Answer:
(-13/2, 3)
Step-by-step explanation:
There's a fancy formula for the midpoint, but here's a way that might be easier to remember. The average of two numbers is exactly halfway between them.
Average the x's: (-9 + (-4))/2 = -13/2
Average the y's: (8 + (-2))/2 = 6/2 = 3
The midpoint is (-13/2, 3).
The formula tells you to do the same thing: add the x's and divide by 2, then add the y's and divide by 2.
Midpoint = (average x, average y)
small p-values indicate that the observed sample is inconsistent with the null hypothesis. T/F?
True. Small p-values support the rejection of the null hypothesis and provide evidence in favor of an alternative hypothesis.
Small p-values indicate that the observed sample data provides strong evidence against the null hypothesis. The p-value is a measure of the strength of evidence against the null hypothesis in a hypothesis test. It represents the probability of observing the obtained sample data, or more extreme data, if the null hypothesis is true.
When the p-value is small (typically less than a predetermined significance level, such as 0.05), it suggests that the observed sample data is unlikely to have occurred by chance under the assumption of the null hypothesis. In other words, a small p-value indicates that the observed data is inconsistent with the null hypothesis.
Conversely, when the p-value is large (greater than the significance level), it suggests that the observed sample data is likely to occur by chance even if the null hypothesis is true. In such cases, there is not enough evidence to reject the null hypothesis. Therefore, small p-values support the rejection of the null hypothesis and provide evidence in favor of an alternative hypothesis.
Learn more about P-value here:
https://brainly.com/question/30461126
#SPJ11
Help me plz look at pic
Answer:
40 乘以 2,答案是 80,所以我猜是 209/5。
我不太确定,但是...
希望有帮助
! :)
Answer:
The answer is 209/5=41.8
Step-by-step explanation:
40 2/5= 40.4
436/11=39.63...
209/5=41.8
201/5=40.2
40 1/4=40.25
Questions are from: Gerald and Wheatly, Applied Numerical Analysis 1) 10. A sky diver jumps from a plane, and during the time before the parachute opens, the air resistance is propor- tional to the power of the diver's velocity. If it is known that the maximum rate of fall under these condi- tions is 80 mph, determine the diver's velocity during the first 2 sec of fall using the modified Euler method with Ar= 0.2. Neglect horizontal drift and assume an initial velocity of zero.
The diver's velocity during the first 2 sec of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.
Given data: Initial velocity, u = 0 ft/sec
Acceleration, a = g = 32.2 ft/sec²
The maximum rate of fall, vmax = 80 mph
Time, t = 2 seconds
Air resistance constant, Ar = 0.2
We are supposed to determine the sky diver's velocity during the first 2 seconds of fall using the modified Euler method.
The governing equation for the velocity of the skydiver is given by the following:
ma = -m * g + k * v²
where, m = mass of the skydive
r, g = acceleration due to gravity, k = air resistance constant, and v = velocity of the skydiver.
The equation can be written as,
v' = -g + (k / m) * v²
Here, v' = dv/dt = acceleration
Hence, the modified Euler's formula for the velocity can be written as
v1 = v0 + h * v'0.5 * (v'0 + v'1)
where, v0 = 0 ft/sec, h = 2 sec, and v'0 = -g + (k / m) * v0² = -g = -32.2 ft/sec²
As the initial velocity of the skydiver is zero, we can write
v1 = 0 + 2 * (-32.2 + (0.2 / 68.956) * 0²)0.5 * (-32.2 + (-32.2 + (0.2 / 68.956) * 0.5² * (-32.2 + (-32.2 + (0.2 / 68.956) * 0²)))
v1 = 62.732 mph
Therefore, the skydiver's velocity during the first 2 seconds of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.
To know more about the Euler method visit:
https://brainly.com/question/32564424
#SPJ11
Given the equation of a circle. X^2+ y^2 - 6x + 2y +1 = 0, find the coordinates of the center and the length of the radius.
Coordinates for the center=
Length of the radius =
Answer:
I know the answer but you may select me as Brainliest
HELP PLZ I NEED TO PASS‼️‼️‼️ (picture of the question is included)A line passes through the point (-4, -3) and has a slope of 5/4.
Write an equation in slope-intercept form for this line.
I need to find the resultant matrix
the answers are there
i hope it will help you
To conduct an experiment, researches randomly select six students from a class of 20. How many different groups of six students are possible?
Answer:
3.33
Step-by-step explanation:
20 divided by 6 equals 3.33333333333
Round that you get 3.33
If u(x) = -2x² +3 and v(x)= 1/x, what is the range of (uºv)(x)?
The range of (uºv)(x) can be represented in interval notation as: \(\mathbf{(-\infty,3)}\)
What is the range of a function?In a function, the range is the set of all valid values of y and this can be better determined from the graphical representation of the given function.
Here, we are given:
u(x) = -2x² +3
v(x) = 1/x
To find (uºv)(x) which can be written as u(v(x)), we need to input all the values of v(x) into where we find the variable x in u(x), by doing so, we have:
u(1/x) = -2(1/x)² +3
u(1/x) = -2/x² +3
Now, the range of u(1/x) which is the set of all valid values of y can be represented in interval notation as: \(\mathbf{(-\infty,3)}\)
Learn more about the range of a function here:
https://brainly.com/question/7954282
#SPJ1
Mr Avalon's cousin's Kurt and rod started their own business curtain rods curtain rods they sell curtain rods for $5 each they rent a store in the mall for their business for $2,500 per month how many curtain rods must they sell to earn a profit of$ 3750?
Answer:34.3 N and 15.7 N
Explanation:
= force on the left end of the rod
= force on the right end of the rod
M = mass of Halloween decoration = 3 kg
= weight of the Halloween decoration = Mg = 3 x 9.8 = 29.4 N
m = mass of rod = 2.1 kg
= weight of the rod = mg = 2.1 x 9.8 = 20.6 N
From the force diagram, using equilibrium of torque about A
(AB) + (AC) = (AD)
(29.4) (21) + (20.6) (57) = (114)
= 15.7 N
Using equilibrium of force along the vertical direction
+ = +
15.7 + = 29.4 + 20.6
= 34.3 N
Step-by-step explanation:
Answer:
1,250 curtain rods
Step-by-step explanation:
2500 + 3750 = 6250
6250/5=1,250
1,250 curtain rods
rico tested 50 adults in an experimental group, to give a large enough ________ __________ to be accurate.
How large should we choose n so that the trapezoid-rule approximation, Tn, to the integral sin r dz is accurate to within 0.00001? (Use the error bound given in Section 5.9 of the course text.)
The trapezoidal rule is a numerical integration method that uses trapezoids to estimate the area under a curve. The trapezoidal rule can be used for both definite and indefinite integrals. The trapezoidal rule approximation, Tn, to the integral sin r dz is given by:
Tn = (b-a)/2n[f(a) + 2f(a+h) + 2f(a+2h) + ... + 2f(b-h) + f(b)]where h = (b-a)/n. To determine how large n should be so that Tn is accurate to within 0.00001, we can use the error bound given in Section 5.9 of the course text. According to the error bound, the error, E, in the trapezoidal rule approximation is given by:E ≤ ((b-a)³/12n²)max|f''(x)|where f''(x) is the second derivative of f(x). For the integral sin r dz, the second derivative is f''(r) = -sin r. Since the absolute value of sin r is less than or equal to 1, we have:max|f''(r)| = 1.
Substituting this value into the error bound equation gives:E ≤ ((b-a)³/12n²)So we want to choose n so that E ≤ 0.00001. Substituting E and the given values into the inequality gives:((b-a)³/12n²) ≤ 0.00001Simplifying this expression gives:n² ≥ ((b-a)³/(0.00001)(12))n² ≥ (b-a)³/0.00012n ≥ √(b-a)³/0.00012Now we just need to substitute the values of a and b into this expression. Since we don't know the upper limit of integration, we can use the fact that sin r is bounded by -1 and 1 to get an upper bound for the integral.
For example, we could use the interval [0, pi/2], which contains one full period of sin r. Then we have:a = 0b = pi/2Plugging in these values gives:n ≥ √(pi/2)³/0.00012n ≥ 5073.31Since n must be an integer, we round up to the nearest integer to get:n = 5074Therefore, we should choose n to be 5074 so that the trapezoidal rule approximation, Tn, to the integral sin r dz is accurate to within 0.00001.
To know more about integration visit :
https://brainly.com/question/31744185
#SPJ11
A line with a slope of 4 passes through the point (2, 1). What is the equation of this line?
Answer:
point slope form: y - 1 = 4 (x -2)
slope intercept form: y = 4x -7
Step-by-step explanation:
If you want it in point slope form it would be: y - 1 = 4 (x -2)
but if you want it in slope intercept form, you solve this equation
y -1 = 4 (x-2)
y-1 = 4x -8
+1 +1
y = 4x -7 in slope intercept form
4. Is 1,500,000 grams in 3 liters the same as 5 kilograms in 1 centiliter?
O No, because "grams per liter" measures volume, and "kilograms per centiliter" measures length.
No, because "grams per liter" measures concentration, and "kilograms per centiliter" measures area.
O Yes, because 1 kilogram = 1000 grams, and 1 liter = 100 centiliters.
Yes, because 1 gram per liter is the same as 1 kilogram per centiliter.
Answer:
O Yes, because 1 kilogram = 1000 grams, and 1 liter = 100 centiliters.
Yes, because 1 gram per liter is the same as 1 kilogram per centiliter.
Step-by-step explanation:
What is the most appropriate method to solve the quadratic equation x²−16=0?
B. By factoring
A. By extracting the square root
C. By completing the square
D. By using the quadratic formula
the length of time required for money to quadruple in value at a simple interest rate of 6% per year is equal to
The length of time required for money to quadruple in value at a simple interest rate of 6% per year is equal to 25 years.
To calculate this, we can use the following formula:
A = P(1 + r)^t
Where:
A is the final amount of money
P is the initial amount of money
r is the interest rate
t is the number of years
In this case, we have:
A = 4P
r = 0.06
t = ?
Solving for t, we get:
t = (log(4) / log(1 + 0.06))
t = 25 years
Therefore, it will take 25 years for money to quadruple in value at a simple interest rate of 6% per year.
Learn more about Simple Interest.
https://brainly.com/question/33318433
#SPJ11
Guy is considering an investment that will pay $2,000 at the end of year 1; $1,500 at the end of year 2; $3,000 at the end of year 3; and, $400 at the end of year 4. rate for this investment is 6%, what would Guy be willing to pay today for this investment? If the current interest A) $6,900.00 B) $6,057.48 C) $5,989.00 D) $7,567.65 E) $7,134.54
Therefore, Guy would be willing to pay approximately $5,989.00 today for this investment based on the expected cash flows and the interest rate. The correct option is C) $5,989.00.
The formula for present value of a series of cash flows is given by:
\(PV = C1/(1+r)^1 + C2/(1+r)^2 + C3/(1+r)^3 + ... + Cn/(1+r)^n\)
Where:
PV is the present value,
C1, C2, C3, ..., Cn are the cash flows at different time periods,
r is the interest rate, and
n is the number of time periods.
In this case, the cash flows are $2,000, $1,500, $3,000, and $400, occurring at the end of year 1, year 2, year 3, and year 4, respectively. The interest rate (r) is 6%.
Substituting these values into the formula, we have:
\(PV = 2,000/(1+0.06)^1 + 1,500/(1+0.06)^2 + 3,000/(1+0.06)^3 + 400/(1+0.06)^4\)
Simplifying the expression:
\(PV ≈ 2,000/1.06 + 1,500/1.06^2 + 3,000/1.06^3 + 400/1.06^4\)
Using a calculator, we find that PV ≈ $5,989.00.
Learn more about number here:
https://brainly.com/question/3589540?
#SPJ11
What is the domain of H(t)?
The domain of the given function H (t) is 0 ≤ t ≤ 40.
What is the domain of a function?
The collection of all the values for which a function is defined is known as the domain of that function.
We are given that the height of a model rocket, H (t) is a function of time since it was launched, t.
From the graph, we can see that the value of t is represented on the x- axis is ranging from 0 to 40.
Hence, the domain of the given function H (t) is 0 ≤ t ≤ 40.
Learn more about domain from the given link
https://brainly.com/question/1369616
#SPJ1
abigail wanta to find three consecutive even integers whose sum is four times the smallest of those integers. she lets n represent the smallest integer, then writes this equation n + (n + 2) + (n + 4) = 4n
Step-by-step explanation:
first add all the n together
3n and 4n
add those together too
7n
now add 2+4
6 now
7n\-7n =6/-7n = -1n
2.) In a study of 1100 randomly selected medical malpractice lawsuits, it was found that 732 of them were dropped or dismissed. Construct a 90% confidence interval for the proportion of medical malpractice lawsuits that are dropped or dismissed.
Therefore, the 90% confidence interval for the proportion of medical malpractice lawsuits that are dropped or dismissed is (0.635, 0.695).
To construct a confidence interval for the proportion of medical malpractice lawsuits that are dropped or dismissed, we can use the following formula:
CI = p ± z*sqrt((p*(1-p))/n)
where:
- p is the sample proportion of lawsuits that are dropped or dismissed (p = 732/1100 = 0.665)
- z* is the critical value of the standard normal distribution at a 90% confidence level (from a standard normal distribution table, z* = 1.645 for a 90% confidence level)
- n is the sample size (n = 1100)
Substituting the values into the formula, we get:
CI = 0.665 ± 1.645*sqrt((0.665*(1-0.665))/1100)
= 0.665 ± 0.030
Therefore, the 90% confidence interval for the proportion of medical malpractice lawsuits that are dropped or dismissed is (0.635, 0.695). This means that we can be 90% confident that the true proportion of lawsuits that are dropped or dismissed is between 0.635 and 0.695.
For more details regarding lawsuits, visit:
https://brainly.com/question/30392587
#SPJ1
What are the properties of algebra?
The algebra properties are as follows: associative property , distributive property, identity property, inverse property.
As given in the question,
Properties of the algebra are as follow:
1. Associative property :
Let a, b, c be the three expressions
a. For addition:
( a + b ) + c = a + ( b + c )
b. For multiplication :
a × ( b × c ) = ( a × b ) × c
2. Distributive property:
Let a, b, c be the three expressions
For multiplication over addition:
a ( b + c ) = ab + ac
3. Identity property:
a. For addition:
a + 0 = a
b. for multiplication :
a × 1 = a
4. For inverse
For addition:
a + ( -a ) = 0
For multiplication:
a × ( 1 /a) = 1
Therefore, the four properties of the algebra are associative property , distributive property, identity property, inverse property.
Learn more about algebra here
brainly.com/question/24875240
#SPJ4
Solve for nnn.
7n-4 = 317n−4=317, n, minus, 4, equals, 31
n =n=n, equals
The value of the variable, n is 5
What is an algebraic expression?An algebraic expression can simply be defined as an expression that is composed of variables, coefficients, factors, constants and terms.
These mathematical expression called algebraic expressions are also composed of arithmetic operations, such as;
BracketMultiplicationAdditionParenthesesDivisionSubtractionExamples of algebraic expressions are;
2x + 18
2x² + 4
3y + 6
From the information given, we have that;
7n - 4 = 31
collect like terms
7n = 31 + 4
Add like terms
7n = 35
Make 'n' the subject of formula
n = 35/7
n = 5
Thus, the value is 5
Learn more about algebraic expressions here:
https://brainly.com/question/4344214
#SPJ1
Winnie has 7 soccer trophies she wants to display in an array .How many different arrays are possible ? Explain
Answer:
5040
Step-by-step explanation:
There are 7 ways to choose the first slot, 6 ways to choose the second slot, 5 ways to choose the third slot, 4 ways to choose the fourth slot, 3 ways to choose the fifth slot, 2 ways to choose the 6th slot, and 1 way to choose the last slot, so
7! = 7*6*5*4*3*2*1
7! = 7*6!
7! = 7 * 720
7! = 5040
Ben’s quiz grades on the first four quizzes were 62, 77, 73, and
81. What scores on the last quiz will allow him to finish with an
average of at least 75?
Ben needs to score at least 82 on the last quiz to finish with an average of at least 75.
What scores on the last quiz will allow Ben to finish with an average of at least 75, given that his scores on the first four quizzes were 62, 77, 73, and 81?To determine the scores Ben needs on the last quiz to finish with an average of at least 75, we can use the concept of average.
Ben has taken four quizzes and has received scores of 62, 77, 73, and 81. We can calculate his current average by summing up these scores and dividing by the number of quizzes (4).
Current average = (62 + 77 + 73 + 81) / 4 = 293 / 4 = 73.25To achieve an average of at least 75, Ben needs the sum of all five quiz scores to be at least (75 * 5) = 375. Since he has already scored 293 on the first four quizzes, he needs to score:
Score on the last quiz = Required total - Sum of first four quizzes
= 375 - 293= 82Therefore, Ben needs to score at least 82 on the last quiz to finish with an average of at least 75.
Learn more about last quiz to finish
brainly.com/question/30937960
#SPJ11
Given this expression:
29.3 x 10.8
How many decimal digits will the product have? Choose one.
1 decimal digit
2 decimal digits
3 decimal digits
Answer:
2 decimal places
Step-by-step explanation:
just simple count the number of decimal points on both sides
Please help me with the question please ASAP ASAP please ASAP
Answer:
V = 672; SA = 544; LA = 448
Step-by-step explanation:
3. A triangle has an area of 6 square inches and a perimeter of 12 inches.
Suppose it is dilated by some scale factor, and the area and perimeter of
the image are calculated. Match each graph with the relationship it
represents.
A. Graph A
B. Graph B
C. Graph C
D. Graph D
1. Scale factor is the x-value; perimeter is the y-value
2. Scale factor is the x-value; area is the y-value
3. Perimeter is the x-value; scale factor is the y-value
4. Perimeter is the x-value; scale factor is the y-value
So, the correct graph should have the scale factor on the x-axis and the area on the y-axis. This is Graph B. The other graphs do not correctly represent the relationship between the scale factor, area, and perimeter.
What is graph?There are different types of graphs, including directed graphs (also called digraphs), where each edge has a direction, and undirected graphs, where each edge has no direction. Graphs can also be weighted, meaning that each edge has a value associated with it, or unweighted, where all edges have the same value.
Graphs can be represented visually, using diagrams that show the vertices as points and the edges as lines or arrows connecting them. Graphs are used in a variety of applications, including computer algorithms, data analysis, and optimization problems.
by the question.
The area of the original triangle is 6 square inches, and the perimeter is 12 inches. Let the lengths of the sides be a, b, and c. Then, we have:
\(a + b + c = 12\) (perimeter)
\(s = (a + b + c)/2 = 6\) (semi perimeter)
\(A =\sqrt(s(s-a)(s-b)(s-c)) = 6\) (area)
Simplifying the equations, we get:
\(a + b + c = 12\)
\(a + b + c - 2a - 2b - 2c = 0\)
\(-a - b - c = -12\)
\(-a - b - c + 2a + 2b + 2c = 0\)
\(a + b + c = 0\)
Therefore, the centroid of the original triangle is at the origin (0,0).
When the triangle is dilated by a scale factor of k, the new area and perimeter are given by:
\(A' = k^2A = 6k^2\)
\(P' = kP = 12k\)
To learn more about scale factor:
https://brainly.com/question/30215044
#SPJ1
Question 1
Find the midpoint of the line segment with these
endpoints: (7,-6), (-6, -8)
A) (-18, -10)
B) (6.5, 1)
C) (0,5)
D) (.5, -7)
OB
OC
OA
OD
10 pts
Answer:
D
Step-by-step explanation:
(7+-6)/2
(7-6)/2
1/2
(-6+(-8)/2
(-6-8)/2
-14/2
-7
(.5,-7)
(-9.5) to the power of 0
Calculate E(X) and then E(5−X). E(X)=
E(5−X)=
(b) Would the repair facility be better off charging a flat fee of $55 or else the amount $[ (5−X)
150
]?[ Note: It is not generally true that E( Y
c
)= E(Y)
c
.] The repair facility be better off charging a flat fee of $55 because E[ (5−X)
150
]=
- E(X) = 2.5
- E(5 – X) = 2.5
- The repair facility should charge a flat fee of $55 because E[(5 – X)/150] is not equal to 2.5.
E(X) = E(5 – X) = 5 – E(X)
To calculate E(X), we can use the equation E(X) = 5 – E(X) and solve for E(X):
2E(X) = 5
E(X) = 5/2 = 2.5
For E(5 – X), we substitute E(X) with its value:
E(5 – X) = 5 – E(X)
E(5 – X) = 5 – 2.5
E(5 – X) = 2.5
The repair facility would be better off charging a flat fee of $55 because E[(5 – X)/150] does not equal 2.5.
The expected value (E(X)) represents the average value of a random variable. In this case, E(X) and E(5 – X) are calculated. We find that E(X) is equal to 2.5, meaning on average, the repair facility expects a value of $2.5 per repair.
The repair facility is considering two pricing options: a flat fee of $55 or a fee of [(5 – X)/150]. To determine which option is better, we compare the expected values. However, E[(5 – X)/150] does not equal 2.5. Therefore, the repair facility would be better off charging a flat fee of $55.
The final answers state the values of E(X) and E(5 – X), and then explain that the repair facility should choose the $55 flat fee because E[(5 – X)/150] is not equal to 2.5.
Learn more about Average here: brainly.com/question/33085858
#SPJ11
How many cups of flour are needed to mix with 1 cup of water?
Answer:
It depends.
Step-by-step explanation:
It completely depends on the hydration you'd like of dough, for example if you'd like 60% hydration for pizza dough, you use 60% flour in comparison to water.
Good luck :)
(you can check for specific amounts online, those are pretty helpful. I myself am not too good at all the measurements apart from knowing this one!)