The correct answer is
B) 17
I just took the quiz on edge
Answer:
it is 17
Step-by-step explanation:
i got it right on my test review
The computer center at Dong-A University has been experiencing computer down time. Let us assume that the trials of an associated Markov process are defined as one-hour periods and that the probability of the system being in a running state or a down state is based on the state of the system in the previous period. Historical data show the following transition probabilities: From Running down Running 0.90 0.10 Down 0.30 0.70 If the system is initially running, what is the probability of the system being down in next hour of operation? At a current period, the system is in a down state. After 2 periods of time, what is the probability that the system will be in the state of running? c. What are the steady-state probabilities of system being in the running state and in the down state?
Answer:
(a)0.16
(b)0.588
(c)[tex][s_1$ s_2]=[0.75,$ 0.25][/tex]
Step-by-step explanation:
The matrix below shows the transition probabilities of the state of the system.
[tex]\left(\begin{array}{c|cc}&$Running&$Down\\---&---&---\\$Running&0.90&0.10\\$Down&0.30&0.70\end{array}\right)[/tex]
(a)To determine the probability of the system being down or running after any k hours, we determine the kth state matrix [tex]P^k[/tex].
(a)
[tex]P^1=\left(\begin{array}{c|cc}&$Running&$Down\\---&---&---\\$Running&0.90&0.10\\$Down&0.30&0.70\end{array}\right)[/tex]
[tex]P^2=\begin{pmatrix}0.84&0.16\\ 0.48&0.52\end{pmatrix}[/tex]
If the system is initially running, the probability of the system being down in the next hour of operation is the [tex](a_{12})th$ entry of the P^2$ matrix.[/tex]
The probability of the system being down in the next hour of operation = 0.16
(b)After two(periods) hours, the transition matrix is:
[tex]P^3=\begin{pmatrix}0.804&0.196\\ 0.588&0.412\end{pmatrix}[/tex]
Therefore, the probability that a system initially in the down-state is running
is 0.588.
(c)The steady-state probability of a Markov Chain is a matrix S such that SP=S.
Since we have two states, [tex]S=[s_1$ s_2][/tex]
[tex][s_1$ s_2]\left(\begin{array}{ccc}0.90&0.10\\0.30&0.70\end{array}\right)=[s_1$ s_2][/tex]
Using a calculator to raise matrix P to large numbers, we find that the value of [tex]P^k[/tex] approaches [0.75 0.25]:
Furthermore,
[tex][0.75$ 0.25]\left(\begin{array}{ccc}0.90&0.10\\0.30&0.70\end{array}\right)=[0.75$ 0.25][/tex]
The steady-state probabilities of the system being in the running state and in the down-state is therefore:
[tex][s_1$ s_2]=[0.75$ 0.25][/tex]
Using traditional methods, it takes 11.7 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 23 students and observed that they had a mean of 12.1 hours with a standard deviation of 1.4. A level of significance of 0.05 will be used to determine if the technique performs differently than the traditional method. Assume the population distribution is approximately normal. Find the value of the test statistic. Round your answer to three decimal places.
Answer:
There is no evidence to said that the technique performs differently than the traditional method.
Step-by-step explanation:
First, we need to write the null and alternative hypothesis as:
H0: x = 11.7
H1: x ≠ 11.7
Where x is the population mean for the new method.
Taking into account that the population distribution is approximately normal and the standard deviation of the population is unknown, we can calculated the statistic as:
[tex]t=\frac{x'-x}{\frac{s}{\sqrt{n} } }[/tex]
Where t follows a distribution t-student with n-1 degrees of freedom.
So, replacing x' by the mean of the sample, s by the standard deviation of the sample and n by the size of the sample, we get:
[tex]t=\frac{12.1-11.7}{\frac{1.4}{\sqrt{23} } }=1.37[/tex]
Then, we can find the critical points as:
P(t<t1) = 0.025
P(t<t2) = 0.975
So, with 22 degrees of freedom, the critical point t1 and t2 are equal to -2.07 and 2.07 respectively.
Since 1.37 is between the critical points, we can't reject H0. it means that there is no evidence to said that the technique performs differently than the traditional method.
A sociologist wishes to estimate the average number of automobile thefts in a large city per day within 2 automobiles. He wishes to be 99% confident, and from a previous study the standard deviation was found to be 4.2. How many days should he select to survey
Answer:
[tex]n=(\frac{2.58(4.2)}{2})^2 =29.35 \approx 30[/tex]
So the answer for this case would be n=30 rounded up to the nearest integer
Step-by-step explanation:
Information given
[tex]ME = 2[/tex] the margin of error desired
[tex] \sigma =4.2[/tex] standard deviation from previous studies
The margin of error is given by this formula:
[tex] ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}[/tex] (a)
And on this case we have that ME =2 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
[tex]n=(\frac{z_{\alpha/2} \sigma}{ME})^2[/tex] (b)
The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance level is [tex]\alpha=0.01[/tex] and the critical value would be [tex]z_{\alpha/2}=2.58[/tex], replacing into formula (b) we got:
[tex]n=(\frac{2.58(4.2)}{2})^2 =29.35 \approx 30[/tex]
So the answer for this case would be n=30 rounded up to the nearest integer
Caitlin has cut out a square piece of graph paper that contains a total of 81 blocks.How many blocks are there along one side of the square? Look at the bottom of the page (Number 25)
Answer:
9 squares on each side of the square.
Step-by-step explanation:
[tex]\sqrt{81}=\sqrt{9\times 9}=\sqrt{9^2}=9[/tex]
There are 9 equally sized blocks on one side of square piece of graph paper.
Best Regards!
Pleasssseeeeee helllllllpppppp
Answer:
Question 2:
A) A and C
B) D and F
Let f(x)=x-1,h(x)=-x+4. Find (f o h)(4). (f o h)(4)=
Answer:
-1
Step-by-step explanation:
(f⚬h)(4) = f(h(4)) = f(-4+4) = f(0)
f(0) = 0-1 = -1
(f⚬h)(4) = -1
Any help would be greatly appreciated
Answer: 267.9
Step-by-step explanation:
Since we are given the radius, we can plug it into the equation given.
[tex]V=\frac{4}{3} \pi (4)^3[/tex]
[tex]V=\frac{4}{3} \pi (64)[/tex]
[tex]V=267.9[/tex]
There are 5 gallons of distilled water in science supplies. If 8 students each use an equal amount of distilled water and there is 1 gallon left in supplies, how much will each student get?
Answer:
0.5 gallon
Step-by-step explanation:
let x refer to students
5 = 8x + 1
8x = 4
x= 0.5 gallon
26
Ping lives at the corner of 3rd Street and 6th Avenue. Ari
lives at the corner of 21st Street and 18th Avenue. There is
a gym į the distance from Ping's home to Ari's home.
24
22
20
n
Ari (21.18)
7
x =
18
(x2 – x) + x3
mi+n
16
Avenue
14
-- ( , Jive - y) +
12
10
Where is the gym?
00
6
Ping (36)
4
2
9th Street and 10th Avenue
12th Street and 12th Avenue
0 14th Street and 12th Avenue
15th Street and 14th Avenue
2
x
4 6 8 10 12 14 16 18 20 22 24 26
Street
Corrected Question
Ping lives at the corner of 3rd Street and 6th Avenue. Ari lives at the corner of 21st Street and 18th Avenue. There is a gym 2/3 the distance from Ping's home to Ari's home. Where is the gym?
9th Street and 10th Avenue 12th Street and 12th Avenue 14th Street and 12th Avenue 15th Street and 14th AvenueAnswer:
(D)15th Street and 14th Avenue
Step-by-step explanation:
Ping's Location: (3rd Street, 6th Avenue)
Ari's Location: (21st Street, 18th Avenue)
The gym is at point P which is [tex]\dfrac{2}{3}[/tex] the distance from Ping's home to Ari's home.
That is, Point P divides the line segment in the ratio 2:1.
We use the section formula:
[tex](x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)[/tex]
m:n=2:1, [tex](x_1,y_1)=(3,6), (x_2,y_2)=(21,18)[/tex]
[tex]=\left(\dfrac{2*21+1*2}{2+1}, \dfrac{2*18+1*6}{2+1}\right)\\=\left(\dfrac{45}{3}, \dfrac{42}{3}\right)\\=(15,14)[/tex]
The gym is located at 15th Street and 14th Avenue.
Jamaal knows that it is certain that he will win the election because he is the only person who is running for class treasurer. Which value represents the probability that he will win the election?
Answer:
The probability is 1
Step-by-step explanation:
P ( Jamaal winning) = Jamaal / number of people running
= 1/1
= 1
Answer:
1
Step-by-step explanation: :-)
6, 9, 15, 24, 36, 51, ?
Answer:
6, 9, 15, 24, 36, 51, 69, 90, 114
Answer:
6, 9, 15, 24, 36, 51, 69, 90, 114 and so on........
Which expression is equivalent to
squrt 64a^6
Answer:
[tex]8a^3[/tex]
Step-by-step explanation:
[tex]\sqrt{64a^6}[/tex]
[tex]\sqrt{64} \times \sqrt{a^6}[/tex]
[tex]8 \times \sqrt{a^6}[/tex]
[tex]8 \times a^{6 \times \frac{1}{2} }[/tex]
[tex]8 \times a^{\frac{6}{2} }[/tex]
[tex]8 \times a^3[/tex]
Answer:
[tex]8a^3[/tex]
Step-by-step explanation:
= [tex]\sqrt{64a^6}[/tex]
= [tex]\sqrt{8*8*(a^3)^2}[/tex]
= [tex]8a^3[/tex]
Please answer this correctly
Answer:
1/4 of the buckets
Step-by-step explanation:
more than is 2 cups
There are 2 with 2 cups
There are a total of 8 buckets
2/8 = 1/4
1/4 have more than 1 3/4 cups
Answer:
1/4 of the buckets
Step-by-step explanation:
If you look on the graph, there are 2 Xs on the 2 mark which means that there are only 2/8 of the buckets have more than 1 3/4 cups.
Solve 2cos3x=0.9.
Pls help me with this trigonometric equations with multiple angles.
Answer:
[tex]x=\frac{cos^{-1}(0.45)+2n\pi}{3} ,x=\frac{2\pi- cos^{-1}(0.45)+2n\pi}{3}[/tex]
Step-by-step explanation:
Given: [tex]2 cos(3x)=0.9[/tex]
To find: solutions of the given equation
Solution:
Triangle is a polygon that has three sides, three angles and three vertices.
Trigonometry explains relationship between the sides and the angles of the triangle.
Use the fact: [tex]cos x=a[/tex]⇒[tex]x=cos^{-1}(a)+2n\pi,x=2\pi-cos^{-1}(a)+2n\pi[/tex]
[tex]2 cos(3x)=0.9[/tex]
Divide both sides by 2
[tex]cos(3x)=\frac{0.9}{2}=0.45[/tex]
[tex]3x=cos^{-1}(0.45)+2n\pi,3x=2\pi- cos^{-1}(0.45)+2n\pi[/tex]
So,
[tex]x=\frac{cos^{-1}(0.45)+2n\pi}{3} ,x=\frac{2\pi- cos^{-1}(0.45)+2n\pi}{3}[/tex]
What is the product ? (7x^2 )(2x^3 +5)(x^2-4x-9)
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Edge 2021
Find the area of the smaller sector.
A
6 in
030°
Area = [? ]in?
B
Round your answer to the nearest hundredth.
Answer:
9.42 in²
Step-by-step explanation:
The area of whole circle S=pi*R² , where pi is appr. 3.14, R= 6 in
S= 3.14*6² =113.04 in²
The area of smaller sector is Ssec=S/360*30=113,04/12=9.42 in²
The area of the smaller sector with a central angle of 30 degrees and a radius of 6 inches is 9.42478 square inches.
To find the area of a sector, you can use the formula:
Area of sector = (θ/360) × π × r²
where θ is the central angle in degrees, r is the radius of the sector.
The central angle is 30 degrees and the radius is 6 inches.
Plugging these values into the formula:
Area of sector = (30/360) × π × 6²
= (1/12) × π × 36
= (1/12) × 3.14159 × 36
= 9.42478 square inches
To learn more on Area of sector click:
https://brainly.com/question/29055300
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Tasha wants to take money out of the ATM for a taxi fare. She wants to do a quick estimate to see if taking $120 out of her bank account will overdraw it. She knows she had $325 in the account this morning when she checked her balance. Today she bought lunch for $19, a dress for $76, a pair of shoes for $53, and a necklace for $23. She also saw a movie with a friend for $12. Rounding each of her expenses to the nearest tens place, estimate how much money Tasha has left in her account before she goes to the ATM. Do not include the $ in your answer.
Answer:145
Step-by-step explanation: $19=20 76=80 53=50 23=20 12=10 total = 180 325-180 =145
What does 3 represent in the equation y = 3x ? the -intercept the slope yintercept
Answer:
The slope
Step-by-step explanation:
Its equation: y= ax (where a represents the slope)
y =3x
Hope this helps
Good Luck
1/5 as a percent rounded to the nearest hundredth
Answer:
1/5 as a percent is 20%
Step-by-step explanation:
Answer: 20%
Step-by-step explanation: Let's turn it into a decimal by dividing!
1 ÷ 5 = 0.2
0.2 x 100 = 20 = 20%
I hope this helps!
Help me please thank u
Answer:
4+3n
Step-by-step explanation:
We get the formula 4+3n because the pattern is +3 each term starting with the first term as 7. Since the first term is 7, we get 4+3n.
There are 15,958,866 adults in a region. If a polling organization randomly selects 1235 adults without replacement, are the selections independent or dependent? If the selections are dependent, can they be treated as independent for the purposes of calculations? Are the selections independent or dependent?
Answer:
The selections are dependent.
Yes, they can be treated as independent (less than 5% of the population).
Step-by-step explanation:
Since the selections are made without replacement, each selection affects the outcome of the next selection and, therefore, the selections are dependent.
Although they are dependent, the selections can be treated as independent if the sample size is no more than 5% of the total population. In this case, the sample size is 1235 adults out of a population of 15,958,866 adults. The percentage represented by the sample is:
[tex]P=\frac{12,345}{15,958.866}*100\\ P=0.077\%[/tex]
Thus the selections can be treated as independent for the purposes of calculations.
Please answer this correctly
Answer:
There are 10 teams.
Step-by-step explanation:
Given that the question wants at least 48 swimmers so any numbers above 47 are counted.
In this diagram, there are 10 teams consisting 48 swimmers and above, 48, 52, 53, 63, 76, 79, 82, 84, 85 and 86.
Answer:
10 teams have 48 or more swimmers.
Step-by-step explanation:
If we look at stem 4 there is one team with 48 members.
So counting from there we have:
1 + 2 + 1 + 2 + 4
= 10 teams.
Which of the following lines has a slope of -1/2? my options are x - 2 y = 0 - x + 2 y = 0 x + 2 y = 0
Answer: So x + 2y = 0 is your answer
Step-by-step explanation:
if you look simplify all of these, you will get:
x - 2y = 0
-2y = -x
y = 1/2x No
-x + 2y = 0
2y = x
y = 1/2x No
x + 2y = 0
2y = -x
y = -1/2x Yes!
So x + 2y = 0 is your answer
Answer:So x + 2y = 0 is your answer
Step-by-step explanation:
if you look simplify all of these, you will get:
x - 2y = 0
-2y = -x
y = 1/2x No
-x + 2y = 0
2y = x
y = 1/2x No
x + 2y = 0
2y = -x
y = -1/2x Yes!
So x + 2y = 0 is your answer
Golden algae are a group of protists whose color is due to carotenoid pigments: yellow and brown. Most have two flagella and all are photosynthetic. A group of students was given a sample of one of these (Dinobryon) that is colonial. Their instructions were to design two or more experiments that could be done with these organisms. The students decide that for one of their experiments, they want to see whether the organisms can photosynthesize. Which of the following is the most appropriate hypothesis for their experiment?
a. If the Dinobryon are kept in the dark, then one-half will be expected to die in 5 days.
b. If the Dinobryon can live without exposure to light for > 5 days, then they must be able to photosynthesize.
c.If the Dinobryon can live > 5 days without added food, then they must be able to photosynthesize.
d.If the Dinobryon are able to photosynthesize, then they should contain photosynthetic pigments
e. If the Dinobryon photosynthesize, then they must need no other minerals or nutrients and will be able to live in distilled water and light alone.
Answer:
Option-D
Step-by-step explanation:
Golden algae are the protists which can photosynthesize and possess flagella. In the given question, a hypothesis has to be proposed which could explain the photosynthesis process in the golden algae process.
A hypothesis is a predicted statement which is based on the previous knowledge and can explain the natural event in. Also, the hypothesis can be tested with the experiments.
The hypothesis shows the possibility of the natural event therefore hypothesis begins with the If the word. In the given question, the statement that if Dinobryon can photosynthesise then they should contain the photosynthetic pigments is considered correct hypothesis which can be tested through the experiments.
Thus, Option-D is the correct answer.
Which set of ordered pairs could be generated by an exponential function?A.(0,0),(1,1),(2,8),(3,27)B.(0,1),(1,2),(2,5),(3,10)C.(0,0),(1,3),(2,6),(3,9)D.(0,1),(1,3),(2,9),(3,27)
Answer:
Option D
Step-by-step explanation:
Let an exponential function
[tex]f(x)=ab^x[/tex]
Where a=Constant[tex]\neq 0[/tex]
[tex]b\neq 0[/tex]
We know that
[tex]b^0=1[/tex]
Therefore,
Point (0,0) can not be obtained by exponential function.
Hence,option A and C are incorrect.
Substitute (0,1)
[tex]1=a[/tex]
[tex]f(x)=b^x[/tex]
Substitute (1,2)
[tex]2=b^1[/tex]
[tex]\implies b^2=4\neq 5[/tex]
Hence, option B is incorrect.
D.(0,1),(1,3),(2,9),(3,27)
[tex]f(1)=b=3[/tex]
[tex]b^2=(3)^2=9[/tex]
[tex]b^3=3^3=27[/tex]
Hence, option D is correct.
Two points are located along a one dimensional coordinate system. The first point is at 2.1 cm and the second point is at 1.8 cm. What is the distance (in cm) between the two points? [Enter only the numerical value, not the unit cm.]
Answer:
Distance = 0.3
Step-by-step explanation:
We have two point in a line (one dimension).
One point is at 2.1 units and 1.8 units.
The distance between two points can be calculated as the absolute value of the difference between the position of each point.
This can be derived from the distance formula for two dimensions:
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\y_1=y_2=0\\\\d=\sqrt{(x_2-x_2)^2}\\\\d=|x_2-x_1|[/tex]
Then, for this case, the distance is:
[tex]d=|1.8-2.1|=|-0.3|=0.3[/tex]
Kinda been stuck on this one, someone pls let me know
Answer:
255
Step-by-step explanation:
use calculator
Answer:
255
Step-by-step explanation:
∑ᵢ₌₁⁸ 2ⁱ⁻¹
Using brute force method:
S = 2⁰ + 2¹ + 2² + 2³ + 2⁴ + 2⁵ + 2⁶ + 2⁷
S = 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128
S = 255
Using formula:
S = a₁ (1 − rⁿ) / (1 − r)
S = 1 (1 − 2⁸) / (1 − 2)
S = 255
Which means "a number n increased by 6.2"?
Answer:
n + 6.2
Step-by-step explanation:
Increased here means addition, addition of 6.2 with the number n.
Richard has just been given a 6-question multiple-choice quiz in his history class. Each question has four answers, of which only one is correct. Since Richard has not attended class recently, he doesn't know any of the answers. Assuming that Richard guesses on all six questions, find the indicated probabilities. (Round your answers to three decimal places.)
What is the probability that Richard will answer at least half the questions correctly?
Answer:
0.169
Step-by-step explanation:
This is a question on binomial distribution where we only have two outcomes: success or failure
Binomial distribution formula:
P(X= x) = n!/[x!(n-x)!] p^x × q^(n-x)
n is the number of questions in the quiz n = 6
Probability of guessing a correct number = probability of success = p
We told each question has 4 options in which one is correct.
The probability of guessing a correct answer = p= 1/4
p = 0.25
q = 1-p = 1-0.25
q = 0.75
Probability that Richard will answer at least half the questions correctly = P(X≥3)
P(X≥3) = P(X=3) +P(X=4) +P(X=5) +P(X=6)
See attachment for details
P(X≥3) = 0.01318 + 0.0330 + 0.0044 + 0.0002
P(X≥3) = 0.1694
The probability that Richard will answer at least half the questions correctly = 0.169
Rearrange the following steps in the correct order to locate the last occurrence of the smallest element in a finite list of integers, where the integers in the list are not necessarily distinct.
a. return location
b. min ≔a1 and location ≔1
c. min ≔ai and location≔i
d. procedure last smallest(a1,a2,...,an: integers)
e. If min >= ai then
Answer:
The rearranged steps is as follows:
d. procedure last smallest(a1,a2,...,an: integers)
b. min ≔a1 and location ≔1
e. If min >= ai then
c. min ≔ai and location≔i
a. return location
Step-by-step explanation:
The proper steps to perform the task in the question above is dbeca
Here, the procedure (or function) was defined along with necessary parameters
d. procedure last smallest(a1,a2,...,an: integers)
The smallest number is initialized to the first number on the list and its location is initialized to 1
b. min ≔a1 and location ≔1
The next line is an if conditional statement that checks if the current smallest number is greater than a particular number
e. If min >= ai then
If the above condition is true, the smallest value is assigned to variable min; it's location is also assigned to variable location
c. min ≔ai and location≔i
The last step returns the location of the smallest number
a. return location
