A right triangle has side length of 4 cm and 5 cm what is the length of hypotenuse?

x1 and x2, x1 and x5, x2 and x3, x2 and x5, x3 and x4 and x3 and x5 means differ significantly from one another

The experiment to compare the spreading rates of five different brands of yellow interior latex paint available in a particular area used 4 gallons (J = 4) of each paint.

The value of W for Tukey's procedure is:

W = q(α, 5, 20) * √(MSE/J)

where α = 0.05 is the significance level, 5 is the number of treatments, 20 is the total number of observations (4 observations per treatment), MSE = 450.8 is the mean square error, and q(α, 5, 20) is the critical value from the Studentized range distribution table.

Using the table, we find that q(α, 5, 20) = 3.365.

Substituting the values, we get:

W = 3.365 * √(450.8/4) = 21.63

The means that differ significantly from one another are:

x1 and x2

x1 and x5

x2 and x3

x2 and x5

x3 and x4

x3 and x5

Therefore, the correct answer is:

x1 and x2

x1 and x5

x2 and x3

x2 and x5

x3 and x4

x3 and x5

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The fractions in the options are equivalent to the fraction 18/8, except the option

D; 6/4

A fraction is a representation of a part of an item, by the expressing the proportion consisting of a numerator, divided by a numerator, between which is the divisor bar.

The fraction is; 18/8

Therefore, we get; 18/8 = (2 × 9)/(2 × 4)

The like terms indicates that we get;

(2 × 9)/(2 × 4) = 9/4

Therefore; 18/8 = 9/4

The above fraction is an improper fraction, therefore, we get;

9/4 = (2 × 4 + 1)/4 = 2 1/4

However; 18/8 = (2 × 18)/(2 × 8) = 36/16

Therefore, the numbers in the options A, B, and C are equivalent to the fraction 18/8

The fraction 6/4 is not equivalent to the fraction 18/8

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Answer:

50.2 is the answer as the answer came in point

Rebecca can conduct the hypothesis test and determine whether there is evidence to support the claim that the population mean market value of houses in the neighborhood where she works is greater than $250,000.

To test the claim that the population mean market value of houses in the neighborhood where Rebecca works is greater than $250,000, she conducted a hypothesis test using a sample of 35 houses. The sample mean market value she obtained was $259,860, with a sample standard deviation of $24,922.
To determine whether there is evidence to support the claim, Rebecca can follow these steps:
1. State the null and alternative hypotheses:
  - Null hypothesis (H₀): The population mean market value of houses in the neighborhood is not greater than $250,000.
  - Alternative hypothesis (H₁): The population mean market value of houses in the neighborhood is greater than $250,000.
2. Determine the significance level (α) for the test. This is the maximum probability of making a Type I error, which is rejecting the null hypothesis when it is true. Commonly used significance levels are 0.05 or 0.01.
3. Calculate the test statistic. In this case, since the population standard deviation is unknown, we use the t-distribution. The formula for the t-test statistic is:
  t = (sample mean - hypothesized mean) / (sample standard deviation / √n)
  Substituting the values, we get:
  t = (259860 - 250000) / (24922 / √35)
4. Determine the critical value. This depends on the chosen significance level and the degrees of freedom, which is equal to the sample size minus 1. The critical value can be found using a t-distribution table or a statistical calculator.
5. Compare the test statistic with the critical value. If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that there is evidence to support the claim that the population mean market value is greater than $250,000. If the test statistic is less than the critical value, we fail to reject the null hypothesis.
By following these steps, Rebecca can conduct the hypothesis test and determine whether there is evidence to support the claim that the population mean market value of houses in the neighborhood where she works is greater than $250,000.

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The length of the diagonal of the square is \(4\sqrt{2}\) units. Additionally, the area of the square is \(16\) square units.

If Builtrite is in the 21% tax bracket and had $50,000 in interest expense, the after-tax cost of this interest expense would be $39,500.

To calculate the after-tax cost of the interest expense, we need to apply the tax rate to the expense.

Taxable Interest Expense = Interest Expense - Tax Deduction

Tax Deduction = Interest Expense x Tax Rate

Given that Builtrite is in the 21% tax bracket, the tax deduction would be:

Tax Deduction = $50,000 x 0.21 = $10,500

Subtracting the tax deduction from the interest expense gives us the after-tax cost:

After-Tax Cost = Interest Expense - Tax Deduction

After-Tax Cost = $50,000 - $10,500

After-Tax Cost = $39,500

Therefore, the interest expense would cost Builtrite $39,500 after taxes. This means that after accounting for the tax deduction, Builtrite effectively pays $39,500 for the interest expense of $50,000.

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An independent basic service set (IBSS) does not consist of any access points.

In an IBSS, devices such as laptops or smartphones connect with each other on a peer-to-peer basis, forming a temporary network. This type of network can be useful in situations where there is no existing infrastructure or when devices need to communicate with each other directly.

Since an IBSS does not involve any access points, it is not limited by the number of access points. Instead, the number of devices that can be part of an IBSS depends on the capabilities of the devices themselves and the network protocols being used.

To summarize, an IBSS does not consist of any access points. Instead, it is a network configuration where wireless devices communicate directly with each other. The number of devices that can be part of an IBSS depends on the capabilities of the devices and the network protocols being used.

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Given :

When price is $2 dollars he sells 2400 units .

When price is $8 dollars he sells 600 units .

To Find :

If x represents the price of trucks and y the number of items sold, write an equation for the demand curve.

Solution :

Two points are given :

\((x_1,y_1)=(2,2400)\)

\((x_2,y_2)=(8,600)\)

Now , slope is given by :

\(m=\dfrac{y_2-y_1}{x_2-x_1}\\\\m=\dfrac{2400-600}{2-8}\\\\m=\dfrac{-1800}{6}\\\\m=-300\)

Now , the equation of line containing these two points and slope -300 is :

\((y-y_1)=m(x-x_1)\\\\y-600=-300(x-8)\\\\y=-300x+2400+600\\\\y=-300x+3000\)

Therefore , equation for the demand curve is \(y = -300x +3000\) .

Hence , this is the required solution .

Answer:

40

Step-by-step explanation:

To solve this question you will need to use BEDMAS which is the order of which numbers you have to solve first. In this case you need to solve the brackets first, then the exponent, and then lastly the addition.

 3^3 + 3(4 + 1/3)

= 3^3 + 3(13/3)

= 27 + 3 x 13/3

= 27 + 13

= 40

A(n) MODEL is a mathematical representation of an object created by a special software.

In computer science, a model is a mathematical abstraction of a system, process, or phenomenon that is intended to be simulated or executed on a computer system. A model is used to represent a system or process as a set of mathematical equations or logical rules in order to simulate or analyze it with a computer program.

                                                  It can be a physical object, such as a car or building, or an abstract concept, such as an economic system or a social network. In general, a model can be a simple or complex representation of a real-world object or process, and it can be used for a variety of purposes, such as predicting future outcomes, testing hypotheses, or designing new systems.

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Answer:

20:3

Step-by-step explanation:

no.of boys /no.of girls =20:3

Answer:

fourth option

Step-by-step explanation:

Given

3x³ + 3x² - 18x ← factor out 3x from each term

= 3x(x² + x - 6) ← factor the quadratic

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (+ 1)

The factors are + 3 and - 2, since

3 × - 2 = - 6 and 3 - 2 = + 1, thus

x² + x - 6 = (x + 3)(x - 2) and

3x³ + 3x² - 18x = 3x(x + 3)(x - 2) ← in factored form

Answer:

Step-by-step explanation:

You want the values of x and y when corresponding angles at parallel lines are marked (9x -14)° and (7x +18)°, and a vertical angle to those is marked y°.

Corresponding angles where a transversal crosses parallel lines are congruent:

  (9x -14)° = (7x +18)°

  2x = 32 . . . . . . . . . . divide by °, add 14-7x

  x = 16

Then these angles are ...

  (9(16) -14)° = (144 -14)° = 130°

Vertical angles are congruent, so ...

  y° = 130°

  y = 130

The population of rabbits in the year 2013 is 1186.

To predict the population of rabbits in the year 2013, we can use exponential growth. The formula for exponential growth is:

P = P₀ * e^(rt)

where:

P = final population

P₀ = initial population (950)

r = the growth rate (we need to find this)

t = time elapsed (13 years)

We can use the data from 2003 to find the growth rate:

1000 = 950 * e^(r * 3)

1000 = 950 * e^(3r)

1000/950 = e^(3r)

ln (1000/950) = 3r

r = (ln(1000 / 950)) / 3

r = 0.0171

Now that we have the growth rate, we can use it to find the population in 2013:

P = 950 * e^(0.0171 * 13)

P = 1186

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Complete question:

A bucket of candy contains 24 Jolly Ranchers, 18 Hershey Kisses, 12 packs of Smarties, and some Starburst. The probability of reaching in and pulling out a pack of Smarties is 1/6.How many Starburst are in the bucket?

Answer:

18

Step-by-step explanation:

Give the following :

Number of jolly ranchers = 24

Number of Hershey kisses = 18

Number of smarties = 12

Number of Starburst = s

Probability of pulling out a smarties ; P(smarties) = 1/6

Probability = required outcomes / total possible outcomes

Required outcome = 12

Total possible outcomes = (24 + 18 + 12 + s) = 54 + s

P(smarties) = 12 / (54 + s)

1/6 = 12 / 54 + s

1 × (54 + s) = 12 × 6

54 + s = 72

s = 72 - 54

s = 18

Hence number of smarties = 18

Answer:

A. 6

B. 48

Step-by-step explanation:

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Answer:

a. 6

b. 48

Step-by-step explanation:

For a, replace t with 1. 2^1 is 2, and 3 * 2 is 6.

For b, replace t with 4. 2^4 is 16, and 3 * 16 is 48.

Thank me later! 8)

a) Probability of being ordered from supplier C = 36%

b) Probability of being defective = 2.69%

c) Probability of being defective and being ordered from supplier C = 0.9684%

d) Probability of being defective given it has been ordered from C = 2.69%

e) Probability of being ordered from supplier C given it is defective ≈ 35.97%

To solve the probability questions, let's break them down one by one:

a) The probability of being ordered from supplier C can be calculated by finding the percentage of the container that comes from supplier C. We know that supplier C provides the remaining portion of the container, which is 100% - (40% + 24%) = 36%. Therefore, the probability of being ordered from supplier C is 36%.

b) To calculate the probability of being defective, we need to consider the effective rates of each supplier. The effective rate of supplier A is 1.21%, supplier B is 4.75%, and supplier C is 5.1%. We can calculate the overall probability of being defective by taking the weighted average of the defect rates based on the proportion of each supplier in the container:

Probability of being defective = (40% * 1.21% + 24% * 4.75% + 36% * 5.1%) = 2.69%

c) The probability of being defective and being ordered from supplier C can be calculated by multiplying the probability of being defective (from part b) with the probability of being ordered from supplier C (from part a):

Probability of being defective and ordered from supplier C = Probability of being defective * Probability of being ordered from supplier C

= 2.69% * 36% = 0.9684%

d) To calculate the probability of being defective given it has been ordered from supplier C, we need to find the conditional probability. In this case, we consider the probability of being defective among the items that have been ordered from supplier C. The probability of being defective given it has been ordered from supplier C can be calculated using the following formula:

Probability of being defective given it has been ordered from C = (Probability of being defective and ordered from C) / (Probability of being ordered from C)

= 0.9684% / 36% = 2.69%

e) To find the probability of being ordered from supplier C given that it is defective, we need to calculate the conditional probability. It represents the likelihood of the item being ordered from supplier C, given that it is defective. The probability of being ordered from supplier C given it is defective can be calculated using the formula:

Probability of being ordered from C given it is defective = (Probability of being defective and ordered from C) / (Probability of being defective)

= 0.9684% / 2.69% ≈ 35.97%

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Answer:

x+12 The length of a rectangle

Step-by-step explanation:

The perimeter should be 4x+12, the x being the the width. If the length is the  is 12 inches more than the width, the length should be x+12

Answer:

f(x) = - 3x + 4

Step-by-step explanation:

letting y = f(x) , rearrange making y the subject

Given

9x + 3y = 12 ( subtract 9x from both sides )

3y = - 9x + 12 ( divide all terms by 3 )

y = - 3x + 4, thus

f(x) = - 3x + 4 ← in functional notation

Answer:

x:b116.67

Step-by-step explanation:

120/100

140×100/120

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

x=5

Step-by-step explanation:

-3=x-8

8-3=x

x=5

Answer:

a. The number of different combinations of 2 components that can be chosen from a group of 12 is given by the formula:

nC2 = (n!)/(2!(n-2)!), where n is the total number of components

Substituting n = 12, we get:

nC2 = (12!)/(2!(12-2)!) = (12 x 11)/2 = 66

Therefore, there are 66 different combinations of 2 components that can be chosen from the group of 12.

b. The probability that the faulty component will be chosen for testing depends on the number of ways in which the faulty component can be chosen, and the total number of ways in which any 2 components can be chosen.

The probability of choosing the faulty component on the first pick is 1/12, as there is one faulty component out of a total of 12 components.

After the first component has been picked, there will be 11 components left, including one faulty component. Therefore, the probability of picking the faulty component on the second pick, given that the first pick did not pick the faulty component, is 1/11.

Therefore, the probability of picking the faulty component on either the first or second pick is:

P(faulty component) = P(faulty on first pick) + P(faulty on second pick, given not picked on first pick)

P(faulty component) = (1/12) + ((11/12) x (1/11))

P(faulty component) = 1/12 + 1/12

P(faulty component) = 1/6

Therefore, the probability of choosing the faulty component for testing is 1/6 or approximately 0.1667.

Answer:

They have it on Hulu

Step-by-step explanation:

and I heard something about Naruto360.com.

Answer:

I watched it on Utube

Step-by-step explanation:

You can find the episodes free on Utube just type in the episode and you can find it in many languages

Answer:

At the faster rate (12 gallons per minute)

Time = 60t minutes

At the slower rate (8 gallons per minute)

Time = 120 - 60t minute

Step-by-step explanation:

From the question,

From the statement above, it means 12 gallons per minute is the faster rate and

8 gallons per minute is the slower rate

Also,

He adds water to the pool for a total of 2 hours. That is, the total time he spends adding water to the pool at both rates is 2 hours.

From the question, let t be the time in hours that he adds water to the pool at the faster rate. That is,

At the rate of 12 gallons/minute

Time = t hours (Convert to minute)

(NOTE: 1hour = 60 minute)

Time = t × 60 minute

Time = 60t minute

Since the total time spent was 2 hours, then

The time spent when adding water at the rate of 8 gallons / minute will be

Time = 2 - t hours (convert to minute)

Time = (2 - t) × 60 minutes

Time = 120 - 60t minutes

Hence, the algebraic expression for the time he spends adding water to the pool at the faster rate is

Time = 60t minutes

and for the slower rate

Time = 120 - 60t minute

The statement "Exactly 50% of the area under the normal curve lies to the left of the mean" is a true statement.

In a normal distribution, the mean, median, and mode all coincide, and the distribution is symmetrical.

The mean is the balance point of the distribution, with 50% of the area to the left and 50% to the right of it. Exactly 50% of the area under the normal curve lies to the left of the mean.

This implies that the distribution is symmetrical, and the mean, mode, and median are the same.

Therefore, the statement "Exactly 50% of the area under the normal curve lies to the left of the mean" is a true statement.

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Answer:

x = 12

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

8 + 6x is an exterior angle of the triangle, thus

8 + 6x = 30 + 4x + 2 = 4x + 32 ( subtract 4x from both sides )

8 + 2x = 32 ( subtract 8 from both sides )

2x = 24 ( divide both sides by 2 )

x = 12

D. 80% of the surveyed customers like the taste of the pizza topping. This is an example of descriptive statistics because it describes a specific group of 50 customers who were surveyed and their response to the new topping.

Descriptive statistics are used to summarize and describe data, often by using measures such as percentages, means, and standard deviations. In this case, the percentage of customers who liked the new topping is a descriptive statistic that summarizes the data collected from the survey.

This answer represents descriptive statistics because it summarizes and describes the information collected from the specific sample of 50 customers who participated in the taste test. It does not make assumptions or predictions about the entire population or customer base, but instead focuses solely on the data collected from the sample group.

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Mark wants to fence 4 rectangular gardens. So we calculate the perimeter of the each garden by this formula

P = 2(L) + 2(W)

Total Length of the garden =

=

Length = 18.5 feet

Total width of the garden =

=

Width = 9.0 feet

Perimeter of the garden = 18.5 + 9 = 27.5 feet

Mark wants to fence 4 garden

Therefore, 27.5 × 4 = 110 feet.

Mark needs 110 ft. fencing to surround all 4 gardens.

Answer:

4 1/2 +1 1/2= 5 1/2

Step-by-step explanation