Step-by-step explanation:
\( {( {( - 5)}^{7} )}^{3} = {( - 5)}^{7 \times 3} = {( - 5)}^{21} \)
the mean and the standard deviation of a normal population are called statistics . the mean and the standard deviation of a random sample from a population are called .
The mean and standard deviation of a normal population are called parameters, and the mean and standard deviation of a random sample in the population are called statistics.
Normally distributed data:
In a normal distribution, data is distributed symmetrically without asymmetry the data are probabilities whose distribution is symmetrical with respect to the mean.
The normal distribution is symmetric, unimodal and asymptotic, and the mean, median and mode are all equal.
In statistics, standard deviation is a measure of the amount of variation or distribution of a set of values. A low standard deviation indicates that the values tend to be close to the ensemble mean (also called the expected value), while a high standard deviation indicates that the values are spread over a wide range.
For solving the problems are :
The average of the data is the average of the given data. The standard deviation of the data is half the difference between the highest value in the data set and the mean.
These numbers that summarize information about a sample are called statistics.
The numbers that summarize information about a population are called parameters.
Numbers that summarize information about a sample are called statistics.
Learn more about Mean:
https://brainly.com/question/31101410
#SPJ4
Answer:
(B) Parameters
(A) Statistics
Step-by-step explanation:
egg 2023
The distance traveled by a falling object is modeled by the equation below, where s is the distance fallen, g is gravity, and t is time.
If s is measured in meters and t is measured in seconds, what units is g measured in?
Answer: The units of g are meters/second^2
Step-by-step explanation: The distance fallen by a falling object is modeled by the equation s=1/2gt^2, where g is the acceleration due to gravity. The units of s are meters and the units of t are seconds. Therefore, the units of g can be found by rearranging the equation to solve for g, which gives g=2s/t^2. Substituting the units of s and t, we get g=2 meters/second^2.
Therefore, the units of g are meters/second^2.
Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options.
18 x minus 15 = 72
50 x minus 25 = 72
18 x minus 9 = 72
3 (6 x minus 3) = 72
x = 4.5
Jennifer made these measurements on ABC,BC must be-?
Answer:
between 10 and 12
Step-by-step explanation:
Given the measure of angles:
m∠B = 70°
m∠C = 60°
m∠A = 50°
We know m∠B = 70° because the sum of interior angles in a triangle is equal to 180°.Following this information, since the side lengths are directly proportional to the angle measure they see:
Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.
Angle C is the smallest angle, so the side AB is the shortest side.
Therefore, side BC must be between 10 and 12 inches.
a car dealer is interested in comparing the average gas mileages of four different car models. the dealer believes that the average 29 38 26 24
The F-check statistic:
F ≈ 4.41 (rounded to two decimal places)
To decide if there is a giant difference in the average gasoline mileage of the four automobile fashions, we will perform an evaluation of variance (ANOVA) with the use of the randomized block design. In this layout, the drivers act as blocks, and the gas mileages of the automobiles are compared within every block.
First, permits calculate the common gasoline mileage for every vehicle:
Car A: (23 + 37 + 39 + 34 + 27) / 5 = 32
Car B: (39 + 39 + 40 + 36 + 35) / 5 = 37.8
Car C: (22 + 28 + 21 + 27 + 26) / 5 = 24.8
Car D: (25 + 39 + 25 + 33 + 37) / 5 = 31.8
Next, we calculate the general suggests:
Overall imply: (32 + 37.8 + 24.8 + 31.8) / 4 = 31.85
Now, we are able to calculate the sum of squares for remedies (SST), the sum of squares for blocks (SSB), and the sum of squares overall (SSTotal).
SST: [(32 - 31.85)² + (37.8 - 31.85)² + (24.8 - 31.85)² + (31.8 - 31.85)²] * 5 = 153.475
SSB: [(32 - 28.6)² + (37.8 - 35.8)² + (24.8 - 24.8)² + (31.8 - 34.8)²] * 4 = 46.4
SSTotal: SST + SSB = 153.475 + 46.4 = 199.875
Now, we can calculate the suggested squares:
MST: SST / (4 - 1) = 153.475 / 3 = 51.158
MSB: SSB / (5 - 1) = 46.4 / 4 = 11.6
Finally, we can calculate the F-check statistic:
F = MST / MSB = 51.158 / 11.6 ≈ 4.41 (rounded to two decimal places)
To determine if the F-take a look at statistic is statistically sizable, we might evaluate it to the important F-fee at a given significance degree (e.G., 0.05). If the calculated F-value is bigger than the critical F-fee, we will conclude that there is a large distinction within the average gas mileage of the four car models.
To know more about average,
https://brainly.com/question/28798526
#SPJ4
The correct question is:
what does 5+3x/2 equal?
i dont konw what the dash is so im going to do both, the one where its a fraction and just division. The first one will be as regular divison.
1- It will equal .25
2-it would equal 3.3
I have no idea which one you need or which one will help but hopefully one of these will be helpful.
Paul has thirteen coins in his piggy bank. Some of the coins are quarters, some are nickels, and he has a total of $3.55. Which system of equations can be used to determine how many quarters, x, and how many nickels, y, he has?
A.
x + y = 13
0.25x + 0.5y = 3.55
B.
x + y = 13
0.25x + 0.05y = 3.55
C.
x + y = 13
25x + 5y = 3.55
D.
x + y = 3.55
0.25x + 0.05y = 13
Answer:
The answer is B
Step-by-step explanation:
you know that x is quarters which is .25 and you know that y is nickels which is .05
there are a total of 13 coins in the bank so x+y = 13
you also know that the 13 coins = 3.55
so plug in all that you know and the problem is
0.25x + 0.05y = 3.55
write an equation for a degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and has a y-int at 5..
The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:
y = -5/12(x - 3)(x - 2)²(x + 1)³.
How to define the polynomial?The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.
The zeros of the function, along with their multiplicities, are given as follows:
Zero at x = 3 with a multiplicity of 1.Zero at x = 2 with a multiplicity of 2.Zero at x = -1 with a multiplicity of 3.Then the linear factors of the function are given as follows:
(x - 3).(x - 2)².(x + 1)³.The function is then defined as:
y = a(x - 3)(x - 2)²(x + 1)³.
In which a is the leading coefficient.
When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:
5 = -12a
a = -5/12
Hence the polynomial is:
y = -5/12(x - 3)(x - 2)²(x + 1)³.
More can be learned about functions at https://brainly.com/question/24808124
#SPJ1
Describe the slope of the line.
(In image)
Answer:
The slope is negative, and m = -3/5
Step-by-step explanation:
The line is going down, so the slope is negative, and using the slope formula, m = -3/5.
In your reservoir, you have a production well which flows for 48 hours at 200 STB/day, and then shut-in for 24 hours. The following additional data are given : Pi = 3100 psi Ct = 15x10^-6 psi^-1 Bo = 1.3 bbl/STB ϕ = 15% μ=1.2 cp K = 45 md and h = 60 ft
a-) Calculate the pressure in this production well at 12 hours of shut in
b-) Explain how can you use superposition in time to analyze a pressure build-up test.
a) To calculate the pressure at 12 hours of shut-in:
substitute the given values into the pressure buildup equation and solve for P(t=12).
b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.
We have,
a) To calculate the pressure in the production well at 12 hours of a shut-in, we can use the equation for pressure transient analysis during shut-in periods, known as the pressure buildup equation:
P(t) = Pi + (Q / (4πKh)) * log((0.14ϕμCt(t + Δt)) / (Bo(ΔP + Δt)))
Where:
P(t) = Pressure at time t
Pi = Initial reservoir pressure
Q = Flow rate
K = Permeability
h = Reservoir thickness
ϕ = Porosity
μ = Viscosity
Ct = Total compressibility
t = Shut-in time (12 hours)
Δt = Time since the start of the flow period
Bo = Oil formation volume factor
ΔP = Pressure drop during the flow period
Given:
Pi = 3100 psi
Q = 200 STB/day
K = 45 md
h = 60 ft
ϕ = 15%
μ = 1.2 cp
Ct = 15x10^-6 psi^-1
Bo = 1.3 bbl/STB
t = 12 hours
Δt = 48 hours
ΔP = Pi - P(t=Δt) = Pi - (Q / (4πKh)) * log((0.14ϕμCt(Δt + Δt)) / (Bo(ΔP + Δt)))
Substituting the given values into the equation:
ΔP = 3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15x\(10^{-6}\) * (48 + 48)) / (1.3 * (3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15 x \(10^{-6}\) * (48 + 48)) / (1.3 * (0 + 48))))))
After evaluating the equation, we can find the pressure in the production well at 12 hours of shut-in.
b) Superposition in time is a principle used in pressure transient analysis to analyze and interpret pressure build-up tests.
It involves adding or superimposing the responses of multiple transient tests to simulate the pressure behavior of a reservoir.
The principle of superposition states that the response of a reservoir to a series of pressure changes is the sum of the individual responses to each change.
Superposition allows us to combine the information obtained from multiple tests and obtain a more comprehensive understanding of the reservoir's behavior and properties.
It is a powerful technique used in reservoir engineering to optimize production strategies and make informed decisions regarding reservoir management.
Thus,
a) To calculate the pressure at 12 hours of shut-in:
substitute the given values into the pressure buildup equation and solve for P(t=12).
b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ12
Plz help I will mark you brainlist plz
Answer:
C
Step-by-step explanation:
The pre-image of a reduction is always bigger. Reduction means to "get smaller," so the pre-image needs to be bigger than the ending image.
Answer:
C i think is the answer
9.36 as an improper fraction
Answer: 13/10
Step-by-step explanation:
Please answer I give brainlist.
Answer:
8. 14.7≅15 9. 2.88 10. 0.27 11. 125% 12. 62
Step-by-step explanation:
find the vector, not with determinants, but by using properties of cross products. (i × j) × k
(i × j) × k = 0, is the vector, not with determinants, but by using properties of cross products.
What is cross product?The procedure for multiplying two vectors is called the cross product of the two vectors. The sign(×) of multiplication between two vectors indicates a cross product. It is a three-dimensional system-defined binary vector operation.
A cross product in three dimensions is a binary operation on two vectors. It generates a vector that is parallel to both vectors. A and B together form a vector product, which is represented by the symbol a b. The vector that results from it is parallel to both a and b. Cross products and vector products are similar terms.
As we know,
i × j = | i | × | j | × sin 90° × k
or, i × j = 1 × 1 × 1 × k
or, i × j = k
thus, (i × j) × k = k × k
or, (i × j) × k = 0
To know more about cross products refer to:
https://brainly.com/question/29178479
#SPJ4
Question 3Score=0 (from 4 marks) If you start with a 522 gram block of pure C14, what mass of C14 remains after 3229 years? Provide your answer to TWO decimal places, using the normal convention. Pad with zeros if necessary. Mass of C14 at 3229 years (g)=353.32
The question requires us to determine the mass of C14 that remains after a specific number of years. C14 is a radioactive isotope of Carbon with a half-life of 5,730 years. This means that after every 5,730 years, half of the initial amount of C14 present will decay.
The formula for calculating the amount of a substance remaining after a given time is given by the equation: A = A₀ e^(-kt) where:A = amount of substance remaining after time tA₀ = initial amount of substancek = decay constantt = time elapsed.
The decay constant (k) can be calculated using the formula:k = ln(2)/t½where:t½ is the half-life of the substanceWe are given the initial mass of C14 as 522 grams and the time elapsed as 3229 years. We can first calculate the decay constant as follows:k = ln(2)/t½ = ln(2)/5730 = 0.000120968.
Next, we can use the decay constant to calculate the amount of C14 remaining after 3229 years:A = A₀ e^(-kt) = 522 e^(-0.000120968 × 3229) = 353.32 gTherefore, the mass of C14 that remains after 3229 years is 353.32 g.
We can find the mass of C14 remaining after 3229 years by using the formula for radioactive decay. C14 is a radioactive isotope of Carbon, which means that it decays over time. The rate of decay is given by the half-life of the substance, which is 5,730 years for C14. This means that after every 5,730 years, half of the initial amount of C14 present will decay. The remaining half will decay after another 5,730 years, and so on.
We can use this information to calculate the amount of C14 remaining after any given amount of time. The formula for calculating the amount of a substance remaining after a given time is given by the equation: A = A₀ e^(-kt) where:A = amount of substance remaining after time tA₀ = initial amount of substancek = decay constantt = time elapsed.
The decay constant (k) can be calculated using the formula:k = ln(2)/t½where:t½ is the half-life of the substanceIn this case, we are given the initial mass of C14 as 522 grams and the time elapsed as 3229 years.
Using the formula for the decay constant, we can calculate:k = ln(2)/t½ = ln(2)/5730 = 0.000120968Next, we can use the decay constant to calculate the amount of C14 remaining after 3229 years:A = A₀ e^(-kt) = 522 e^(-0.000120968 × 3229) = 353.32 g.
Therefore, the mass of C14 that remains after 3229 years is 353.32 g.
We have determined that the mass of C14 that remains after 3229 years is 353.32 grams. This was done using the formula for radioactive decay, which takes into account the half-life of the substance.
The decay constant was calculated using the formula:k = ln(2)/t½where t½ is the half-life of the substance. Finally, the formula for the amount of a substance remaining after a given time was used to find the mass of C14 remaining after 3229 years.
To know more about rate of decay:
brainly.com/question/30068164
#SPJ11
Figure ABCD is a rectangle.Find the value of x. help !!!
Answer:
x=1solution,
In rectangle, the diagonal bisects each other,
BE=ED
\(2x + 4 = 7x - 1 \\ or \: 2x - 7x = - 1 - 4 \\ or \: - 5x = - 5 \\ or \: x = \frac{ - 5}{ - 5} \\ x = 1\)
Hope this helps..
Good luck on your assignment..
if a runner races 50 meters in 5 seconds, how fast is she going?
Answer:
10 m/s
Step-by-step explanation:
The phrase "how fast she is going" tells us that we need to find her speed.
To find her speed, we need to take her distance (50 meters) and divide it by the time (5 seconds):
Runner's Speed = Distance ÷ Time
Runner's Speed = 50 ÷ 5
Runner's Speed = 10 m/s
Hence, the girl's speed is 10 m/s
For the given scenario, determine the type of error that was made, if any. (Hint: Begin by determining the null and alternative hypotheses.) A pharmaceutical company claims only 2% as the percentage of people taking a particular drug that experience significant side effects. One researcher claims that the percentage of people taking a particular drug that experience significant side effects is different from 2%. The researcher conducts a hypothesis test and fails to reject the null hypothesis. Assume that in reality, the percentage of people taking a particular drug that experience significant side effects is 2%. Was an error made?
The researcher's conclusion aligns with the reality of the situation, where the actual percentage of people experiencing significant side effects from the drug is indeed 2%.
To determine if an error was made in the given scenario, we need to analyze the researcher's hypothesis test and compare it to the reality of the situation.
Null Hypothesis (H₀): The percentage of people taking the drug that experience significant side effects is equal to 2%.
Alternative Hypothesis (H₁): The percentage of people taking the drug that experience significant side effects is different from 2%.
In this case, the researcher conducted a hypothesis test and failed to reject the null hypothesis. This means that the researcher did not find sufficient evidence to support the claim that the percentage of people experiencing significant side effects from the drug is different from 2%.
Now, considering the reality of the situation, which states that the actual percentage of people experiencing significant side effects from the drug is indeed 2%, we can evaluate the possible errors that could have been made in the hypothesis test.
There are two types of errors that can occur in hypothesis testing:
1. Type I Error: This occurs when the null hypothesis is rejected, but it is actually true. In this scenario, the researcher failed to reject the null hypothesis, which means they did not commit a Type I Error.
2. Type II Error: This occurs when the null hypothesis is not rejected, but it is actually false. In this case, since the researcher failed to reject the null hypothesis and the null hypothesis is actually true (the actual percentage is 2%), the researcher did not commit a Type II Error either.
Therefore, based on the information provided, no error was made in the hypothesis testing process. The researcher's conclusion aligns with the reality of the situation, where the actual percentage of people experiencing significant side effects from the drug is indeed 2%.
Learn more about percentage here
https://brainly.com/question/24304697
#SPJ11
Jackie weighed an Amazon box that was delivered to her home.The box weighed 192 ounces.How much does the box weight in pounds
Answer:
12 pounds
Step-by-step explanation:
You have to divide the mass value by 16.
Use the given line below to answer parts 1 and 2. Include your work in your final answer. Type your answer in the box provided to submit your solution. 2 (2, 1) -5- (20) F Part 1: Use the graph to count the slope of the line that passes through the points (2, 1) and (2, 0). Part 2: In two or more complete sentences, explain why it is not possible to write the equation of the given line in the traditional version of the point-slope form of a line.
Answer:1.f=2-(20)
2.21 ---2=F
Step-by-step explanation:Dats my answer in my paper
PLEASE HELP MY ASSIGNMENTS DUES TODAY JUST NEED HELP WITH 1 QUESTION PLEASE
The maximum value of the function is approximately 67,179.6 at x ≈ 29.5, and the minimum value of the function is approximately -27,512.5 and occurs at x ≈ -6.5.
We are given the quadratic equation as;
\(y = \dfrac{2}{3} x^{2} + \dfrac{5}{4} x- \dfrac{1}{3}\)
Solving the equation ;
\(y = \dfrac{2}{3} x^{2} + \dfrac{5}{4} x- \dfrac{1}{3} \\\\\\y = \dfrac{8x^{2} + 15x - 4}{12}\)
Using the second formula, we see that the roots of the equation
x = (-(-100) ± √((-100)² - 4(3)(-200))) / (2(3))
x = (-(-100) ± √(10000 2400)) / 6
x = (-(-100) ± √(12400)) / 6
x = (100 ± 20 √(31)) / 3
To determine whether these are maximum or minimum points,
y''(x1) = -6((100 √(31)) / 3) = -200 - 40√(31) < 0 is a local minimum
Learn more about solutions of a quadratic equation here:
https://brainly.com/question/15582302
#SPJ1
20 POINTS
what is the vertex of this quadratic function
Answer:
(-4,-9)
Step-by-step explanation:
vertex form: y=a(x-h)^2+k
hk=vertex of x and y
inside parentheses=horizontal (opposite signs)
that’s why it’s -4 instead of 4 for h (x) while -9 stays the same since it’s not inside the parentheses
of the 27 tasks available, 3 will pay $1000, 5 will pay $500, 10 will pay $200, and 9 will pay $100. you are assigned two tasks. what is the probability that you will make at least $1300?
The probability that you will make at least $1300 is 2/39 or 0.0513.
Probability is defined as the likeliness of an event to occur. The probability of any event to occur ranges from 0 to 1, and the sum of all the probabilities of all the events happening is 1.
probability = desired outcome / total outcomes
Using combinations, if there are 27 tasks available, then there are 351 combinations of two tasks assigned.
27C2 = 351
Also, count how many ways you could make at least $1300.
# ways = 2 of $1000 each or 1 of $1000 and 1 of $500
# ways = (3C2) + (3 x 5)
# ways = 3 + 15
# ways = 18
Solve for the probability by dividing the number of the desired outcomes by the number of total possible outcomes.
probability = desired outcome / total outcomes
probability = 18 / 351
probability = 2/39 or 0.0513
Learn more about probability here: brainly.com/question/6649771
#SPJ4
At the grocery store, Thomas wants to buy 3 pumpkins for $2.49 per pumpkin and a turkey for $17.95. Thomas has a coupon for half off the price of the turkey. If Thomas has $15, does he have enough money? Explain your answer.
Answer:
no
Step-by-step explanation:
no because if he has 15.00 and the turkey is 17.95 then it is way over price
The unshaded area inside the figure to the right is 648 in.² Use this fact to write an equation involving x. Then solve the equation to find the value of x.
Length of rectangle is 40 inches
Width of rectangle is 22 inches
Border inside rectangle is x
The second order polynomial that involves the variable x (border inside the rectangle) and associated to the unshaded area is x² - 62 · x + 232 = 0.
How to derive an expression for the area of an unshaded region of a rectangle
The area of a rectangle (A), in square inches, is equal to the product of its width (w), in inches, and its height (h), in inches. According to the figure, we have two proportional rectangles and we need to derive an expression that describes the value of the unshaded area.
If we know that A = 648 in², w = 22 - x and h = 40 - x, then the expression is derived below:
A = w · h
(22 - x) · (40 - x) = 648
40 · (22 - x) - x · (22 - x) = 648
880 - 40 · x - 22 · x + x² = 648
x² - 62 · x + 232 = 0
The second order polynomial that involves the variable x (border inside the rectangle) and associated to the unshaded area is x² - 62 · x + 232 = 0. \(\blacksquare\)
To learn more on polynomials, we kindly invite to check this verified question: https://brainly.com/question/11536910
is it possible to choose (2n 1)^2 points in the disc of radius n such that the distance between any two of them is greater than 1?
Answer: its (4f 5) ^3
Step-by-step explanation:
Find the Taylor series for f(x) centered at the given value of a.f(x) = 1/x, a = 3Find the associated radius of convergence R.
The Taylor series for the function f(x) = 1/x centered at a = 3 is given by:
1/(x-3) = -1/(3-x) = -1/3 - (x-3)/9 - (x-3)²/27 - (x-3)³/81 - ...
This is a Maclaurin series with the associated radius of convergence R = ∞, since the function is analytic everywhere except at x = 3.
To derive the Taylor series, we first find the derivatives of f(x) = 1/x:
f'(x) = -1/x², f''(x) = 2/x³, f'''(x) = -6/x⁴, f⁴(x) = 24/x⁵, ...
Evaluating these derivatives at x = 3 gives:
f(3) = 1/3, f'(3) = -1/9, f''(3) = 2/27, f'''(3) = -6/81, f⁴(3) = 24/243, ...
Using these values, we can write the Taylor series in sigma notation as:
1/(x-3) = Σ (-1)ⁿ (x-3)ⁿ / 3ⁿ⁺¹, n = 0 to ∞
This series converges for all x such that |x-3| < 3, which gives us the radius of convergence R = 3.
Learn more about Maclaurin series here: brainly.com/question/28332433
#SPJ11
What is 380.5 rounded to the nearest whole number
Answer:
It will be 381. You round up if it is five and over, and round down if 5 and below.
Step-by-step explanation:
A decimal cannot be a whole number so rounding to the nearest whole number means getting rid of the decimal. You do this by rounding up if it 5 and up, and rounding down if it is 5 and below. 380.5 means you would round up to 381. If it it were 380.4, you would round down to 380.
Answer:
381
Step-by-step explanation:
any number 5 and over will round up
equation 1: 3x - 5y = 4
equation 2: -2x + 6y= 18
Answer:
1.x=4+5y/3
2.x=3y−9
Step-by-step explanation:
A key feature of a case-control study is that: (Select that all apply) A. It is generally used to explore rare diseases B. It is limited to health exposures and behaviors rather than health outcomes C. The comparison groups are those with a disease and those without the disease D. Once the comparison groups are identified, the exposure history will be obtained.
The main features of a case-control study is that:
A. It is generally used for exploring the rare diseases
C. The comparison groups are those with a disease and those without the disease
D. Once the comparison groups are identified, the exposure history can be obtained easily.
The correct answers are C and D. A case-control study compares individuals with a particular disease (cases) to those without the disease (controls) and investigates the potential exposures or behaviors that may have contributed to the development of the disease.
Therefore, the comparison groups are those with the disease and those without the disease, and once these groups are identified, the exposure history is obtained. The study is not limited to health exposures and behaviors but rather focuses on any potential risk factors. Case-control studies are often used to explore rare diseases because they are more efficient in identifying potential risk factors than cohort studies.
While case-control studies can be limited in some aspects, they are valuable for examining health exposures and behaviors in relation to health outcomes, rather than being limited to only one or the other.
Learn more about Case-Control study:
brainly.com/question/31379192
#SPJ11