How many whole numbers are less than k,If k is a whole number

The probability that at least one of the disks selected has a number greater than 24 is 127/343.

To find the probability that at least one of the disks selected has a number greater than 24, we can find the probability that all three disks have numbers less than or equal to 24 and subtract this from 1.

The probability that a disk selected from a container has a number less than or equal to 24

24/28= 6/7

Since,

there are 24 disks with numbers less than or equal to 24 out of a total of 28 disks in each container.

We can assume that the selection of a disk from one container is independent of the selection of a disk from another container, so the probability that all three disks selected have numbers less than or equal to 24 is (6/7)³

since we are making three independent selections.

Therefore,

The probability that at least one of the selected disks has a number greater than 24 is 1 - (6/7)³ ,

which simplifies to 343/343 - 216/343 = 127/343

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Answer:

5040 inches long

Step-by-step explanation:

how to solve the area for something you do the length times the width. so 84 times 60 is 5040.

Answer:

The answer to your problem is, 5040

Step-by-step explanation:

We can do this formula:

L x W = A

By using this formula we can find the answer.

Lets substitute some of the letters.

L = 84

W = 60

A = ? ( We are trying to find that )

Lets do the problem:

84 x 60 = ?

? = 5040. Which is our answer

Thus the answer to your problem is, 5040

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Answer:

2.838

Step-by-step explanation:

put it in the calculator.

Answer:

Step-by-step explanation:

If a customer is 48.282 years old, we would expect them to make approximately 19.52 claims in a given year.

According to the regression relationship provided by the insurance company, the number of claims per year is determined by the customer's age. The equation given is: (claims per year) = 0.217 * (age) + 9.04.

To find the expected number of claims for a customer who is 48.282 years old, we substitute the age value into the equation:

Claims per year = 0.217 * 48.282 + 9.04

Claims per year ≈ 10.48

Therefore, if a customer is 48.282 years old, we would expect them to make approximately 10.48 claims in a given year. The correct answer is option B.

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The area of the quadrilateral is 14 square centimeters.

The quadrilateral is made up of two triangles.

Area of a triangle is expressed as;

1/2 × base × height.

Given that;

For the upper triangle

For the lower triangle

The area of the quadrilateral will be the sum of the area of the two triangles.

Area of quadrilateral = Area of upper triangle + Area of lower triangle

Area of quadrilateral = ( 1/2 × 4 × 4 ) + ( 1/2 × 4 × 3 )

Area of quadrilateral = ( 2 × 4 ) + ( 2 × 3 )

Area of quadrilateral = ( 8 ) + ( 6 )

Area of quadrilateral = 14cm²

Therefore, the area is 14cm².

Option D) 14 square centimeters is the correct answer.

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Answer: x = 18

Step-by-step explanation:

1) 100% - 54.5% = 45.5%.

2) 45.5/100 = 0.455.

3) 0.455 * X = 8.19g.

4) x = 8.19/0.455.

5) x = 18.

The altitude of Polaris, also known as the North Star, refers to its angle above the horizon when observed from a specific location on Earth.

The altitude of Polaris varies depending on the observer's latitude.

For an observer at the North Pole (latitude 90 degrees), Polaris appears directly overhead, at an altitude of 90 degrees. This means Polaris is at the zenith, the highest point in the sky.

For observers at other latitudes in the Northern Hemisphere, Polaris will appear lower in the sky. The altitude of Polaris is equal to the observer's latitude. For example, if you are at a latitude of 40 degrees north, Polaris will have an altitude of approximately 40 degrees above the horizon.

It's important to note that the altitude of Polaris remains relatively constant throughout the night and throughout the year due to its proximity to the celestial north pole. This makes it a useful navigational reference point for determining direction and latitude in the Northern Hemisphere.

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Answer:

a) 190 - 70(2/3) = 430/3 = 143 1/3 degrees

b) 190 - (2/3)x = 120

70 = 2x/3

210 = 2x

Step-by-step explanation:

x = 105 minutes

Answer:

−x2+2x−1=0

Step-by-step explanation:

To write an equation in standard form, move each term to the left side of the equation and simplify.

ax2+bx+c=0

Move 1

to the left side of the equation by subtracting it from both sides.

2x−x2−1=0

Reorder the polynomial.

−x2+2x−1=0

Answer and Step-by-step explanation:

Standard form of an equation is as follows:

Ax + By = C

We have 2x, -\(x^{2}\), and a 1.

Subtract 1 from both sides.

\(-x^{2} + 2x - 1\) = 0 is the equation in standard form.

#teamtrees #PAW (Plant And Water)

Answer:

5.5p + 5 ≤ 60

10 pounds

Step-by-step explanation:

a) The maximum total cost he can spend is $60.

5.5 * p + 2 * 2.5 ≤ 60

Simplify.

5.5p + 5 ≤ 60

b) Solve 5.5p + 5 ≤ 60

Subtract 5 from both sides

5.5p ≤ 55

Divide both sides by 5.5

p ≤ 10

So, the maximum he can buy is 10 pounds of food

The function that represents the total cost f(x) to send a letter that is x ounces can be calculated as follows:

$$f(x) = \begin{cases} 0.5 & \text{if } x = 1\\ 0.5 + 0.42(x-1) & \text{if } x > 1\end{cases}$$

Therefore, the correct options are:a) $f(x) = 0.5 + 0.42(x-1)$b) $f(x) = 0.5$

The total cost to send a letter that is 1 ounce is $0.50, and the total cost to send a letter that is 3 ounces is $0.92. Since the postal service calculates the weight to the whole ounce, if we send a 2-ounce letter, we can consider it as sending two 1-ounce letters.

Therefore, the total cost of sending a 2-ounce letter will be twice the cost of sending a 1-ounce letter.

Let f(x) be the total cost to send a letter that is x ounces.

Then,f(1) = 0.50f(2) = 2f(1) = 2(0.50) = 1.00f(3) = f(2) + 0.42 = 1.00 + 0.42 = 1.42

Hence, we can represent the function as follows:

$$f(x) = \begin{cases} 0.5 & \text{if } x = 1\\ 0.5 + 0.42(x-1) & \text{if } x > 1\end{cases}$$

Therefore, the correct options are:a) $f(x) = 0.5 + 0.42(x-1)$b) $f(x) = 0.5$

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A relation that contains no repeating groups and has nonkey columns solely dependent on the primary key but contains determinants is in the third normal form (3NF).

In this form, every monkey column of the relation is determined by the primary key and has no transitive dependencies on any other monkey column. This means that every column in the relation is uniquely identified by the primary key, and there are no redundant data in the relation. Therefore, the relation is free from anomalies such as update, deletion, and insertion anomalies. The third normal form is considered the most commonly used normal form in the relational database design, and it ensures data integrity and consistency. In summary, a relation that meets the criteria mentioned in the question is in 3NF.

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Answer + Step-by-step explanation:

Example: =================

3D figure = rectangular prism

………………………………………………………………………………

Formula : =================

Volume of Rectangular Prism: V = lwh.

Surface Area of Rectangular Prism: S = 2(lw + lh + wh)

Brandon is currently 6 81 years old.

Let M be Michael's age and B be Brandon's age.

We are given that Michael is 3 33 times as old as Brandon. This means that M = 3 33 × B

We are also given that 18 1818 years ago, Michael was 9 99 times as old as Brandon. This means that M - 18 1818 = 9 99 × (B - 18 1818).

We can combine these two equations to solve for Brandon's current age:

3 33 × B = (9 99 × B) + 18 1818

2 66 × B = 18 1818

B = 18 1818 / 2 66 = 6 81.

Therefore, Brandon is currently 6 81 years old.

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(a) The equation to model the situation is y = -3300x + 33000.

(b) The altitude of the plane after 5 minutes is 16,500 feet.

(a)  Let's break down the linear equation step by step. We are given that the plane starts at an altitude of 33,000 feet and descends at a rate of 3,300 feet per minute.

The variable x represents the number of minutes elapsed, and y represents the altitude of the plane at that time. Since the plane is descending, the altitude decreases over time.

In a linear equation, the general form is y = mx + b, where m is the slope and b is the y-intercept.

In this case, the slope represents the rate of descent, which is -3300 feet per minute. The negative sign indicates a decrease in altitude. The y-intercept represents the starting altitude of 33,000 feet.

Therefore, the equation to model the situation is y = -3300x + 33000.

(b) The altitude of the plane after 5 minutes is 16,500 feet.

To find the altitude of the plane after 5 minutes, we substitute x = 5 into the equation.

y = -3300(5) + 33000

 = -16500 + 33000

 = 16500 feet

After 5 minutes, the altitude of the plane is 16,500 feet.

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Answer:

The plant grows approximately 1.25 in. per day.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using the formula for calculating Amount;

Amount = Principal + Interest

Interest = Principal * Rate * time/100

For Annabelle:

Interest = 600*2*6/100

Interest = 6*2*6

Interest = $72

Amount after 6 years = $600 + $72 = $672

For Caroline:

Interest = 400*3*6/100

Interest = 4*3*6

Interest = $72

Amount after 6years = $400+$72 = $472

Hence Annabelle account will have more in it after 6 years.

Taking the difference in their amount = $672-$472 = $200

Hence Annabelle will have $200 more than Caroline in her account after 6 years

Answer:

To solve this problem, we will use the fact that sin (90 - θ) = cos θ for any angle θ. Therefore, we can rewrite the equation as:

sin (4x + 3)° = sin (90 - (8x + 10))°

Using the identity sin (90 - θ) = cos θ, we get:

sin (4x + 3)° = cos (8x + 10)°

sin (4x + 3)° = sin (80 - 8x)°

Now we have two cases to consider:

Case 1: 4x + 3 = 80 - 8x

Solving for x, we get:

12x = 77

x = 6.42

Case 2: 4x + 3 = 180 - (80 - 8x)

Solving for x, we get:

12x = 257

x = 21.42

Therefore, the solutions are x = 6.42 and x = 21.42.

a)  The volume of paint left in the can is:

.878 gallons * 0.00378541 m^3/gallon = 0.003321 m^3

b)  the thickness of the layer of wet paint is 0.000242 meters or 0.242 millimeters (since there are 1000 millimeters in a meter).

(a) To convert gallons to cubic meters, we need to know the conversion factor between the two units. One U.S. gallon is equal to 0.00378541 cubic meters. Therefore, the volume of paint left in the can is:

0.878 gallons * 0.00378541 m^3/gallon = 0.003321 m^3

(b) We can use the formula for the volume of a rectangular solid to find the volume of wet paint needed to coat the wall evenly:

Volume = area * thickness

We want to solve for the thickness, so we rearrange the formula to get:

Thickness = Volume / area

The volume of wet paint needed is equal to the volume of dry paint needed since they both occupy the same space when the paint dries. Therefore, the volume of wet paint needed is:

0.003321 m^3

The area of the wall is given as:

13.7 m^2

So the thickness of the layer of wet paint is:

0.003321 m^3 / 13.7 m^2 = 0.000242 m

Therefore, the thickness of the layer of wet paint is 0.000242 meters or 0.242 millimeters (since there are 1000 millimeters in a meter).

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The cutoff point for the number of minutes at which the customer should be contacted is 696 minutes

To calculate the upper fence for the monthly phone use data, we need to first find the quartiles.

Step 1: Arrange the data in order from smallest to largest

307, 335, 336, 341, 371, 375, 380, 395, 413, 424, 440, 465, 467, 489, 510, 512, 515, 521, 521

Step 2: Find the median

The median is the middle value of the data set. If the data set has an odd number of values, the median is the middle value. If the data set has an even number of values, the median is the average of the two middle values.

In this case, we have an even number of values, so we take the average of the two middle values

Median = (413 + 424)/2 = 418.5

Step 3: Find the first quartile (Q1)

The first quartile is the median of the lower half of the data set. To find Q1, we first find the median of the lower half:

Lower half: 307, 335, 336, 341, 371, 375, 380, 395, 413

Median of lower half = (371 + 375)/2 = 373

Step 4: Find the third quartile (Q3)

The third quartile is the median of the upper half of the data set. To find Q3, we first find the median of the upper half:

Upper half: 424, 440, 465, 467, 489, 510, 512, 515, 521, 521

Median of upper half = (489 + 510)/2 = 499.5

Step 5: Calculate the interquartile range (IQR)

The interquartile range is the difference between Q3 and Q1

IQR = Q3 - Q1 = 499.5 - 373 = 126.5

Step 6: Calculate the upper fence

The upper fence is defined as Q3 + 1.5 × IQR

Upper fence = Q3 + 1.5 × IQR = 499.5 + 1.5 × 126.5 = 695.75

Therefore, the cutoff point for the number of minutes at which the customer should be contacted is 696 minutes (rounded to the nearest minute).

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The given question is incomplete, the complete question is:

The following data represents the monthly phone use, in minutes, of a customer enrolled in a fraud prevention program for the past 20 months.

The phone company decides to use the upper fence as the cut off Point for the number of minutes at which the customer should be contacted. What is the cutoff point. round to the nearest minutes.

424 307 413 371

467 341 335 521

510 375 512 336

521 489 465 380

515 440 395 450

The equation represents the total cost of turkey and amount is y= 3.25x.

We have,

The turkey costs $3. 25 per pound.

let x be the amount in pounds and y be the total cost in dollar.

Then, the relation between x and y

Total cost = 3.25 (amount in  poind)

y = 3.25 x

Thus, the required equation is y= 3.25x.

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Answer:

i have the same question

Step-by-step explanation:

i have the same question

Answer:

=3.14×10x10

=3.14×100cm2

=3.14cm2

=2 ×3.14×10

=6.28cm

Or =Pi d

= 3.14 ×20cm

=62.8cm

R means radius

D means diameter

radius is half of a diameter e.g radius is10 and diameter is 20

I can recommend you watching yt videos it helped me alot

hoo this helps:)

Answer:

21

Step-by-step explanation:

x + 5 = 26........put like terms together by transposing 5 to the side where 26 is. Don't forget to change its sign ( from positive to negative

x = 26 - 5..... subtract 5 from 26

x = 21

The distance of the flowerbed to the hive is 864 feet.

The resulting displacement between two places is defined as distance. It is sometimes referred to as a line segment. It is determined using the conventional distance formula. This allows for the examination of the characteristics like intercepts and slope.

Calculate the time and distance using the provided inputs, as per the question.

Here, the common formula for speed is applied: Distance times speed (Time)

Let's assume that the distance is now d.

Thus, it takes d/12 seconds to go directly from a flower bed to a hive.

Likewise, it takes d/8 seconds to go from the flower bed to the hive.

And the bee spent a total of: 22-19 = 3min. = 180 seconds.

The formula is now expressed as follows: d/12 + d/8 = 180 20d = (180)(12)(8) =(9)(96) d= 864 feet.

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Answer: A, B

Step-by-step explanation:

Answer:

5.047 and 5.009

el gato?

Answer:0

Step-by-step explanation:

Adding the same number together with one being negative will result in a 0.

Answer:

32√3

Step-by-step explanation:

area = product of diagonals/2

= (8√3 × 8)/2

= 64√3 /2

= 32√3