Answer:
The standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90 is of 0.0405
Step-by-step explanation:
Central Limit Theorem:
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
18 percent are longer than 6.5 feet.
This means that [tex]p = 0.18[/tex]
A random sample of 90 sea turtles
This means that [tex]n = 90[/tex]
What is the standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.18*0.82}{90}} = 0.0405[/tex]
The standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90 is of 0.0405
In this exercise we have to use the knowledge of proportionality to calculate the samples, so we have to:
The standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90 is of 0.00164
Using the knowledge about central limit theorem, we will have what the proportion will be;
For a balance between parts of whole p fashionable a sample of extent or bulk of some dimension n, the sampling allocation of the sample relative amount will exist nearly usual with mean and predictable difference, so we have that:
[tex]S=\sqrt{\frac{p(1-p)}{n} }\\p=0.18\\n=90\\S=\sqrt{\frac{0.18(1-0.18)}{90} }=0.00164[/tex]
See more about proportion at brainly.com/question/2548537
A plant is already 51 centimeters tall, and it will grow one centimeter every month. Let H be the plant's height (in centimeters) after M months. Write an equation relating H to M . Then use this equation to find the plant's height after 12 months
i) H = M + 52
ii) H = 25 + 52 = 77 cm
Find CD? Plssss help
Answer:
CD = 10
Step-by-step explanation:
Answer:
CD=10 is the answer to your question
Starting at 6 a.m. every morning, Matilda receives text messages on her cell phone from her mother, her best friend, and her brother according to three independent Poisson processes. Her mother texts Matilda on average once every hour. Her best friend sends a message once every 10 minutes, and she receives messages from her brother every 30 minutes.
A) Find the probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.
B) With a chance of 75% a text message contains a typo independent of the sender. Find the probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.
Answer:
a) 0.0013 = 0.13% probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.
b) [tex]1.6 \times 10^{-9}[/tex] probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.
Step-by-step explanation:
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
A) Find the probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.
Two from the best friend:
Her best friend sends a message once every 10 minutes.
From 6 to 7:30, there is an hour and a half, that is, 90 minutes, so the mean for her best friend is [tex]\mu = \frac{90}{10} = 9[/tex]
Two messages is P(X = 2). So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 2) = \frac{e^{-9}*9^{2}}{(2)!} = 0.0050[/tex]
Two from the mother:
Message every hour = 60 minutes. So [tex]\mu = \frac{90}{60} = 1.5[/tex]. This is P(X = 2).
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 2) = \frac{e^{-1.5}*1.5^{2}}{(2)!} = 0.2510[/tex]
Two of her best friend and two of her mother:
Independent events, so the probability of both happening is the multiplication of their separate probabilities.
[tex]p = 0.005*0.251 = 0.0013[/tex]
0.0013 = 0.13% probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.
B) With a chance of 75% a text message contains a typo independent of the sender. Find the probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.
In 3 hours, she is expected to receive:
3*60/10 = 18 messages from her best friend.
3*60/60 = 3 messages from her mother.
3*60/30 = 6 messages from her brother.
In total, 27 messages.
75% probability of a typo, so [tex]\mu = 0.75*27 = 20.25[/tex]
This is P(X = 0).
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-20.25}*20.25^{0}}{(0)!} = 1.6 \times 10^{-9}[/tex]
[tex]1.6 \times 10^{-9}[/tex] probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.
Using SOLVE, determine the number of marbles that are in a large cylindrical flask as depicted in the handout from Lesson 1. Solve by hand (or electronically) and clearly outline your individual steps. (Sketch, Organized Variables, List Egns, Vary eqns, Evaluate). Embed a photo of your work below. Click the linke, for instructions to embed. Use the following variables for your evaluate step and stay in Sl units. Diameter of Marble - 13 mm Diameter of Flask - 25 cm Height of Flask (to level of marbles) - 40 cm FYI: 10 mm -1 cm
Given :
Diameter of the flask = 25 cm
radius, r = [tex]$\frac{25}{2}$[/tex] cm
Height of the flask, h = 40 cm
We have to find out the volume of the cylinder flask
Volume [tex]$= \pi r^2h$[/tex]
[tex]$= 3.14 \times (\frac{25}{2})^2 \times 40$[/tex]
= [tex]$19634.95 \ cm^3$[/tex]
= [tex]$19635 \ cm^3$[/tex]
Now calculate the volume of the marble
Given :
Diameter = 13 mm
radius, R [tex]$=\frac{13}{2} \ mm$[/tex]
Therefore, volume of the marble [tex]$=\frac{4}{3}\pi R^3$[/tex]
[tex]$=\frac{4}{3}\times 3.14 \times (\frac{13}{2})^3$[/tex]
[tex]$= 1150.35 \ mm^3$[/tex]
or [tex]$= 115.035 \ cm^3$[/tex]
Therefore, the number of the marbles [tex]$=\frac{\text{volume of flask}}{\text{volume of marble}}$[/tex]
[tex]$=\frac{19635}{115.035}$[/tex]
= 170.68
Therefore, the number of the marbles used is approximately 170.
Find the measure of < FEG
Coterminal angle between 0 degrees and 360 degrees if coterminal angle is -450
Using equivalent angles, it is found that the coterminal angle is of 270º.
Equivalent Angles:In the trigonometric circle, ranging from 0 to 360º, each angle has an equivalent on the each quadrant.A negative angle is given by the trigonometric circle in clock-wise rotation, hence, to convert to positive, we keep adding 360º.In this problem:
The angle is of -450º.-450 + 360 = -90º, which means that the original angle gave more than one lap of the circle.Adding again, -90 + 360 = 270º, which is the coterminal angle.You can learn more about equivalent angles are https://brainly.com/question/21737963
help 16 points Select all of the true statements.
A.
All rhombuses are squares.
B.
All rectangles are parallelograms.
C.
All quadrilaterals are trapezoids.
D.
All squares are parallelograms.
E.
All trapezoids are parallelograms.
Answer:
a and b I think
Step-by-step explanation:
I'm not sure if that is right i haven't learned that in a while
2/6 blue socks 2/6 green socks and the rest are white socks what would the answer be
Answer:
I think ita would be 2/6 as well
Step-by-step explanation:
simplify it down to 1/3 and the blue take up one third and so does the green socks
Answer:
2/6 socks are white.
Step-by-step explanation:
The denominator (6) is the amount of socks you have.
If 2/6 are blue and 2/6 are green. 4/6 are Blue & Green.
To find the remaining amount of socks you would simply subtract 6/6 by 4/6
That would leave you with 2/6 of the socks being WHITE.
Hope this helps you!! <3
A bakery sold 73 bagels in the first hour of business. If the bakery had 246 bagels to start with, how many bagels were left after the first hour?
Answer:
173
Step-by-step explanation:
Answer: 173 bagels are left after the first hour.
Step-by-step explanation: if they had 246 bagels to start with, and they sold 73 in the first hour. 246-73=173.
PLEASE I NEED HELP SOMEBODY!
What is the decimal value of ⅖. Use factors of 2 and 5 to convert fraction into decimal. :
What is the decimal value of 5/25. Use Equivalent Fractions to convert fraction into decimal. :
Answer:
0.4 and 0.2.
Step-by-step explanation:
For the first problem, you divide 5 by 2.
[tex]\frac{2}{5} = 0.4.[/tex]
This gives you 0.4
For the second problem, we simplify the fraction, first.
[tex]\frac{5}{25} = \frac{1}{5} .[/tex]
Then, we divide 1 by 5.
[tex]\frac{1}{5} = 0.2.[/tex]
This gives you 0.2.
if someone could explain to me how to do this
f(x) = -x - 4
g(x) = 2x^2 + 4x + 11
Find: (f*g)(x)
Answer:
f(x)*g(x) = [tex]-2x^{3} - 12x^{2} - 27x - 44[/tex]
Step-by-step explanation:
I am assuming that * means multiplication
(f*g)(x) = f(x)*g(x)
So, f(x)*g(x) = (-x-4)([tex]2x^{2} + 4x + 11[/tex]) = [tex]-2x^{3} - 4x^{2} - 11x - 8x^{2} - 16x - 44[/tex]
= [tex]-2x^{3} - 12x^{2} - 27x - 44[/tex]
I WILL MARK BRAINLIEST
The_______ allowed farmers to plow fields using horses.
(heavy plow/horse collar)
Answer:
the answer will be hores collar
Step-by-step explanation:
thank you
Answer:
Horse Collar
Step-by-step explanation: I got it correct :D sorry im a bit late, that being said, this is for people who want an answer
HELPP
Which of the following best represents the equation of the line shown on the
graph below?
Answer:
free d ddddddd
yes fast
????
$25000 at 4.25% for 2 year
Answer:
Step-by-step
Monthly Payment $1,088.41
Total Interest Paid $1,121.77
Total Paid $26,121.77
Mark brainliest if this answer is correct please
Find the difference
Answer:1.)-21. 2.)33. 3.)12. 4.)6. 5.)24
Step-by-step explanation:
avocado
Pneumonoultramicroscopicsilicovolcanoconiosis
Answer:
Yes Avocado :>
Step-by-step explanation:
i luv em avocados
1.
a.
- 12.5-(-12)
Noah said the value of this expression is -0.5. Is he correct? Explain or show your reasoning to prove
your answer.
Answer:
Yes he is correct!!!!!!
2) In a random survey of 500 women, 315 said they would rather be poor and thin than rich and fat; in a random survey of 400 men, 220 said they would rather be poor and thin than rich and fat. Is there sufficient evidence to show that the proportion of women who would rather be poor and thin than rich and fat is greater than the proportion of men who would rather be poor and thin than rich and fat
Answer:
Since the calculated value of Z= 0.242887 is less than Z (0.05) = 1.645 and falls in the critical region we reject the null hypothesis and conclude that there is not sufficient evidence to show that the proportion of women who would rather be poor and thin than rich and fat is greater than the proportion of men who would rather be poor and thin than rich and fat.
Step-by-step explanation:
Here
p1= proportion of women who would rather be poor and thin than rich and fat
p1= 315/500= 0.63
p2= proportion of men who would rather be poor and thin than rich and fat
p2= 220/400= 0.55
1) Formulate the hypothesis as
H0: p1>p2 against the claim Ha: p1 ≤ p2
2) Choose the significance level ∝0.05
3) The test Statistic under H0 , is
Z= p1^ - p2^ / sqrt( pc^qc^( 1/n1 + 1/n2))
pc^= an estimate of the common proportion
pc ^ = n1p1^ + n2p2^/ n1+n2
4) The critical region is Z≤ Z (0.05) = 1.645
5) Calculations
pc^ = 315+ 220/ 500+400= 535/900
pc^= 0.5944
and qc^= 1-0.5944= 0.4055
Thus
Z = 0.63-0.55/ sqrt ( 0.5944*0.4055( 1/500+ 1/400))
Z= 0.08/ sqrt (0.24108 (900/2000))
Z= 0.08/√0.10849
Z= 0.242887
Conclusion :
Since the calculated value of Z= 0.242887 is less than Z (0.05) = 1.645 and falls in the critical region we reject the null hypothesis and conclude that there is not sufficient evidence to show that the proportion of women who would rather be poor and thin than rich and fat is greater than the proportion of men who would rather be poor and thin than rich and fat.
If it took 30 minutes to give out 75 diplomas
last year, how long will it take to give
diplomas to the 90 graduates this year?
Hi king/quee/royalty. I have the answer: x=36
44 = t - 10; 52, 53, 54
Bagel Boys delivers bagels for a $6
delivery fee plus $2.50 per bagel. An
engineering firm has $100. What is the
maximum number of bagels the firm
can purchase?
A. 37 bagels B. 38 bagels
C. 39 bagels D. 40 bagels
Answer:
A.37 BAGELS
Step-by-step explanation:
100-6
94/2.50
37.6 round down
37 bagels
the mean age of 5 people ina room is 32 years. A person enters the room.The mean age is now 34.What is the age of the person who entered the room?
Answer:
32
Step-by-step explanation:
What is $6 divided by $0.15 . In steps please
Answer:
40
Step-by-step explanation:
6/0.15 = 40
A call center requires every employee to make 280 calls each week. Employees work 5 days a week.
How many calls should an employee make each day to meet the requirement if they make the same number of calls each day?
40
56
60
1,400
1,500
Solve the system of equations by the substitution method.
x = 3y -4
5x - 2y = 19
Answer:
g
Step-by-step explanation:
As a fraction in simplest terms, what would you multiply the first number by to get the second?
PLEASE HELP ME :(
I will give brainliest plus 40 points!
Answer:
28/x=34
28/34=x
x=0.825is the required answet
Answer:
x = 17/14
Step-by-step explanation:
28 * x = 34
x * 28 = 34
Let's divide by 28 on both sides:
x = 34/28
Let's simplify by dividing both 34 and 28:
x = 17/14
17 is a prime number, so we can't simplify any further.
x = 17/14
Calculate the length of the diagonal AB
Answer:
AB = [tex]5\sqrt{3}[/tex] cm
Step-by-step explanation:
The diagonal of the bottom square is the hypotenuse of two right triangles with legs 5 and 5
So, the length of that diagonal, say x, of a 45-45-90 triangle where x is the hypotenuse is x = [tex]5\sqrt{2}[/tex]
Now that diagonal is a leg of the right triangle where AB is the hypotenuse and 5 is the length of the other leg.
So, [tex]x^{2} + 5^{2} = AB^{2}[/tex] = [tex](5\sqrt{2} )^{2}[/tex] + 25
= 50 + 25
= 75
Therefore AB = [tex]\sqrt{75}[/tex] = [tex]5\sqrt{3}[/tex]
Why is it important that we tell Native American stories?
Answer:
Utilizing storytelling to transmit educational messages is a traditional pedagogical method practiced by many American Indian tribes. American Indian stories are effective because they present essential ideas and values in a simple, entertaining form. Different story characters show positive and negative behaviors.
Step-by-step explanation:
PLEASE SOMEONE HELP ME WITH THIS PROBLEM
Answer:
1.28
2. -3.5
3.-10.5
Step-by-step explanation:
1.-0.0035 · 12000+70= 28
2. -0.0035 ·21000+70=-3.5
3. -0.0035 ·23000+70=-10.5
I hope this helps