Answer:
[tex]Pr = 6.67\%[/tex]
Step-by-step explanation:
Given
[tex]n = 10[/tex] i.e. 10 people
Required
Probability of being next to each other
First, we calculate the total possible arrangements (without any restriction)
[tex]Total = n![/tex]
[tex]Total = 10![/tex]
If the three are to be next to each other,
First, we arrange the three
[tex]r_1 = 3![/tex]
Now, the 3 will be seen as 1; so, we have a total of 8 people i.e. (1 + 7 others)
The arrangement is:
[tex]r_2 =8![/tex]
So, the total arrangement, when they have to be next to one another is:
[tex]r = r_1 * r_2[/tex]
[tex]r = 3! * 8![/tex]
The probability is:
[tex]Pr = \frac{r}{n}[/tex]
[tex]Pr = \frac{3! * 8!}{10!}[/tex]
Expand
[tex]Pr = \frac{3*2*1 * 8!}{10*9*8!}[/tex]
[tex]Pr = \frac{3*2*1}{10*9}[/tex]
[tex]Pr = \frac{6}{90}[/tex]
[tex]Pr = 0.0667[/tex]
Express as percentage
[tex]Pr = 0.0667 * 100\%[/tex]
[tex]Pr = 6.67\%[/tex]
HELP ME PLSSSSSSSSSSSSSSSSSSSSSSSSSS
I NEED HELP ASAP. I WILL GIVE BRAINLIEST
A principal of $4000 is invested at 7.75% interest, compounded annually. How much will the investment be worth after 10 years? Use the calculator provided and round your answer to the nearest dollar.
Annually compoudning interest formula
PV(1+i)ⁿ
4000(1+.0775)¹⁰=8437.869021
which rounds to
$8437.87
If you were to do this on a financial calculator it would look like this:
N=10
I/Y=7.75
PV=4000
PMT=0
CMPT FV = same answer
Hi how’s your day ? Would you like to help me ?
Answer:
Hi
Good
I think its the second but i'm not sure because there are no measurements
Good luck
I NEED HELP ASAP
Acellus
Find the value of x. Round to the
nearest tenth.
X
372
6
x = [ ?
Find the area. The figure is not drawn to scale.
a
30 yd2
b
6.5 yd2
c
15 yd2
d
13 yd2
Answer:
The area if the triangle is 15 yd^2
Step-by-step explanation:
The formula to find the area if a triangle is base × height ÷ 2. So for this question it is 10×3÷2=15
15 x b = 60 explanation
Answer:
x = 4
( if you need a better explanation ask me and i'll give you a different one) :)
Step-by-step explanation:
15 x b = 60
15 x b divided by 15 = 60 divided by 15 to get the 15 from one side to the other
x=4
At a football stadium, 4% of the fans in attendance were teenagers. If there were 80
teenagers at the football stadium, what was the total number of people at the
stadium?
Answer:
2000 people
Step-by-step explanation:
4%= 80
2%=40
1%=20
100%= 2000 people
Hope this helped! :)
Answer:
2000 people
Step-by-step explanation:
80:4%
y:100%
[tex]\frac{80}{y} =\frac{4}{100}[/tex]
y × 4 = 80 × 100
4y = 8000
4y ÷ 4 = 8000 ÷ 4
y = 2000
What is 0.75 = 0.4 + 100
Answer:
0.75≠100.4
Step-by-step explanation:
help me out please real answers only (20 points)
Answer:
hope this will help
if correct please give brainliest
Hello I really need help be genuine I don’t want any links ! I really need help I will make brainliest :(
Answer:
28 of the student do not snowboard
Step-by-step explanation:
The radius of a circle is 7 millimeters. What is the circle's area?
Use 3.14 for a.
square millimeters
Answer:
153.86
Step-by-step explanation:
formula - πr²
= 3.14 * 7²
= 153.86
You are painting the root of a boathouse. You are going to place the base of a ladder 12 feet from the boathouse. How long does the ladder need to be to reach the poof of the boathouse?
Answer:
37 ft
Step-by-step explanation:
The ladder forms a right triangle as it elan's against the wall of the boat house.
