Suppose that a person rolls two balanced dice three times in succession. Determine the probability that on each of the three rolls, the sum of the two numbers that appear will be 11.

Answer:  99-99=0

Step-by-step explanation:

   432,234   432-234=  

   198,891   891-198 =693

   693,396   693-396 =297

   297,792   792-297= 495

   495,594   594-495=99

   99-99=0

false :) thats ur answer

The linear optimization problem is to maximize the objective function 250x + 150y, subject to the constraints x + y ≤ 60, 3x + y ≤ 90, and 2x + y > 30, where x and y are both greater than or equal to 20.

The feasible region can be determined by graphing the constraints and finding the overlapping region that satisfies all the conditions. In this case, the feasible region is the area where the lines x + y = 60, 3x + y = 90, and 2x + y = 30 intersect. This region can be visually represented on a graph.

To find the corner points of the feasible region, we need to find the points of intersection of the lines that form the constraints. By solving the systems of equations, we can find that the corner points are (20, 40), (20, 60), and (30, 30).

The optimal solution and the optimal objective function value can be determined by evaluating the objective function at each corner point and selecting the point that yields the maximum value. By substituting the coordinates of the corner points into the objective function, we find that the maximum value is achieved at (20, 60) with an objective function value of 10,500.

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Answer:

To control an infection, a doctor prescribes a dosage of 200 mg of medicine every 8 hours for an infant weighing 12.1 lb. At this rate, what would the dosage be for an infant weighing 20.8 lb?

Step-by-step explanation:

ans :- 7.5 ml

Answer:

y= 4 x=0 (0,4)

Step-by-step explanation:

5x+y=4

-5x +y=4

the 5x would cancel out because they equal zero

2y=4

divide both sides by 2

y=4

put the y into one of the equations

5x +4 =4

subtract 4 from both sides

5x=0

divide five from both sides

x=0/5

so x=0

Step-by-step explanation:

5x+y=4 --> y=-5x+4

Plug this into the other equation:

-5x+(-5x+5)=4

Simplify:

-10x=1

x=-.1 (save this answer)

Plug into first simplified equation:

y=-5(-.1)+4

Solve:

y=4.5

(-.1 , 4.5)

Answer:

30 quarts

Step-by-step explanation:

4 quarts = 1 gallon

7.5 gallons * 4 quarts/ 1 gallon = 30 quarts

Answer: UR QUESTION HERE

Step-by-step explanation:

Answer:Domestic Stamps: 123

Foreign Stamps: 89

Step-by-step explanation:

So we have two equations

x - y = 34

x + y =212

Let's take the first equation and put it in terms of x

x-y+y= 34+y

x= 34 + y

Now that we have a value for x, substitute it into the second equation for x and solve for y.

(34+y)+y=212

34+y+y = 212

34+2y= 212

34-34+ 2y=212-34

2y= 178

2y/2=178/2

y= 89

Now that we know the value for y, we can substitute it into the first equation and solve for x.

x-89=34

X-89+89=34+89

X=123

Y= 89

X =123

ANSWER

Domestic Stamps: 123

Foreign Stamps: 89

Answer:

Step-by-step explanation:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

8 x 4 = (xtimes⋅7) − (xtimes⋅3)

Answer:

the simple interest formula is: A= P(1+rt)

A= 150,120

Step-by-step explanation:

Plug each number in the formula

Do 16.5/100 which is 0.165

A= 43,200(1+(0.165)(15))

To make it easier Use PEMDAS or BODMAS

You want to start with the numbers that are inside the parenthesis Multiplication comes first before addition.

So 0.165 x 15 is 2.475

Add the 1:

1+2.475= 3.475

Finally,

43,200(3.475) or 43,200 x 3.475

43,200 x 3.475= 150,120

To find the cross product between vectors u and v, denoted as uxv, you can use the formula:

uxv = |u| * |v| * sin(θ) * n

where |u| and |v| are the magnitudes of vectors u and v, θ is the angle between u and v, and n is a unit vector perpendicular to both u and v.

First, let's calculate the magnitudes of vectors u and v:

|u| = \(\sqrt{(-7)^2 + (-4)^2 + (-3)^2}\) = \(\sqrt{49 + 16 + 9}\) = \(\sqrt{74}\)

|v| = \(\sqrt{(5)^2 + (5)^2 + (3)^2}\) = \(\sqrt{25 + 25 + 9}\) = \(\sqrt{59}\)

Next, let's calculate the angle θ between u and v using the dot product:

u · v = |u| * |v| * cos(θ)

(-7)(5) + (-4)(5) + (-3)(3) = \(\sqrt{74}\) * \(\sqrt{59}\) * cos(θ)

-35 - 20 - 9 = \(\sqrt{(74 * 59)}\) * cos(θ)

-64 = \(\sqrt{(74 * 59)}\) * cos(θ)

cos(θ) = -64 / \(\sqrt{(74 * 59)}\)

Now, we can find the sin(θ) using the trigonometric identity sin²(θ) + cos²(θ) = 1:

sin²(θ) = 1 - cos²(θ)

sin²(θ) = 1 - (-64 / \(\sqrt{(74 * 59)}\))²

sin(θ) = sqrt(1 - (-64 / \(\sqrt{(74 * 59)}\))²)

sin(θ) ≈ 0.9882

Finally, we can calculate the cross product magnitude |uxv|:

|uxv| = |u| * |v| * sin(θ)

|uxv| = \(\sqrt{74}\) * \(\sqrt{59}\) * 0.9882

|uxv| ≈ 48.619

Therefore, the length of uxv is approximately 48.619.

As for the direction, the cross product uxv is a vector perpendicular to both u and v. Since we have not defined the specific values of i, j, and k, we can't determine the exact direction of uxv without further information.

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Answer:

that does not make sense

Step-by-step explanation:

The greatest common factor of the polynomial is 4y².

Polynomial is an equation written with terms of the form kx^n.

where k and n are positive integers.

There are quadratic polynomials and cubic polynomials.

Example:

2x³ + 4x² + 4x + 9 is a cubic polynomial.

4x² + 7x + 8 is a quadratic polynomial.

We have,

-12\(y^4\) + 8y³ - 4y²

Now,

Taking out the common factors.

4y² (-3y² + 2y - 1)

Now,

4y² is the common factor in the given polynomial.

Thus,

The greatest common factor of the polynomial is 4y².

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Answer:

D

Step-by-step explanation:

1/2 is the same as square root

the square of 8 is 2 root 2

then x squared is 2

and y is 2

16 is to the power of 1/4 is 2

The number of asset is 15.698.89

Assets = liabilities + equity

liabilities= 3,241.77

equity= 12,457.12

Assets= 3,241.77 + 12,457.12

=  15.698.89

Hence Lloyd has 15.698.89 number of assets

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Answer:

the answer is truly 61

We want to write in decimals the following fraction

To write this as a decimal number, first we need to convert the denominator to a power of 10. We can do that by multiplying both the numerator and denominator by 4.

Now, we just effectuate the division

0.76 is our answer.

Jane can select 80 different types of dinner consisting of 3 different items from 5 different vegetarian items and 4 different meat items available.

For finding the various combination of dinners available which has atleast one vegetarian item we will apply combination formula with the given data i.e., \(^{n} C_{r} = \frac{n!}{(n-r)!.r!}\)

A combination is a way of selecting items from a collection where the order of selection does not matter.

We will have to apply the formula separately for vegetarian and meat items.

Combinations available

A. 1 vegetarian item and 2 meat items              

    \(^{5} C_{1} and ^{4} C_{2}\)                                 (In combination "and" means to multiply)                                                                                        

   = \(\frac{5!}{(5-1)!.1!} . \frac{4!}{(4-2)!.2!}\)

   = \(\frac{5!}{(4)!.1!} . \frac{4!}{(2)!.2!}\)

   = \(\frac{5.4.3.2.1}{(4.3.2.1).(1)}. \frac{4.3.2.1}{(2.1).(2.1)}\)

   = 5.3.2

   = 5.6

   = 30

B. 2 vegetarian items and 1 meat item

    \(^{5} C_{2} and ^{4} C_{1}\)

   = \(\frac{5!}{(5-2)!.2!} . \frac{4!}{(4-1)!.1!}\)

   = \(\frac{5!}{(3)!.2!} . \frac{4!}{(3)!.1!}\)

   = \(\frac{5.4.3.2.1}{(3.2.1).(2.1)}. \frac{4.3.2.1}{(3.2.1).(1)}\)

   = 5.2.4

   = 10.4

   = 40

C. 3 vegetarian items and no meat item

   = \(^{5} C_{3} and ^{4} C_{0}\)

   = \(\frac{5!}{(5-3)!.3!} . \frac{4!}{(4-0)!.0!}\)

   = \(\frac{5.4.3.2.1}{(2.1).(3.2.1)}. 1\)

   = 5.2

   = 10

Now, we will add all the different combination

Total combinations = 30+40+10

                                = 80 different type of dinners

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The 98% confidence interval for the mean account valuation of the population of customers is between approximately $29,086 and $36,314.

To calculate the confidence interval, we can use the t-distribution since the population standard deviation is unknown and the sample size is relatively small (26 customers). With a 98% confidence level, we need to find the critical value from the t-distribution table. For a two-tailed test, the degrees of freedom would be n - 1, which is 26 - 1 = 25.

Using the t-distribution table or statistical software, we find that the critical value for a 98% confidence level with 25 degrees of freedom is approximately 2.787.

Next, we can calculate the margin of error, which is obtained by multiplying the critical value by the standard error of the mean. The standard error of the mean (SE) is given by the sample standard deviation divided by the square root of the sample size. In this case, SE = 9000 / √26 ≈ 1766.088.

The margin of error is then 2.787 * 1766.088 ≈ 4917.936.

Finally, we can construct the confidence interval by subtracting and adding the margin of error to the sample mean. The lower bound of the confidence interval is the sample mean minus the margin of error: 32700 - 4917.936 ≈ 29,086. The upper bound is the sample mean plus the margin of error: 32700 + 4917.936 ≈ 36,314.

Therefore, the 98% confidence interval for the mean account valuation of the population of customers is approximately $29,086 to $36,314.

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Answer:

940 people did the survey of of all the 970

Answer:940

The number of the students were surveyed in total are 1000.

A percentage is a number or ratio that represents a fraction of 100.

Given that, in a survey 970 said their favorite color was purple which is 97% of the survey, we need to find the number of the students were surveyed in total,

Let the number of the total student be, x,

Therefore, using the concept of percentage, we will have,

Therefore, 970 students out of x who love purple color, that are 97% of the whole,

Therefore,

97 % of x = 970

97 / 100 × x = 970

x = 970 × 100 / 97

x = 1000

Therefore, the total students are 1000.

Hence, the number of the students were surveyed in total are 1000.

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After baking the cookies there will be fractional number 1 3/4 cups of flour will be left.

What is fraction?

Fraction is a part of any whole number. If an object or any thing will be divided into some parts then the parts will be the fraction of the whole thing. There are two parts in a fraction one is numerator another is denominator. Some examples of fractions are 5/2, 7/9 etc.

The quotient Larissa has 4 1/2 cups of flour. She is making cookies using a recipe that calls for 2 3/4 cups of flour.

So the total amount of flour is 4 1/2 cups = 9/2 cups which is a fraction.

The recipe calls for 2 3/4 cups of flour= 11/4 cups which is also a fraction.

Subtracting two fractional terms we will get the result.

            9/2- 11/4

The least common multiple between 9/2 and 11/4 is 4

So using the subtraction property of  fraction  we get   \(\frac{18-11}{4}\)  = 7/4

The fraction 7/4 is equivalent to 1 3/4.

Hence , after baking the cookies 1 3/4 cups of flour will be left.

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Answer:12.59

Step-by-step explanation:

enter image source here

From the diagram you can see that we have constructed a right triangle, with height A and base 15.

Length of shadow = 15 feet.

Height of flagpole = A.

We know the angle of elevation is

40

∘

. Using this angle and the tangent ratio, we can find A.

tan

(

40

∘

)

=

opposite

adjacent

=

A

15

∴

tan

(

40

∘

)

=

A

15

Rearranging:

A

=

15

tan

(

40

∘

)

By calculator:

A

=

12.59

feet. ( 2 d.p.)

The estimated probability that the candidate obtains a score greater than or equal to 10 is 0.7234, rounded to four decimal places, so the answer is (A).

The number of correct answers that the candidate gets is a binomial random variable with parameters n = 40 (number of trials) and p = 1/5 (probability of success). We want to find the probability that the candidate gets a score greater than or equal to 10, which is equivalent to getting 10 or more questions correct.

Using the normal approximation to the binomial distribution with continuity correction, we can approximate the distribution of the number of correct answers by a normal distribution with mean μ = np = 40 * 1/5 = 8 and variance σ^2 = np(1-p) = 40 * 1/5 * 4/5 = 6.4.

To find the probability that the candidate gets 10 or more questions correct, we can standardize the normal distribution and use the standard normal distribution table or R to find the probability.

Let X be the number of correct answers. Then, we have:

P(X >= 10) = P((X - μ) / σ >= (10 - μ) / σ)

= P(Z >= (10 - 8) / sqrt(6.4)), where Z is a standard normal random variable.

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Answer:

1

Step-by-step explanation:

Answer:

any number between 1 and 8

Answer:

(4,4)

Step-by-step explanation:

The intersection point of 10y-11x=-4 and -2y+3x=4 is (4,4) on a graph.

As per linear equation, the solution of the given system of equations is x = 4, y = 4.

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."

Given system of linear equation is:

10y - 11x = - 4 ......(1)

- 2y + 3x = 4​ ......(2)

Multiplying the equation (1) by 1 and Multiplying the equation (2) by 5 and then add both equations, we get:

   10y - 11x = - 4

+  (- 10y) + 15x = 20

-------------------------

    4x = 16

⇒ x = 4

Now, substituting the value of 'x' in the equation (2), we get:

- 2y + 3(4) = 4

⇒ - 2y + 12 = 4

⇒ - 2y = 4 - 12

⇒ - 2y = - 8

⇒ y = 4

Therefore, the solution of the given system of equations is x = 4, y = 4.

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Answer:

coefficients

Step-by-step explanation:

5.3 and 8.2 are coefficients since they are in front of an x and a y.

x and y are called variables.

any number on its own, ie without an x or y, is called a constant

The linear correlation coefficient for a sample is always b) between -1 and 1, inclusive

The linear correlation coefficient (also known as Pearson's correlation coefficient) is a measure of the strength and direction of the linear relationship between two variables.

It ranges from -1 to 1, with negative values indicating a negative correlation (inverse relationship), positive values indicating a positive correlation (direct relationship),

And a value of zero indicating no correlation between the variables.

The answer is (b) between -1 and 1, inclusive

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Answer:

9,999,909,009

Step-by-step explanation:

plz mark me brainliest. :0

Answer:

it does not equal the same

Step-by-step explanation:

but heres ur answer 9999909009

Answer:

  a³ +b³ = (a +b)(a² -ab +b²)

Step-by-step explanation:

The patterns for factoring the sum and difference of cubes are similar. The sign of the second term in each factor is reversed from one pattern to the other.

  a³ -b³ = (a -b)(a² +ab +b²)

  a³ +b³ = (a +b)(a² -ab +b²) . . . . . pattern for factoring sum of cubes

Answer:

x = 11

Step-by-step explanation: