consider the following data for two independent random samples taken from two normal populations. excel file: sample 1 10 7 13 7 9 8 sample 2 8 7 8 4 6 9 a. compute the two sample means. (to nearest whole number) b. compute the two sample standard deviations. (to 2 decimals) c. what is the point estimate of the difference between the two population means? d. what is the confidence interval estimate of the difference between the two population means? (to 2 decimals and enter negative value as negative number) ( , )

Answer:

9 in = length

Step-by-step explanation:

The formula for the volume of a rectangular prism is V = LWH

Using this formula we get 2970 = 22(15)L

                                                     = 330L

                                                 L= 9 in = length

Answer:

x = 30°

Step-by-step explanation:

l₁ // l₂ and t is transversal. So, corresponding angles are congruent.

         3x - 10 = 2x + 20

Add 10 to both sides,

              3x  = 2x + 20 + 10

             3x  = 2x + 30

Subtract 2x from both sides,

       3x - 2x = 30

               x = 30°

According to question, project managers can assess the outcomes to identify any hazards the project might encounter after it is completely executed.

These risks are frequently examined by project managers and stakeholders to decide whether they are controllable and whether it is worthwhile to move on with the entire project. An organization can control the risk of a novel concept and spot any flaws through a pilot project before significant resources are spent.

On the other hand, a trial is a limited implementation before you launch the pilot project broadly. All the advantages of a pilot project are present, but they are more thorough, and the team is frequently able to test out more features and observe the results on a wider scale.

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The interest which josh will pay on the electric scooter with a simple annual interest of 3% is 7.50.

Interest rate can be defined as the amount of interest which is due per period, as a proportion of the amount lent, deposited, or borrowed by someone.

The interest rate formula is:

Interest Rate = {(Simple Interest × 100)}/{ (Principal × Time)}

Here,

Josh borrowed 250 from his mother to buy an electric scooter and will pay her back in one year with three simple annual interest.

The amount of interest that Josh will pay is calculated as:

Interest = Principal Amount × Rate of Interest × Time

Interest = 250 × 3

Therefore, Josh will pay his mother $7.50 in interest for the loan.

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Answer:

area = (a + b)² = a² + 2ab + b²

Step-by-step explanation:

let side length = a + b

area of a square = side length × side length

⇒ area = (a + b)²

            = (a + b)(a + b)

            = a² + ab + ab + b²

            = a² + 2ab + b²

The fully expanded expression for the area of a square with sides of length a + b is a² + 2ab + b².

The area of a square is given by the formula: Area = side × side.

In this case, the side of the square is a + b.

Therefore, the expression for the area of the square is:

Area = (a + b) × (a + b).

To fully expand this expression using the distributive property, we'll apply the FOIL method (First, Outer, Inner, Last):

Area = a(a + b) + b(a + b)

= a² + ab + ab + b²

= a² + 2ab + b².

So, the fully expanded expression for the area of a square with sides of length a + b is a² + 2ab + b².

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The correct statement about the median м of a continuous distribution is:

A.) Median is the 50th percentile.

The median is defined as the value that divides the distribution into two equal halves. In other words, it is the value such that 50% of the data lies below it and 50% lies above it. Therefore, the median corresponds to the 50th percentile.

Option B is incorrect because the median is not necessarily the 75th percentile.

Option C is incorrect because the statement F(M) = 1 does not accurately describe the median; the value of the cumulative distribution function (CDF) at the median is 0.5, not 1.

Option D is incorrect because the area under the density curve to the left of the median is equal to the area to the right of the median in a symmetric distribution.

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The mean of this probability distribution is 1.55.

To find the mean of a probability distribution, we need to multiply each possible value by its corresponding probability, and then add up these products. So, the mean is:

mean = (0)(0.19) + (1)(0.37) + (2)(0.16) + (3)(0.26) + (4)(0.02)
    = 0 + 0.37 + 0.32 + 0.78 + 0.08
    = 1.55

Therefore, the mean of this probability distribution is 1.55.

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Answer:

£4.20

Step-by-step explanation:

Let :

Equations formed :

Multiply Equation 1 by 5 and Equation 2 by 3 :

Subtract the newly formed equations :

Finding y :

Then :

Cost of 2 kg bananas and 2 kg of apples :

Step-by-step explanation:

sum of angle of quadrilateral is 360°

so,

2a+3a+4a+6a=360°

15a=360°

a = 360°/15= 24°

Now,

2a= 2×24=48

3a=3×24=74

4a=4×24=96

6a=6×24=120

Then the probability of randomly choosing a student with one sibling is:

P =  0.42

To get this probability, we need to take the quotient between the number of students that have a sibling and the total number of students.

On the table we can see that there are:

2 + 7 + 4 + 13 = 26 students in total.

And of these, the ones that have one sibling are:

7 students with only one sister

+

4 students with only one brother.

7 + 4 = 11

Then the probability of having one sibling is:

P = 11/26 = 0.42

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Answer:

Letter c po sorry nasa daan po kasi ako kaya di po ako makakapag explain

Step-by-step explanation:

Sorry po talaga pero sigurado po ako sa sagot ko

The values of a, h, and k are 5, -6 and -2, respectively

In the given function:

y = 5/(x+6) - 2

The function is in the form of a rational function, f(x) = a/(x-h) + k, where a = 5, h = -6, and k = -2.

Therefore, the values of a, h, and k are:

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The value corresponding to surviving the year is -$175, indicating the cost of insurance, and the value corresponding to not surviving the year is $119,825, representing the potential death benefit payout.

From the perspective of the 28-year-old male, the monetary values corresponding to the two events can be determined as follows:

a. Surviving the year: Since there is a 0.9988 probability that the male will live through the year, the value corresponding to surviving the year can be calculated as the premium paid for insurance minus any potential payout.

In this case, the male pays $175 for insurance, and since he survives, there is no payout. Therefore, the value corresponding to surviving the year is -$175.

b. Not surviving the year: Since there is a 0.0012 probability that the male will not survive the year, the value corresponding to not surviving can be calculated as the potential payout in case of death minus the premium paid for insurance.

In this case, the death benefit payout is $120,000, and the male has paid $175 for insurance. Therefore, the value corresponding to not surviving the year is $120,000 - $175 = $119,825.

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The graph of g(x) is the graph of f(x) stretched horizontally by a factor of 2

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

The functions f(x) and g(x)

Where, we have

f(x) = 10ˣ

g(x)= f(2x) = 10²ˣ

So, we have

Horizontal factor = 2x/x

Evaluate

Horizontal factor = 2

This means that the transformation of f(x) to g(x) is (a) f(x) is stretched horizontally by a factor of 2 to g(x).

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Question

Consider the function f(x)= 10^x and the function g(x), which is shown below.

How will the graph of g(x) differ from the graph of f(x)?

g(x)= f(2x) = (10)^2x

Answer:

just graph it 6 women to 5 men so put that on a graph?

Step-by-step explanation:

5 l9-5nl -7 =38

Add 7 to both sides of the equation:

5 l9-5nl -7 +7 = 38 +7

5 l 9 -5n l = 45

Divide both sides by 5

(5 l 9 -5n l ) /5 = 45/5

l 9 - 5n l = 9

Now, we have 2 solutions:

9-5n = 9

And

9-5n = -9

Solve each one

9-5n = 9

9-9 = 5n

0 = 5n

n= 0

9-5n = -9

-5n = -9-9

-5n= -18

n= -18/-5

n= 3.6

Answer:

9

Step-by-step explanation:

Answer:

X intercept (-40,0)

Y intercept: (0, 15)

Step-by-step explanation:

Where the line meets on the x axis, the coordinate is -40, 0 which is the x intercept and as it is for the y intercept, it meets at 0,15

Answer:

B. 432

Step-by-step explanation:

I used a calculator.

Answer:  y = 1.2x + 1.4

Step-by-step explanation:

1. Write down the coordinates of the first point. Let's assume it is a point with x₁ = -2and y₁ = -1.

2. Write down the coordinates of the second point as well. Let's take a point with x₂ = 3 and y₂ = 5.

3. Use the slope intercept formula to find the slope:

m = (y₂ - y₁)/(x₂ - x₁) = (5-1)/(3-2) = 4/1 = 1.2

4. Calculate the y-intercept. You can also use x₂ and y₂ instead of x₁ and y₁ here.

b = y₁ - m * x₁ = -1 - 1.2*-2 = 1.4

5. Put all these values together to construct the slope intercept form of a linear equation:

y = 1.2x + 1.4

if angle c=(2x+3) and angle d= (2x+1) Then, we can only say that: 4x + angle e = 176.

We know that the sum of angles in a triangle is always 180 degrees. Therefore, we can write an equation based on the given information:

angle c + angle d + angle e = 180

Substituting the given expressions for angles c and d, we get:

(2x + 3) + (2x + 1) + angle e = 180

Simplifying and combining like terms, we get:

4x + 4 + angle e = 180

Subtracting 4 from both sides, we get:

4x + angle e = 176

We do not have enough information to solve for x or angle e, as we do not know the value of angle e.

Therefore, we can only say that:

4x + angle e = 176.

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The solution of equation is x=-3

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given

The equation;√x+3=-6

Now,

√x=-6-3

√x=-9

x=-3

Therefore the answer of the given equation will be -3

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The first step that we must take before attempting to solve almost any problem is to determine what the problem statement is asking us to do and what they are giving to us to help finish the problem.  Looking at this question we can see that they have requested for us to solve for x and we were provided with a figure.

After understanding what the problem is asking for us to do we can attempt to solve the problem.  We can see that there are two angles on a straight line and this is known as supplementary angles.  Let us define what supplementary angles are.

In this case we don't have a missing angle but rather a variable that makes up each of the angles.  Using a similar concept we can create an expression with 4x - 6 and 2x and have them combined to equal to 180.  After that we can solve for the unknown which in turn would give us x.

Create an expression

Combine like terms

Add 6 to both sides

Divide both sides by 6

Therefore, after creating an expression and then simplifying it down all the way to just have the value of x equal to something we were able to determine that the unknown variable of x is equal to 31.

\(\huge\text{Hey there!}\)

\(\text{Your equation: }\rm{(2x) + (4x - 6) = 180^\circ}\\\large\text{SOLVING for the x-value}\\\rm{2x + 4x - 6 = 180^\circ}\\\large\text{COMBINE the LIKE TERMS}\\\rm{(2x + 4x) + (-6) = 180^\circ}\\\rm{2x + 4x - 6 = 180^\circ}\\\rm{6x - 6 = 180^\circ}\\\large\text{ADD 6 to BOTH SIDES}\\\rm{6x - 6 + 6 = 180 + 6}\\\large\text{SIMPLIFY IT!}\\\rm{6x = 180 + 6}\\\rm{6x = 186}\\\large\text{DIVIDE 6 to BOTH SIDES}\\\rm{\dfrac{6x}{6} = \dfrac{186}{6}}\\\large\text{SIMPLIFY IT!}\\\rm{x = \dfrac{186}{6}}\\\rm{x= 31}\)

\(\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = 31}}}\huge\checkmark\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\frak{Amphitrite1040:)}\)

For the action of replacing outdated playground equipment in national parks, which does not require a significant monetary commitment, an environmental impact statement is unlikely to be required.

An environmental impact statement (EIS) is typically required for projects or actions that have the potential to significantly impact the environment. In the case of replacing outdated playground equipment in national parks, where the scope of the project is limited and the monetary commitment is not significant, the potential environmental impact is expected to be minimal.

Therefore, it is unlikely that an EIS would be necessary. However, it is important for the National Park Service and Outdoor Play, Inc., to adhere to environmental regulations, ensure proper disposal of old equipment, and select environmentally friendly materials for the new playground equipment to minimize any potential negative environmental effects.

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Angles Formulas at the center of a circle can be expressed as:

Central angle, θ = (Arc length × 360º)/(2πr) degrees

Sum of Interior angles=180°(n-2)

The angles formulas are used to find the measures of the angles. An angle is formed by two intersecting rays, called the arms of the angle, sharing a common endpoint.

The corner point of the angle is known as the vertex of the angle. The angle is defined as the measure of the turn between the two lines.

There are various types of formulas for finding an angle; some of them are the central angle formula, double-angle formula, etc...

We use the central angle formula to determine the angle of a segment made in a circle.

We use the sum of the interior angles formula to determine the missing angle in a polygon.

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The diver's velocity during the first 2 sec of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

Given data: Initial velocity, u = 0 ft/sec

Acceleration, a = g = 32.2 ft/sec²

The maximum rate of fall, vmax = 80 mph

Time, t = 2 seconds

Air resistance constant, Ar = 0.2

We are supposed to determine the sky diver's velocity during the first 2 seconds of fall using the modified Euler method.

The governing equation for the velocity of the skydiver is given by the following:

ma = -m * g + k * v²

where, m = mass of the skydive

r, g = acceleration due to gravity, k = air resistance constant, and v = velocity of the skydiver.

The equation can be written as,

v' = -g + (k / m) * v²

Here, v' = dv/dt = acceleration

Hence, the modified Euler's formula for the velocity can be written as

v1 = v0 + h * v'0.5 * (v'0 + v'1)

where, v0 = 0 ft/sec, h = 2 sec, and v'0 = -g + (k / m) * v0² = -g = -32.2 ft/sec²

As the initial velocity of the skydiver is zero, we can write

v1 = 0 + 2 * (-32.2 + (0.2 / 68.956) * 0²)0.5 * (-32.2 + (-32.2 + (0.2 / 68.956) * 0.5² * (-32.2 + (-32.2 + (0.2 / 68.956) * 0²)))

v1 = 62.732 mph

Therefore, the skydiver's velocity during the first 2 seconds of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

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The measure of the major arc JLK will be 206°. Then the correct option is B.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

The measure of the minor arc JK will be 154°.

Then the sum of the major arc and minor arc in a circle is 360°.

Then the major arc JLK will be given as,

JLK + JK = 360°

JLK + 154° = 360°

JLK = 206°

The measure of the major arc JLK will be 206°. Then the correct option is B.

Your question was incomplete, but the complete question was attached below.

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Answer:x=0,5

Step-by-step explanation:

6x -1/2=1

6x-1=1.2

6x-1=2

6x=2+1

6x=3

x=3/6

x=0,5

Answer:

The correct answer would be 3x/5y

Step-by-step explanation:

You are substracting, and the denominator is the same for both 5x/5y and 2x/5y, so it will remain the same (5y). This only leaves you needing to substract 5x-2x, which equals 3.

5x/5y-2x/5y= 3x/5y

Step-by-step explanation:

\(\frac{5x}{5y}-\frac{2x}{5y}\\ \frac{5x -2x}{5y}\\ \frac{(5-2)x}{5y} \\ \frac{3x}{5y}\)

\(\frac{3x}{5y} \\\)

Answer: yes  9/30 is a  terminating decimal.