You have three dice in your pocket, one is 4 -sided and two are 6-sided. You randomly select two of the dice, roll them, and record the sum. a. What's the probability the sum is 7 ? b. Given that the sum of the dice is 7 , what's the probability both dice are 6 -sided?

Answer:

the horizon is at zero

across the horizon

The production schedule for maximum profit is; X = 3 and Y = 6 with a maximum profit of $960

We are told that  two products X and Y, has a total production capacity of 9 tones per day, X and Y requiring the same production capacity

The firm has a permanent contract to supply at least 2 tones of X and at least 3 tones of Y per day to another company.

Let product A be x and product B be y. Therefore we have the following inequalities and constraints as;

x + y ≤ 9

x ≥ 2

y ≥ 3

Now, we are told that each tonne of A requires 20 machine hours of production time and each tonne of B requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. Thus, we have;

20x + 50y ≤ 360

Wea re told that all the firm's output can be sold and the profit made is $80 per tonne of A and $120 per tonne of B. Thus, we have the inequality as;

Z = 80x + 120y  maximize

The solution from the graph attached is;

x = 3, y = 6

Thus, the maximum profit is;

Z = 80(3) + 120(6)

Z = 960

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Answer: Answer: 2000 was invested into 6%, 5000 was invested Into 8%

Step-by-step explanation:

8% of 5000 = 400

6% of 200 = 120

Answer:

14

Step-by-step explanation:

The angles created by the diagonals of a rhombus add up to 360 meaning each one is 90 degrees

5x+20 = 90

subtract 20 from both sides

5x = 70

divide by 5 on both sides

x=14

Answer:

-2y + 3 + \(\frac{9}{3y - 4}\)

Step-by-step explanation:

         In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x,

        So in other words, a logarithm is the power to which a number must be raised in order to get some other number . For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2. because. 102 = 100.

Hope this helps. Have a good day!

Answer:

2√2 units.

Step-by-step explanation:

To find the length of the line joining points A(3, 5) and B(1, 3), we can use the distance formula. The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Substituting the coordinates of points A and B into the formula, we have:

d = sqrt((1 - 3)^2 + (3 - 5)^2)

  = sqrt((-2)^2 + (-2)^2)

  = sqrt(4 + 4)

  = sqrt(8)

  = 2sqrt(2)

Therefore, the length of the line joining points A and B is 2√2 units.

Answer

5x + 10y = 25    x=1  y=2

2x + 12y = 18    x=3  y=1

plz mark brainliest

also plz try to answer this question

Answer: Ned received 86 Points overall on the test and Ned lost 24 points overall on his test.

Step-by-step explanation: Ned got 19 questions correct and 6 questions incorrect. He as well got 10 bonus points for answering a bonus question correctly. We know each of the questions on the test (excluding the bonus question) is worth 4 points.

If Ned got 19 questions correct that means 19 x 4 = he received 76 points.

If Ned got 6 questions incorrect that means 6 x 4 = he lost 24 points.

If Ned got 1 question correct that is worth 10 points, that means he got an additional 10 points to his score.

We can add the amount of points Ned scored to the amount of bonus points he earned; 76 + 10 = 86 points total on his test.

Answer:

Ned received 86 Points on the test and Ned lost 24 points on his test.

There are 9,000 numbers that have 7 in the thousands of places and are less than 54,000.

Consider the possible digits in the hundreds, tens, and one's places.

Thousands of places: There is only one possibility, which is 7.

Hundreds place: Any digit from 0 to 9 is possible.

Tens place: Any digit from 0 to 9 is possible.

One place: Any digit from 0 to 9 is possible.

Since the number is less than 54,000, the digit in the hundreds place cannot be 5.

So, there are 9 possible digits (0 to 9, except 5) for the hundreds place, and 10 possible digits (0 to 9) for the tens and one's places.

So, the total number of such numbers is:

9 x 10 x 10 x 10 = 9,000

Therefore, there are 9,000 numbers that satisfy the given condition.

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The general form representation of the polynomial which is as described in the task content is; f(x) = 4x³ + 38x² + 24x - 360.

It follows from the task content that the Polynomial in discuss has;

Therefore, the factored form of a polynomial can be written as follows;

P(x) = a (x - p) (x - q) (x - r) where p, q and r are the roots of the polynomial and a is the leading coefficient.

Since the factors of the polynomial f(x) are; (x + 6), (x + 6) and (x - 5/2).

Hence, the polynomial f(x) in discuss can be written as follows;

f(x) = 4 (x + 6) (x + 6) (x - 5/2)

f(x) = (x + 6) (x + 6) (4x - 10)

f(x) = 4x³ + 38x² + 24x - 360

Therefore, the required polynomial in standard form is; f(x) = 4x³ + 38x² + 24x - 360.

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The steps are shown below:

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

given:

-4x + 27/ 3 < 5

On solving for x

-4x < 5-27/3

-4x + 27/3 - 27/3 < 5 - 27/3

-4x/4< -12/3*4

(-1)9(-x) < -(-4)

x>1

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Answer:

(1,-1)

Step-by-step explanation:

\( \large{ \begin{cases} y = 2x - 3 \\ y = - x \end{cases}}\)

Since both are y-isolated equation. We can combine both.

\( \large{2x - 3 = - x}\)

Since we want to solve for x-term, we need to isolate x-term.

So we move from -x which is the right side to x.

\( \large{2x - 3 + x = 0} \\ \large{3x - 3 = 0} \\ \large{3x = 3} \\ \large{x = 1}\)

But we are not done yet. Solving system of equations, you must solve for y-term as well. (Because we have to answer in ordered pairs which are (x, y))

Substitute x = 1 in any given equations but I will substitute x = 1 in y = -x

\( \large{y = - x} \\ \large{y = - 1}\)

Since we have got y-value. Therefore the answer is (1,-1)

Answer:

40 1/2 or 40.5

Step-by-step explanation:

i used a calculator

The general solution to x squared dy over dx equals 3 plus 2y is given by 1/2 ln|3 + 2y| = -1/x + c, where c is an arbitrary constant.

To calculate this, we begin by taking the derivative of both sides of the equation with respect to x. We then rearrange the equation to yield 2y + x^2 dy/dx = 3. We divide both sides by x^2 so that dy/dx is isolated on one side of the equation, yielding dy/dx = (3 - 2y) / x^2. We can then integrate both sides of the equation, with respect to x, to yield 1/2 ln|3 + 2y| = -1/x + c, where c is an arbitrary constant. This equation is the general solution to x squared dy over dx equals 3 plus 2y.

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\(\huge\boxed{\boxed{Hello\;there!}}\)

The first step in solving this inequality is getting rid of the denominator.

Now, please remember this: Whatever we do to one side, we do to the other.

So, we can't just multiply x by 6. We multiply both sides by 6:

x≤6*4

x≤24

\(\huge\boxed{\mathfrak{Answer:{\sf{x\leq 24}}}}\)

\(\huge\bold{Hope\;it\;helps\;you!}\)

\(\rm{Have\;a\;great\;day!\)

\(\boxed{An\;AmiableTeen\;who\;is\;still\;enjoying\;life}\)

I believe the expression you provided is:

(log(x) + 4x^3) / x

To find the discontinuities of this expression, we need to identify any values of x that would cause the expression to be undefined. These values are called the discontinuities.

There are two types of discontinuities to look for:

Removable discontinuities: These occur when a function is undefined at a certain point but can be made continuous by redefining the function at that point.

Non-removable discontinuities: These occur when a function is undefined at a certain point and cannot be made continuous by redefining the function at that point.

To find the discontinuities of the given expression, we need to look for values of x that would make the denominator equal to zero, as this would result in a non-removable discontinuity.

So we solve the equation:

x = 0

This means that x cannot be equal to zero, as it would make the denominator zero and the expression undefined.

Therefore, the only discontinuity of the expression is at x = 0.

Note that there are no removable discontinuities in this expression, as the expression is continuous everywhere except at x = 0.

The expressions which Marika can use to find the total cost of the dinner, including the tip are:

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In order to write and solve this word problem, we would assign a variable (x) to the cost and then evaluate the resulting algebraic expression. Therefore, let x represent the cost.

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The simplest definition of point-slope form is a line equation expressed using a single line point and the line's slope.

When the line to be examined's slope is known, and the provided point also serves as the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). B stands in for the y value of the y-intercept point in the formula.

An equation for a line stated using a single point on the line and the line's slope is a straightforward definition of point-slope form.

The slope is defined as the rise over run, or the proportion of the change in the y values over the change in the x values, and the point form is denoted by the letters (x,y).

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Answer:

11.4pounds

Step-by-step explanation:

(5.58+4.68)÷0.90

＝11.4(pounds)

Answer:

The domain would be the first number in the ordered pair. In this case, 4,5 and 9 are the domains.

Step-by-step explanation:

Answer:

The proportion of bricks that crack during the firing process is 0.0001 = 0.01%.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean of 925 and a standard deviation of 60 degrees.

This means that \(\mu = 925, \sigma = 60\)

The proportion of bricks that crack during the firing process is closest to

This is 1 subtracted by the pvalue of Z when X = 1150. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{1150 - 925}{60}\)

\(Z = 3.75\)

\(Z = 3.75\) has a pvalue of 0.9999

1 - 0.9999 = 0.0001

The proportion of bricks that crack during the firing process is 0.0001 = 0.01%.

Answer:

I think it's d. C and D

Step-by-step explanation:

it needs to be 20 characters long so don't mind this part

Answer: is B. table A and Table B

Step-by-step explanation:

The probability that it is raining and the flight is delayed is 0.011, or approximately 0.011 rounded to the nearest thousandth.

Let's use the formula for calculating the probability of the intersection of two events: P(A and B) = P(A) × P(B|A), where P(B|A) is the probability of event B occurring given that event A has occurred.

Let A be the event that it is raining, and B be the event that the flight is delayed. We are looking for P(A and B).

We know that:

P(A) = 0.1 (the probability that it will rain)

P(B) = 0.11 (the probability that the flight will be delayed)

P(not A and not B) = 0.88 (the probability that it will not rain and the flight will leave on time)

We can use the complement rule to find P(A or B):

P(A or B) = 1 - P(not A and not B)

P(A or B) = 1 - 0.88

P(A or B) = 0.12

Now we can use the formula for the intersection of two events:

P(A and B) = P(A) × P(B|A)

We know that P(A) = 0.1, and we need to find P(B|A), the probability of the flight being delayed given that it is raining.

We can use Bayes' theorem to find P(B|A):

P(B|A) = P(A and B) / P(A)

P(B|A) = (P(A) × P(B|A)) / P(A)

P(B|A) = P(B and A) / P(A)

We can rearrange this to get:

P(A and B) = P(B|A) × P(A)

Substituting the values we know:

P(B|A) = P(A and B) / P(A)

0.11 = P(A and B) / 0.1

P(A and B) = 0.11 × 0.1

P(A and B) = 0.011

Therefore, the probability that it is raining and the flight is delayed is 0.011, or approximately 0.011 rounded to the nearest thousandth.

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Answer:

a)......1+2=90 degree.....

so,x+x-20=90=2x=110

x=55degree

Step-by-step explanation:

b)let it be a triangle....angle1=56

2=y

3=29....by vertically opposite angles

by ext angle property... x= 1+3=56+29= 85

Answer:

55 degrees is the answer

Answer:

x>4

I would explain but the last time I did brainly took it down

Answer:

{x|x < -4 or x > 4} I just did this question this was the correct answer good luck guys!

Answer:

0.32 ounces of chocolate per mold

Step-by-step explanation:

Answer:

the correct answer is 3.125

Step-by-step explanation:

\(\huge\text{Hey there!}\)

\(\large\text{When you hear/see the word of in mathematics, it usually means }\\\large\text{\bf multiplication. }\)

\(\large\text{So, when you think of think of the word \underline{of} think of its asking you to}\\\large\text{\bf multiply }\)

\(\large\text{Now that we got that run down out of the way lets answer your given}\\\large\text{question}\)

\(\large\textsf{0.25\% of 2,000}\)

\(\large\textsf{= 0.25\%} \times \large\textsf{2,000}\)

\(\large\textsf{0.25\%} = \mathsf{\bf \dfrac{25}{100}}\)

\(\mathsf{= \dfrac{25}{100} \times 2,000}\)

\(\mathsf{\dfrac{25}{100}= \bf 0.0025}\)

\(\large\textsf{= 0.0025} \times \large\textsf{2,000}\)

\(\large\text{= \bf 5}\)

\(\boxed{\boxed{\huge\text{Therefore, your ANSWER is: \textsf 5}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

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