Justice hopes to build a fence to surround his garden. He measures and determines that he needs 24 feet of fencing. When he arrives at the home improvement store, he realizes fencing is priced at $0.25 per inch. How much will it cost Justice to fence in his garden

i) Thus, there are 24 four-digit numbers that can be formed if the number is divisible by 5

ii) the number of four-digit numbers that can be formed is 24 + 180.

i) the number is divisible by 5 and repetition is not allowed.

When the digits 3, 4, 5, 6, 7, 8 are arranged in ascending order, the smallest number that can be formed is 3458.

Also, the last digit of any number that is divisible by 5 should be 5 or 0. So, we can select one digit from the remaining four digits (excluding 5) for the thousands digit and the remaining digits can be arranged in any order in the hundreds, tens, and ones places.

Therefore, the number of four-digit numbers that are divisible by 5 and do not have repetition is:4 × 3 × 2 = 24

Thus, there are 24 four-digit numbers that can be formed if the number is divisible by 5 and repetition is not allowed.

ii) the number is larger than 6500 and repetition is allowed.

Since the number is greater than 6500, the thousands digit must be either 6, 7, or 8. If the thousands digit is 6, then the remaining three digits can be selected in 5P3 ways (since repetition is allowed). Similarly, if the thousands digit is 7 or 8, the remaining digits can be selected in 5P3 ways.

Therefore, the number of four-digit numbers that are greater than 6500 and repetition is allowed is:3 × 5P3 = 3 × 60 = 180

Thus, there are 180 four-digit numbers that can be formed if the number is larger than 6500 and repetition is allowed.

In total, the number of four-digit numbers that can be formed is 24 + 180.

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Answer:

\((a)\ y = 2x\)

\((b)\ x= 12\)

Step-by-step explanation:

Given

\(rose = \$2\)

Solving (a): The equation

Let

y = total amount

x = number of roses

So:

If \(x = 1, y = 2\)

If x = x.

\(y = 2* x\)

\(y = 2x\)

Solving (a): Number of roses for $24

This implies that

\(y = 24\)

So:

\(y = 2x\)

\(24 = 2x\)

Divide both sides by 2

\(12 = x\)

\(x = 12\)

Answer:

D. Cannot be determined

Step-by-step explanation:

Similarly between given triangles can not be determined because given information are insufficient.

The correct option for the given triangles is D. Cannot be determined

Any two triangles will be considered as similar as they have congruent corresponding angles and the corresponding sides are in equal ratios.

Two shapes are Similar when one can become the other after a resize, flip, slide or turn.

Given are two triangle PWR and XYZ we need to determine whether they are similar or not,

So, we only have measurement of a pair of sides and measurement of an angle,

We have some similarity rules by which we can prove two triangles to be similar, they are :-

AA rule, Side Angle Side (SAS), Side Side Side (SSS) and Right-angle Hypotenuse Side (RHS)

Since, we do not enough information to conclude our discussion.

Hence, the correct option is D. Cannot be determined

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Answer: B

Step-by-step explanation:

 In the systems of equation it already gives you the solution for x  which is -2 so all you have to do is substitute -2 into the first equation and solve for y.

y= 2/3x + 3    

x= -2

Substitute x for -2

y = \(\frac{2}{3}* \frac{-2}1} + 3\)  

y= \(\frac{-4}{3}\) + \(\frac{3}{1}\)    

y = \(\frac{5}{3}\)  

so now you have the solution like this \((-2,\frac{5}{3})\)

The probability of the sum equaling 5 is 1/9

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

Rolling two dice

When two dice are rolled, we have

Outcomes = 36

Sum of 5 = 4

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

P = Sum of 5/Outcomes

substitute the known values in the above equation, so, we have the following representation

P = 4/36

Evaluate

P = 1/9

Hence, the probability is 1/9

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Answer:

write a number of between 2 1/3 and 2 3/4

Answer:

Answer:

Step-by-step explanation:

1. By definition, two angles are complementary if their sum is 90 degrees.

2. Keeping the information shown above on mind, you can write the following expression:

3. Now you must solve for x.

4. Therefore, you obtain that the value of x is the shown below

The factored form of the polynomial is (5x^(3))(-x^(3)+3x+4).

