During boarding and deplaning, the minimum number of flight attendants mandated by the FAA for dispatch must be present on the aircraft.
Before a pilot can work for an airline that operates scheduled flights with aircraft that have 30 or more seats under Part 121, the FAA mandates that they have logged at least 1,500 flying hours. There are a few exclusions, such as the possibility of reducing this requirement by half, to only 750 hours, for former military pilots.
Republic requested that the FAA relax the 1,500-hour requirement for employing pilots due to the severe pilot shortage. The airline said that after 750 hours, pilots will be more than capable of taking the controls of a regional plane because Republic had its own aviation academy.
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2 Points
Chelsea saw an advertisement for a loan that offered 6 months, same as
cash. If she takes the loan, which of these scenarios is most likely to occur?
O
A. Chelsea won't be charged interest for the first 6 months of the
loan, but she will have to make payments for the first 6 months.
O
B. Chelsea will be charged interest for the first 6 months of the loan,
and she will also have to make payments for the first 6 months.
O
C. Chelsea will be charged interest for the first 6 months of the loan,
but she won't have to make payments for the first 6 months.
D. Chelsea won't be charged interest for the first 6 months of the
loan, nor will she have to make payments for the first 6 months.
Based on the information provided regarding same as cash loans, Chelsea won't be charged interest for the first 6 months of the loan, nor will she have to make payments for the first 6 months. (Option D)
A Same-As-Cash Loan refers to a short-term lending solution in which no interest or monthly payment are required to be paid during a set “Same-As-Cash” period. At the end of a predetermined period, the loan is paid off. Hence, the customer owes no interest or monthly payments during a set promotional period and pays the same amount on the loan as they would have paid up front with cash. These are interest deferred loans in which the loans interest still accrues during that promotional period, however if the customer pays off the entire principal balance before the period ends, they are not required to pay that interest. The advantage of these loans is that customers may spend the same amount they would have if they had paid with cash up front. Hence, if Chelsea opts for loan that offered 6 months, same as cash, there would be no requirement of payment or interest charged for the 6 months.
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Select the correct answer from each drop-down menu.
A system of equations and its solution are given below.
System A
- y = 7
-31 + $y = -39
Solution: (4,-3)
Complete the sentences to explain what steps were followed to obtain the system of equations below.
System B
1- y = 7
by = -18
To get system B, the
equation in system A was replaced by the sum of that equation and
equation. The solution to system B
the same as the solution to system A.
times the
Answer: Solution: (4,-3)
Complete the sentences to explain what steps were followed to obtain the system of equations below.
System B
1- y = 7
by = -18
To get system B, the
equation in system A was replaced by the sum of that equation and
equation. The solution to system B
the same as the solution to system A.
times the
Step-by-step explanation:
consider the hypotheses in a hypothesis test. is an alternative hypothesis a statement about a parameter or a statistic? group of answer choices not enough information is given statistic could be either, depending on the context parameter
The hypothesis in a hypothesis test is an alternative hypothesis a statement about a parameter.
An alternative hypothesis in a hypothesis test is a statement about a parameter, not a statistic. The null hypothesis is typically a statement about a parameter that assumes there is no significant difference or relationship, while the alternative hypothesis is a statement that contradicts the null hypothesis and suggests there is a significant difference or relationship.
The alternative hypothesis can take one of three forms: it can be a one-tailed hypothesis (either greater than or less than the null hypothesis), or a two-tailed hypothesis (not equal to the null hypothesis). In all cases, the alternative hypothesis is a statement about the population parameter, which is typically denoted by a Greek letter such as μ (mean) or σ (standard deviation).
Therefore, the alternative hypothesis is a statement about the parameter being tested.
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gwendolyn was physically present in the united states for 93 days in 2023, 189 days in 2022, and 48 days in 2021. under the substantial presence test formula, how many days is gwendolyn deemed physically present in the united states in 2023?
Gwendolyn is deemed physically present in the United States for 93 days in 2023 under the substantial presence test formula.
The substantial presence test is used by the United States Internal Revenue Service (IRS) to determine if a person qualifies as a resident for tax purposes based on their physical presence in the United States.
The formula for calculating the substantial presence test is as follows:
(Number of days present in the current year) + (1/3 of the number of days present in the first preceding year) + (1/6 of the number of days present in the second preceding year)
Using this formula, we can calculate Gwendolyn's total days of physical presence in the United States for the three years:
2021: 48 days
2022: 189 days
2023: 93 days
Plugging in the values into the formula:
93 + (1/3 * 189) + (1/6 * 48) = 93 + 63 + 8 = 164
Since the result is less than 183 days, Gwendolyn is not considered a resident for tax purposes in 2023. However, her presence in the United States will still be taken into account for determining her tax obligations.
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A soccer ball kicked with an initial velocity of 39 ft/sec and an angle of 44° with the ground. Find the parametric equations that model the motion. What was its maximum height?
step by step please asap
The soccer ball reaches a maximum height of approximately 34.8 feet.
How to solveThe parametric equations for the motion of the soccer ball are:
x(t) = 39*cos(44°)t ≈ 26.9t
y(t) = \(39\sin(44)*t - 16t^2\) ≈ \(22.7t - 16t^2\)
where t is the time elapsed since the ball was kicked.
To find the maximum height of the ball, we need to find the vertex of the parabolic trajectory given by y(t).
The maximum height occurs at the vertex, which is at the time t = -b/2a, where a = -16 and b = 39*sin(44°).
So, t = -b/2a ≈ 1.1 seconds.
Substituting this value of t into the equation for y(t), we get the maximum height:
y(max) = \(39*\sin(44)1.1 - 16(1.1)^2 = 34.8 feet.\)
Therefore, the soccer ball reaches a maximum height of approximately 34.8 feet.
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The sum of two numbers is 18 and their difference is 6.
What are the two numbers?
Larger number
Smaller number
Answer:
Large number=12
Smaller number=6
Step-by-step explanation:
Let the two numbers be x and y
x+y=18
x-y=6
Evaluate -8 × |2|.
-16
-10
16
10
Answer:
\( - 8 \times |2 = - 16| \)
What is 2(x-4)+4(45x+6)
Answer:
182x + 16
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
2(x - 4) + 4(45x + 6)
Step 2: Simplify
Distribute: 2x - 8 + 180x + 24Combine like terms (x): 182x - 8 + 24Combine like terms (Z): 182x + 16Answer:
Step-by-step explanation:
here you go mate
step 1
2(x-4)+4(45x+6) equation
step2
2(x-4)+4(45x+6) distribute
(2)(x)+(2)(-4)+(4)(45x)+(4)(6)
2x+(-8)+180x+24
step 3
2x+-8+180x+24 combine the like terms
(2x+180x)+(-8+24)
182x+16
What is the area of the triangle?
6 ft.
3 ft.
Answer:
9ft
Step-by-step explanation:
You multiply 6 and 3 then you divided by 2
Hope it helps
When the dollar price of pounds rises, for example, from $1 = 1 pound to $2 = 1 pound, the dollar has ______ relative to the pound.
The dollar gains depreciated relative to the pound when the price of pounds in dollars increases, for instance, from $1 = 1 pound to $2 = 1 pound.
What is Depreciated relative?Devaluation of a currency can take place in both absolute and relative terms. When the value of one currency declines in relation to the values of other currencies, this is referred to as a relative devaluation. For instance, the British pound sterling may be worth more today than it did yesterday in terms of US dollars.
A currency's value declines when compared to other currencies, which is known as currency depreciation. Political unrest, interest rate differences, weak economic fundamentals, and investor risk aversion are a few examples of the causes of currency devaluation.
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2a. complete the table for values for the equation y=3x+4 X0 1 2 Y b. Plot the coordinates from the table. Join them with a straight line. Extend your straight line to y=-2 d. Write three pairs of negative x- and y-coordinates that lie on the line y = 3x + 4. 4 5x
Y = 3(-3) + 4 = -5 when x is equal to 3. Hence, the final set of negative x- and y-coordinates is (-3, -5).
what is coordinates ?A set of numbers known as coordinates describes a point or object's location in a given space or coordinate system. When representing a spot's location in a plane or three-dimensional space, coordinates are frequently expressed as x or triples in mathematics. Depending also on system being utilised, several values can be used to represent coordinates, although often, integers or real numbers are used to express them.
given
We can substitute negative values for x and solve for y to obtain three pairs of negative x and y coordinates that lie on the line y = 3x + 4.
With x = 1, y = 3(-1), plus 4, equals 1. Hence, one set of negative x and y coordinates is (-1, 1).
Y = 3(-2) + 4 = -2 when x is equal to 2. In light of this, another set of negative x- and y-coordinates is (-2, -2).
Y = 3(-3) + 4 = -5 when x is equal to 3. Hence, the final set of negative x- and y-coordinates is (-3, -5).
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The equation of the line through (2,-5) and parallel to the line x+3y-9=0is:
Answer:
x + y = -13
Step-by-step explanation:
The equation of a line is y=mx+c
Line x+3y-9=0
Let's rearrange.
3y= -x+9
Divide both sides by 3.
3y/3 = -x/3 +9/3
y= -x/3 + 3
The gradient is the coefficient of x which is -1/3.
Therefore, m1 = -1/3
Where m1 is the gradient of the first line.
When two lines are parallel, their gradients are equal.
Therefore m1=m2
Where m2 is the gradient of the second line.
Therefore m2=-1/3
Now, we need to find c.
(2,-5)
Here, x=2, y=-5
y=mx+c
-5 = -1/3(2) + c
-5 = -2/3 + c
-5 + 2/3 = c
This can also be written as...
c = -5 +2/3
The LCM is 3.
The addition will give -13/3.
Now, let's create the equation We have m2 and c.
y = mx + c
y = -1/3(x) + (-13/3)
Take note of the signs, (+), and (-).
y = -x/3 - 13/3
Multiply both sides by 3 to remove the denominators.
(3)y = (3)-x/3 - (3)13/3
y = -x - 13
Or
x + y = -13
I hope you understand. Please give brainliest, thank, and rate 5 stars. thanks.
A butcher can prepare a cowin 2 hours. To do the same piece of job 4 butchers will take
Answer:
30 min
Step-by-step explanation:
1 butcher can prepare 1 cows in 2 hours
2 can prepare twice as fast 2/2=1 hour
4 can prepare 4 times as fast 2 hours/4=30 min
Check work
30 min*4=120 min=2 hours
a survey found that the american family generates an average of 17.2 pounds of glass garbage each year. assume the standard deviation of the distribution is 2.5 pounds. find the probability that the mean of a sample of 55 families will be between 17 and 18 pounds. why can the central limit theorem be applied?
Therefore, the probability that the mean of a sample of 55 families will be between 17 and 18 pounds is approximately 0.9251.
To apply the central limit theorem, we need to check if the sample size is sufficiently large. According to the theorem, if the sample size is greater than or equal to 30, the distribution of sample means will be approximately normal, regardless of the shape of the population distribution.
In this case, the sample size is 55, which is greater than 30, so we can assume that the distribution of sample means will be approximately normal.
Now, we can find the z-scores for the given values of the sample mean:
z1 = (17 - 17.2) / (2.5 / sqrt(55)) = -1.87
z2 = (18 - 17.2) / (2.5 / sqrt(55)) = 1.87
Using a standard normal distribution table or calculator, we can find that the probability of a z-score being between -1.87 and 1.87 is approximately 0.9251.
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Question 2
The total amount of money, f(x), in a savings account after x years can be represented by. f(x) = 3000(1.065)'. What is the range of the function?
Answer: 0 < x <= 3000
Step-by-step explanation:
0 < x <= 3000
(the cost can't be negative so it has to be greater than 0, it cannot be equal to 0 since 0 is an asymptote of the graph)
(the cost is less than 3000 because the graph decreases from the (0, 3000) so the graph cannot be above that point)
the ratio of peter's age to richard's age is $5:8.$ the ratio of john's age to peter's age is $7:12.$ none of the three are over $100$ years old. what is the sum of their ages?
The sum of Peter, Richard, and John's ages is 191.
We know that the ratio of Peter's age to Richard's age is = 5/8 --(i)
The ratio of John's age to Peter's age is = 7/12 --(ii)
Similarly, the ratio of John's age to Richard's age is = (5*7)/(8*12)= 35/96 -(iii)
Using the value of (i),(ii),(iii), we get -
Age of Peter = (5*12)/(8*12) = 60/96
= 60 years of age
Age of John = (7*5)/(12*5) = 35/60
=35 years of age
From the value of (iii), since no one is over 100 years of age, the age of Richard= 96 years of age
Hence the sum of their ages is = 96+35+60
= 191
Therefore, we know that the sum of their ages is 191.
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hey babies , help me pleaseee
Answer:
F can be at 19 or -5
Step-by-step explanation:
If F is on positive number line, F-E=12
F=12+7=19
If F is on negative number line, E-F=12
-F=12-7=5, F=-5
for the integral from 4 to 4 point 5 of 3 divided by square root of quantity negative 15 plus 8 x minus x squared end quantity times dx part a: determine if long division will be used for this integration and justify your answer. (5 points) part b: simplify the integrand and use a u substitution to rewrite the integral with new limits of integration. (15 points) part c: evaluate the integral. round to the nearest thousandth. (10 points)
We simplified the integrand and used a u-substitution to rewrite the integral with new limits of integration. We then used a trigonometric substitution and a trigonometric identity to evaluate the integral= 2.148.
a) Long division will not be used for this integration since the degree of the numerator, which is a constant (3), is less than the degree of the denominator, which is a quadratic expression. Long division is used when the degree of the numerator is equal to or greater than the degree of the denominator.
b) To simplify the integrand, we can first complete the square of the quadratic expression in the denominator. The quadratic expression can be rewritten as -(x-4)^2+31, which allows us to rewrite the integrand as 3/(sqrt(31-(x-4)^2)). We can then make the substitution u = x-4, which results in a new integral of 3/(sqrt(31-u^2)) du with limits of integration from 0 to 0.5.
c) To evaluate the integral, we can use a trigonometric substitution, letting u = sqrt(31) sin(t), which results in a new integral of 3/(sqrt(31)cos(t))dt with limits of integration from 0 to arcsin(0.5/sqrt(31)). We can then use the identity sec(t) = sqrt(1+tan^2(t)) to simplify the integrand and evaluate the integral. The final answer is approximately 2.148.
In summary, we determined that long division is not necessary for this integration. We simplified the integrand and used a u-substitution to rewrite the integral with new limits of integration. We then used a trigonometric substitution and a trigonometric identity to evaluate the integral, giving a final answer of approximately 2.148.
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Find a basis for the space of 2x2 lower triangular matrices:
A basis for the space of 2x2 lower triangular matrices is \(\left(\left[\begin{array}{ccc}1&0\\0&0\end{array}\right],\left[\begin{array}{ccc}0&0\\1&0\end{array}\right],\left[\begin{array}{ccc}0&0\\0&1\end{array}\right]\right)\).
Lower triangular matrices resemble the following:
\(\left[\begin{array}{ccc}a&0\\b&c\end{array}\right]\)
We can write it like this:
\(a\left[\begin{array}{ccc}1&0\\0&0\end{array}\right]+b\left[\begin{array}{ccc}0&0\\1&0\end{array}\right]+c\left[\begin{array}{ccc}0&0\\0&1\end{array}\right]\)
This demonstrates the set's
\(\left(\left[\begin{array}{ccc}1&0\\0&0\end{array}\right],\left[\begin{array}{ccc}0&0\\1&0\end{array}\right],\left[\begin{array}{ccc}0&0\\0&1\end{array}\right]\right)\)
covers the set of lower triangular matrices with dimensions 2x2. Moreover, these are linearly independent, so attempting to
\(a\left[\begin{array}{ccc}1&0\\0&0\end{array}\right]+b\left[\begin{array}{ccc}0&0\\1&0\end{array}\right]+c\left[\begin{array}{ccc}0&0\\0&1\end{array}\right]=\left[\begin{array}{ccc}0&0\\0&0\end{array}\right]\)
leads to
\(\left[\begin{array}{ccc}a&0\\b&c\end{array}\right] =\left[\begin{array}{ccc}0&0\\0&0\end{array}\right]\)
which results in a = b = c = 0 right away. As there is no other way to
\(a\left[\begin{array}{ccc}1&0\\0&0\end{array}\right]+b\left[\begin{array}{ccc}0&0\\1&0\end{array}\right]+c\left[\begin{array}{ccc}0&0\\0&1\end{array}\right]=\left[\begin{array}{ccc}0&0\\0&0\end{array}\right]\)
, these matrices are linearly independent if a = b = c = 0.
Since
\(\left(\left[\begin{array}{ccc}1&0\\0&0\end{array}\right],\left[\begin{array}{ccc}0&0\\1&0\end{array}\right],\left[\begin{array}{ccc}0&0\\0&1\end{array}\right]\right)\)
they serve as a foundation by spanning the collection of 2x2 lower triangular matrices and being linearly independent.
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what is the answer to 97% of 345m
Answer:
334.65
Step-by-step explanation:
97% of 345 = 334.65
at a certain university in the u.s., all phone numbers are 7-digits long and start with either 824 or 825. 1) how many different phone numbers are possible?
There are 20,000 different phone numbers possible that is 7-digits long and start with either 824 or 825.
Fundamental Principle of Counting, also called the counting rule, is the method to count how many ways multiple independent events can occur.
Based on the given information, all phone numbers are 7-digits long and starts with either 824 or 825. Hence, the four last digits will be the combination of numbers from 0 to 9.
Thus, by Fundamental Principle of Counting, the number of possible outcomes is 20,000.
= (number of phone numbers starting with 824) + (number of phone numbers starting with 825)
= (10 x 10 x 10 x 10) + (10 x 10 x 10 x 10)
= 20,000
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Solve the system.
4x - 2y + 3z = -3
2x - 3y + 2z = 1
6x + 10Z = -2
Enter your answer as an ordered triple.
Find the x-axis intercept, y-axis intercept and slope y= -5x+15
Answer:
y-intercept=15 b/c it is the b value in y=mx+b or you can plug in 0 for x, and get 15 also
x-intercept=3 b/c when y is 0, x is 3
slope= -5 b/c it is the value of m in y=mx+b
Juan wants to change the shape of his vegetable garden from a square to a rectangle, but keep the same area so he can grow the same amount of vegetables. The rectangular garden will have a length that is 2 times the length of the square garden, and the width of the new garden will be 16 feet shorter than the old garden.
Answer:
The answer is 32
Step-by-step explanation:
what is the standard deduction for 2016 for over 65
Answer:
just an explanation so all in steps
Step-by-step explanation:
The standard deduction amount for taxpayers over 65 years old in 2016 varied depending on their filing status. Here are the standard deduction amounts for 2016:
For Single filers (and Married Filing Separately):
Under 65 years old: $6,300
Over 65 years old: $7,850
For Married Filing Jointly:
Both spouses under 65 years old: $12,600
One spouse over 65 years old: $13,850
Both spouses over 65 years old: $15,100
For Head of Household:
Under 65 years old: $9,300
Over 65 years old: $10,850
These figures are for the standard deduction only and do not include any additional deductions or credits that may apply. It's important to note that tax laws may change, so it's always recommended to consult the official IRS resources or a tax professional for the most up-to-date and accurate information.
Integrate the ODE
dy/dx = x² √y, 0 < x < 2, y(0) = 1
using Euler's method (Δx = 0, 2) to compute y(2). Obtain analytical solution to the ODE and compare y(2) obtained using Euler's method with that obtained analytically.
we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.
Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:
Step 1: For x = 0, y = 1 (initial condition).
Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.
Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.
Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.
Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.
Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.
Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.
Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.
Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.
Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.
Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.
Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.
To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:
∫(1/√y) dy = ∫x² dx
Integrating both sides gives:
2√y = (1/3)x³ + C
Solving for y:
y = (1/4)(x³ + C)²
Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:
1 = (1/4)(0³ + C)²
1 = (1/4)C²
4 = C²
C = ±2
Since C can be either 2 or -2, the general solution to the ODE is:
y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²
Now, let's evaluate y(2) using the analytical solution:
y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5
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A popular magazine tests cars and trucks for mileage on the road and around the city. The magazine reports that the most common gas mileage was 24 mpg. Which statistic does this 24 represent
It shows that the values of the mileages are close to 24 mpg. Hence statistics refes 24 as the mean.
Mean of a data.Mean is one of the measure of dispersion and is the avearage of a set of data.
According to the question, the magazine reports that the most common gas mileage was 24 mpg. This shows that reports have published several gas mileages for cars and truck and the average of this mileage is 24mpg
It shows that the values of the mileages are close to 24 mpg. Hence statistics refes 24 as the mean.
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A company that manufactures golf balls produces a new type of ball that is supposed to travel significantly farther than the company’s previous golf ball. To determine this, 40 new-style golf balls and 40 original-style golf balls are randomly selected from the company’s production line on a specific day. The balls are then placed in a bag and shaken. A golf pro then selects a ball and hits it. The distance the ball travels is then measured. The bag is shaken again, and the golf pro selects another ball to hit. She continues this procedure until all 80 of the golf balls are hit.
Has the principle of comparison been addressed in this experimental design?
Yes, because the balls are randomly selected, the distances of the new ball can be compared to the distances of the original ball.
Yes, because the original ball type is included in this experiment, the distances the different balls travel can be accurately compared.
No, because a placebo ball was
The design of the experiment is such that the knowledge of the type of
ball being hit does nit influence the outcome of the experiment.
The correct option is; Yes, because the balls are randomly selected, the distance of the new ball can be compared to the distances of the original ball.Reasons:
The aim of the experiment is to determine if the new type of ball travels farther than the company's previous golf ball.
The design of the experiment is as follows;
Number of the previous golf ball in the experiment = 40
Number of the new type of golf ball used in the experiment = 40
The order in which the ball are selected from the bag = Randomly
The subject of the experiment = A golf pro
The sample size of each sample is larger than 30, and therefore, the
distribution can be taken as approximately normal.
The principle of comparison has been addressed in the experiment
because the golf pro that is subject to the treatment will react more
accurately to the change in the variable, given that, the previous golf ball
serves as a placebo in the study and after all the balls are hit, the distance
travelled by each set can be determined.
The correct option is therefore;
Yes, because the balls are randomly selected, the distance of the new ball can be compared to the distances of the original ball.Learn more experimental design here:
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Solve the system of equations by using substitution.
Answer:
(x, y) = (-1, 1)
Step-by-step explanation:
\(y = 2x +3 ----(1) \\\\y = x + 2 ----(2)\\\\substitute \ (2) \ in \ (1) : x + 2 = 2x + 3\)
\(x - 2x = 3 - 2\\\\-x = 1\\\\x = -1\\\\Substitute \ x = -1 \ in \ (2) : y = -1 + 2 => y = 1\)
Assume you have a car worth $3,700 and investments worth another $5,400. If you owe
$1,250 on credit cards and that is your only debt, how much is your net worth? helppppp
Answer:
7850
Step-by-step explanation:
Net worth: Assets-debt
The assets are:
car
investments
The debts:
credit cards
so we have
(3700+5400)-1250= 7850