According to a recent survey, 31 percent of the residents of a certain state who are age 25 years or older have a bachelor’s degree. A random sample of 50 residents of the state, age 25 years or older, will be selected. Let the random variable B represent the number in the sample who have a bachelor’s degree. What is the probability that B will equal 40 ?
Answer:
The probability of getting B=40 is [tex]0.11\times 10^{-11}[/tex] which is negligible.
Step-by-step explanation:
Given that 31 percent of the residents of a certain state who are age 25 years or older have a bachelor’s degree.
Assuming the population of the state aged 25 years or more is Bernoulli's population.
So, when 1 person aged 25 years or more from the state selected randomly, the probability of that person, p, having a bachelor’s degree,
[tex]p= 31/100=0.31\cdots(i)[/tex]
Now, according to Bernoulli's formula, the probability of exactly r success from the total number of sample n is
[tex]P(r)=\binom{n} {r}p^r(1-p)^{n-r}\cdots(ii)[/tex]
where p is the probability of success.
Here, a random sample of 50 residents of the state, age 25 years or older, will be selected.
So, n=50.
Given that variable B represents the number in the sample who have a bachelor’s degree,
We have to find the probability that B will equal 40.
So, r=B= 40.
Now, putting these values in equation(ii) and using p=0.25 from equation (i), we have
[tex]P(r=40)=\binom{50} {40}(0.31)^{40}(1-0.31)^{50-40}[/tex]
[tex]=\frac {50!}{40! (50-40)!}(0.31)^{40}(0.69)^{10} \\\\=\frac {50!}{40! \times 10!}(0.31)^{40}(0.69)^{10} \\\\=0.11\times 10^{-11}[/tex]
So, the probability of getting B=40 is [tex]0.11\times 10^{-11}[/tex] which is negligible.
Using the binomial distribution, it is found that there is a [tex]1.13 \times 10^{-12}[/tex] probability that B will equal 40.
-----------------------------
For each resident, there are only two possible outcomes. Either they have a bachelor's degree, or they do not. The probability of a resident having a bachelor degree is independent of any other resident, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
p is the probability of a success on a single trial.
In this problem:
31% have a bachelor's degree, thus [tex]p = 0.31[/tex].Sample of 50, thus [tex]n = 50[/tex].The probability is:
[tex]P(B = 40) = C_{50,40}(0.31)^{40}(0.69)^{10} = 1.13 \times 10^{-12}[/tex]
[tex]1.13 \times 10^{-12}[/tex] probability that B will equal 40.
A similar problem is given at https://brainly.com/question/24863377
The simple interest formula is 1=Prt. The P represents the principal.The principal is____
-the percent interest for his year
-the rate
-the amount of money invested
-the percent proportion
Answer:
amount of money invested
Step-by-step explanation:
Hope it helps
Kirby is packing granola bars for a field
trip. He already packed two bags with five granola bars in each bag. He has ten more to pack. How many granola bars will Kirby pack
Answer:20
Step-by-step explanation:
If I'm understanding the questions correctly it is asking how many granola bars in total. So you take the 5 in the 2 bags which is 2•5 which is ten and add those to the ten more he has to pack which is 20.
how do i even solve this?? i’m super confused anything would help. ty.
Answer:
[tex] {b}^{4} + 1[/tex]
Your teacher messed up the question so just put the top right answer and ask your teacher if they did accidently miss-type.
Step-by-step explanation:
The first thing to do in this equation is look at the exponents. When multiplying a variable (or any number equal to itself with the same exponent) you only have to add the exponent. So for a, you would add the exponents to get 0, so a to the power of 0 is 1, because any number to the power of 0 is 1. For b, we would add the 3 and 1. (When no exponenet is present in a number then it is 1, so for this I added 3 and 1). So it would be 4. The correct answer is
[tex] {b}^{4} + 1[/tex]
Solve the system of equations:
6x - 5y = 15
x = y + 3
Answer:
x = 0, y = -3
Step-by-step explanation:
plug in x as y + 3 into the first equation
6(y+3) - 5y = 15
6y+18 - 5y = 15
y = -3
x= 0
A party hat is shaped like a cone. Which measurement is closest to the volume in cubic inches. Dimensions are 6 and 9 inches Answer choices are: A: 84.82 B: 339.29 C: 254.47 D: 1,017.88
*see attachment for the diagram of the party hat
Answer:
A: 84.82 in³
Step-by-step explanation:
Given:
Diameter of hat = 6 in
Height of hat = 9 in
Required:
Approximate Volume of the Hat
SOLUTION:
The volume of the hat = volume of cone
Volume of cone = ⅓*πr²h
r = ½ of diameter = 3 in
h = 9 in
Volume = ⅓*π*3²*9
Volume = 84.82 in³
Answer:
It’s 84.82 which is A
Step-by-step explanation:
Helppppppppppppppppppp
There are 15 female students in Ms. Stell's World History Class. The ratio of females to males is 5:4. How many males are in her class?
Answer:
12
Step-by-step explanation:
Since 15 is 3 times the ratio you multiply 4 by 3
Answer:
There are 12 boys in Ms. Stell's World History Class.
Step-by-step explanation:
The ratio we are given is 5:4.
*5 is the simplified version of 15
*4 is the simplified version of x (total number of boys)
The first thing we need to do is find the number that gives us the total number of girls (15)
5*3 = 15.
Now we do that for the 4.
[tex]\frac{5*3}{4*3}[/tex] = [tex]\frac{15}{12}[/tex]
The answer should be 15:12
Best of Luck!
please construct ABCD with AB=5.5cm, BC=3.5,CD=4cm,AD=5cm and angle A= 45°.
Answer:32
Step-by-step explanation:
Help me please and thank you!!!
Answer:
f(3) = - 60
Step-by-step explanation:
To evaluate f(3) substitute x = 3 into f(x), that is
f(3) = 5(3)² - 7(4(3) + 3)
= 5(9) - 7(12 + 3)
= 45 - 7(15)
= 45 - 105
= - 60
in 2011, a professional climber scaled the outside of the Burj Khalifa, making it all the way up to 828 meters ( the highest point on which a person can stand) in 6 hours answers.
1. How far did they climb in the first 2 hours?
2. How far did they climb in 5 hours
3. How far did they climb in the final 15 minutes?
Answer:
Step-by-step explanation:
Given that:
A professional climber makes his way up to 828 meters in 6 hours in Burj Khalifa.
Therefore; in two hours, he would have climbed:
x = (828 m × 2hrs)/6 hrs
x = 276 miles
In five hours, he would have climbed;
y = ( 828 m × 5 hrs)/6 hrs
y = 690 miles
SInce 60 minutes = 1 hour
Then 15 minutes will be ( 15)/60 = 0.25 hours
Thus, in the last 15 minutes;
He climbed = (828 m × 0.25 hrs)/6 hrs = 34.5 miles
Write the decimal 0.68 as a fraction in simplest form.
Answer:
17/25
Step-by-step explanation:
First put it into fraction form: 68/100
Simplify in no particular order just make sure that what you do to the top, you do to the bottom: 68÷2=34 100÷2=50
Simplify as many times needed: 34/50 34÷2=17 50÷2=25
You have your answer! 17/25
The fraction in the simplest form of the decimal 0.68 is 17 /25.
The decimal form is 0.68. We are told to convert to the fraction form in it simplest form. Therefore,
0.68 = 68 / 100 = 17 / 25
The logic behind it is moving the decimal 2 points forward . This beget 2 zero's in the denominator. Moving the decimal 2 points forward makes 0.68 to become 68 and the denominator takes 2 zero's which makes it the same as 68 / 100. When we reduce it we get 17 /25.
read more: https://brainly.com/question/15922875?referrer=searchResults
When x= -1, what is the value of y?
Answer:You need to give a equation first.
Step-by-step explanation:Equation please!
Katie has $20 in a savings account that earns 10% interest, compounded annually.
To the nearest cent, how much interest will she earn in 3 years?
Answer:
In 3 years she will make $6.44.
Step-by-step explanation:
Answer
19.86
Step-by-step explanation:
what is the value of each digit in 312.054
Answer:
I think this is correct if not lmk please!
Step-by-step explanation:
300
10
2
.
