Answer:
a) 0.0214 = 2.14% probability that none of the people are Independent.
b) 0.8516 = 85.16% probability that fewer than 6 are Independent.
c) 0.8914 = 89.14% probability that more than 2 people are Independent.
Step-by-step explanation:
For each people, there are only two possible outcomes. Either they are independent, or they are not. For each person asked, the probability of them being Independent voters is the same. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
It is believed that 11% of voters are Independent.
This means that [tex]p = 0.11[/tex]
A survey asked 33 people to identify themselves as Democrat, Republican, or Independent.
This means that [tex]n = 33[/tex]
A. What is the probability that none of the people are Independent?
This is P(X = 0). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214[/tex]
0.0214 = 2.14% probability that none of the people are Independent.
B. What is the probability that fewer than 6 are Independent?
This is
[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214[/tex]
[tex]P(X = 1) = C_{33,1}.(0.11)^{1}.(0.89)^{32} = 0.0872[/tex]
[tex]P(X = 2) = C_{33,2}.(0.11)^{2}.(0.89)^{31} = 0.1724[/tex]
[tex]P(X = 3) = C_{33,3}.(0.11)^{3}.(0.89)^{30} = 0.2202[/tex]
[tex]P(X = 4) = C_{33,4}.(0.11)^{4}.(0.89)^{29} = 0.2041[/tex]
[tex]P(X = 5) = C_{33,5}.(0.11)^{5}.(0.89)^{28} = 0.1463[/tex]
[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0214 + 0.0872 + 0.1724 + 0.2202 + 0.2041 + 0.1463 = 0.8516[/tex]
0.8516 = 85.16% probability that fewer than 6 are Independent.
C. What is the probability that more than 2 people are Independent?
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214[/tex]
[tex]P(X = 1) = C_{33,1}.(0.11)^{1}.(0.89)^{32} = 0.0872[/tex]
[tex]P(X < 2) = 0.0214 + 0.0872 = 0.1086[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.1086 = 0.8914[/tex]
0.8914 = 89.14% probability that more than 2 people are Independent.
A charge of 100 elementary charges is equivalent to?
[tex] \sf{with \: explanation \: please}[/tex]
Answer: The charge is equal to 1.602*10^(-17) C
Step-by-step explanation:
The elementary charge (the smallest charge that exists) is the charge of one proton (or the magnitude of the charge of a single electron), and it is equal to:
c = 1.602*10^(-19) C.
Where C stands for coulombs,
Then a charge of 100 elementary charges is equal to 100 times the charge of a single electron, this is:
Charge = 100*( 1.602*10^(-19) C) = 1.602*10^(-17) C
7th grade math
HELP ME whovever is good at this!
Find the volume of this prism. Its a triangular prism
Answer:
120 cm cubed
Step-by-step explanation:
first we need to find the size of the triangular face. we can do this by taking the height and with of the base, multiplying them, then dividing by two (3*8)/2
which gives us 12, so now we multiply by 10 to get the volume of the full prism. 12*10=120
Ayúdenme por favor es muy importante
Answer:
boop
Step-by-step explanation:
Answer:
15-378099
Step-by-step explanation:
wjjcbm car red saw sell cell problem see one the window
Evaluate the expression 2^5
Answer:
32
Step-by-step explanation:
2 x 2 x 2 x 2 x 2
32
hope this helps
what can be added to 2 to give us -6
Answer:
-8 can be added to 2 to give us -6
Step-by-step explanation:
hopefully this helps :)
Can someone help me please
Answer:
The mode of sunday is 15 is correct
What is the value of m squared minus 2 m n + n squared for m = negative 2 and n = 4?
Answer:
What is the value of m squared minus 2 m n + n squared for m = negative 2 and n = 4? -36. -4.
Step-by-step explanation:
hope this helps
PLEASE HELP ME. I WILL MARK YOU AS BRAINLINEST
Here are Xavier's bowling scores:
135, 140, 130, 190, 112, 200, 185, 172, 163, 151, 149
what is the standard deviation rounded to the nearest tenth?
Answer:
26.3
Step-by-step explanation:
the first guy was close, for those of you who struggle with acellus im here to help haha
HELP ASAP!!!!!!!!!!!!!!!!!
Answer:
#3 2 Right, 4 Down & #4 Vertical Compression
A chef takes c cartons of eggs from the refrigerator. Each carton contains 12 eggs. The chef wants to have a total of at least 50 eggs.
Answer: 5 cartons
Step-by-step explanation:
If the Chef wants to have a total of at least 50 eggs and each carton contains 12 eggs, divide 50 by 12 to find out the number of cartons needed and then round the number up:
= 50 /12
= 4.16
Round it up to the nearest 1:
= 5 cartons
This will ensure that there is at least 50 eggs because 5 * 12 = 60 eggs.
What is the surface area of the cylinder?
226.08 cm²
678.24 cm²
1,356.48 cm²
452.16 cm²
Answer:
452.16
Step-by-step explanation:
i got it right on test
The surface area of the cylinder is,
⇒ TSA = 452.16 cm²
We have to given that;
Height of cylinder = 6 cm
And, Diameter of cylinder = 12 cm
Hence, We get;
⇒ Radius of cylinder = 12 / 2 = 6 cm
We know that;
The formula for the total surface area of a given cylinder whose radius is r and height is h is,
TSA = 2πr (h + r)
Hence, We get;
TSA = 2πr (h + r)
TSA = 2 × 3.14 × 6 (6 + 6)
TSA = 37.68 × 12
TSA = 452.16 cm²
Thus, The surface area of the cylinder is,
⇒ TSA = 452.16 cm²
Learn more about the multiplication visit:
https://brainly.com/question/10873737
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Find the error & explain why it is wrong:
Laural had to find the average rate of change of f(x) over the interval from x = 6 to x = 10 using the table below.
What did she do wrong?
Step b is wrong. The slope is the change in y over the change in x.
Step b should be (18- 8)/( 10-6)
= 10/4
= 5/2
The distance y in miles traveled by a car is 20 times the number of gallons x of gasoline used by the car. Write and graph a function that describes the relationship between x and y
Answer:
y=20x
Step-by-step explanation:
Find the slope of the line through the points (12, -9) & (-11, -9)
Answer:
0
Step-by-step explanation:
Answer:
no. why?
Step-by-step explanation:
The highest elevation in Delaware is 106 feet higher than the highest elevation in Florida. Louisiana's highest elevation is 190 feet higher than Florida's highest elevation. If you climbed from sea level to the highest points in Delaware, Florida, and Louisiana, you would only climb 1331 feet. How high is the highest elevation in each of the three states?
Answer:
Florida = 345 feets
Delaware = 451 feets
Louisiana = 535 feets
Step-by-step explanation:
Given that:
Let :
Highest elevation in Florida, = x
Highest elevation in Delaware = x + 106
Highest elevation in Louisiana = x + 190
Sum of highest elevation in the 3 states = 1331 feets
Hence,
x + x + 106 + x + 190 = 1331
3x + 296 = 1331
3x = 1331 - 296
3x = 1035 feets
x = 1035 / 3
x = 345 feets
Hence,
Highest elevation in Florida, = x = 345
Highest elevation in Delaware = 345 + 106 = 451
Highest elevation in Louisiana = 345 + 190 = 535
An alloy consists of 13 parts of copper to 7 parts of zinc and 5 parts of Nickel what is the percentage composition of the alloy
Answer:
52% Copper, 28% Zinc, 20% Nickel
Step-by-step explanation:
Copper is 13 out of 13+7+5 = 25
13/25 = 52%
Zinc is 7 out of 25 so 28%
Nickel is 5/25 = 20%
A robotics company sells robot vacuum cleaners. Since the newest model was introduced a while back, the old model has seen its sales fall by a consistent 20% per month. If 5,100 old vacuum cleaners were sold this month, how many will be sold 3 months from now? WILL GIVE BRAINLIEST!!
