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
Sarah bought a bike that cost $260. She had a
coupon that was worth $55 off the cost of any
bike. Use the expression 260 + (-55) to find how
much Sarah paid for her bike.
PLEASE HELP ME IM DESPERATE
Answer:
She paid $205 for the bike .
Order the following rational numbers from least to greatest.
-49, 0.4, -0.45
Answer:
-49, -.45, .4
Step-by-step explanation:
8. The graph is of a function in the form p(t) = a • bt. What is the function? (2 points
9. Use this function to estimate the boa constrictor population in 2 years, 3 years, and 4 years. (6 points: 2 points for each year, including 1 point for showing your work and 1 point for the answer)
t: Time in years
P(t): Estimated snake population at time t
2
3
4
10. What pattern do you see in years 2, 3, and 4? How is the snake population changing every year? (2 points
11. How is the snake population changing every two years? (1 point
Making a Decision:
12. Do you think the snake population can continue to grow in this way forever? Why or why not? (2 points)
9514 1404 393
Answer:
8. p(t) = 5(2^t)
9. 20, 40, 80
10. doubles every year
11. multiplies by 4
12. no, it will soon exceed available habitat
Step-by-step explanation:
8. From the graph, a = p(0) = 5, and b = p(1)/p(0) = 10/5 = 2.
The function is ...
p(t) = 5(2^t)
__
9. You can read the values from the graph: 2 years: 20; 3 years: 40; 4 years: 80.
If you insist on evaluating the function, you have ...
p(2) = 5(2^2) = 5·4 = 20
p(3) = 5(2^3) = 5·8 = 40
p(4) = 5(2^4) = 5·16 = 80
__
10. The population doubles each year.
__
11. In 2 years, the population doubles twice, so is multiplied by 4.
__
12. No. Exponential functions don't last long in the real world. Eventually, required resources run out. In 15 years, there would be 163,840 snakes; in 20 years, there would be 5.2 million snakes; in 40 years, there would be 5.5 trillion snakes, about 44 snakes for every acre of land on earth (including polar areas).
If the length of the shorter diagonal AC of rhombus ABCD is 7 and measure of angle ABC = 60. Find the measure of angle BAC
Answer:
120 degrees
Step-by-step explanation:
It has to equal to 360, and so since angle B is 60 degrees, and it's the smaller angle, A and C have to be 120 degrees, and D has to be 60 degrees. Hope this helps.
What is the annual interest earned on a $4,000 deposit with a simple interest rate of 3%?
Answer:
120
Step-by-step explanation:
it would be 3880
Step-by-step explanation:
Change
9 2/5
into an improper fraction
Answer:
below
Step-by-step explanation:
9 2/5 = [(9*5)+2]/5=(45+2)/5=47/5
When a jug is half-filled with marbles it weighs 2.6 kg. The jug weighs 4 kg when it is full. Find the weight of the empty jug.
Answer:
The jug weights empty 1.2 kg.
Angela baked cookies. She gave 1/3 of them to her sister, and she put 5/8 of the remaining cookies in the freezer. If she had 1 dozen cookies left, how many cookies did she bake?
Answer:
We find the fraction of a number by doing two steps: first, multiply the whole number by the numerator, and then divide the product we get by the denominator.
multiplying fraction by a number
Let's solve real-world problems about fractions of a number.
Word Problem Examples
cookies
Jane baked 24 chocolate chip cookies. She gave 1/3 of the cookies to her neighbor. How many cookies did she give to her neighbor?
What is the problem asking us to do?
That's right!
We need to figure out what 1/3 of 24 is.
1/3 of 24 is the same as this:
24 × 1/3 = ?
First, multiply 24 by the numerator:
24 × 1 = 24
Then, divide the product we got by the denominator:
24 ÷ 3 = 8
✅ Now we know that she gave 8 cookies to her neighbor.
Here are more questions about this problem:
Of the cookies that were left, Jane gave 3/4 to her parents, and she ate the rest. How many cookies did she give to her parents? How many cookies did she eat?
The problem tells us to figure out two things:
- the number of cookies that Jane gave to her parents,
- the number of cookies that Jane ate.
But first, we have to find out how many cookies were left, after Jane gave some away to her neighbor.
She started with 24 cookies and gave 8 cookies away.
Let's subtract:
24 - 8 = 16 cookies
So, Jane had 16 cookies left.
How many cookies did Jane's parents get if she gave them 3/4 of 16?
3/4 of 16 is the same as this:
16 × 3/4 = ?
First, multiply 16 by the numerator:
16 × 3 = 48
Then, divide the product we got by the denominator:
48 ÷ 4 = 12
✅ Jane gave 12 cookies to her parents.
Now, let's find out how many cookies Jane ate.
We know that Jane ate all the cookies that were left.
She had 16 cookies. Then, she gave 12 to her parents.
How many are left?
We need to subtract to figure this out:
16 - 12 = 4
✅ Jane ate 4 cookie
She baked 48 cookies in total as obtained by forming a numerical expression of the statement.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given that, Angela baked x cookies.
She gave 1/3 of them to her sister, and she put 5/8 of 5/8th of the remaining cookies in the freezer.
∴ x - (1/3)x - (2/3)×(5/8)x = 12.
x - (1/3)x - (5/12)x = 12.
(2/3)x - (5/12)x = 12.
(8x - 5x)/12 = 12.
3x = 144.
x = 48
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ2
Quick Please!
Write and solve an equation to find the number.
Five times the sum of a number(x) and 4 is –15.
Answer:
x = -7
Step-by-step explanation:
5 (x+4) = -15
Expand.
5x +20 = -15
Isolate the x.
5x = -15-20
Simplify.
5x = -35
Find x.
x = -35 ÷ 5
x = -7
Answer:
5(x+4)=-15
5x+20=-15
5x=-15-20
5x=-35
x=-7
Write an equation of the line that passes through the given point and has the given slope. (1,-5); slope: - 2/3 SLOPE INTERCEPT FORM
Answer:
y = [tex]-\frac{2}{3}[/tex] x - [tex]-\frac{13}{3}[/tex]
Step-by-step explanation:
Given dimensions:
Slope = [tex]-\frac{2}{3}[/tex]
Coordinates = (1, -5)
Now;
Equation of the line through the given points;
Solution:
The equation of a line is given as;
y = mx + c
x and y are the coordinates
m is the slope
c is the intercept
So;
let us find the y-intercept;
-5 = [tex]-\frac{2}{3}[/tex] x 1 + C
c = -5 + [tex]\frac{2}{3}[/tex] = [tex]-\frac{13}{3}[/tex]
The equation of the line is ;
y = [tex]-\frac{2}{3}[/tex] x - [tex]-\frac{13}{3}[/tex]
Brian invests £1500 into his bank account. He receives 0.2% per year simple interest. How much will Brian have after 6 years? Give your answer to the nearest penny where appropriate
Answer:
18
Step-by-step explanation:
£1500x6×0.2%=18
you multiple the amount and the year first and multiple the percentage and the answer will be 18
Which sentence best describes the function shown above ?
Answer:
A the function is even because of how similar the angles are.
I WILL GIVE BRAINLIEST!!!!
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
(1) One side of a Rhombus measures 13 cm what is its perimeter
(2) The diagonals of a rhombus measues 6 cm and 8 cm,what is the perimeter of this rhombus
(3) MULTIPLE CHOICE: A Rhombus is labeled ABCD ,which line segment could be a diagonal: a) AB b) BC c) AC d) CD
(4) A square is both a rhombus and a rectangle TRUE or FALSE
(5) A Rhombus is labeled ABCD if the slope of AD is 2/3 what is the slope of BC
(6) A Rhombus is labeled ABCD if the slope of AC is 1/2 what is the slope of BD
Answer:
I want to get point
Step-by-step explanation:
can you help
4 rolls of paper towels for $5.00. how much is the cost per roll ?
Answer:
$1.25
Step-by-step explanation:
cuz 5 divided by 4 is 1.25
douple check - 1.25 times4 is 5!
Answer:
1.25
Step-by-step explanation:
If we divide the amount it costs for 4 rolls (5), by the amount of rolls bought (4), we get 1.25, which is the correct!
Don't do 4 divided by 5, or you would be saying 5 rolls bought for 4 bucks!
Find the GCF of the pair of numbers.
7 and 27
Answer:
The gcf would be 1 because 7 is a prime number and the only other number that can go into 7 is 7.
Step-by-step explanation:
A bakery produced two batches of bread with 80 loves in each batch. It sold 30 loves each hour. How many loves of bread were sold in 4 hours? How many loves of bread were left to sale
Answer:
-120 loves of bread were sold in 4 hours.
-40 loves of bread wereleft to sale.
Step-by-step explanation:
To determine the amount of loves of bead that were sold in 4 hours, you have to mutiply the amount of loves sold each hour for 4:
30*4=120
This means that 120 loves of bread were sold in 4 hours.
Now, to determine the amount of loves of bread left to sale, you have to find the amount of loves produced on the two batches of bread by multiplying the amount produce in each batch for 2:
80*2=160
Finally, you have to subtract the amount of loves sold in 4 hours from the amount produced in two batches:
160-120=40
According to this, 40 loves of bread were left to sale.
solve the system of equations below by graphing both equations with a pencil and paper, what is the solution? y= -x-1 y=x+3
Answer:
(-2, 1)
Step-by-step explanation:
Well, to actually graph it, for the first line you'd have one point at (0, -1) [0 right, 1 down] , then you go down one, right one, and place a point there, down another, right another, and repeat.
For the second you'd place a point on (0, 3) [0 right, 3 up] and then go one up, one right, and place a point. One up, one right and place a point and repeat that. the point where the two lines cross would be your answer. If you don't want to do that then the answer is (-2, 1) I believe.
Plssss helpppp!!! I’ll give brainliest
One half the sum of a number and five is eleven.
Answer:
½÷n+5=11
or
0.5÷n+5=11
−4p − (1 − 6 p)
Please explain. I will give brainliest. I honestly don't understand how to do this.
Answer:
2p − 1
Step-by-step explanation:
I think, sry is its wrong. Do you have possible answrs?
-4p - (1 - 6p) = -4p - 1 + 6p = -4p + 6p - 1 = 2p - 1
Which of the following numbers is not a factor of 2004?
/4
/6
/8
/12
Answer:
8
Step-by-step explanation:
Which inequality represents the sentence below?
Two more than a number is less than 14.
2+13 14
2+1 <14
2+12 14
2+77 > 14
Answer:I would think the inequality would look like 2+x<14
Answer:
2 + n < 14
Step-by-step explanation:
Find the area of each figure.
Answer:
1).6cm squared
2). 36 cm squared
3).787.5
(im not sure 3 is correct)
Step-by-step explanation:
There are 3 grams of sodium in 1⁄2 of a liter of soda. How much sodium is in 2⁄3 of a liter of soda?
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Since 3 is 1/2 of the bottle, the whole bottle is 6. Then, 2/3 of 6 is 4!
So everything goes to...... drazoavans1 because he/she helped me with mostly all of the questions. CONGRATS!!!
Answer:
YAY thx I appreciate it
Step-by-step explanation:
The scale drawing of a building has a width of 3 inches and a height of 5 inches. If the width of the actual building is 36 feet, what is the height?
Answer:
The actual height is 720 feet.
Step-by-step explanation:
36 × 12 = 432
432 ÷ 3 = 144
144 × 5 = 720
WILL GIVE BRAINLIEST!!!
1728 students were asked to name their favorite color. The results are shown in this circle graph. How many students gave green as their favorite?
Green: 27.78%
Answer:
480
Step-by-step explanation: I just took the test, you can search up “what’s 27.78% of 1728” if you don’t trust me :)
good night to everyone on brainly :)
Answer:
good night :))))))))))))
Answer:
umm this question is from a wile ago hehe but anyways i got points hehehe
Step-by-step explanation:
Is 700% of 5 less than 10, greater than 10 but less than 100, or greater than 100? Explain your reasoning.
Answer:
Greater than 10 but less than 100Step-by-step explanation:
700% of 5 = 35
35 is greater than 10
but less than 100
Hope this helps! <3