4 kids are lined up in a random order. one of the kids is named izzy and another of the kids is named lizzy. let x be the random variable that denotes the number of kids in between izzy and lizzy in line. what is the distribution over x?

Approximately 0.357 or 35.7% of customers require more than 12 minutes to check out.

Since the checkout times are exponentially distributed with a mean of 5.5 minutes, we can use the exponential distribution formula to find the probability that a customer will take more than 12 minutes to check out:

P(X > 12) = 1 - P(X ≤ 12)

where X is the checkout time.

To find P(X ≤ 12), we can use the cumulative distribution function (CDF) of the exponential distribution, which is:

F(x) = 1 - e^(-λx)

where λ is the rate parameter of the distribution. For an exponential distribution with mean μ, the rate parameter λ is equal to 1/μ.

So, in our case, λ = 1/5.5 = 0.1818, and we can calculate P(X ≤ 12) as:

P(X ≤ 12) = F(12) = 1 - e^(-0.1818 × 12) ≈ 0.643

Therefore, the probability that a customer will take more than 12 minutes to check out is:

P(X > 12) = 1 - P(X ≤ 12) ≈ 1 - 0.643 ≈ 0.357

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The area of the rectangle is 104 m², area of the triangle is 15 m², and area of the shaded region is equal to 74 m².

The shaded region is the remaining area in the rectangle which is outside the triangle, so it is derived by subtracting the area of the triangle from the area of the rectangle as follows:

area of the rectangle = 13 m × 8 m

area of the rectangle = 104 m²

area of the triangle = 1/2 × 5 m × 6 m

area of the triangle = 15 m²

area of the shaded region = 104 m² - 15 m²

area of the shaded region = 89 m²

Therefore, the area of the rectangle is 104 m², area of the triangle is 15 m², and area of the shaded region is equal to 74 m².

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a) Firm's fixed costs is 300 dollars. The average total cost is 5.6 dollars. If variable costs were 385 dollar when 124 units were produced, then the total cost equal to at 124 units is 682.6 dollars.

What is variable costs?

Variable costs are that type of costs which change as the quantity of the good or service that a business produces changes. Variable costs are the sum of marginal costs over the sum of units produced. It  can also be considered as normal costs.

A firm produces 125 units of a good. Its variable costs are 400 dollar, and its total costs are 700 dollar.

a) Fixed Costs = Total Costs – (Variable Cost Per Unit × Number of Units Produced)

Here given that, total costs= 700 dollar and total variable costs =400 dollar

Fixed costs= 700 - 400

                = 300 dollars.

b) Average costs= Total costs/ number of goods

                          = 700/125

                           = 5.6

c) Now the variable costs is 385 dollar

Amount of goods = 124 units

Total costs= Fixed costs + variable costs

                 =297.6 + 385 [As the fixed costs for 124 goods is (300×124)/125 which is equals to 297.6]

                 = 682.6 dollars

Hence, Firm's fixed costs is 300 dollars. The average total cost is 5.6. If variable costs were 385 dollar when 124 units were produced, then the total cost equal to at 124 units is 682.6 dollars.

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Answer:

191 ounces at the end of 12 weeks

Step-by-step explanation:

Increasing the width of a confidence interval can be achieved by:
a) Increasing the confidence level: A higher confidence level requires a wider interval to capture the true population parameter with greater certainty.
b) Decreasing the number in the sample: A smaller sample size results in less precision and a wider confidence interval due to increased sampling variability.
c) Increasing the variance: A larger variance implies greater dispersion in the data, which requires a wider confidence interval to accommodate the increased uncertainty.

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Increasing the confidence level or decreasing the sample size would increase the width of a confidence interval. c

Conversely, decreasing the confidence level or increasing the sample size would decrease the width of the confidence interval.

Decreasing the variance of the data would also decrease the width of the confidence interval.

As it would make the data points more tightly clustered around the mean, reducing the uncertainty of the estimate.

On the other hand, a smaller confidence level or a larger sample size would result in a narrower confidence interval.

The breadth of the confidence interval would be reduced if the data's volatility was reduced.

The data points would become more closely packed around the mean, lowering the estimate's level of uncertainty.

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If you are given a sample percentage of 43%, you would need to know the sample size in order to convert this percentage to a proportion.

The conversion formula is proportion = percentage/100. However, the proportion alone does not give information about the sample size, which is necessary for inference and hypothesis testing. The other statements are not true.

The test statistic is not affected by the sample size, but its value can be used to determine the significance of a hypothesis test. A larger p-value indicates weaker evidence against the null hypothesis, not stronger evidence. Finally, we assume the null hypothesis is true until we have sufficient evidence to reject it.

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The width of the rectangle is (x-8).

Given that, the area of a rectangle is x²-10x+16 and the length is x-2,

So, we know that the area of a rectangle is the product of its dimension,

we will factories the given polynomial and the factors obtained will be the dimensions of the rectangle,

Factorizing the polynomial,

= x²-10x+16

= x² - 8x - 2x + 16

= x(x-8) - 2(x-8)

= (x-2)(x-8)

We can say the (x-2) and (x-8) are the dimension of the rectangle.

Since, the area of a rectangle is the product of length and the width.

Hence, the width of the rectangle is (x-8).

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1. x = 4.7 for f(x) and x = 25 for g(x), f(x) reaches 50 first.

2. x = 9.7 for f(x) and x = 50 for g(x), f(x) reaches 100 first.

1. Which function reaches 50 first?

To answer this, we need to solve for x in each function when the output is 50:

For f(x): 50 = 10x + 3

47 = 10x

x = 4.7

For g(x): 50 = 2x

x = 25

Since x = 4.7 for f(x) and x = 25 for g(x), f(x) reaches 50 first.

2. Which function reaches 100 first?

Similarly, we'll solve for x in each function when the output is 100:

For f(x): 100 = 10x + 3

97 = 10x

x = 9.7

For g(x): 100 = 2x
x = 50

Since x = 9.7 for f(x) and x = 50 for g(x), f(x) reaches 100 first.

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a) The probability of a given woman in this age group having a cholesterol level less than 200mg/dl is 6.68%.

b) The probability of a given woman in this age group having a cholesterol level more than 200mg/dl is 93.32%.

c) The probability of a given woman in this age group having a cholesterol level between 190mg/dl and 210mg/dl is 15.87%.

d) If a woman in this age group has a cholesterol level higher than 230mg/dl, it is considered high and puts her at risk of heart disease

To calculate the probability of a given woman in this age group having a cholesterol level less than 200mg/dl, we need to find the z-score first. The z-score is the number of standard deviations that a given value is from the mean. The formula to calculate the z-score is:

z = (x - μ) / σ

where x is the given value, μ is the mean, and σ is the standard deviation.

For a cholesterol level of 200mg/dl, the z-score is:

z = (200 - 230) / 20 = -1.5

We can then use a z-table or calculator to find the probability of a z-score being less than -1.5, which is 0.0668 or approximately 6.68%.

Next, to find the probability of a given woman in this age group having a cholesterol level more than 200mg/dl, we can use the same process but subtract the probability of a z-score being less than -1.5 from 1 because the total probability is always 1.

So, the probability of a given woman in this age group having a cholesterol level more than 200mg/dl is:

1 - 0.0668 = 0.9332 or approximately 93.32%.

Finally, to find the probability of a given woman in this age group having a cholesterol level between 190mg/dl and 210mg/dl, we need to find the z-scores for both values.

For a cholesterol level of 190mg/dl, the z-score is:

z = (190 - 230) / 20 = -2

For a cholesterol level of 210mg/dl, the z-score is:

z = (210 - 230) / 20 = -1

We can then use the z-table or calculator to find the probability of a z-score being between -2 and -1, which is 0.1587 or approximately 15.87%.

Finally, a brief report on the guidance that you would give a woman having high cholesterol levels in this age group is:

It is essential to make lifestyle changes such as eating a healthy diet, exercising regularly, quitting smoking, and managing stress to lower cholesterol levels.

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The given information describes the measures of two angles, A and B. Angle A is represented as ∠A and has a measure of 6x-2 degrees. Angle B is represented as ∠B and has a measure of 4x+48 degrees. These measures are respectively shown in the colors #11accd and #28ae7b.

The question gives us two equations, one for angle A and one for angle B, in terms of x. We will have to solve for x and then find the measure of angle A.

To solve for x, we can set the expressions for ∠A and ∠B equal to each other and solve for x

∠A = ∠B

6x - 2 = 4x + 48

Subtracting 4x from both sides we get

2x - 2 = 48

Adding 2 to both sides we get

2x = 50

Dividing by 2 we get

x = 25

Now that we have found the value of x, we can substitute it into the expression for ∠A

∠A = 6x - 2

∠A = 6(25) - 2

By multiplying 6 with 25 we get

∠A = 150 - 2

By Subtracting we get

∠A = 148

Hence, the measure of angle A is 148 degrees.

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Answer:

Step-by-step explanation:

a) The system of equations modeling this scenario is as follows:

C = 11.50 + 0.9n

C = 13.25 + 0.55n.

b) The number of toppings where the cost is the same at either Pizza Palace or Tasty Pizza is 5.

What is a system of equations?

A system of equations is two or more equations solved concurrently.

A system of equations is also called simultaneous equations because the equations are solved at the same time or simultaneously.

                              Pizza Palace    Tasty Pizza

Pizza cost per unit       $11.50             $13.25

Topping cost per unit  $0.90              $0.55

Let the number of toppings = n

Let the total cost for the pizza at each pizza place = c

Equations:

The total cost at Pizza Palace C = 11.50 + 0.9n... Equation 1

The total cost at Tasty Pizza, C = 13.25 + 0.55n... Equation 2

For the total cost, c, to be the same at the pizza places, Equation 1 must equate Equation 2:

That is, C = C.

Substituting the values of C:

11.50 + 0.9n = 13.25 + 0.55n

0.35n = 1.75

n = 5

The component form of the sum of u and v with direction angles is u + v = (10√2 - 50)i + 10√2 j.

We are given the magnitudes and direction angles of vectors u and v. We need to find the component form of their sum.

Let's first convert the given magnitudes and direction angles to their corresponding components. For vector u:

|u| = 20, θu = 45°

The x-component of u is given by:

ux = |u| cos(θu) = 20 cos(45°) = 10√2

The y-component of u is given by:

uy = |u| sin(θu) = 20 sin(45°) = 10√2

Therefore, the component form of vector u is:

u = 10√2 i + 10√2 j

Similarly, for vector v:

|v| = 50, θv = 180°

The x-component of v is given by:

vx = |v| cos(θv) = -50 cos(180°) = -50

The y-component of v is given by:

vy = |v| sin(θv) = 50 sin(180°) = 0

Therefore, the component form of vector v is:

v = -50 i + 0 j

The component form of the sum of u and v is given by the sum of their x- and y-components:

u + v = (10√2 - 50) i + (10√2 + 0) j

Simplifying, we get:

u + v = (10√2 - 50) i + 10√2 j

Therefore, the component form of the sum of u and v is:

u + v = (10√2 - 50) i + 10√2 j

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The question is -

Find the component form of the sum of u and v with the given magnitudes and direction angles θu and θv.

| | u | | = 20 , θu = 45° | | v | | = 50 , θv = 180°.

The value of "a" is approximately 1.83 given that the absolute value of the difference of the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive.

We are given that the absolute value of the difference between the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive. We need to find the value of "a".

Let the two roots of the equation be r1 and r2, where r1 is not equal to r2. Then, we have:

|r1 - r2| = √(61) / 3

The sum of the roots of the quadratic equation is given by r1 + r2 = -5 / a, and the product of the roots is given by r1 × r2 = -3 / a.

We can express the difference between the roots in terms of the sum and product of the roots as follows:

r1 - r2 = √((r1 + r2)² - 4r1r2)

Substituting the expressions we obtained earlier, we have:

r1 - r2 = √(((-5 / a)²) + (4 × (3 / a)))

Simplifying, we get:

r1 - r2 = √((25 / a²) + (12 / a))

Taking the absolute value of both sides, we get:

|r1 - r2| = √((25 / a²) + (12 / a))

Comparing this with the given expression |r1 - r2| = √(61) / 3, we get:

√((25 / a²) + (12 / a)) = √(61) / 3

Squaring both sides and simplifying, we get:

25 / a² + 12 / a - 61 / 9 = 0

Multiplying both sides by 9a², we get:

225 + 108a - 61a² = 0

Solving this quadratic equation for "a", we get:

a = (108 + √(108² + 4 × 61 × 225)) / (2 × 61)

Since "a" must be positive, we take the positive root:

a = (108 + √(108² + 4 × 61 × 225)) / (2 × 61) ≈ 1.83

Therefore, the value of "a" is approximately 1.83.

