A cylindrical water tank near the town libary is 15 meters high and has a circumference of 85 meters. What is the approximate volume, to the nearest whole number, of the water tank?

Answer: 3 ≤ 47

Step-by-step explanation:

The inequality given is 3 ≤ 47.

To determine the solutions to this inequality, we need to find the values of x that satisfy the inequality.

Looking at the options provided:

x = 24: This is not a solution because 24 is less than 47.

x = 51: This is a solution because 51 is greater than or equal to 47.

x = 6: This is not a solution because 6 is less than 47.

x = 99: This is a solution because 99 is greater than or equal to 47.

Therefore, the solutions to the inequality 3 ≤ 47 are x = 51 and x = 99.

Answer:C

Step-by-step explana/

Answer:

(4x3) + (4x3) and (5x4) + (1x4)

Step-by-step explanation:

When you multiply 4 by 3 you get 12. And 12 + 12 is 24. 4 x 6 is 24 so then that is an answer. And 5 by 4 is 20 and 1 x 4 is 4 you add them you get 24.

Answer:

a ≤ 20

Step-by-step explanation:

a = number of lower vases, in $

3a = cost of a flower vases, in $

10 + 3a = = cost of $10 worth of flowers plus a vases

10 + 3a ≤ 70 says that the cost of Christine's flowers and vases purchase

must be less than, or at most equal to $70.

Subtracting  10 rom both sides of the inequalour

gives us an equivalent inequality

3a ≤ 70 - 10 <--->  3a ≤ 60

Multiplying (or dividing) both sides by a positive number

gives us an equivalent inequality, so

a ≤ 60/3  <---> a ≤ 20

The rejection regions are if F<0 or F>647.789, we reject \(H_{0}\)

Since F= 0.74 is between 0 and 647.789, we do not reject \(H_{0}\).

So, we can conclude that their variances are the same.

Let \(o1 ^{2}\) be the variance for the first cyclist

Let \(o2^{2}\) be the variance for the second cyclist

Null hypothesis: \(o1^{2}=o2^{2}\)

Alternative hypothesis: \(o1^{2}\) not equal to \(02^{2}\)

The test statistic is

\(F= \frac{s1^{2}}{s2^{2}}\)

\(= \frac{23.8}{32.1}\)

\(= 0.74\)

Given \(a= 0.05\), the critical values are F(0.025, df1=1, df2=2)=0.00(From F table)

F(0.975, df1=1, df2=1)=647.789(from F table)

The rejection regions are if F<0 or F>647.789, we reject \(H_{0}\)

Since F= 0.74 is between 0 and 647.789, we do not reject \(H_{0}\).

So, we can conclude that their variances are the same.

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Answer:

11.9

Step-by-step explanation:

I think this is the answer

round 18.232 = 18.2

round 6.25 = 6.3

then 18.2-6.3 =11.9

I hope this helps, mark brainless if it's correct :)

The measure of ∠2 is 50 degrees.

Complementary angles are those angles whose sum of the measures of the angles is 90°.

Given that ∠1 is complementary to ∠2.

⇒ m∠1 + m∠2 = 90°

Also we have m∠4 = 40°

We have vertical angle theorem which states that when two lines intersect, the two pairs of angles formed which are opposite to each other are congruent angles.

Here ∠1 and ∠4 are vertical angles formed by two intersecting lines and thus they are congruent.

∠4 ≅ ∠1 ⇒ m∠4 = m∠1 ⇒ m∠1 = 40°

So, substituting m∠1 = 40° in the equation m∠1 + m∠2 = 90°, we get,

⇒ 40° + m∠2 = 90°

⇒ m∠2 = 90° - 40° = 50°

Hence it is proved that m∠2 = 50 degrees.

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Answer:

Using the substitution property of equality, 40° + m∠2 = 90 degrees. Finally, using the subtraction property of equality, m∠2 = 50°.

Hope this helps!

Step-by-step explanation:

Step-by-step explanation:

\( \frac{1}{6} = \frac{x}{174} \)

x = 174/6

= 29 pound person weight on the moon.

Respuesta: Es más probable sacar un mango.

Explicación:

La probabilidad se refiere a la posibilidad de que un evento occura y no otro. En el caso que se describe, la probabilidad de sacar cada fruta puede ser calculada dividiendo el total de cada fruta en el número de frutas totales:

Probabilidad de sacar un mango:

\(\frac{cantidad de mangos}{cantidad de frutas en la canasta}\) =  \(\frac{30}{50}\)  =\(0.6\)

Probabilidad de sacar una piña:

\(\frac{cantidad de pinas}{cantidad de frutas en la canasta} = \frac{20}{50}\) \(= 0.4\)

De acuerdo a lo anterior la probabilidad de sacar un mango es de 0.6 o de 60% (multiplica la probabilidad por 100 para saber su equivalente en porcentaje), mientras que la probabilidad de sacar un mango es de 0.4 o 40% lo cual es mucho más bajo. Es decir que es más probable sacar un mango.

