Answer:
right
Step-by-step explanation:
s
a
k
+
1
=
a
k
+
2
and
a
1
=
6
a
2
=
a
1
+
2
=
6
+
2
=
8
a
3
=
a
2
+
2
=
8
+
2
=
10
a
4
=
a
3
+
2
=
10
+
2
=
12
and
a
5
=
a
4
+
2
=
12
+
2
=
14
and hence first five terms are
{
6
,
8
,
10
,
12
,
14
}
As
a
k
+
1
=
a
k
+
2
, each term is
2
more than previous term
it is an arithmetic sequence with first term as
a
1
and common difference
d
and hence
n
t
h
term is
a
n
=
a
1
+
(
n
−
1
)
d
and hence
n
t
h
term of the sequence is
a
n
=
6
+
(
n
−
1
)
×
2
=
6
+
2
n
−
2
=
2
n
+
4
A bag contains 18 balls. There are 6 red balls, 6 yellow balls, and 6 green balls. A ball is drawn at random and returned. Then another ball is drawn at random. Select ALL statements that are true.
A. The expected probability of drawing a green ball first is the same as the expected probability of drawing a green ball second.
B.There are six possible outcomes.
C.The probability of drawing a red ball first is the same as not drawing a red ball second.
D.The expected probability of drawing a red ball and then a yellow ball is 19.
Answer:
There are 18 balls in the bag:
6 are red
6 are yellow
6 are green.
A ball is drawn at random and then returned.
Then another ball is drawn.
Now, let's analyze each option and let's see if it is true or not.
A) The probability of drawing at random a green ball is equal to the quotient between the number of green balls and the total number of balls.
Then for the first draw, the probability is 6/18
Because the drawn ball is returned, for the second draw we still have 6 green balls and 18 balls in total, then the probability still is 6/18
Statement A is true
B) if we define the notation:
YR
as:
Yellow in the first draw, red in the second draw.
The possible outcomes are:
YR
YG
YY
RR
RG
RY
GR
GG
GY
So we have a total of 9 outcomes, we also can calculate this in the following way:
For the first event (first draw) we have 3 possible outcomes (Y, G, and R)
For the second event (second draw) we have again 3 possible outcomes.
The total number of outcomes is the product between the possible outcomes for each event, this is:
3*3 = 9
Then statement B is false.
C) The probability of drawing a red ball first is:
p = 6/18
The probability of NOT drawing a red ball second, is equal to the probability of drawing a yellow or green ball second (we have 12 balls that are green or yellow, and 18 total balls) then this probability is:
q = 12/18
The probabilities are different, then we can conclude that statement C is false.
fD) The expected probabilty of drawing a red ball and then a yellow ball is the product of the individual probabilities, this is:
prob of drawing a red ball first = 6/18
prob of drawing a yellow ball second = 6/18
Joint probability:
P = (6/18)*(6/18) = (1/3)*(1/3) = 1/9
So statement D is true. (it says 19, i suppose that there is a mistake in this sentence and it actually should say 1/9)
The scale factor of the scale model of a desk to the actual desk is represented by the ratio 1:16. If the dimensions of the model desk are 2 inches wide by 3.75 inches long what is the actual area of the top of the desk?
what is the mean price of $29 $58 $15 $129 $75 $22
What is the unit rate? 52.5/2.5
Answer:
21
Step-by-step explanation:
Joe is wrapping a birthday present in a box that is 21 inches long, 14.5 inches wide, and 9 inches high. All sides of the box must be covered. What is the surface area that must be covered by wrapping paper? *
Answer:
2740.5
Step-by-step explanation:
This is what I got why I did was multipley them
Answer:
2740.5
Step-by-step explanation:
This is what I got when I multipled
Why is it not possible to make a right triangle using lengths of 4 feet, 8 feet, and 10 feet?
Answer:
because it does not follow the rule... you should be able to and any to side lengths and get an answer greater than the third side.
Brook makes this conjecture: Because the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal.
Answer:
The Brooks conjecture is true as the proportion of the area of a sector to the area of a circle is only dependent on the angle.
Step-by-step explanation:
The area of a sector for a radius r and an angle θ is given as
[tex]\Delta Sector=\dfrac{1}{2}r^2\theta[/tex]
Whereas the area of a circle for a radius r is given as
[tex]\Delta Circle=\pi r^2[/tex]
Now the ratio is given as
[tex]\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\dfrac{1}{2}r^2\theta}{\pi r^2}[/tex]
Here as r is the radius of the circle and it is the same therefore the above ratio is simplified to
[tex]\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\theta}{2\pi }[/tex]
Here as π is constant the only variable here is θ. Thus according to Brooks conjecture when the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal is true.
A sequence defined by the rule f(n)=4f(n-1)+2.if f(1)=3 then find f(4)=?
Answer:
f(4) = 6
Step-by-step explanation:
Given the rule f(n) = 4f (n - 1) + 2 where f(1) = 3, f(n) is just a fancy way to name the variable y. As you've seen before, there are equations that are usually y equals x and something. For example:
y = mx + b
is the same thing as
f(n) = y = mn + b.
It might be that you have multiple of the same equation where f(n) and f(x) have two different outcomes.
The f(n) part (bolded) is the "x variable" in this equation. So in f(1), n = 1.
f(n) = 4f (n - 1) + 2
f(n) = (4fn - 4f) + 2
f(n) = (n) + 2
f(1) = 1 +2
3 = 3
Now do the same thing for f(4):
f(n) = 4f (n - 1) + 2
f(n) = (4fn - 4f) + 2
f(n) = (n) + 2
f(4) = 4 + 2
f(4) = 6
What are the steps to solving this?
Answer:
m = 6[tex]\sqrt{3}[/tex] , n = 6
Step-by-step explanation:
Using the sine and cosine ratios in the right triangle and exact values
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{m}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2m = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
m = 6[tex]\sqrt{3}[/tex]
and
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{n}{12}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2n = 12 ( divide both sides by 2 )
n = 6
A single card is drawn from a standard 52 card deck.
Work out the probability of choosing the "5 of diamonds".
Give your answer
Answer:
1/52
Explanation:
I dont know what To Put here srry
There is a question here it pic
Answer:
31.4 OR 10π
Step-by-step explanation:
circumference of the circle: 2 × 3.14(π) × radius
the radius in the circle shown is 5
2 × 3.14 × 5 = 31.4
or
2 × π × 5 = 10π
two consecutive numbers if the smallest is 11
Let two consecutive numbers are : x,x+1
Sum of these numbers is -11, then
x+x+1=−11
⇒2x=−11−1=−12
⇒x=−6
and other consecutive number is x+1=−6+1=−5
The answer is -6 and −5
hii please help i’ll give brainliest
Answer: Point K
Step-by-step explanation:
The first number is the x line and the second number is the y line <3 pls mark brainliest
Duran is making party favors by placing a circular disk in the bottom of a plastic bag. Each disk has diameter of 6 centimeters. What is the area of the disk to nearest hundredth. ** Use 3.14
A. 18.84
B. 28.26
C. 91.06
D. 113.04
Answer:
B. 28.26
Step-by-step explanation:
Need help. Find the value of x
Answer:
Step-by-step explanation:
14
A rectangular piece of fabric was used to make a banner. It measured 12 feet long and had an area of 24 square feet. What is its perimeter?
Answer:
the perimeter is 28
Step-by-step explanation:
2+2=4
12+12=24
24+4=28
Answer:
Perimeter = 28 feet
Step-by-step explanation:
The formula to find the area of a rectangle is Length * width and we already have one dimension here, so we simply plug it in and make an equation to the find the unknown measurement
12 * d = 24
d = 24/12
d = 2
So the missing dimension is 2 feet
Now we simply find the perimeter of the rectangle using the formula
2 ( length + width)
= 2 (12 + 2 )
= 2 ( 14 )
= 28 feet
pls help, The graph shown below shows the relationship between average heart rate (in beats per minute) of several
mammal species and their life expectancy (in years)
Answer:
The answer is Nonlinear Association
Hi There Answer Nonlinear Association
Step-by-step explanation:
Please need help nowwwwww helpppppp
What is the image of (−7,−8) after a dilation by a scale factor of 44 centered at the origin?
Answer:
(-308, -352)
Step-by-step explanation:
For a dilation from the origin, you multiply the x and y by the scale factor.
-7 * 44 = -308
-8 * 44 = -352
(-308, -352)
2 students want pancakes and 9 students want waffles. What is the ratio of the number of
students who want pancakes to the number of students who want waffles?
Answer:
2:9
Step-by-step explanation:
To create the ratio, put the number of students that want pancakes to the number that wants waffles.
Since 2 want pancakes and 9 want waffles, the ratio will be 2:9
So, the answer is 2:9
Answer:
2:9
Step-by-step explanation:
beacause if every 2 students want pancakes and 9 want waffles
can someone pls help me with this question
Answer:
6
Step-by-step explanation:
The x intercept is the value of x when y equals zero. The table tells us that when x goes up by one, y goes down by two.
Knowing this, all we have to do is increase x by 1 and decrease y by two until y is zero, and we can look and see what x is.
I also made a visual in the file below if this is confusing
Please help me asap. No links please
8th Grade
Answer:
Option P √2.5²-1.2²
Step-by-step explanation:
a = distance between Toby's House and the playground = 1.2 inches
b = distance between the playground and Toby's Friend's House = unknown
c = distance between Toby's House and Toby's Friend's House = 2.5 inches
Use the Pythagorean Theorem to calculate the side length of b:
a²+b²=c²
b²=c²-a²
b=√(c²-a²)
b=√(2.5²-1.2²)
Therefore, option P is correct.
Answer: it is p
Step-by-step explanation:
One endpoint of a line segment has coordinates represented by (x + 2, 3y). The midpoint of the line segment is (6, -3). How are the coordinates of the other endpoint expressed in terms of x and y? O (10 – r, y) O (10 - 1,-6-y) (12 - 2,6 - 3y) (14 – 1,3 - y) 1 2 3 4 5 Next
Use the distributive property to expand (simplify): 5(12mu - 7v)
Answer:
60mu - 35vStep-by-step explanation:
You disturbute 5 into the 12 and add mu and your answer and distribute 5 into the 7 and keep the v with your answer.Hopes this works.[tex]\textsf{Hi Brainy User, I'm Here to Help you!}[/tex]
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\textsf{The \textbf{distributive property} states the following:}[/tex]
[tex].\qquad\bullet\sf{a(b+c)=ab+ac}[/tex]
[tex]\textsf{So we take a number or a variable \textbf{a} and distribute it by multiplying it times b and c}[/tex]
[tex]\textsf{Now we simplify.}[/tex]
[tex]\textsf{5(12mu-7v)=5*12mu-5*7v=60mu-35v}[/tex]
[tex]\Large\textsf{\textbf{Answer: 60mu-35v}}[/tex]
[tex]\Large\overbrace{\underbrace{\boldsymbol{Reflection - RoSe}}}^\star_\star[/tex]
Can someone please help me with this math problem:):)
Answer:
i dont understand
Step-by-step explanation:
A triangle has side lengths of 17 inches, 19 inches, and 10 inches. What kind of triangle is it?
Answer:
Scalene triangle
Step-by-step explanation:
a scalene triangle has 3 uneven sides
Write an equation of the line that passes through the given point P and has the given slope m.
P(9,4)
m = -1/3
9514 1404 393
Answer:
y -4 = -1/3(x -9)
Step-by-step explanation:
The point-slope form of the equation for a line is useful for this.
y -k = m(x -h) . . . . . . . line through point (h, k) with slope m
You are given (h, k) = (9, 4) and m = -1/3. Putting these values into the form gives the equation ...
y -4 = -1/3(x -9)
If a fair coin is tossed 6 times, what is the probability, to the nearest
thousandth, of getting exactly o heads?
Answer:
0
Step-by-step explanation:
the probability of getting 0 heads is not possible as either 1 side has to be a head or a tail
It cannot be none
Therefore...Probability is 0 of getting 0 heads
plz mark as brainliest
thanks
Geometry help please. What is J? What is G?
Answer:
j = 32
g = 78
Step-by-step explanation:
because they are similar you can use CPCTC corresponding parts of congruent triangles are congruent to determine f = j and h = g
answer only thx thx IMAOSJSJA
Answer:
5) 48
6) 60
Step-by-step explanation: