Answer:
The sample mean would most likely be 50 centimeters.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
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]
In this question:
The mean of the population is 50 centimers.
So, by the Central Limit Theorem, the sample mean would most likely be also 50 centimeters.
The perimeter of rectangular garden is 94 m. The length is 13 m more than the width. Find the length and the width.
Answer:
length: 60 width: 34
Step-by-step explanation:
Mr. Johnson buys 50 pencils and gives 30 of them to his students.
Which percent of the pencils did he give to his students?
Answer:
3/5
Step-by-step explanation:
Mental math:)))))))
answer:
whole: 50
part: 30
30/50 = 0.6 --> 60%
final answer: 60%
-- request: please mark brainiest, and click the thanks button if correct <3
What created the Vancouver Island?
O earthquake
O volcanoes
O fault
O ocean
Answer:
Volcano
Step-by-step explanation:
Answer:
volcanoes
Step-by-step explanation:
Vancouver island was formed around 150 million years ago when volcanic activity pushed sedimentary rock upwards from the sea floor to from the island landscape. /hope this helps/
What is the value of the expression when a = –5 and c = –1? Enter your answer in the box.
Answer:
-5a+-1c
Step-by-step explanation:
The value of Expression: 8a+ 16c is -56.
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Given:
Expression: 8a+ 16c
We have the value a= -5 and c=-1
So, putting the values in the given expression as
8a+ 16c
= 8(-5)+ 16(-1)
= -40 - 16
= -56
Hence, the value is -56.
Learn more about Expression here:
https://brainly.com/question/14083225
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helppppp The average monthly high temperatures for Boise, Idaho, are shown in the chart. Find the first quartile of the data.
7z + 2 = 26
In this equation, what is the variable?
Answer:
Z is the variable
Step-by-step explanation:
HELPPPPPPPPPPPPP
A total of 18 guests attended a birthday party. Seven friends stayed after the party to help
dean up. How many left when the party ended?
Part 1 out of 3
To solve this problem, let x represent the
A. total number of guests plus the number who stayed to help clean up.
B. number of guests who left when the party ended.
C. total number of guests
D. number of friends who stayed to help clean up.
Answer:
Step-by-step explanation:
B
Given the functions: f(x) = x^3, g(x) = x - 7, h(x) = x + 2, which composition of functions would
give you the new function n(x) = (x + 2)^3– 7?
A. n(x) = f(g(h(x)))
B. n(x) = g(f(h(x)))
C. n(x) = g(h(f(x)))
D. n(x) = h(f(g(x)))
E. n(x) = f(h(g(x)))
please help a girl is struggling❤️
Answer:
n(x) = g(f(h(x)))
Step-by-step explanation:
Given
[tex]f(x) = x^3[/tex]
[tex]g(x) = x-7[/tex]
[tex]h(x) = x + 2[/tex]
Required
Which function represents [tex]n(x) = (x + 2)^3 - 7[/tex]
Start by solving for f(h(x)):
Given that:
[tex]f(x) = x^3[/tex] and [tex]h(x) = x + 2[/tex]
Substitute x + 2 for the x in f(x)
[tex]f(h(x)) = (x + 2)^3[/tex]
Next, solve for g(f(h(x)))
Given that:
[tex]g(x) = x-7[/tex] and [tex]f(h(x)) = (x + 2)^3[/tex]
Substitute (x + 2)^3 for the x in g(x)
[tex]g(f(h(x))) = (x + 2)^3 - 7[/tex]
Recall that:
[tex]n(x) = (x + 2)^3 - 7[/tex]
Hence:
[tex]n(x) = g(f(h(x))) = (x + 2)^3 - 7[/tex]
A patient has an illness that typically lasts about 24 hours. The temperature, T, in degrees Fahrenheit, of the patient t hours after the illness begins is given by:T(t) = -0.02t^2 +0.4968 +98.
a. When does the patient's temperature reach its maximum value
b. What is the patient's maximum temperature during illness
Step-by-step explanation:
Given that,
The temperature, T, in degrees Fahrenheit, of the patient t hours after the illness begins is given by:
[tex]T(t)=-0.02t^2 +0.4968 t+98[/tex] ...(1)
(a) We need to find when does the patient's temperature reach its maximum value.
For maximum value.
Put dT(t)/dt = 0
[tex]\dfrac{d(T(t)}{dt}=\dfrac{d}{dt}(-0.02t^2 +0.4968t +98)\\\\=-0.04t+0.4968\\\\-0.04t+0.4968=0\\\\t=12.42\ h[/tex]
(b) Put t = 12.42 in equation (1) :
[tex]T(12.42)=-0.02(12.42)^2 +0.4968 (12.42)+98\\\\=101.08^{\circ} F[/tex]
Hence, this is the required solution.
You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey? Assume that you want to be 95% confident that the sample percentage is within 4.2 percentage points of the true population percentage.
Answer:
545 randomly selected air passengers must be surveyed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Assume that you want to be 95% confident that the sample percentage is within 4.2 percentage points of the true population percentage.
We dont know the true proportion, so we use [tex]\pi = 0.5[/tex], which is when the largest sample size will be needed. We have to find n for which [tex]M = 0.042[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.042 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.042\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.042}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.042})^2[/tex]
[tex]n = 544.4[/tex]
Rouding up
545 randomly selected air passengers must be surveyed.
The table represents the height of a ball thrown up from the roof of a building, h(t), in meters, t seconds after it is thrown upward.
A 2-column table with 7 rows. The first column is labeled t with entries 0, 2, 4, 6, 8, 10, 12. The second column is labeled h(t) with entries 0, 60.4, 81.6, 63.6, 6.4, negative 90, negative 225.6.
Which statements are true? Check all that apply.
The ball is at the same height as the building between 8 and 10 seconds after it is thrown.
The height of the ball decreases and then increases.
The ball reaches its maximum height about 4 seconds after it is thrown
The ball hits the ground between 8 and 10 seconds after it is thrown.
The height of the building is 81.6 meters.
Answer:
A and C
Step-by-step explanation:
on Edge
What is the difference When the product of 1/3 and 2/3 is subtracted from the sum of 1/3 and 2/3
A truck like the one shown delivers a load of gasoline to a gas station 3 times a week. The storage tank at the gas station holds 9 loads of fuel. How much more gas does the storage tank hold than the truck.
The truck hauls 2,700 gallons.
Answer:
21,600 gallons
Step-by-step explanation:
The truck hauls 2,700 gallons.
Given :
A truck load of gasoline = 2700 gallons
Capacity of storage tank = 9 loads
Gallons of fuel which storage tank can take :
9 loads
1 load = 2700 gallons
9 * 2700 gallons
= 24300 gallons
Hence, the storage tank holds (9 - 1) = 8 more loads of gasoline than the truck :
24300 gallons - 2700 gallons = 21600 gallons
Idendify the slope and y-intercept from the equation below.
(Hint: rewrite the equation in slope-intercept form first.)
10x - y = 5
m =
y =
Answer:
m=10 y=5 / (0, 5)
Step-by-step explanation:
Slope-int form: y=mx+b
So;
10x-y=5
+10x +10x
y = 10 x + 5
Sergi says that 10% of a number will always be less than 20% of any other number. Complete one inequality to support Sergi’s claim and one to show that he is incorrect
Answer:
x × 0.1 < y × 0.2
x = 100, y = 10
Step-by-step explanation:
10% of a really large number can be bigger than 20% of a small number. 10% of 100 is 10. 20% of 10 is 2. 10 is bigger than 2 so Sergi's claim is false.
Simplify
4a + 5b – 3b + a
Please help I’m begging you!!! No false answer if you have a question don’t put as an answer please
Answer:
Step-by-step explanation:
11. 7 × 8 = 8 × 7 [commutative property]
12. 5 × 0 = 0 × 5 [commutative property]
13. 5 × (0 + 8) = (5 × 0) + (5 × 8) [[distributive property]
14. (7 × 1) + (7 × 9) = 7(1 + 9) [distributive property]
15. 6 × 1 = 6 [Identity property of multiplication]
16. 9 × (10 × 1) = (9 × 10) × 1 [[commutative property]
17. 1 × 10 = 10 [Identity property]
18. 7 × 1 = 7 [Identity property]
19. 4 × 8 = 8 × 4 [commutative property]
20. 4 × (1 × 2) = (4 × 1) × 2 [commutative property]
The pollen scale has four levels of severity: low, moderate, high, and extremely high. Atlanta, GA had 0 low days, 4 moderate days, 12 high days, and 6 extremely high days. What was the median pollen
severity in Atlanta? What was the mode? What was the range?
Answer:
12 is the mode and the range is 4 the median pollen 6
Which of the following speeds will produce lowest miles per gallon?
A. 35 mph
B. 105 mph
c. 45 mph
D. 55 mph
SUBMIT
Answer: B. 105 mph
Step-by-step explanation:
Answer:
trust me (D) is the correct answer can you mark b please thank you
Step-by-step explanation:
I hope it help you lot see you around
2. There are 18 girls and 21 boys in a classroom. Write the ratio of girls to boys
help
Answer:
6:7
Step-by-step explanation:
both values can be divided by 3
A car was driving for 4 hours and covered 224 miles. A high-speed train is ten times as fast as this car. Find the train's speed.
Answer:
The speed of the train is 560 MPH.
Step-by-step explanation:
The car's speed can be detemined by Distance / Time. This would mean we would have to do 224 / 4, which would equal 56.
Now, all we have to do is mulitply 56 by 10. This would equal 560.
Linda made a scale drawing of her classroom for her math project. She used a scale of 1 cm = 2.5 ft. If the length of her classroom on the drawing measured 20 cm, what is the actual length of her classroom?
Answer:
737
Step-by-step expllol
Solve the inequality. -3.5 3.5 ≤ 7x
Answer:Hopefully this can help
Step-by-step explanation:
find the number of words with or without meaning that can be formed with the letters of the word 'NIGERIA'
X^3-6x^2-7x+60=0 i need help
Answer:
x= -3, 4 or 5
Step-by-step explanation:
if you factor out the expressions, they look like this:
(x+3)(x-4)(x-5) = 0
PLZZ I NEED HELP if ur good at math help meeee. I NEED HELP
MATH
please help me with this question? i don’t understand it
whats(the difference of 2 times d minus 3)?
Answer:
[tex]2d - 3 \: [/tex]
hope it helps⁽⁽ଘ( ˊᵕˋ )ଓ⁾⁾
Answer:
the answer is -2d -3
Step-by-step explanation:
I hope my answer is correct
Goal is to make $100. What % of the goal was met if raised $350?
______________________________
A = m ÷ t × 100= $100 ÷ $350 × 100= 28.6%THE GOAL WAS SURPASSED BY 28.6%______________________________
Identify them as complementary supplementary vertical or adjacent
