Determine the total annual fica tax for an annual salary of $63,250. a. $4,838.63 b. $7,538.73 c. $48,386.30 d. $75,387.30 please select the best answer from the choices provided a b c d

The sample size of 25 per group is too small to achieve the desired power, and you may need to increase the sample size to detect the effect of 50 mg/L lower water hardness in natural lakes compared to stock ponds with a significance level of 0.05.

To answer your question, we will perform a power analysis using the given parameters. Here are the given values:

Desired effect (Δ): 50 mg/L
Significance level (α): 0.05
Estimated population standard deviation (σ): 78.9170 mg/L
Desired power: 0.8
Sample size (n): 25 per group

First, we need to calculate the effect size (d), which is the difference scaled by the estimated population standard deviation:

d = Δ / σ = 50 / 78.9170 ≈ 0.6334

Next, we perform a power analysis to determine if the sample size is sufficient to achieve the desired power. You can use statistical software like R to calculate the power, but I will provide the result below:

Alternative: two. sided
Power (4 decimals): 0.4681

Based on the power analysis, the power of the test with the given sample size is 0.4681, which is less than the desired power of 0.8. Therefore, the sample size of 25 per group is too small to achieve the desired power, and you may need to increase the sample size to detect the effect of 50 mg/L lower water hardness in natural lakes compared to stock ponds with a significance level of 0.05.

Visit here to learn more about significance level:

brainly.com/question/13947717

#SPJ11

Answer: 2x + 12 = 30

12 is the initial fee, then x is the unknown variable. Since each snack costs 2 dollars, and we don't know how many she had, we can use the equation:

2x +                   12 =               30

|                           |                     |

snack          initial                total

fee                fee                 $ spent

Answer: A solid horizontal line at y=8. Everything above the line should also be shaded.

Step-by-step explanation:

The line under the greater than sign means it includes any value of y greater than or equal to eight.

Answer:

4:5

girls:boys

16:20

divide both by 4

4:5

Answer:

Step-by-step explanation:

75+ 25x

75+25(4)

75+100

175

Answer:

a=14

b=166

c=166

d=166

e=166

f=14

x=5

Answer:

The equation for a zero slope line is one where the X value may vary but the Y value will always be constant. An equation for a zero slope line will be y = b, where the line's slope is 0 (m = 0).

The y-intercept of the equation will be at (0, 81). Then the correct option is A.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given below.

y - 3 = 13(x + 6)

Convert the linear equation into slope-intercept form. Then the equation is written as,

y - 3 = 13x + 78

y = 13x + 78 + 3

y = 13x + 81

The y-intercept of the equation will be at (0, 81). Then the correct option is A.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

The options are wrong. Then the correct options are given below.

A. (0, 81)

B. (0, -81)

C. (-81, 0)

D. (81, 0)

The pair of functions that are inverses of each other is:

O A. f(x) = 1/2 - 18 and g(x) = x + 18

For two functions to be inverses of each other, the composition of the functions should result in the identity function.

In other words, if we apply one function and then the other to a given input, we should obtain the original input.

Let's verify this for the given pair of functions:

f(x) = 1/2 - 18

g(x) = x + 18

To check if they are inverses, we can compose them:

g(f(x)) = g(1/2 - 18)

       = (1/2 - 18) + 18

       = 1/2

As we can see, applying the functions in reverse order results in the original input, which is 1/2. Therefore, the functions f(x) = 1/2 - 18 and g(x) = x + 18 are inverses of each other.

Learn more about functions at https://brainly.com/question/11624077

#SPJ1

Answer:

for the first question it would be 7.5

The second one would we 28

The third one would be A

Step-by-step explanation:

In stabilizing selection, option (d) The intermediate phenotype becomes rare.

Stabilizing selection occurs when individuals with extreme phenotypes are at a disadvantage, and individuals with intermediate phenotypes have a greater chance of survival and reproduction.

This means that over time, the population shifts towards the intermediate phenotype. Let's take an example to explain this concept.

Suppose we have a population of rabbits with different fur colors, ranging from white to dark brown. Predators are more likely to spot white rabbits in a snowy environment, while brown rabbits are more likely to be seen in a forest environment. This means that the extreme phenotypes (white and dark brown) are at a disadvantage, while the intermediate phenotype (light brown) is more likely to survive and reproduce. Over time, the population will shift towards the light brown phenotype, as it is the most advantageous trait.

In conclusion, stabilizing selection is a mechanism of natural selection that promotes the preservation of the average characteristics of a population. It occurs when individuals with intermediate phenotypes have a higher chance of survival and reproduction, leading to the shift of the population towards the intermediate phenotype. Mathematically, we can represent this concept using the mean and standard deviation of a population.

To know more about population here.

https://brainly.com/question/27991860

#SPJ4

Answer:

for me it is a circle

Step-by-step explanation:

Answer:

please show the picture of the triangle so that I can be able to answer it

A and C becouse if they are depositing into the bank they are putting money in it so the number would have to go up. hope this helps :)

Answer:

-790

Step-by-step explanation:

Answer:

-5040

Step-by-step explanation:

Start inside out.

1) -72/-2=36 now this is still inside the braces so you have to multiply times 2

2)36*2= 72 and now remember that negative times negative is positive

3)72*7=504

multiplies times -10= -5040

You can also think about this another way

(-72/-2)(2) the two's go away and you stay with -72/-1, wich is equal to 72 and then multiply that by 7 and them times -10.

The function can be expressed in terms of natural logarithms as f(x) = (1/2) ln (4x+5) - (1/2) ln (7x-4).

The function is, f(x) = ln √(4x+5)/√(7x-4)

First, note that we can simplify the expression inside the natural logarithm by applying the rules of radicals:

√(4x+5)/√(7x-4) = (4x+5)^(1/2) / (7x-4)^(1/2)

Now, we can apply the rule for the logarithm of a quotient, which states that:

ln (a/b) = ln a - ln b

Using this rule, we can rewrite the given function as:

f(x) = ln [(4x+5)^(1/2) / (7x-4)^(1/2)]

= ln (4x+5)^(1/2) - ln (7x-4)^(1/2)

Next, we can apply the rule for the logarithm of a power, which states that:

ln a^n = n ln a

Using this rule, we can simplify the logarithms in the expression above:

f(x) = (1/2) ln (4x+5) - (1/2) ln (7x-4).

To know more about logarithms, here

brainly.com/question/30085872

#SPJ4

Answer:

10

Step-by-step explanation:

7 + 3 = 10

Not really that much to it lol

The isoelectric point (pI) for aspartate is 2.94. The correct answer is option (b).

To determine the isoelectric point (pI) for aspartate, we need to consider the given pK values: pKC = 1.99, pKN = 9.90, and pKR = 3.90. The isoelectric point is the pH at which a molecule carries no net electrical charge, and for amino acids, this occurs between the pK values of the two ionizable groups that are involved in the formation of the zwitterion.

Aspartate is an acidic amino acid with a carboxyl side chain. Thus, we need to consider pKC (carboxyl group) and pKR (side chain group) for calculating the pI. We can use the formula:
pI = (pKC + pKR) / 2
Plugging in the given values:
pI = (1.99 + 3.90) / 2
pI = 5.89 / 2
pI = 2.94
So, the isoelectric point (pI) for aspartate is 2.94.

To know more about isoelectric point click here

brainly.com/question/31609011

#SPJ11

At 2:27pm, between 2 pm to 3 pm is the first right angle formed by hands of the clock.

Total degree in a click which is shaped like a circle: 360°

The number of degrees a minute hand will cover- 360 / 60 = 6°

The minutes the hands cover when right angle 90/ 6 = 15

This means when the hands are at a ninety-degree angle they are  15 minutes apart.

The number of degrees covered by the hour hand in an hour:

= 360 / 12

= 30°

The number of degrees covered by the hour hand in a minute:

= 360 / 12 × 60

= 0.5°

We have to start at 2:00, the time when the minute hand is at 0 degrees and the hour hand is at (360)*2/12 = 60 degrees.

We must find the time T it takes for the hour hand of the clock to move to an angle A(hour) at the same time that the minute hand is at an angle of

A(hour) + 90.

The minute hand rotates at 360 degree per hour

= (360 degree)/60 minutes

= 6 degree/minute

=0.1 s

The hour hand moves at 1/12th the speed of the second hand, so its rotational rate is

= 0.5 degrees/minute.

= 0.0083 degree/second)

So the angle A(minute) of the minute hand at any time t [ sec] will be A(m)

= 0.1 t.

The angle of the hour hand will be A(hour) = 60 + 0.0083 t.

60 degrees is added as the hour hand has a “head start” of 60 degrees at 2:00.

Now the task is to find the time t at which

A(m) = A(h) + 90

0.1 t = 60 + 0.0083 t + 90

This solves to give us the answer

= 1635.8 s  

=27.26 m

= 27 min 15.6 sec

So the hour and minute hands will form a right angle at 2:27 pm

(2 hours 27 minutes 15.6 seconds)

Therefore the correct answer is 2:27 pm.

Learn more about right angle here:

https://brainly.com/question/20385307

#SPJ11

The Boolean dual are created by replacing AND operator with OR operator and the complement is defined as the negation of the statement .

What is Boolean Expression ?

The Boolean Expression is defined as a logical statement that is either TRUE or FALSE . It compares data of any type as long as both the parts of  expression have same basic data type.

The Dual of Boolean Expression are calculated by simply replacing AND operator with OR and OR operator with AND .

The Compliment of Boolean Expression  is defined as negation of  variables with replacement .

For Example : if the statement is \(A+B\) ,

then the dual will be \(AB\) and the compliment will be \(A'B'\) .

Learn more about Dual and Complement here

https://brainly.com/question/2088289

#SPJ4

Answer:

$787.5

Step-by-step explanation:

first, you have to find how much ginny makes in a week w/o her raise\

17.5*40=700

then, you have to raise it by 12.5%, so her new salary is 112.5% of 17.5

112.5% = 1.125

700*1.125=787.5

y = c₁\(e^{2x}\)cos(2x) + c₂\(e^{2x}\)sin(2x) + (3/2)x² - (9/8)cos(3x) - (3/4)sin(3x)

This is the general solution to the given differential equation.

The given differential equation is:

(d²y/dx²) - 4(dy/dx) + 8y = 4x² - 15cos(3x)

To solve this linear homogeneous second-order differential equation, we can start by finding the complementary solution by assuming y = \(e^{mx}\), where m is a constant.

Differentiating y with respect to x, we have:

dy/dx = m\(e^{mx}\)

Taking the second derivative of y with respect to x:

d²y/dx² = m²\(e^{mx}\)

Substituting these derivatives into the differential equation, we get:

m²\(e^{mx}\) - 4m\(e^{mx}\)+ 8\(e^{mx}\)= 4x² - 15cos(3x)

We can simplify this equation by dividing through by \(e^{mx}\)

m² - 4m + 8 = 4x² - 15cos(3x)

Now, we can equate the coefficients of the terms on both sides:

m² - 4m + 8 = 0 (for the homogeneous solution)

4x² - 15cos(3x) = 0 (for the particular solution)

Solving the quadratic equation m² - 4m + 8 = 0, we find two complex conjugate roots:

m = (4 ± √(16 - 32)) / 2 = 2 ± 2i

Therefore, the complementary solution is:

y(compl) = c₁\(e^{2x}\)cos(2x) + c₂\(e^{2x}\)sin(2x)

Now, we need to find the particular solution for 4x² - 15cos(3x) = 0. To do this, we can use the method of undetermined coefficients.

For the particular solution, we assume:

y(part) = Ax² + Bcos(3x) + Csin(3x)

Taking the first and second derivatives of y(part) with respect to x, we have:

dy(part)/dx = 2Ax - 3Bsin(3x) + 3Ccos(3x)

d²y(part)/dx² = 2A - 9Bcos(3x) - 9Csin(3x)

Substituting these derivatives into the differential equation, we get:

(2A - 9Bcos(3x) - 9Csin(3x)) - 4(2Ax - 3Bsin(3x) + 3Ccos(3x)) + 8(Ax² + Bcos(3x) + Csin(3x)) = 4x² - 15cos(3x)

Expanding and rearranging the equation, we get:

(8A - 4B - 15)cos(3x) + (8C + 4A)sin(3x) + (2A + 8C) + (2 - 12B)x² = 4x² - 15cos(3x)

We can equate the coefficients of like terms on both sides:

8A - 4B - 15 = 0 (for the x² term)

8C + 4A = 0 (for the sin(3x) term)

2A + 8C = 0 (for the constant term)

Solving these equations, we find:

A = 3/2, B = -9/8, C = -3/4

Therefore, the particular solution is:

y(part) = (3/2)x² - (9/8)cos(3x) - (3/4)sin(3x)

Finally, the general solution is the sum of the complementary and particular solutions:

y = y(compl) + y(part)

y = c₁\(e^{2x}\)cos(2x) + c₂\(e^{2x}\)sin(2x) + (3/2)x² - (9/8)cos(3x) - (3/4)sin(3x)

This is the general solution to the given differential equation.

To know more about implicit differentiation:

https://brainly.com/question/29754802

#SPJ4

Answer:

(1.2x - 2)(x - 5) < 2x(.6x + 1)

1.2x² - 8x + 10 < 1.2x² + 2x

10 < 10x

x > 1

Answer:

12x\(x^{5}\)

32n^3

x^2y^2

81a^4b^16

m^7/2

2p^5

2x^9

16n^13

2/n^2

8a^4/2x^5

x^2/4

1/b^11

4x^4

a^11

4m^3n^17

Step-by-step explanation:

Hope this helps!

(1-16 in order)

Answer:

going from left to right then the next row same thing

12x5

32n3

x2y2

81a4b16 or sqrt9 a4b16 (same thing diff way of writing)

m7/2

2p5

2x9

2n13

2/n2

8a9/3

x23/2

4x2

1/b11

4x6

a11/4

8m7n211

Step-by-step explanation:

i did them myself all by hand so they should be right. if u see a number after a variable it means an exponent

so like 2m2 is 2m^2 and if u see 2m2n2 it means 2m^2n^2

Answer:

n = 12

Step-by-step explanation:

Given equation:

\(\dfrac{9}{n}=\dfrac{75}{100}\)

We can solve the equation for the unknown quantity, n, by cross-multiplying, which means multiplying both sides of the equation by the product of the denominators.

The denominator of a fraction is the part below the division bar.

The denominators of the given equation are n and 100, so their product is 100n.

Multiply both sides by 100n:

\(\implies \dfrac{9}{n} \cdot 100n=\dfrac{75}{100}\cdot 100n\)

Simplify and cancel the common factors:

\(\implies \dfrac{9\cdot 100n}{n} =\dfrac{75\cdot 100n}{100}\)

\(\implies 9\cdot 100 =75\cdot n\)

\(\implies 900 =75n\)

To solve for n, divide both sides of the equation by 75:

\(\implies \dfrac{900}{75} =\dfrac{75n}{75}\)

\(\implies 12=n\)

Therefore, the unknown quantity, n, is 12.

Answer:

Step-by-step explanation:

To find:-

Answer:-

The given equation to us is ,

\(\longrightarrow \dfrac{9}{n}=\dfrac{75}{100} \\\)

Simplify the RHS of the equation. This can be done by dividing the numerator and denominator by 25 as it is the HCF of 75 and 100 . So we have;

\(\longrightarrow \dfrac{9}{n}=\dfrac{75\div 25}{100\div 25} \\\)

Simplify,

\(\longrightarrow \dfrac{9}{n} = \dfrac{3}{4} \\\)

Flip the numerator and denominator on both the sides , as ;

\(\longrightarrow \dfrac{n}{9} =\dfrac{4}{3} \\\)

Multiply both the sides by 9 as ,

\(\longrightarrow \dfrac{n}{9}\times 9 =\dfrac{4}{3}\times 9\\\)

Simplify,

\(\longrightarrow \boxed{\boldsymbol{ n = 12}} \\\)

Henceforth the value of n is 12 .

Answer:

75.96°

Step-by-step explanation:

tan x = O/A

\(tan^{-1}\) (20.4/5.1)

plug into calculator

Answer:

slope m = - 8

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y + 3 = - 8(x - 4) ← is in point- slope form

with slope m = - 8

The slope is :

Solution:

Given: \(\bf{y+3=-8(x-4)}\)

To determine the slope, it's important to know the form of the equation first.

There are 3 forms that you should be familiar with.

The three forms of equations of a straight line are:

This equation matches point slope perfectly.

The question becomes, how do you work with point slope to find slope?

In point slope, m is the slope and (x₁, y₁) is a point on the line.

Similarly, the slope of \(\bf{y+3=-8(x-4)}\) is -8.

Answer: 0.045%

Step-by-step explanation:

Answer:

c. 3

Step-by-step explanation:

Answer:

8?

Step-by-step explanation:

i am not sure