If any of the graphs below have a Hamiltonian circuit, list the vertices of the complete circuit. There may be many possibilities. For full credit, just list one for each graph, if the circuit exists
9514 1404 393
Answer:
ABHGEFDCAdoes not existECBADFEStep-by-step explanation:
A Hamiltonian circuit visits each node once and returns to its start. There is no simple way to determine if such a circuit exists.
__
For graph 2, if there were a circuit, paths ACB, ADB, and AEB would all have to be on it. Inclusion of all of those requires visiting nodes A and B more than once, so the circuit cannot exist.
__
For graph 3, the circuit must include paths BAD and DFE. That only leaves node C, which can be reached from both nodes B and E, so path ECB completes the circuit.
tv originally cost $400 if the price of the TV increase by 15% what is the new price
Answer:
$460
Step-by-step explanation:
Thus, a product that normally costs $400 with a 15 percent discount will cost you $340.00, and you saved $60.00. You can also calculate how much you save by simply moving the period in 15.00 percent two spaces to the left, and then multiply the result by $400 as follows: $400 x .15 = $60.00 savings.
Use first principal to determine the equation of tangent to f(x)= 3x^2-6 Answer please
Answer:
final answer:
y-1= 3x_6
To solve our given problem, we must find the equation of the tangent line of the function f(x)=(x−1)3, at x=2.
.
.
Multiple incorrect password attempts for a single login can, of course, sometimes be suggestive of an attempt to gain unauthorized access to an account. Typically there are about 52 such attempts noted each day. An analyst examining web server logs notes what appears to be an increase in these incidents over the previous 30 days in which there were an average of 57 attempts each day with a standard deviation of 17.2. Has there been a statistically significant increase in the number of attempts? Use the standard level for alpha.
Answer:
The p-value of the test is 0.0613 > 0.05, which means that there has not been a statistically significant increase in the number of attempts.
Step-by-step explanation:
Typically there are about 52 such attempts noted each day. Test if there has been a statistically significant increase.
At the null hypothesis, we test if the mean is the same, that is of 52. Thus:
[tex]H_0: \mu = 52[/tex]
At the alternative hypothesis, we test if there has been an increase, that is, if the mean is greater than 52. So
[tex]H_1: \mu > 52[/tex]
Use the standard level for alpha.
So [tex]\alpha = 0.05[/tex]
The test statistic is:
We have the standard deviation for the sample, so t-distribution.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
52 is tested at the null hypothesis:
This means that [tex]\mu = 52[/tex]
Over the previous 30 days in which there were an average of 57 attempts each day with a standard deviation of 17.2.
This means that [tex]n = 30, X = 57, s = 17.2[/tex]
Value of the test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{57 - 52}{\frac{17.2}{\sqrt{30}}}[/tex]
[tex]t = 1.59[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 57, which is a right-tailed test with t = 1.59 and 30 - 1 = 29 degrees of freedom.
Using a t-distribution calculator, this p-value is of 0.0613.
The p-value of the test is 0.0613 > 0.05, which means that there has not been a statistically significant increase in the number of attempts.
What is the slope of the linear relationship shown in this table of values?
Answer: -2 (b)
Step-by-step explanation:
So the slope of the line is the amount that the line changes as it goes along the x or y axis. Think of it like a ramp- goes up or down, steep or flat.
Take a pair of points like (-4, 11) and (2, -1)
{But you can use other points in the chart too. }
-4 to 2 is a distance of 6 --> that is the x
11 to -1 is a distance of -12 --> that is the y
We want the change in y over (or divided by) change in x.
-12 / 6 = -2
Answer:
B
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 11) and (x₂, y₂ ) = (2, - 1) ← 2 ordered pairs from the table
m = [tex]\frac{-1-11}{2-(-4)}[/tex] = [tex]\frac{-12}{2+4}[/tex] = [tex]\frac{-12}{6}[/tex] = - 2 → B
A person travels 620 mi in 10 hours. What is the rate in miles per hour?
Answer:
62 miles per hour
Step-by-step explanation:
620mile/10hrs
62miles/hr
62 miles per hour
We need to find the numerator and denominator of the quotient.
Answer:
[tex] \dfrac{(x - 2)^2}{(x - 1)^2} [/tex]
Step-by-step explanation:
[tex] \dfrac{x^2 + x - 6}{x^2 - 6x + 5} \div \dfrac{x^2 + 2x - 3}{x^2 - 7x + 10} = [/tex]
[tex] = \dfrac{x^2 + x - 6}{x^2 - 6x + 5} \times \dfrac{x^2 - 7x + 10}{x^2 + 2x - 3} [/tex]
[tex] = \dfrac{(x + 3)(x - 2)}{(x - 1)(x - 5)} \times \dfrac{(x - 5)(x - 2)}{(x - 1)(x + 3)} [/tex]
[tex] = \dfrac{(x + 3)(x - 2)(x - 5)(x - 2)}{(x - 1)(x - 5)(x - 1)(x + 3)} [/tex]
[tex] = \dfrac{(x - 2)(x - 2)}{(x - 1)(x - 1)} [/tex]
[tex] = \dfrac{(x - 2)^2}{(x - 1)^2} [/tex]
Convert 6 qt/min to gallons per hour
Answer:
90
Step-by-step explanation:
See image below:)
Find the perimeter of each figure select the figure that have a perimeter of 20 units
If bob gives away 7 blocks, he will have 12 left. How many blocks did he have originally
Answer:
h
Step-by-step explanation:
19 blocks
Answer:
original blocks =19
Step-by-step explanation:
original blocks -7 =12
Add 7 to each side
original blocks -7+7 =12+7
original blocks =19
Plzzz someone help i just need the formula
Answer:
[tex]S(y)=36000*(1+0.03)^{y}[/tex]
Step-by-step explanation:
Answer:
y=36,000×1.03^x
Step-by-step explanation:
5х – 4 y = -10
3х + 2y = 16
Answer:
x= 2, y= 5
Step-by-step explanation:
5x -4y= -10 -----(1)
3x +2y= 16 -----(2)
(2) ×2:
6x +4y= 32 -----(3)
(1) +(3):
5x -4y +6x +4y= -10 +32
11x= 22
x= 22 ÷11 (÷11 on both sides)
x= 2
Substitute x= 2 into (2):
3(2) +2y= 16
6 +2y= 16
2y= 16 -6
2y= 10
y= 10 ÷2
y= 5
Mona wants to buy carpet for a floor in her house.
The floor is rectangular with a width of 8 m and a length of 9 m.
Two shops sell carpet with the prices shown below.
How much will Mona save by going to Carpet World ?
the ratio of the following 30 minutes to 2 hours.
Answer:
30 minutes to 120 minutes.
Step-by-step explanation:
Answer:
2 hrs=120 min
30:120=1:4
Step-by-step explanation:
ans is 1:4
marke brainliest plzzzzzzz
what is A big rubbing alcohol holds 2 liters . How many milliliters is this
Answer:
it equals 2000 mililiters
Step-by-step explanation:
HELP DUE SOON 20 POINTS
Answer:
x = 10
Step-by-step explanation:
m∠KNL = 90
10x - 10 = 90
10x = 100
x = 10
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Finding the side length of a rectangle given its perimeter or area
The area of a rectangular field is 3975 yd?. If the length of the field is 75 yards, what is its width?
yards
Х
?
Answer:
53 yds
Step-by-step explanation:
Its just 3975 divided by 75
8b - 5a + 4 for a = -4 and b = 7
If anyone gets this tysm
Answer:
80Step-by-step explanation:
Given Question,
8b - 5a + 4
Given Values:
a = -4 and b = 7
Solution,
8(7) - 5(-4) + 4
= 56 + 20 + 4
= 80 (Ans)
Answer:
80
Step-by-step explanation:
8b - 5a + 4
a = - 4
b = 7
8(7) - 5(- 4) + 4
56 - (- 20) + 4
56 + 20 + 4
60 + 20
80
please help this is due today! geometry
Find the distance between the points (4.3) and (0, 3).
Simplify the following expression.
29.718 - 29.63
Answer:
0.088 is the answer...
A business student is interested in estimating the 90% confidence interval for the proportion of students who bring laptops to campus. He wishes a precise estimate and is willing to draw a large sample that will keep the sample proportion within seven percentage points of the population proportion. What is the minimum sample size required by this student, given that no prior estimate of the population proportion is available
Answer:
n = 106
Step-by-step explanation:
Given
p = 0.5 and 1-p = q = 0.5
Margin of error = 0.08
Confidence level = 90%
Z score for 90% confidence level = 1.65
As we know -
Margin of error = z * Sqrt (pq/n)
Substituting the given value, we get –
0.08 = 1.65 * Sqrt (0.5*0.5/n)
Squaring both the sides and solving, we get
n = 1.65^2*0.5^2/0.08^2
n = 106.34 = 106
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.12 and the probability that the flight will be delayed is 0.08. The probability that it will not rain and the flight will leave on time is 0.82. What is the probability that it is raining if the flight leaves on time? Round your answer to the nearest thousandth.
Answer:
0.109 = 10.9% probability that it is raining if the flight leaves on time.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
Conditional probability:
Event A: Leaves on time
Event B: Raining
Probability that the flight will be delayed is 0.08.
So 1 - 0.08 = 0.92 probability that it leaves on time, that is, [tex]P(A) = 0.92[/tex]
The probability that it will not rain and the flight will leave on time is 0.82.
0.92 - 0.82 = 0.1 probability it is raining and the flight leaves on time, so:
[tex]P(A \cap B) = 0.1[/tex]
What is the probability that it is raining if the flight leaves on time?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1}{0.92} = 0.109[/tex]
0.109 = 10.9% probability that it is raining if the flight leaves on time.
how to write expression for The product of ten less than a number and the number
Answer:
x-10
Step-by-step explanation:
ten is less than x
follow me for more answer
Joseph leans a 20-foot ladder against a wall so that it forms an angle of 69° with the
ground. How high up the wall does the ladder reach? Round your answer to the
nearest hundredth of a foot if necessary.
Answer:
18.67 ft
Step-by-step explanation:
|\
| \
| \
h | \ 20 ft
| \
| \
|-- 69° \
---|----------------
For the 69° angle, h is the opposite leg, and 20 ft is the hypotenuse.
sin A = opp/hyp
sin 69° = h/20
h = 20 * sin 69°
h = 18.67
Answer: 18.67 ft
If RT is 10 centimeters long, what is ST?
Answer:
Answer: a
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
First, find x
RT = 2x + 3x
10 = 2x+3x
10 = 5x
10/5 = 2
Now place 2 in place of x in the line ST
ST = 3x
ST = 3 * 2
ST = 6
4th grade math question:
jessica bought 4 gallons of paint. Jessica needed to use 3/4 of the paint to paint her living room and dining room. How many gallons did she use, write the number of gallons.
Answer:
1 gallon
Step-by-step explanation:
gallons of paint needed; 4
gallons used: (3/4)*4
= 1 gallon was used
Answer:
Answer is 3 gallons
Step-by-step explanation:
1 gallon= 25%
2 gallons=50%
3 gallons=75%
3/4 is equivalent to 75%
Hope this helped!
Get brainly if right?
10 points!
Answer:
Tn = -13n +37
ordered list is 24, 11 , -2 , -15, -28 ,-41
Jared flicked the arrow on this spinner four times, and the arrow landed on green each time. If Jared spins the arrow a fifth time what is the theoretical probability that it will land on green
Answer:
The correct answer would be 3/8.
Step-by-step explanation:
There are 3 greens on this spinner , and 8 in total , so there’sa probability of 3% that the arrow will land on green again .
The theoretical probability that it will land on green is 1.
What is the probability?
It is the likeliness of happening an event. It is calculated by the following formula:
Probability=number of events/number of total events.
How to calculate the probability?
Jared had flicked the arrow all the four times on the green ,it means that the probability that it is landed on green each time is 100%. So the probability that it will land on green fifth time also is 1.
Learn more about probability at https://brainly.com/question/25870256
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Find the area of an equilateral triangle with apothem length 4 cm.
If necessary, write your answer in simplified radical form.
Step-by-step explanation:
Hey there!
According to the question;
Side (a) = 4cm
To find : area
Now;
[tex]area = \frac{ \sqrt{3} }{4} {(a)}^{2} [/tex]
[tex]or \: area = \frac{ \sqrt{3} }{4} ( {4)}^{2} [/tex]
[tex]area \: = 4 \sqrt{3} [/tex]
Therefore, area of triangle is 6.92 cm² or 4√(3) cm².
Hope it helps!
PLSSSSS HELP ASAP PLSSSS !!!
Answer:
15
Step-by-step explanation:
6x+3 = 7x-12
6x-7x=-12-3
-x= -15
x= 15
6x+3 = 7x-12
6x-7x=-12-3
-x= -15 from now on we know that x is now 15
so the answer is 15
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