To factor the polynomial with a negative coefficient, -5x^(6)+15x^(4)+20x^(3), we can use the content loaded factor method. This method involves factoring out the greatest common factor (GCF) of all the terms in the polynomial.

The GCF of -5x^(6), 15x^(4), and 20x^(3) is 5x^(3). So, we can factor out 5x^(3) from each term:

-5x^(6) = -(5x^(3))(x^(3))
15x^(4) = (5x^(3))(3x)
20x^(3) = (5x^(3))(4)

Now, we can rewrite the polynomial as:

-5x^(6)+15x^(4)+20x^(3) = (5x^(3))(-x^(3)+3x+4)

So, the factored form of the polynomial is (5x^(3))(-x^(3)+3x+4).

In summary, the polynomial -5x^(6)+15x^(4)+20x^(3) can be factored as (5x^(3))(-x^(3)+3x+4) using the content loaded factor method.

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Answer:

9/11

Step-by-step explanation:

Take the number correct over the total

54/66

divide the top and bottom by 6

54/6 = 9

66/6 = 11

9/11

Answer:

54/66=9/11

Hope this helps!

Answer:

2,083.3

Step-by-step explanation:

The city's population was changing by approximately 170.088 thousand persons/year between 2029 and 2037.

The population of a city can be modeled by P(t) = 170.088 thousand persons, where t is the number of years after 2000. To find out how rapidly the city's population was changing between 2029 and 2037, we need to calculate the difference in population between these two years and divide it by the number of years.

First, we need to find the population in 2029 and 2037. We can do this by plugging in the values of t into the equation:

P(29) = 170.088 * 29 = 4932.552 thousand persons

P(37) = 170.088 * 37 = 6293.256 thousand persons

Next, we need to find the difference in population between these two years:

P(37) - P(29) = 6293.256 - 4932.552 = 1360.704 thousand persons

Finally, we need to divide this difference by the number of years to find the rate of change:

1360.704 / (37 - 29) = 170.088 thousand persons/year

Therefore, the city's population was changing by approximately 170.088 thousand persons/year between 2029 and 2037.

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Multistage sampling is a probability sampling technique that involves sampling in stages or multiple steps. In this technique, a large population is divided into smaller subgroups, and then a random sample is selected from each subgroup.

Here is an example of multistage sampling:

Suppose we want to conduct a study on the prevalence of a certain disease among high school students in a particular country. The population of high school students in the country is very large, so it is not feasible to sample all of them. Instead, we can use multistage sampling to select a representative sample.

In the first stage, we randomly select a certain number of schools from different regions of the country. Let's say we select 20 schools.

In the second stage, we randomly select a certain number of classes from each of the selected schools. Let's say we select 2 classes from each of the 20 schools, resulting in a total of 40 classes.

In the third stage, we randomly select a certain number of students from each of the selected classes. Let's say we select 10 students from each of the 40 classes, resulting in a total of 400 students.

This process of selecting a sample in stages is an example of multistage sampling. By selecting schools, classes, and students in a random and systematic way, we can obtain a representative sample of high school students in the country, which can be used to estimate the prevalence of the disease.

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Answer:

The way to calculate a rectangular area is by measuring the length and width of your area then multiplying those two numbers together to get the area in feet squared (ft 2).

Step-by-step explanation:

might be the anwser ion know

Answer:

Area is length x width.

Step-by-step explanation:

Lets say you have a rectangle. The length is 7 feet and the width is 4 feet. 7 x 4 is 28. This is how you find the area.

\( \sqrt{ - 75s} \\ \\ \\ s = - 3 \\ \\ \\ \sqrt{ - 75 \times - 3 } \\ \\ \\ \sqrt{225} = 15 \: ans\)

The centre line of a control chart is calculated by computing the average (mean) of the data for every period.

In control chart analysis, the centre line represents the central tendency or average value of the process being monitored. It is typically obtained by calculating the mean of the data points collected over a specific period. The purpose of the centre line is to provide a reference point against which the process performance can be compared. Any data points falling within acceptable limits around the centre line indicate that the process is stable and under control.

The calculation of the centre line involves summing up the values of the data points and dividing it by the number of data points. This average is then plotted on the control chart as the centre line. By monitoring subsequent data points and their distance from the centre line, deviations and trends in the process can be identified. Deviations beyond the control limits may indicate special causes of variation that require investigation and corrective action. Therefore, the centre line is a critical element in control chart analysis for understanding the baseline performance of a process and detecting any shifts or changes over time.

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Answer:

38 degrees

Step-by-step explanation:

To get the answer, we need to subtract the first angle from the second angle:

84-46=38

The minute hand turned 38 degrees from its first to second position.

How to check the answer? Use inverse operations.

46+38=84

The Riemann sum L for the function f(x) = 3 - 2 on the interval (-1,2) consists of six rectangles, each with a height of 3 - 2 and varying widths. The exact value of L6 is 6, and the approximation rounded to one decimal place is 6.0.

The Riemann sum L is a method used to approximate the area under a curve by dividing the interval into subintervals and constructing rectangles with heights determined by the function. In this case, the function f(x) = 3 - 2 is a constant function with a height of 1.

To plot y = f(a), we mark the endpoints of the subintervals and draw rectangles with a height of 1. Since the function is constant, the rectangles will have the same height.

For the interval (-1,2), we divide it into six subintervals of equal width: (-1, -0.5), (-0.5, 0), (0, 0.5), (0.5, 1), (1, 1.5), and (1.5, 2). Each rectangle has a width of 0.5.

The exact value of L6 can be calculated by summing the areas of all six rectangles. Since the height is 1 and the width is 0.5 for all rectangles, each rectangle's area is 0.5 * 1 = 0.5. Therefore, the exact value of L6 is 6 * 0.5 = 6.

The rounded approximation to one decimal place is 6.0, which indicates that the total area under the curve approximated by the Riemann sum is 6 square units.

Based on the plot, we can observe that the rectangles cover the area under the curve. Since the rectangles are all below the curve, Le appears to be an underestimate for the area. This is because the rectangles do not fully capture the curve's shape and may miss some of the area enclosed by the curve.

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Answer:

The third answer is correct.

Step-by-step explanation:

You are going to translate the smaller quadrilateral (4 sided figure) to the larger quadrilateral.  Then you need the scale factor from the smaller figure to the larger.  

Side EF times the scale factor will give you side AB.  Let's call the scale factor s then our equation would be:

EF x s = AB  To find s divide both sides by EF

\(\frac{EF(s)}{EF}\) = \(\frac{AB}{EF}\)

s = \(\frac{AB}{EF}\)  This is our scale factor.

Helping in the name of Jesus.

The null and alternative hypotheses for this hypothesis test is H₀ : p = 0.93,  Hₐ : p > 0.93.

A hypothesis in a scientific context, is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

Null and alternative hypotheses are used in statistical hypothesis testing. The null hypothesis of a test always predicts no effect or no relationship between variables, while the alternative hypothesis states your research prediction of an effect or relationship.

Let 'p' be the population proportion.

Given statement : The new brand of seeds advertises that 93% of the seeds germinate, which is higher than the germination rate of the seeds she is currently using.

Since null hypothesis shows that there is no significant difference between the quantities where as alternative hypothesis believes that there is some  difference,

Hence, the null and alternative hypotheses for this hypothesis test will be :-  H₀ : p = 0.93

          Hₐ : p > 0.93

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Answer:

20%

Step-by-step explanation:

Answer:

It is 2 which represents 20,000

\(\red{\bold{Answer:}}\)

z1 Multiplied by z1 = z(1 + 1) = z2

\(\color{skyblue}{\boxed{\tt{Final\:Answer}}}\)

= (3•2³x3y2z²)

If the population density for the area is 18.8 residents per square mile, to the nearest hundred, approximately 34,000 residents would be infected.

When a virus is accidentally released from a CDC lab, and it infects everyone within a 24-mile radius from the CDC lab, then if the population density for the area is 18.8 residents per square mile, to the nearest hundred, how many people were infected.

The number of people infected within the 24-mile radius from the CDC lab is calculated as follows:

The area of a circle with a radius of 24 miles is A = πr²,

which is A = π(24²) = 1,809.56 square miles, and the population density for the area is 18.8 residents per square mile.

Therefore, the number of people infected is calculated by multiplying the area by the population density:

Residents infected = area x population density

= 1,809.56 x 18.8 ≈ 34,037.

Approximating to the nearest hundred yields 34,000.

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Therefore , the probability that she selects none of those containing errors is 0.6798.

Calculating how likely or "possible" it is for an event to occur is the subject of probability. Words like "definitely," "impossible," or "likely" may be used to communicate the likelihood that a particular event will occur. Mathematics always expresses probabilities as fractions, decimals, or percentages, with values ranging from 0 to 1.

Here,

Number of ways of selecting 3 returns out of 59 is C(59,3).

Out of 59 returns, 59-7 = 52 returns has no error so number of ways of selecting 3 returns out fo 52 is C(52,3).

The probability that she selects none of those containing errors is

P( No errors )=\(\frac{C(52,3)}{C(59,3)}\)=0.6798

Therefore , the probability that she selects none of those containing errors is 0.6798.

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20 milliliters is equal to 1.352037 tablespoons. To convert any amount of milliliters to tablespoons, simply divide the volume in milliliters by 14.7867648.

A milliliter (mL) is a unit of volume in the metric system. It is equal to one cubic centimeter (cc). One tablespoon (tbsp) is equal to 14.7867648 milliliters (mL). To convert 20mL to tablespoons, we can use the formula:

Tablespoons = milliliters ÷ 14.7867648

To calculate the number of tablespoons, we divide 20 by 14.7867648.

Tablespoons = 20 ÷ 14.7867648

Tablespoons = 1.352037

Therefore, 20 milliliters is equal to 1.352037 tablespoons. To convert any amount of milliliters to tablespoons, simply divide the volume in milliliters by 14.7867648.

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Answer:

-77

Step-by-step explanation:

-3 x 4 x 7 = -84

-84 + 7 = -77

Answer:

57

Step-by-step explanation:

edg 2021

  Expression can be used to determine the total number of jackets that were NOT sold   30 - j.

What in mathematics is a linear equation?

An algebraic equation B. y=mx+b (where m is the slope and b is the y-intercept) containing simple constants and first-order (linear) components, such as the following, is called a linear equation. The above is sometimes called a "linear equation in two variables" where x and y are variables.

                                       An equation with only one variable is called a univariate linear equation. It contains the expression Ax + B = 0. where A and B are any two real numbers and x is an ambiguous variable with only one possible value. 

A clothing store had 30 jackets.

j represents the number of jackets

Then   expression can be used to determine the total number of jackets that were NOT sold   =   30 - j

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False. Exponential smoothing with α = 0.2 and a moving average with n = 5 do not put the same weight on the actual value for the current period. Exponential smoothing and moving averages are two different forecasting techniques that use distinct weighting schemes.

Exponential smoothing uses a smoothing constant (α) to assign weights to past observations. With an α of 0.2, the weight of the current period's actual value is 20%, while the remaining 80% is distributed exponentially among previous values. As a result, the influence of older data decreases as we go further back in time.On the other hand, a moving average with n = 5 calculates the forecast by averaging the previous 5 periods' actual values. In this case, each of these 5 values receives an equal weight of 1/5 or 20%. Unlike exponential smoothing, the moving average method does not use a smoothing constant and does not exponentially decrease the weight of older data points.In summary, while both methods involve weighting schemes, exponential smoothing with α = 0.2 and a moving average with n = 5 do not put the same weight on the actual value for the current period. This statement is false.

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Answer:

-15

Step-by-step explanation:

Answer:

On -15.

Step-by-step explanation:

So, the common difference seems to be 5.

Therefore, the point before -5 will be -10 and the point before -10 is -15.