Solve for x. Round your answer to the nearest tenth if necessary.

The probability that Melinda will be able to make an integer between 10 and 20 (inclusive) is 1/6.

The probability that Melinda will be able to make an integer between 10 and 20 (inclusive) with the two numbers she rolls can be calculated by determining the number of favorable outcomes and dividing it by the total number of possible outcomes.

To find the number of favorable outcomes, we need to identify the combinations of two numbers that will result in a two-digit number between 10 and 20. We can list these combinations as follows:

11, 12, 13, 14, 15, 16

Notice that we only have six favorable outcomes.

Now, let's determine the total number of possible outcomes when rolling two six-sided dice. Each die has six possible outcomes (1, 2, 3, 4, 5, 6), so the total number of outcomes is 6 multiplied by 6, which equals 36.

To calculate the probability, we divide the number of favorable outcomes (6) by the total number of possible outcomes (36):

Probability = Favorable outcomes / Total outcomes
Probability = 6 / 36
Probability = 1 / 6

Therefore, the probability that Melinda will be able to make an integer between 10 and 20 (inclusive) is 1/6.

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Answer:

-26.25 - 15.5x = -15.5x - 11.78

collect the like term

-15.5x + 15.5x = -11.78 + 26.25

= 14.48

Answer:

no solution

Step-by-step explanation:

- 5(5.25 + 3.1x) = - 6.2(2.5x + 1.9) ← distribute parenthesis on both sides

- 26.25 - 15.5x = - 15.5x - 11.78 ( add 26.25 to both sides )

- 15.5x = - 15.5x + 14.47 ( add 15.5x to both sides )

0 = 14.47 ← False

this false statement indicates the equation has no solution

The mean absolute deviation (MAD) is a measure of the average distance between each data point and the mean of a data set. To find the MAD, we first need to calculate the mean of the data set by summing up all the values and dividing by the total number of values:

2 + 9 + 1 + 23 + 3 + 7 + 10 + 2 + 10 + 9 + 7 = 83 (sum of values)
83 / 11 = 7.54 (mean)

Next, we calculate the absolute deviation for each data point by subtracting the mean from each value and taking the absolute value:

|2 - 7.54| = 5.54
|9 - 7.54| = 1.46
|1 - 7.54| = 6.54
|23 - 7.54| = 15.46
|3 - 7.54| = 4.54
|7 - 7.54| = 0.54
|10 - 7.54| = 2.46
|2 - 7.54| = 5.54
|10 - 7.54| = 2.46
|9 - 7.54| = 1.46
|7 - 7.54| = 0.54

The MAD is then calculated by finding the mean of these absolute deviations:

(5.54 + 1.46 + 6.54 + 15.46 + 4.54 + 0.54 + 2.46 + 5.54 + 2.46 + 1.46 + 0.54) / 11 = 4.27

Therefore, the MAD of this data set represents the average distance between each data point and the mean after removing the outlier. In this case, it gives us an idea of how spread out the remaining data points are from the mean.

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The slope intercept from of equation exists y = -0.25x -19.5.

The relationship between how a line's y coordinate and x coordinate change determines the slope of that line. The net modifications to the y and x coordinates, respectively, are denoted by y and x. In light of this, it is possible to express the change in y coordinate in relation to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given: A line that passes through points  (8, 13) and(-12, 18)

substituting the values, we get

m = ( 18 - 13)/ ( -12 - 8)

simplifying the above equation, we get

m = -0.25

Now, using slope intercept form

y - a = -0.25( x- b)

substitute the values in the above equation, we get

y - (13)= -0.25(x-(18))

y - 15= -0.25x-(-0.25 × 18))

simplifying the equation, we get

y = -0.25x - 4.5 -15

y = -0.25x -19.5

Therefore, the slope intercept from of equation exists y = -0.25x -19.5.

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The difference between RMS and MS is that MS is the mean of the squares of a set of values, while RMS is the square root of the mean of the squares of a set of values.

Both concepts are used to describe the average value of a set of values, but RMS provides a more meaningful representation of the magnitude of the values.

The Root Mean Square (RMS) and Mean Square (MS) are mathematical concepts used in various fields such as physics, engineering, and statistics. They are used to describe the average value of a set of values, but they are different in the way they are calculated and the results they represent.

Mean Square (MS) is the arithmetic mean of the squares of a set of values. It is calculated by summing up the squares of the values and dividing the result by the number of values.

Root Mean Square (RMS) is the square root of the mean square. It is calculated by taking the square root of the result of the mean square calculation.

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Answer:

The answer to your question is 07 cups

Step-by-step explanation:

1 ounce to cups = 0.125

56oz x 0.125 = 7

I hope this helps and have a wonderful day!

In 1260 different ways these trees can be planted in a row.

The selection of objects for their arrangement in a particular order is known as permutation. In permutation, the arrangement order of the selected items is also considered. Permutation can be known as an ordered combination. The selection of items from a collection where the order of the selection is neglected is known as a combination. The formula for permutations is

                                  ⇒ P(n,r) = n! / (n-r)!

Permutations are classified into three types- permutations of n different objects, permutations with repetition and permutations of multiple sets.

When we have 'n' different objects where \(P_{1}, P_{2}\) and \(P_{3}\) among 'n' objects are similar, then the permutations of multiple sets can be given by the formula,

                                  ⇒  \(P = n! / p_{1}! . p_{2}! .....p_{k}!\)       → 1

   where,        n = total number of objects

                      \(p_{1} , p_{2}, .....p_{k}\) = objects in each individual sets

From the given problem,     n = 3(apple) + 4(orange) + 2(fig)

                                              n = 9

                                  \(p_{1}\) = 3, \(p_{2}\) = 4 and \(p_{3}\) = 2

                                  ⇒   P =  9! / 3! . 4! . 2!

                                            =  362880 / 6 . 24 . 2

                                            =  362880 / 288

                                            =  1260

Therefore, we can plant trees in 1260 ways.

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The number of hours that the moving company uses is 12 hours.

The linear equation that represents the information in the question is:

Total amount = flat fee + (rate per hour x number of hours)

$120 = $24 + ($8 x t)

$120 = $24 + 8t

Where t is the number of hours

In order to determine the value of t, take the following steps:

Combine similar terms: $120 - $24 = 8t

Add similar terms: $96 = 8t

Divide both sides of the equation by 9

t = 96 / 8 = 12 hours

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Answer:

1/4

Hope that this helps!

Answer:

It will be 1/4 if simplified as well.

Step-by-step explanation:

First it will be written as 25/100 because % = 100. After u have 25/100, u will start dividing both numbers with 25. u will get 1/4.

Answer: c) $109.88

Step-by-step explanation: divide 750 by 21.5 to figure out how many gallons he would need and than multiply that by $3.15 to find out how much it would cost and you get $109.88

Answer:

109.88

Step-by-step explanation:

Divide 750 by 21.5. Then multiply the result by 3.15.

Answer:

260.42 you add them because it want the total time of all of them

Step-by-step explanation:

Answer: 49

Step-by-step explanation:

28÷8=3.5

3.5 is the number you multiply 14 by to get 49

Answer:

Answer is (a)

Step-by-step explanation:

Well I didn’t really do any work but you can tell right away theres a ton of slope options so you can’t eliminate from there, BUT when you look at the y-intercept, 3 is the only y-intercept option here and the only choice with the y-intercept of 3 is (a).

The value of c in the equation 6,098×c=5,695,532 is 934

The given equation is 6,098×c=5,695,532

We have to find the value of c

c is the variable in the equation

6,098×c=5,695,532

Divide  both sides by 6098

c=5,695,532/6098

c=934

Hence, the value of c in the equation 6,098×c=5,695,532 is 934

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The given statement " When the film is placed into the XCP (extension cone paralleling) holder with the smooth side of the film towards the throat, after processing, it will appear darker" is false because it will  lighter, not darker.

The smooth side of the film is the side that interacts with the X-ray radiation and receives the image, while the emulsion side contains the light-sensitive crystals that react to the radiation.

Placing the smooth side towards the throat ensures that the image is sharp and clear, as the X-ray beam travels through the teeth and soft tissues before reaching the film.

After processing, the exposed areas of the film turn dark, representing the captured X-ray image, while the unexposed areas remain light or clear.

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STEP 1: (1/3 : 1/6) = 2/1 = 2

STEP 2: 3/4 + 2 = 11/4 = 2 3/4 = 2.75

STEP 3: 2.75 (-1/2) = -11/8 = -1 3/8 = -1.375

(1) Divide: 1/3 : 1/6 = 1/3 · 6/1 = 1 · 6/3 · 1 = 6/3 = 3 · 2 /3 · 1 = 2

(2)Add: 3/4 + the result of step No. 1 = 3/4 + 2 = 3/4 + 2/1 = 3/4 + 2 · 4/1 · 4 = 3/4 + 8/4 = 3 + 8/4 = 11/4

(3) Subtract: the result of step No. 2 - (-1/2) = 11/4 - (-1/2) = 11/4 - (-1) · 2/2 · 2 = 11/4 - (-2/4) = 11 - (-2)/4 = 13/4

Therefor your answer is A 13/4 OR 1 and 3/4: )

Hope this helps!

Sorry for all the steps but those steps will help you!

-Hailey: )

(nothing is copied or pasted!!!!!)

Answer:

a= 3 w- 1

Step-by-step explanation:

Answer:

A=12\(u^{2}\)

Step-by-step explanation:

A=bh/2

A=(4)(6)/2

The value of the integral I₁ is (1/2)π.

To evaluate the integral I₁ = ∫(1 to 0) √(1-x²) dx, we can use known areas of geometric shapes. Specifically, we can use the fact that the integral represents the area of the upper half of a unit circle centered at the origin, and we can use this to express the integral in terms of a known area formula.

The area of a unit circle is given by A = πr² = π(1)² = π. Since the integral I₁ represents the area of the upper half of the unit circle, we can express I₁ as half the area of the entire circle:

I₁ = (1/2)π

Therefore, the value of the integral I₁ is (1/2)π.

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Answer:

B because as you move from left to right the pattern increases by 1

Answer:

2u - uxs - 8xs + 4xs

Step-by-step explanation:

( u - 4xs ) ( 2 - xs )

= u ( 2 - xs ) - 4xs ( 2 - xs )

= 2u - uxs - 8xs + 4xs

(a) The curve defined by the parametric equations x = t^2, y = -1/4t (t > 0) represents a parabolic trajectory, the point of intersection between the curve and the hyperbola is (4∛2, -1/(4∛2)).

To find the points on the curve where the tangent line is parallel to the line y = x, we need to determine when the slope of the tangent line is equal to 1.

The slope of the tangent line is given by dy/dx. Using the chain rule, we can calculate dy/dt and dx/dt as follows:

dy/dt = d/dt(-1/4t) = -1/4

dx/dt = d/dt(\(t^2\)) = 2t

To find when the slope is equal to 1, we equate dy/dt and dx/dt:

-1/4 = 2t

t = -1/8

However, since t > 0 in this case, there are no points on the curve where the tangent line is parallel to y = x.

(b) To determine the points on the curve where it intersects the hyperbola xy = 1, we can substitute the parametric equations into the equation of the hyperbola:

\((t^2)(-1/4t) = 1 \\-1/4t^3 = 1\\t^3 = -4\\\)

Taking the cube root of both sides, we find that t = -∛4. Substituting this value back into the parametric equations, we get:

x = (-∛4)^2 = 4∛2

y = -1/(4∛2)

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The formula to find the total number of trees, t, in r rows is \(t = 10 \times r\)

Sequence and series - A sequence is a list of items/objects which have been arranged in a sequential way. A series can be highly generalized as the sum of all the terms in a sequence. However, there has to be a definite relationship between all the terms of the sequence.

If there are 10 trees planted in each row, then the total number of trees in one row is 10. To find the total number of trees in r rows, we need to multiply the number of trees in one row (10) by the number of rows (r):

\(t = 10 \times r\)

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If the trees are planted in rows of 10, then the total number of trees in r rows can be found using the formula: t = 10r

A sequence is an ordered list of numbers or other mathematical objects, such as functions or geometric figures, that follow a certain pattern or rule. A sequence can be finite or infinite and can be specified using a formula or a recursive rule.

A series is a sum of the terms in a sequence, typically written using the sigma notation Σ

where t is the total number of trees and r is the number of rows. This formula simply multiplies the number of trees in each row (which is 10) by the number of rows, to get the total number of trees.

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The printer can print approximately 48.75 documents in 1.5 minutes or 1 and a half minutes.

The number of documents printed in t minutes is given by the expression:

35t^2 - 30

To find out how many documents can be printed in 1.5 minutes (which is equal to 3/2 minutes), we can substitute t = 3/2 into the expression:

35(3/2)^2 - 30

= 35(9/4) - 30

= 78.75 - 30

= 48.75

Therefore, the printer can print approximately 48.75 documents in 1.5 minutes or 1 and a half minutes.

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Answer:

None

Step-by-step explanation:

It would be easier to ask your teacher instead of getting wrong answers from random people. Ever think of that :0

Answer:

The p-value categories are as follows:

p-value < 0.01

0.01 ≤ p-value < 0.025

0.025 ≤ p-value < 0.05

0.05 ≤ p-value < 0.10

p-value ≥ 0.10

Step-by-step explanation:

The p-value is a statistical measure used in hypothesis testing to determine the significance of results. It represents the probability of obtaining results as extreme or more extreme than the observed data, assuming the null hypothesis is true. In the given categories, a p-value less than 0.01 indicates strong evidence to reject the null hypothesis and suggests a significant result. This means that the observed data is highly unlikely to have occurred by chance alone.

A p-value between 0.01 and 0.025 suggests strong evidence against the null hypothesis, but it is slightly less significant than the previous category.

A p-value between 0.025 and 0.05 indicates moderate evidence against the null hypothesis. While still statistically significant, it may not be as strong as the previous categories.

A p-value between 0.05 and 0.10 suggests weak evidence against the null hypothesis. It indicates some level of significance, but it is generally considered less conclusive.

Lastly, a p-value greater than or equal to 0.10 suggests that there is insufficient evidence to reject the null hypothesis. The observed data is likely to have occurred by chance, and the results are not considered statistically significant.

These categories help researchers and statisticians interpret the significance of their findings and make informed decisions based on the strength of evidence provided by the p-value.

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Answer:

18:9

14:7

10:5

6:3

2:1

Step-by-step explanation:

I know this because 9 is half of 18, and so 7*2 is 14, and the rest is self explanatory.

Each time X increases, there is a perfectly predictable increase in Y  is indicated by a Pearson correlation of r= +1.00 between X and Y

A Pearson correlation coefficient of +1.00 indicates a perfect positive linear relationship between the variables X and Y. It means that as X increases, Y increases in a perfectly predictable manner. The correlation coefficient of +1.00 indicates a strong and direct relationship between the two variables, where the values of Y can be precisely determined based on the values of X.

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The the probability of picking a 2 and then picking a factor of 12 is 1/6.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Sample space = {1, 2, 3, 4}

The probability of just picking up a 1 is 1/4.

Now, the remaining cards = 3

So, the probability of getting a factor of 12 (i.e., 3 and 4} is

= 2/3

Thus, the combined probability is

= 1/4 x 2/3

= 2/12

= 1/6

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