1. the most important statement in any research proposal is the hypothesis and/ or the research question. please provide an example of a working hypothesis and a null hypothesis.

Answer:

no linear relationship exists between the two variables being compared

Step-by-step explanation:

Answer:

1.

Looking at the data distribution, we see that Sarah has mostly scored under  79 seconds (9 out of 10 results) and Katie has mostly scored over 78 seconds (9 out of 10 results).

This confirms Sarah is faster.

2.

Sun City population average rate of change:

This is indicating that between 1980 and 1995 the population reduced at a rate of 700 people a year.

Answer:

Step-by-step explanation:

sorry to bother you but if you see a guy called breedall and sends you a sketchy link dont click it because its a virus on your computer

There are 12 weeks will Sonja's balance remain above $377.

What is account balance?

The balance is the sum owed on an account in banking and accounting. The term "balance" in bookkeeping refers to the difference between the total of debit entries and the total of credit entries made into an account over the course of a given financial period. The account shows a debit balance when total debits exceed total credits.

Given:

Sonja has a bank account balance of $1400. Each week, her balance changes by -$85.25. She wants to keep the balance above $377.

We have to find the number of  weeks will Sonja's balance remain above $377.

Let, $1400 - $377 = $1023.

⇒  $1023 / $85.25 = 12

Hence, there are 12 weeks will Sonja's balance remain above $377.

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A. The number of red balls he had was 8  at the beginning.

Duke's starting red ball total can be found by setting up a system of equations. First, let x represent the number of red balls and y represent the number of blue balls.

After 5 days, the equation is x-15=y+10. This equation states that after 5 days, the number of red balls (x) minus 15 will equal the number of blue balls (y) plus 10. After 9 days, the equation is x-27=2y+20.

This equation states that after 9 days, the number of red balls (x) minus 27 will equal twice the number of blue balls (y) plus 20. To solve for x, both equations can be set equal to each other and solved. This results in x=8. Therefore, Duke had 8 red balls at the beginning.

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The random variable expressed as the conditional expectation of Y given X is E[Y|X]=1/2(X−Y).

Two independent Bernoulli r.v., U and V, both with probability of success 1/2. Let X=U+V and Y=∣U−V∣.To calculateThe covariance of X and Y (σX,Y) and if X and Y are independent and the random variable expressed as the conditional expectation of Y given X, i.e., E[Y∣X].Solution(a) Calculation of covariance of X and Y, σX,YUsing the properties of covariance, we have:  σX,Y=E[XY]−E[X]E[Y]​.

Using the expectation calculated above, we can now find the covariance of X and Y as follows:σX,Y=E[XY] Thus, the covariance of X and Y is σX,Y=3/4.(b) Checking independence of X and Y In order to show that X and Y are independent, we need to show that their covariance is zero, i.e., σX,Y=0.

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The slope in a least-squares regression line of the form y = a bx is equal to the coefficient b. This coefficient represents the rate of change in the dependent variable (y) for every one unit increase in the independent variable (x).

Specifically, it represents the change in y divided by the change in x, as b is calculated as the covariance between x and y divided by the variance of x.

This slope is important in understanding the relationship between the variables being studied and can help to make predictions about future values of the dependent variable based on changes in the independent variable.

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The slope and derivative of a vertical tangent are both undefined due to the vertical nature of the tangent line.

The slope/derivative of a vertical tangent.
A vertical tangent occurs when a curve has a point where its tangent line is vertical.

In terms of the slope and derivative, the following is true about the vertical tangent:
Slope:

The slope of a vertical tangent is undefined because the vertical line has no run (change in x). Slope is calculated as the rise (change in y) divided by the run (change in x), and division by zero is not possible.
Derivative:

The derivative of a function at a point represents the slope of the tangent line to the curve at that point.

When the tangent is vertical, the derivative is also undefined because the slope is undefined.

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The side of the square of each block = 2 feet

Given,

Shelly sews a square blanket that has an area of 144 square feet.

and,  it has 36 square blocks, each the same size.

To find the approximate length of each side of a block

Now, According to the question:

36 square blocks of same size. We need to find the area of each square block. so we divide = area / square blocks

= 144/ 36

= 4

The area of each square = 4 square feet

We know that

Area of square = side ^2

Side ^2 = 4

side = \(\sqrt{4}\)

Side = 2

Hence, The side of the square of each block = 2 feet

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Answer:

(i) 2197

Step-by-step explanation:

(i) 13^3

=  (10+3)^3

=  10^3 + 3^3 + 3(10)(3) (10+3)

=  1000 + 27 + 90(13)

=  1027 + 1170

= 2197

Answer:

I donthavepaper

Step-by-step explanation:

For a taxable income of $1,80,900, the effective tax rate is 21.11%.

Marginal tax is the tax rate applied to an individual’s last dollar of income. It is the additional tax that must be paid on any additional income earned. In other words, it is the tax rate that applies to an individual’s income after all deductions. For example, if an individual’s income is $50,000 and the marginal tax rate is 25%, then the individual must pay an additional $12,500 in taxes on top of the $25,000 in taxes already paid on their $50,000 income.

Marginal tax rates are progressive, meaning that as an individual’s income increases, the marginal tax rate will increase as well. The marginal tax rate is important to understand because it helps individuals determine how much additional income they will need to earn in order to make up for the taxes they will have to pay on that income. It is also important to understand how marginal tax rates can affect tax planning strategies.

To determine the effective tax rate for a taxable income of $180,900, calculate the sum of the marginal tax rates for each tax bracket that the $180,900 falls into. The taxable income of $180,900 is greater than $89,075 and less than $170,050. The marginal tax rates for these two tax brackets are 22% and 24%, respectively. The sum of the marginal tax rates is 46%. Divide the sum by the taxable income of $180,900 to get the effective tax rate of 21.11%. Round the final answer to the nearest hundredth to get 21.11%.

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Answer:

f(g(2)) = 4

Step-by-step explanation:

find g(2) then substitute the value obtained into f(x)

locate x = 2 on the x- axis, go vertically up to meet g(x) at (2, 5 )

locate x = 5 on the x- axis, go vertically up to meet f(x) at (5, 4 )

then f(g(2)) = 4

Answer: reflection across the x = -y B

Step-by-step explanation:

The correct answer is option (b) No, the statement does not represent an exponential function, h(t) = -4.9t² + 18t + 40 is a quadratic function and not an exponential function.

An exponential function is a mathematical function in which the variable is in the exponent. Exponential functions follow the form f(x) = a^x, where a is the base and x is the exponent.

The given statement is h(t) = -4.9t² + 18t + 40, which does not represent an exponential function. The value of t is not in the exponent in this case. Instead, it's a quadratic equation, which is in the form of h(t) = at² + bt + c.

Therefore, the correct answer is option (b) No, the statement does not represent an exponential function.

Explanation:

An exponential function can also be represented by the general form y = ab^x, where b > 0 and b ≠ 1. When plotted on a graph, the curve of an exponential function rises or falls at an increasing rate, depending on whether b is greater than or less than 1, respectively.

A quadratic equation is an equation of the form ax² + bx + c = 0, where a ≠ 0, and x represents a variable. Quadratic equations are second-degree equations, which means the highest exponent of the variable is two.

Therefore, h(t) = -4.9t² + 18t + 40 is a quadratic function and not an exponential function.

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The most appropriate choice for profit and loss will be given by

Uncle Ben will feed his cows 2 pounds of grain supplement.

What is profit and loss?

If the selling price is more than the cost price, then the difference between the selling price and the cost price will give the profit.

If the selling price is less than the cost price, then the difference between the selling price and the cost price will give the loss.

Here,

For 1 pound

Cost price of grain supplement  = \(0.70 \times 1\)

                                                      = $\($0.70\)

Selling price of milk = \(0.20 \times 5\)

                                 = $\(1\)

Profit = $(\(1 - 0.70\))

         = $0.30

For 2 pounds

Cost price of grain supplement  = \(0.70 \times 2\)

                                                      = $\($1.40\)

Selling price of milk = \(0.20 \times 9\)

                                 = $\(1.80\)

Profit = $(\(1.80 - 1.40\))

         = $0.40

For 3 pounds

Cost price of grain supplement  = \(0.70 \times 3\)

                                                      = $\($2.10\)

Selling price of milk = \(0.20 \times 12.3\)

                                 = $2.46

Profit = $(\(2.46 - 2.10\))

         = $0.36

For 4 pounds

Cost price of grain supplement  = \(0.70 \times 4\)

                                                      = $\($2.80\)

Selling price of milk = \(0.20 \times 15.5\)

                                 = $3.1

Profit = $(\(3.1 - 2.80\))

         = $0.30

For 5 pounds

Cost price of grain supplement  = \(0.70 \times 5\)

                                                      = $\($3.50\)

Selling price of milk = \(0.20 \times 18\)

                                 = $3.60

Profit = $(\(3.60 - 3.50\))

         = $0.10

For 6 pounds

Cost price of grain supplement  = \(0.70 \times 6\)

                                                      = $\($4.20\)

Selling price of milk = \(0.20 \times 20\)

                                 = $4

Loss = $(\(4.20 - 4\))

         = $0.20

For 7 pounds

Cost price of grain supplement  = \(0.70 \times 7\)

                                                      = $\(4.90\)

Selling price of milk = \(0.20 \times 21.5\)

                                 = $\(4.30\)

Loss = $(\(4.90 - 4.30\))

         = $0.60

For 8 pound

Cost price of grain supplement  = \(0.70 \times 8\)

                                                      = $\($5.60\)

Selling price of milk = \(0.20 \times 22.5\)

                                 = $\(4.50\)

Loss = $(\(5.60 - 4.50\))

         = $1.10

For 9 pounds

Cost price of grain supplement  = \(0.70 * 9\)

                                                      = $\(6.30\)

Selling price of milk = \(0.20 * 23\)

                                 = $\(4.60\)

Loss = $(\(6.30 - 4.60\))

         = $1.70

Since profit from 2 pounds of grain supplement is the most, Uncle Ben will feed his cows 2 pounds of grain supplement.

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Complete Question

Farmer Ben knows that feeding a grain supplement to his cows will produce more milkaccording to the following schedule:

ignoring all other issues, how many pounds of grain supplement should farmer ben feed his cows if the price of milk is $0.20 per pound and the price of grain supplement is $0.70 per pound?

The table has been attached here

Following are all of the subparts' solutions using the probability formula:

Red ball (A) P: 5/8

(B) P: 7/8 (NOT Yellow)

(C) P(yellow or white): 3/8

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.

The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

Probability formula: P(E) = favorable events/Total events

(A) P(red ball):

P(E) = favorable events/Total events

P(E) = 5/8

(B) P(NOT Yellow)

P(E) = favorable events/Total events

P(E) = 7/8

(C) P(white or yellow)

P(E) = favorable events/Total events

P(E) = 3/8

Therefore, the answers to all the subparts using the probability formula are shown:

(A) P(red ball): 5/8

(B) P(NOT Yellow): 7/8

(C) P(white or yellow): 3/8

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The store owner must sell each of the remaining 12 caps at P 130.03 in order to realize a gross profit of 2/5 of the total cost of the caps.

Given the total cost to buy 28 swimming caps is P 2436.

The total number of swimming caps bought = 28

3/14 of total bought swimming caps is = (3/14)*28  = 3*2 = 6.

Given that store owner sells each of this 6 caps at P 100.

So the total earning from selling of this 6 caps = 6 * 100 = P 600.

5/14 of total swimming caps is = (5/14) * 28 = 5 * 2 = 10

The owner sells each this 10 caps at P 125.

So the earning from selling of this 10 caps = 10 * 125 = P 1250

Now total earning from 16 caps = 600 + 1250 = P 1850.

Number of remaining caps = 28 - (6 + 10) = 28 - 16 = 12.

Owner wants to gross a profit of 2/5 of the total cost.

So, profit = (2/5) * 2436 = 974.4

So the total selling price must be = 2436 + 974.4 = P 3410.4.

The earning remaining to achieve the goal of profit = 3410.4 - 1850 = P 1560.4.

So the price of each remaining caps should be = 1560.4/12 = P 130.03 [Rounding off to nearest hundredth].

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Answer:

6 and 4

Step-by-step explanation:

Let the two numbers be x and y.

The sum of two number is 10: x+y=10

Their difference is 2.: x-y=2

Solve simultaneously by adding

2x=12

x=6

Recall:

x-y=2

6-y=2

y=6-2

y=4

Answer:

12 cups

Step-by-step explanation:

There are 48 hours in two days.

48 · 2 = 96 ( 2 being fluid ounces per hour )

96 ÷ 8 = 12 ( 8 being fl oz in each cup )

I hope that this helped!!!

Answer:

\((x+4)^2+(y-8)^2=85\)

Step-by-step explanation:

The standard equation for a circle is given by:

\((x-h)^2+(y-k)^2=r^2\)

Where (h, k) is the center and r is the radius.

We know that the center is (-4, 8). So, substitute -4 for h and 8 for k:

\((x-(-4))^2+(y-8)^2=r^2\\\)

Simplify:

\((x+4)^2+(y-8)^2=r^2\)

Now, we will need to find r.

We know that it passes through the point (-2, -1). So, we can substitute -2 for x and -1 for y and solve for r. So:

\((-2+4)^2+(-1-8)^2=r^2\)

Evaluate:

\((2)^2+(-9)^2=r^2\)

Square:

\(4+81=r^2\)

Add:

\(r^2=85\)

So, r squared is 85.

We don’t actually have to solve for r itself, since we will have to square it anyways.

So, we have:

\((x+4)^2+(y-8)^2=r^2\)

Substituting 85 for r squared, we get:

\((x+4)^2+(y-8)^2=85\)

And we have our equation.

(a) The main number of home runs hit per game is 2.6.

(b) The median number of home runs hit per game is 3.

(c)  The mode(s) of the number of home runs hit per game are 2 and 3.

a) To find the main number of home runs hit, we need to calculate the mean of the data set.

Mean = (1+2+4+3+2+4+3+0+1+2+3+5+2+1+5) / 15 = 2.6

Therefore, the main number of home runs hit per game is 2.6.

b) To find the median, we need to arrange the data set in order from smallest to largest:

0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5

Since there are an odd number of data points, the median is the middle value, which is 3.

Therefore, the median number of home runs hit per game is 3.

c) To find the mode, we need to determine which value appears most frequently in the data set. In this case, 2 and 3 each appear three times, which means that there are two modes: 2 and 3.

Therefore, the mode(s) of the number of home runs hit per game for the Millard Girls' Softball team are 2 and 3.

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Answer:

2x + 5

Please see the photo below for the long division process.... Long division of polynomials is quite simple.... it works just like numbers.

Just make sure that you pay attention to the Signs.

Hope that helps :)

Please let me know if you have any doubts regarding my answer....

Answer:

5 hours, y= how much money it will cost, and x represents how many hours

Step-by-step explanation:

y= 15x+45

120= 15x+45

-45 -45

75= 15x

75/15×= 5 hours

Since 5/12 and 1/2 have the same denominator, join their numerators to subtract them.

Subtract 1 from 5 to get 4.

Reduce the fraction 4/12 to its lowest expression by extracting and canceling 4.

Answer:

I think you've been wrong, you're ask, not answering

Answer:

The percent of interest is 12.3% per year

Step-by-step explanation:

According to the question Elwood invested 5000 $ in market account

The market account gives the compound interest annually

let p be the interest per year then

At the end of 1st year

amount =(1+0.p) x 5000  = 1.p x 5000

similarly at the end of 2nd year

amount =(1+0.p) x(1+0.p)x 5000  = \((1.p)^{2}\) x 5000

similarly at the end of 3rd year

amount = 7100 $ = \((1.p)^3\) x 5000

⇒ \(\frac{71}{50}\) = \((1.p)^3\)  

1.392 =  \((1.p)^3\)

on further solving we get

1.p = \((1.42)^{1/3}\) = 1.123

thus 1.p = 1 + 0.p = 1.123

thus p = 0.123

thus the percent of interest is 12.3% per year

Answer:

drop down 1 a slower rate per year

drop down 2 670

Step-by-step explanation:

as in three years you get $7100

you take that and subtract it by your starting amount (5000)

7100-5000= 2100

then divide 2100 by the number of years (3)

to get your annual rate of 700$

then you take the 8 year total and subtract it from your 3 year total

10350-7100= 3250

Then divide that by 5 because that how many years it has been

to get the annual rate of 650

making the 5 year rate slower.

The to find the average rate over all 8 year you take 10350 and subtract it from your starting number 5000

10350-5000= 5350

then take 5350 and divide it by the number of years (8)

you then get you average rate of 668.75

668.75=670

Hope this helps!

To write Euler's number in Symbolab, you can simply use the notation "e". For example, if you want to evaluate the exponential function with a base of e raised to the power of 2, you can enter "e^2" in Symbolab.

Euler's number, denoted as "e", is a mathematical constant that is approximately equal to 2.71828. To write Euler's number in Symbolab, you can simply use the letter "e" in lowercase. For example, to evaluate the exponential function with a base of e raised to the power of 2, you can enter "e^2" in Symbolab.

Alternatively, if you want to use the built-in function for Euler's number in Symbolab, you can use the "exp(x)" notation, where x is the exponent. For example, to evaluate e raised to the power of 2, you can enter "exp(2)" in Symbolab. Symbolab supports various mathematical functions and constants, including trigonometric functions, logarithmic functions, and mathematical constants, which can be used to solve various mathematical problems.

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s = −81/4,t = −34 so its

Step-by-step explanation: