Answer:
if n is even, then n/2 will be an even and 3n + 1 will be an odd.
if n is odd, then n/2 will be odd and 3n + 1 will be even.
Step-by-step explanation:
hope this helps you
Find the Mode of the following set of data. (Round to the nearest whole number.)
1, 1, 3, 0, 7, 2, 0, 3, 1, 6, 8, 1
Answer:
1
Step-by-step explanation:
Answer:
Step-by-step explanation:
The mode is the number which occurs most frequently in the data set.
In this question, 1 appears the most frequently meaning that the correct mode is is 1.
Which angle number represents an angle vertical to ZUXR?
T
X1
R
3/2
S
Y
4
5
U
W
Answer:
angle number 1
Step-by-step explanation:
An angle that is vertical to <UXR is an angle that is directly opposite to <UXR, which share the same vertex, X, as <UXR.
From the diagram given, the angle number that shares the same vertex as <UXR and is directly opposite to <UXR is angle number 1 (<SXT).
<1 = <UXR
In a scale model of a boat, 1 inch represents 9 feet.
Answer:
1. 90 feet
2. 7 inches
Step-by-step explanation:
1. 1 inch is 9 feet right 10(9)= 90 feet
2. 1 inch is 9 feet right 63(9)= 7 inches
A car is traveling at a rate of 108 kilometers per hour. What is the cars rate in meters per second? How many meters will the car travel in 20 seconds?
Answer:
\(\frac{30meters}{second}\)
600meters
Step-by-step explanation:
Use conversion factors that represent 1. You can cross cancel wods just like numbers.
\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)
\(\frac{108000meters}{3600seconds}\)
\(\frac{30meters}{second}\)
\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)
600 meters
Helping in the name of Jesus.
A rectangle is 2 meters wide and 6 times as long as it is wide. Find the area and perimeter
PERIMETER
Answer:
Answer is 28 m
Step-by-step explanation:
Breadth= 2m
Length= 2X6m
= 12m
Perimeter of a rectangle = 2X (Length+ Breadth)
= 2X (2+12)
= 2X14
= 28m
AREA
Answer:
Answer is 24 m
Explanation:
Length= 12
Breadth= 2
Area of a rectangle= Length X Breadth
= 12X2
= 24 sq. m
Hope it helps ;)
Please mark as brainliest!
Kelly rolled scores of 254, 202, 284, 269, 151, 258 and 202 in a recent tournament. What was the mean, median and mode of her scores?
Answer:
See below!
Step-by-step explanation:
Data:254, 202, 284, 269, 151, 258, 202
Mean:The sum of data divided by the number of data is called mean.Mean of the data:
\(\displaystyle Mean= \frac{Sum \ of \ data}{number \ of \ data} \\\\Mean = \frac{254+202+284+269+151+258+202}{7} \\\\Mean=\frac{1620}{7} \\\\\boxed{Mean = 231.4}\)
Median:The middle value of the data is median.Median of data:
Arrange the data in increasing order.
151, 202, 202, 254, 258, 269, 284
The middle value = 254
So,
Median = 254Mode:The frequently occurring value in the data is known as mode.Mode in data:
The mode, here, is 202. (occurring 2 times.)
So,
Mode = 2\(\rule[225]{225}{2}\)
A message is coded into the binary symbols 0 and 1 and the message is sent over a communication channel.
The probability a 0 is sent is 0.4 and the probability a 1 is sent is 0.6. The channel, however, has a random error that
changes a 1 to a 0 with probability 0.1 and changes a 0 to a 1 with probability 0.2. Show your work below.
a. What is the probability a 1 is received?
b. If a 1 is received, what is the probability a 0 was sent?
Answer:
A: the probability that a 1 is received is 0.56.
B: the probability that a 0 was sent given that a 1 is received is (2/25) * (1 - P(0 sent)).
Step-by-step explanation:
To solve this problem, we can use conditional probabilities and the concept of Bayes' theorem.
a. To find the probability that a 1 is received, we need to consider the two possibilities: either a 1 was sent and remained unchanged, or a 0 was sent and got flipped to a 1 by the random error.
Let's denote:
P(1 sent) = 0.6 (probability a 1 is sent)
P(0→1) = 0.2 (probability a 0 is flipped to 1)
P(1 received) = ?
P(1 received) = P(1 sent and unchanged) + P(0 sent and flipped to 1)
= P(1 sent) * (1 - P(0→1)) + P(0 sent) * P(0→1)
= 0.6 * (1 - 0.2) + 0.4 * 0.2
= 0.6 * 0.8 + 0.4 * 0.2
= 0.48 + 0.08
= 0.56
Therefore, the probability that a 1 is received is 0.56.
b. If a 1 is received, we want to find the probability that a 0 was sent. We can use Bayes' theorem to calculate this.
Let's denote:
P(0 sent) = ?
P(1 received) = 0.56
We know that P(0 sent) + P(1 sent) = 1 (since either a 0 or a 1 is sent).
Using Bayes' theorem:
P(0 sent | 1 received) = (P(1 received | 0 sent) * P(0 sent)) / P(1 received)
P(1 received | 0 sent) = P(0 sent and flipped to 1) = 0.4 * 0.2 = 0.08
P(0 sent | 1 received) = (0.08 * P(0 sent)) / 0.56
Since P(0 sent) + P(1 sent) = 1, we can substitute 1 - P(0 sent) for P(1 sent):
P(0 sent | 1 received) = (0.08 * (1 - P(0 sent))) / 0.56
Simplifying:
P(0 sent | 1 received) = 0.08 * (1 - P(0 sent)) / 0.56
= 0.08 * (1 - P(0 sent)) * (1 / 0.56)
= 0.08 * (1 - P(0 sent)) * (25/14)
= (2/25) * (1 - P(0 sent))
Therefore, the probability that a 0 was sent given that a 1 is received is (2/25) * (1 - P(0 sent)).
A message is coded into the binary symbols 0 and 1 and the message is sent over a communication channel. The probability a 0 is sent is 0.4 and the probability a 1 is sent is 0.6. The channel, however, has a random error that changes a 1 to a 0 with probability 0.2 and changes a 0 to a 1 with probability 0.1. (a) What is the probability a 0 is received? (b) If a 1 is received, what is the probability a 0 was sent?
Help on finding area!
Answer:
b is your answer, 366.7
Step-by-step explanation:
You can split this into 2 shapes to find the area, a rectangle and a circle (split into 2 parts on either end of the rectangle). The area of the rectangle inside is the easiest part, so let's start there.
Area of a rectangle = length x width = 18 x 13 = 234. We'll come back to this number in the last step.
The area of a circle = (pi)(r)^2 = (pi) (radius)(radius).
The radius = 1/2 of the diameter, and the diameter is 13, so the radius = 6.5
We'll use 3.14 for pi, since the answers are in decimals, not fractions.
area = (3.14)(6.5)(6.5) = 132.665
------------------------------
Now add the area of the circle to the area of the rectangle.
234 + 132.665 = 366.665 , rounded to 366.7 on your question.
Please let me know if you have questions.
determine the unknown values R and W in the figure below
Answer:
\(0.8 = \frac{24}{x} \\ x = 24 \div 0.8 \\ = 30 \\ 0.5 =30 \div y \\ y = 30 \div 0.5 \\ = 60\)
. Tommy has 9 times as many sets of
cards as Eric. Eric has 3 sets of cards.
Write a multiplication equation that
represents the situation.
Answer:
3x9=27
Step-by-step explanation:
i don't know if this is what you meant
The map shows an obstacle course at a school fair. The units are given in yards.
What is the total distance of
the obstacle course?
? yards
Start
(-40, -10)
Tire
Race
(-40, -30)
Finish
(10, 20)
Monkey
Bars
(40,20)
Rope
Climb
(40,-30)
The total distance of the obstacle course can be calculated by finding the distance between each pair of consecutive points and adding them up. The distance between two points (x1, y1) and (x2, y2) can be calculated using the formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2).
Using this formula, we can calculate the distances between each pair of consecutive points as follows:
Start to Tire Race: distance = sqrt((-40 - (-40))^2 + (-30 - (-10))^2) = 20 yards
Tire Race to Rope Climb: distance = sqrt((40 - (-40))^2 + (-30 - (-30))^2) = 80 yards
Rope Climb to Monkey Bars: distance = sqrt((40 - 40)^2 + (20 - (-30))^2) = 50 yards
Monkey Bars to Finish: distance = sqrt((10 - 40)^2 + (20 - 20)^2) = 30 yards
Adding up all these distances, we get a total distance of 20 + 80 + 50 + 30 = 180 yards for the obstacle course.
Find x. Round your answer to the nearest tenth of a degree.
The measure of angle x to the nearest tenth of a degree is 51.8°
What is the measure of angle x?The figure in the image is a right triangle.
From the image;
Angle x = ?Opposite to angle x = 11 unitsHypotenuse = 14 unitsTo solve for the measure of angle x, we use one of the six (6) trigonometric ratio.
Sine = Opposite / Hypotenuse.
Plug in the given values and solve for angle x.
sin( x ) = 11 units / 14 units.
Take the sine inverse.
x = sin⁻¹( 11/14 )
x = 51.7867
x = 51.8 degrees.
Therefore, the value of x is 51.8 degrees.
Learn more about trigonometric ratio here: brainly.com/question/28016662
#SPJ1
what is the output when the input is (n) please help!
Subtract the output from the inputs and you find that the output is the input - 4
Output = n - 4
Help please! Show all your work.
Answer:
If y and x have a proportional relationship, then we can write an equation of the form y = kx, where k is a constant of proportionality.
To find the value of k, we can use the given values of y and x:
y = kx
24 = k(12)
k = 2
Now that we know k, we can use the equation to find the value of y when x=16:
y = kx
y = 2(16)
y = 32
Therefore, when x=16, y=32.
f(x) = x +4
g(x) = 3x^2 – 7
Find (f.g)(x)
Answer:
(f*g)(x) = 3x³+12x²-7x-28
Step-by-step explanation:
What (f*g)(x) means is that we multiply f(x) by g(x):
f(x) = x+4
g(x) = 3x²-7
(f*g)(x) = f(x)*g(x) = (x+4)(3x²-7) = (x)(3x²)+(x)(-7)+(4)(3x²)+(4)(-7) = 3x³-7x+12x²-28 = 3x³+12x²-7x-28
A delivery driver makes $78 each day that he works and makes approximately $10 in tips for each delivery that he makes. If he wants to make at least $238 in one day, at least how many deliveries does he need to make?
Answer:
16 deliveries
Step-by-step explanation:
We can model the situation using a linear inequality. Since we're told that the driver makes $10 in tips for each delivery.Thus, this is the slope.Since he makes $78 each day, this number is a constant and he makes it even when no deliveries are made. Thus, this is the y-interceptSince he wants to make at least #238, we want to find a value of d (number of deliveries) which would cause his wages to equal #238. Thus, we can use the following equation to find:238 ≤ 10d + 78
160 ≤ 10d
16 ≤ d
Thus, he needs to make at least 16 deliveries to make at least $238 in one day. Any less than 16 deliveries will cause him to fall short of his goal and any more than 16 deliveries will cause him to exceed his goal.
The pressure resulting from a force of 50 N exerted over an area of 5 m2 is (2
marks)
Answer:
\(pressure = \frac{force}{area} \\ = \frac{50}{5} \\ = 10 \: N {m}^{ - 2} \)
A 2 meter television camera at ground level is filming the lift-off of a space shuttle at a point 750 meters from the launch pad. The camera’s angle of elevation to the shuttle is 32° at this specific time . Find the height of the shuttle.
To find the height of the shuttle, we can use trigonometry and the concept of similar triangles. The height of the shuttle is approximately 468.675 meters.
Let's assume that the height of the shuttle is represented by 'h' meters. From the information given, we know that the distance between the camera and the launch pad is 750 meters, and the angle of elevation from the camera to the shuttle is 32 degrees.
Using trigonometry, we can set up the following equation:
tan(32°) = h / 750
To find the value of h, we can rearrange the equation:
h = tan(32°) * 750
Using a calculator, we can find the value of tan(32°) ≈ 0.6249.
Now we can calculate the height of the shuttle:
h ≈ 0.6249 * 750
h ≈ 468.675 meters
Therefore, the height of the shuttle is approximately 468.675 meters.
For more such questions on trigonometry
https://brainly.com/question/24349828
#SPJ8
Water leaking from a local reservior at the rate of 500 gallons per hour. A. none of these B. quadratic C. exponential D. linear
Answer:
Linear
The 500 hundred gallons is adding up by the hours. Linear- first difference.
A fancy restaurant put dishes of butter at each table. They divided 4/5 of a kilogram of butter evenly to put 1/5 of a kilogram in each dish. How many butter dishes did they fill?
Answer: 4
This problem requires basic division. If the restaurant divided 4/5 kg of butter with 1/5 kg on each dish, you would need to compute 4/5 divided by 1/5.
4/5 ÷ 1/5
Using the "KFC" method, or Keep, Change, Flip, you would keep the first number (in this case, 4/5), change the division sign, and flip the fraction to 5/1, or 5. We now have this:
4/5 x 5
To compute this equation, you must multiply the numerators of both of the numbers together. In this case, you would compute (4x5)/5, resulting with 20/5, or 4.
You can check this answer by re-multiplying the numbers together. 1/5 kg of butter per dish, multiplied by the total amount of dishes, 4, you would result in the original 4/5 kg of butter.
Hope this helps!
you’re making your schedule for next semester you have 13 choices for your math class six choices for your English class nine choices for your communications class and 11 choices for your elective how many different schedules are possible
Answer:
7,722
Step-by-step explanation:
You would need to multiply the 4 numbers above together to get the final number. That is basically it.
I would recommend you to write on a paper for smaller numbers and writing each combination for the choices.
Mai is filling her fish tank. Water flows into the tank at a constant rate.
How many minutes will it take to fill the tank with 40 gallons of water if 1 min is 1.6 gallons of water?
Answer:
It will take 25 minutes to fill the fish tank.
Step-by-step explanation:
1.6 gallons a minute is the unit rate. So in order to find your answer divide 40 by 1.6.
Answer
it will take 25 mins
Step-by-step explanation:
you divide 40 by 1.6
Help me pls 20 POINTS
Answer:
bottom =80m^2
Side =50m^2
triangle = 3 ×8 ×5
for the question 9(3x-1)=0 order the steps below when solving for x
write the fraction in lowest terms
distribute 9 to each term on the left in parentheses
add 9 to both sides
divide both sides by 27
Answer:
1. Distribute the 9
2. Add 9 to both sides
3. Divide both sides by 27
4. Write the fraction in lowest terms
Step-by-step explanation:
Generally for these problems we would first distribute the 9 and that is indeed going to be the first step in this equation, although one thing to note is it's really not necessary, since you could divide both sides by 9, and 0/9 is still 0, so it kind of simplifies the problem.
From that first step we would get:
\(27x-9=0\)
From here we want to isolate the "x" variable, which we want to achieve by removing any constants on it's side, in this case -9, and then remove any coefficients in this case 27. We usually first start by removing any constants on the variables side which we can achieve by subtracting or adding a value, depending on the sign. The important thing to note is we want to do the inverse operation, essentially what cancels it out. So to cancel out minus 9 we simply add 9 to both sides to cancel out the minus 9 and to maintain equality.
\(27x=9\)
Now from here we want to remove coefficients which we do by dividing, since the coefficient is simply multiplying, so the inverse is division. In this case we want to divide by 27, to cancel out the multiplication of 27.
\(x=\frac{9}{27}\)
From here we can divide both the numerator and denominator by 9 to simplify the fraction.
