one hundred sixty people who suffer from painful diabetic neuropathy have volunteered to participate in a study. eighty are selected at random and are given the drug gabapentin, while the remaining participants are given a placebo. a neurologist evaluates the symptoms of all volunteers after two months to determine if there has been substantial improvement in the severity of the symptoms. does the use of volunteers make this study invalid?

The null hypothesis would not be rejected and the researcher would fail to find statistical significance at the chosen alpha level of .05.

If a researcher sets the alpha level at .05 and obtains a p-value of .06, it means that the p-value is greater than the chosen significance level. The alpha level, also known as the significance level, represents the threshold for determining whether the results are statistically significant or not.

In hypothesis testing, the null hypothesis assumes that there is no significant difference or relationship between variables.

If the p-value is less than or equal to the alpha level, it suggests that there is enough evidence to reject the null hypothesis and conclude that there is a significant difference or relationship.

However, if the p-value is greater than the alpha level, as in this case with a p-value of .06, it means that the observed data does not provide sufficient evidence to reject the null hypothesis.

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Answer:

The decimal is 4.980

Step-by-step explanation:

BRAINLIEST PLS

1a)The values of l range from 0 to (n-1), so for n = 3, l can have the values 0, 1, and 2.

b) The values of m can be -2, -1, 0, +1, and +2

c) There are a total of 9 orbitals

The qualities and traits of quantum systems, like the electrons in atoms, are described by a set of numbers known as quantum numbers. They offer knowledge on the system's energy, angular momentum, orientation, and spin, among other characteristics.

Using the formula, number of electrons = \(n^2\)

Number of electrons =\(3^2 = 9\)

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Considering the expression of a line, the slope of the line that passes through the points (2,4) and (9,12) is 8/7.

A linear equation o line can be expressed in the form y = mx + b

where

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope of the line is calculated as:

m= (y₂ - y₁)÷ (x₂ - x₁)

In this case, being (x₁, y₁)= (2,4) and (x₂, y₂)= (9,12), the slope m can be calculated as:

m= (12 -4)÷ (9 -2)

Solving:

m= 8÷ 7= 8/7

Finally, the slope of the line is 8/7.

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Answer:

It’s D

Step-by-step explanation:

Answer:

A.) The coefficient of determination is 0.994,which means that the function is a very good fit of the data set.

Step-by-step explanation:

I got it right on odyssey .

Using the properties of unit rate we can calculate that Casey can alter 18 costumes in 1 hour.

In mathematics, a rate is the ratio of two related variables expressed in distinct units. If one of these variables is expressed as a single unit in the ratio's denominator, and it is assumed that this quantity can be modified on a regular basis (i.e., is a variable and the independent), the ratio's numerator expresses the comparable rate of change in another (dependent) variable.

A rate is generally thought of as an output-input ratio or a benefit-cost ratio. Miles per hour, for example, is the output (or profit) in terms of miles travelled from travelling somewhere for a few hours (a cost in time) (at this velocity).

Rate at which Casey can alter the clothes = 4 per hour. this is the unit rate.

Now the time allotted to Casey is 4.5 hours. So we multiply the time with the unit rate.

Number of costumes altered = 4 × 4.5 = 18 costumes .

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Answer:

y= 2x + 4

Step-by-step explanation:

Answer:

$700 for 35 people but if you want to add the fee it will be $850

The total electric force on the 7.00−μC charge is 0.872 N at an angle of 330°.

The force exerted on the 7.00−μC charge by the 2.00−μC charge is

F₁​ ​= \(k_{e}\)q₁q₂​​/r₂ r^

= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(2.00×10^−6C) ×(cos60°i^+sin60°j^​)]/ (0.500m)²

F₁ ​= (0.252i^+0.436j^​)N

Similarly, the force on the 7.00μC charge by the −4.00−μC charge is

F₂​ ​= \(k_{e}\)q₁​q₃/​r² ​​r^

= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(−4.00×10^−6C)​×(cos60°i^−sin60°j^​)]/(0.500m)²

F₂​ ​=(0.503i^−0.872j^​)N

Hence, the total force on the charge 7.00−μC  is

F = F₁​​+F₂​

​=(0.755i^−0.436j^​)N

We can also note the total force as:

F = (0.755N)i^−(0.436N)j^​ = 0.872N

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--This question is incomplete; the complete question is

"Three charged particles are located at the corners of an equilateral triangle, as shown in Figure. Calculate the total electric force on the 7.00−μC charge."--

The coefficient for the interval -T ≤ x ≤ 0 in the function g(x) is 1. However, the coefficient for the interval 0 ≤ x ≤ 2π depends on the specific form of the function f(x). Without additional information about f(x), we cannot determine its coefficient for that interval.

To solve for the coefficients in the function g(x), we need to consider the conditions given:

g(x) = { 1, -1, -T ≤ x ≤ 0

{ 1, f(x + 2π) = g(x)

We have two pieces to the function g(x), one for the interval -T ≤ x ≤ 0 and another for the interval 0 ≤ x ≤ 2π.