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The question is -

Given that the absolute value of the difference of the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive, what is the value of "a"?

Answer: 2(n6)

And true states are

The two operations are mulitplication and substraction

The constants are 2 and 6

The expression is written as  2(n-6)

Step-by-step explanation:

Answer:

A,C,D,E should be correct.

A. Replace “a number” with the variable, n.

C. The two operations are multiplication and subtraction.

D. The constants are 2 and 6.

E. The expression is written as 2(n – 6).

hope this helped!

1.  The radius of V is approximately 14.04 meters.2.The circumference of V is approximately 88.24 meters. 3.mST arc is  26.85 degrees. 4.the length of ST arc is approximately 6.61 meters. 5.34.69 meters. 6.88.24m.

In geometry, a sector is a part of a circle enclosed by two radii and an arc. Essentially, a sector is a slice of a circle. The two radii that form the sector are equal in length and share a common endpoint, which is the center of the circle. The arc of the sector is a portion of the circumference of the circle and its length is proportional to the measure of the central angle that it subtends.

We can use the given information to solve for the following:

1. Radius of V:

The area of a circle is given by the formula A = πr². We are given the area of V as 624.36 square meters, so we can solve for the radius r as:

A = πr²

624.36 = πr²

r² = 624.36/π

r ≈ 14.04 meters

Therefore, the radius of V is approximately 14.04 meters.

2. Circumference of V:

The circumference of a circle is given by the formula C = 2πr. Using the radius we just found, we can solve for the circumference of V as:

C = 2πr

C = 2π(14.04)

C ≈ 88.24 meters

Therefore, the circumference of V is approximately 88.24 meters.

3. mST arc:

The area of the sector SVT is given as 64.17 square meters. The area of a sector is given by the formula A = (θ/360)πr², where θ is the central angle of the sector in degrees. We are not given the value of θ, but we can solve for it as:

A = (θ/360)πr²

64.17 = (θ/360)π(14.04)²

θ ≈ 26.85 degrees

Therefore, the central angle of the sector SVT is approximately 26.85 degrees, and mST arc is also 26.85 degrees.

4. Length of ST arc:

The length of an arc of a circle is given by the formula L = (θ/360)C, where θ is the central angle of the arc in degrees, and C is the circumference of the circle. We can use the values we have already calculated to solve for the length of ST arc as:

L = (θ/360)C

L = (26.85/360)(88.24)

L ≈ 6.61 meters

Therefore, the length of ST arc is approximately 6.61 meters.

5. Perimeter of shaded region (sector):

The perimeter of a sector is the sum of the length of the arc and the lengths of the two radii that form the sector. Using the values we have already calculated, we can solve for the perimeter of the shaded sector as:

Perimeter = L + 2r

Perimeter = 6.61 + 2(14.04)

Perimeter ≈ 34.69 meters

Therefore, the perimeter of the shaded region (sector) is approximately 34.69 meters.

6. Perimeter of unshaded region (remaining circle part):

The perimeter of a circle is given by the formula C = 2πr. Using the radius we previously calculated, we can solve for the perimeter of the unshaded region as:

Perimeter = 2πr

Perimeter = 2π(14.04)

Perimeter ≈ 88.24 meters

Therefore, the perimeter of the unshaded region (remaining circle part) is approximately 88.24 meters.

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Step-by-step explanation:

Use Pythagorean theorem to find the base of the right triangle

221^2 = 195^2 + b^2

b = 104 km

triangle area = 1/2 base * height =  1/2 * 104 * 195 = 10140 km^2

Now multiply by the height to find volume

10140 km^2  * 15 km  = 152100 km^3

Answer:

1. y = 4x + 2

2.  y = 3x – 7

3. y = 7x + 6

4. y= 2x + 8

Step-by-step explanation:

1. y = 4x + 2

2.  y = 3x – 7

3. y = 7x + 6

4. y= 2x + 8

These 4 equations have a positive slope because remember in the equation (y=mx+b) m = slope and since these equations have positive numbers in the m spot the slope of these equations are positive.

The number of hamburgers sold on Sunday was 89

Let's assume that the number of hamburgers sold on Sunday was x.

According to the problem, the number of cheeseburgers sold was three times the number of hamburgers sold.

Therefore, the number of cheeseburgers sold can be expressed as 3x.

The total number of hamburgers and cheeseburgers sold was 356.

Therefore, we can write an equation to represent this information:

x + 3x = 356

Simplifying the left-hand side of the equation, we get:

4x = 356

Dividing both sides by 4, we get:

x = 89

Therefore, the number of hamburgers sold on Sunday was 89, and the number of cheeseburgers sold was 3 times that, or 267.

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Answer:

[tex] \sqrt{7y} ( \sqrt{27y} + 5 \sqrt{12y} )[/tex]

[tex] \sqrt{7y} ( \sqrt{9} \sqrt{3y} + 5 \sqrt{4} \sqrt{3y} )[/tex]

[tex] \sqrt{7y} (3 \sqrt{3y} + 10 \sqrt{3y} )[/tex]

[tex]13 \sqrt{7y} \sqrt{3y} [/tex]

[tex]13y \sqrt{21} [/tex]

Since a side of the triangle below has been extended to form an exterior angle of 67°, the value of x is equal to 52°.

In Mathematics, the exterior angle theorem or postulate can be defined as a theorem which states that the measure of an exterior angle in a triangle is always equal in magnitude (size) to the sum of the measures of the two remote or opposite interior angles of that triangle.

By applying the exterior angle theorem, we can reasonably infer and logically deduce that the sum of the measure of the two interior remote or opposite angles in the given triangle is equal to the measure of angle x (∠x);

∠y + 67° = 180°

∠y = 180° - 67°

∠y = 113°

∠x = 180° - (15° + 113°)

∠x = 52°

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A basis for Col A is (-2,2,0,0) and (4,-6,0,0). A basis for Nul A is (2,1,0,0), (-1,0,1,1/2), and (-2,0,0,1). These bases were found using the row reduced form of A.

Since A is row equivalent to B, they have the same row space, null space, and column space. Thus, we can find the bases for Nul A and Col A using the row reduced form of A, which is

[tex]\left[\begin{array}{cccc}1&-2&1&2\\0&1&1/2&-1\\0&0&0&0\\0&0&0&0\end{array}\right][/tex]

To find a basis for Col A, we can take the columns of A that correspond to the pivot columns in the row reduced form. In this case, the pivot columns are the first and second columns. Therefore, a basis for Col A is

(-2, 2, 0, 0), (4, -6, 0, 0)

To find a basis for Nul A, we need to solve the system of homogeneous linear equations Ax = 0, which is equivalent to solving the system of equations corresponding to the row reduced form. Letting the free variable be t, we have

x¹ - 2x² + x³ + 2x⁴ = 0

x² + (1/2)x³ - x⁴ = 0

Expressing x¹ and x⁴ in terms of x² and x³, we get

x¹ = 2x² - x³ - 2x⁴

x⁴ = (1/2)x³ - x²

Thus, any solution to Ax = 0 can be written as

x = (2x² - x³ - 2x⁴, x², x³, (1/2)x³ - x²) = x²(2, 1, 0, 0) + x³(-1, 0, 1, 1/2) + x⁴(-2, 0, 0, 1)

Therefore, a basis for Nul A is

(2, 1, 0, 0), (-1, 0, 1, 1/2), (-2, 0, 0, 1)

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Answer:

A: the scale is missing

i hope this helps

Step-by-step explanation:

Answer:

the numbers are supposed to start at zero and the scale is missing

Answer: Of the two numbers you provided, +3 is greater than -7. So, +3 is the most upper of the two numbers.

Answer: +3

Step-by-step explanation: Positive 3 is greater than negative 7. Therefore, +3 is the greater value.

You would travel 200 kilometers in 2.5 hours along the Old Geelong Road if you drove at the speed limit of 80 km/h.

If the speed limit along the Old Geelong Road is 80 km/h, it means that you are not allowed to drive faster than 80 km per hour on this road. To find the distance you would travel in 2.5 hours, you need to know how far you can travel in one hour at this speed.

Since the speed limit is 80 km/h, you can travel 80 kilometers in one hour. Therefore, in 2.5 hours, you would travel:

Distance = Speed × Time

Distance = 80 km/h × 2.5 h

Distance = 200 km

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The cost of the concrete for these steps is approximately $14 to the nearest dollar.

What is meant by cost?

Cost is the amount of money or resources required to produce or obtain something. It includes the expenses incurred in the production or acquisition of goods or services.

What is meant by the dollar?

A dollar is a currency unit used in several countries, including the United States, Canada, Australia, and New Zealand. It is a standard unit of currency that represents a specific value and is used in financial transactions to buy goods and services.

According to the given information

The volume of one step is:

3 ft × 1.17 ft × 0.46 ft = 1.28 cubic feet

There are a total of 4 steps, so the total volume of concrete used for the steps is:

4 × 1.28 cubic feet = 5.12 cubic feet

Now that we know the volume of concrete used, we can find the cost by multiplying it by the cost per cubic foot:

5.12 cubic feet × $2.78 per cubic foot ≈ $14.26

Therefore, the cost of the concrete for these steps is approximately $14 to the nearest dollar.

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The number of students that would be expected to be unable to complete the exam in the allotted time is 8 students.

To find the number of students who would be unable to complete the exam in the allotted time, we need to calculate the number of students who take more than 90 minutes to complete the exam.

First, we calculate the z-score for the cutoff point of 90 minutes:

z = (90 - 80) / 10 = 1

Using a standard normal distribution table, we find that the probability of a student taking more than 90 minutes is approximately 0.1587.

Therefore, the expected number of students who would be unable to complete the exam in the allotted time is:

0.1587 x 50 = 7.935

Rounding up to the nearest integer, we can expect 8 students to be unable to complete the exam in the allotted time.

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The complete question is :

If a class of 50 students has an examination period of 90 minutes, and the average time a student takes to complete the exam is 80 minutes with a standard deviation of 10 minutes, how many students would be expected to be unable to complete the exam in the allotted time?

Answer:

Step-by-step explanation:

first you divide the shape into 3 parts ;a big triangle, and 2 little squares

after that to get the height of the triangle i gotten by adding

3+5+2+6=16yd

area of a triangle =1/2 × b×h

area =1/2×7×16

area=112/2

area=56yd²

small squre 1=

area=5×5

=25yd²

area of small rectangle=

area=LB

=3×2

=6yd²

total area =triangle+square+rectangle

=56+25+6

TA=87yd²

The probability that the mean clock life would be less than 13.6 years in a sample of 40 wall clocks is 0.1337

The probability that the mean clock life would be less than 13.6 years in a sample of 40 wall clocks can be calculated using the t-distribution since the population variance is unknown. The formula for t-distribution is:

t = (x-bar - μ) / (s / √n)

where x-bar is the sample mean, μ is the hypothesized population mean (14 years), s is the sample standard deviation (the square root of the sample variance), and n is the sample size (40).

Using the given variance, we can calculate the sample standard deviation as √16 = 4. Plugging in the values, we get:

t = (13.6 - 14) / (4 / √40) = -1.118

Using a t-distribution table with degrees of freedom (df) = n - 1 = 39, we find that the probability of getting a t-value less than -1.118 is 0.1337. Therefore, the probability that the mean clock life would be less than 13.6 years in a sample of 40 wall clocks is 0.1337 (rounded to four decimal places).

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The relative frequency of spinning a 1 is 0.32 or 32%.

The given table shows the results of spinning a spinner 50 times. The outcomes of the spins are listed in the first column, and the frequencies are listed in the second column. To find the relative frequency of spinning a 1, we need to divide the frequency of spinning a 1 by the total number of trials (50).

According to the table, the frequency of spinning a 1 is 16. Therefore, the relative frequency of spinning a 1 can be calculated as follows:

Relative frequency of spinning a 1 = (frequency of spinning a 1) / (total number of trials)

Relative frequency of spinning a 1 = 16 / 50

Relative frequency of spinning a 1 = 0.32 or 32%

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The solution to the inequality is x ≥ -2. This means that any number greater than or equal to -2 will make the inequality true.

In mathematics, inequality is a relationship or a statement that compares two numbers or expressions that are not equal. It is expressed by symbols such as, >,,, or, which indicate which value is lower, greater, or simply different.

The given inequality can be written as:

5x - 1 ≥ -11

To solve for x, we can isolate the variable by adding 1 to both sides of the inequality:

5x ≥ -11 + 1

5x ≥ -10

Finally, we can solve for x by dividing both sides of the inequality by 5:

x ≥ -10/5

x ≥ -2

Therefore, the solution to the inequality is x ≥ -2. This means that any number greater than or equal to -2 will make the inequality true.

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