3x-18 >3
need to solve for X

0.0764 is the probability that the scores differ by 5 or more points in either direction

The word "probability" derives from the Latin word "probitatem," which means "credibility, likelihood," from the noun probabilis in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

According to the information, the mean and standard deviation of "X" are:

μ(X) = 24

σ (X) = 2

We have to find the probability the scores differ by 5 or more points on either direction.

Consider X₁ and X₂ as the random variable, which showing the scores of Leon and Fred.

D = X₁ - X₂

According to the information the two scores are independent

The mean of μ(D) = 0

The standard deviation σ(D) = 2.828

Let's standardize D = -5

z = [x - μ(D)] /  σ(D)

z = - 1.77

Let's standardize D = 5

z = [x - μ(D)] /  σ(D)

z = 1.77

Using a table of typical normal probabilities as a guide:

= P (D ≤ -5) or P (D ≥ 5)

= P (z ≤ -1.77) + P (z ≥ 1.77)

= P (z ≥ 1.77) + P (z ≥ 1.77)

= 2P (z ≥ 1.77)
= 2(1 - P (z ≤ 1.77))

= 2 (1 - 0.9618)

= 0.0764

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The surface area of the rectangular prism is 348 square meters.

Hello! I'd be happy to help you find the surface area of a rectangular prism with dimensions 6 m by 4 m by 15 m. The surface area can be calculated using the formula:

Surface Area = 2lw + 2lh + 2wh

where l = length, w = width, and h = height.

Given the dimensions 6 m (length), 4 m (width), and 15 m (height), we can plug in the values

The surface area can be calculated using the formula:

Surface Area = 2(6)(4) + 2(6)(15) + 2(4)(15)
Surface Area = 48 + 180 + 120
Surface Area = 348 m²

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If delta and united flights are not equally on time, then the chance that we see a sample statistic of not equally or any statistic (larger or smaller) is larger, 0.05.

This is because the probability of a sample statistic being either larger or smaller (relative to the population) is always greater than the probability of it being equal. The p-value of 0.05 indicates that there is a 5% probability that the difference in on-time performance between Delta and United flights is due to chance.

The p-value of 0.05 indicates that there is a 5% chance that the observed sample statistic (of being larger or smaller than expected) is due to chance alone.

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The complete question is:

Complete the interpretation for the p-value:

If delta and united flights are (equally, not equally) on time, then the chance that we see a sample statistic of ______ or any statistic (larger, smaller) is _______ .

Answer:

the odds against Zahra climbing to the top are,

B. 4:1

Step-by-step explanation:

Since she has climbed 7 times in 28 attempts,

the probability of a successful climb is,

P = 7/28

P = 1/4

So, the odds against Zahra climbing to the top are 4:1

The first five terms of the sequence are -2, -10, -24, -44, and -70.

It seems there is a typo in the formula for the nth term of the sequence. However, to interpret it as an = n - 3n(n). To find the first five terms, we will plug in the values n = 1, 2, 3, 4, and 5:

1. For n = 1, a1 = 1 - 3(1)(1) = 1 - 3 = -2
2. For n = 2, a2 = 2 - 3(2)(2) = 2 - 12 = -10
3. For n = 3, a3 = 3 - 3(3)(3) = 3 - 27 = -24
4. For n = 4, a4 = 4 - 3(4)(4) = 4 - 48 = -44
5. For n = 5, a5 = 5 - 3(5)(5) = 5 - 75 = -70

The first five terms are -2, -10, -24, -44, and -70.

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The maximum value attained by the sum of the expression is 169 when N is the two-digit number 98.

Let N be a two-digit number with digits a and b. Then, the sum of N and the product of its digits is N + ab, and the sum of N's digits is a + b. Therefore, the expression we want to maximize is:

Substituting N = 10a + b, we get:

To maximize this expression, we want to maximize a and b. Since a and b are digits, they must be between 1 and 9. If we set a = 9 and b = 8, we get:

Therefore, the maximum value attained by the expression is 169 when N is the two-digit number 98.

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Answer:

ggdhgddgjjgf

Step-by-step explanation:

The instantaneous velocity of the object at t = 6 is 2.

Suppose that s is the position function of an object, given as s(t) = 2t - 7. We compute the instantaneous velocity of the object at t = 6 as follows. Use exact values. First we compute and simplify (6 + h). s(6 + h) = 2(6 + h) - 7 = 12 + 2h - 7 = 2h + 5Then we compute and simplify the average velocity of the object between t = 6 and t = 6 + h.8(6+h) - s(6) h = 8(6 + h) - (2(6) - 7) h= 8h + 56

Then, to rationalize the numerator in the average velocity. (If it applies, simplify again.)$(6 + h) - $(6) h(h(h) + 56)/(h(h)) = (8h + 56)/h The instantaneous velocity of the object att = 6 is the limit of the average velocity as h approaches zero.s(6 + h) – $(6) v(6) lim h -0s(6 + h) – s(6) v(6) lim h -0Using the above calculation, we get:s(6 + h) – s(6) / h lim h -0s(6 + h) = 2(6 + h) - 7 = 2h + 5So,s(6 + h) – s(6) / h lim h -0(2h + 5 - (2(6) - 7)) / h= (2h + 5 - 5) / h = (2h / h) = 2

Therefore, the instantaneous velocity of the object at t = 6 is 2.

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The matching sets for the given orbitals are as follows:

A. 3, 2, -1

C. 5, 1, -1

G. 4, 0, -1

H. 3, 2, 3

In quantum mechanics, each electron in an atom is described by a set of quantum numbers that provide information about its energy level, orbital shape, and orientation. The quantum numbers include the principal quantum number (n), the azimuthal quantum number (l), and the magnetic quantum number (ml).

For the given orbitals, we need to match the orbital names with the sets of quantum numbers. Let's go through each option:

A. The quantum numbers 3, 2, -1 correspond to the orbital name 3dxy. The principal quantum number (n) is 3, the azimuthal quantum number (l) is 2, and the magnetic quantum number (ml) is -1. This describes a d orbital in the xy plane.

C. The quantum numbers 5, 1, -1 correspond to the orbital name 5py. The principal quantum number (n) is 5, the azimuthal quantum number (l) is 1, and the magnetic quantum number (ml) is -1. This describes a p orbital oriented along the y-axis.

G. The quantum numbers 4, 0, -1 correspond to the orbital name 4pz. The principal quantum number (n) is 4, the azimuthal quantum number (l) is 0, and the magnetic quantum number (ml) is -1. This describes a p orbital oriented along the z-axis.

H. The quantum numbers 3, 2, 3 correspond to the orbital name 3dxyz. The principal quantum number (n) is 3, the azimuthal quantum number (l) is 2, and the magnetic quantum number (ml) is 3. This describes a d orbital with complex orientation in space.

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Therefore, The two solutions are x₁ = -0.5 and x₂ = -1.0. The correct answers are x = -1.0 and x = -0.5.

To solve the equation 2x(x + 1.5) = -1, follow these steps:
1. Distribute the 2x: 2x^2 + 3x = -1.
2. Rearrange the equation to make it quadratic: 2x^2 + 3x + 1 = 0.
3. Apply the quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a, where a = 2, b = 3, and c = 1.
4. Calculate the discriminant: Δ = b^2 - 4ac = 3^2 - 4(2)(1) = 9 - 8 = 1.
5. Calculate the two solutions: x₁ = (-3 + √1) / 4 and x₂ = (-3 - √1) / 4.

Therefore, The two solutions are x₁ = -0.5 and x₂ = -1.0. The correct answers are x = -1.0 and x = -0.5.

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D. No; he will practice a total of 2 7/12 hours, and 2 7/12 < 2 1/2. John will practice a total of 2 7/12 hours (or 2.58 hours), which is less than his goal of 2 1/2 hours.

John practices 1 1/6 hours on Saturday and 1 1/4 hours on Sunday. To find the total practice time, we add these two amounts:

1 1/6 + 1 1/4 = 6/6 + 7/6 = 13/6 = 2 1/6

Converting 2 1/6 to a mixed fraction, we get 2 2/12 or 2 1/6 hours.

Therefore, the total practice time is 2 1/6 hours, which is less than John's goal of 2 1/2 hours (2 6/12).

option D correctly states that John will practice a total of 2 7/12 hours, and this amount is indeed less than 2 1/2 hours.

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Answer:

A

Step-by-step explanation:

Look at the positive-negative values of the quadrants.

The transformed figure still has positive x values, but now has negative y values.

Answer: B, cause it's the opposite of positive X, Y.

The variable costs to produce one widget is 6.00

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

E = 6.00 q + 11,000

The variable cost is the slope of the relation

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

Fixed cost = 11000

Variable cost = 6.00

The above parameters mean that

The variable cost is 6.00

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The specific heat of the given sample is approximately 239.6 J/(kg·°C). This value indicates the amount of heat energy required to raise the temperature of 1 kilogram of the sample by 1 degree Celsius.

To determine the specific heat of the given sample, we can use the formula Q = mcΔT, where Q is the heat energy added, m is the mass of the sample, c is the specific heat, and ΔT is the change in temperature. By rearranging the formula, we can solve for c.

In this case, we are given the heat energy Q = 1.25 × 10^4 J, the mass m = 28.4 N (weight in newtons), and the change in temperature ΔT = 18.0 °C. To calculate the specific heat c, we rearrange the formula Q = mcΔT and solve for c.

First, we convert the weight from newtons to kilograms by dividing it by the acceleration due to gravity (9.8 m/s^2). So, the mass of the sample in kilograms is 28.4 N / 9.8 m/s^2 = 2.90 kg.

Substituting the given values into the formula, we have 1.25 × 10^4 J = c × 2.90 kg × 18.0 °C. Now, we can solve for c by dividing both sides of the equation by (2.90 kg × 18.0 °C):

c = (1.25 × 10^4 J) / (2.90 kg × 18.0 °C) ≈ 239.6 J/(kg·°C).

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Therefore, m = 7.5454... (rounded to four decimal places) and n = 0.5455...

What is Simultaneous Equations?

A finite set of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations or an equation system.

1) 3p + 4q = 23

10p + 12q = 74

Subtracting 3 times the first equation from the second equation, we get:

10p + 12q - 3(3p + 4q) = 74 - 3(23)

10p + 12q - 9p - 12q = 5

p = 5

Substituting p = 5 in the first equation, we get:

3(5) + 4q = 23

4q = 8

q = 2

Therefore, p = 5 and q = 2.

2) 4s + 2t = 20

11s + 4t = 49

Multiplying the first equation by 2 and subtracting it from the second equation, we get:

11s + 4t - 2(4s + 2t) = 49 - 2(20)

11s + 4t - 8s - 4t = 9

3s = 9

s = 3

Substituting s = 3 in the first equation, we get:

4(3) + 2t = 20

2t = 8

t = 4

Therefore, s = 3 and t = 4.

3) 3a + 4b = 34

12a + 5b = 59

Multiplying the first equation by 3 and subtracting it from the second equation, we get:

12a + 5b - 3(3a + 4b) = 59 - 3(34)

12a + 5b - 9a - 12b = 17

3a - 7b = 17

Multiplying the first equation by 5 and subtracting it from the second equation, we get:

12a + 5b - 5(3a + 4b) = 59 - 5(34)

12a + 5b - 15a - 20b = -61

-3a - 15b = -61

a + 5b = 20

Adding the equations 3a - 7b = 17 and a + 5b = 20, we get:

4a = 37

a = 9.25

Substituting a = 9.25 in the equation a + 5b = 20, we get:

9.25 + 5b = 20

5b = 10.75

b = 2.15

Therefore, a = 9.25 and b = 2.15 (rounded to two decimal places).

4) 6m + 5n = 48

18m + 4n = 78

Multiplying the first equation by 3 and subtracting it from the second equation, we get:

18m + 4n - 3(6m + 5n) = 78 - 3(48)

18m + 4n - 18m - 15n = -6

-11n = -6

n = 0.5455...

Substituting n = 0.5455... in the first equation, we get:

6m + 5(0.5455...) = 48

6m = 45.2727...

m = 7.5454...

Therefore, m = 7.5454(rounded to four decimal places) and n = 0.5455.

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Answer:

17, -120, 36, -0.5, -2

Step-by-step explanation:

hope this helps

Answer:

34.

Step-by-step explanation:

The three integers would be 34,35,36 because the sum of the three numbers is 105.

Answer:

About 1.23 standard deviation above the mean

Step-by-step explanation:

From what we have here, we need to calculate the difference between the given value and the mean and divide by the standard deviation

That would be through calculating the z score as follows;

z-score = (x - mean)/SD

where x is the given value

z-score = (87-71)/13 = 1.23

Since the score is bigger than the mean, the correct choice here is that the score is about 1.23 standard deviation above the mean

We have to assume that the sample mean is given , distribution is normal and sample size is also given.

Given confidence level 99%.

We have to answer the assumptions that are needed to make a valid 99% confidence interval.

Confidence interval can be made by formula of margin of error.

Margin of error is the difference between actual values and the calculated values.

Upper level of confidence interval=Mean+ margin of error

Lower level of confidence interval= Mean - margin of error.

Margin of error=z*σ/\(\sqrt{n}\)

where z is the corresponding z value for the confidence level given ,

σ is population mean and n is sample size.

Hence to calculate the confidence interval we need population mean, sample size.

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Answer:

ggs

Step-by-step explanation:

Using Direct Variation, the value of n = 26

An equation is an expression that shows the relationship between two or more numbers and variables.

We need to Write y = kx based on the conditions stated.

Replace with: -18 = k x 3

Turn the sides around: k × 3 = -18

Now Subtract the coefficient of the variable from both sides of the equation:

k = 26 compute the product or quotient.

Write the function's equation as;

y = 26x

Replace with:

n = 26 × 4

n = 104; compute the product or quotient.

Response: n = 26

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Answer:

One solution:(1,2)

Step-by-step explanation:

   y = x + 1

/Plug this in for variable  y  in equation [2]

  -2x - (x +1) = -4

  -3x = -3

Solve equation [2] for the variable  x  

 3x = 3  

    x = 1  

By now we know this much :

   x = 1

   y = x+1

Use the  x  value to solve for  y  

   y = (1)+1 = 2

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Option 4 (x - y)(x + 1) is the invalid boolean expression among the options provided.

A boolean expression is an expression that can either be true or false. These expressions have variables, constants, and logical operators that determine their truth value based on the values assigned to the variables. Boolean expressions are commonly used in programming and logical operations.

Let's verify each option:

x': It is a valid boolean expression because it represents the negation of variable x.

x + y: It is a valid boolean expression because it represents the logical OR operation on variables x and y.

(x + y)(x + 1): It is a valid boolean expression because it represents the logical AND operation on (x + y) and (x + 1).

(x - y)(x + 1): It is an invalid boolean expression because it includes the subtraction operator, which is not a valid logical operator. Therefore, (x - y) is an invalid boolean expression, and the entire expression is invalid.

Option 4 (x - y)(x + 1) is the invalid boolean expression among the options provided.

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Answer:

124 degrees

Step-by-step explanation:

We know that a straight line is equal to 180 degrees. Therefore, all of these angles combined have to be equal to 180 degrees. This means the equation will be 3x+94+x+30+2x-4=180. Combine like terms to get 6x+120=180. 6x=60. x=10. Now that we know x, we plug it into the equation to find angle AOC. This will make the equation 3(10)+94. This is equal to 30+94 which is equal to 124. Therefore, angle AOC is equal to 124 degrees.

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The mean amount of snow per day is equal to 19 cm snow per day.

In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:

Mean = [F(x)]/n

For the total amount of snow based on the frequency, we have;

Total amount of snow (s cm), F(x) = 5(8) + 15(10) + 25(7) + 35(2) + 45(3)

Total amount of snow (s cm), F(x) = 40 + 150 + 175 + 70 + 135

Total amount of snow (s cm), F(x) = 570

Now, we can calculate the mean amount of snow as follows;

Mean = 570/30

Mean = 19 cm snow per day.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

(-8 * 9 * -5 )- -14

360 - - 14 = 360 + 14 = 374

Answer:

\(w=4\)

Step-by-step explanation:

So we have the equation:

\(3w+7=19\)

Subtract 7 from both sides:

\(3w=12\)

Divide both sides by 3:

\(w=4\)

So, the value of  w is 4.

And we're done!

The value of w in the equation 3w + 7 = 19 will be 4 .

Given ,

Equation : 3w + 7 = 19

Here,

Solve the equation ,

Take 7 from LHS to RHS ,

3w = 19 - 7

3w = 12

Divide both LHS and RHS by 3

w = 12/3

w = 4

Thus the value of w will be 4 .

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CosA is negative for the largest angle in an obtuse triangle. Using the law of cosines, a²>b²+c², a>b, and a>c are derived.

Step 1: As the obtuse triangle has the largest angle A (more than 90 degrees), the cosine function's value is negative.

Step 2: By applying the Law of Cosines in the triangle, a²>b²+c², which is derived from a²=b²+c²-2bccosA, and hence a>b and a>c can be derived.

Step 3: From the previously derived inequality a²>b²+c², we can conclude that a>b and a>c as a²-b²>c². The value of a² is greater than both b² and c² when a>b and a>c.

Therefore, the largest angle of an obtuse triangle is opposite the longest side.

Step 4: In triangle ABC, A=103°, a=25, and c=30.

a² = b² + c² - 2bccos(A),

a² = b² + 900 - 900 cos(103),

a² = b² + 900 + 900 cos(77),

a² > b² + 900, so a > b.

Similarly, a² > c² + 900, so a > c.

Therefore, triangle ABC satisfies a>b and a>c.

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Answer:

hypotenuse Pythagoras property