\(x=\frac{1}{3}\)
What is the meaning of "A group G whose order is a prime number has only two subgroups, G itself and 1 = {1}"?
If G is not a cyclic group, then it does not have a subgroup of order p. Conversely, if G is cyclic, then it has a unique subgroup of order p.
The statement "A group G whose order is a prime number has only two subgroups, G itself and 1 = {1}" means that if G is a group with a prime number of elements, then the only subgroups of G are the trivial subgroup {1} and the group G itself.
In other words, there are no other proper subgroups of G besides these two.
The statement "A group G whose order is (p-1) where p is a prime number has a subgroup of order p if and only if G is cyclic" means that if G is a group with (p-1) elements, where p is a prime number, then G has a subgroup of order p if and only if G is a cyclic group.
In other words, if G is not a cyclic group, then it does not have a subgroup of order p. Conversely, if G is cyclic, then it has a unique subgroup of order p.
for such more question on prime number
https://brainly.com/question/18187355
#SPJ11
bonsoir pouvez vous m'aidez
Answer:
Treatment for HIV/AIDS involves taking highly effective medicines called antiretroviral therapy (ART) that work to control the virus [1][2]. ART involves taking a combination of HIV medicines (called an HIV regimen) to suppress the virus and stop the progression of the disease [1]. The goal of treatment is to reduce the amount of HIV in the body and keep it at a low, undetectable level to help prevent further damage to the immune system and reduce the risk of transmitting HIV to others.
e
B
0
14. The table shows the number of inches of
rain over five months. What would be an
appropriate display of the data? Explain.
(Lesson 2)
Month
Number
of Inches
of Rain
Jan. Feb. Mar.
1.5
2.2
3.6
Apr.
5.3
May
4.8
The graph of the given function is attached.
Given is a function for the rainfall in 5 months in inches.
We need to display the data,
So, as we can see that the data is not showing any proportion or pattern,
So, it can be displayed as a line chart.
Hence the chart is attached for the function.
Learn more about line chart click;
https://brainly.com/question/29359235
#SPJ1
Please answer this correctly
Answer:
50 km
Step-by-step explanation:
As the figures are given similar ,
56/v = 84/75
v = 56 × 75/84
v = 50 km
Answer:
v = 50
Step-by-step explanation:
The trapezoids are similar, so set up a proportion like so:
\(\frac{56}{v} =\frac{84}{75}\)
→Cross multiply:
\(\frac{4200}{84v}\)
→Divide 4200 by 84:
v = 50
Correct0It takes Kim 7 hours to proof a chapter of Hawkes Learning Systems Introductory Algebra book and it takes Harding 2 hours. How long would it take them workingtogether? (Round your answer to two decimal places.)
ANSWER
1.56 hours
EXPLANATION
If Kim reads 1 chapter in 7 hours, in 1 hour she would read,
\(\frac{1chapter}{7h}=\frac{1}{7}chapter/hour\)Similarly, if Harding reads the same chapter in 2 hours, then in 1 hour he will read,
\(\frac{1chapter}{2h}=\frac{1}{2}chapter/hour\)If they work together, in 1 hour they would read,
\(\frac{1}{7}chapter+\frac{1}{2}chapter=\frac{2+7}{2\cdot7}chapter=\frac{9}{14}chapter\)If they read together 9/14 of a chapter in 1 hour, then they will read 1 full chapter in,
\(1chapter\cdot\frac{1h}{\frac{9}{14}chapter}=\frac{14}{9}h\approx1.56h\)Hence, if they work together, they will read the chapter in 1.56 hours.
Can you find the surface area of a rectangular prism 2,3,4
Answer:
48
Step-by-step explanation:
4*2*3 for the 4 flaps
2*4*3 for the 2 tops
(4*2*3) + (2*4*3) = 48
Answer:
52 square inches
Step-by-step explanation:
to find the surface area of a rectangular prism the formula is
S.A.=2(l*w+l*h+w*h)
2(4*3+4*2+3*2)
=52 square inches
here l is length w is width and h is height