Thus, the length of the ladder can be determined using Pythagorean theorem.
c² = a² + b²
c = length of ladder
a = 35 ft
b = 12 ft
Plug in the values
c² = 35² + 12²
c² = 1,225 + 144
c² = 1,369
c = √1,369
c = 37
Therefore, to reach the roof of the boathouse, the length of the ladder = 37 ft
What are the coordinates of the ride located 3.5 units away from the Merry-Go-Round and 1.25 units away from Roller Coaster 1? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all.
Answer:
-1.5, 0.5
Step-by-step explanation:
Convert radian measure into degrees.
From the latter, we obtain the equation 1 radian = (180π)o . This leads us to the rule to convert radian measure to degree measure. To convert from radians to degrees, multiply the radians by 180°π radians .
How do I find the indicated value for this problem?
Answer:
t_n =a +(n-1)d
t_100 = 2+ (100-1)6
= 2+99× 6
= 2 +594
= 596
Find the volume of the pyramid. Someone help plz
Answer:
2880
Step-by-step explanation:
10 x 8 x 6 x 12 = 5760/2 = 2880
Consider the geometric sequence 8,4,2,1,...
Answer:
Its A for the function that represents the geomertric sequence
There are two jars with marbles. The first jar contains 3 red, 4 green, and 5 blue marbles. The second jar contains 4 red, 2 green, and 6 blue marbles. What is the probability of the randomly drawing a green marble from the first jar and blue marble from the second jar
Answer:
both jars contain 12 marbles
for the first jar the probability is 4/12 which is 33%
for the second jar the probability is 6/12 which is 50%
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
theres 12 mables in each jar in this situation.
find the value of x in the figure.
What is the side length of the smaller square plate on which 36 CM chopstick can fit along a diagonal without any overhang
Step-by-step explanation:
2
57
65
566
77788
66777
66788
67899
6789
78899
789999
88889
8888888
788889
888888999999999
A local charity holds a carnival to raise money. In one activity, participants make a $3 donation for a chance to spin a
wheel that has 10 spaces marked with the values 0, 1, 2, 5, and 10. The participant wins the dollar amount marked on
the space on which the wheel stops. Let X represent the value of a spin. The distribution of X is given in the table.
a.1 b.1.5 c.2 d.2.1
Answer:
The median of the distribution is (first option);
1
Step-by-step explanation:
The values on the given table are presented as follows;
[tex]\begin{array}{cccccc}Value \ of \ Spin&0&1&2&5&10\\Probability&0.4&0.2&0.2&0.1&0.1\end{array}[/tex]
To find the median, we calculate the cumulative probabilities to find the value of the spin art which the cumulative probability is 0.5 as follows;
Cumulative probability, starting from the left, is therefore;
Probability for spin of 0, 0.4 + Probability for spin of 1, 0.2 = 0.6
Therefore, given that the probability of 0.5 occurs within the Value of Spin 1, the median of the probability distribution is 1
The median value of the distribution of X is 1
How to determine the median?The cumulative probability of the distribution is:
[tex]\sum E(x) = 1[/tex]
The median position is calculated as:
[tex]Median = \frac{\sum E(x)}{2}[/tex]
This gives
[tex]Median = \frac{1}{2}[/tex]
Median = 0.5 th
This mean that the median is at the 0.5th position
The value of the spin at the 0.5th position is 1
Hence, the median value of the distribution of X is 1
Read more about median at:
https://brainly.com/question/14532771
#SPJ2
13. A square based cuboid has a width of 4cm. If the volume of the cuboid is 400 cubic
centimeters, what is the surface area of the cuboid?
Answer:
216 cm²
Step-by-step explanation:
Applying,
V = lwh..................... Equation 1
Where V = volume of the cubiod, l = length of the base, width of the base, h = heigth of the cubiod.
From the question,
Since the base of the cubiod is squared,
Therefore,
w = l = 4 cm, V = 400 cm³
Substitute these values into equation 1
400 = 4×4×h
h = 400/(4×4)
h = 25 cm
A = lw+lh+wh.................. Equation 1
Where A = surface area of the cuboid.
Given: l = 4 cm. w = 4 cm, h = 25 cm
Substitute these values into equation 1
A = (4×4)+(4×25)+(4×25)
A = 16+100+100
A = 216 cm²
PLEASE PLEASE PLEASE HELP ME!!!!!!!!!
Choose the algebraic description that maps the image ΔXYZ onto ΔX′Y′Z′. Question options: A)
(x, y) → (x + 6, y – 1)
B)
(x, y) → (x – 5, y – 1)
C)
(x, y) → (x + 5, y – 1)
D)
(x, y) → (x – 6, y – 1)
Answer:
D
Step-by-step explanation:
To get from ΔXYZ (the figure on the right) to ΔX′Y′Z′ (the figure on the left), each point is translated left 6 units and down 1.
Movement left and right is related to the x-axis. So moving 6 units left (in a negative direction) is x - 6.
Movement up and down is related to the y-axis. So going down (in the negative direction) is y - 1.
Find the lateral surface area of the can of mandarin oranges. Round your answer to the nearest tenth. Radius: 4cm, Height: 11cm
Answer:
276.3cm²
Step-by-step explanation:
The lateral surface area is the area of all the sides of a 3-dimensional object excluding its base and top.
A can is in the shape of a cylinder
Lateral surface area of a cylinder = 2πrh
π = pi = 3.14
h = height = 11
r = radius = 4
2 x 3.14 x 4 x 11 = 276.32 cm²
to the nearest tenth = 276.3 cm²
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Please help! This is urgent what is the answer
Answer:
Your answer would be 3.4
Step-by-step explanation:
I would explain but it seems like you in a hurry for the answer so I'm just going to give you the answer hope you get a %100 on whatever your doing!!
Please mark brainly!
Answer:
Step-by-step explanation:
-3×1/4-6 please help im losing my mind
Answer:
-45/4 or -11.25
I'm pretty sure this is right hope it helps
Answer:
Simplify the expression:
Exact form:
-27/4
Decimal form:
-6.75
Mixed number:
-6 3/4
Step-by-step explanation:
The / actually means to divided.
please help me
i’m so stuck
Answer:
2 cm
Step-by-step explanation:
V=πr2h = 20π
-π -π
r2h = 20
h= 5
r2(5) = 20
/5 /5
r2=4
/2 /2
r=2cm
(my work is complicated, but trust me 2 cm is the answer)
The black trapezoid is a dilation of the green trapezoid. What is the scale factor of the dilation?
A) 1/5
B) 1/3
C) 3
D) 5
============================================================
Explanation:
We're told that "The black trapezoid is a dilation of the green trapezoid". This means the black trapezoid is the image, while the green one is the preimage. In other words, the green is the "before" and the black is the "after". The mapping is [tex]\text{green} \to \text{black}[/tex] because of the ordering [tex]\text{preimage} \to \text{image}[/tex]
Since the green figure (preimage) is larger than the black figure (image), the scale factor must be some value k such that 0 < k < 1. That narrows the answer choices between A and B.
Focus on the green trapezoid. The bottom left corner is at (-10,0). The bottom right corner is at (5,0). The distance between these two points is 15 units.
Using the same idea, the distance along the bottom edge of the black trapezoid is 3 units. We can count out the spaces along the bottom, or we can note the two bottom corners are at (-2,0) and (1,0).
------------------------------
So far we found:
The bottom edge of the green trapezoid is 15 unitsThe bottom edge of the black trapezoid is 3 unitsThese two edges correspond to one another. We divide the values to get the scale factor. We divide the image length over its corresponding preimage length.
scale factor = (image length)/(preimage length)
scale factor = 3/15
scale factor = 1/5
Two partners starting a new restaurant and the total investment is $67,000. Their investments are in the Ratio 3:4. How much does each investor contribute?
Answer:
One investor should make ABOUT $28714.29 while the other will make about $38285.71
Step-by-step explanation:
67000 x 3/7 =28714.285...
67000 x 4/7 = 38285.714....
HELPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
[tex]16[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 8x + c[/tex]
[tex] {x}^{2} + c - 8x[/tex]
To find the c value [tex]c = ( \frac{b}{2})^{2} [/tex] , divide the coefficient of x by 2 and square the result.
[tex]( - 1 \times 4 {)}^{2} [/tex]
[tex]( - 4 {)}^{2} [/tex]
[tex]16[/tex]
Hope it is helpful....