Answer:
To obtain a valid approximation for probabilities about the average daily downtime, either the underlying distribution(of the downtime per day for a computing facility) must be normal, or the sample size must be of 30 or more.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes 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:
To obtain a valid approximation for probabilities about the average daily downtime, either the underlying distribution(of the downtime per day for a computing facility) must be normal, or the sample size must be of 30 or more.
whats the probabily of drawing one blue marbel from a bag that contains 4 red marbels 6 green marbles and 1 white marbel and 3 blue marble
Answer: 3/14
Step-by-step explanation:
Number of red marbles = 4
Number of green marbles = 6
Number of white marbles = 1
Number of blue marbles = 3
Total number of marbles = 14
Therefore, the probability of drawing one blue marble will be:
= Number of blue marbles / Total number of marbles
= 3/14
If a1 = 6 and an
-5an-1 + 4 then find the value of a4.
9514 1404 393
Answer:
a4 = -666
Step-by-step explanation:
Use the recursive definition repeatedly.
a1 = 6
a2 = -5(6) +4 = -26
a3 = -5(-26) +4 = 134
a4 = -5(134) +4 = -666
given f(x) = 2x³+3x²-12x+7 = (x-1)² (2x+7), differentiate to find f¹(x)
Step-by-step explanation:
We use the symbol f − 1 to denote an inverse function. For example, if f (x) and g (x) are inverses of each other, then we can symbolically represent this statement as:
g(x) = f − 1(x) or f(x) = g−1(x)
One thing to note about the inverse function is that the inverse of a function is not the same as its reciprocal, i.e., f – 1 (x) ≠ 1/ f(x). This article will discuss how to find the inverse of a function.
Since not all functions have an inverse, it is therefore important to check whether a function has an inverse before embarking on determining its inverse.
We check whether or not a function has an inverse in order to avoid wasting time trying to find something that does not exist.
What is the measure of E, in degrees?
5
48°
F
Answer:
A) 84°
Step-by-step explanation:
Since ED=EF=5
then F=D=48°
Then E=180°-48°-48°=84°
12 Kendrick wants to build a slide for his son in the backyard. He buys a
slide that is 8 feet long. The height of the stairs is 5 feet. Find the
distance from the bottom of the stairs to the base of the slide.
What is the volume of the following rectangular prism? (please help)
Answer:
?
Step-by-step explanation:
i think ljhh ako naiintindihan
Check my work
Concerns about climate change and CO2 reduction have initiated the
commercial production of blends of biodiesel (e.g., from renewable sources)
and petrodiesel (from fossil fuel). Random samples of 48 blended fuels are
tested in a lab to ascertain the bio/total carbon ratio.
(a) If the true mean is.9200 with a standard deviation of 0.0050, within what
interval will 99 percent of the sample means fall? (Round your answers to 4
decimal places.)
The interval is from
to
(
john had a bag of 10 marbles (2 Green, 4 Blue, 1 Yellow, 2 Red) What is the probability that john selects a green marble, replaced it, and then selects a green marble?
Answer:
2/9
Step-by-step explanation:
the question didnt say replaced it with another colour
Which values are NOT in the domain of the function?
f(x)
x +4
x2 – 25
O
A) x = -4,4
B) 2 = -5,4
C) x = -4,5
OD) X = -5,5
Given:
The function is:
[tex]f(x)=\dfrac{x+4}{x^2-25}[/tex]
To find:
The values that are NOT in the domain of the given function.
Solution:
We have,
[tex]f(x)=\dfrac{x+4}{x^2-25}[/tex]
This function is a rational function and it is defined for all real values of x except the values for which the denominator is equal to 0.
Equate the denominator and 0.
[tex]x^2-25=0[/tex]
[tex]x^2=25[/tex]
Taking square root on both sides, we get
[tex]x=\pm \sqrt{25}[/tex]
[tex]x=\pm 5[/tex]
So, the values [tex]x=-5,5[/tex] are not in the domain of the given function.
Therefore, the correct option is D.
số 37 không có ước nào là số nguyên tố
nhận xét trên đúng hay sai ?
Chào Đứa bé!!
Được thôi, nếu vậy câu trả lời cho của bạn câu hỏi là có/thật
I hope it helps u!!
Just comment if u have any questions :-)
please help me please help me please help me please help me please help me please help me please
Answer:
2025 is not a perfect cube
Help with number 16 please
Answer:
the answer is c. 300
Step-by-step explanation:
18+32×12÷2
base 1 + base 2 × height ÷ 2
The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 6 minutes and a population standard deviation of 2 minutes.
Find the probability that it took less than one minute to find a parking space. Round answer to four decimal places.
Answer:
56
Step-by-step explanation:
Answer: 0.0062
Step-by-step explanation:
Answer the following and round to one decimal place.
Step-by-step explanation:
5 1/2% = 5.5% = 5.5/100 = 0.055
0.055 * 68 = 3.74
Answer:
3.74
Step-by-step explanation:
[tex]5\frac{1}{2}%[/tex] of 68
In order to do this you need to convert 5 1/2 into a decimal!
Answer: 5.5
Explanation: 5 is a whole number and half of one unit will be 0.5
5 + 0.5 = 5.5
Then multiply 5.5 and convert 68 into "0.68"
5.5 × 0.68 = 3.74
Answer: 3.74
Which function is shown in the graph below?
Answer:y=log1x
Step-by-step explanation:
The following dot plot shows the number of chocolate chips in each cookie that Shawn has. Each dot represents a different cookie. Which of the following is a typical amount of chocolate chips in one of Shawn's cookies?
Choose 1 answer:
Please help me!!!!
Using the dot plot, it is found that a typical amount of chocolate chips in one of Shawn's cookies is around 4.56.
What is a dot plot?The dot plot is a graph shows the number of times each measure appears in the data-set.
Researching this problem on the internet, the dot plot states that:
2 cookies have 2 chips.2 cookies have 3 chips.5 cookies have 4 chips.4 cookies have 5 ships.3 cookies have 6 ships.2 cookies have 7 chips.The mean is given by:
M = (2 x 2 + 2 x 3 + 5 x 4 + 4 x 5 + 3 x 6 + 2 x 7)/(2 + 2 + 5 + 4 + 3 + 2) = 4.56.
Hence, a typical amount of chocolate chips in one of Shawn's cookies is around 4.56.
More can be learned about dot plots at https://brainly.com/question/24912483
Answer:
5 chocolate chips
Step-by-step explanation:
did on khan
PLEASE HELP QUICK!! WILL GIVE BRAINLIEST ANSWER!!!!!!!
Answer:
X = 32
Step-by-step explanation:
Angle BEC = 43 degrees
You find X by setting up the equation 137 = 3x+41
Solve for x
You find angle BEC by subtracting 137 from 180, finding the acute angle that brings the obtuse angle up to 180 degrees (a flat line)
Answer:
x = 32 degree and angle BEC = 43 degree
Step-by-step explanation:
3x + 41 = 137 degree (being vertically opposite angles)
3x = 137 - 41
x = 96/3
x = 32
angle BEC be y
137 + y =180 degree (being linear pair)
y = 180 - 137
y = 43 degree
therefore angle BEC = 43 degree
the ratio between length and breadth of a rectangle is 7 : 5 find its length and breadth if it its perimeter is 60 m
Answer:
length= 17.5 m , breadth = 12.5 m
Step-by-step explanation:
The ratio of length : breadth = 7 : 5 = 7x : 5x ( x is a multiplier )
Then
2l + 2b = perimeter ( l is length, b is breadth )
2(7x) + 2(5x) = 60
14x + 10x = 60
24x = 60 ( divide both sides by 24 )
x = 2.5
Then
length = 7x = 7 × 2.5 = 17.5 m
breadth = 5x = 5 × 2.5 = 12.5 m
A student's course grade is based on one midterm that counts as 20% of his final grade, one class project that counts as 10% of his final grade, a set of homework assignments that counts as 50% of his final grade, and a final exam that counts as 20% of his final grade. His midterm score is 63, his project score is 89, his homework score is 92, and his final exam score is 77. What is his overall final score? What letter grade did he earn (A, B, C, D, or F)? Assume that a mean of 90 or above is an A, a mean of at least 80 but less than 90 is a B, and so on
Answer:
85 i guess
Step-by-step explanation:
Solve the following system of equations graphically on the set of axes below.
y= x+2
y= -1/2x+8
Hi there!
»»————- ★ ————-««
I believe your answer is:
(4,6)
»»————- ★ ————-««
Here’s why:
I have graphed the two equations in a program. The point of intersection would be the solution to the system.When graphed, the lines intersect at point (4, 6). (4,6) is the solution.⸻⸻⸻⸻
See the graph attached.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
what are the range and domain?
Answer:
domain=0
range=2
Step-by-step explanation:
this might be helpful..
HELP ON NUMBER 2 PLEASE
c
step by step explanation
hope this helps
Answer:
its C
Step-by-step explanation:
if u need some explanation just ask
Is 11/15 repeating? If not, how many places does it take to terminate?
Answer:
repeating due to the denominator
Step-by-step explanation:
11/15 = (11/5)×(1/3)
11/5 terminates after 1 place.
but 1/3 is repeating due to the denominator, and that propagates into the result of the multiplication.
Find the 22nd term of the arithmetic sequence whose common difference is d =3 and whose first term is a_1=-20
-3x2 + 5x- 7 = 0 is not in general form.
True
False
The answer is true because it is not a general form
Arithmetic or geometric 18,13,8
Answer:
That is Arithmetic
Step-by-step explanation:
Arithmetic Sequence is described as a list of numbers, in which each new term differs from a preceding term by a constant quantity. Which is -5 in this case.
Hope this helps
HELP!!!!! hurry pls
Answer:
100
Step-by-step explanation:
since its collinear it has to be 180 -80 which equals 100.
Is A PQR=ASTU? If so, name the congruence postulate that applies.
Given:
ZPZS
ZOEZI
PO = ST
P
S
7
A. Congruent - SSS
B. Congruent - SAS
C. Congruent - ASA
O
D. Might not be congruent
Answer:
C.
Step-by-step explanation:
ASA stands for angle-side-angle.
one side and the 2 angles at the end points of this side are known. only one triangle can be created with that information.
and that is our situation here.
the sides PQ and respectively ST are known (the fact that they are of equal length qualifies for that).
and the angles at the end points of PQ are known (again, the fact that they have the same size as the angles for ST qualifies for that too).
so, ASA applies to prove that both triangles are congruent.
9. Use the Distributive Property to simplify (-5 - c)(-1).
a 5 - C
b C
c-5 + c
d 5 + C
Answer:
D. 5 + c
Step-by-step explanation:
( - 5 - c ) ( - 1 )
use distributive property ; to multiply -5 and - c by -1.
= -1 × - 5 - ( +1 ) × - c= 5 + cI need about 2 of these but pls explain so I can learn and try on my own pls
These problems are based on the Pythagorean Theorem. The Pythagorean Theorem is a^2 + b^2 = c^2. If the two sides are equal, the triangle is a right triangle. If c^2 is less, the triangle is acute. If c^2 is more, the triangle is obtuse.
Obtuse: c^2 > a^2 + b^2
Acute: c^2 < a^2 + b^2
Right: c^2 = a^2 + b^2
#7 --- Obtuse
21^2 ___ 8^2 + 15^2
441 ___ 64 + 225
441 > 289
#8 --- Right
20^2 ___ 12^2 + 16^2
400 ___ 144 + 256
400 = 400
#9 --- Acute
6^2 ___ 4^2 + 5^2
36 ___ 16 + 25
36 < 41
Hope this helps!
