Answer:
2.5782963e+29
Step-by-step explanation:
basically 19 times itself 63 times
Answer:
19^63 , 3.6431483821774E+80
Step-by-step explanation:
Is 5cm 3cm 7cm is a sides of a triangle?.
Answer:
Yes! The sides 5,3 and 7 can create a triangle!
Step-by-step explanation:
It follows the rule:
a + b > c
a + c > b
c + b > a
A bus driver took 4 ¾ hours to complete a journey. How many minutes is this?
Answer:
624 minutes and 10 seconds
how many strings of length 14 over the alphabet {a, b, c, d} have exactly three a's or exactly three b's or both?
Answer:
We know that there are 5,569,500 strings of length 14 over the alphabet {a, b, c, d} that have exactly three a's or exactly three b's or both
Step-by-step explanation:
We can use the principle of inclusion-exclusion to count the number of strings of length 14 over the alphabet {a, b, c, d} that have exactly three a's or exactly three b's or both.
First, let's count the number of strings with exactly three a's. We can choose the positions for the three a's in ${14 \choose 3}$ ways, and for each choice, we can fill the remaining 11 positions with any of the three remaining letters (b, c, or d) in $3^{11}$ ways. Therefore, the number of strings with exactly three a's is ${14 \choose 3} \times 3^{11}$.
Similarly, the number of strings with exactly three b's is ${14 \choose 3} \times 3^{11}$.
To count the number of strings with both three a's and three b's, we can choose the positions for the three a's in ${14 \choose 3}$ ways, and choose the positions for the three b's among the remaining 11 positions in ${11 \choose 3}$ ways. Then, we can fill the remaining 8 positions with any of the two remaining letters (c or d) in $2^8$ ways. Therefore, the number of strings with both three a's and three b's is ${14 \choose 3} \times {11 \choose 3} \times 2^8$.
By the principle of inclusion-exclusion, the total number of strings with exactly three a's or exactly three b's or both is:
(
14
3
)
×
3
11
+
(
14
3
)
×
3
11
−
(
14
3
)
×
(
11
3
)
×
2
8
(
3
14
)×3
11
+(
3
14
)×3
11
−(
3
14
)×(
3
11
)×2
8
Simplifying this expression gives:
2
×
(
14
3
)
×
3
11
−
(
14
3
)
×
(
11
3
)
×
2
8
2×(
3
14
)×3
11
−(
3
14
)×(
3
11
)×2
8
Plugging in the values gives us:
2
×
(
14
3
)
×
3
11
−
(
14
3
)
×
(
11
3
)
×
2
8
=
5
,
569
,
500
2×(
3
14
)×3
11
−(
3
14
)×(
3
11
)×2
8
=5,569,500
Therefore, there are 5,569,500 strings of length 14 over the alphabet {a, b, c, d} that have exactly three a's or exactly three b's or both
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Which graph represents the function f(x) = [x] – 4?
Answer:
Take the numbers to their prime factorization. Write the final answer in exponential form.
1. 28 2. 36 Take the numbers to their prime factorization. Write the final answer in exponential form.
1. 28 2. 36 Take the numbers to their prime factorization. Write the final answer in exponential form.
1. 28 2. 36 Take the numbers to their prime factorization. Write the final answer in exponential form.
1. 28 2. 36 Take the numbers to their prime factorization. Write the final answer in exponential form.
1. 28 2. 36 Take the numbers to their prime factorization. Write the final answer in exponential form.
1. 28 2. 36 Take the numbers to their prime factorization. Write the final answer in exponential form.
1. 28 2. 36 Take the numbers to their prime factorization. Write the final answer in exponential form.
1. 28 2. 36 Take the numbers to their prime factorization. Write the final answer in exponential form.
1. 28 2. 36 Take the numbers to their prime factorization.
1. 28 2. 36
Step-by-step explanation:
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if they
take this
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and remove
all there files
Answer:
if only.....
Step-by-step explanation:
Answer:
okay
Step-by-step explanation:
I checked it out very good
the coordinates of the points A and B are (0,-2) and (3,0), what is the y intercept of the line AB
Answer:
The y-intercept of points A and B is -2.
Step-by-step explanation:
Point A is the y-intercept. You can tell by looking at the x and seeing that it is 0. This means the point is the y-intercept.
Hope this helps!
-Luna
Answer:
-2
Step-by-step explanation:
Linear equations are typically organized in slope-intercept form: \(y=mx+b\) where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis). To solve this question, first, find the slope, then, plug one of the given points into the equation to isolate b.
1) Find the slope (m)
\(m=\frac{y_2-y_1}{x_2-x_1}\) where the given points are \((x_1,y_1)\) and \((x_2,y_2)\)
Plug in the given points (0,-2) and (3,0)
\(m=\frac{0-(-2)}{3-0}\\m=\frac{0+2}{3}\\m=\frac{2}{3}\)
Therefore, the slope of of the line is \(\frac{2}{3}\). Plug this into \(y=mx+b\) as m:
\(y=\frac{2}{3} x+b\)
2) Find the y-intercept (b)
\(y=\frac{2}{3} x+b\)
Plug in one of the given points: (0,-2) or (3,0)
\(0=\frac{2}{3} (3)+b\\0=2+b\\b=-2\)
Therefore, the y-intercept of the line AB is -2.
I hope this helps!
I need help on this math equation.
The calculated mean of the dot plot is 20.5
How to calculate the mean of the dot plotFrom the question, we have the following parameters that can be used in our computation:
The dot plot
The mean of the dot plot is calculated as
Mean = Sum/Count
using the above as a guide, we have the following:
Mean = (12 * 2 + 15 * 5 + 16 * 1 + 18 * 1 + 20 * 2 + 22 * 1 + 25 * 3 + 29 * 2)/16
Evaluate
Mean = 20.5
Hence, the mean of the dot plot is 20.5
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The effect of pH on the action of a certain enzyme
is shown on the accompanying graph.
Rate of Enzyme Action
0 1 2 3 4 5 6 7 8 9 10 11 12 13
pH
What is the domain of this function?
1) 4
2) 4sys 13
3) 20
4 y20
Answer:
4 <(less than or Equal to) y (less than or Equal to) 13
Step-by-step explanation:
What is 5pi 4 radians in degree
Answer: 225°
Step-by-step explanation:
To convert radians to degrees, multiply by 180/π (1 rad = 180° )
(5π/4) * (180/π/) = 225°
HELP!!! Worth 50 points
Answer:
with what
Step-by-step explanation:
I am confused there is no question at all showing
Answer:
Answer:
The correct answer is C - 7.8 < 7 5/6 < 7.9
Step-by-step explanation:
First, convert 7 5/6 to decimal form --> 7.83.
If you don't know how to convert, think about what 5/6 is equal to and put it in decimal form. Add your decimal to the whole number, and there is your answer.
7.83 is in between 7.8 and 7.9, so it must be the answer.
I hope this helps!
Step-by-step explanation:
en una tienda de ropa, la semana pasada, 3 pantalones y 2 abrigos costaban 245€. Esta semana estos artículos tienen un descuento del 20% y 5% respectivamente. Si ahora un pantalón y un abrigo cuestan 100,75€, ¿qué costaba cada artículo antes de la rebaja?
Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37
How to find the original cost?
Let's define the variables:
x = cost of a pant
y = cost of a coat.
First, we know that:
3x + 2y = 245
And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:
0.8x + 0.95y = 100.75
Then we have a system of equations:
3x + 2y = 245
0.8x + 0.95y = 100.75
We can isolate x on the second equation to get:
x = (100.75 - 0.96y)/0.8
x = 125.9 - 1.2y
Replace that in the other equation:
3*(125.9 - 1.2y) + 2y = 245
Solving for y:
3*125.9 - 3*1.2y + 2y = 245
y*(2 - 3*1.2) = 245 - 3*125.9
y = (245 - 3*125.9)/(2 - 3*1.2)
y = 82.94
Then the value of x is:
x = 125.9 - 1.2*82.94
x = 26.37
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Sam has 1/2 of a liter of apple juice, which will fill 1/3 of her glass. How many glasses will 1 liter of apple juice fill?
Answer:
That would be 3 glasses
Step-by-step explanation:
Because if you 1/3 only fits one cup, then you would need 3 glasses to fill the apple juice.
please help!! i have no idea!
Answer:
Step-by-step explanation:
I think that you cut off the leading number in the BD segment 8cm appears to be truncated....
if that number was in the image....
BC would be sqrt(52.3 ^2 + ?.8^2)
if you have BC then
sin(θ)/BC = sin(90)/18.6
Divide. 5x + 3/5x3 - 22x2 - 40x – 15
The answer is N
(Simplify your answer.)
Answer:
\(n=\frac{386x-75}{5}\)
Step-by-step explanation:
Add like terms
\(-35x+3\cdot \frac{3}{5}x-22\cdot \:2x-15=n\)
Add 15 on both sides
\(-35x+\frac{9}{5}x-44x-15+15=n+15\)
Simplify
\(-35x+\frac{9}{5}x-44x=n+15\)
Multiply sides by 5
\(-35x\cdot \:5+\frac{9}{5}x\cdot \:5-44x\cdot \:5=n\cdot \:5+15\cdot \:5\)
Simplify
\(-386x=5n+75\)
Divide both sides
\(\frac{-386x}{-386}=\frac{5n}{-386}+\frac{75}{-386}\)
You will get
\(x=-\frac{5n+75}{386}\)
Then you will solve for n using x
Multiply both sides by 386
\(\frac{386\left(5n+75\right)}{386}=386x\)
Simplify
\(5n+75=386x\)
Subtraction
\(5n+75-75=386x-75\)
Simplify
\(5n=386x-75\)
Divide by 5 to get n
\(\frac{5n}{5}=\frac{386x}{5}-\frac{75}{5}\)
\(n=\frac{386x-75}{5}\)
If Janet randomly chooses a sandwich and a side for lunch, what is the probability that she will have an egg salad sandwich?
If the number of equally likely sample outcomes of a single stage of an experiment is 4, what is the total number of elements in the sample space if the experiment has 3 stages?
Answer
64
Step-by-step explanation:
4 x 4 x 4
so it's like you take 4 and 3 stage = 4 x 4 x 4
Hope it helped !
Have a nice day studying ! Mark me as Brainliest too Ty !
13.10 − Let Mn be the maximum of n independent U(0,1) random variables. a. Derive the exact expression for P(∣Mn−1∣>ε). Hint: see Section 8.4. b. Show that limn→[infinity]P(∣Mn−1∣>ε)=0. Can this be derived from Chebyshev's inequality or the law of large numbers?
This can be derived using Chebyshev's inequality, as Chebyshev's inequality and the law of large numbers are different in nature.
Let M_n be the maximum of n independent U(0, 1) random variables.
To derive the exact expression for P(|M_n − 1| > ε), we need to follow the below steps:
First, we determine P(M_n ≤ 1-ε). The probability that all of the n variables are less than 1-ε is (1-ε)^n
So, P(M_n ≤ 1-ε) = (1-ε)^n
Similarly, we determine P(M_n ≥ 1+ε), which is equal to the probability that all the n variables are greater than 1+\epsilon
Hence, P(M_n ≥ 1+ε) = (1-ε)^n
Now we can write P(|M_n-1|>ε)=1-P(M_n≤1-ε)-P(M_n≥1+ε)
P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n.
Thus we have derived the exact expression for P(|M_n − 1| > ε) as P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n
Now, to show that $lim_{n\to\∞}$ P(|M_n - 1| > ε) = 0 , we can use Chebyshev's inequality which states that P(|X-\mu|>ε)≤{Var(X)/ε^2}
Chebyshev's inequality and the law of large numbers are different in nature as Chebyshev's inequality gives the upper bound for the probability of deviation of a random variable from its expected value. On the other hand, the law of large numbers provides information about how the sample mean approaches the population mean as the sample size increases.
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Write the equation of a vertical hyperbola centered at (0,0) and asymptotes with slopes -3/5 and 3/5. Hint: The slopes will help you know the 'a' and 'b' value. Use trial and error if needed!
30 PTS!!!!
This hyperbola is vertically oriented, centered at the origin (0,0), and has asymptotes with slopes of -3/5 and 3/5.
How to solveThe slopes of the asymptotes for a hyperbola centered at the origin are given by ±b/a.
Given the slopes are ±3/5, we can deduce that b=3 and a=5.
For a vertical hyperbola, the equation is given by \(y^2/a^2 - x^2/b^2 = 1.\)
Plugging in our values for a and b, the equation of the hyperbola is \(y^2/25 - x^2/9 = 1.\)
This hyperbola is vertically oriented, centered at the origin (0,0), and has asymptotes with slopes of -3/5 and 3/5.
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Can someone help? Thanks :D
Answer:
\(y\leq -x+4\)
Step-by-step explanation:
The first thing that we can do is look at the equation of the line and then worry about the inequality afterwards.
This line has a y-intercept of 4 and a slope of -1.
This means that the equation of this line would be \(y=-x+4\)
Now that we have the equation of the line, we just need to determine which inequality sign to use.
As the shaded region is BELOW the line, we will use a less than (<) sign.
As the line is fully shaded, I can only assume that it is meant to include the line, which would mean that \(y\leq -x+4\) would be the equation for this inequality.
A parallelogram has height 9cm and area 45cm? What
is the length of its base?
Answer: Firstly the area of parallelogram is. = b×h. so value of base is 9cm and height is 45cm . So area is equal to. base×height. = 9×45= 405² cm.
405cm²
the height of a can of coke is in 11 cm and the radius is 6 cm calculate the total surface area of the can in cm^3 assuming that the can is a closed cylinder
The total surface area of the can of coke is 641.143 cm².
What is the total surface area of the can?A can of coke has the shape of a cylinder. A cylinder is a three-dimensional object that is made up of a prism and two circular bases. The total surface area of a closed cylinder can be determined by adding the area of all its faces.
Total surface area of the closed cylinder = 2πr(r + h)
Where:
r = radius = 6cm h = height = 11 cm r = pi = 22 / 7Total surface area of the closed cylinder = (2 x 22/7 x 6) x (6 + 11)
(264 / 7) x (17)
37.714 x 17 = 641.143 cm²
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Suppose there are five processes, their arrival time and running time are listed as follows. Adopt FCFS and SJF, respectively, give the schedule order and average waiting time. (12) 1) Give the schedule order of FCFS. (3) 2) Compute the average waiting time of FCFS. (3) Give the schedule order of SJF. (3) 3) 4) Compute the average waiting time of SJF. (3) Process Arrival time Running time Pl 0 3 P2 3 10 P3 4 6 P4 5 1
Average waiting time for FCFS: 8.75
SJF schedule order: Pl -> P4 -> P3 -> P2Average waiting time for SJF: 4.75
To solve this scheduling problem using FCFS (First-Come, First-Served) and SJF (Shortest Job First) algorithms, let's go step by step:
Schedule order for FCFS:
The FCFS algorithm schedules processes based on their arrival time. So, the schedule order for FCFS is as follows:
Pl -> P2 -> P3 -> P4
Average waiting time for FCFS:
To compute the average waiting time for FCFS, we need to calculate the waiting time for each process and then take the average.
Process | Arrival Time | Running Time | Waiting Time
Pl | 0 | 3 | 0
P2 | 3 | 10 | 3
P3 | 4 | 6 | 13
P4 | 5 | 1 | 19
Average waiting time = (0 + 3 + 13 + 19) / 4 = 8.75
Therefore, the average waiting time for FCFS is 8.75.
Schedule order for SJF:
The SJF algorithm schedules processes based on their running time. The process with the shortest running time gets executed first. If multiple processes have the same running time, the process with the earliest arrival time is selected first. The schedule order for SJF is as follows:
Pl -> P4 -> P3 -> P2
Average waiting time for SJF:
To compute the average waiting time for SJF, we need to calculate the waiting time for each process and then take the average.
Process | Arrival Time | Running Time | Waiting Time
Pl | 0 | 3 | 0
P4 | 5 | 1 | 3
P3 | 4 | 6 | 6
P2 | 3 | 10 | 10
Average waiting time = (0 + 3 + 6 + 10) / 4 = 4.75
Therefore, the average waiting time for SJF is 4.75.
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Select the correct answer
The graph below represents the following system of Inequalities.
which point (x,y) satisfies the given system of inequalities?
please help :)
Answer:
A
Step-by-step explanation:
Basically we want to find the point that lies in the shaded area and the only one that does so is (2,3).
Answer: A
Step-by-step explanation:
we gotta find the line in the shaded area and
acording to the question the answer must be (2,3).
Hope this helps :)
A light bulb consumes 11700 watt-hours in 3 days and 6 hours. How many watt hours does it consume per day?
Answer:
3600 watt-hours consumed per day.
Step-by-step explanation:
First we'll want to find how many hours are in 3 days and 6 hours.
3 x 24 = 72 + 6 = 78
78 hours is 3 days and 6 hours.
We then divide 11700 by 78 to find out how many watt-hours it will consume per hour.
11700 / 78 = 150
Now that we know how many watt-hours it will consume per hour, we can multiply it by 24 to find out how many it will consume in a day.
150 x 24 = 3600
Find X round to the nearest tenth.
Answer:
x= 31.8
Step-by-step explanation:
22/sin(75) = 12/sin(x)
or, 22/(12×sin(75)) = 1/sin(x)
or, sin(x) = 12×sin(75)/22
or, x = arcsin(12×sin(75)/22)
or, x = 31.8 (rounded to the nearest tenth)
the weights of canned hams processed at henline ham company follow the normal distribution, with a mean of 9.20 pounds and a standard deviation of 0.25 pound. the label weight is given as 9.00 pounds. a. what proportion of the hams actually weigh less than the amount claimed on the label
In reality, 21.19% of the hams weigh 21.19% less than is stated on the label.
u=9.2,\(\sigma= 0.25\)
Requrired proportion =P(X<a)
\(=P(\frac{X-\mu}{\sigma} < \frac{9-9.2}{0.25})\\= P(z < 0.8)=21.19 \%\\=21.19\%\)
when b(i) the mean is increased
Required Probability= P(X<a)
\(=P(\frac{X-\mu}{\sigma} < \frac{9-9.25}{0.25})\\= P(z < -1)=0.1587\\=0.1587\)
when still is decreased
Required Probability = P(X<a)
\(=P(\frac{X-\mu}{\sigma} < \frac{9-9.2}{0.25})\\= P(z < -1.333)=0.0912\\=0.0912\)
Probability is a branch of mathematics that deals with the study of uncertainty and randomness. It involves the analysis of the likelihood of an event occurring, based on the available information and past experiences. Probability can be expressed as a number between 0 and 1, where 0 means an event is impossible and 1 means it is certain to occur.
Probability has a wide range of applications in various fields such as statistics, economics, physics, engineering, and finance. It is used to model complex systems, make predictions, and solve problems involving uncertain events. For example, in gambling, probability is used to calculate the odds of winning or losing, while in finance, it is used to evaluate investment risks and returns.
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Complete Question:-
The weights of canned hams processed at Henline Ham Company follow the normal distribution, with a mean of 9.20 pounds and a standard deviation of 0.25 pound. The label weight is given as 9.00 pounds. a. What proportion of the hams actually weigh less than the amount claimed on the label? (Round your answer to 2 decimal places.)
Audrey is planning to drive from City X to City Y. The scale drawing below shows the distance between the two cities with a scale of ¼ inch = 24 miles.
City X
City Y
3 in
The actual distance between the two cities is 288 miles.
What is the actual distance?A scale drawing is a smaller version of a larger image / city. The scale drawing is reduced by a constant ratio. This means that the scale drawing of the two cities would be smaller than the actual cities.
The scale is used to keep the proportion of the dimensions between the scale drawing and the original diagram similar. This means that the scale drawing of the two cities would be smaller than the actual cities.
The actual distance between the two cities = (3 x 24) ÷ 1/4
= 3 x 24 x 4 = 288 miles
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a coal company wants to determine a 90% confidence interval estimate for the average daily tonnage of coal that it mines. assuming the company reports that the standard deviation of daily output is 197 tons, how many days should it sample so that the margin of error will be 39.1 tons or less?
100 days should it sample so that the margin of error will be 39.1 tons or less
What is margin error?
The margin of error is a statistic that describes how much random sampling error there is in survey results. One should have less faith that a poll's findings would accurately reflect those of a population census the higher the margin of error.
The margin of error can be stated as
ME = SE⋅cv where cv = z.90 because this corresponds to a two tail test so we need the z value at 90%.
We can now use a look up table to find the corresponding z value to use which should be 1.96
Now
SE = σ/√n leading to
39.1 = (197/√n)⋅(1.96).
Now we just need to solve for n
√n = (197/39.1)⋅(1.96) = 10
n = 10^2
n = 100
So, we probably need to sample for about 100 days if we want be within that margin of error.
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Can somebody explain and give examples on questions like
What is divisible by this number ?
Answer:
more than one digits.
Step-by-step explanation:
There are some simple divisibility rules to check this: A number is divisible by 2 if its last digit is 2, 4, 6, 8 or 0 (the number is then called even) A number is divisible by 3 if its sum of digits is divisible by 3. A number is divisible by 4 if the number consisting of its last two digits is divisible by 4
Which situations would be represented with a positive number? Check all that apply.
The temperature outside is 34°F.
The Dead Sea is 1,349 feet below sea level.
Nicole lost 2 pounds last month.
Sebastian owes his friend $4
A football team gains 11 yards on a play.
Long Island Sound is at sea level.
Answer:
A and e
Step-by-step explanation: