. 1, we get -
d - 9 + d = 7
2d - 9 = 7
2d = 16
d = 8
Therefore -
a = 8 - 9
a = -1
The three terms are -
a = -1
a + d = -1 + 8 = 7
a + 2d = -1 + 2 x 8 = 15
Hence, the first three terms will be - -1, 7, 15
To solve more questions on Arithmetic Sequences and finding the terms, visit the link below -
https://brainly.com/question/20384906
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hello could you please help me with this math problem with full explanation which I am unable to solve?
Answer:
b) 27
Step-by-step explanation:
sum of angles in triangle = 180
a + 63 + 90 = 180
a = 27
Answer:
27 degrees
Step-by-step explanation:
since angle B is 68 and you know that angle c is a right angle it is 90. so yhu take 90 and 63 and add them together and subtract that number from 180 and you find angle A
Determine the absolute value
Answer:
64000
Step-by-step explanation:
The absolute value is the non-negative number
|64000| = 64000
A point is chosen randomly on KN. Identify the probability that the point is on KL or MN.
Answer:
11/18
Step-by-step explanation:
KL + MN = 11
Total = 18
Probability of KL or MN = 11/18
1. Write three different solutions of 4x - 2y = 8. plzz answer fast
Answer:
y=-4+2x
x=(4+y)/2
2x-y=4
Find the number of all the 2-digit numbers satisfying the
following congruences x = 3(mod7), x = 2(mod5).
OLEASE HELP
Use the Chinese remainder theorem.
Start with x = 3×5 + 2×7 = 15 + 14 = 29. Now,
• 29 ≡ 15 ≡ 1 (mod7)
• 29 ≡ 14 ≡ 4 (mod5)
Adjust for this by multiplying the first term in x by 3, and the second term by 3 (because 4×3 ≡ 12 ≡ 2 (mod5)).
So now x = 3×5×3 + 2×7×3 = 45 + 42 = 87, and
• 87 ≡ 45 ≡ 3 (mod7)
• 87 ≡ 42 ≡ 2 (mod5)
The CRT then says that x ≡ 87 (mod(7×5)) ≡ 87 (mod35), which is to say any number x = 87 + 35n satisfies both congruences (where n is any integer).
So there are 3 possible 2-digit numbers that work: {17, 52, 87}.
To confirm:
• 17 ≡ 15 + 2 ≡ 2 (mod5) and 17 ≡ 14 + 3 ≡ 3 (mod7)
• 52 ≡ 50 + 2 ≡ 2 (mod5) and 52 ≡ 49 + 3 ≡ 3 (mod7)
• 87 ≡ 85 + 2 ≡ 2 (mod5) and 87 ≡ 84 + 3 ≡ 3 (mod7)
ABCD is a parallelogram, AE=16, AB=24, EC=2y-4, DE=67, and EB = 2x+7. Solve for x. (Round your answer to one decimal place, if necessary.) Plz help will give brainliest
Answer:
x = 30
Step-by-step explanation:
The diagonals are bisected so DE =EB
67 = 2x+7
Subtract 7
67-7 = 2x+7-7
60 =2x
Divide by 2
60/2 =2x/2
30 = x
x^5+x-1
x^5+x-1
x^5+x-1
Step-by-step explanation:
x⁵+x-1
(2x-x+1) ( x³+x²-1 )
a local community college has 860 students. Of these 860 students, 220 ride bicycles. Write the number of bike riders as a fraction of the number of students at the college in simplest form
Answer:
11/43
Step-by-step explanation:
A local community college has 860 students
Out of this 860 students, 220students ride bikes
Therefore the fraction of bike riders to the number of students can be calculated as follows
= 220/860
= 11/43
A number, y, is equal to the difference of a larger number and 3. The same number is one third of the sum of the larger
number and 9 Which equations represent the situation?
x+y 3 and - 3y -27
Oxxy-3
and-3--
Oy - 3
and-3--27
X-Y-3 and x-3y --9
Answer:
Set the larger number as x"A number, y, is equal to the difference of a larger number and 3."
[tex]y=x-3[/tex]
You can rearrange this equation to find the matching answer choice:
[tex]y-x=-3\\x-y=3[/tex]
"The same number is one third of the sum of the larger number and 9."
[tex]y=\frac{1}{3} (x+9)[/tex]
You can rearrange this equation to find the matching answer choice:
[tex]y=\frac{1}{3} x+3\\3y=x+9\\3y-x=9\\x-3y=-9[/tex]
Debt is a result of spending more than you make.
True
False
pls explain me i will make u as brainlist
Answer:
hope this help you
have a great day
I need help right now!!!ASAP
Answer:
Points Q, J and M are not collinear
Step-by-step explanation:
Three points cannot be collinear if they are not coplanar (on the same plane), and M is on a different plane than Q. J is located on both planes.
Laura brought some fish; salt water ($2 each) and fresh water ($1 each). If she has 15 fish - how many of each did she buy?
Answer:
are you sure there is no further info
Step-by-step explanation:
Rewrite using exponents
AxAxAxAxAxAxA
need answer quick!!! please
Answer:
A^7
Step-by-step explanation:
in a class ,ratio of the number of girls to boys is13:7 , find the percentage of boy
an obtuse angle is an angle which is _______
Answer:
an obtuse angle is an angle that is more than 90 degrees
Step-by-step explanation:
7.
For which discriminant is the graph possible?
A. b2 – 4ac = 0
B. b2 – 4ac = –1
C. b2 – 4ac = 4
Answer:
C. b2 – 4ac = 4
Step-by-step explanation:
Answer:
The graph is possible for
Step-by-step explanation:
we know that
The discriminant of a quadratic equation of the form
is equal to
If D=0 the quadratic equation has only one real solution
If D>0 the quadratic equation has two real solutions
If D<0 the quadratic equation has no real solution (complex solutions)
In this problem , looking at the graph, the quadratic equation has two real solutions (the solutions are the x-intercepts)
so
therefore
The graph is possible for
...............................................................................................................................................
Answer:
b^2 – 4ac = 4
...............................................................................................................................................
-2z² + 4z + 2z² = ?
Anyone know this?
Answer:
4
Step-by-step explanation:
Let's simplify step-by-step.
−2z2+4z+2z2
Combine Like Terms:
=−2z2+4z+2z2
=(−2z2+2z2)+(4z)
=4z
Answer:
4z
Hope this helps <3 Need thanks?
Comment /hearthelp
[tex]\\ \sf\longmapsto -2z^2+4z+2z^2[/tex]
Combine like. variables[tex]\\ \sf\longmapsto -2z^2+2z^2+4z[/tex]
[tex]\\ \sf\longmapsto (-2+2)z^2+4z[/tex]
[tex]\\ \sf\longmapsto 0z^2+4z[/tex]
[tex]\\ \sf\longmapsto 4z[/tex]
Write equations for the vertical and horizontal lines passing through the point (5,-9).
Answer:
the vertical line is:
x = 5
The horizontal line is:
y = -9
Step-by-step explanation:
A vertical line has a fixed x-value, while a horizontal line has a fixed y-value.
Then we can write a vertical line as:
x = a
and a horizontal line as
y = b
Then, if we want a vertical line that passes through the point (5, -9), remember that the x-vale will be fixed, then we fix the x-value at the same x-value of the point, which we know that is 5, then the vertical line that passes through the point (5, -9) is:
x = 5
While the horizontal line that passes through the point (5, -9) will be a line with the y-value fixed at the y-value of the point, which we know is -9
Then the horizontal line is:
y = -9
Help me, please
I really need
Answer:
answrr
yes ok
Step-by-step explanation:
4+4-4#_44
8 ÷ -2 · 42 + 9 i need help please
You and six friends play on a basketball team. A sponsor paid $100 for the league fee, x dollars for each player’s T-shirt, and $68.25 for trophies. Write an expression for the total amount paid by the sponsor
Answer:
Total amount paid by the sponsor = 175 + 6d
Step-by-step explanation:
You and 5 friends = 6 people
Cost of renting a bus = $75
Team entry fee = $100
Cost of each student t shirts = $d
Cost of 6 student t shirts = $d × 6= $6d
Write an expression for the total amount the sponsor paid.
Total amount paid by the sponsor = Cost of renting a bus + Team entry fee + Cost of 6 student t shirts
= $75 + $100 + $6d
= $175 + $6d
Total amount paid by the sponsor = 175 + 6d
Where,
d = cost of each student t shirts
if a hexagonal prism has a volume of 539 cubic meters and is 16 meters tall, find the area of the hexagonal base
Base Area= ___ m^2
9514 1404 393
Answer:
33 11/16 m² = 33.6875 m²
Step-by-step explanation:
The volume of a prism is given by ...
V = Bh
where B is the area of the base, and h is the height. Solving for B, we find ...
B = V/h
B = (539 m³)/(16 m) = 33 11/16 m² = 33.6875 m²
Question 13 of 46
What is the remainder for the synthetic division problem below?
Answer:
Step-by-step explanation:
Let's do this out as best as we can here. Here's the problem:
2 | 3 1 2 -7
___________
The rule is to bring down the first term, whatever it is (ours is a 3), and multiply it by the number "outside" which is a 2. Put that product up under the number next to the 3:
2 | 3 1 2 -7
6
3
Then add straight down, and multiply that sum by the 2 outside and put that product under the next number (the 2 "inside" the box):
2 | 3 1 2 =7
6 14
3 7
And do the same thing. Add straight down, multiply the sum by 2 and put the product up under the next number, -7, and add again. The final is shown below:
2 | 3 1 2 -7
6 14 32
3 7 16 25
The last number in the very bottom row, the depressed polynomial row, is the remainder. Ours is a 25. This is the super easy way to divide polynomials, as long as our divisor is a linear (first degree) term.
I need help FAST!!!Make sure you can explain the problem
Answer:
AB is not a tangent to the circle
Step-by-step explanation:
The angle between a tangent and the radius at the point of contact = 90°
Using Pythagoras' identity to determine if the triangle is right at A
If the square of the longest side is equal to the sum of the squares on the other 2 sides then A is right.
longest side = 15 , then 15² = 225
8² + 9² = 64 + 81 = 145 ≠ 225
Then AB is not a tangent to the circle
Any help would be nice
Answer:
11. angles on a straight line add up to 180
so 180 -133 equal to b.b=47
12.Vertical opposite angles are equal.
therefore b=50
Find the measure of b.
please help!
=======================================================
Explanation:
The inscribed angle 20 degrees doubles to 2*20 = 40 which is the measure of the central angle, and the arc in which the inscribed angle subtends (or cuts off). This is due to the aptly named inscribed angle theorem.
------------
A slightly longer alternative path would be to do this:
The triangle with interior angles 20 and c is isosceles. Note how the missing angle up top is one of the congruent base angles, so the missing angle is 20 degrees. That means angle c is...
20+20+c = 180
40+c = 180
c = 180-40
c = 140
Then angle b is supplementary to this
b+c = 180
b+140 = 180
b = 180-140
b = 40
This path leads to the same answer. It's slightly longer, but it's a path you can take if you aren't familiar with the inscribed angle theorem.
In fact, this line of thinking is effectively how the inscribed angle theorem is proved as shown in the diagram below.
1st point: (1,2)
2nd point: (4,4)
Answer:
y = 2/3x + 4/3
Step-by-step explanation:
i found the slope using [tex]\frac{rise}{run}[/tex]. so it would be 2/3. next i just kinda tested similar numbers in the graph to find b.
if you aren't allowed to put factions i would say put:
y = 0.67x + 1.33
Answer:
[tex]2x - 3y + 4 = 0[/tex]
Step-by-step explanation:
The formula of finding equation of two different point is
[tex] \frac{x - x1}{x1 - x2} = \frac{y - y1}{y1 - y2} [/tex]
here, x1 =1, x2=4, y1= 2 and y2= 4
hope you can understand.
HELP ASAP KHAN NEED HELP NOW ITS KHAN
Answer:
[tex]{ \bf{ \green{line \: B}}}[/tex]
It's a direct proportionality
