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The probability of the random variable taking on a value greater than 10, based on the given sample data, is approximately 0.315.

To find the probability of a random variable taking on a value greater than 10 using the given sample data, we can follow these steps:

⇒ Calculate the sample mean (X) and the sample standard deviation () of the data set.

Sample Mean (X) = (-5.5 + 10.6 + 8.6 + 2.8 + 17.3 + 1.4 + 21.1 + 4.3 - 6.4 + 1.1) / 10 = 5.03

Sample Standard Deviation () = sqrt(((₁ - X)² + (₂ - X)² + ... + (ₙ - X)²) / ( - 1))

                        = sqrt(((-5.5 - 5.03)² + (10.6 - 5.03)² + (8.6 - 5.03)² + (2.8 - 5.03)² + (17.3 - 5.03)² + (1.4 - 5.03)² + (21.1 - 5.03)² + (4.3 - 5.03)² + (-6.4 - 5.03)² + (1.1 - 5.03)²) / (10 - 1))

                        ≈ 9.168

⇒ Calculate the z-score of the value 10 using the formula: z = ( - X) /

z = (10 - 5.03) / 9.168 ≈ 0.540

⇒ Find the probability of the random variable being greater than 10 using the standard normal distribution table or a calculator. The z-score corresponds to the area under the standard normal curve to the left of the z-score value.

From the standard normal distribution table, the probability corresponding to a z-score of 0.54 is approximately 0.705.

So, the probability of the random variable taking on a value greater than 10 is approximately 1 - 0.705 = 0.295.

Rounding this answer to three decimal places, we get 0.295.

Therefore, the correct answer choice is 0.315.

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The 'x' coordinate is negative and 'y' coordinate is positive.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

We know that :

π = 180

Therefore,

3π/4 = (3×180)/4 = 3 × 45

3π/4 = 135

In second quadrant, we have negative value if x coordinate and positive value of y coordinate.

Hence, the angle lies in the second quadrant. Second quadrant is enclosed by the negative x axis and positive y axis.

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Answer:

x is negative, and y is positive.

Step-by-step explanation:

The answer above is correct.

An expression that is equivalent to ∛18⁴ is (b) (18)³/⁴

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

∛18⁴

Applying the law of indices, we have

∛18⁴ = (18⁴)¹/³

Evaluate

So, we have

∛18⁴ = (18)³/⁴

Hence, the solution is (18)³/⁴

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The ROI per unit for Jaymes Corporation's rotors is $200.

To calculate the ROI per unit, we need to divide the total return on investment by the number of units produced. In this case, the company has invested $6,000,000 to produce 30,000 rotors.

ROI per unit = Total ROI / Number of units produced

Total ROI = $6,000,000

Number of units produced = 30,000

ROI per unit = $6,000,000 / 30,000 = $200

Therefore, the ROI per unit for Jaymes Corporation's rotors is $200. This means that for every rotor produced, the company expects to generate a return of $200.

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Answer: is x=2/3

Step-by-step explanation:

The probability that a standard normal random variable z is between -2.4 and 0.4 is approximately 0.6472.

To find the probability that a standard normal random variable z is between -2.4 and 0.4, we can follow these steps:

Step 1: Look up the cumulative probability corresponding to -2.4 in the standard normal distribution table. The cumulative probability at -2.4 is approximately 0.0082.

Step 2: Look up the cumulative probability corresponding to 0.4 in the standard normal distribution table. The cumulative probability at 0.4 is approximately 0.6554.

Step 3: Subtract the cumulative probability at -2.4 from the cumulative probability at 0.4 to find the probability between the two values:

P(-2.4 < z < 0.4) = 0.6554 - 0.0082

= 0.6472.

Therefore, The probability that z is between -2.4 and 0.4, when z is a standard normal random variable, is approximately 0.6472. This means that there is a 64.72% chance that a randomly selected value from a standard normal distribution falls within the range of -2.4 to 0.4.

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Answer:

16 + 9 = 25

Step-by-step explanation:

For each term in the sequence, we can see that the second number being added increases by 2 each time (3, 5, 7)

And that the first number of each term increases by the value of the second term

(1 increases by 3; 4 increases by 5)

we can follow out these two observations to find T4

the first term (9) will increase by the value of the second term (7)

{the sum of the previous term is the first number}

so the first number of T4 will be 16.

Because we left off on +7, we are now on +9

so, T4 is

16 + 9 {and then do the math accordingly}

16 + 9 = 25

So, T4 is

16 + 9 = 25

hope this helps!! have a lovely day!! :)

Answer:

a.) 64

b.) 2401

Step-by-step explanation:

Answer:

a.) 64

b.) 2401

Step-by-step explanation:

Answer:

Qualify for an A.P.R. based on their creditworthiness

Step-by-step explanation:

After the introductory period is over you will be set a new APR

Answer:

\({m}^{2} +7m + 28 = 0\)

Step-by-step explanation:

Given that,

\(m = {x}^{2} + 3\)

We know that,

\( {x}^{2} = m- 3\)

Now look at the sum

\(( {x}^{2} + 3) ^{2} + 7 {x}^{2} + 21 = - 10 \\ \)

\(( {x}^{2} + 3) ^{2} + 7 {x}^{2} + 21 = - 10 \\ {m}^{2} + 7 \times m- 3 + 21 = - 10 \\ {m}^{2} +7m + 18= - 10 \\ {m}^{2} + 7m + 18+ 10 = 0 \\ {m}^{2} + 7m + 28 = 0\)

Where the above is given, the required angle m∠BAC = 45°.

In triangle ABC. AC represents the foreman’s line of sight to the top of the landfill. Landfill height is BC

The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°

According to conditions angle b = 90°

The sum of angles of a triangle= 180°

That is a + b + c = 180

Therefore, c = a

       a = (180 - b)/2

          = (180 - 90) / 2

          = 90 / 2

          = 45°

Hence, the required angle m∠BAC = 45°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Question 1 Create Triangle ABC by drawing AC. Segment AC represents the foreman’s line of sight to the top of the landfill. What is Angle m BAC?

The average rate of change of f is less than the average rate of change of g.

The symmetry axis for the functions f and g is either the same or different.The line that passes through the vertex's x value is known as an axis of symmetry. It is the line of symmetry, but for a quadratic equation, and it divides the equation in half.

By examining function f, we can determine the vertex's location by either the lowest point, or (-3, -10). This is so that the numbers before and after (-3, -10), which increase by the same amount, have the same interval as the x values. (For instance, the symmetric pairs x = -5 and x = -1 have y values of -2 and x = -4 and x = -2, respectively, have y values of -8.)

Consequently, x = -3 is the axis of symmetry for function F.because the vertex's x value is -3.The graph demonstrates that x = -3 is also the axis of symmetry for function g because an illustrative vertical line drawn through this value bisects the quadratic.As a result, the symmetry axis for the functions f and g is the same.

The relationship between f's and g's y-intercepts is (less than, equal to, greater than) Where an equation crosses the y axis is known as the y intercept. As x = 0 is the y axis, it always has a value of 0.Looking at function f, the y-intercept of the function is equal to 8 when x = 0.We can observe the y value of when the function g returns aOn the graph, the quadratic intercepts the y axis. It is y = -2.As a result, f's y-intercept is larger than g's y-intercept.The average rate of change of f is (equal to, less than, or greater than) the average rate of change of g across the range [-6, -3].The amount that the y value rises for each unit of x that passes is the rate of change.

For function f, we can see that the function declines by 18 between x = -6 and x = -3. The sum of the rate of change (the amount the y changed / difference between the x values of points) is therefore -18 / 3 = -6.For function g, we can see that the function grows between x = -6 and x = -3. In this instance y value, but we may calculate that it rises by around 9. 9 / 3 = 3.

The average rate of change of f is therefore lower than the average rate of change of g.

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Yes, -4c is an even integer. To justify this, we need to understand the definitions of even and odd numbers.

An even number is defined as any integer that is divisible by 2 without leaving a remainder.

On the other hand, an odd number is defined as any integer that is not divisible by 2 without leaving a remainder.

In the case of -4c, we can see that it is divisible by 2 without leaving a remainder.

We can divide -4c by 2 to get -2c.

Since -2c is an integer and there is no remainder when dividing by 2, -4c is an even integer.

In summary, -4c is an even integer because it can be divided by 2 without leaving a remainder.

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The property of real numbers illustrated by each equation depends on the specific equation. However, some common properties of real numbers include the commutative property, associative property, distributive property, identity property, and inverse property.

The property of real numbers illustrated by each equation depends on the specific equation. However, there are several properties of real numbers that can be applied to equations:

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Answer:

Step-by-step explanation:

a) Yes, both are congruent.

Congruence rule: Side Angle Side - S A S

b) Yes both are congruent

S S S congruence rule

Step-by-step explanation:

First, we want to make sure that both equations are in the same form. Since y=5x+1 is already in slope-intercept form, we will work to turn 2y-10x+3=0 into a slope-intercept equation.

2y-10x+3=0 [Add 10x to both sides]

2y+3=10x [Subtract 3 from both sides]

2y=10x-3 [Divide both sides by 2 so we are left with only y=]

y=5x-(3/2)

Since both equations have the same slope and different y-intercepts, we know that the equations must be parallel and will never cross. Attached is an image of the lines graphed to further prove that the lines are parallel.

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Answer:

d= all the x values

r=all the y values

Step-by-step explanation:

False. Analysts should definitely worry about the users' perceptions of the new system during acceptance testing. Acceptance testing is the final stage of software development where the system is tested by end-users to ensure that it meets the specified requirements and is ready for deployment.

During acceptance testing, analysts need to ensure that users find the system easy to use, efficient, and effective in performing the intended tasks. If the users perceive the system to be difficult to use or inefficient, it can lead to user resistance, decreased productivity, and increased costs. Therefore, analysts need to gather feedback from users during acceptance testing and make necessary adjustments to ensure that the system meets the user's expectations. By doing so, analysts can ensure a successful deployment and adoption of the new system.

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Answer:

  x = 2/3  or  point (x, y) = (2/3, 0)

Step-by-step explanation:

You want to know the x-intercept of the line described by 12x +11y = 8.

The x-intercept of a graph is the point where the y-value is zero. For an equation like this, it is easily found:

  12x +11(0) = 8 . . . . use 0 for y

  12x = 8 . . . . . . . . . simplify

  x = 8/12 = 2/3 . . . . . . divide by the coefficient of x and simplify

The x-intercept is x = 2/3, point (2/3, 0).

__

Additional comment

The y-intercept is similarly found.

  0 +11y = 8

  y = 8/11 . . . . y-intercept

Sum of two interiors =exterior angle

\(\\ \sf\longmapsto 71+62=<2\)

\(\\ \sf\longmapsto <2=133\)

Now

\(\\ \sf\longmapsto <1+<2=180\)

\(\\ \sf\longmapsto <1+133=180\)

\(\\ \sf\longmapsto <1=47\)

The number of trees more than 10m tall but not more than 20m tall is 18 trees.

0 < h ≤ 5 = 5

height greater than 0m less than or equal to 5m

5 < h ≤ 10 = 9

height greater than 5m less than or equal to 10m

10 < h ≤ 15 = 13

height greater than 10m less than or equal to 15m

15 < h ≤ 20 = 5

height greater than 15m less than or equal to 20m

20 < h ≤ 25 = 1

height greater than 20m less than or equal to 25m

The number of trees that are more than 10m tall but not more than 20m tall are;

10 < h ≤ 15 = 13

15 < h ≤ 20 = 5

So,

13 + 5 = 18 trees

Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.

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Answer:

1(rise)/-1(run)  answer = -1

Step-by-step explanation

hope that helped

Your answer: The elasticity of the demand function 2p 3q = 90 at the price p = 15 is -0.5.

To find the elasticity of the demand function, we need to use the following formula:

Elasticity = (dq/dp) * (p/q)

where dq/dp is the derivative of q with respect to p, and (p/q) is the ratio of the two variables at a given point.

First, we need to solve the demand function for q in terms of p:

2p + 3q = 90

3q = 90 - 2p

q = (90 - 2p)/3

Next, we need to find the derivative of q with respect to p:

dq/dp = (-2/3)

Finally, we can plug in the values for p and q to find the elasticity at p = 15:

q = (90 - 2(15))/3 = 20

(p/q) = 15/20 = 0.75

Elasticity = (-2/3) * (15/20) = -0.5

Therefore, the elasticity of the demand function 2p + 3q = 90 at the price p = 15 is -0.5. This means that a 1% increase in price would lead to a 0.5% decrease in quantity demanded.

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The new man's age would be 525, however the standard deviation would remain the same.

The Standard Deviation measures how evenly distributed numbers are. It has the sign (a Greek letter sigma) and the calculation is simple: it's the variance as a square root.

The average national test score is 500, for a standard deviation = 100.

Each score has been boosted by 25 points.

Let y = x + 25

where x is the old mean & y is the new score

E(x) = 500  and standard deviation (x) = 100 (given)

E(y) = E(x + 25)

     = E(x) + 25

     = 500 + 25

     = 525

Variable (y) = Variable (x + 25)

                  = Variable (x)

As, √variance y = √variance x

standard deviation(y) = standard deviation(x)

                                   = 100

Therefore, the new standard deviation is same as the old one.

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P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.

The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.

To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!

Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.

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Answer:

w=24

Step-by-step explanation:

w-9=15

w=15+9

w=24

Answer:

24 1/2

Step-by-step explanation:

just did  

Step-by-step explanation:

Let Matthew be x years old now. April is thus x-6 years old now.

Next year, Matthew will be x+1 years old and April will be x-5 years old.

x+1 = 2(x-5)

x+1 = 2x - 10

x=11

Thus Matthew is 11 while April is 5.