Using the Central Limit Theorem, the statement is false, as for the averages of the data values for a sample group, the standard error is [tex]s = \frac{\sigma}{\sqrt{n}}[/tex], hence, the formula is:
[tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
While for a single value, it is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].Hence, the formulas are different, and for an average of the data values for a sample group it is:
[tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
A similar problem is given at https://brainly.com/question/24663213
what will the base b be in log 1000 = 3 make this true
Step-by-step explanation:
the base b will be 10.
because if base is not provided it means 10.
therefore if you write it in exponential form the answer comes out to be 10³=1000. therefore, 10.
hope this helps you.
(PHOTO) Please help me need this done by tomorrow thank you.
Answer:
x = 13
Step-by-step explanation:
Corresponding angles equal one another.
[tex]8x-20=4x+32\\4x-20=32\\4x=52\\x=13[/tex]
PLEASEE HELPP I WILL GIVE BRAINLIEST
Answer:
p=0.4
Step-by-step explanation:
6(p+2.25)=15.9
6p+13.5=15.9
6p=2.4
p=0.4
ADD the given the polynomials: (x + 2) + (8x + 4)
CHOOSE THE RIGHT ANSWER:
A] 9x + 6
B] 8x + 6
C] 7x + 6
D] 9x + 8
NEED SOLUTION PLS!
Answer:
the answer is 9x + 6 ......
Answer:
[tex] = > (x + 2) + (8x + 4)[/tex]
[tex] = > x + 2 + 8x + 4[/tex]
[tex] = > x + 8x + 2 + 4[/tex]
[tex] = > 9x + 6[/tex]
e^(i.π)+2^(-2+3-1)+21899921030
Answer:
21899921030
Step-by-step explanation:
e^(i.π) = -1
2^(-2+3-1) = 2^0 = 1
Therefor
-1 + 1 + 21899921030 = 21899921030
Radium-221 has a half-life of s. How long will it take for of a sample to decay?
Answer:
The answer is 82.109 sec.
Step-by-step explanation:
which inequality is true when the value of H is -14 I'ma post a picture
Answer:
h + 10 > - 9.5 is the correct answer
Help help hep helphelp help
Answer:
32 qt = 8 gal
Step-by-step explanation:
1 qt x 32 = 1/4 gal x 32
32 qt = 32/4 gal
32 qt = 8 gal
Assume that the finishing times in a New York City 10-kilometer road race are normally distributed with a mean of 55 minutes and a standard deviation of 10 minutes. Let X be a randomly selected finishing time.
a. What percent of finish times was higher than 72 minutes? (Give your answers rounded to two decimal places)
b. What percent of finish times was between 52 and 70 minutes? (Give your answers rounded to two decimal places)
c. What is the 40th percentile finish time? (Round your answer to nearest tenth)
d. What is the 95th percentile finish time? (Round your answer to nearest tenth)
Using the normal distribution, it is found that:
a) 4.46% of finish times was higher than 72 minutes.
b) 55.11% of finish times was between 52 and 70 minutes.
c) The 40th percentile of finish times is 52.5 minutes.
d) The 95th percentile of finish times is 71.45 minutes.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 55 minutes, hence [tex]\mu = 55[/tex].The standard deviation is of 10 minutes, hence [tex]\sigma = 10[/tex]Item a:
The proportion is 1 subtracted by the p-value of Z when X = 72, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{72 - 55}{10}[/tex]
[tex]Z = 1.7[/tex]
[tex]Z = 1.7[/tex] has a p-value of 0.9554
1 - 0.9554 = 0.0446
0.0446 x 100% = 4.46%
4.46% of finish times was higher than 72 minutes.
Item b:
Th proportion is the p-value of Z when X = 70 subtracted by the p-value of Z when X = 52, hence:
X = 70:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{70 - 55}{10}[/tex]
[tex]Z = 1.5[/tex]
[tex]Z = 1.5[/tex] has a p-value of 0.9332.
X = 52:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{52 - 55}{10}[/tex]
[tex]Z = -0.3[/tex]
[tex]Z = -0.3[/tex] has a p-value of 0.3821.
0.9332 - 0.3821 = 0.5511
0.5511 x 100% = 55.11%
55.11% of finish times was between 52 and 70 minutes.
Item c:
The 40th percentile is X when Z has a p-value of 0.4, so X when Z = -0.253.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.253 = \frac{X - 55}{10}[/tex]
[tex]X - 55 = -0.253(10)[/tex]
[tex]X = 52.5[/tex]
The 40th percentile of finish times is 52.5 minutes.
Item d:
The 95th percentile is X when Z has a p-value of 0.95, so X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 55}{10}[/tex]
[tex]X - 55 = 1.645(10)[/tex]
[tex]X = 71.45[/tex]
The 95th percentile of finish times is 71.45 minutes.
A similar problem is given at https://brainly.com/question/24663213
A. What is the formula for exponential growth?
B. What does each variable mean?
Please someone help!!! It’s for my final pleaseee!!!
Answer:
A. exponential growth or decay function is a function that grows or shrinks at a constant percent growth rate. The equation can be written in the form f(x) = a(1 + r)x or f(x) = abx where b = 1 + r. ... r is the percent growth or decay rate, written as a decimal, b is the growth factor or growth multiplier.
Roger’s office building has a $320,000 value, a 2 rating, and a B building classification. The contents in the building are valued at $105,000. Calculate his total annual premium.
Answer:
2,230
Step-by-step explanation:
A car traveled 81.6 mi in 1.6 hours.
Rate is found by dividing distance by time.
What is the rate in miles per hour?
Answer:
51
Step-by-step explanation:
81.6/1.6
Hope this helps. :)
Consider 2 1/2 divided by 1/4 write a real world problem for the division.Create a model or write an equation for the division.Find the quotient for the real world problem.Find the quotient.
Answer:
Step-by-step explanation:
How many 1/4 kg bread loaves can be made from 2½ kg of dough?
2½ / 1/4 = (5/2)•(4/1) = 20 / 2 = 10
The number of puffs made by 2½ kg of dough will be 10.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
The problem is given below:-
How many 1/4 kg puffs can be made from 2½ kg of dough?
The number of the puffs will be calculated as:-
2½ / 1/4 = (5/2) x (4/1) = 20 / 2 = 10
Therefore, the number of puffs made by 2½ kg of dough will be 10.
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select all expressions that are not equivalent to 12(12r + 12) - 6(2r - 3r + 8)
Simplify 7x + [x - (5 + x)].
O 7x - 5
O8X-5
9x - 5
Answer:
7x-5
Step-by-step explanation:
A committee is formed consisting of one representative from each of the 4 departments (CS-IS-IT-SW) in the computer science college, where the representative from a department is either the president or one of the two representatives from that department. How many ways are there to form this committee?
Step-by-step explanation:
each department has 3 options for their representative.
and each of these options can be associated with the 3 options of the next department. and so on.
so, we have
3×3×3×3 = 3⁴ = 81
possibilities to firm that committee overall.
I need answers ASAP
Answer:
Simplifying
6r + r + -5r = 0
Combine like terms: 6r + r = 7r
7r + -5r = 0
Combine like terms: 7r + -5r = 2r
2r = 0
Solving
2r = 0
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Divide each side by '2'.
r = 0
Simplifying
r = 0
7r-5r < this is the answer
6r+r=7r
Find the product. Simplify your answer.
(4z+4)(z+4)
just letting you know that the variable is x on here thats just what happened it is the right answer though
In the diagram, <4 and <5 are what type of angles?
A. corresponding angles
B. Alternate interior angles
C. Alternate exterior angles
D. Consecutive interior angles
Answer:
B. Alternate interior angles
Step-by-step explanation:
If the smaller of two numbers is one-half of the larger number and the sum of the two numbers is 78, find the numbers
Answer:
52 and 26
Step-by-step explanation:
2x=y
x+y=78
3x=78
x=26
2(26)=y
y=52
To check:
52+26=78
intergrate, e^-x (e^-½) with limits from 0 to π
Answer:
Step-by-step explanation:
First off, your written problem doesn't match the one you typed. The written problem doesn't have a solution, so I'm going with the typed one (cuz I can solve that one!).
Begin by noting that [tex]e^{-\frac{1}{2}[/tex] is a constant and can be pulled out front of the integration symbol:
[tex]e^{-\frac{1}{2}}\int\limits^\pi _0 {e^{-x}} \, dx[/tex]
Choose u = -x, so du/dx = -1 and -du = dx. Put that - out front along with what's already there to get:
[tex]-e^{-\frac{1}{2}}\int\limits^\pi _0 {e^{-u}} \, du[/tex]
The antiderivative of e^-u is e^-u, so putting it all together and applying the First Fundamental Theorem of Calculus:
[tex]-e^{-\frac{1}{2}}(e^{-\pi }-e^0)[/tex] which simplifies to
[tex]-e^{-\frac{1}{2}}(e^{-\pi }-1)[/tex] which simplifies to
[tex]-e^{-\pi -\frac{1}{2}}+e^{-\frac{1}{2}}[/tex] which has a decimal equivalency of .5803200934
Suzanne correctly answered 32 of the 40 questions on her math test
What decimal is equivalent to the fraction of questions Suzanne answered correctly?
Enter your answer in the box.
Answer:
Step-by-step explanation: 50 million
need help on the question
Answer:
what's the question?
Step-by-step explanation:
I'd love to help but i don't see a question...
15% of the town's population is over the age of 65. If there are 450 residents over the age of 65, what is the
town's total population?
Answer:
3000 residentsStep-by-step explanation:
Given:
15% of population = 450100% of population = xCross-multiply and solve for x:
x = 100*450/15 = 3000solve pls brainliest
Answer:
for the first one it 2
3
12
Simplify. 3x+4(x+3)+2
7x + 14
4x + 9
3x + 9
7x + 5
HELP ASAP
Answer:
7x + 14
Step-by-step explanation:
7x+14 is the correct awnser if you look at the question correctionly their notifying you:
simplify:
it so it would be the last subject 7x+14
i hope this helps
and i am 100% positive this is the correct awnser
the test was taken by me!
i hope you are happy with you answer and everyone else
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QUESTION YOU ASKED:
Simplify. 3x+4(x+3)+2
ANSWER CHOICE:
7x+14
4x+9
3x+9
7x+5
HELP ASAP
HERES MY ASAP ANSWER:
LAST ONE! D HOPE THIS HELPS!
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ANSWER: A
ANSWER IN WORD-FORM: x+
ANSWER SIMPLIFYED: 7x+14
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Suppose Martina places $9000 in an account that pays 18% interest compounded each year.
Assume that no withdrawals are made from the account.
Find the amount in the account at the end of 1 year and 2 years.
Answer: 1232
Step by Step: I just answered this
Plz help!!!!! Need theses as soon as possible. No links plz!!!!
Answer:
1. 3
2. 0, 620
3. Positive
4. 2006
5. 2637
(1/2)power 5=?? please help with this one
Answer:
2.2360679774998
Step-by-step explanation:
would you treat the following items as assets in the accounts of a company? 1- A box file 2-A computer 3-A plastic display stand
An asset is an item from which economic benefits flow unto an entity (a person or company in control of it). It can be in monetary terms or non-monetary terms. Thus, we can conclude from the question that:
1. A box file - It is an asset.
2. A computer - It is an asset.
3. A plastic display stand - It is not an asset.
An asset is that which ensure a continuous flow of economic benefits to an entity in possession (i.e control) of it. It can either be non-current or current.
A non-current asset is that which would be in the control of the entity for more than one accounting period (i.e a year). Examples are properties, Plants and equipment etc. While the current asset are those that the economic benefits derived from them would be lost after one accounting period (i.e a year). Examples are: purchased goodwill, intangible assets etc.
The items given in the question can be categorized as follows:
1. A box file - It is an asset. Since the entity will continue to use the box for more than a year.
2. A computer - It is an asset. The computer would be used for more than one accounting period.
3. A plastic display stand - It is not an asset. The plastic stand has a high probability of getting damaged even before the end of the accounting period.
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