For the interval -T ≤ x ≤ 0, we are given that g(x) = 1, so the coefficient for this interval is 1.

For the interval 0 ≤ x ≤ 2π, we are given that f(x + 2π) = g(x). This means that the function g(x) is equal to the function f(x) shifted by 2π. Since f(x) is not specified, we cannot determine the coefficient for this interval without additional information about f(x).

The coefficient for the interval -T ≤ x ≤ 0 is 1, but the coefficient for the interval 0 ≤ x ≤ 2π depends on the specific form of the function f(x).

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Answer:

-630adkn

Step-by-step explanation:

Use the commutative properly to reoder the term

(7k) and×(-81-9)

that's all and hope it can help you thanks

brainless me please

Answer:

100 is inital value of that decrease

Given margin of error increases as the margin of error increases.

To obtain a 3 percent margin of error at a 90% level of confidence, a sample size of about 750 is required. The sample size would be about 1,000 for a 95% level of confidence. Calculating the margin of error for various confidence levels is straightforward.

The ideal sample size for a population of 5,000 people has a 95% degree of confidence and a 5% margin of error, and it is 357. You may calculate this using our online calculator. This number can be used as a sample as well. It displays how many.

∴ For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error increases as the margin of error increases.

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Answer:

Alex has 3x dollars and an extra 15 dollars in his coat pocket. He buys a new Nike shoe for 84 dollars. How much money did Alex spend that was not in his pocket.

Step-by-step explanation:

Answer:

Part A: Word problem

Maria went to the store and purchased some books for her book club. Each book cost $3, and she also bought some bookmarks at $15 each. Maria's total purchase, including tax, amounted to $84. If Maria bought x books, write an equation to represent the situation.

Part B: Solution

To solve the equation 3x + 15 = 84, we need to isolate the variable x on one side of the equation.

Step 1: Subtract 15 from both sides of the equation to eliminate the constant term on the left side:

3x + 15 - 15 = 84 - 15

3x = 69

Step 2: Divide both sides of the equation by 3 to isolate x:

3x/3 = 69/3

x = 23

So, the solution to the equation is x = 23.

Part C: Explanation

In the given equation 3x + 15 = 84, the variable x represents the number of books Maria purchased. The equation states that the cost of x books at $3 each, represented by 3x, plus the cost of $15 for bookmarks, totals to $84. Thus, the value of x represents the number of books Maria bought in this scenario. In the solution, x = 23, it means Maria purchased 23 books for her book club.

Step-by-step explanation:

The ratio 3/8 to 1/2 has a unit rate of 3/16 is false.

Given in the  question:

The ratio of  3/8 to 1/2 has a unit rate of 3/16.

To check the it is true or false .

Let's Know:

What is Ratios?

The ratio is the number that can be used to express one quantity as a fraction of the other ones. The two numbers in a ratio can only be compared when they have the same unit. We make use of ratios to compare two things.

Now, According to the question:

3/8 : 1/2 =  3/4

Hence, The ratio 3/8 to 1/2 has a unit rate of 3/16 is false.

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Answer:

T=1  i think

Step-by-step explanation:

pretty sure that the answer is 2 cuz

We can say in this triangle by Pythagorean theorem A2 = B2 + C2 => AC = sqrt115 after answering the provided question.

Because it has three sides and three vertices, a triangle is a polygon. It is a fundamental geometric shape. Triangle ABC is the name given to a triangle with the vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are discovered. A triangle is a polygon because it has three sides and three corners. The triangle's corners are defined as the points at which the three sides meet. The sum of three triangle angles yields 180 degrees.

Pythagorean theorem applies here, in this triangle

\(A^2 = B^2 + C^2\)

\(AC = \sqrt{14^2 - 9^2}\)

\(AC = \sqrt{196 - 81}\)

\(AC = \sqrt{115}\)

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Answer:

(-∞, ∞)

Step-by-step explanation:

Solving :

Answer:

C. 90°

Step-by-step explanation:

ΔEFG ≅ ΔJKL

E ---> J       F ---> K      G ----> L

∠ J ----> ∠ E

∠ J = 90°

∠ E = 90°

Answer:

A

Step-by-step explanation:

12x -2y = 4  Subtract 12x from both sides

12x - 12x - 2y = 4

-2y = -12x - 4  Divide all the way through by -2

\(\frac{-2y}{-2}\) = \(\frac{-12x}{-2}\) + \(\frac{4}{-2}\)

y = 6x - 2

Helping in the name of Jesus.

Answer:

(A) y = 6x - 2

Step-by-step explanation:

a) The monthly payment for this fully amortising mortgage is approximately $10,331.25.
b) The monthly payment for this interest-only mortgage is approximately $14,360.33.

c) The new monthly payment after the interest rate increase is approximately $9,090.70.

d) The remaining loan balance is approximately $625,014.72.

A) To calculate the monthly payment of a fully amortising mortgage, we can use the formula:

M = P * (r * (1+r)^n) / ((1+r)^n - 1)

Where:
M = Monthly payment
P = Loan amount
r = Monthly interest rate
n = Total number of payments

For the given question, the loan amount is 81% of $1,175,378, which is $952,622.38. The annual interest rate is 11.6%, so the monthly interest rate would be 11.6% / 12 = 0.9667%. The mortgage term is 21 years, which means a total of 21 * 12 = 252 payments.

Plugging these values into the formula, we can calculate the monthly payment:

M = 952,622.38 * (0.009667 * (1+0.009667)^252) / ((1+0.009667)^252 - 1)

The monthly payment for this fully amortising mortgage is approximately $10,331.25.

B) To calculate the monthly payment of an interest-only mortgage, we can use the formula:

M = P * r

Where:
M = Monthly payment
P = Loan amount
r = Monthly interest rate

For the given question, the loan amount is 80% of $1,495,863, which is $1,196,690.40. The annual interest rate is 14.4%, so the monthly interest rate would be 14.4% / 12 = 1.2%.

Plugging these values into the formula, we can calculate the monthly payment:

M = 1,196,690.40 * 0.012

The monthly payment for this interest-only mortgage is approximately $14,360.33.

C) To calculate the new monthly payment after an interest rate increase, we can use the same formula as in part A:

M = P * (r * (1+r)^n) / ((1+r)^n - 1)

For the given question, the remaining loan balance is $700,134. The current interest rate is 14.5% per annum, and the loan term is 12 years.

To calculate the new interest rate, we need to add 1% to the current interest rate, which gives us 15.5% per annum, or 15.5% / 12 = 1.2917% as the monthly interest rate.

Plugging these values into the formula, we can calculate the new monthly payment:

M = 700,134 * (0.012917 * (1+0.012917)^144) / ((1+0.012917)^144 - 1)

The new monthly payment after the interest rate increase is approximately $9,090.70.

D) To calculate the remaining loan balance, we can use the formula:

B = P * ((1+r)^n - (1+r)^p) / ((1+r)^n - 1)

Where:
B = Remaining loan balance
P = Loan amount
r = Monthly interest rate
n = Total number of payments
p = Number of payments made

For the given question, the monthly payment is $8,364. The annual interest rate is 12.4%, so the monthly interest rate would be 12.4% / 12 = 1.0333%. The remaining loan term is 10 years, which means a total of 10 * 12 = 120 payments have been made.

Plugging these values into the formula, we can calculate the remaining loan balance:

B = P * ((1+0.010333)^120 - (1+0.010333)^360) / ((1+0.010333)^360 - 1)

The remaining loan balance is approximately $625,014.72.

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Answer:

25.12 meters.

Explanation:

Given a circle with diameter, d, the circumference of the circle is calculated using the formula:

We are given that:

• Diameter, d = 8 meters

• π = 3.14

Substitute these into the formula:

The circumference of a circle is 25.12 meters.

Note: If you are given the radius, r of the circle, you find the circumference using the formula C=2πr.

the probability that the animal selected is not a chicken is 4/5 or 0.8, which is the answer.

There are a total of 6 + 4 + 10 = 20 animals on Giovanna's farm.

The probability of selecting a chicken randomly is 4/20 = 1/5, since there are 4 chickens out of 20 animals.

Therefore, the probability of not selecting a chicken is the complement of this probability, which is:

1 - 1/5 = 4/5

what is probability?

Probability is a measure of the likelihood that an event will occur. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

For example, if you flip a fair coin, there are two possible outcomes: heads or tails. The probability of getting heads is 1/2, because there is one favorable outcome (heads) out of two possible outcomes (heads or tails).

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Answer:

Step-by-step explanation:

y = (1/2)e²x + (1/2)xe²x + 150e⁹.

The given differential equation is y′′-4y′+4y=343e⁹ with the initial conditions y(0)=1 and y′(0)=9.

The characteristic equation of y′′-4y′+4y=0 is r²-4r+4=0 or (r-2)²=0.

Hence the complementary solution is yc = c₁e²x+c₂xe²xWhere c₁ and c₂ are constants.

Now we have to find the particular solution.

It can be assumed to be of the form yp = Ae⁹. Differentiating yp,

we get y'ₚ = 9Ae⁹ and y''ₚ = 81Ae⁹

Substituting these in the differential equation, we get: 81Ae⁹ - 36Ae⁹ + 4Ae⁹ = 343e⁹.

Solving for A, we get: A = 150.  Therefore, the particular solution is yp = 150e⁹.

The general solution is: y = yc + yp= c₁e²x+c₂xe²x+150e⁹.

Using the initial conditions y(0)=1 and y′(0)=9,

we get: y = (1/2)e²x + (1/2)xe²x + 150e⁹.

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Answer:

its A because when you pay a registration fee, you only pay it once (thats why $123.95 is just added)  the $45 however is something you pay each week (thats why it has to be multiplied by w, the number of weeks)

Answer:

245 is the best answer. I am right ta boy

Answer: 245

Step-by-step explanation:

60 + 120 + 65 = 245