Answer:
5.25
Step-by-step explanation:
21/2=10.5
10.5/2=5.25
If x > 0, what is the difference of
\(6x \sqrt{14x} - 5 \sqrt{56 {x}^{3} } \)in simplest radical form?
Answer:
\(\longmapsto \sf \: \: - 14x \cdot\sqrt{14x}\)
Step-by-step explanation:
\( \sf \: if \: x > 0 \)
\( \sf 6x \sqrt{14x} - 5 \sqrt{56 {x}^{3} } \)
\( \sf Let's \: solve \: for \sqrt{56 {x}^{3} } \: first, \\\longmapsto \sf \sqrt{56 {x}^{3} } = \sqrt{14 \times 4 {x}^{2} \times x } \\ \sf \longmapsto \sqrt{56 {x}^{3} } = 4x \sqrt{14x} \)
Substituting above value in given equation,
\(\longmapsto \sf 6x \sqrt{14x} - 5 \sqrt{56 {x}^{3} } \\ \longmapsto\sf 6x \sqrt{14x} - 5 \times 4x \sqrt{14x} \\ \longmapsto \sf \: 6x \sqrt{14x} - 20x \sqrt{14x} \\\longmapsto \sf \: \sqrt{14x}(6x - 20x) \\ \longmapsto \sf \: \: - 14x \cdot\sqrt{14x}\)
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The likelihood of something occurring is measured in terms of probability, which is based on ______.
The possibility that something will occur, prior measures, and conventional objective measurements all influence the likelihood that something will occur.
What is probability and what types are there in total?
The study of probability is a field of mathematics that determines the probability of an event occurring, which is represented by a number between 1 and 0. When an event has a probability of 1, it can be said to be a certainty. For instance, if the coin lands flat, the likelihood that it will come up "heads or tails" is 1. There are no other possible outcomes. A probability of .5 indicates that there is an equal chance that an event will occur or not.
Probability can be quantitatively represented in the simplest form as follows: the total number of possible outcomes multiplied by the ratio of the number of occurrences of a targeted event divided by the sum of the occurrences and failures of occurrences:
P(a) = P(a)/[P(a) + P(b)]
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Need help ASAP 25 points
Answer:
The volume is 24 cubic cenimeters. Can i be brainlyest? Lol i know i spelled it wrong :l
Step-by-step explanation:
the inside diameter (in inches) of 50 lightweight snaps used in assembling computer cases are measured and sorted with the following resulting data: 0.0395 0.0443 0.0450 0.0459 0.0470 0.0485 0.0486 0.0487 0.0489 0.0496 0.0499 0.0500 0.0503 0.0504 0.0504 0.0516 0.0529 0.0542 0.0550 0.0571 (a) compute the sample mean and sample variance. (b) find the sample upper and lower quartiles. (c) find the sample median. (d) construct a box plot of the data. (e) find the 5th and 95th percentiles of the inside diameter.
(a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, (d) boxplot is attached, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.
(a) The mean = sum of all values divided by the number of values
μ = (x1 + x2 + ..... + xn)/n
n = 20
μ = (0.0395 + 0.0443+ 0.0450 + ... + 0.0550 + 0.0571)/20
μ = 0.9878/20
μ = 0.0494
(b) Variance = sum of squared deviations from the mean divided by n-1
s² = {(x1-μ)² + (x2-μ)² + .... (xn - μ)²)/(n-1)
s² = {(0.0395-0.0494)² + (0.0443-0.0494)² + .... +(0.0571-0.0494)²}/19
s² = 0.000016
(b) The minimum is 0.0395 and the maximum is 0.0571.
since the number of data is even, the median will be the average of two middle values.
M = Q2 = (0.0496+0.0499)/2 = 0.04975
Now, the first quartile is the median of the data values below the median
so Q1 = (0.0470+0.0485)/2 = 0.04775
And third quartile will be the median of the data values above the median
Q3 = (0.0504+0.0516)/2 = 0.0510
(c) Since we know that the number of data values is even, the median will be the average of the two middle values of the data set
so M = (0.0496+0.0499)/2
or M = 0.04975
(d) The boxplot is at maximum and minimum values. It will start in Q1 and end in Q3 and has a vertical line at the median or Q2.
The boxplot is attached.
(e) The 5th percentile means 0.05(n+1)th data value
or = 0.05(20+1) = 1.05th data value
5th percentile = 0.0550 + 0.05(0.0443-0.0395) = 0.03974
similarly,
95th percentile = 0.0550 + 0.95(0.0571-0.0550) = 0.056995
Therefore, (a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.
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an analyst believes that protein powder builds muscle mass while long-distance running reduces muscle mass. she collects data on subjects (pounds of muscle mass, ounces of protein powder, and hours of running) and runs a regression. what is the dependent variable?
The dependent variable is Muscle mass.
An analyst believes that protein powder builds muscle mass while long-distance running reduces muscle mass.
She collects data on subjects (pounds of muscle mass, ounces of protein powder, and hours of running) and runs a regression.
Given information,
We get that muscle mass depends positively on protein powder and muscle mass depends negatively on long-distance running.
This implies that Muscle mass is a dependent variable.
Therefore, The correct option is option B.
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Incomplete Question:
an analyst believes that protein powder builds muscle mass while long-distance running reduces muscle mass. she collects data on subjects (pounds of muscle mass, ounces of protein powder, and hours of running) and runs a regression. what is the dependent variable?
Intercept.Muscle mass.Protein powder.Running hours.plzz show workings while giving the answer
Answer:
\(\huge\boxed{\sf 4\ minutes\ 1.5\ seconds}\)
Step-by-step explanation:
3 minutes 59.1 seconds = (3*60) + 59.1 seconds = 180 + 59.1 seconds
=> 239.1 seconds
\(\rule[225]{225}{2}\)
4 minutes 3.8 seconds = (4*60) + 3.8 seconds = 240 + 3.8 seconds
=> 243.8 seconds
\(\rule[225]{225}{2}\)
4 minutes 1.6 seconds = (4*60) + 1.6 seconds = 240 + 1.6 seconds
=> 241.6 seconds
\(\rule[225]{225}{2}\)
Mean = Sum of data / No. of Data
Mean = 239.1 + 243.8 + 241.6 / 3
Mean = 724.5 / 3
Mean = 241.5 seconds
In Minutes and Seconds:
= 241.5 / 60 = 4.025 minutes
= 4 minutes + 0.025 minutes
= 4 minutes + (0.025 * 60) seconds
= 4 minutes 1.5 seconds
\(\rule[225]{225}{2}\)
Hope this helped!
~AH1807
Use substitution to show that 9+6(10-7x) is equivalent to 69-42x.
Answer:
hope this helps
Step-by-step explanation:
9+6(10-7x)
=9+60-42x
=69-42x
6 agents can sell 333 cars in 3 months.
At this rate, how many cars can 3
agents sell in 6 months?
Answer:
333 cars
Step-by-step explanation:
Assuming among 6 agents, the working efficiency is the same and constant. Fixing number of agents:
6 agents can sell 333 cars in 3 months.
=> 6 agents can sell 333/3 cars in 3/3 month.
=> 6 agents can sell 111 cars in 1 month.
Fixing number of months:
=> 6/2 agents can sell 111/2 cars in 1 month.
=> 3 agents can sell 111/2 cars in 1 month.
Then considering that 3 agents worked in 6 months:
=> 3 agents can sell 6 x 111/2 cars in 6 x 1 months.
=> 3 agents can sell 333 cars in 6 months.
у is directly proportional to the square route of x
If y = 32 when x = 64 find,
x when y = 48
. A pitcher’s mound on a women’s softball field is 43 feet from home plate and the distance between the bases is 60 feet. How far is the pitcher’s mound from first base?
Answer:
42.43 ft
Step-by-step explanation:
Please find attached an image of the softball pitch
h² = p² + f² -2x p×f×cos45
h² = 43² + 60² - 2x (43)(60) x 0.7071
h² = 1849 + 3600 - 3648.636
h² = 1800.364
h = √1800.364
h = 42.43 feet
in how many ways can you move the token if in addition you're also allowed to move the token diagonally (in one move you can also move it to the adjacent right up square).
The token has eight possible moves: four cardinal directions (up, down, left, right) and four diagonal directions (left-up, right-up, left-down, right-down).
If we consider a token positioned on an arbitrary square of a grid, and we are allowed to move the token diagonally to the adjacent right-up square, we can determine the number of possible moves.
Let's assume the token is on a square in a grid, and let's label the directions as follows:
```
1 2 3
4 T 5
6 7 8
```
where T represents the token, and the numbers 1-8 represent the possible directions the token can move.
In this scenario, the token can move in the following ways:
1. Move left (direction 4)
2. Move right (direction 5)
3. Move up (direction 2)
4. Move down (direction 7)
5. Move diagonally left-up (direction 1)
6. Move diagonally right-up (direction 3)
7. Move diagonally left-down (direction 6)
8. Move diagonally right-down (direction 8)
Therefore, the token has eight possible moves: four cardinal directions (up, down, left, right) and four diagonal directions (left-up, right-up, left-down, right-down).
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I have 3 minutes. Please hurry
what do you need help with (no pic or no question)
Answer:
what is the question>?>
Step-by-step explanation:
50 points help pls
Question: state whether the figure appears to have a line symmetry (write yes or no). If so, draw all lines of symmetry
Answer:
No, it doesn't have all lines of symmetry
Step-by-step explanation:
If you can see, the triangle's line of symmetry is from a vertex to the center of another line. So, draw a line from the bottom left vertex (corner) to the center of the right side/line. And then, draw another from the right corner to left center line.
The angle measurements in the diagram are represented by the following expressions
ZA = 8r+6
B = 4.1 +38
Solve for x and then find the measure of B:
_B =
answer:
∠B = 70°
step-by-step explanation:
as you can see, the angle are alternate exterior anglestherefore, they are EQUALwe can set them equal to each and solve for x first∠A = ∠B
8x + 6 = 4x + 38
4x + 6 = 38
4x = 32
x = 8
now, we will plug in x in the expression for B to find B4(8) + 38
32 + 38
= 70
therefore, ∠B = 70° and x = 8Point AAA is at {(-6,-5)}(−6,−5)left parenthesis, minus, 6, comma, minus, 5, right parenthesis and point CCC is at {(4,0)}(4,0)left parenthesis, 4, comma, 0, right parenthesis. Find the coordinates of point BBB on \overline{AC} AC start overline, A, C, end overline such that the ratio of ABABA, B to BCBCB, C is 2:32:32, colon, 3.
Answer:
B(-2,-3).
Step-by-step explanation:
The given points are A(-6,-5) and C(4,0).
We need to find the coordinates of point B on segment AC such that AB:BC=2:3.
It means point B divides the line segment AC in the ratio of 2:3.
Section formula: If a point divide a line segment in m:n, then
\(Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)\)
Using section formula, the coordinates of point B are
\(B=\left(\dfrac{2(4)+3(-6)}{2+3},\dfrac{2(0)+3(-5)}{2+3}\right)\)
\(B=\left(\dfrac{8-18}{5},\dfrac{0-15}{5}\right)\)
\(B=\left(\dfrac{-10}{5},\dfrac{-15}{5}\right)\)
\(B=\left(-2,-3\right)\)
Therefore, the coordinates of point B are (-2,-3).
Answer:
Therefore, the coordinates of point B are (-2,-3).
Step-by-step explanation:
go 5
U
12 x 9
18
11
17
how do I solve this
Answer:
6/17
Step-by-step explanation:
12/18 * 9/17
use 9 to divide 18 u'll be left with
12/2 * 1/17
use 2 to divide 12 u'll be left with
6/1 * 1/17
now u'll multiply leaving you with
6/17 as the final answer or u can also convert to decimal your answer will be
0.352 by approximation.
Hope this helps please mark me BRAINLIEST
Solve each inequality and graph the solution.
Tom saved $550 to go on a school trip. The cost for a hotel room, including tax, is $80 per night. What are the possible numbers of nights Tom can stay at the hotel?
Answer:
6 nights
Step-by-step explanation:
550 divided by 80
PLEASE HELP WORTH 15 POINTS
5) The blade of a wind turbine are 224 feet long. what is the distance
traveled by a point on it's tip as the blade rotates 5/4 of a revolution?
Answer:
Step-by-step explanation:
first note that 5/4 of a revolution comes out to (5/4)(2π) radians, or
5/8 radian. Thus, the distance traveled by the point is
s = rФ, where r is the radius and Ф is the angle through which the blade rotates. Here we have:
s = (224 ft)(5/4)π ft
Ali has hired mark and alexis to work for his shipping company. mark can load a truck with packages in 120 minutes. alexis can load the same number of packages in 240 minutes. if mark and alexis work together on a particular truck, they can load all of the packages in___minutes.
If mark and Alexis work together on a particular truck, they can load all of the packages in 90 minutes.
It will take 90 minutes for both Mark and Alexis to load all of the products.
Given,
that Mark can load a truck with items in 120 minutes and Alexis can do the same in 240 minutes, the average time for the two of them is as follows:
Average = (120 + 240) ÷ 2
= 360 ÷ 2
= 180
In this case, the term "Average" refers to the value that should be used to represent the sample. By dividing the total number of values in a particular set by the sum of all the values in that set, the average is determined. also known as the arithmetic mean.
Since there were two parties engaged, our calculation is 180 ÷ 2 = 90.
Hence, in this case, it is concluded that the correct answer is option B. 90 minutes.
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Hey, I need help with solving this inequality. It is for Introductory Algebra (0308) TSI Review. I need to pass the TSI which is 20 to 45 questions long and I have failed it in the past a total of four times, please help me to understand this: -4<4-2x<6
Thanks So Much!
The Law of Sines says that for a given triangle, _____.the sine values of all three internal angles will be the samethe sine values of all three internal angles will be proportional to each otherthe ratio between the sine of the angle and the opposite side will match for all three internal anglesthe sine values of all three angles will be different
The Law of Sines says that for a given triangle, the ratio between the sine of an angle and the length of the opposite side is the same for all three angles in a triangle. the sine values of all three internal angles will be the samethe sine values of all three internal angles will be proportional to each otherthe ratio between the sine of the angle and the opposite side will match for all three internal anglesthe sine values of all three angles will be different
In a triangle, we have three angles and three sides. The Law of Sines says that for any triangle, the ratio between the sine of an angle and the length of the opposite side will be the same for all three angles. In other words, the sine values of each angle are proportional to the length of the opposite side.
To put this in mathematical terms, let's consider a triangle with angles A, B, and C, and sides a, b, and c respectively. The Law of Sines can be written as:
sin(A)/a = sin(B)/b = sin(C)/c
This means that if we know the length of any two sides and the measure of the angle opposite one of those sides, we can use the Law of Sines to find the measure of the other angles and sides.
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Scheels received a shipment of 400 water bottles. 30% were yellow.
How many yellow water bottles were in the shipment?
_________________________________
Solution,
30% of 400
= 30/100*400
=120
120 yellow water bottles were in the shipment.
Hope it helps
Good luck on your assignment
__________________________________
two trains leave the station at the same time, one heading east and the other west. the eastbound train travels at miles per hour. the westbound train travels at miles per hour. how long will it take for the two trains to be miles apart? do not do any rounding.
It will take (miles / (mph eastbound + mph westbound)) hours for the two trains to be miles apart.
(miles / (mph eastbound + mph westbound)) * 60 minutes/hour = minutes
The time it takes for two trains to be a certain distance apart depends on the speed of each train and the distance between them. To calculate this, we can use the equation time = distance/speed. We can also use this equation to calculate the time for two trains traveling in opposite directions. To do this, we add the speed of the eastbound train (mph eastbound) and the speed of the westbound train (mph westbound) and divide the distance between the two trains (miles) by the total. This gives us the amount of time it will take for the two trains to be miles apart. After converting the answer to minutes, we get the amount of time it will take for the two trains to be miles apart.
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true or false: the student t distribution may be used to construct a confidence interval for the mean of any population, so long as the sample size is small.
False. The student t distribution may be used to construct a confidence interval for the mean of a population that is normally distributed, so long as the sample size is small.
The student t distribution may be used to construct a confidence interval for the mean of any population, so long as the sample size is small. The student t distribution is a probability distribution that is used to estimate the population mean when the sample size is small and the population standard deviation is unknown. The student t distribution is also used to construct confidence intervals for the population mean.
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The first three steps in determining the solution set of the system of equations, y = –x2 – 2x + 8 and y = 2x + 11, algebraically are shown in the table.
Which represents the solution(s) of this system of equations?
(–3, –1)
(–3, 5)
(–3, 5) and (–1, 9)
(1, 13) and (3, 20)
Answer:
(–3, 5) and (–1, 9)
Step-by-step explanation:
if you just plug the numbers in they fit :)
The solution of the system of equations is (–3, 5) and (–1, 9).
What is the System of the equation?Inconsistent System
For a system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.
The solution of a system of equations is the point where the line of the equations intersects, therefore, the solution of the system of equations is (–3, 5) and (–1, 9).
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Which of the following values are solutions to the inequality 7 < -2 – 3x?
I. 1
II. 3
III. - 3
None
I only
Submit Answer
II only
III only
I and II
I and III
II and III
O I, II and III
problem 1 out of n
Answer:
x<-3
Step-by-step explanation:
The given inequality is 7 < -2 – 3x.
We need to solve the inequality.
Adding 2both sides of the inequality.
7 +2 < -2 – 3x +2
9 <-3x
x<-3
So, the value of x should be less than -3.
A triangle has 2 sides measuring 12 on each side. What is the base?
Answer:
To determine the base of a triangle, we need more information. The base of a triangle is one of its sides, typically denoted as the side opposite to the triangle's vertex or apex. In order to find the base, we need to know either the length of the other side and the angle between them, or the height of the triangle along with the length of one of its sides.
If you have additional information about the triangle, such as the length of another side or the height, please provide that information so that we can help you find the base.
Step-by-step explanation:
on a roadway with eight 11 ft lanes (four in each direction), a horizontal curve is designed with a radius of 1176 ft, and a concrete wall is built at 70 ft from the center line, what is the sight distance for the driver?
The sight distance for the driver on the given road with the mentioned conditions is calculated to be approximately 860.8 ft.
To calculate the sight distance for the driver, we need to use the horizontal curve sight distance formula. The formula is:
SD = 2/3 × ((h + R)² / (2 × R - f))
Where:
SD = sight distance
h = height of driver's eye above the roadway surface (in feet)
R = radius of the curve (in feet)
f = distance from the driver's eye to the object or obstacle (in feet)
First, we need to determine the height of the driver's eye. A typical height for a driver's eye above the roadway surface is 3.5 feet. Therefore, we will assume that h = 3.5 ft.
Next, we need to determine f, which is the distance from the driver's eye to the concrete wall. Since the wall is located 70 feet from the center line of the roadway, we can determine f as follows:
f = (W / 2) + S
Where:
W = width of the roadway (in feet)
S = distance from the center line to the wall (in feet)
Substituting the given values, we get:
f = (8 × 11 / 2) + 70 = 114 ft
Now, we can plug in the values for h, R, and f into the sight distance formula:
SD = 2/3 × ((3.5 + 1176)² / (2 × 1176 - 114))
Simplifying the formula, we get:
SD ≈ 860.8 ft
Therefore, the sight distance for the driver on this roadway with a horizontal curve of radius 1176 ft and a concrete wall built at 70 ft from the center line is approximately 860.8 ft.
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PLEASPLEASEPLEASE HELP ILL DO ANYTHING
Answer:
8
Step-by-step explanation:
On a ordinary graph, r(x) would actually be x, but if you have -2 x, then look where the porabla intersects and plot the y value, which is 8.
Answer:
8
Step-by-step explanation: