you roll four dice and take the sum of the three highest values. what is the probability that this sum is equal to 18?

Hey there!

40 / 1 + 3 ‐ (3 * 7) + 7 - 5

= 40 + 3 - (3 * 7) + 7 - 5

= 43 + 7 - 5 - 3 * 7

= 50 - 5 - 3 * 7

= 45 - 3 * 7

= 45 - 21

= 24

Answer: 24

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

x=4

Step-by-step explanation:

3x+2+5x-10=24

8x-8=24

8x=32

x=4

Answer:

x=4

Step-by-step explanation:

Let me know if you need step by step, it doesn't look like it though.

I hope this helps!!

The following equation could be used to represent a function w:

= w(x)=v(x-7)+7

According to the information provided,

The point of discontinuity of rational functions is at x=7.

When a rational function has a point of discontinuity, it generally occurs when,

q(x) = r(x-a), where x = a

In this case, we must pay attention to the following relationship, which is a combination of a parent rational function and a vertical translation:, (2)

If we know that a=7 and k=7.

The equation which can represent w is as follows,

w(x) = v ( x-7 ) + 7

A rational function can be represented as a polynomial split by another polynomial. Because polynomials are defined everywhere, the domain of a rational function is the set of all numbers except the zeros in the denominator.

Example: x = f(x) (x - 3). The denominator, x = 3, has only one zero. Rational functions are no longer defined when the denominator is zero.

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Before conducting a t-test for one mean, we need to check whether the conditions for inference are met.

The conditions for conducting a t-test for one mean are:

The sample should be a simple random sample from the population or a randomized experiment.

The population should be normally distributed or the sample size should be sufficiently large (n > 30).

The population standard deviation is unknown, but the sample standard deviation can be used as a good estimate.

Assuming that the teacher has taken a simple random sample of his coffee cooling time and the sample size is less than 30, we need to check the normality condition.

Since the sample size is less than 30, we should use a normal probability plot or a histogram to check the normality of the data. If the data is approximately normal, we can proceed with the t-test for one mean. If the data is not normal, we cannot use the t-test and should consider using a non-parametric test instead.

However, we do not have any information on the distribution of the sample. The teacher should check the normality of his sample using a normal probability plot or a histogram. Without this information, we cannot say whether the conditions for inference are met or not.

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An equation relating the area of the original drawing to its smaller scale drawing is: Area of bigger rectangle = 2.5 * area of smaller rectanglePercentage of the smaller rectangle in bigger one is: 40%

The area of a rectangle is given by the formula:A = l * where:l is length is width1) Area of larger rectangle: A_large = 15 * 12

Since the bigger rectangle is reduced to get a small rectangle, then: Scale Factor = 15/6 = 12/4.8 = 2.5

Thus, we can write the area of the big rectangle as: A_large = 2.5(6 * 4.8)Area of the smaller rectangle = 6 * 4.8

Thus:Area of bigger rectangle = 2.5 * area of smaller rectangle

Percentage of smaller rectangle in bigger one = 1/2.5 = 0.4 = 40%

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Answer: 56.548

Step-by-step explanation:  Circumfrance = (radius x pi) x2

Answer:

The answer is 56.57miles

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

it can be solved

Answer:

C.

Step-by-step explanation:

The number of possible ways in which we can select 3 elements from 7 elements are  given in option d. 35.

There are a total of 7 elements and we can to select 3 elements out of them.

We have to apply the permutation and combination here in order to find the answer,

The formula is ⁿCₐ

Where, C represents combination,

n is the total number of combination,

a is the number of selections that we have to do,

ⁿCₐ = n!/(n-a)!a!

Now, putting n = 7 and a = 3,

ⁿCₐ = 7!/(4)!3!

ⁿCₐ = 35

So, the total number of ways possible are 35.

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Answer:

Step-by-step explanation:

Equation

y = x^2 + 8x + 7                      Put brackets around the first two terms

y = (x^2 + 8x) + 7                    Take 1/2 the linear term's coefficient  (8)

8/2 = 4                                    Put this result inside the brackets and  square

y = (x^2 + 8x + 4^2) + 7          Take - 4^2 and add it to the seven.

y = (x^2 + 8x + 16) + 7 - 16       What you did, did not change the eqiuation

Y = (x^2 + 8x + 16) - 9              The first 3 terms make a perfect square

y = (x + 4)^2 - 9

The minimum should be at - 4,-9  Just to make sure it is, I'll graph the original equation. The y intercept should be at 7 and the two x roots should x = + 3 - 4 and x = -3 - 4. or x = -1 and x = - 7

Let's see if this all checks out.

Graph of original equation.

This is the inequality that is represented by the graph.

I took a screenshot of your question and I took it one of tutors on here so you can get it quicker!

The smallest number a such that A + BB is regular for all B > a can be determined by finding the eigenvalues of the matrix A. The value of a will be greater than or equal to the largest eigenvalue of A.

A matrix A is regular if it is non-singular, meaning it has a non-zero determinant. We can consider the expression A + BB as a sum of two matrices. To ensure A + BB is regular for all B > a, we need to find the smallest value of a such that A + BB remains non-singular. One way to check for singularity is by examining the eigenvalues of the matrix A. If the eigenvalues of A are all positive, it means that A is positive definite and A + BB will remain non-singular for all B. In this case, the smallest number a can be taken as zero. However, if A has negative eigenvalues, we need to choose a value of a greater than or equal to the absolute value of the largest eigenvalue of A. This ensures that A + BB remains non-singular for all B > a.

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Answer:

10x²-15x

Step-by-step explanation:

5x(2x-3)

=10x²-15x

Answer:

1. T(d) = A(d) + B(d)

2. T(d) = 12d + d²

Step-by-step explanation:

From the question given above, the following data were obtained:

A(d) = 10d

B(d) = 2d + d²

1. Determination of the formula of T(d) in terms of A(d) and B(d).

T(d) is the total money obtained. Thus,

T(d) = A(d) + B(d)

2. Determination of the formula of T(d) in terms of d.

A(d) = 10d

B(d) = 2d + d²

T(d) =?

T(d) = A(d) + B(d)

T(d) = 10d + 2d + d²

T(d) = 12d + d²

The classification of the system of linear equations 4x + y = 4 and y = -4x + 4 is: consistent and independent. The Option B is correct.

We have a consistent independent equation when a system of linear equations has exactly one solution. When this occurs, the graphs of the system's lines cross at exactly one point.

For our question, we can start by rearranging the first equation to isolate y:

\(4x + y = 4\\y = -4x + 4\)

We can see that the second equation is already in the form y = mx + b, where m is the slope and b is the y-intercept. So we can identify that the slope of the second equation is -4 and the y-intercept is 4.

Now we can compare the slopes and y-intercepts of the two equations to determine the classification of the system of equations:

In this case, we can see that the slopes of the two equations are different (-4 and 0) and the y-intercepts are the same (4). Therefore, the system is consistent and there is a unique solution. So the classification of the system of linear equations 4x + y = 4 and y = -4x + 4 is: consistent and independent

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Answer:

5, 30, and 70

Step-by-step explanation:

Multiply by  number of quarters by 5 to get the number of nickels.

The minimum number of statistical tests required to prove or disprove the hypothesis that MLTSRV and #EYECNT are helpful in increasing TIPAMT is 1.

Only one statistical test is required to test the hypothesis, as long as the test is appropriate and can provide enough evidence to either support or reject the hypothesis.

To test the hypothesis, we would need to perform a statistical test that can evaluate the relationship between MLTSRV, #EYECNT, and TIPAMT. The appropriate statistical test would depend on the nature of the data and the research question being asked.

For example, if the data is continuous and normally distributed, we could use a linear regression model to examine the relationship between the variables. Alternatively, if the data is categorical, we could use a chi-squared test to determine whether there is a significant association between the variables.

Regardless of the specific statistical test used, the goal would be to determine whether there is a statistically significant relationship between MLTSRV, #EYECNT, and TIPAMT. If the test provides evidence that there is a significant relationship, we could conclude that MLTSRV and #EYECNT are helpful in increasing TIPAMT.

If the test does not provide evidence of a significant relationship, we would reject the hypothesis and conclude that there is no evidence that MLTSRV and #EYECNT are helpful in increasing TIPAMT.

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Answer:

x = 45 ft

Step-by-step explanation:

\( x = \sqrt{ {36}^{2} + {27}^{2} } \\ = \sqrt{1296 + 729} \\ \sqrt{2025 } \\ = 45\)

Answer:-32.5

Step-by-step explanation: move x to the other side and solve

The coefficient of the third term in the given expression is -4

From the question, we are to determine the coefficient of the third term in the given expression.

A coefficient is the numerical value that is written along with a variable or it is multiplied by the variable.

The given expression is

5 – 2t3 – 4t3u3 + 8v

This can be properly written as

5 - 2t³ - 4t³u³ + 8v

The third term in this expression is - 4t³u³

In this term, the numerical value that is written along with the variable is -4

Hence, the coefficient is -4

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To find the volume under a surface and above a rectangle, use a double integral. Integrate the surface function over the rectangle and approximate using Riemann sums or numerical methods to obtain an estimate of the volume

To find the volume under a surface and above a rectangle in three-dimensional space using a double integral, we can follow these steps:

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The latest time for pickup, found by converting the 150 minutes maximum time provided by the school, from minutes to hours is about 5:45 pm

Minutes can be converted into hours by dividing the number of minutes by 60, which is the number of minutes in an hour.

The time that school ends = 3:15 pm

The latest time for pick up after school care = 150 minutes after school ends

Therefore, the latest time for pick up after school care = 3:15 pm + 150 minutes

60 minutes = 1 hour

150 minutes = (1/60) × 150 = 2.5

The latest for pick up = 3:15 pm + 2.5 hours = 5:45 pm

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Answer:

Nah fam its the other way round.... bru h whats ur question

Step-by-step explanation:

Answer:

It coincides by both being congruent

Step-by-step explanation:

The correct value is 720 ft of fencing.

Answer:

Max Area = 64800 sq.ft

Step-by-step explanation:

A square will always give us the maximum area.

Thus, one side would be;

720/4 = 180 feet

So, we want a square 180 ft by 180 ft

however, from the question, we are to use the creek as one side. So, we'll take the 180 ft that we don't need because of the creek and then add it to the opposite side to get 180 + 180 = 360 ft.

Thus,we now have a rectangle with dimensions: 180 ft by 360 ft

Area is given by;

area = length × width

Maximum Area = 180 × 360

Max Area = 64800 sq.ft

9514 1404 393

Answer:

  Function B has the greater initial value

  initial value for Function A is 4

  initial value for Function B is 6

Step-by-step explanation:

The initial value for function B is the constant in its equation: 6.

The initial value for function A is the y-value when x=0: 4

The initial value for Function B is greater.

Answer:

I'm honestly proud of myself for getting this right, the answer is 123.2

Step-by-step explanation:

14 x 8.8 x 2 divides by 2 and that's your answer pretty self-explanatory and simple

Answer: The diagonal line would have a negative slope

Step-by-step explanation:

Answer:

7√2

Step-by-step explanation:

Knowing that the angle is 45° (or π/4 radians) and the opposite leg has a length of 7,  you can find the length of b with:

7 / b = sin(π / 4)

7 / (sin(π / 4)) = b

b = 7 / (1 / √2)

b =7√2

A simpler way to get the answer is to note that a right triangle with one 45° angle must be an isoceles right triangle, so both legs are the same length. Using the Pythagorean Theorem:

a² + 7² = b²

Since we know a = 7,

7² + 7² = b²

b = √(2 * 49)

b = 7√2

Answer: A≈16.65

I hope this is good enough:

Answer:

(x−2)2+(y+1)2=100

Explanation:

the standard form of the equation of a circle is  

2 2 ( x − a ) 2 + ( y − b ) 2 = r 2 2 2  where  ( a , b )  are the coordinates of the center and r is  the radius  to find the center we require the  midpoint of the  2 given points  center  = [ 1 2 ( − 4+ 8 ) , 1 2 ( 7 − 9 ) ]  center = ( 2 , − 1 )  the radius is the distance from the center to either of  the 2 given points  calculate the radius using the  distance formula ∙  d = √ ( x2 − x 1 ) 2 + ( y 2 − y 1 ) 2  let  ( x 1 , y 1) = ( 2 , -1 )  and  ( x 2 , y 2 ) = ( − 4 , 7 ) r = √ = √ ( − 4 − 2 ) 2 + ( 7 + 1 ) 2 = √ 36 + 64 = 10 ⇒ ( x − 2 ) 2 + ( y − ( − 1 ) ) 2 = 10 2 ⇒ ( x − 2 )2 + ( y + 1 ) 2 = 100 ←  equation of circle