well, let's notice at the coordinates for A and B, A(-2 , 1) and B(1 , -1)
\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{-2}~,~\stackrel{y_1}{1})\qquad B(\stackrel{x_2}{1}~,~\stackrel{y_2}{-1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AB=\sqrt{[1 - (-2)]^2 + [-1 - 1]^2}\implies AB=\sqrt{(1+2)^2+(-2)^2} \\\\\\ AB=\sqrt{9+4}\implies AB=\sqrt{13}\implies AB\approx 3.6\)
the amount of time tim spends answering work e-mails in a given day has a mean of one hour and a standard deviation of ten minutes. what would best describe the total amount of time, measured in hours, tim would spend answering e-mails over the course of 100 days
The best estimate for the total amount of time Tim would spend answering e-mails over the course of 100 days is 100 hours with a standard deviation of 0.53 hours.
To find the total amount of time Tim would spend answering emails over the course of 100 days, we need to use the concept of the Central Limit Theorem. According to the theorem, the sum of a large number of independent and identically distributed random variables approaches a normal distribution regardless of the underlying distribution.
To calculate the standard deviation of the total amount of time Tim spends answering emails over 100 days, we can use the formula:
standard deviation = square root of (n * variance)
where n is the number of days and variance is the variance of the amount of time Tim spends in a day answering emails.
Substituting the values, we get:
standard deviation = square root of (100 * 0.0028) = 0.53 hours
Therefore, Tim would spend an average of 100 hours over the span of 100 days responding to emails, with a standard deviation of 0.53 hours, according to the best estimate.
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Using Table H, find the P-value interval for a right-tailed test when F = 2.97, d.f.N. - =
9, and d.f.D. = 14.
O 0.005 P-value < 0.01
O 0.01 P-value < 0.025
O 0.025 P-value < 0.05
O 0.05 P-value < 0.1
The correct answer is:
0.025 P-value < 0.05
In statistical hypothesis testing, the P-value is a measure of the strength of evidence against the null hypothesis. It represents the probability of observing a test statistic as extreme as the one calculated from the sample data, assuming the null hypothesis is true.
In this case, we have a right-tailed test, which means we are interested in the upper tail of the F-distribution. The test statistic is calculated as F = 2.97, with degrees of freedom for the numerator (d.f.N.) = 9 and degrees of freedom for the denominator (d.f.D.) = 14.
Using Table H (which provides critical values for the F-distribution), we can determine the P-value interval. In this table, we find the column for d.f.N. = 9 and locate the row that corresponds to d.f.D. = 14. The intersection of these values gives us the critical value, which is 0.025.
Since the F-value of 2.97 is greater than the critical value of 0.025, the P-value is less than 0.05. Therefore, we can conclude that 0.025 < P-value < 0.05, indicating strong evidence against the null hypothesis.
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Please answer this question.I would really appreciate it! I have put a picture of it right here.
Answer:
this equation don't have x... Just y
y = 10
The data represents the height, in feet, of various buildings. Find the Range.
60, 58, 54, 56, 63, 65, 62, 59, 56, 58
PLSS HELP I ON A TESTTT PLS HELP!
Range is about subtracting the lowest number from the highest number!
The lowest number is 54.
The highest number is 65.
65 - 54 = 11
Answer: 11Answer:
11
Step-by-step explanation:
Subtract the highest and lowest values 65-54, and you get 11
Solve the equation for v.
0.5v + 0.06 < 3.46
v > 1.8
v < 1.8
v > 6.8
v < 6.8
Answer:
\(\boxed{\tt v < 6.8}\)
Step-by-step explanation:
\(\tt 0.5v+0.06 < 3.46\)
Multiply both sides by 100:-
\(\tt 0.5v\times\:100+0.06\times\:100 < 3.46\times\:100\)
\(\tt 50v+6 < 346\)
Subtract 6 from both sides:-
\(\tt 50v < 340\)
Divide both sides by 50:-
\(\tt \cfrac{50v}{50} < \cfrac{340}{50}\)
\(\tt v < \cfrac{34}{5}\)
Or
\(\tt v < 6.8\)
Therefore, your answer is v < 6.8!!! :)
______________________
Hope this helps!
Have a great day!
PLEASE HELP WILL MARK BRAINLIEST !!!
If you have 3 points spread out randomly so that no 3 points are colinear, how many lines can you draw using 2 points? (Hint start at 1 dot and connect lines as you add each dot, you might notice a pattern)
The total lines you can draw using 2 points is 3 lines
What are collinear points?Collinear points are points that lines on the same line compared to coplanar points that lies on the same plane.
For permutation and combination, combination has to do with selection while permutation has to do with arrangement.
In order to randomly draw two points from the given 3 points, we will select two points randomly and use it to create a line since a line is the shortest distance between two points. According to the formua;l
nCr = n!/(n-r)!r!
where n = 3 and r = 2 to have;
3C2 = 3!/(3-2)!2!
3C2 = 3*2/2*1
3C2 3/1
3C2 = 3ways
Hence the total lines you can draw using 2 points is 3 lines
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Pls help me this is very hard
Answer:
Step-by-step explanation:
35tu
(5 and 7 are like terms, and you put the 't' and 'u' in alphabetical order)
Answer:
ut=35
Step-by-step explanation:
5×u×t×7=0
collect like terms
ut=5×7
ut=35
Enter the repeating digit:
\( \frac{2 }{3} = 0. \frac{?}{?} \)
Answer:0.6666...
Step-by-step explanation:
Dividing
A. yes because their ratios are the same B. yes because their ratios are the same C. no because their ratios are the same D. no because their ratios are the same
Answer:
No because their ratios are not the same
Step-by-step explanation:
The scalar from 5 to 10 is 2 but from 3 to 4, its 4/3.
May I please receive help
What percentage of the flower in the garden are white?
A 20%
B 40%
C 60%
D 90%
Answer:
b
Step-by-step explanation:
The percentage of purple flowers and white flowers produced in the F2 generation will be 75% and 25% respectively.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
Here, we have,
F2 generation can be defined as the filial generation that arises from the interbreeding between the offspring of F1 generation. F1 generation is produced when two parents are crossed with each other. And this F1 generation when inter-bred fives rise to F2 generation.
Since the F1 generation consisted of offspring with genotype Pp, the the self cross (Pp × Pp) will produce the F2 generation with offspring PP, Pp, Pp and pp. As a result, the percentage of purple and white flowers will be 75% and 25% respectively.
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The given question is incomplete, the complete question is:
If two homozygous parents with genotype PP and pp are crossed, the F1 generation contains the genotype Pp. If the offspring of F1 generation is self-crossed, what must be the percentage of purple flowers and white flowers in the F2 generation?
Help on this please.
Answer:
(25 -5√7)/3 ≈ 3.924 inches
Step-by-step explanation:
After removing squares from the corners and folding up the sides, the open-top box will have dimensions ...
x × (20 -2x) × (30 -2x)
The maximum value for this cubic expression in the domain 0 < x < 10 is found easily by a graphing calculator to be at x = 3.924 inches.
__
You can solve this by expanding the cubic and finding the solution that makes its derivative equal to 0.
V(x) = 4x^3 -100x^2 +600x
The derivative is ...
V'(x) = 12x^2 -200x +600 = 0
Dividing by 12, we have ...
x^2 -50/3x +50 = 0
Completing the square, we get the form ...
(x -25/3)^2 = -50 +(25/3)^2 = (-450 +625)/9 = 175/9
Taking the square root gives ...
x -25/3 = ±(5√7)/3
The solution in the desired range is ...
x = (25 -5√7)/3 ≈ 3.924 . . . inches
_____
Additional comment
We limit the value of x to half the width of the cardboard material, as any longer cuts would overlap to create a negative box dimension. The graph shows the maximum volume to be about 1056.3 cubic inches. Box dimensions would be 3.924 in deep by 12.153 in by 22.153 in.
__
The generic solution can be found using a similar procedure. For cardboard dimensions a×b, it will be ...
x = ((a +b) -√((a -b)² +ab))/6
solve this equation for x: 3x+4x+x+16
Answer:
x = 2
Step-by-step explanation:
solve this equation for x: 3x+4x+x=16
3x + 4x + x = 16
7x + x = 16
8x = 16
x = 16 : 8
x = 2
----------------------
check3 × 2 + 4 × 2 + 2 = 16 (remember PEMDAS)
6 + 8 + 2 = 16
16 = 16
same value the answer is good
Look at Project TX55: \[ E S(D)=35, E S(E)=47, \text { and } E S(F)=34 \text {. } \] The duration of activities \( \mathrm{D}, \mathrm{E} \), and \( \mathrm{F} \) are 12,13 , and 15 days, respectively
The project's early start date is 34 (since it is the latest early finish of all the activities' predecessors). In project management, "ES" refers to the early start date. To determine the project's early start, the following formula is used: Early Start (ES) = Latest Early Finish (LEF) of all the predecessors.
Project TX55's early start date will be determined using this formula.
Let us first determine the early finish (EF) for the given activities.
For activity D, we have:
EF(D) = ES(D) + Duration(D)
= 35 + 12
= 47
For activity E, we have:
EF(E) = ES(E) + Duration(E)
= 47 + 13
= 60
For activity F, we have:
EF(F) = ES(F) + Duration(F)
= 34 + 15
= 49
Since none of these activities have any predecessors, their early start dates will be equal to their early finish dates. Therefore, the early start for Activity D is ES(D) = 35
The early start for Activity E is ES(E) = 47
The early start for Activity F is ES(F) = 34
Therefore, the project's early start date is 34 (since it is the latest early finish of all the activities' predecessors).
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Olivia filled 4 baskets of apples. her friend filled up one additional basket of apples. if all of the baskets sold for a total of $160, how much money did each basket of apples cost?
Answer: 32
Step-by-step explanation: The total of baskets is 5. They paid 160$ So, 160 divide by 5 = 32
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the average age of the 65 students in mrs hopes political science class is 21 year 8 months . statistics or parameter?
Since the information given pertains to the specific group of 65 students in Mrs. Hope's class, the average age is considered a statistic.
The average age of the 65 students in Mrs. Hope's political science class, which is 21 years 8 months, is a statistic.
Statistics refers to the numerical measures calculated from a sample, in this case, the average age of the 65 students. It provides information about a specific group or sample.
On the other hand, a parameter refers to a numerical measure that describes a characteristic of an entire population. In this case, if we had information about the average age of all the students in Mrs. Hope's school or the population of all political science students, then the average age would be a parameter.
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What is the sin of 0 radians?
The sine of 0 radians is 0.
In trigonometry, the sine of an angle is defined as the ratio of the length of the side opposite to the angle to the length of the hypotenuse of a right-angled triangle.
When the angle is 0 degrees (or 0 radians), the opposite side has a length of 0, and thus the ratio is also 0. Therefore, the sine of 0 radians is 0.
In a circle with the radius r, the horizontal axis x, and the vertical axis y, 0 is the angle formed by the two sides x and r; r moving counterclockwise is the positive angle.
Note that, the sine function maps an angle to a value which is between -1 and 1, with a periodic nature, meaning that the values repeat in a cycle as the angle increases.
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PLEASE HELP I NEED IT FAST AND I WILL GIVE A BRAINLESS AND A THANKS AND ANYTHING ELSE
Answer: \(3\frac{1}{3}\)
Step-by-step explanation:
- t / u + vw (plug the number in)
= - 2 / (-2/3) + (-1)(-1/3)
= 2/ (2/3) + 1/3
= 2(3/2) + 1/3 (the 2 were being cancel)
= 3 + 1/3
= \(3\frac{1}{3}\)
Answer:
A. 3 1/3Step-by-step explanation:
Given:
t = 2, u = -2/3, v = - 1, w = - 1/3Find:
- t/u + vw = - 2 / (-2/3) + (-1)(-1/3) = 3 + 1/3 = 3 1/3Correct choice is A
Could someone help me with these please? I’m stuck.
Answer:
1. 23
2. 5.83 (5.8 rounded)
3. 1.18 (or 1.2 rounded)
4. unsure how to solve, sorry
Step-by-step explanation:
your formula: a^2+b^2=c^2
1. 20^2+13^2=c^2
400+169=569
(take the square root of 569)
c=23
2. 15^2+b^2=17^2
225+b^2=289
(subtract 225 from both sides)
b^2= 34
(take the square root of 34)
b=5.83 (or 5.8 rounded)
3. 0.2^2+b^2=1.2^2
0.04+b^2=1.44
(subtract 0.04 from bot sides)
b^2=1.4
(take the square root of 1.4)
b=1.18 (or 1.2 rounded)
4. unsure how to solve, sorry
round 1021.857923 to 3 significant figures
Answer:
Step-by-step explanation:
102
You're planning to visit with seven clients today and you estimate that at most each client will require 3/4 of an hour of your time. At most how long does you estimate say it will take to visit with each client?
Answer:
45 mins
Step-by-step explanation:
Estimated time it would take to visit with each client = fraction of time required for one client x 60 minutes
3/4 x 60 = 45 minutes
time it would take to visit with 7 clients = 7 x 45 minutes = 5hours 25 mins
Gastonia’s population of 15,000 in 2020 was expected to grow exponentially by 12% each DECADE for the rest of the century…
-------------------------------------------------
What will be the population in 2030?
ANSWER: people
-------------------------------------------------
What will be the population in 2040?
ANSWER: people
Answer: In 2030, the population will be 16,800 and in 2040 the population will be 18,816.
Step-by-step explanation: To find the population in 2030, we need to calculate one decade of growth from 2020 to 2030:
Population in 2030 = 15,000 x (1 + 0.12)^1 = 16,800
Therefore, the population in Gastonia is expected to be 16,800 in 2030.
To find the population in 2040, we need to calculate two decades of growth from 2020 to 2040:
Population in 2040 = 15,000 x (1 + 0.12)^2 = 18,816
Therefore, the population in Gastonia is expected to be 18,816 in 2040.
Consider the line y = -5x + 1. Write the equation of the line that is perpendicular to this line and that contains the point (2, -1)
Considering the definition of perpendicular line, the equation of the perpendicular line is y= 1/5x - 13/5.
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Perpendicular linePerpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.
Equation of perpendicular line in this caseThe line is y= -5x +1.
In this case, the line has a slope of -5. If you multiply the slopes of two perpendicular lines, you get –1, you get:
(-5)× slope perpendicular line= -1
slope perpendicular line= (-1)÷ (-5)
slope perpendicular line= 1/5
So, the perpendicular line has a form of: y= 1/5x + b
The line passes through the point (2, -1). Replacing in the expression for perpendicular line:
-1= 1/5× 2 + b
-1= 2/5 + b
-1- 2/5= b
-13/5= b
Finally, the perpendicular line is y= 1/5x - 13/5.
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Find all of the cube roots of ii and write the answers in rectangular (standard) form.
To find all of the cube roots of ii and write the answers in rectangular form, we need to first express ii in polar form. To do this, we can convert ii to its polar form by writing it as a complex number in the form r(cosθ + isinθ), where r is the magnitude and θ is the argument.
In this case, we have ii = 1(cos(π/2) + isin(π/2)). The magnitude of ii is 1, and the argument is π/2. Now, to find the cube roots, we need to find the numbers that, when raised to the power of 3, give us ii. To find the cube roots, we can use De Moivre's theorem, which states that for any complex number z = r(cosθ + isinθ), the nth roots of z can be found by taking the nth root of the magnitude and dividing the argument by n.
In this case, we have n = 3, r = 1, and θ = π/2. Taking the cube root of the magnitude 1 gives us 1^(1/3) = 1. Dividing the argument π/2 by 3 gives us (π/2) / 3 = π/6. So, the first cube root is 1(cos(π/6) + isin(π/6)). To find the other cube roots, we can add multiples of 2π/3 to the argument. Adding 2π/3 to π/6 gives us π/6 + 2π/3 = π/2. So, the second cube root is 1(cos(π/2) + isin(π/2)), which is equal to ii. Adding another 2π/3 gives us π/2 + 2π/3 = 7π/6. So, the third cube root is 1(cos(7π/6) + isin(7π/6)). Therefore, the cube roots of ii in rectangular .
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-2(2x) simplified please
Answer:
-4x
Step-by-step explanation:
Answer:
-4x
Step-by-step explanation:
What is equivalent to 7 x 7 x 7 x 7 x7 x 7? 7 (5 as exponent), 7 (6 as exponent), 6 (7 as exponent), 7 (7 as exponent).
Answer:
7 (6 as exponent)
Step-by-step explanation:
Given the repeated product of a number to be expressed in exponential terms, we take the number as the base and the number of times it is multiplied as the exponent or power.
As such, given 7 x 7 x 7 x 7 x7 x 7
the base is 7 and since the number of 7s being multiplied is 6, the result is
7 exponent 6 which may be written as 7^6
Answer:
Step-by-step explanation:
7^6
The purchased cost of a 5-m3 stainless steel tank in 1995 was $10,900. The 2-m-diameter tank is cylindrical with a flat top and bottom. If the entire outer surface of the tank is to be covered with 0.05-m-thickness of magnesia block, estimate the current total cost for the installed and insulated tank. The 1995 cost for the 0.05-m-thick magnesia block was $40 per square meter while the labor for installing the insulation was $95 per square meter.
The estimated current total cost for the installed and insulated tank is $12,065.73.
The first step is to calculate the surface area of the tank. The surface area of a cylinder is calculated as follows:
surface_area = 2 * pi * r * h + 2 * pi * r^2
where:
r is the radius of the cylinder
h is the height of the cylinder
In this case, the radius of the cylinder is 1 meter (half of the diameter) and the height of the cylinder is 1 meter. So the surface area of the tank is:
surface_area = 2 * pi * 1 * 1 + 2 * pi * 1^2 = 6.283185307179586
The insulation will add a thickness of 0.05 meters to the surface area of the tank, so the total surface area of the insulated tank is:
surface_area = 6.283185307179586 + 2 * pi * 1 * 0.05 = 6.806032934459293
The cost of the insulation is $40 per square meter and the cost of labor is $95 per square meter, so the total cost of the insulation and labor is:
cost = 6.806032934459293 * (40 + 95) = $1,165.73
The original cost of the tank was $10,900, so the total cost of the insulated tank is:
cost = 10900 + 1165.73 = $12,065.73
Therefore, the estimated current total cost for the installed and insulated tank is $12,065.73.
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If ST=17 and RT=41, find RS. Use the number line below.
The length of segment RS is given as follows:
RS = 24.
What does the angle addition postulate state?The angle addition postulate states that if two or more angles share a common vertex and a common angle, forming a combination, the measure of the larger angle will be given by the sum of the measures of each of the angles.
The segment RT is the combination of segments RS and ST, hence:
RT = RS + ST.
Hence the length of segment RS is given as follows:
41 = RS + 17
RS = 24.
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From a speed of 114 meters per second, a car begins to decelerate. The rate of deceleration is 6 meters per square second. How many meters does the car travel after 10 seconds? (Do not include units in your answer.) Provide your answer below:
The car travels 660 meters after 10 seconds of deceleration.
To solve this problem, we can use the formula: distance = initial velocity * time + (1/2) * acceleration * time^2. The initial velocity is 114 m/s, the time is 10 seconds, and the acceleration is -6 m/s^2 (negative because it represents deceleration). Plugging these values into the formula, we get:
distance = 114 * 10 + (1/2) * (-6) * 10^2
distance = 1140 - 300
distance = 840 meters
Therefore, the car travels 840 meters after 10 seconds of deceleration.
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pls, help me 16 points :)
Answer:
I went through and graphed them all, and the graph for A matched perfectly :)
Step-by-step explanation: