A χ-squared goodness-of-fit test is performed on a random sample of 360 individuals to see if the number of birthdays each month is proportional to the number of days in the month. χ-squared is determined to be 23.5.
The P -value for this test is between....
Question 1 options:
a) 0.000 < P < 0.005
b) 0.100 < P < 0.900
c) 0.025 < P < 0.050
d) 0.010 < P < 0.025
e) 0.050 < P < 0.100

1. Yes

2. No

3. Yes

A function is a relationship with unique x-values.

Defining a Function

For a relationship to be a function, the x-values cannot repeat. This means that inputs, aka x-values, can only have one possible output value, also called y-values. For example, if inputting x = 5 resulted in both y = 3 and y = 7, then the relationship would not be a function.

However, y-values do not have to be unique. Functions can repeat y-values and still be functions.

Answers

Now, let's apply this definition to the problems above.

1. The first question gives us a table of x and y-values. From the x-values in the left column, we can see that x-values do not repeat. This means the relationship is a function.

2. The second question gives the inputs and outputs of a function. From looking at the outputs for 0, we can tell that x = 0 produces multiple outputs. This means that not all x-values are unique. Thus, the relationship is not a function.

3. The third image is a graph. At no point on the graph do x-values repeat. Each x-value has one y-value. So, the relationship is a function. Specifically, this graph represents a quadratic function.

{u, v, w} is linearly independent, and the statement is proved.

What is linear function?

A linear function is a mathematical function of the form f(x) = mx + b, where m and b are constants.

To prove this statement, we will use a proof by contradiction.

Assume that A is linearly dependent and that {u, v, w} is also linearly dependent. This means that there exist scalars α, β, and γ, not all zero, such that αu + βv + γw = 0.

Now, we will express w in terms of u and v:

w = u + 2v - tw1

Substituting w in the above equation, we get:

αu + βv + γ(u + 2v - tw) = 0

Simplifying this equation, we get:

(α + γ)u + (β + 2γ)v - γtw = 0

Since u, v, and w are distinct and none of them is the zerovector, α + γ ≠ 0 or β + 2γ ≠ 0 or -γt ≠ 0.

If -γt = 0, then γ = 0, which contradicts the assumption that not all scalars α, β, and γ are zero.

If -γt ≠ 0, then we can express t as t = γ' / (-γ) for some non-zero scalar γ'. Substituting t in the above equation, we get:

(α + γ)u + (β + 2γ)v + γ'w = 0

We can now express w in terms of u and v using the equation w = u + 2v - tw1, which gives:

(α + γ)u + (β + 2γ)v + γ'(u + 2v - tw) = 0

Simplifying this equation, we get:

(α + γ + γ')u + (β + 2γ + 2γ')v - γ'tw1 = 0

Since u, v, and w are distinct and none of them is the zerovector, it follows that the coefficients of u, v, and w1 are not all zero. Therefore, {u1, v1, w1} is linearly independent.

This contradicts the assumption that {u, v, w} is linearly dependent. Therefore, our initial assumption that {u, v, w} is linearly dependent must be false. Hence, {u, v, w} is linearly independent, and the statement is proved.

To learn more about linear function visit:

https://brainly.com/question/2248255

#SPJ4

The value of radius of the circle is,

⇒ r = 7 units

Since, The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

A circle is shown in figure.

Now, We ca formulate the value of radius of the circle is,

⇒ r = 8 - 1

⇒ r = 7 units

Thus, The value of radius of the circle is,

⇒ r = 7 units

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ1

The value of each variable in the circle is:

b = 90°

c = 47°

a = 43°

A circle is a round-shaped figure that has no corners or edges. It can be defined as a closed shape, two-dimensional shape, curved shape.

An angle inscribed in a semicircle is a right angle. Thus,

b = 90°

c = 360 - 133 - 180 (sum of angle in a circle)

c = 47°

a = 180 - 90 - 47  (sum of angle in a triangle)

a = 43°

Learn more about circle on:

https://brainly.com/question/31533348

#SPJ1

The probability of rolling a sum of 3 these dice is 1/18.

Given that, a pair of standard dice are rolled.

There are six different possible outcomes for a dice, the set (S) of all the outcomes can be listed as follows:

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes.

Number of favorable outcomes = 2

Total number of outcomes = 36

Here, probability = 2/36

= 1/18

Therefore, the probability of rolling a sum of 3 these dice is 1/18.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ1

The distance between the robin and the base of the pole is 6.77 meters

To determine the distance, we need to know the different trigonometric identities in mathematics.

These identities are given as;

From the information given, we have that;

The angle of depression, θ = 38 degrees

The distance is unknown

The hypotenuse side is 11 meters

Now, using the sine identity, we have;

sin 38 = d/11

Cross multiply the values

d = 0. 6156(11)

multiply the values

d = 6. 77 meters

Learn more about trigonometric identities at: https://brainly.com/question/7331447

#SPJ1

Answer: the point is (5,4)

To find Keegan's optimal consumption bundle of pita wraps and bubble tea, we need to determine the combination that maximizes his utility while staying within his budget of $30. The price of a pita wrap is $6, and the price of a bubble tea is $3.

Step 1: Calculate the maximum quantity of each item Keegan can buy with his budget.
- Pita wraps: $30 / $6 = 5 wraps
- Bubble teas: $30 / $3 = 10 bubble teas

Step 2: List all possible combinations of pita wraps and bubble teas within the budget.
1. 0 wraps and 10 bubble teas
2. 1 wrap and 8 bubble teas
3. 2 wraps and 6 bubble teas
4. 3 wraps and 4 bubble teas
5. 4 wraps and 2 bubble teas
6. 5 wraps and 0 bubble teas

Step 3: Determine the optimal consumption bundle.
Without information about Keegan's preferences, we cannot definitively determine his optimal consumption bundle. However, these six combinations represent all possible bundles that Keegan can purchase with his $30 budget. Keegan's optimal consumption bundle would depend on his personal preferences for pita wraps and bubble teas.

Learn more about optimal consumption:

https://brainly.com/question/29656249

#SPJ11

The sentence written in the indicative mood is: "The team plays much better after a pep talk from their coach."

The grammatical mood known as the indicative is employed to state or inquire about facts.

The verb forms in the indicative mood show that the action or state described is actually occurring or has already occurred. For instance, the statement "I am walking to the store" is suggestive since it is a factual statement describing an action that is now occurring.

Learn more about indicative mood here : brainly.com/question/27391674

#SPJ1

P(X = k) = (1 - p)^4   for k = 0
P(X = k) = 4p(1 - p)^3   for k = 1
P(X = k) = 6p^2(1 - p)^2   for k = 2
P(X = k) = 4p^3(1 - p)   for k = 3
P(X = k) = p^4   for k = 4

Note that these probabilities add up to 1, as they should for any probability distribution.

(a) The distribution of X can be modeled as a binomial distribution with parameters n = 4 and p, where p is the probability that the friend correctly identifies a milk-first cup as milk-first. Each cup that the friend tastes can either be identified correctly (success) or incorrectly (failure), and there are 4 cups that were poured milk-first in the experiment.

(b) To find the probability mass function (PMF) of X, we need to find the probability of each possible value of X. Since X is a binomial random variable, the PMF of X is given by:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

where (n choose k) is the binomial coefficient, given by:

(n choose k) = n! / (k! * (n - k)!)

where n! denotes the factorial of n.

In this case, n = 4 and there are 4 cups that were poured milk-first, so we have:

P(X = 0) = (4 choose 0) * p^0 * (1 - p)^4 = (1 - p)^4

P(X = 1) = (4 choose 1) * p^1 * (1 - p)^3 = 4p(1 - p)^3

P(X = 2) = (4 choose 2) * p^2 * (1 - p)^2 = 6p^2(1 - p)^2

P(X = 3) = (4 choose 3) * p^3 * (1 - p)^1 = 4p^3(1 - p)

P(X = 4) = (4 choose 4) * p^4 * (1 - p)^0 = p^4

Since X can only take on values between 0 and 4, the PMF of X is given by:

P(X = k) = (1 - p)^4   for k = 0
P(X = k) = 4p(1 - p)^3   for k = 1
P(X = k) = 6p^2(1 - p)^2   for k = 2
P(X = k) = 4p^3(1 - p)   for k = 3
P(X = k) = p^4   for k = 4

Note that these probabilities add up to 1, as they should for any probability distribution.

Visit to know more about Probability:-

brainly.com/question/13604758

#SPJ11

The distance between two divers is 4 meters.

The distance (in meters)  of two divers from a shipwreck located at point X is shown by a number line.

Given,

A = -2.5

X = 0

B = 1.5

To find the distance between two divers, we have to find an expression using subtraction.

Distance between the two divers.

= | B - A |  or | A - B|

Substituting the values, we get

| 1.5 - (-2.5) |

 or

| -2.5 - 1.5|

or  1.5 - (-2.5)

1.5 - (-2.5)

If adding a number to the actual number gives the result 0, then that number is the additive inverse of the actual number.

Therefore, the additive inverse of -2.5 will be 2.5

1.5 + 2.5

= 4

Therefore, the distance between the two divers. = 4m

To learn more about additive inverse;

https://brainly.com/question/1548537

#SPJ4

a) Required probability is independent probability.

b) Required game is 0.000025.

c)Each at-bat is independent of the others.

d) Required probability is 0.0036.

e) Required probability is 0.9964.

a. The given incident is an example of independent probability.

b. The probability of getting seven hits in tonight's game is [tex]0.364^7 = 0.000025[/tex] (rounded to 3 decimal places).

c. Yes, we can assume that each at-bat is independent of the others.

d. The probability of not getting any hits in the game is [tex](1 - 0.364)^7 = 0.0036[/tex](rounded to 3 decimal places).

e. The probability of getting at least one hit is equal to the complement of the probability getting any hits, which is [tex]1 - 0.0036 = 0.9964[/tex] (rounded to 3 decimal places).

Learn more about probability here,

https://brainly.com/question/13604758

#SPJ4

The probability that the randomly selected point falls in the green sector is 1/6.

Option B is the correct answer.

We have,

The area of the green sector can be found by using the formula for the area of a sector:

A = (θ/360)πr²,

Where θ is the central angle and r is the radius.

In this case,

θ = 60° and r = 6 inches,

So the area of the green sector is:

A = (60/360)π(6)²

A = π(6)²/6

A = 6π

So,

The total area of the spinner is π(6)² = 36π.

So the probability of the randomly selected point falling in the green sector is:

P = (Area of green sector)/(Total area of spinner)

P = (6π)/(36π)

P = 1/6

Therefore,

The probability that the randomly selected point falls in the green sector is 1/6.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ1

The probability of selecting an even number card is: 50%

The number of the cards are given as:

4, 5, 6 and 7

Now, an even number are defined as any number that can be exactly divided by 2. Even numbers always end up with the last digit as 0, 2, 4, 6 or 8. Some examples of even numbers are 2, 4, 6, 8, 10, 12, 14, 16.

A number which is not divisible by “2” is called an odd number. An odd number always ends in 1, 3, 5, 7, or 9. Examples of odd numbers: 51 , − 543 , 8765 , − 97 , 9 , etc.

Thus, we have 4 cards and the even number are 2. Thus:

P(even) = 2/4 = 0.5

= 50%

Read more about probability of selection at: https://brainly.com/question/251701

#SPJ1

In the given triangle, the measure of side c is approximately 39 m

From the question, we are to calculate the measure of side c in the given triangle.

To determine the measure of side c, we will use SOH CAH TOA

sin (angle) = Opposite / Hypotenuse

cos (angle) = Adjacent / Hypotenuse

tan (angle) = Opposite / Adjacent

In the given diagram,

Angle = 29°

Opposite = 19 m

Hypotenuse = c

Thus

sin (29°) = 19 / c

0.4848 = 19 / c

c = 19 / 0.4848

c = 39.1914

c ≈ 39 m

Hence,

The measure of c is 39 m

Learn more on Trigonometry here:

https://brainly.com/question/31387901

#SPJ1

The probability for each k value is from 15 to 25 and sum them up to get the final probability.

The situation you described is not a geometric distribution. Instead, it follows a binomial distribution. A binomial distribution is appropriate here because we have a fixed number of trials (25 coin flips), each trial has two outcomes (heads or tails), and the probability of success (getting heads) remains constant throughout the trials.

To calculate the probability of getting 15 or more heads in 25 coin flips, you can use the binomial formula:

[tex]P(X = k) = C(n, k) * p^k * (1-p)^{(n-k)}[/tex]

where n is the number of trials (25), k is the number of successful outcomes (15 or more), p is the probability of success (0.5 for a fair coin), and C(n, k) represents the number of combinations of n items taken k at a time.

You'll need to calculate the probability for each k value from 15 to 25 and sum them up to get the final probability.

learn more about probability

https://brainly.com/question/30034780

#SPJ11

Watershed should offer the promotion to the top 70 customers to maximize their profit from the intervention campaign.

To determine the optimal number of customers to offer the promotion to, Watershed should start by offering it to customers with the highest estimated unsubscribe probability and work their way down until the promotion budget is exhausted. This approach will maximize the chances of persuading customers who are most likely to unsubscribe.

Let's assume that Watershed has a budget of $1000 to spend on promotions. This means they can offer the promotion to a maximum of 100 customers (1000/10).

To calculate the expected profit, we need to consider the probability of a customer unsubscribing, the probability of the promotion persuading them to remain a customer, and the value of retaining a customer and offering a promotion.

If a customer unsubscribes and is not persuaded to remain, the cost to Watershed is $10. If they unsubscribe but are persuaded to stay, the value to Watershed is $50 ($60-$10). If they don't unsubscribe, the cost is $0.

Using the formula given, we can calculate the profit for different values of n (the number of customers offered the promotion):

n = 10:
Profit = 10 * (0.6 * 50 + 0.4 * (-10)) + 0 * (-10) = $460

n = 20:
Profit = 20 * (0.6 * 50 + 0.4 * (-10)) + 0 * (-10) = $780

n = 30:
Profit = 30 * (0.6 * 50 + 0.4 * (-10)) + 0 * (-10) = $990

n = 40:
Profit = 40 * (0.6 * 50 + 0.4 * (-10)) + 0 * (-10) = $1090

n = 50:
Profit = 50 * (0.6 * 50 + 0.4 * (-10)) + 0 * (-10) = $1150

n = 60:
Profit = 60 * (0.6 * 50 + 0.4 * (-10)) + 0 * (-10) = $1180

n = 70:
Profit = 70 * (0.6 * 50 + 0.4 * (-10)) + 0 * (-10) = $1190

n = 80:
Profit = 80 * (0.6 * 50 + 0.4 * (-10)) + 0 * (-10) = $1180

n = 90:
Profit = 90 * (0.6 * 50 + 0.4 * (-10)) + 0 * (-10) = $1150

n = 100:
Profit = 100 * (0.6 * 50 + 0.4 * (-10)) + 0 * (-10) = $1100

From the calculations above, we can see that the maximum profit of $1190 occurs when the promotion is offered to 70 customers. Beyond this point, the cost of offering the promotion to less likely churners outweighs the benefit of retaining those customers.

Therefore, Watershed should offer the promotion to the top 70 customers to maximize their profit from the intervention campaign.

Learn more about probability at https://brainly.com/question/24756209

#SPJ11

Excluding the boundary lines shown on the graph, (4 , 6) is the required ordered pair inside the region of the graph satisfies the given system of linear equation.

The budget of a website to advertise in local newspaper is $600 , and they plan to run no more than 10 advertisements. An ad in the weekend edition is $75, and an ad in the weekday paper is $50.

Let  x be equal to the number of weekend ads, and y be equal to the number of weekday ads.

We can compute the point inside the region of the graph that satisfies the system of linear equations that can be formed as,

75x + 50y = 600 ___(1)

x + y = 10 ___(2)

Solving the system of linear equations in (1) and (2) as,

From equation (2), x= 10- y

Substituting x in equation (1) with x= 10- y, we get,

75( 10- y )+ 50y = 600

⇒ 750 - 75y + 50y = 600

⇒ 25y = 150

⇒ y = 6

Thus, x = 10 - 6 = 4

Hence (x, y) = (4 , 6) inside the region of the graph satisfies the given system of equation.

To know more about system of linear equations here

https://brainly.com/question/27664510

#SPJ1

The formula for the area of a circular petri dish can be represented as A = πr², where "A" represents the area and "r" represents the radius.

To find the approximate increase in the area when the radius increases from r₁ mm to r₂ mm, we can calculate the difference between the areas by subtracting the initial area (A₁ = πr₁²) from the final area (A₂ = πr₂²). This can be expressed as ΔA = A₂ - A₁ = πr₂² - πr₁².

In the second paragraph, let's explain the formula and how to calculate the approximate increase in the area of the bacterial colony on the petri dish. The area of a circular shape is given by the formula A = πr², where "A" represents the area and "r" represents the radius. By substituting the initial radius, r₁, into the formula, we can find the initial area, A₁ = πr₁².

Similarly, by substituting the final radius, r₂, into the formula, we can find the final area, A₂ = πr₂². To calculate the approximate increase in area, we subtract the initial area from the final area: ΔA = A₂ - A₁ = πr₂² - πr₁². This formula allows us to find the difference in the areas of the bacterial colony on the petri dish when the radius increases from r₁ to r₂.

Learn more about Area:

brainly.com/question/1631786

#SPJ11

If an expression for x that does not use an absolute value is y, rewrite |x-y| as x - y.

It is the same as rearranging one expression to plug it into another expression when rewriting algebraic expressions using structure. Solving for one of the variables and then plugging the resulting expression for that variable into the other expression is the initial step to take in these kinds of issues.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Here given :

|x−y| , if x then :

y, x - y is rewritten for  |x−y|

Learn more about expressions visit: brainly.com/question/1859113

#SPJ4

Correct Question:

Rewrite each of the following expressions without using absolute value.

1. |x−y| , if x

The probability that a randomly selected point within the circle falls in the

red-shaded triangle is 0.14.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

Area of the circle.

= πr²

= 3.14 x 15 x 15

= 706.5

Area of the shaded triangle.

= 1/2 x base x height
= 1/2 x 12 x 16

= 6 x 16

= 96

Now,

The probability that a randomly selected point within the circle falls in the

red-shaded triangle.

= Area of shaded triangle /Area of the circle

= 96/706.5

= 0.14

Thus,

The probability that a randomly selected point within the circle falls in the

red-shaded triangle is 0.14.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ5

The perimeter of the triangle XZW is 176.4 units

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

The similar triangles

We start by calculating the missing side lengths using proportions

So, we have

YZ/32 = 28/40

So, we have

YZ = 32 * 28/40

YZ = 22.4

Next, we have

30/WZ = 40/(40 + 32)

So, we have

WZ = 30 *  (40 + 32)/40

WZ = 54

The perimeter of triangle XZW is

P = 28 + 22.4 + 54 + 32 + 40

Evaluate

P = 176.4

Hence, the perimeter is 176.4 units

Read more about perimeter at

https://brainly.com/question/15219052

#SPJ1

Using the concept of inverse variation and provide a solution using the appropriate formula.
The intensity (I) of a light source is inversely proportional to the square of the distance (d) from the source. If the intensity of the light source is 100 units when the distance is 2 meters, what is the intensity when the distance is 5 meters?

The inverse variation formula can be written as I = k / d^2, where I is the intensity, d is the distance, and k is the constant of proportionality.

Determine the constant of proportionality (k) using the initial values.
I = 100 units, d = 2 meters
100 = k / (2^2)
100 = k / 4
k = 400

Use the formula with the new distance (5 meters) to find the new intensity.
I = 400 / (5^2)
I = 400 / 25
I = 16 units

The conclusion is stated as:
When the distance from the light source is increased to 5 meters, the intensity of the light decreases to 16 units. This problem demonstrates the concept of inverse variation, as the intensity of the light source is inversely proportional to the square of the distance from the source.

To know more about inverse variation, visit:

https://brainly.com/question/31706418

#SPJ11

You might need to transfer measurements from the metric system to the US system and vice versa in various situations.

Some examples include:

1. International trade: If you are exporting or importing goods, it's essential to convert measurements to the recipient's preferred system, ensuring proper understanding of product specifications.

2. Travel: When traveling to a different country, you may need to convert distances, speed limits, or temperatures to better understand local road signs or weather conditions.

3. Cooking and recipes: When following a recipe from a different country, converting ingredient measurements can be crucial for accurate results.

4. Construction and engineering: Working on projects with international collaboration may require converting measurements to ensure all parties understand the specifications.

5. Science and education: As the metric system is the standard for scientific research, it may be necessary to convert US measurements to metric for consistency in data reporting and understanding.

Remember to use appropriate conversion factors when transferring measurements between the metric system and the US system to ensure accurate results.

To learn more about metric systems visit : https://brainly.com/question/1837503

#SPJ11

(a) standard error (SE) = 2.0512

(b) probability that the sample mean is smaller than 128 = 0.1635

(c) probability that the sample mean is at least 131 = 0.3121

(a) To calculate the standard error (SE), we use the formula:

SE = (population standard deviation) / sqrt(sample size).

In this case, the population standard deviation is 20, and the sample size is 95.

Therefore,

SE = 20 / sqrt(95) ≈ 2.0512.

(b) To calculate the probability that the sample mean is smaller than 128, first find the z-value using the formula:

z = (sample mean - population mean) / SE.

In this case,

z = (128 - 130) / 2.0512 ≈ -0.98.

Then, use a z-table or calculator to find the probability associated with the z-value:

P(z < -0.98) ≈ 0.1635.

Thus, P(x < 128) = P(z < -0.98) = 0.1635.

(c) To calculate the probability that the sample mean is at least 131, first find the z-value:

z = (131 - 130) / 2.0512 ≈ 0.49.

Then, we need to find the probability P(z ≥ 0.49). Since z-tables provide the probability for z ≤ a given value, we can use the complement rule:

P(z ≥ 0.49) = 1 - P(z ≤ 0.49) ≈ 1 - 0.6879 = 0.3121.

Thus, P(x ≥ 131) = P(z ≥ 0.49) = 0.3121.

To learn more about standard error visit  : https://brainly.com/question/1191244

#SPJ11

To solve an equation, you need to isolate the variable or get it alone on one side of the equation.

Finding the value of the variable is the fundamental goal when solving an equation. You can achieve this by placing the variable alone on one side of the equation or by isolating it. A number of mathematical procedures must be carried out in order to accomplish this while maintaining the equality of the equation and simplifying the expression containing the variable.

The secret is to alter the equation so that the variable term is on its own by adding, removing, multiplying, or dividing both sides by the same number. By using the necessary mathematical procedures, the solution can be derived after the variable has been isolated.

Learn more about equation:

brainly.com/question/14686792

#SPJ4

The table of values of the equation h(x) = -4x + 5 is

x y

-2  13

-1   9

0   5

1   1

Given that

h(x) = -4x + 5

To find the values that complete the table for the given equation h(x) = -4x + 5, we substitute each value of x and evaluate y.

So the completed table is:

x    y

-2  13

-1   9

0   5

1   1

Read more about linear function at

brainly.com/question/15602982

#SPJ1

The calculated value of the probability P(head) is 0.5 i.e. one half

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

Sections = 2

Sections = head and tail

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

Head = 1

When the head section is flipped, we have

P(head) = head/section

The required probability is

P(head) = 1/2

Evaluate

P(head) = 0.5

Hence, the value is 0.5

Read more probability at

https://brainly.com/question/24756209

#SPJ1

The surface area of the pyramid is 186 cm².

Given that the net diagram of a square pyramid, we need to find the surface area of the same,

SA = a² + 2al

a = side length, l = height

SA = 6² + 2×6×12.5

= 186 cm²

Hence, the surface area of the pyramid is 186 cm².

Learn more about surface area, click;

https://brainly.com/question/29298005

#SPJ1