0
5
4
Korey plants trees at a constant rate of 12 trees every 3 hours. What is an equation that relates p, the number of trees that korey plants, and h, the time he spends planting them in hours.
Answer:
p=4h
Step-by-step explanation:
Knowing that Korey plants 12 trees every 3 hours we then can figure out how many trees he plants in 1 hour, by dividing the ratio (12) to the rate (3) by doing that we get 4, which is the amount of trees that he would plant in 1 hour. Then the number of tree's that he plants (p) would equal 4 times how many hours he spends planting them.
solve 8x +5/2= 13.... please solve this
x = 21/16
Hope I helped
Answer:
21/16=x
Step-by-step explanation:
[tex]8x+\frac{5}{2} =13\\2(8x+\frac{5}{2} =13)\\16x+5=26\\16x=21\\x=\frac{21}{16}[/tex]
Hope this helps ;D
how do you expand 2(p-j)
Answer:
Disturbute
Step-by-step explanation:
2p-2j
Which expression is the factored form of 2/3x+4
A) 2/3 (x+6)
B) 1/3 (2x+6)
C) 2/3 (x+4)
D) 2/3 (x+12)
Answer:
A
Step-by-step explanation:
2/3x + 4 = 2/3 (x + 4/(2/3)) = 2/3 (x + 6)
Topic: Algebraic equations + factorisation
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
PLEASE HELP AND CHECK PHOTO!!
Answer:
Step-by-step explanation:
21/7 = x/4
84=7x
x=12
3:1 is your ratio
s/4 -7 =9
any help solving this question?
Answer:
S=64
Step-by-step explanation:
if the s is what your looking for
Answer:
s=64
Step-by-step explanation:
s/4-7+7=9+7
s/4=16
4s/4=16
two perpendicular lines intersect at the point (2,3). One line has a y-intercept of (0,5). Which of the following is the equation of the other line?
Answer:
The slope of the line is m=−1.
The equation of the line in the slope-intercept form is y=−x+5.
The equation of the line in the point-slope form is y−3=−(x−2).
The equation of the line in the point-slope form is y−5=−x.
The general equation of the line is x+y−5=0.
Complete the steps to solve for x.
- 0.71X +0.51x= 4.2
- 0.71x +0.51x= 4.2
[x = 4.2
are the triangles congrouent? if so by what postulate
Answer:
D Not enough information
Step-by-step explanation:
They give us one pair of congruent sides and we know there is a pair of congruent angles because of vertical angles however we can't say for sure that the sides are equal because there is no theorem to prove it and we can't guess by eye in Geometry
Hope This Helps :)
g(r)=-1-7r
g(6)=
I NEED HELP ASAP
Answer:
-43
Step-by-step explanation:
-1-7(6)
-1-42
-43
Which of the following best described the perpendicular cross section of a soup can? Rectangle, circle, triangle, square
Answer:
it would be a rectangle
Step-by-step explanation:
The perpendicular cross-section of a soup can should be considered as the rectangle.
What is a rectangle?A rectangle refer to a 2D shape that consist of 4 sides, 4 corners, and 4 right angles.
Opposite sides of a rectangle shape should contain the same length, with one pair being bigger as compared to the other pair.
Therefore, The perpendicular cross-section of a soup can should be considered as the rectangle.
Learn more about rectangle here: https://brainly.com/question/12406000
Noah eats 2/3 of an apple in 1/2 of a minute. How much time will it take him to eat a full apple?
Answer:
less than a minute
Step-by-step explanation:
How many millimeters are there in 7.89 meters?
O 7,890 millimeters
O 78,900 millimeters
O 789 millimeters
O 789,000 millimeters
Answer:
The first choice: 7,890 millimeters
Step-by-step explanation:
Remember that there are 100cm in a meter; there are 10mm in a centimeter.
100*10=1000
There are 1000 millimeters in a meter.
7.89*1000=7890
There are 7890 millimeters in 7.89 meters.
I hope this helps!!!
What is the solution set for 9x2-25 = 0?
Answer:
I believe is A.
Step-by-step explanation:
9x^2 - 25 = 0
9x^2 = 25
x^2 = 25/9
x = 5/3
How many groups of 12 day are in 1 week?
Answer:
none
Step-by-step explanation:
because its an impossible.