Square A is a Dilation of Square B. What is thescale factor of the squares? (remember to donew/old)A.) 7B.) 4/5C.) 1/7D.) 5/4

Answer:

The number is 8

Step-by-step explanation:

You subtract 2.5 from 58.5 which would be 56 and divided that by 7 which would give you he number 8.

The distance I would travel in one turn of the big wheel is  163.43 inches.

The distance I would travel in one turn is equal to the circumference of the wheel. The circumference of a circle is the distance round the circle. It is the perimeter of the circle.

The circumference of a circle = πD

22/7 x 52 = 163.43 inches

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The probability that a combined sample from six public swimming areas will reveal the presence of E. coli bacteria is: P(X >= 1) = P(X = 1) + P(X = 2) + P(X = 3) = 0.113 + 0.016 + 0.001 = 0.13 or 13% (rounded to two decimal places).

To find the probability that a combined sample from six public swimming areas will reveal the presence of E. coli bacteria, we can use the binomial distribution formula. Let X be the number of public swimming areas out of six that reveal the presence of E. coli bacteria. Since each swimming area is either contaminated or not contaminated, we have a binomial distribution with n = 6 and p = 0.02 (the probability of finding E. coli bacteria in a public swimming area).

The probability of X = 1 is:

P(X = 1) = (6 choose 1) * (0.02)^1 * (0.98)^5 = 0.113

The probability of X = 2 is:

P(X = 2) = (6 choose 2) * (0.02)^2 * (0.98)^4 = 0.016

The probability of X = 3 is:

P(X = 3) = (6 choose 3) * (0.02)^3 * (0.98)^3 = 0.001

The probability of X = 4, 5, or 6 is negligible since the probability of finding E. coli bacteria in a public swimming area is low.

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Answer:

the third one...............

Answer:

the answer to your question is y = two-fifths x minus 1

Step-by-step explanation:

hope it helps

There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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The center of the circle, and consequently the central point of the resort's swimming pool, is located at the intersection of the two legs of the right triangle, approximately 60 feet from one vertex and 120 feet from the other.

The upscale resort has ingeniously designed its circular swimming pool to encompass a central area containing a restaurant. This central area takes the form of a right triangle with legs measuring 60 feet and 120 feet, while the hypotenuse, the longest side of the triangle, spans approximately 103.92 feet. The vertices of the triangle neatly coincide with points on the circumference of the circular pool.

Due to the properties of a right triangle, the hypotenuse is also the diameter of the circle. This means that the circular pool is precisely constructed around the right triangle, with its center located at the midpoint of the hypotenuse.

To determine the exact coordinates of the center of the circle, we can consider the properties of right triangles. Since the legs of the right triangle are perpendicular to each other, the midpoint of the hypotenuse coincides with the point where the two legs intersect.

In this case, the center of the circle is the point of intersection between the 60-foot leg and the 120-foot leg of the right triangle.

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The area to the right of the z-score 0.0833 is approximately 0.4671

To calculate the proportion of women with hypertension (diastolic blood pressure greater than 90 mmHg), we can use the standard normal distribution.

Given:

Mean (μ) = 80.2 mmHg

Standard deviation (σ) = 9.6 mmHg

We need to calculate the z-score for the threshold value of 90 mmHg, and then find the area under the standard normal curve beyond that z-score.

The z-score formula is:

z = (x - μ) / σ

Plugging in the values:

z = (90 - 80.2) / 9.6

z = 0.8 / 9.6

z ≈ 0.0833

Using a standard normal distribution table or a calculator, we can find the area to the right of this z-score, which represents the proportion of women with diastolic blood pressure greater than 90 mmHg.

The area to the right of the z-score 0.0833 is approximately 0.4671.

Therefore, approximately 0.4671 (or 46.71%) of women have hypertension (diastolic blood pressure greater than 90 mmHg).

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The percent of the field goals did Samuel make will be 77.5%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

Samuel made 31 out of 40 field goals during football practice. The percent of the field goals did Samuel make will be:

= 31 / 40 × 100

= 77.5%

The percentage is 77.5%.

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Answer: \(g= \frac{5}{3} s\)

Step-by-step explanation:

\(3g=5s\\g=\frac{3}{5}s\)

Answer:

Correct option: A -> AA postulate

Step-by-step explanation:

In the figure we can see that in triangle ABC we have:

A = 53°

B = 72°

And we can see in the triangle LMN that:

L = 53°

M = 72°

We have two pairs of angles (A - L  and B - M) that are congruent, and therefore we can use the case AA (angle-angle) to affirm that these triangles are similar.

So the correct option is A: AA postulate.

Answer:

180

Step-by-step explanation:

5 time 6 times 6 is 180

Hi there!

\(\large\boxed{x = 2.5}\)

y = x² - 5x - 6

Rewrite into factored form by finding two numbers that sum up to -5 and multiply into -6. We can use the numbers -6 and 1:

y = (x - 6)(x + 1) is the equation in factored form.

There are zeroes at:

0 = x - 6

x = 6

0 = x + 1

x = -1

Find the x-value exactly half-way between the two zeroes to find the axis of symmetry:

(-1 + 6) / 2 = 5 / 2 = 2.5

Therefore, the equation for the line of symmetry is:

x = 2.5

Answer:  5/log (8) - 8/3

Step-by-step explanation:

Answer:

A:2^5=3x + 8 /x=8/The next part is B.x3=64 /x=4

Step-by-step explanation:

I just did it hope this helps

Answer:

(4×4×4)(3×3×3)(1×1×1) Cubic feet

2.5%.

The mean score for the class is 79% (76% + 82%) / 2 = 79%. The standard deviation of the test scores for the entire class is 2.5% (82% - 76%) / √2 = 2.5%.

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(a) Let "X" be the random variable that represents the time in minutes required to assemble the product.

(b) The random variable may assume the values in the interval (0, ∞).

(c) The random variable "X" is continuous in nature.

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Answer:

x = \(\frac{16}{3}\)

Step-by-step explanation:

Since the triangles are similar then the corresponding sides are congruent.

EF and BC are corresponding sides , then

8x - 3 = 5x + 13 ( subtract 5x from both sides )

3x - 3 = 13 ( add 3 to both sides )

3x = 16 ( divide both sides by 3 )

x = \(\frac{16}{3}\)

All second derivatives are negative, all critical values are maxima. Therefore, the firm should produce 12 units in market 1, 9 units in market 2, and 3 units in market 3 to maximize its profit.

The optimization problem that the firm wants to solve is to maximize its profit, given by:

π = P₁Q₁ + P₂Q₂ + P₃Q₃ - (20+15Q₁+15Q₂+15Q₃)

subject to the constraints:

Q = Q₁ + Q₂ + Q₃

where π is the total profit, Pᵢ is the price in market i, and Q is the total quantity produced.

To find the first-order conditions, we need to take the partial derivative of the profit function with respect to each of the three variables Q₁, Q₂, and Q₃, and set them equal to zero:

∂π/∂Q₁ = P₁ - 15 = 0

∂π/∂Q₂ = P₂ - 15 = 0

∂π/∂Q₃ = P₃ - 15 = 0

These are the first-order conditions.

From the first-order conditions, we can see that the optimal quantities in each market are given by:

Q₁ = (63-15)/4 = 12

Q₂ = (105-15)/10 = 9

Q₃ = (75-15)/18 = 3

These are the critical values.

To check the second-order condition, we need to compute the second derivatives of the profit function with respect to the variables Q₁, Q₂, and Q₃, and evaluate them at the critical values. If the second derivatives are negative, then the critical values are maxima, and if they are positive, then the critical values are minima.

The second derivatives are:

∂²π/∂Q₁² = -4, ∂²π/∂Q₁∂Q₂ = 0, ∂²π/∂Q₁∂Q₃ = 0

∂²π/∂Q₂∂Q₁ = 0, ∂²π/∂Q₂² = -10, ∂²π/∂Q₂∂Q₃ = 0

∂²π/∂Q₃∂Q₁ = 0, ∂²π/∂Q₃∂Q₂ = 0, ∂²π/∂Q₃² = -18

Evaluating these at the critical values gives:

∂²π/∂Q₁² = -4 < 0

∂²π/∂Q₂² = -10 < 0

∂²π/∂Q₃² = -18 < 0

Since all second derivatives are negative, all critical values are maxima. Therefore, the firm should produce 12 units in market 1, 9 units in market 2, and 3 units in market 3 to maximize its profit.

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Survey results may be impacted by response bias, sampling bias, question bias, mode of administration, and data collection method.

What is factor ?

A factor is a quantity or element that contributes to a particular result or outcome.

There are several factors that may have contributed to the different results of the two surveys:

Response Bias: The online survey may have attracted participants who are more tech-savvy and have a different perspective than those who are less comfortable with technology. On the other hand, the telephone survey may have attracted participants who are older or less mobile, and have a different perspective than those who prefer online communication.

Sampling Bias: The online survey may not have been representative of the entire population, as it was conducted on a specific website and only attracted those who use that website. Similarly, the telephone survey may have only reached those who answered the phone and were willing to participate.

Question Bias: The questions asked in the online survey may have been different from those asked in the telephone survey, leading to different results. The questions may have been worded in a way that biased the responses, either consciously or unconsciously.

Mode of Administration: The mode of administration, or the method of conducting the survey, may have influenced the responses. Online surveys allow participants to respond at their own pace and in their own environment, while telephone surveys may put pressure on participants to respond quickly and may not allow them to think through their responses.

Data Collection Method: The data collection method, such as self-reported data, may have influenced the results. Self-reported data may not always be accurate, as participants may not remember details accurately or may be unwilling to report certain information.

Survey results may be impacted by response bias, sampling bias, question bias, mode of administration, and data collection method.

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Survey results may be impacted by response bias, sampling bias, question bias, mode of administration, and data collection method.

A factor is a quantity or element that contributes to a particular result or outcome.

There are several factors that may have contributed to the different results of the two surveys:

Response Bias: The online survey may have attracted participants who are more tech-savvy and have a different perspective than those who are less comfortable with technology. On the other hand, the telephone survey may have attracted participants who are older or less mobile, and have a different perspective than those who prefer online communication.

Sampling Bias: The online survey may not have been representative of the entire population, as it was conducted on a specific website and only attracted those who use that website. Similarly, the telephone survey may have only reached those who answered the phone and were willing to participate.

Question Bias: The questions asked in the online survey may have been different from those asked in the telephone survey, leading to different results. The questions may have been worded in a way that biased the responses, either consciously or unconsciously.

Mode of Administration: The mode of administration, or the method of conducting the survey, may have influenced the responses. Online surveys allow participants to respond at their own pace and in their own environment, while telephone surveys may put pressure on participants to respond quickly and may not allow them to think through their responses.

Data Collection Method: The data collection method, such as self-reported data, may have influenced the results. Self-reported data may not always be accurate, as participants may not remember details accurately or may be unwilling to report certain information.

Survey results may be impacted by response bias, sampling bias, question bias, mode of administration, and data collection method.

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The range of lengths for the third piece is 3ft to 11ft.

We have to consider triangle inequality theorem which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Possible range of lengths for the third piece of lumber can be calculated as follows.

The length would be:

= |4ft - 7ft|

= 3ft.

The longest length of the third piece would be the sum of the lengths of the two given pieces of lumber. So, the length would be:

= 4ft + 7ft

= 11ft.

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Answer:

An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero

Answer:

Equation: 4(2.5x-3)=3(2x-2) // x=1.5 // Perimeter: 3

Step-by-step explanation:

Perimeter of square: 4s

Perimeter of triangle: 3s

Square: 4(2.5x-3)

Triangle: 3(2x-2)

Set them equal:

4(2.5x-3)=3(2x-2)

Distribute

10x-12=6x-6

Move variables to one side and numbers to the other.

Subtract 6x from both sides.

10x-6x-12=6x-6x-6

4x-12=-6

Add 12 to both sides.

4x-12+12=-6+12

4x=6

Divide both sides by 4.

x=1.5

Plug that into one of the original expressions to find perimeter.

3(2x-2)

3[2(1.5)-2]

3[3-2]

3(1)

3

The perimeter is 3 units.

Answer:

1.8 inches

Step-by-step explanation:

1. find the # of inches that represents 1 foot.

3/25 = 0.12in

2. to find the length of the line segment that represents 15 feet, multiply 0.12 inches by 15.

0.12*15 = 1.8in

Answer:

Step-by-step explanation:

When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.

Answer:

12 meters

Step-by-step explanation:

The length of the volleyball net is "L"

   6  + 1/2 L   = L    <======this is given , solve for L

    6 = 1/2 L

     L = 12 Meters

Answer:

  B.  relation only

Step-by-step explanation:

You want to have a description of the equation y² = x.

Any equation that represents a map between one or more input values and one or more output values can be called a "relation." The given equation maps x to two different output values for x > 0.

The equation can be described as a relation.

A function is a relation that maps any given input value to exactly one output value. This relation maps most input values to two output values, so cannot be described as a function. (It fails the "vertical line test", which requires a vertical line intersect a function graph in one place at most.)

Answer:

35 miles per hour.

Step-by-step explanation:

140÷4=35

!75÷5=35

210÷6=35

Answer:

❌23 miles per hour

✅35 miles per hour

❌42 miles per hour

❌53 miles per hour

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