Your answer is attached.

Hope it helps uh!

Answer: 25

Step-by-step explanation:

To find the greatest common factor of an number, you start by listing the factors of each number. The factor that appears the greatest amount of times is the greatest common factor.

175: 1,5,7,25,35,175.

75: 1,3,5,15,25,75.

25:1,5,25.

The number 25 in this case appears the most frequently, therefore the answer is 25.

The greatest common factor (GCF), of the given numbers 50, 75, and 150 is 25.

To find the GCF, we identify the common factors of the given numbers and then select the largest one. The common factors of 50, 75, and 150 are the numbers that divide each of them without leaving a remainder.

In this case, 25 is the largest number that divides all three numbers evenly.

50 = 2 × 5 × 5

75 = 3 × 5 × 5

150 = 2 × 3 × 5 × 5

Since 25 is present as a factor in all three numbers, it's the greatest common factor.

Therefore, The GCF of 50, 75, and 150 is 25.

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Then 1 - 3/5 = 2/5. This means that 2/5 of the frogs in that particular part of the rainforest are not poisonous. This fraction can also be expressed as 40/100 or 0.4 in decimal form.

In the given scenario, we know that 3/5 of the frogs in a particular part of the rainforest are poisonous. This means that the remaining fraction of the frogs are not poisonous.

To find this fraction, we need to subtract 3/5 from 1 (since the sum of the fractions of poisonous and non-poisonous frogs is equal to 1).

It's important to note that just because a frog is not poisonous, it doesn't mean it's safe to touch or handle them. It's always best to admire these beautiful creatures from a safe distance and leave them alone in their natural habitat.

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Answer:

1

Step-by-step explanation:

Mark the "number" as x.

6 times x plus 10 = x minus 5.

6x + 10 = x - 5.

Put the x's together:

5x = 5

Divide each side by 5 to leave the x alone:

x = 1

Perimeter of the parallelogram = 210 in.

Area of parallelogram = 2,484 in.²

Perimeter of parallelogram = 2(a + b), where a and b are its sides.

Area of parallelogram = (b)(h), where h is its height and b is the length of one of its bases.

Given:

a = 51 in.

b = 54 in.

h = 46 in.

Perimeter of the parallelogram = 2(54 + 51) = 210 in.

Area of parallelogram = (b)(h) = (54)(46) = 2,484 in.²

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The correct answer is A) The recipe will need 16 cups of sauce and three and a half teaspoons of oregano for 8 servings.

To determine the amount of sauce and oregano needed to make 8 servings, we can use the ratio of sauce to oregano from the table.

According to the table, for 3 servings, 6 cups of sauce are used along with 1 & 1/2 teaspoons of oregano. We need to find the ratio of sauce to oregano to scale it up for 8 servings.

Ratio of sauce to oregano:

6 cups of sauce / 1 & 1/2 teaspoons of oregano = 6/1.5 = 4 cups of sauce per teaspoon of oregano

Now, for 8 servings, we need to multiply the ratio by the number of teaspoons of oregano required:

8 servings * 1 teaspoon of oregano = 8 teaspoons of oregano

Therefore, for 8 servings, we would need:

8 teaspoons of oregano * 4 cups of sauce per teaspoon of oregano = 32 cups of sauce

Therefore, the correct answer is A) The recipe will need 16 cups of sauce and three and a half teaspoons of oregano for 8 servings.

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Answer:

126.9° and 323.°1

Step-by-step explanation:

I'll use x instead of theta and you can replace it by theta

5 sin x + 3 = 0

5 sin x = - 3

Sin x = - 3/5

Key angle = sin¯¹ 3/5 = 36.8698

Sin negative, so we use the third and fourth quadrants

X = 90+36.8698, 360-36.8698

X = 126.8698, 323.1302

Theta = 126.9°, 323.°1

The spreadsheet formula that would correctly calculate the average (mean) of the given values is: (25 + 50 + 75) / 3 = 50.

An average is a single number taken as representative of a list of numbers, generally the sum of the numbers divided by how many numbers are in the list (the arithmetic mean).

The formula to calculate the average of given numbers is equal to the sum of all the values divided by the total number of values. Average = Sum of Values / Number of Values.

So, in this case:

Values: 25, 50, 75

Number of Values: 3

Thus, the average:

Sum of Values / Number of Values = (25 + 50 + 75) / 3 = 50

Hence, the spreadsheet formula that would correctly calculate the average (mean) of the given values is: (25 + 50 + 75) / 3 = 50.

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6x-7= -1696

6x= -1689

x= -281.5

x − 7 = − 169

x= -162

Answer:

A. x-1 and x-5

Step-by-step explanation:

zeros are 1 and 5

so the factors are:

x-1 and x-5

Option A is correct

9514 1404 393

Answer:

   14,952,960 in

Step-by-step explanation:

  (236 mi)×(5280 ft)/(1 mi)×(12 in)/(1 ft) = 236×5280×12 in = 14,952,960 in

Answer:

236 mi =

14,952,960 inches

Explanation:

Use a conversion calculator

So on solving the provided question, we can say that  y= |x| makes a starlight line, this equation is a linear function.

Two distinct but related concepts are referred to as linear functions in mathematics. A polynomial function of degree 0 or 1 is a linear function in calculus and related subjects if its graph is a straight line. Any function that depicts a straight line on a coordinate plane is said to be linear. For instance, y = 3x - 2 is a linear function since it depicts a straight line on the coordinate plane. f(x) = 3x - 2 can be used to represent the function since f(x) can be linked to y.

equation represents a linear function is that polynomial function of degree 0 or 1 is a linear function in calculus and related subjects if its graph is a straight line.

so, here  y= |x| makes a starlight line, this equation is a linear function.

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A common aspect ratio for computer screens is 16:9, which means that for every 16 units of width, there are 9 units of height. This aspect ratio is also used on many televisions and mobile devices.

If a screen has an aspect ratio of 16:9, the width and height will be similar on all screens with this aspect ratio. However, the diagonal measurement will vary depending on the size of the screen.

Congruent screens are two or more screens that have the same dimensions. Two screens are congruent if and only if corresponding sides are equal and corresponding angles are equal. This can be proven using the postulates of congruence, such as the SSS (Side-Side-Side) postulate or the SAS (Side-Angle-Side) postulate.

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Answer:

The mark up percentage of the book is 603.35 percent with respect to its initial price.

Step-by-step explanation:

Given that a book costs $ 1.49 and is sold in a retail store for $ 8.99, in order to determine what is the percentage in mark up, the following mathematical operations must be performed:

(8.99 / 1.49) x 100 = X

6.0335 x 100 = X

603.35 = X

Thus, the mark up percentage of the book is 603.35 percent with respect to its initial price.

Answer:

the slope intercept form is   y = (1/2)x - 1

Step-by-step explanation:

The slope-intercept form is, y = mx + b

We see from looking at the graph that,

at x = 0, y = -1

So, from this we find that b = -1

at x = 2, y = 0,

now, we find the slope m,

using,

\(m = \frac{y_{2} -y_1}{x_2-x_1}\)

Using x_2 = 2, y_2 = 0,

x_1 = 0, y_1 = -1, we get,

m = (0-(-1))/(2-0)

m = 1/2

So, the slope intercept form is,

y = (1/2)x - 1

The answer fam is..... X = 6 - 2y, Y = 3 - x/2

You would expect to pay $90 each month for electricity based on an average usage of 120 KWHs per month.

To calculate the monthly cost of electricity, you can multiply the average number of kilowatt-hours (KWH) used per month by the cost per KWH.

Given:

Cost per KWH: $0.75

Average monthly usage: 120 KWHs

To find the monthly cost, you can multiply the cost per KWH by the average monthly usage:

Monthly Cost = Cost per KWH * Average monthly usage

Plugging in the values, we have:

Monthly Cost = $0.75/KWH * 120 KWHs

Calculating the result:

Monthly Cost = $90

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Answer:

Width  = 166.7 ft

Length = 250 ft.

Step-by-step explanation:

From the diagram at the ATTACHMENT

Let us denote the the length of the rectangular area as "x" and

the width of the rectangular area as "y"

Since, cost of the fence on the western side is shared with a neighbor, we can say  it is $7 per foot. Otherwise, it is $14 per foot. The northern length is not fenced.

From the question, we know that the  cost is not to exceed $7000, therefore we can expressed it as

7y + 14x + 14y = 7000

14x + 21y = 7000

Divide through by 14, we have

(x + 1.5) = 500  ------------- eqn (*)            

But the area of the fenced

= A = (x×y)      -------------- eqn  (**)                    

Substitute (*) into (**) we have

A = (500 - 1.5y)*y

= 500y - 1.5y²

In other to maximize the Area, we can find the differential of A

A'(y) = 500 - 3y

At A'(y) = 0.

500-3y= 0

3y=500

y= 166.67 ft

From eqn(*)

(x+ 1.5) = 500

x = 500 - 1.5y

500-1.5(166.67)

= 250ft

Therefore, the dimensions for the plot that would enclose the most area are

Width  of 166.67 ft and Length = 250 ft.

Answer:

1. 0.1795

2. 0.1693

3. 0.1657

4. 0.1606

Step-by-step explanation:

This problem was solved using the binomial distribution

1.

N = 30

P = 6/30 = 0.2

Using binomial distribution

30C6 x 0.2⁶ x 0.8²⁴

= 593775 x 0.000064 x 0.004722

= 0.1795

2.

N = 60

P = 6/60 = 0.1

60C6 x 0.1⁶ x 0.9⁵⁴

= 50063860 x 0.000001 x 0.00338139

= 0.1693

3.

N = 100

100C6 x 0.06⁶ x 0.94⁹⁴

= 1192052400 x 0.000000046656 x 0.00297864

= 0.1657

4.

Poisson distribution was used here

e^-6(6)⁶/6!

= 0.1606