How can you write the explicit rule for a geometric sequence if your know the recursive rule for the sequence?

The null hypothesis is always a statement about the population parameter or the absence of a relationship or difference between variables in a statistical hypothesis test. It is typically denoted as "H0" and assumes no effect or no difference exists.

The null hypothesis can take different forms depending on the specific research question. For example, in a study comparing the mean scores of two groups, the null hypothesis might state that the means are equal. In a correlation study, the null hypothesis could assert that there is no correlation between variables.

The null hypothesis acts as a baseline for comparison in hypothesis testing. Researchers aim to gather evidence against the null hypothesis to support an alternative hypothesis. Statistical analysis helps determine the likelihood of observing the obtained data if the null hypothesis were true.

By specifying a null hypothesis, researchers can objectively evaluate the evidence and draw conclusions about the relationship or difference they are investigating.

In summary, the null hypothesis is a statement about the population parameter or lack of relationship/difference, which serves as a reference point for hypothesis testing. It helps researchers assess evidence and draw conclusions based on statistical analysis.

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Answer:

$32.25

Step-by-step explanation:

first, we devide the price by 100 to know what %1 out of %100 is.

so, 129 ÷ 100 = 1.29.

then, we multiply our answer with 25, since we are looking for what %25 is equal to.

1.29 × 25 = $32.25.

or you could devide the full price (129) by 4, since %25 is a quarter of %100

The amount discounted from the original price is $32.25.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

So the percentage actually means a part per 100.

Percentage is usually denoted by the symbol '%'.

Given that,

Regular price of nike sneakers = $129

Percentage of discount = 25%

Amount discounted from the original price = 25% × 129

                                                                       = (25 / 100) × 129

                                                                       = 0.25 × 129

                                                                       = 32.25

Hence the amount discounted is $32.25.

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Answer:

(4, - 6 )

Step-by-step explanation:

7x - y = 34 ( multiply through by - 1 )

- 7x + y = - 34 ( add 7x to both sides )

y = 7x - 34 → (1)

2x + 3y = - 10 → (2)

substitute y = 7x - 34 into (2)

2x + 3(7x - 34) = - 10

2x + 21x - 102 = - 10

23x - 102 = - 10 ( add 102 to both sides )

23x = 62 ( divide both sides by 23 )

x = 4

substitute x = 4 into (1)

y = 7(4) - 34 = 28 - 34 = - 6

solution is (4, - 6 )

Answer:

y=3x-2

Step-by-step explanation:

We know the equation ends in -2 because when x is zero, y is -2

To find the rest of the equation take any other point and take away the -2 from y

Then divide the y by the x to see how may times larger (or smaller) the y is then the x

(I chose -14)

-12÷-4=3

y=3x

the put the -2 back at the end because otherwise, your -14 would be a -12 and that is not a point on the table

The resulting equation written in standard form is 16x² - 22x + 6 = 0.

Quadratic Equation in Standard Form: ax² + bx + c = 0

a, b and c are known values. a can't be 0.

"x" is the variable or unknown (we don't know it yet).

The "solutions" to the Quadratic Equation are where it is equal to zero.

They are also called "roots", or sometimes "zeros"

We can Factor the Quadratic (find what to multiply to make the Quadratic Equation)

Calculation for the given equation-

Now, y=-16x²+24x+6

Substitute, y = 12+2x in y = -16x²+24x+6.

=> 12+2x = -16x²+24x+6

=> 16x²-24x-6+12+2x = 0

=> 16x²-22x+6 = 0

Therefore, the quadratic equation given in the standard form is 16x²-22x+6 = 0.

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The complete question is-

The two equations are given below;

Y = 12 + 2x   linear equation

Y = -16x² + 24x + 6  quadratic equation

If you substitute 12 + 2x for y in the second equation how is the resulting equation written in standard form?

Answer:

y = \(\frac{c-ax}{b}\)

Step-by-step explanation:

ax + yb = c ( subtract ax from both sides )

yb = c - ax ( isolate y by dividing both sides by b )

y = \(\frac{c-ax}{b}\)

Answer:

155.744

Step-by-step explanation:

Answer:

the sales tax is 1.036 if you solve in this equation 7.25/100*14.29

EXPLANATION

We are told that the payoff for the raffle is one million dollars and we know that each ticket has the following chances of being a winner:

1:125,000

The probability is given by the following relationship:

We need to use the expected means formula and substitute the x variable for the given payoff for the lottery ticket.

Replacing terms:

Simplifying:

The expected payoff is 8 dollars. If

Answer:

the number of times he washes the car

Step-by-step explanation:

Answer:

csacacsac

Step-by-step explanation:

rgergerggsgds

Answer:

Below

Step-by-step explanation:

Losing 27 % of value each year means it retains 73% each year

  we need to multiply 20 000 x  .73 x .73 x .73     ....  .73     (twelve times )

                  or   re-written as   20 000 * .73^12 = value =$ 458.04

Coordinates after 270 clockwise rotation is (-6,-2), (-3,-5) and  (-8, -5).

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given coordinates are: (-2,6) , (-5, 3) and (-5, 8)

For 270° clockwise about the origin, we have the following rule:

(x, y)= (-y, x)

So,

coordinates  (-2,6) change into (-6,-2)

coordinates   (-5, 3) change into (-3,-5)

coordinates  (-5, 8) change into (-8, -5).

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Each machine will print 760 pages

What is arithmetic ?

Arithmetic is an elementary part of mathematics that consists of the study of the parcels of the traditional operations on figures addition, deduction, multiplication, division, exponentiation, and birth of roots.

Main body:

As there are total 6 printing machines

but one of the machines is out of order

which means left working machines = 6-1 = 5

pages to be printed = 3800

so total pages need to be printed by each machine =

3,800 ÷ 5 = 760

Hence, Each machine will print 760 pages

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110 - 1 = 109

1 x 109 = 109

Answer:

\(110 - 1 = 109 \\ 200 - 91 = 109 \\ thank \: you\)

Answer:

222

Step-by-step explanation:230-8

The AAA similarity of the triangle is a criterion that proves two triangles with three pairs of corresponding congruent angles are similar.

What is the AAA Similarity of Triangle?

The AAA similarity is a theorem of a triangle which means "angle-angle-angle", that is, two triangles are similar to each other if they both have three corresponding angles that are congruent to each other.

That is to say, the two triangles have side lengths that are proportional to each other or their corresponding side lengths have equal ratio. Both triangles have the same shape but different sides.

For example, the triangles in the image below, triangles ABC and XYZ, are similar to each other because they have three pairs of corresponding sides that are congruent to each other.

Hence, the AAA similarity of the triangle is a theorem used to show that two triangles are similar if they have three pairs of corresponding angles.

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Answer:its 5

Step-by-step explanation: cuz

The solution of the given expression for the value of d is \(d = \dfrac{F^2+5g}{3M}\).

In mathematics and algebra, an expression is a combination of numbers, variables, mathematical operations (such as addition, subtraction, multiplication, division, exponentiation, etc.), and/or functions.

It represents a mathematical phrase that may or may not have a specific value, depending on the values assigned to the variables.

Expressions can be simple or complex, and they are used to represent mathematical relationships and calculations. They do not contain an equal sign (=) and are not considered to be equations.

The given expression is written as below:-

\(F^2+5g = 3Md\)

The value of d for the given expression is written as,

\(F^2+5g=3Md\\\\d = \dfrac{F^2+5g}{3M}\)

Hence, for the given expression the solution for d is \(d = \dfrac{F^2+5g}{3M}\).

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The image of the complete question is attached below.

Answer:

picture?

Step-by-step explanation:

Answer:

1,240 square centimeters

13 litres of 0.8-liter glasses of waters does it take to fill up a 10.4-liters pitcher.

Concept: In simple words, division can be defined as the splitting of a large group into smaller groups such that every group will have an equal number of items. It is an operation used for equal grouping and equal sharing in math.

Quantity of 1 glass of water= 0.8 liters

Quantity to be filled completely = 10.4 liters

No . of 0.8-liter glasses of waters does it take to fill up a 10.4-liters pitcher = 10.8/0.4 = 13

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Answer:

J(-9,-5)

K(-9,3)

L(0,-2)

M(0,-5)

Based on Mary's findings, she should say that there is a correlation between playing time and the number of goals scored. However, there may or may not be causation, and further studies would need to be done to determine this. It is important to note that just because there is a correlation between the two variables (playing time and number of goals), it does not necessarily mean that one causes the other. In this case, Mary found that a decrease in playing time implies a decrease in the number of goals scored. Therefore, there is a correlation between the two variables, but there may be other factors at play that affect a player's ability to score goals.

b. There is a correlation between playing time and number of goals. There may or may not be causation. Further studies would have to be done to determine this.

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Answer:

D

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

The population mean is greater than $21.

The 95% confidence interval is $13.3896, $34.1304. As $21 is outside of the confidence interval, we can conclude that the population mean is greater than $21.

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The shipping container would hold approximately 2100 cubic feet of shipped goods when it is full.

To find the volume of the shipping container, we multiply its three dimensions: length, width, and height.

Volume = Length × Width × Height

Given the dimensions of the container as 30 ft by 8 ft by 8.75 ft

we can substitute these values into the formula:

Volume = 30 ft × 8 ft × 8.75 ft

Volume= 2100 cubic feet

Therefore, the shipping container would hold approximately 2100 cubic feet of shipped goods when it is full.

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The point prevalence of brilliance at the end of Week 1 is 0.08 or 8%.

The point prevalence of brilliance at the end of Week 2 is 0.17 or 17%.

The point prevalence of brilliance at the end of Week 3 is 0.33 or 33%.

Using person-weeks as denominator, the incidence of brilliance over the course of the 10-week course is 0.017 or 1.7%

In epidemiology context, brilliance can be calculated through calculating point prevalence, cumulative incidence, and incidence rate. The provided data table can be used to determine the point prevalence, incidence, and incidence rate of brilliance among PHE 450 students. So, the calculations of point prevalence, cumulative incidence, and incidence rate based on the provided data are as follows:

The point prevalence of brilliance at the end of Week 1 can be calculated by the following formula; Point prevalence = Total number of existing cases at a given time ÷ Total population at that time

Student #8 was the only existing case of brilliance at the beginning of Week 1, so the point prevalence of brilliance at the end of Week 1 is; Point prevalence = 1 ÷ 12 = 0.08 or 8%.

The point prevalence of brilliance at the end of Week 2 can be calculated by the following formula; Point prevalence = Total number of existing cases at a given time ÷ Total population at that time

Student #3 and Student #8 were existing cases of brilliance at the beginning of Week 2, so the point prevalence of brilliance at the end of Week 2 is; Point prevalence = 2 ÷ 12 = 0.17 or 17%.

The point prevalence of brilliance at the end of Week 3 can be calculated by the following formula; Point prevalence = Total number of existing cases at a given time ÷ Total population at that time

Student #3, #4, #6, and #8 were existing cases of brilliance at the beginning of Week 3, so the point prevalence of brilliance at the end of Week 3 is; Point prevalence = 4 ÷ 12 = 0.33 or 33%.

The incidence of brilliance can be calculated by the following formula; Incidence = Total number of new cases ÷ Total person-weeks of observation

Student #5 and Student #7 developed brilliance during the 10-week course, so the incidence of brilliance over the course of the 10-week course is; Incidence = 2 ÷ 120 = 0.017 or 1.7%.

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Answer:

f(–6) = 10

Step-by-step explanation:

EDGE

f(-6)=10 is the true option regarding the function.

The function is a relationship between a set of inputs with a set of outputs such that one input cannot have two outputs.

General form of a function is f(x)=y

The ordered pairs (x,y) or (x,f(x)) represent the graphical points of a function in the coordinate plane.

The given function is given by the set of ordered pairs

(x,y)={(8,-3),(0,4),(1,-5),(2,-1),(-6,10)}

Clearly f(-6)=10 is the only correct option.

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The best point estimate for the population's standard deviation would be the sample standard deviation of 40.4.

This is because the sample standard deviation is an unbiased estimator of the population standard deviation, and it provides the most accurate estimate of the population parameter based on the available sample data.
The sample standard deviation is the best point estimate is that it measures the variability of the sample data around the sample mean, which is a good representation of the variability of the population data around the population mean. Additionally, using the sample standard deviation as the point estimate allows for greater precision in statistical inference and hypothesis testing.

Hence,  if the sample standard deviation is 40.4, it would be the best point estimate for the population's standard deviation.

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