how many 5 digit numers including leading zeros are there with exactly one 8 and no digit appearing exactly three times

Answer:

b<4

Step-by-step explanation:

- 3b-5> - 8 or b - 4 < 0

Solve the first inequality

- 3b-5> - 8

Add 5 to each side

- 3b-5+5> - 8 +5

-3b> -3

Divide by 3, flipping the inequality

-3b/-3 < -3/-3

b <1

Then solve the second inequality

b-4<0

Add 4 to each side

b<4

Put them back together

b<1 or <4

Merge them since they overlap

b<4

To find all real values of x such that f(x) = 0 for the function f(x) = (x^2 + 2x - 3)/(x - 1), follow these steps:

Step 1: Set the function equal to 0:
(x^2 + 2x - 3)/(x - 1) = 0

Step 2: Since a fraction is equal to 0 only if its numerator is 0, set the numerator equal to 0:
x^2 + 2x - 3 = 0

Step 3: Solve the quadratic equation using the quadratic formula or factoring. In this case, factoring works:
(x + 3)(x - 1) = 0

Step 4: Set each factor equal to 0 and solve for x:
x + 3 = 0 -> x = -3
x - 1 = 0 -> x = 1

However, x = 1 creates a denominator of 0 in the original function, so it is not a valid solution.

Your answer: The real value of x such that f(x) = 0 is x = -3.

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Answer:

2 miles

Step-by-step explanation:

1/6 × 12 = 2

You can work it as fractions to understand better

1 over 6 × 12 over 1. It's the same as 12÷6

With a $1 bet on three numbers, you can expect to win $12.33. So, the expected winnings for a $1 bet on three numbers in a roulette wheel is approximately $0.95.

Here's how to calculate it:
- There are 38 possible outcomes on the roulette wheel (1 through 36, 0, and 00).
- Your bet covers 3 of those outcomes, so your probability of winning is 3/38.
- The payout for a winning bet is $1 plus another $11, for a total of $12.
- To find your expected winnings, multiply the probability of winning by the payout:
  (3/38) x $12 = $0.947
- Rounded to the nearest cent, that's $0.95.
So with a $1 bet on three numbers, you can expect to win about $0.95 each time, on average. Over many bets, your total winnings will approach $12.33.

In order to calculate the expected winnings from a $1 bet on three numbers in a roulette wheel, we can follow these steps:
1. Determine the probability of winning the bet. In a roulette wheel with 38 numbers (1-36, 0, and 00), you bet on three numbers, so the probability of winning is 3/38.
2. Determine the amount you would win if your bet is successful. Since the bet pays 11 to 1, you would get back your original $1 plus another $11, for a total of $12.
3. Multiply the probability of winning by the amount you would win. This will give you the expected winnings for a single $1 bet:
(3/38) * $12 = $0.947
So, the expected winnings for a $1 bet on three numbers in a roulette wheel is approximately $0.95 (rounded to the nearest cent).

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Answer:

China's top ten famous flowers are: the queen of flowers - plum blossom, the king of flowers - peony, frost blooming - chrysanthemum, gentleman's flower - orchid, the queen of flowers - rose, blooming flowers - Rhododendron, delicate flowers - camellia, water hibiscus - lotus, ten miles of fragrance - osmanthus, Lingbo fairy - daffodil 10 kinds of precious and beautiful local flowers.

Plum blossom is known as the "top ten famous flowers in China". These ten kinds of flowers respectively contain different levels of Chinese spiritual and cultural deposits, with profound and strong historical connotation. They are unique in the flower industry, marking the extraordinary significance of Chinese traditional culture. However, among China's top 10 traditional famous flowers, only the plum blossom, osmanthus and lotus have international registration rights.

Answer:

The answer is 1/56 simplified

Step-by-step explanation:

Step-by-step explanation:

\( \frac{7}{8} - \frac{6}{7} = \frac{7 \times 7 - 6 \times 8}{7 \times 8} \\ \\ \frac{49 - 48}{56} = \frac{1}{56} \)

Answer:

$25

Step-by-step explanation:

you just subtract 25 from 50 since 25 is half of 50.

Answer:

75

Step-by-step explanation:

15 divided by .20 = 75

Answer:

The value of variable x = 12

Step-by-step explanation:

Given:

Given triangle is an equilateral triangle

Side of given triangle = 10 unit

Angle S = 5x°

Find:

The value of variable x

Computation:

We know that each angle of an equilateral triangle is 60°

So,

Angle S = 60

By putting value of angle S

5x = 60

The value of variable x = 60 / 5

The value of variable x = 12

The vertex of the graph is located at the point (-4, -7).

The quadratic function f(x) = 3x^2 + 24x + 41 can be rewritten in the form f(x) = 3(x + 4)^2 - 7. This form, known as vertex form, allows us to easily identify the vertex of the graph. The vertex (h, k) corresponds to the values that complete the square in the equation. In this case, h = -4 and k = -7. Therefore, the vertex of the graph is located at the point (-4, -7). The coefficient "a" in the equation determines whether the parabola opens upward or downward, and in this case, since a = 3, the parabola opens upward.The given quadratic function is f(x) = 3x^2 + 24x + 41. To write it in the form f(x) = a(x - h)^2 + k, we need to complete the square.

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Answer:

14

Step-by-step explanation:

First we substitute x for 6 and y for 2.4

4(6+2.4)

______    -> 33.6 / 2.4 -> 14

  2.4

If a student is ranked in the 85th percentile on their college entrance exams, it means that they scored better than 85% of the other students who took the same exam.

In other words, only 15% of the students who took the exam scored higher than this student. This is a good achievement and suggests that the student is likely to be competitive in the college application process.

A percentile is a statistical metric that shows the proportion of a dataset's values that are equal to or lower than a given value. For instance, the dataset's 75th percentile implies that 75% of the values are equal to or lower than that number.

In the case of the request for the "percentile 100 words," it appears to be a misunderstanding or an incomplete query. In order to produce a useful response, the term "percentile" often needs more details, such as the dataset or the particular value of interest. Could you please elaborate on your point or make your inquiry more clear?

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Answer:

Divide your interest rate by the number of payments you'll make in the year (interest rates are expressed annually). ...

Multiply it by the balance of your loan, which for the first payment, will be your whole principal amount.

Step-by-step explanation:

Divide your interest rate by the number of payments you'll make in the year (interest rates are expressed annually). ...

Multiply it by the balance of your loan, which for the first payment, will be your whole principal amount.Divide your interest rate by the number of payments you'll make in the year (interest rates are expressed annually). ...

Multiply it by the balance of your loan, which for the first payment, will be your whole principal amount.Divide your interest rate by the number of payments you'll make in the year (interest rates are expressed annually). ...

Multiply it by the balance of your loan, which for the first payment, will be your whole principal amount.Divide your interest rate by the number of payments you'll make in the year (interest rates are expressed annually). ...

Multiply it by the balance of your loan, which for the first payment, will be your whole principal amount.Divide your interest rate by the number of payments you'll make in the year (interest rates are expressed annually). ...

Multiply it by the balance of your loan, which for the first payment, will be your whole principal amount.

The estimated probability of the spinner landing on blue is 0. This means the spinner will not land on blue.

Probability is the measure of how likely an event is to occur out of the number of possible outcomes. It is expressed in terms of a number between 0 and 1, where 0 means that the event is impossible and 1 means the event is certain. Probability is used to calculate the likelihood of an event or outcome in a variety of situations, from predicting the weather to playing the lottery.

The estimated probability of the spinner landing on blue can be calculated by using the ratio of the frequency of red to the frequency of green.

As the ratio is 4 : 7, the frequency of red is 4/11 of the total frequency of 100 spins. The frequency of green is 7/11 of the total frequency of 100. Therefore, the frequency of blue is 100-(4/11+7/11) which is 1 – (11/11) = 0.

Therefore, the estimated probability of the spinner landing on blue is 0. This means the spinner will not land on blue.

To calculate the estimated probability, first we need to calculate the total frequency of all the sections. This is done by adding all the frequencies of the sections together. In this case, the total frequency is 100. Then using the ratio of the frequency of red to the frequency of green, calculate the frequency of red and the frequency of green. Subtract the total frequency and the total frequency of red and green from the total frequency, to get the frequency of blue. Finally, divide the frequency of blue by the total frequency and convert it into a decimal. This will give us the estimated probability of the spinner landing on blue.

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Answer:

10

Step-by-step explanation:

When a point falls outside of control limits in statistical process control, the probability is quite high that the process is experiencing special cause variation.

In statistical process control (SPC), control limits are used to define the range within which a process is expected to operate under normal or common cause variation. Common cause variation refers to the inherent variability of a process that is predictable and expected.

On the other hand, special cause variation, also known as assignable cause variation, refers to factors or events that are not part of the normal process variation. These are typically sporadic, non-random events that have a significant impact on the process, leading to points falling outside of control limits.

When a point falls outside of control limits, it indicates that the process is exhibiting a level of variation that cannot be attributed to common causes alone. Instead, it suggests the presence of specific, identifiable causes that are influencing the process. These causes may include equipment malfunctions, operator errors, material defects, or other significant factors that introduce variability into the process.

Therefore, when a point falls outside of control limits in statistical process control, it is highly likely that the process is experiencing special cause variation, which requires investigation and corrective action to identify and address the underlying factors responsible for the out-of-control situation.

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False. If ∠CAB > 90°, then △ABC is an obtuse triangle, which means that the measure of angle ∠C is greater than 90°.

Since the sum of the angles in a triangle is always 180°, it follows that angles ∠A and ∠B are acute angles, with measures less than 90°.

Now, suppose that point D is a point on side AB of △ABC. It is not necessarily true that CB > CD > CA. The only thing we can say for certain is that CD is less than AB, since D is a point on AB.

Depending on the location of point D on side AB, any of the three sides could be the longest, the shortest, or in between the other two. For example, if point D is very close to point A, then AD could be the longest side, while if D is very close to point B, then BD could be the longest side. Therefore, we cannot make any general statement about the relative lengths of the sides of △ABC based solely on the fact that ∠CAB > 90° and D ∈ AB.

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Nikola took 2 hours to finish the swimming part

Nikola took 4.5 hours to finish the running part

A form of arithmetic in which the rules of arithmetic are used to combine letters that represent numbers.

Calculations:

Assume,

\(t=time\;in\;hrs\;to\;complete\;swimming\;part\)

\(6.5-t=time\;in\;hrs\;to\;complete\;running\;part\)

\(d=distance\;in\;km\;that\;he\;swam\)

\(73.5-d=distance\;in\;km\;that\;he\;ran\)

Equation of swimming part,

\(d=3t\)

Equation of running part.

\(73.5-d=15\times(6.5-t)\)

Substitute the value of d in running part equation,

\(73.5-3t=15\times(6.5-t)\)

\(73.5-3t=97.5-15t\)

\(12t=24\)

Therefore,

\(t=2\)

\(Time\;to\;complete\;summing\;part=t\)

\(Time\;to\;complete\;summing\;part=2\;hours\)

\(Time\;to\;complete\;summing\;part=6.5-t\)

\(Time\;to\;complete\;summing\;part=6.5-2\)

\(Time\;to\;complete\;summing\;part=4.5\;hours\)

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Answer:

a)

new length: 100ft

new width: 60ft

new area: 6000ft

b) 6

c) 9

Step-by-step explanation:

a)

length: 50ft x 2 = 100ft

width: 20ft x 3 = 60ft

area (length x width): 100ft x 60ft = 6000ft

b) 6000ft ÷ 1000ft = 6

c) 27 ÷ 3 = 9

Answer:

AHHHHHH

Step-by-step explanation:

If f(x) has a constant term of -4 and h(x) has a constant term of 3, then g(0) is -3 ÷ 4.

It is an equation that is based on several input variables to determine the output based on the input variables.

The price of y apples will be $xy if the price of one apple is $x.

The result in this case is the overall cost, which is dependent on the variables x and y as previously demonstrated.

All of the equations are polynomial functions, hence linear exponents will be used to organize the variables and constants.

Then,

The constant term of f(x) is equal to -4, which is the term that is independent of all variables.

In mathematics, f(0) = 4.

The reason for this is that when x = 0, all of the variable terms disappear, leaving just the constant term.

H(x) has a constant term of 3, which is a term that is independent of all variables.

Mathematically,

h(0) = 3

h(x) = f(x) × g(x)

h(0) = f(0) × g(0)

3 = −4 × g(0)

g(0) = -3 ÷ 4

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Answer:

Step-by-step explanation:

Step 1:

Step 2:

Pull out like factors:

Solution to this question:

Answer:

2x-3y

Step-by-step explanation:

-1/4×-8x= 8/4x = 2x

-1/4×12y= - 12y/4 = -3y

2x-3y

Answer:

x=2

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

-3x - 1x + 5 = -3                    1. Combine like terms

 -4x + 5 = -3                         2. Subtract 5 from both sides

       -5      -5

       -4x = -8                         3. divide -4 from both sides

      /-4     /-4                         4. You have your answer

            x = 2

Have a nice day

Answer:

1. y= -2/5x+3

2. y= 3x-2

3. y= -1/2+0

Step-by-step explanation:

The formula for a linear equation is y=mx+b with

m=slope

and b= the y-intercept.

The ways that the exercise can be expressed such that for every 6 squares there are 3 circles include:

This question is asked in Spanish on an English site so the answer will be provided in English for better learning by other students.

The ratio of squares to circles is 6:3 or simplified, 2:1. This means for every 2 squares, there is 1 circle.

You could also use a proportional statement such that the number of squares is twice the number of circles. For every 6 squares, there are 3 circles.

There is also equation form where we can say, if S is the number of squares and C is the number of circles, the relationship could be expressed as S = 2C. This means the number of squares is twice the number of circles.

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The translated question is:

How to express this exercise for every 6 squares there are 3 circles.

The perimeter of triangle JKL is  determined as 68 units.

The perimeter of triangle JKL is calculated as follows;

The perimeter of triangle JKL is the sum of all the distance round the triangle.

Perimeter = length JK + length LK + length JL

AL = CL = 12

Length LK = CL + CK = 12 + 8 = 20

JA = JB = 14

KB = CK = 8

Length JK = JB = KB = 14 + 8 = 22

Length JL = JA + AL = 14 + 12 = 26

The perimeter of triangle JKL is calculated as;

Perimeter = 20 + 22 + 26

Perimeter = 68 units.

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Answer:

I believe this is the answer you are looking for:

x3-6x2-7x

Step-by-step explanation:

Answer:

The maximum price for the pizza is $3.59

Step-by-step explanation:

Add up all the prices, which will get you to $18.41

Then subtract 18.41 from 22 and you should get 3.59 (22 - 18.41 = 3.59)

Answer:

22 - 2.79 - 9.12 - 6.50 = 3.59

maximum cost of pizza $3.59