HELP PLEASE !!!! SHOW WORK TO ANSWER PLEASE
Answer: ~14°, ~62°
Step-by-step explanation:
See image. You should be able to easily calculate the last two angles.
A bag of marbles contains 3 yellow marbles, 4 blue marbles, akd 8 orange marbles. Which of the following is true of
selecting a green marble? Select all that apply.
Answer:
B. This event will not happen.
C. The probability is 0.
Step-by-step explanation:
Only B and C can be answers because there are no green marbles so how can you select a green marble when there aren't any. The probility is 0 which means never going to happen.
what is VIII as a number
Answer:
8
Step-by-step explanation:
If you want you can give me brainlest
Which numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10), if any, will solve this equation?
2x + 3 = 5x - 3
Answer:
2
Step-by-step explanation:
2(2)+3=7
5(2)-3=7
Answer:
2
Step-by-step explanation:
2 multiplied by 2 is 4+3=7 and 5x2=10-3=7
When you see multiplying rational number you first
Answer:
use pemdas
Step-by-step explanation:
James has a goal of saving $600 by the end of the month. He already has $150 in his bank account. He makes $25 an hour at his job. Which equation could he use to find x, the number of hours he needs to work to reach his goal.
Answer:
150+25x = 600
Step-by-step explanation:
Hope this helped!
ANSWER CHOICES LISTED
what transformation to the linear parent function f(x)=x gives the function g(x)= -4x? select ALL that apply
a. Horizontally stretch by a factor of 4
b. Shift 4 units down
c. Vertically stretch by a factor of 4
d. Reflect over the x-axis
Answer:
c, d.
Step-by-step explanation:
c; A vertical stretch by 4 will put the coefficient (in this case 4) in front of your original equation.
d; the negative in front of the whole equation (-4x) will flip the graph across the x-axis.
Bill has $590 in his account. He earned $15 per hour for x hours, and deposited his earnings into
his account. Jeremy has $545 in his account. He earned $20 per hour for x hours, and deposited
his earnings into his account. They both worked the same number of hours and now have the same
amount of money in their accounts. Which of the following equations could be used to determine
the amount hours they worked?
A 15x + 590 = 20x + 545
B 20x + 590 = 15x + 545
C 15x + 590 + 20x + 545
D 590 – 15x = 545 – 20x
What is the equation of the line, in slope-intercept form, that passes through (3, -1) and (-1, 5)?
2 x + 3 y - 7 = 0
2 y = -3 x + 7
Answer:
Here is the answer i hope this helps!?Step-by-step explanation:
(7/5 , 7/5)
Equation Form: x = 7/5, y = 7/5Answer:
2y = -3x + 7
Step-by-step explanation:
(3, -1) and (-1, 5)
Slope:
m=(y2-y1)/(x2-x1)
m=(5+1)/(-1-3)
m=6/(-4)
m= -3/2
Slope-intercept:
y - y1 = m(x - x1)
y + 1 = -3/2(x - 3)
y + 1 = -3/2x + 9/2
y = -3/2x + 7/2
Standard form:
y = -3/2x + 7/2
3x + 2y = 7
2y = -3x + 7
I need help on this and the first person who answer this correctly gets BRANLIST
Answer:
-5/4
Step-by-step explanation:
Use the formula lol
Please help this is due in an hour lol
Answer:
w
Step-by-step explanation:
Answer: I can see the page it say file is deleted
:(
Select the correct answer.
Simplify the following expression.
12a3865
9a284c5
OA 4ab2
OB. 9ab2
OC. 4a62c
OD. 9ab2c
Find the median and mean of the data set below:
4, 45, 34, 23, 33
Answer:
27.8 is the mean... 33 is the median
Step-by-step explanation: