the nelson family put in a circular swimming pool with a radius of 4 meters
. Which term best describes the circumference of the swimming pool in meters. an irrational number greater than 24, an irrational number less than 24, a rational number greater than 24 or a rational number less than 24

Answer:

25

Step-by-step explanation:

From the given information;

Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.

= 1000x

Thus, the required number of hours it will take can be computed as:

\(\implies \dfrac{100000}{1000x} \\ \\ =\dfrac{100}{x}\)

cost per hour = 125

If each plate costs $20 to make, then the total number of plate will equal to 40x

∴

The total cost can be computed as:

\(C(x) = (\dfrac{100}{x}) \times 125 + 20 x --- (1)\)

\(C'(x) = (-\dfrac{12500}{x^2}) + 20 --- (2)\)

At C'(x) = 0

\(\dfrac{12500}{x^2} = 20\)

\(\dfrac{12500}{20} = x^2\)

\(x^2= 625\)

\(x = \sqrt{625}\)

x = 25

\(C'' (x) = -12500 \times \dfrac{-2}{x^3} +0\)

\(C'' (x) = \dfrac{25000}{x^3}\)

where; x = 25

\(C'' (x) = \dfrac{25000}{25^3}\)

C''(x) = 1.6

Thus, at x = 25, C'' > 0

As such, to minimize the cost, the printer needs to make 25 metal plates.

The mean absolute deviation is $106.6.

Given the table shows the amount Bill spent on 5 days last week.

DayAmount12622313126534To find the mean of the amount he spent: The formula for calculating the mean of a given set of values is mean=∑x/n where x represents the values, n represents the number of values, and ∑x represents the sum of the values.

Mean=total sum of values/total number of values Mean=(26+23+31+26+534)/5Mean=640/5Mean=128So,

the mean of the amount he spent is $128.To find the mean absolute deviation: The mean absolute deviation (MAD) is the average distance between each data value and the mean. MAD shows how much the data set deviates from the mean. The formula for calculating the MAD is MAD=∑|xi−m|/n where xi represents the values, m represents the mean, and n represents the number of values. So, the calculation for each day is:

Day Amount Absolute deviation from mean1 26 |128-26|=102 23 |128-23|=105 31 |128-31|=974 26 |128-26|=102 534 |128-534|=406

The sum of all absolute deviations is:

10+10+97+10+406=533The mean absolute deviation (MAD) is: MAD=533/5=106.6So.

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Answer:

Step-by-step explanation:

The formula for determining distance is expressed as

Distance = speed × time

From the information given,

Speed of boat = 10 miles per hour

It means that the distance that the boat covered after t hours is 10 × t = 10t miles

Since the boat is 100 miles away from the marina and it is sailing directly towards it, then the equation for the distance of the boat from the marina after t hours is

Distance = 100 - 10t

Answer:2045

Step-by-step explanation:

Answer:

2045

Step-by-step explanation:

Answer:

Undefined.

Step-by-step explanation:

Answer:

for first question the answer will be .. 5

Step-by-step explanation:

easily,

\( \frac{1}{5} \times 5 = 1 \)

There are \(6\frac{1}{4}\) groups of 1/5 in 5.

The simplified value of  5 ÷ 4/5 is also \(6\frac{1}{4}\).

A number line is a one-dimensional horizontal line where we can represent any real number. The origin of the number line is represented by zero left to it are all negative real numbers and right to it are all positive real numbers.

From the bar given above the number line, each group has subgroups of 4.

Therefore, The number of groups of (1/5) in 5 is \(6\frac{1}{4}\) groups.

We know when a fraction is in the division we can reciprocate the fraction and the division changes to multiplication,

Therefore, 5 ÷ 4/5 = 5×5/4 = 25/4 = \(6\frac{1}{4}\)

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Answer:

Adjacent angles

Step-by-step explanation:

Answer:

0.333...

Step-by-step explanation:

6×8=48

48÷9=5.333...

(The ... means repeating)

With a 12% housekeeping gratuity, the hotel bill for 4 nights comes to $891.52.

"A method to find a single unit value from a multiple unit value and to find a multiple unit value from a single unit value."

We always count the unit or amount value first and then calculate the more or less amount value.

For this reason, this procedure is called a unified procedure.

Many set values ​​are found by multiplying the set value by the number of sets.

A set value is obtained by dividing many set values ​​by the number of sets.

According to our question-

Total cost = Bill before tip + Tip

Total cost = $796 + $95.52

Total cost = $891.52

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Answer:

9.3*10^11

Step-by-step explanation:

4/3πr^3=9.3*10^11

Answer:

Just some background:

Congruent means that a triangle has the same angle measures and side lengths of another triangle.

SAS congruence theorem: If two sides and the angle between these two sides are congruent to the corresponding sides and angle of another triangle, then the two triangles are congruent. Congruent triangles: When two triangles have the same shape and size, they are congruent.

Let's look at A first.

The triangle on left, we know 40 and 30 degree angles. So 3 all angles together = 180, so the 3rd angle = 180-30-40 = 110.

Now look at the triangle on the right. The angle shown is 110! This angle is between the sides marked with || and ||| marks, indicating that those two sides are the same length between both triangles.

Therefore both triangles are the same by Side-Angle-Side or SAS.

Now look at B.

It's a right triangle. We are missing 1 side of each triangle.

Let's solve for the missing "leg" of the triangle on the right. The pythagorean theorem says that a^2 + b^2 = c^2 where a and b are the 'legs' or sides of the triangle and c is the hypotenuse (always the longest length opposite the right angle).

so 2^2 + b^2 = 4^2

4 + b^2 = 16

b^2 = 16-4

b^2 = 12

That missing side is the \(\sqrt{12}\).

This does NOT match the triangle on the left.

Theses two triangles are NOT congruent.

Answer:

Hence, the smallest interior angle of this octagon is 100

Step-by-step explanation:

Final answer 100

1. Revised Net Operating Income = $66,760

2. Revised Net Operating Income  =$64,640

3. Revised Net Operating Income  =$52,

1. If the sales volume increases by 40 units:

So, New Sales = 8,700 units + 40 units = 8,740 units

and, New Contribution Margin =

= $14.00 x 8,740 units

= 122, 360

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 122360 - 55600

= 66,760.

2. If the sales volume decreases by 40 units:

New Sales = 8,700 units - 40 units = 8,660 units

New Contribution Margin

= 14 x 8660

= 121,240

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 65,640

3. If the sales volume is 7,700 units:

New Sales = 7,700 units

New Contribution Margin

= 14 x 7700

= 107,800

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 52, 200

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Answer:

12

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

if that v is root symbol

Answer:

There are 40 apples in the basket.

This is because 5 apples to 3 pears have a difference of 1.66666667 when dividing 5 by 3 to show the ratio difference. Then, all you do is multiply this number by the number of total pears which would look like 24 x 1.66666667 = 40.

I hope this helped you, have an amazing day! :)

Answer:

1) 30 pounds is the weight of the bag all together

2) science book is the heaviest book

Step-by-step explanation:

bag=4 pounds

library book=2 pounds

maths book=2×4=8 pounds

science book=8×2=16 pounds

4+2+8+16=30 pounds all together

heaviest book= science book (16 pounds)

Answer:

The value is  \(P(X > 3.30) = 0.12405\)

Step-by-step explanation:

From the question we are told that

   The mean GPA is  \(\mu = 3.25\)

   The standard deviation is \(\sigma = 0.75\)

    The sample size is  n  =  300

Generally the standard error of mean is mathematically represented as

     \(\sigma_{\= x} = \frac{\sigma }{\sqrt{n} }\)

=>   \(\sigma_{\= x} = \frac{0.75}{\sqrt{300} }\)

=>   \(\sigma_{\= x} = 0.0433\)

Generally the  probability that a random sample of 300 students will have a mean GPA greater than 3.30 is mathematically represented as

     \(P(X > 3.30) = P(\frac{X - \mu}{\sigma_{\= x}} > \frac{3.30 -3.25}{ 0.0433} )\)

\(\frac{\= X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \= X )\)

    \(P(X > 3.30) = P(Z> 1.155 )\)

From the z table the probability of  (Z >  1.155 ) is

     \(P(Z> 1.155 ) = 0.12405\)

   \(P(X > 3.30) = 0.12405\)

Answer:

it is 34 that's the answer.

Step-by-step explanation:

Answer:

120 feet squared.

Step-by-step explanation:

If this is incorrect I apologize but I believe this is the correct answer.

Answer:

To solve for x, you can use the equation 6x = 5. This gives x = 5/6.

Answer:

500

Step-by-step explanation:

Improper fraction: 21/20
Mixed number: 1  1/20

The perimeter and area of the shape are 26 units and 21 units²

The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.

Perimeter is a math concept that measures the total length around the outside of a shape.

Find the length of the polygon

x = √3² +2²

x = √ 9+4

x = √13

= 7.2 units

y = √ 3² + 5²

y = √9+25

y = √34

y = 5.8 units

Perimeter = 2(x+y)

= 2( 7.2 + 5.8)

= 2 × 13

= 26 units

Area of triangle 1 = 1/2 × 6 × 2

= 6units²

Area of triangle 2 = 1/2 × 6 × 5

= 15 units

area of the polygon = 15 +6 = 21 units²

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Answer:

32 + 14 = 46

Step-by-step explanation:

Nothing much to explain here, just normal addition..

Answer:

The answer is "\(\frac{7\sqrt{3}}{2}\)"

Step-by-step explanation:

\(\to \sin 60^{\circ} = \frac{x}{7} \\\\\to x=\sin 60^{\circ} \times 7 \\\\\therefore \sin 60^{\circ} = \frac{\sqrt{3}}{2} \\\\\to x= \frac{\sqrt{3}}{2}\times 7 \\\\\to x= \frac{7\sqrt{3}}{2}\)

Answer:

16 x²

Step-by-step explanation:hope this helps and maybe you could give me a brainlist?

The mean of the sampling distribution is the average value of the mean of a large number of samples of the same size, taken from the same population. The symbol for the mean of the sampling distribution is usually represented by the Greek letter "mu" (μ). It is calculated as the sum of all the sample means divided by the number of samples.

The equation for the mean of the sampling distribution is given as:

μ = (1/n) * Σ x

where:

μ = mean of the sampling distribution

n = number of samples

Σ x = sum of the sample means

x = mean of each individual sample

The mean of the sampling distribution represents the center of the distribution and provides an estimate of the population mean. In this equation, the mean of each individual sample (x) is calculated first, and then those sample means are summed and divided by the number of samples (n) to find the mean of the sampling distribution (μ).

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Answer:

20

Step-by-step explanation:

19-44=25

45-64=19 25+19=44 44-64=20

Answer:

m=-1 (m is the slope)

Step-by-step explanation:

m=y2-y1/x2-x1

m=-1-4/2+3

m=-5/5

m=-1

Answer: without simplifying

12 cups 1 fluid ounces,

Step-by-step explanation: