Which Function is shown in the Graph?

Answer:

Sam has the more convincing victory with a greater Zscore value

Step-by-step explanation:

Given that :

Year 1:

Mean finish time (m) = 185.64

Standard deviation (s) = 0.314

Sam's time (x1) = 185.29

Year 2:

Mean finish time (m) = 110.3

Standard deviation (s) = 0.129

Rita's time (x1) = 110.02

Zscore = (x - mean) / standard deviation

Sam's Zscore :

(185.29 - 185.64) / 0.314

= - 0.35 / 0.314

= −1.114649

= - 1.115

Rita's Zscore :

(110.02 - 110.3) / 0.129

= - 0.28 / 0.129

= −2.170542

= - 2.171

Sam has the more convincing victory with a greater Zscore value

Answer:

x + 3y = -15

Step-by-step explanation:

There are 2 ways to find this equation:

The first way:  We have: y = ax + b (this is the line, right?)

The line is through the point (-6, -3) so we have:

-3 = (-6)a + b      (1)

The line is also through the point (-9, -2) so we have:

-2 = (-9)a + b.       (2)

From (1) and (2) we get a equals -1/3, b equals -5. Then:

\(y=-\frac{1}{3} x - 5\)

<=> \(x + 3y=-15\)

The second way:

Let A(-6, -3) and B(-9, -2), then AB = (-3, 1).

=> The normal vector of this line is n = (1, 3).

The line that is through the points A(-6, -3) and B(-9, -2), and has the normal vector n=(1, 3) has the equation:

\(1(x+6) +3(y+3)=0\\x+3y +15=0\\x+3y=-15\)

The value of x is 50 and FTD = 130°

Both of the angles in the diagram must have the same measure because are vertical, then:

3x - 20 = 2x + 30

3x - 2x = 30 + 20

x = 50

That is the value of x.

And we can see that FTD = 2x + 30 = 2*50  + 30 = 130

That is the measure.

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Answer:

Researcher B

Step-by-step explanation:

Power of statistics is the probability that a test will correctly reject a false null hypothesis.

This probability is more accurate with greater sample size as it is better representation of the population.

Therefore researcher B has more power to detect an effect since he has nearly twice sample size (40 vs 22)

The selling price of the item at 10% marlkup is $55

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

Selling price = Cost To Store * (1 + Markup)

substitute the known values in the above equation, so, we have the following representation

Selling price = 50 * (1 + 10%)

Evaluate

Selling price = 55

Hence the selling price of the item is $55

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Answer:

rawrrrrrr mannnnnn

Step-by-step explanation:

Answer:

Boo!

Step-by-step explanation:

Answer:

=40b+24

Step-by-step explanation:

The equation of the transformed function is (c) g(x) = 4(1/3x)²

From the question, we have the following function that can be used in our computation:

f(x) = x²

g(x) = horizontally shrunk of f(x) by a factor 1/3 and vertical stretch by a factor of 4

The above equations implies that, we have the transformation to be:

Mathematically, this can be represented as

g(x) = 4f(1/3x)

Substitute the known values in the above equation, so, we have the following representation

g(x) = 4(1/3x)²

Hence, the transformed function is g(x) = 4(1/3x)²

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The tourist's investment function can be expressed as follows:

f(x) = 720 + 35x

According the question,

The tourist's investment function can be expressed as follows:

f(x) = 720 + 35x

Where x represents the quantity of additional tours that the tourist wants to add to their travel package.

The function f(x) represents the total cost of the travel package plus the additional cost of the extra tours.

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Answer:

i think it is 40%

Step-by-step explanation:

she made 2/5 shots so

2/5*2=4/10

i times it by 2 because its out of 100

4/10*10=40/100

then i times it by 10 to get to 100

(2/5 is not 2 divided by five it is 2 over 5 just incase u didnt know what i was talking about)

Answer:

  96°

Step-by-step explanation:

You want the value of angle C in the diagram with two parallel lines and a triangle between them.

The sum of angles in a triangle is 180°, so the missing angle in the triangle is ...

  180° -60° -24° = 96°

Angle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:

  C = 96°

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The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.

In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.

The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.

To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.

Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.

As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.

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\(1.4 < \sqrt{2} < 1.5\hspace{5em}1.7 < \sqrt{3} < 1.8 \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lllll} 1.7& < &\sqrt{3}& < &1.8\\\\ 1.7-\sqrt{2}& < &\sqrt{3}-\sqrt{2}& < &1.8-\sqrt{2}\\\\ 1.7-1.5& < &\sqrt{3}-\sqrt{2}& < &1.8-1.4\\\\ 0.2& < &\sqrt{3}-\sqrt{2}& < &0.4 \end{array}\)

we're subtracting the upper-bound of √2, so is the most we can subtract from 1.7, and we're subtracting the lower-bound of √2 from 1.8, that way the resultant is within range.

The hypotenuse of a right triangle will be $561$.

What is hypotenuse?

In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle.

Lengths of legs of a right triangle are given that are $264$ and $495$.

According to The Pythagorean Theorem,

\(hypotenuse^{2} = lenght^{2} + lenght^{2}\\hypotenuse^{2} = 264^{2} + 495^{2}\\\\hypotenuse^{2} = 69,696 + 245,025\\ hypotenuse^{2} = 314,721\\hypotenuse = 561\)

The hypotenuse of a right triangle will be $561$.

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Answer:

In the equation y = 2 cos(5x + 3) - 6, we can ignore the coefficients 2 and -6 for the purposes of calculating the period because they do not change the period. They only change the amplitude (2) and vertical shift (-6) of the function.

The coefficient 5 in front of x inside the cosine function affects the period of the function. It is a horizontal compression/stretch of the graph of the function.

The period of the basic cosine function, y = cos(x), is 2π. When there is a coefficient (let's call it b) in front of x, such as y = cos(bx), the period becomes 2π/b.

So, in your case, b = 5, so the period T of the function y = 2 cos(5x + 3) - 6 is:

T = 2π / 5

This is the simplest form for the period of the given function.

The fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

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A table that best represent the equation include the following: H. table H.

In order to determine the table that best represent the equation, we would have to substitute each of the values of x (x-values) into the linear function and then evaluate as follows;

When the value of x = 1 in table F, the linear function is given by;

y = x - 12

y = 1 - 12

y = -11 (False).

When the value of x = 0 in table G, the linear function is given by;

y = x - 12

y = 0 - 12

y = -12 (True).

When the value of x = 2 in table G, the linear function is given by;

y = x - 12

y = 2 - 12

y = -10 (False).

When the value of x = 0 in table H, the linear function is given by;

y = x - 12

y = 2 - 12

y = -10 (True).

When the value of x = 4 in table H, the linear function is given by;

y = x - 12

y = 4 - 12

y = -8 (True).

When the value of x = 6 in table H, the linear function is given by;

y = x - 12

y = 6 - 12

y = -6 (True).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The  initial deposit that he must make is $ 54427.69

The formula for calculating compound interest is expressed as;

Formula: P(t) +P₀(1+r)^t.

here, we have,

$100,000 college fund in 12 years

Given the following parameters

P(t) = $100000

rate r = 5.2% = 0.052

time = 12 years

Substitute to have;

100000 = P₀(1+0.052)^12

100000 = P₀(1.052)^12

P₀ = 100000/1.8373

P₀ = 54427.69

Hence, the initial deposit that he must make is $ 54427.69

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Each piece Measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

When a particular angle is cut into nine equal parts, the measure of each piece needs to be calculated.

Therefore, it is essential to first calculate the total angle measure and then divide it by the number of parts into which it is being cut.

What is an Angle?

An angle is a geometrical shape that consists of two rays sharing a common endpoint. The common endpoint is known as the vertex, and the two rays are known as the arms of the angle. An angle can be measured in degrees, radians, or gradians. Degrees are the most commonly used unit of measuring angles.How to Calculate Each Piece Measurement of an Angle if Cut into 9 Equal Lengths

To determine each piece measurement of an angle if cut into nine equal lengths, we will need to carry out the following steps:

Step 1: Calculate the total angle measure Suppose the angle being cut into nine equal lengths is an obtuse angle measuring 120 degrees. In that case, the total angle measure will be 120 degrees.

Step 2: Divide the total angle measure by the number of parts into which it is being cut.120 degrees ÷ 9 = 13.3333 degrees

Step 3: Add the kerf width to the piece measurements.0.125 x 9 = 1.125 degrees13.3333 + 1.125 = 14.4583 degrees

Therefore, each piece measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

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Answer: The two lines intersect at (-4,3)

Step-by-step explanation:

So our first step would be to turn both of these into standard slope-intercept form.

1.)

4y + 3x = 0

4y = -3x

y = -3/4x

2.)

4y - x = 16

4y = x + 16

y = 1/4x + 4

Now that we have our 2 equations, y = -3/4x and y = 1/4x + 4 we can graph them to get an intersection at (-4,3)

The required length of the other piece of the board is  12.3 meters.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

To find out the length of the other piece we need to subtract the length of one piece from the original length of the board,
So,
Length of the other piece = 19.5 - 7.2 meters
                                        = 12.3 meters

Thus, the required length of the other piece of the board is  12.3 meters.

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Answer:

Hello! answer: x = 68

Hope this helps!

Answer:

x = 68⁰

Step-by-step explanation:

112+112+68+x = 360 (Theorem - The sum of the internal angles of a square is 360.)

292⁰+x = 360⁰

x = 360⁰ - 292⁰

x = 68⁰

Answer:

Step-by-step explanation:

This is the formula to find the sum of the first

n

terms of the sequence. To evaluate it, the values of the first and

n

the terms must be found .Sn=n2⋅(a1+an)

This is an arithmetic sequence since there is a common difference between each term. In this case, adding

6

to the previous term in the sequence gives the next term. In other words,

an=a1+d(n−1)x Arithmetic Sequence:

d=6 This is the formula of an arithmetic sequence X an=a1+d(n−1)Substitute in the values of a1=4 and d=6 x an=4+(6)(n−1)Simplify each term.

an=4+6n−6 Subtract 6 from 4 x an=6n−2 Substitute in the value of N to find the N the term x a5=6(5)−2 Multiply 6 by 5 x a5=30−2 Subtract 2 from 30 x a5=28 Replace the variables with the known values to find

S5 x S5=52⋅(4+28)Add 4 and 28 x S5=52⋅32

Cancel the common factor of

2.

S5=5⋅16 Multiply 5 by 16 x S5=80

Convert the fraction to a decimal.

S5=80

This question discusses Payroll Administration and Management.

Please note that based on the information provided, the weekly gross is K 6,860 the Net Pay is K 4,957  while the monthly Net Pay is K19,828.00.

Payroll Administration and Management is the activity involved in making sure that the compensation and benefits of the employee for the period that they have spent working are well organized, computed, and administered.

The steps to the solution is given below:

1) Note that the information given above is for one week.

The rate per hour is: K125/Hour.

The rate for overtime is 1.5 of the normal rate

Performance Bonus is K45 for every 50 units.

Given the above, the gross pay for the week is:

Normal Pay + Overtime Pay + Performance Bonus Pay.

a) Normal Pay is given as 125 * 40 = K5,000

b) Overtime Pay is given as (125*1.5) * 8 = K 1,500

c) Performance bonus is given as 45 * (400/50) = K360

d) Total Gross therefore is given as 5,000 + 1,500 + 360 = K 6,860

If gross pay is $6,860, Net Pay is calculated by removing deductions.

Deductions are:

Pension fund = 7.5% of K 6,869 = K 514.5

PAYE Tax = 20% of (95% of 6,869) = K 1,310.24 This is because medical aid is non-taxable.

Employee Insurance = 1% of K 6,860= K 68.6

Union Membership = K 10

The Total Deduction, thus, is = 514.5 + 1,310.24 + 68.6 +10 = K 1,903.34

The Net pay =  Gross Pay Less Deductibles

= 6,860 - 1,903

Thus The Net pay = K 4,957 /Week.

Therefore, his monthly net wage will be:

4, 957* 4 = K19,828.00/Month

B) The kind of remuneration method used by company XYZ is

Time Rate System. Under the time rate system, the worker is paid per hour, per day, per week, or per month.

It is normally used for workers who are engaged in highly skilled jobs or highly skilled services, for example, equipment testing, inspection of operations, toolmaking, etc.

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Answer:

Step-by-step explanation:

2x+6=0

2x=-6

x=-3

and

x-4=0

x=4

Therefore, the answer is D :3

Answer:

y = x + 1

Step-by-step explanation:

Parallel lines have same slope.

y = x - 1

Compare with the equation of line in slope y-intercept form: y = mx +b

Here, m is the slope and b is the y-intercept.

m =1

Now, the equation is,

         y = x + b

The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,

        -2 = -3 + b

  -2 + 3 = b

         \(\boxed{b= 1}\)

    Equation of line in slope-intercept form:

                  \(\boxed{\bf y = x + 1}\)      

The equation is :

Solution:

If two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.

We shouldn't forget about a point on the line : (-3, -2).

I plug that into a point-slope which is :

\(\sf{y-y_1=m(x-x_1)}\)

Slope is 1 so

\(\sf{y-y_1=1(x-x_1)}\)

Simplify

\(\sf{y-y_1=x-x_1}\)

Now I plug in the other numbers.

-3 and -2 are x and y, respectively.

\(\sf{y-(-2)=x-(-3)}\)

Simplify

\(\sf{y+2=x+3}\)

We're almost there, the objective is to have an equation in y = mx + b form.

So now I subtract 2 from each side

\(\sf{y=x+1}\)

The relationship between the dates of spread and the number of people infected can vary depending on various factors such as the infectiousness of the disease, the effectiveness of containment measures, population density, and individual behaviors.

However, there is a general rule that can describe the relationship:As the dates of spread progress, the number of infected individuals tends to increase initially, reaching a peak, and then gradually decreasing over time.

This pattern is often referred to as the epidemic curve or the epidemiological curve. In the early stages of an outbreak, the number of cases may grow rapidly as the disease spreads through a susceptible population. This rapid increase is often influenced by factors such as the contagiousness of the disease, population density, and social interactions.

As containment measures, such as vaccination campaigns, public health interventions, and behavioral changes, are implemented, the rate of new infections may start to decline. This can lead to a peak in the number of cases, after which the curve gradually decreases as the disease is brought under control and fewer susceptible individuals remain.

It's important to note that the specific shape, duration, and magnitude of the epidemic curve can vary significantly depending on the disease and the effectiveness of the response measures implemented. Additionally, emerging variants, changes in behavior, and other factors can impact the trajectory of the epidemic curve.

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To calculate how much Naruto spends on ramen in 15 days, we need to determine the total cost of ramen per day and then multiply it by 15.

Since Naruto receives a 33.33% discount, he pays 100% - 33.33% = 66.67% of the original price.

66.67% of 45 cents is (66.67/100) * 45 = 30 cents.

So, Naruto spends 30 cents on ramen per day.

To find out how much he spends in 15 days, we multiply the daily cost by the number of days:

30 cents * 15 = 450 cents.

Therefore, Naruto spends 450 cents, which is equivalent to $4.50, on ramen in 15 days.

Step-by-step explanation:

Number one, 743

× 63

2229

Number four is 2.5/3 (don't trust me too much with this one)

number five, multiply 8.5 by 3 and you'll get 25.5

Answer: the probability that exactly 5 of the 8 cherry tomatoes weigh less than 4 oz is 0.05

Step-by-step explanation:

Given that;

X has normal distribution has mean µ = 3

standard deviation σ = 2  

now

P( x< 4) = P( (x-µ)/σ /(3-4)/5)

= P( z < -0.5 )

= 0.3085  {from the z-table}

X has binomial distribution with n = 8 and p = 0.3085

so P(x=5)

P(x=5) = 8C₅(0.3085)⁵ (1 - 0.3085)⁸⁻⁵

= 0.0517  ≈ 0.05

Therefore the probability that exactly 5 of the 8 cherry tomatoes weigh less than 4 oz is 0.05