Hello! Can someone help me, please? Thank you so much!

Topic: possibility.

How many double digit numbers are there where the two digits are different from each other ?

The inequality given by (x/3) + 5 ≥ 1/6 has the solution x ≥ -29/2 or [-29/2 , +∞).

Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.

To solve an inequality is to find the values of x such that when we substitute that number for x we have a true statement.

Given the inequality (x/3) + 5 ≥ 1/6, subtract 5 from both sides.

(x/3) + 5 - 5 ≥ 1/6 - 5

x/3 ≥ -29/6

Multiply both sides by 3.

3(x/3) ≥ 3(-29/6)

x ≥ -29/2

To check, let x = -29/2

x = -29/2 ≥ -29/2

Substitute this value to the inequality.

(x/3) + 5 ≥ 1/6

(-29/2)/3 + 5 ≥ 1/6

1/6 ≥ 1/6

let x = -14,

x = -14 ≥ -29/2

Substitute this value to the inequality.

(x/3) + 5 ≥ 1/6

-14/3 + 5 ≥ 1/6

1/3 ≥ 1/6

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Answer:

108

Step-by-step explanation:

Answer:

one hundred sixty five thousand and three hundred

Step-by-step explanation:

Hey there!

\(165300\) is in standard form.

This is because it is not in scientific notation, in which it would be \(1.653 * 10^4\).

Hope it helps and have a great day!

The matrix which represents R with respect to standard coordinates is -

\(\left[\begin{array}{ccc}cos(17)^{o} &sin(17)^{o}&0\\-sin(17)^{o}&cos(17)^{o}&0\\0&0&1\end{array}\right]\)

Given is that R : R → R* be the rotation with the properties. The axis of rotation is the line L, spanned and oriented by the vector v = (3,-1,3). R is rotated about L through the angle t = 17 according to the Right Hand Rule

We have θ = 17°.

The given cartesian vector is -

3i - j + 3k

We can write the matrix as -

\(\left[\begin{array}{ccc}cos(17)^{o} &sin(17)^{o}&0\\-sin(17)^{o}&cos(17)^{o}&0\\0&0&1\end{array}\right]\)

So, the matrix which represents R with respect to standard coordinates is -

\(\left[\begin{array}{ccc}cos(17)^{o} &sin(17)^{o}&0\\-sin(17)^{o}&cos(17)^{o}&0\\0&0&1\end{array}\right]\)

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Explanation:

I'm going to relabel the figure as triangle ABC.

As the instructions mention, we'll use the law of cosines to find the missing side.

Use these facts to find side c

c^2 = a^2 + b^2 - 2*a*b*cos(C)

c^2 = 147^2 + 166^2 - 2*147*166*cos(50)

c^2 = 17794.393497

c = sqrt(17794.393497)

c = 133.395628

c = 133

Answer:

y=7/9x + 8

Step-by-step explanation:

i just used desmos to find it

Answer:

29 degrees

Step-by-step explanation:

alternate interior angles are equal

The measure of angle LMQ in the parallelogram LMNQ is 29 degrees

From the diagram, we have the following parameters

Also, from the diagram, angles MQN and LMQ are alternate interior angles

This means that, both angles are congruent

So, we have:

\(\angle LMQ = \angle MQN\)

This gives

\(\angle LMQ = 29^o\)

Hence, the measure of angle LMQ in the parallelogram LMNQ is 29 degrees

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If a circle is divided into five equal parts, the total angle measure of one part is 360°/5 = 72°. This is because there are 360 degrees in a circle, and dividing the circle into five equal parts means dividing the circle into 5 sectors, each having an equal angle.

The formula to find the angle of a sector in a circle is:θ = (n/360) × 2πrwhere:θ = angle of the sector n = number of parts the circle is divided into r = radius of the circle Using the formula above, we can find the angle of each sector as:θ = (1/5) × 2πrθ = (2π/5)r To find the measure in degrees, we convert radians to degrees as follows:θ = (2π/5) × (180/π)θ = 72°Therefore, the total angle measure of one part is 72 degrees.

This is because there are 360 degrees in a circle, and dividing the circle into five equal parts means dividing the circle into 5 sectors, each having an equal angle. This is because there are 360 degrees in a circle, and dividing the circle into five equal parts means dividing the circle into 5 sectors, each having an equal angle.

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Answer:

⇛11/12, 7/8, 1/4, 14/-15, 15/-16

Step-by-step explanation:

Given numbers are 7/8, 11/12, 15/-16, 1/4,14/-15

The denominators = 8,12,16,4,15

LCM of the denominators = 240

7/8 = (7/8)×(30/30) = 210/240

11/12 = (11/12)×(20/20) = 220/240

15/-16 = (-15/16)×(15/15) = -225/240

1/4 = (1/4)×(60/60) = 60/240

14/-15 = (-14/15)×(16/16) = -224/240

Descending order of the numbers

= 220/240, 210/240, 60/240, -224/240, -225/240

11/12, 7/8, 1/4, 14/-15, 15/-16

The value of c, given that P(z > c) = 0.0304 for a standard normal distribution with a mean of 0 and a standard deviation of 1, is approximately 1.89.

To find the value of c given P(z > c) = 0.0304, where z-scores are normally distributed with a mean of 0 and a standard deviation of 1, we can use the standard normal distribution table or a statistical calculator.

Using a standard normal distribution table, we need to find the z-score that corresponds to a cumulative probability of 0.0304 in the upper tail. This means we need to find the value of c such that P(z > c) = 0.0304.

From the standard normal distribution table, we look for the closest probability value to 0.0304, which is 0.0306. The corresponding z-score is approximately 1.89.

Therefore, c ≈ 1.89.

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Answer:

48

Step-by-step explanation:

72 is full time.

To find 2/3, we can just multiply them.

72 * 2/3 = 144/3 = 48

A batch of 900 parts has been produced and a decision is needed whether or not to 100% inspect the batch. Past history with this part suggests that the fraction defect rate is.

We have to determine the fraction defect rate. Given that a batch of 900 parts has been produced and a decision is needed whether or not to 100% inspect the batch. Also, past history with this part suggests that the fraction defect rate is. Let the fraction defect rate be p.

The sample size, n = 900.Since the value of np and n(1-p) both are greater than 10 (as a rule of thumb, the binomial distribution can be approximated to normal distribution if np and n(1-p) are both greater than 10), we can use the normal distribution as an approximation to the binomial distribution. The mean of the binomial distribution,

μ = n

p = 900p

The distribution can be approximated as normal distribution with mean 900p and standard deviation .

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An equivalent system of equations to the given system equations are 5Fx+5Gy=5H and Qx+Ry=S. Therefore, option C is the correct answer.

Equivalent system of equation is that system of equations in which solution does not change. If a constant multiplied on both sides of an equation then solution of equation remain same.

The given system of equations are Fx+Gy=H and Qx+Ry=S.

A) 5Fx+5Gy=5H

First equation is multiplied by 5 but the value remains same as original equation Fx+Gy=H

Second equation Qx−Ry=S is not same as original equation Qx+Ry=S

B) First equation 5Fx+Gy=5H is not same as original equation Fx+Gy=H

Second equation Qx+5Ry=S is not same as original equation Qx+Ry=S

C) First equation 5Fx+5Gy=5H is multiplied by 5 but the value remains same as original equation Fx+Gy=H

Second equation Qx+Ry=S is same as the original equation Qx+Ry=S

D) First equation Fx+5Gy=5H is not same as original equation Fx+Gy=H

Second equation Qx+Ry=S is same as the original equation Qx+Ry=S

An equivalent system of equations to the given system equations are 5Fx+5Gy=5H and Qx+Ry=S. Therefore, option C is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

Choose an equivalent system of equations to the following system:

Fx+Gy=H

Qx+Ry=S

A. 5Fx+5Gy=5H

Qx−Ry=S

B. 5Fx+Gy=5H

Qx+5Ry=S

C. 5Fx+5Gy=5H

Qx+Ry=S

D. Fx+5Gy=5H

Qx+Ry=S

Answer:

Step-by-step explanation:

D Thombus

Answer:

Answer A - (0,2), (2,-1)

Step-by-step explanation:

GRAPH FOR EQUATION GRAPHED BELOW

If we look at the graph it goes through points (0,2), (2,-1)

Answer:

Step-by-step explanation:

2/5x - 4/15 = -16/15

2/5x = -12/15

2/5x = -4/5

2x = -4

x= -2

The Answer is -2

When the math is done correctly, after implementing each of the 4 answers given we can see that -2 is the correct answe

(x - 4) =0

x - 4 = 0

x = 4

Answer:

8.33 is keeps repeating

Step-by-step explanation:

Answer:

x1 = 5-3squareroot 5/2 x2= -5+3 squareroot 5 / 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x + 8 = 8

Subtract 8 from both sides.

2x = 0

Divide both sides by 2.

x = 0

The required number, eight more than twice a number is eight, is 0.

Given that,
To find the number which is eight more than twice a number is eight.

The technique in computation to use and analyze the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

In mathematics, it vends on a number of procedures according to the declarations. There are four primary arithmetic operators, addition, subtraction, multiplication, and division,

Let the number be x,
The eight more than twice a number is eight. So,
8 = 2x + 8
2x = 0
x = 0

Thus, the required number, eight more than twice a number is eight, is 0.

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Answer:

Step-by-step explanation:

diameter of circle = 6 in

radius r = 3 inm

area of circle = πr² = 9π in²

area of rectangle = 25×6 = 150 in²

total area = (9π + 150) in² ≅ 178.3 in²

Given the recursive sequence: a(n) = -4 and a(n+1) = 3(a(n) + 2).

To find the first three terms of the sequence, we can use the recurrence relation to calculate each subsequent term based on the previous terms.

For n = 1, we have: a(1) = -4.

Using the recurrence relation, we can find a(2) as follows:

a(n+1) = 3(a(n) + 2)

Replacing n with 1, we have:

a(2) = 3(a(1) + 2)

a(2) = 3(-4 + 2)

a(2) = 3(-2)

a(2) = -6

Now, to find a(3), we repeat the process above using a(2) and the recurrence relation:

a(3) = 3(a(2) + 2)

a(3) = 3(-6 + 2)

a(3) = 3(-4)

Therefore, the first three terms of the recursive sequence are: a(1) = -4, a(2) = -6, and a(3) = -12.

Hence, the first three terms of the recursive sequence are -4, -6, and -12.

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Mean, Median, and Mode

Mean - Add all the numbers then divide by the number of numbers you added.

Median - The center of a set of numbers. (In a, b, c, d - b+c/2 is the median.)

Mode - The number that appears the most in a set of numbers.

They are called measures of center because they are statistics that describe the center of a set of data.

Desk checking is a manual debugging technique for verifying the logic of an algorithm. To desk check an algorithm, follow these steps:

Desk checking is a useful method for checking the logic of an algorithm before implementing it in code. It involves manually simulating the execution of the algorithm with specific input values and comparing the output obtained from the simulation with the expected output.

This helps to identify and fix errors in the algorithm before they cause problems in the code. Desk checking is particularly useful for simple algorithms, but it becomes less practical as the algorithm becomes more complex.

It is also a good practice to perform desk checking in combination with other debugging techniques, such as testing and code inspection, to ensure that the algorithm is correct and functioning properly.

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Answer:

20

Step-by-step explanation:

To determine the number of 9s between 1 and 100, we can consider the numbers from 1 to 99 since we want to exclude 100.

In the range from 1 to 99, we can observe the following patterns:

There is one 9 in each of the units' places (9, 19, 29, ..., 89, 99), giving us 10 occurrences.

There is one 9 in each of the tens' places (90, 91, 92, ..., 99), giving us 10 occurrences.

Therefore, there are a total of 10 + 10 = 20 occurrences of the digit 9 between 1 and 100.

Two rotten apple can be chosen by 3 ways for the sample when 3 apples are taken.

Given,

Number of apples in the basket = 9 apples

Number of rotten apples = 2 apples

Number of apples selected as sample = 3 apples

We have to find the number of ways can two rotten apples be chosen.

Here,

2 of 3 apples should be rotten.

Then,

That is,

Two rotten apple can be chosen by 3 ways for the sample when 3 apples are taken.

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Answer:

see below

Step-by-step explanation:

2 * $8.25 = $16.50

2 * $11.75 = $23.50

16.5+23.5= $40

40/100= 4

.4*8= 3.2

Tax will be $3.20

Total including tax is $43.20

Answer:

$10.83

Step-by-step explanation:

True. If, in a quadratic equation, ax^2 + bx + c = 0, the values of a and c have opposite signs, the solutions of the equation are indeed real numbers.

This is because the discriminant (Δ), which determines the nature of the roots, will be positive in this case. The discriminant is calculated using the formula Δ = b^2 - 4ac.

Since a and c have opposite signs, the product of -4ac will be positive. Therefore, when calculating the discriminant, you will be adding a positive value to b^2, resulting in a positive discriminant (Δ > 0).

A positive discriminant indicates that the quadratic equation has two distinct real number solutions, which can be found using the quadratic formula:

x = (-b ± √Δ) / 2a

In summary, if the values of a and c in a quadratic equation ax^2 + bx + c = 0 have opposite signs, the solutions of the equation will be real numbers, as the discriminant will be positive.

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