Will any ramp with one angle of 4. 8 degrees have a slope ratio of 1 : 12?

Answer:

5/1

Step-by-step explanation:

Answer:

5/1

Step-by-step explanation:

The statement provides two quantities, A and B, expressed as ratios of positive integers c and d. The relationship between the quantities A and B cannot be determined from the information given.

The statement provides two quantities, A and B, expressed as ratios of positive integers c and d. However, no specific values or constraints are given for c and d. Without knowing the specific values or any relationship between c and d, it is impossible to determine the relationship between A and B.

The relative magnitudes of A and B will depend on the values of c and d. If the value of c is greater than d, then A would be greater than B. Conversely, if the value of d is greater than c, then B would be greater than A. However, without any information about the values of c and d or any relationship between them, we cannot determine the relationship between A and B.

Therefore, based on the given information, the relationship between quantities A and B cannot be determined.

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In perimeter, The cost to frame Joy's math certificate in a fancy frame is $138.00.

The dimensions of Joy's math certificate are 10 inches tall and 13 inches wide.

Joy wants to frame it in a fancy frame that costs $3.00 per inch.

To determine the total cost of framing the certificate, we need to find its perimeter and then multiply that by the cost per inch.

The perimeter of the certificate is:

Perimeter = 2 × (height + width)

Substituting the given values, we get:

Perimeter = 2 × (10 + 13)Perimeter = 46 inches

Therefore, the total cost of framing Joy's math certificate is:

Total cost = Perimeter × Cost per inch

Total cost = 46 × 3.00Total cost = $138.00

Thus, the cost to frame Joy's math certificate in a fancy frame is $138.00.

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The correlation coefficient that represents the strongest relationship between two variables is -0.75.

In correlation coefficients, the absolute value indicates the strength of the relationship between variables. The strength of the association increases with the absolute value's proximity to 1.

The maximum absolute value in this instance is -0.75, which denotes a significant negative correlation. The relevance of the reverse correlation value of -0.75 is demonstrated by the noteworthy unfavorable correlation between the two variables.

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Answer:

I think A.

not 100% sure

Step-by-step explanation:

Three students is part of her sample is students 1, 10, and 20.

We have given that,

Karen created a sample of 20 students from a population of 100 in the following way.

First, she gave each student a unique number from 1 to 100. She then obtained a list of 20 randomly generated numbers between 1 and 100.

She used these numbers to identify which students to select. Here is the list of random numbers.

We have to determine the three students are part of her sample.

A sample space is a collection or a set of possible outcomes of a random experiment. The sample space is represented using the symbol S.

Therefore option A is correct.

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The area of the rose garden is 129 sq. ft.

Consider the following diagram.

The dimensions of the rectangular garden:

length = 15 ft and width = 9 ft

Using the formula for the area of rectangle,

The area of the rectanguler garden would be,

A₁ = 15 × 9

A₁ = 135 ft²

In the center of the garden, she puts a smaller rectangular patch of grass. And the dimensions of the grass is 2 feet by 3 feet.

The area of rectangular patch is:

A₂ = 2 × 3

A₂ = 6 ft²

So, the area of the rose garden would be,

A = A₁ - A₂

A = 135 - 6

A = 129 ft²

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Find the complete question below.

Step-by-step explanation:

There are 6 possible rolls

  4 5 6   are greater than 3

   1  and 3   are odd rolls to include in the count

     so 5 rolls out of 6  =   5/6

Pythagorean theorem is applied to the right-angled triangle. The length of the two legs of the triangle is 9√2 cm.

Pythagorean theorem helps us to find the hypotenuse of a right-angled triangle with the help of the other two sides of the triangle.

Hypotenuse² = Perpendicular² + Base²

Given to us

A right-angle triangle with angles, 45°- 45°- 90°

Length of the hypotenuse of the triangle, h = 18 cm

As in the given triangle, two of the angles are of equal measure, therefore, the triangle's two legs are of equal length, while the length of the hypotenuse is 18 cm.

AB = AC

Using the Pythagorean theorem,

BC² = AB² + AC²

18² = AB² + AB²

18² = 2 AB²

162 = AB²

AB = 9√2

Hence, the length of the two legs of the triangle is 9√2 cm.

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The probability P(X=2, Y+Z ≤ 3) is 13. Random variables are variables in probability theory that represent the outcomes of a random experiment or event.

To find the probability P(X=2, Y+Z ≤ 3), we need to sum up the joint probabilities of all possible combinations of X=2, Y, and Z that satisfy the condition Y+Z ≤ 3.

Step 1: List all the possible combinations of X=2, Y, and Z that satisfy Y+Z ≤ 3:

X=2, Y=1, Z=1

X=2, Y=1, Z=2

X=2, Y=2, Z=1

Step 2: Calculate the joint probability for each combination:

For X=2, Y=1, Z=1:

f(2, 1, 1) = (2+1) * 1 = 3

For X=2, Y=1, Z=2:

f(2, 1, 2) = (2+1) * 2 = 6

For X=2, Y=2, Z=1:

f(2, 2, 1) = (2+2) * 1 = 4

Step 3: Sum up the joint probabilities:

P(X=2, Y+Z ≤ 3) = f(2, 1, 1) + f(2, 1, 2) + f(2, 2, 1) = 3 + 6 + 4 = 13

They assign numerical values to the possible outcomes of an experiment, allowing us to analyze and quantify the probabilities associated with different outcomes.

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Answer:

x=15 and y=-9

Step-by-step explanation:

Answer:

All four options are correct.

Step-by-step explanation:

Option 1

m∠DPQ = m∠FQB = 90° [Corresponding angles theorem]

By the converse property of corresponding angles theorem,

CD║EF

Since, angle between AB and CD is 90°,

AB⊥CD

True

Option 2

Since, angles between AB and EF is 90°, both will be perpendicular.

AB ⊥ EF

AB ⊥ CD

True

Option 3

CD║EF and AB ⊥ EF

True

Option 4

CD║EF, AB ⊥ CD and AB ⊥ EF

True

Therefore, all options are correct.

Answer:

\(c. \: 5x - 2y = 10 \\ \: \: \: \: \: 10x - 4y = 20 \\ \)

The only option that represents the correct repeating decimal is; Option C; 0.35 + 0.0035 + 0.000035

We want to find the option that is equal to the repeating decimal 0.353535.

Option A; 35 + 0.35 + 0.0035

When we add the above, we arrive at 35.3535 which is not equal to 0.353535. Thus, option A is incorrect.

Option B; 0.0035+ 0.000035 + 0.00000035

When we add the above, we arrive at 0.00353535 which is not equal to 0.353535. Thus, option B is incorrect.

Option C; 0.35 + 0.0035 + 0.000035

When we add the above, we arrive at 0.353535 which is not equal to 0.353535. Thus, option C is correct.

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Answer:

1.) C - 0.35+0.0035+0.000035+...

2.) The first term of the geometric series is 0.35.

3.) The common ratio of the geometric series is 0.01

4.) The simplified fractional representation of 0.353535... is 35 / 99

Step-by-step explanation:

Edge

The Z-score for Boris is 1.627, and the Z-score value for the Callie is 1.267, Boris scored higher relatively.

The Z test is a parametric procedure that is used on data that is dispersed in a normal fashion. For testing hypotheses, the z test can be used on one sample, two samples, or proportions. When the population variance is known, it analyzes if the means of two big groups are dissimilar.

We know the formula for the Z-test:

\(\rm Z = \dfrac{X-\mu}{\sigma}\)

(a) For Boris:

\(\rm Z = \dfrac{67-60}{4.3}\)

Z = 1.627

(b) For Callie:

\(\rm Z = \dfrac{119-110}{7.1}\)

Z = 1.267

(c) Since the measures of two different data have been set to one measure and the value of the Z-score for Boris is higher relative to the Z-score value of Callie so Boris scored higher relatively.

Thus, the Z-score for Boris is 1.627, and the Z-score value for the Callie is 1.267, Boris scored higher relatively.

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Answer:

\(Length = 105.5\ m\)

Step-by-step explanation:

Given

\(Perimeter = 348\)

\(Length = 37 + Width\)

Required

Find the width

\(Length = 37 + Width\)

Make Width the subject

\(Width = Length - 37\)

The perimeter of a rectangular field is

\(Perimeter = 2 * (Length + Width)\)

Substitute Length - 37 for Width

\(Perimeter = 2 * (Length + Length - 37)\)

\(Perimeter = 2 * (2Length - 37)\)

Open Bracket

\(Perimeter = 4Length - 74\)

Substitute 348 for Perimeter

\(348 = 4Length - 74\)

Solve for Length

\(4Length = 348 + 74\)

\(4Length = 422\)

Divide through by 4

\(Length = 422/4\)

\(Length = 105.5\)

Option C best describes the limiting values of T and a under the conditions given. In this case, T represents tension and a represents acceleration.

Without the specific conditions mentioned, it is impossible to determine the exact limiting values of T and a. However, certain options can be ruled out based on common sense and physical laws. For example, option C (T=mg and a=0) is not possible as the tension in a string cannot be equal to the weight of an object. Option E (T=0 and a=[infinity]) is also not possible as a mass cannot have zero tension and infinite acceleration.

Based on these eliminations, the most reasonable options are A (T=0 and a=0) and D (T=[infinity] and a=g). In the former case, the object is not moving and there is no tension in the string. In the latter case, the object is in free fall and the tension in the string is negligible compared to the weight of the object.

However, it is important to note that the exact limiting values of T and a will depend on the specific conditions of the scenario, such as the mass of the object and the angle of the string.

Option C best describes the limiting values of T and a under the conditions given. In this case, T represents tension and a represents acceleration. When T=mg and a=0, it means that the tension in the system is equal to the gravitational force acting on the mass (mg) and the system is in equilibrium with no acceleration. This is a common scenario when an object is hanging from a rope or cable and not moving. The other options do not represent stable or realistic conditions for a physical system.

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Answer:

standard deviation=143.527

C

Step-by-step explanation:

75, 82, 100, 120, 140.

if we add 450

75, 82, 100, 120, 140,450

standard deviation=143.527

find the mean=sum /count=967/6=161.167

then find the  √square difference between each sample and the mean, add up the differences²/6-1

find the square root of the differences=143.527

Answer:

C-the new standard deviation is greater the $27

In the next generation, the observed genotype frequencies in these two populations will differ due to random genetic drift. The smaller population is more susceptible to the effects of genetic drift.

Genetic drift is a random process that can lead to changes in allele frequencies over time in a population. It is particularly impactful in small populations where chance events can have a larger effect. In the given scenario, the population with 50 individuals is significantly smaller compared to the population with 10,000 individuals.

Due to the effects of genetic drift, the observed genotype frequencies in the next generation will likely differ between the two populations. The smaller population is more prone to fluctuations in allele frequencies, resulting in greater variability in genotype frequencies. In contrast, the larger population is less affected by genetic drift and is more likely to maintain relatively stable genotype frequencies.

It's important to note that genetic drift is a random process, and while we can make predictions based on population size and initial allele frequencies, the actual outcomes may still vary. Therefore, the observed genotype frequencies in the next generation will be subject to chance and random fluctuations driven by genetic drift.

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Answer:

13

Step-by-step explanation:

If T is the midpoint PT =TQ

PT = TQ

3x+1 =5x−7

Subtract 3x from each side

3x+1 -3x=5x-3x−7

1 = 2x-7

Add 7 to each side

1+7 = 2x-7+7

8 = 2x

Divide by 2

8/2 = 2x/2

4 =x

We want to find PT

PT=3x+1

   = 3*4+1

   = 12+1

   = 13

Answer: L=46in

Step-by-step explanation:

Using the formulaP=2(l+w)Solving forll=P2﹣w=1362﹣22=46in

Answer:

(x + 7)(x - 4) = x2 - 4x + 7x - 28 = x2 + 3x - 28

    The numbers that are given:

-0.5-0.25-0.125- . . . . . .

 They are part of an infinite series

 A series is the summation of a set of numbers or sequences.

      A sequence is an order of elements that are governed by a pattern, that is, it has variations between each element that remain constant and allow us to determine values before or after the known elements.

 A sequence maintains an order, and this numerical order can be finite or infinite, in the given case we have the following list:

-0.5-0.25-0.125- . . . . . .

If we analyze the variation between each term we have the form:

(-1/2ⁿ)

(-1/2ⁿ)

  In this series we have the initial value of the same, but we do not know the final value, although we know its behavior, we can say that this series has no end, it is an infinite serie.

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Andrea needs approximately 31.25 milliliters of vanilla for her cookie recipe.

To determine the number of milliliters of vanilla Andrea needs for her cookie recipe, we need to convert 3/8 ounce to milliliters using the conversion rate given in the problem.



- We know that 1 milliliter is approximately 0.03 ounce.
- This means that to convert ounces to milliliters, we need to divide the number of ounces by 0.03.
- In this case, Andrea needs 3/8 ounce of vanilla. To convert this to milliliters, we can divide 3/8 by 0.03:

(3/8) / 0.03 = 31.25

- Therefore, Andrea needs approximately 31.25 milliliters of vanilla for her cookie recipe.



To convert ounces to milliliters, we need to use a conversion rate. In this problem, we are given that 1 milliliter is approximately 0.03 ounce. This means that if we want to know how many milliliters are in a certain number of ounces, we can divide that number of ounces by 0.03.

In this case, Andrea needs 3/8 ounce of vanilla for her cookie recipe. To determine the number of milliliters of vanilla she needs, we can divide 3/8 by 0.03:

(3/8) / 0.03 = 31.25

Therefore, Andrea needs approximately 31.25 milliliters of vanilla for her cookie recipe.

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The relative error of the measurement is |x - 0.6|/x

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

Measurement = 0.6 m

The relative error (RE) of the measurement is calculated

RE = Absolute error/Measured Value

Where, we have

Absolute error = |x - 0.6|

Measured Value = x

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

RE = |x - 0.6|/x

Hence, the relative error is |x - 0.6|/x

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Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the solution to the inequality:

\(\star~\large\pmb{\cfrac{x}{9}+3 < 4}\)

\(\triangle~\fbox{\bf{KEY:}}\)

Step 1.

\(\star~\large\pmb{\cfrac{x}{9} < 4-3}\)

\(\star~\large\pmb{\cfrac{x}{9} < 1}\)

Step 2.

\(\star~\large\pmb{\cfrac{x}{9}\times9 < 1\times9}\)

Notice that on the left, the 9s cancel, and we're left with x.

Step 3.

\(\star~\large\pmb{x < 9}\)

This is the solution.

Hope it helps you out! :D

Ask in comments if any queries arise.

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~Just a smiley person helping fellow students :)

Answer:

x < 9

Step-by-step explanation:

Given:  

\(\dfrac{x}{9} + 3 < 4\)

1. Subtract 3 from both sides of the inequality

\(\dfrac{x}{9} + 3 - 3 < 4 - 3\\\\\implies\dfrac{x}{9} < 1\)

2. Multiply both sides of the inequality by 9

\(9\left(\dfrac{x}{9}\right) < 1(9)\\\\\implies x < 9\)

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To rewrite the second-order differential equation as an equivalent set of first-order equations, we introduce a new variable v to represent the derivative of u, i.e., v = u'.

The given differential equation is:

u" - 4u' + 5.5u = -4.5 sin(3t)

Now, we rewrite it as a system of first-order equations:

u' = v

v' = 4v - 5.5u - 4.5sin(3t)

The initial conditions become:

u(1) = 1

v(1) = 2.5

Expressing the system using matrices, we have:

| u' |   | v  |

|    | = |    |

| v' |   | 4v - 5.5u - 4.5sin(3t) |

The initial value of the vector-valued solution for this system is:

| u(1) |

|      |

| v(1) |

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Answer:

most likely next spring

Step-by-step explanation:

Step-by-step explanation:

The z-scores will remain the same regardless of whether you use inches or centimetres for the height measurements.

The z-scores will not change if you convert the height measurements from inches to centimetres or vice versa. The z-score is a standard score representing the number of standard deviations, a value above or below the mean of a normal distribution.

The z-score is calculated using the formula z = (x - mean)/standard deviation, where x is the value being compared to the mean and standard deviation of the distribution.

Converting the height from inches to centimetres or vice versa will only change the units of measurement, but the relative position of a value within the distribution will remain unchanged.

Therefore, the z-scores will remain the same regardless of whether you use inches or centimetres for the height measurements.

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Answer:

it's a improper fraction

Step-by-step explanation:

16/14 is a fraction so whole number and counting number get eliminated

we know it's a fraction it's more the one and it's all together so proper fraction is eliminated

The fraction 16/14 is an Improper Fraction.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

We have the fraction 16/14.

Now, simplifying the fraction as

16/14

= 8/7.

Here the Numerator= 8 and Denominator= 7

Also, Numerator > Denominator.

Since the fraction where the numerator is greater than the denominator is Improper fraction.

Thus, 16/14 is an Improper Fraction.

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Answer:

The value of the given expression to the nearest integer is 114,126.

Step-by-step explanation:

\(\displaystyle \sum^{29}_{n=2}80\left(1.23\right)^{n-2}\)

The given sigma notation means

As 80(1.23)ⁿ⁻² is exponential, the series is geometric.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Geometric sequence}\\\\$a_n=ar^{n-1}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\\phantom{ww}$\bullet$ $r$ is the common ratio.\\\phantom{ww}$\bullet$ $a_n$ is the $n$th term.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}\)

Therefore, the first term, a, is 80 and the common ratio, r, is 1.23.

The formula for the sum of the first n terms of a geometric series is:

\(S_n=\dfrac{a(1-r^n)}{1-r}\)

As the exponent of the sigma notation is (n - 2) rather than (n - 1), and the given values of n are from n = 2 to n = 29, we need to find the sum of the first 28 terms.

Therefore, substitute a = 80, r = 1.23 and n = 28 into the sum formula:

\(\implies S_{28}=\dfrac{80\left(1-1.23^{28}\right)}{1-1.23}\)

\(\implies S_{28}=114125.755...\)

\(\implies S_{28}=114126\)

Therefore, the value of the given expression to the nearest integer is 114,126.