How many
boards 6 in. long canbe cut from a board 2 ft. long

Answer:

$18 less than the cost of 5 hot dog combos

Step-by-step explanation:

First, we see from the minus sign that this will be subtraction.  PEMDAS (order of operations) says we do the multiplication first, then the subtraction.

Answer:

28

Step-by-step explanation:

if (AB and DC) parallels lines than the equation is alternate interior and therefore congruent to each other

Answer:

the probability that it is a jack is 4/52 or 1/13 and the probability that it is a red card is 26/52 or 1/2. the probability that it is a red jack is 2/52 or 1/26

Step-by-step explanation:

                                                                                                                                                                                                                                                                          I understand that you may be struggling with understanding how to evaluate a square root expression with a negative number under the square root. Let me explain it further:

A square root is a mathematical operation that returns the value of a number that, when multiplied by itself, equals the original number. For example, √4 = 2 because 2*2 = 4. However, when you try to take the square root of a negative number, it is not possible to get a real number. Therefore, the square root of a negative number is represented by the imaginary number "i" which is defined as the square root of -1. So, √(-98x5) = √(98x5)i

Please let me know if there's anything else I can help you with.

im tired right now but i can tell you a way to find the answer

the number you need the equation to equate to is 41

run 6×x-19, replacing 'x' with various numbers until it equates to 41

hope this helps

The correct answers are, C and D

Answer:

First piece = a = 5 inches

Second piece = b = 10 inches

Third piece = c = 37 inches

Step-by-step explanation:

Let us represent:

First piece = a

Second piece = b

Third piece = c

52-inch piece of steel is cut into three pieces.

a + b + c = 52 inches

The second piece is twice as long as the first piece

= b = 2a

The third piece is two inches more than seven times the length of the first piece.

= c = 2 + 7(a)

Find the lengths of the pieces. The lengths of the first, the second, and the third pieces are in, in, and in respectively.

a + b + c = 52 inches

Substitute 2a for b

2 + 7a for c

a + 2a + 2 + 7a = 52

Collect like terms

10a = 52 - 2

10a = 50

a = 50/10

a = 5 inches.

b = 2a

b = (2 × 5)

b = 10 inches

c = 2 + 7a

= 2 + 7(5)

= 2 + 35

= 37 inches

Answer:

x greater than equal -1

Step-by-step explanation:

-1/2x-3 greater than equal -2.5

-1/2x greater than equal 3-2.5

-1/2x greater than equal 0.5

(-2) -1/2x greater than equal (-2) 0.5

x greater than equal -1

The reciprocal relationship of the graph is graph (a)

The reciprocal relationship implies that:

The x and the y axes are swapped.

When the x and the y axes are swapped, the value on both axes swap their positions

For the given graph, the reciprocal relationship is graph (a)

This is shown in the attached graph

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Answer:

Step-by-step explanation:

Given,

Measure of a two-story building (in feet)

= 21 feet

So, Measure of the building in (in inches)

= 3 inches

Therefore,

By the problem,

21 feet building

= 3 inches

So,

1 feet building

\( = \frac{3}{21} inches\)

Then,

84 feet building

\( = \frac{3}{21} \times 84 \: inches\)

= 3 × 4 inches

= 12 inches

Hence,

84 feet building will measure 12 inches (Ans)

Answer:

i believe it’s 7.9 miles

Step-by-step explanation:

if there’s no specific location of the house then 7.9 must be the answer

Answer/explanation:

a. The total float for the month can be calculated as follows:The delay for the larger check is 4 days, and the delay for the smaller check is 5 days, therefore the float is 4 + 5 = 9 days.The total float for the month is $14,400 ($11,000 + $3,400).Thus, the total float for the month is $14,400 for a period of 9 days.

b. The average daily float can be calculated as follows:Average daily float = Total float / Number of days in the periodAverage daily float = $14,400 / 30 daysAverage daily float = $480

Therefore, the average daily float is $480.

c-1. The average daily receipts can be calculated as follows:The total receipts for the month are $14,400, so the average daily receipts are:Average daily receipts = Total receipts / Number of days in the periodAverage daily receipts = $14,400 / 30 daysAverage daily receipts = $480

Therefore, the average daily receipts are $480.

c-2. The weighted average delay can be calculated as follows:Weighted average delay = (Delay for larger check * Amount of larger check + Delay for smaller check * Amount of smaller check) / Total amountWeighted average delay = (4 days * $11,000 + 5 days * $3,400) / $14,400Weighted average delay = $77,600 / $14,400Weighted average delay = 5.39 days (rounded to two decimal places)

Therefore, the weighted average delay is 5.39 days.

To determine how long it takes approximately 9.154 weeks  for 80% of the population to become infected in the given model, by setting up a proportion based on the rate of spread.  

Let "t" represent the number of weeks it takes for 80% of the population to become infected.

According to the model, the rate of spread is jointly proportional to the number of infected people and the number of uninfected people. In this case, at the beginning of the week, 160 people are infected, and at the end of the week, 1,200 people are infected.

Therefore, the ratio of the number of infected people at the end of the week to the number at the beginning of the week is 1,200/160 = 7.5.

Since the rate of spread is jointly proportional to the number of infected and uninfected people, the ratio of the number of uninfected people at the end of the week to the number at the beginning of the week should be the reciprocal of 7.5, which is 1/7.5 = 0.1333.

Now, let's set up the proportion: (0.1333)^(t weeks) = 0.2 (80% of the population). To solve for "t," we can take the logarithm of both sides: log(0.1333)^(t weeks) = log(0.2)

Using the logarithmic property, we can bring down the exponent: (t weeks) * log(0.1333) = log(0.2). Now, divide both sides by log(0.1333) to isolate "t": t weeks = log(0.2) / log(0.1333)

Calculating this expression, we find: t ≈ 9.154 weeks (rounded to three decimal places). Therefore, it takes approximately 9.154 weeks for 80% of the population to become infected according to the given model.

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The probability that it takes from 2 to 3 minutes to fill an order is approximately 0.2562 or 25.62%.

Given that the time it takes for orders to be filled is exponentially distributed with a mean of 1.5 minutes.

We know that the probability density function (PDF) of exponential distribution is given by:

f(x) = (1/β) * e^(-x/β)

where β is the mean of the distribution.

Therefore, in this case, the PDF is:

f(x) = (1/1.5) * e^(-x/1.5)

To find the probability that it takes from 2 to 3 minutes to fill an order, we need to calculate the area under the PDF curve between 2 and 3 minutes.

P(2 < x < 3) = ∫2^3 f(x) dx

= ∫2^3 (1/1.5) * e^(-x/1.5) dx

= [-e^(-x/1.5)]2^3

= e^(-2/1.5) - e^(-3/1.5)

= 0.2562

Therefore, the probability that it takes from 2 to 3 minutes to fill an order is approximately 0.2562 or 25.62%.

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The probability that exactly 18 of the 25 smartphones selected are purchased with warranty is:  The probability that exactly 8 of the 25 smartphones selected are not purchased with warranty is: The probability that all 25 smartphones selected are purchased with warranty is:  

The probability that at most 15 of the 25 smartphones selected are purchased with warranty is: The probability that at least 14 of the 25 smartphones selected are purchased with warranty is: f) The probability that more than half (i.e. > 12) of the 25 smartphones selected are purchased with warranty is: 9) The probability that at least 14 but no more than 23 of the 25 smartphones selected are purchased with warranty is:

h) The probability that less than 12 or more than 19 of the 25 smartphones selected are purchased with warranty is: Part 2Mean = Standard Deviation =  Part 3To find the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty, we use the following formula: N = [(Z * σ) / E]^2 where Z is the z-score corresponding to the desired level of confidence, σ is the standard deviation, and E is the maximum error of estimation. Using a 95% level of confidence, Z = 1.96.Using the calculated standard deviation of 2.91 and expecting to find exactly 72 smartphones, the maximum error of estimation is 0.5.N = [(1.96 * 2.91) / 0.5]^2N

= 337.11

Therefore, the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty is 338.

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The answer is (d) 6 variables, 1 of which is categorical.

The given data set consists of 6 variables, indicating that there are six distinct pieces of information being recorded or measured. Among these variables, only one is categorized as categorical. Categorical variables are qualitative in nature and represent characteristics or categories rather than numerical values. Examples of categorical variables include gender, color, type, or any other non-numeric attribute.

By deductive reasoning, since there is only one categorical variable in the dataset, the remaining five variables are likely to be quantitative. Quantitative variables are numerical and represent measurable quantities, such as age, weight, temperature, or time.

Identifying the number of categorical variables in a dataset is crucial for understanding the nature of the information being collected. In this case, we can confidently conclude that the data set contains 6 variables, with 1 of them being categorical, while the other 5 variables are likely to be quantitative.

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By setting up two equations representing the cost of a Bush Rose and Mini Rose, we solve for the cost of a Mini Rose, finding it to be $3, while a Bush Rose costs $5.

a) The problem can be represented using two equations:

Cost equation: B = M + 2

This equation states that the cost of a Bush Rose (B) is $2 more than the cost of a Mini Rose (M).

Total cost equation: 3B + 5M = 30

This equation represents the total cost of purchasing 3 Bush Roses and 5 Mini Roses, which is $30.

In these equations, we define the variables:

B: Cost of a Bush Rose.

M: Cost of a Mini Rose.

b) To determine the cost of each Mini Rose, we need to solve the equations and find the values of B and M. Let's substitute the value of B from the first equation into the second equation:

3(M + 2) + 5M = 30

3M + 6 + 5M = 30

8M + 6 = 30

8M = 24

M = 3

Now, we can substitute the value of M back into the first equation to find the cost of a Bush Rose:

B = M + 2

B = 3 + 2

B = 5

Therefore, the cost of each Mini Rose is $3, and the cost of each Bush Rose is $5.

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Answer:

(-2,5)

Step-by-step explanation:

Answer:

Axis of symmetry: x = 0.5; Vertex: (0.5, –0.75); f(x) = –x2 + x – 1

Step-by-step explanation:

The answer is A because the axis of symmetry is in between 0 and 1, the vertex lies on 0.5 and -0.75, and the parabola opens down so the coefficient of a is -1, and the y-int or the value of c is -1

The vertex of the function is  axis of symmetry is  and the formula for the function is  Option (a) is correct.

Further Explanation:

Given:

Calculation:

The standard form of the parabola is shown below.

Here, the parabola has vertex at  and has the symmetry parallel to x-axis and it opens left.

The general form of the parabola can be expressed as follows,

The graph is a downward parabola.

From the graph it has been observed that the vertex of the parabola is

Symmetry of the graph is  

The -intercepts of the graph is  Therefore, the value of is  

The value of  is -1 as the graph is a downward parabola.

The vertex of the function is  axis of symmetry is  and the formula for the function is  Option (a) is correct.

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2. Learn more about non-collinear brainly.com/question/4165000

3. Learn more aboutbinomial and trinomial brainly.com/question/1394854

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Conic sections

Keywords: vertex, symmetry, symmetric, axis, y-axis, x-axis, function, graph, parabola, focus, vertical parabola, upward parabola, downward parabola.

In a net of a solid, the number of faces meeting at each vertex can be determined by examining the net and counting the number of lines that meet at each vertex. Each line corresponds to an edge of a face, so the number of lines meeting at a vertex is equal to the number of faces meeting at that vertex.

For example, if we consider a cube net, we can see that three faces meet at each vertex. Therefore, a cube has three faces meeting at each vertex.

Similarly, for other solids, we can count the number of faces meeting at each vertex by examining the net. For example, for a regular tetrahedron, four faces meet at each vertex; for a regular octahedron, four faces meet at each vertex; for a regular dodecahedron, three faces meet at each vertex; and for a regular icosahedron, five faces meet at each vertex.

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The approximate distance between Padma and the bear is 21.2 ft, which corresponds to option A.

The approximate distance between Padma and the bear, we can use trigonometry. Since James and Padma are on opposite sides of the 100-ft-wide canyon,

we can form two right triangles with the bear's position as one of the vertices.

Step 1: Determine the horizontal distance from James to the bear.

Since the angle of depression from James to the bear is 45 degrees, the horizontal distance (x) and vertical distance (y) are equal due to the properties of a 45-45-90 right triangle. Therefore, x = y. Since the canyon is 100 ft wide, x + y = 100 ft. We can solve for x:

x + x = 100

2x = 100

x = 50 ft

Step 2: Determine the vertical distance from James to the bear.
Since x = y in the 45-45-90 right triangle, the vertical distance from James to the bear is also 50 ft.

Step 3: Determine the horizontal distance from Padma to the bear.
We can now use Padma's angle of depression, 65 degrees, to find the horizontal distance (p) from Padma to the bear. Using the tangent function:

tan(65) = vertical distance / horizontal distance

tan(65) = 50 ft / p

Solving for p:

p = 50 ft / tan(65) ≈ 21.2 ft

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Answer:

The answer should be C.

Answer:

No way these lengths can be the sides of a right triangle

Step-by-step explanation:

Use the Pythagorean theorem

\(2^{2} + 2^{2} \neq 5^{2} \\4 + 4 \neq 25\)

No way these lengths can be the sides of a right triangle

Answer:

when h(x) = 0, x = 7/3

Step-by-step explanation:

0 = 3x - 7

7 = 3x

7/3 = x

Answer:

5.25 centimeters

Step-by-step explanation:

Simply put, each stitch is 1/8 of a centimeter long.

42 stitches would be 1/8 * 42 centimeters long.

Multiply that and we get 5.25 centimeters.

Simple random sampling is a sort of possibility sampling in which the researcher randomly selects a subset of members from a populace.

Each member of the populace has an same hazard of being decided on. data is then accumulated from as big a percent as feasible of this random subset.Taking a easy random sample from every of a number of subgroups as an instance, decrease-income catholics, middle-earnings protestants.

An example of a simple random pattern will be the names of personnel being chosen out of a hat from a agency of employees. In this case, the populace is all personnel, and the pattern is random due to the fact each employee has an same risk of being chosen.

Random sampling is a part of the sampling technique in which each pattern has an identical chance of being chosen. A pattern selected randomly is meant to be an unbiased illustration of the whole populace.

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Given equation is 2x ≡ 5 (mod 7).We have to find the value of x.The given equation can be written as2x = 7q + 5 ...(1)where q is an integer.

Now let’s check if 2x = 7q + 5 is possible for any value of x.For x = 1, 2x = 4 (mod 7)For x = 2, 2x = 1 (mod 7)For x = 3, 2x = 6 (mod 7)For x = 4, 2x = 3 (mod 7)For x = 5, 2x = 5 (mod 7)For x = 6, 2x = 2 (mod 7)Therefore, the equation 2x = 7q + 5 is only possible for x = 5.Now, put x = 5 in equation (1)2x = 7q + 5 ⇒ 2(5) = 7q + 5 ⇒ q = 3Therefore, x = 5 + 7(3) = 26.

In this question, we were required to solve the equation 2x ≡ 5 (mod 7) and find the value of x. The given equation can be written as 2x = 7q + 5, where q is an integer. We checked the equation for all possible values of x and found that the equation is only possible for x = 5.

Putting this value of x in equation (1), we solved for q and obtained q = 3. Therefore, x = 5 + 7(3) = 26.

To solve the equation 2x ≡ 5 (mod 7), we first need to write it in the form 2x = 7q + 5, where q is an integer. Then we need to check if this equation is possible for any value of x. To do this, we can substitute different values of x in the equation and check if we get an integer value for q.

If we do, then that value of x is a solution to the equation. If not, then there is no solution to the equation.In this case, we checked the equation for x = 1 to x = 6 and found that only x = 5 is a solution. We then substituted this value of x in the equation and solved for q. We got q = 3, which means that the general solution to the equation is x = 5 + 7q, where q is an integer. Therefore, the solutions to the equation are x = 5, 12, 19, 26, ... and so on.

The equation 2x ≡ 5 (mod 7) has a unique solution, which is x = 26. We found this solution by writing the equation in the form 2x = 7q + 5, checking the equation for different values of x, and solving for q when we found a solution. We also noted that the general solution to the equation is x = 5 + 7q, where q is an integer.

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Answer:

is a. D.

Step-by-step explanation:

I hope you serve my answer and goodluck ^^

Answer:

7/4 > 3/4

4/10 < 7/10

2/5 = 4/10

9/10 < 11/10

11/5 > 2/5

6/12 > 1/4 ​

Answer:

3^5/2 is 15.5885.

Step-by-step explanation:

This is plug in math! I'd recommend to get a Ti-84 (makes math like this so much easier)

Answer:

  243 square inches

Step-by-step explanation:

The area is the square of the side length:

  A = s^2

  A = (3^(5/2))^2 = 3^(5/2*2) = 3^5 = 243

The area of the square is 243 square inches.

_____

The relevant rule of exponents is ...

  (a^b)^c = a^(bc)