I will give 5 stars if you get this right and explain it What is 82% of 550?

(a)The population of interest is the entire university community at Botho University. (b)The sample is the random sample of 200 members. (c)The average time spent in the library, which is 30 minutes, is a statistic because it is computed from the sample and represents a characteristic of the sample, not the entire population.

a) The population of interest in this case would be the entire university community at Botho University. It includes all members of the university community who could potentially spend time in the library.

b) The sample in this case is the random sample of 200 members that was taken from the university community. It represents a subset of the population of interest and is used to make inferences about the larger population.

c) In this case, 30 minutes is a statistic, not a parameter.

A statistic is a value calculated from a sample that describes some characteristic of the sample. In this case, the average time spent in the library, which is 30 minutes, was computed from the sample of 200 members. It represents the average time spent in the library by the sampled members.

On the other hand, a parameter is a value that describes a characteristic of the population. Since the average time spent in the library is based on the sample and not the entire population, it cannot be considered a parameter.

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The products by factoring the tens are: 7 × 3 = 21, 7 × 30 = 210, and 7 × 300 = 2,100.

To find each product by factoring the tens, we need to separate the given number into its tens and ones place values, and then multiply the tens by the given factor.

7 × 3:

The number 7 has a tens place value of 0, so there are no tens to factor. To find the product, simply multiply 7 by 3:

7 × 3 = 21.

7 × 30:

The number 30 has a tens place value of 3.

To find the product, multiply 7 by 3:

7 × 3 = 21.

Since there is a tens place value of 3, we add a zero to the end:

21 + 0 = 210.

7 × 300:

The number 300 has a tens place value of 30.

To find the product, multiply 7 by 30:

7 × 30 = 210.

Since there is a tens place value of 30, we add two zeros to the end:

210 + 00 = 21,000.

Therefore, the products by factoring the tens are:

7 × 3 = 21,

7 × 30 = 210,

7 × 300 = 21,000.

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Answer:

3/24 or 1/8 (either one)

Answer: 3/24

Step-by-step explanation:

Given an angle that is positive, less than 360°, and coterminal with 395° is 35°.

Subtract 360° from 395°.

We know that 1 revolution is equal to 360°.

Therefore, a positive angle that is less than 360° and coterminal with 395° is 35°.

When an angle is less than 360° and shares the same terminal side with another angle that is less than 360°, then the angle is referred to as a coterminal angle.

In other words, the two angles have the same initial side and terminal side but can be either positive or negative.

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Tom does have enough fertilizer to cover the triangular area, as the triangular area is of 179.6 m², and he has 300 m² of fertilizer.

We are given the three sides of the triangle, hence the first step in obtaining the area is obtaining the semi-perimeter, which is half the perimeter, hence:

s = (26 + 20 + 18)/2

s = 32 m.

The area of the triangle is then obtained as follows:

\(A = \sqrt{s(s - a)(s - b)(s - c)}\)

\(A = \sqrt{32(32 - 26)(32 - 20)(32 - 18)}\)

A = 179.6 m².

Hence Tom does have enough fertilizer to cover the triangular area, as the triangular area is of 179.6 m², and he has 300 m² of fertilizer.

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The triangle with vertices p(3, −5, −3), q(4, −2, −5), and r(8, −4, −6) is right-angled.

When deciding whether a triangle is right-angled or not, one way to do so is by using vectors. In order to determine if the triangle with vertices p(3, −5, −3), q(4, −2, −5), and r(8, −4, −6) is right-angled or not, we need to find the vectors between the points and then check if any two of the vectors are perpendicular (dot product equals 0).

If we subtract q from p and r from p, we will have two vectors pointing from p to q and p to r. We can call these vectors v and w, respectively.

Then: v = q - p = (4, -2, -5) - (3, -5, -3) = (1, 3, -2)w = r - p = (8, -4, -6) - (3, -5, -3) = (5, 1, -3)

To determine if the triangle is right-angled or not, we need to take the dot product of v and w. If the dot product is zero, then the vectors are perpendicular, and the triangle is right-angled. If the dot product is non-zero, then the vectors are not perpendicular, and the triangle is not right-angled.

v · w = (1)(5) + (3)(1) + (-2)(-3) = 5 + 3 + 6 = 14

Since the dot product is non-zero (14), we can conclude that the vectors v and w are not perpendicular, and therefore, the triangle is not right-angled.

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Answer:

The sum of their ages in 6 years time is (2x+20) years.

Step-by-step explanation:

Given that,

Ethen is ‘x’ years old.

Raj is 8 years older than Ethen.

Raj's age = (x+8) years

We need to find the sum of their in 6 years.

After 6 years,

Ethen's age = (x+6) years

Raj's age = (x+8)+6

= (x+14) years

Sum of ages = (x+6) + (x+14)

= 2x+20

Hence, the required answer is (2x+20) years.

Answer:

0, -10, -20, -30, -40, -50, ..., -10(n-1)

Step-by-step explanation:

An arithmetic sequence with a common difference of -10 just indicates that each term adds negative ten to the prior one, which is just subtracting ten.  If you slap a random value as the beginning, zero in my example, then you spam subtract negative tens, you get an arithmetic sequence.  The variable "n" is just the term number - 0 was n=1, -10 was n=2, -20 was n=3, etc.

The length of one side of Fiona's game board is 13 inches, based on the given area of 169 square inches.

To find the length of one side of the game board, we need to calculate the square root of the area. Given that the area of the game board is 169 square inches, we can find the length of one side by taking the square root of 169.

The square root of 169 is 13, since 13 multiplied by itself (13 x 13) equals 169.

Therefore, the length of one side of the game board is 13 inches.

To understand this concept further, consider that the area of a square is calculated by multiplying the length of one side by itself. Mathematically, it can be expressed as:

Area = side × side

In this case, we are given the area of 169 square inches. We want to find the length of one side, which we'll represent as "s." Thus, we have the equation:

169 = s × s

By taking the square root of both sides of the equation, we can isolate the length of one side:

√169 = √(s × s)

13 = s

Therefore, the length of one side of the game board is 13 inches.

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Answer:

The value of x is 30.

We have to find the value of x in the given equation.  

Using distributive property  

We have,

\(1/2(x+6)=18\\a.(b+c)=a.b+a.c\\1/2(x+3)=18\\1/2x=15\\x=3\)

other are also solve by this methode;)

The required solution of the expression \(1/2(x+6) = 18\) is 30.

To solve the equation using the distributive property and properties of equality. One-half (x + 6) = 18 and value of x to be determined.

The equation is the well-organized link of the variables of two expressions that contain equal between them.

distributive properties are used to evaluate the math problem easily by distributing numbers to the numbers present in parenthesis. eg, if we apply the distributive property of multiplication to solve the expression
a( b + c ) = a.b + a.c

\(1/2(x+6) = 18\)
Using distributive property a( b + c ) = a.b + a.c

\(1/2.x+1/2*6 = 18\\1/2x+3=18\\1/2x=18-3\\1/2x=15\\x=2*15\\x=30\\\)

Thus, The required solution of the expression \(1/2(x+6) = 18\) is 30.

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Answer:

BF = |4 – 1| = 3

FC = |4 – 0| = 4

Using the Pythagorean Theorem to find BC:

BC2  =  BF2 + FC2

BC2   =  32 + 42

BC2   =  9 + 16

BC  =  sqaure root 25

BC  =  5

Step-by-step explanation:

The length of BC is 5 unit.

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

We need to find the length of BC place point F at (4,4) and draw BF and FC now you have the right ∆BFC with BC as the hypotenuse find BC and FC using the coordinates of B,C, and,F then use the Pythagorean theorem to find BC.

Using the Pythagorean Theorem to find BC:

BC^2  =  BF^2 + FC^2

BC^2   =  32 + 42

BC^2   =  9 + 16

BC  =  √25

BC  =  5

So, BF = |4 – 1| = 3

FC = |4 – 0| = 4

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Answer:

99 cm²

Step-by-step explanation:

Area of this triangle:

\(A = \frac{hb}{2}\)

A = (11×18)÷2

A = 198÷2

A = 99

Units will be cm²
Discord?
Moon Knight#1868

According to the statement, the diameter increases by 1/8 inch each year, which means that the increase of the diameter is given by the number of years times 1/8.

Taking x as the increase and y as the number of years, the equationthat represents x in terms of y is:

Answer:-0.54545454545

Step-by-step explanation:-0.54...

Answer:

a² + 2ab + b² + a² - 2ab + b²

2a² + 2b²

Step-by-step explanation:

Remember (a + b)² = a² + 2ab + b²

            and (a - b)² = a² - 2ab + b²

Answer: 11 vertices

Step-by-step explanation:

Hi, to answer this question we simply have to substitute E=18 and F= 9 on Euler's formula:

F+V = E+2

Where:

F = number of faces

V = number of vertices

E= number of edges

Replacing with the values given:

9+V = 18+2

Solving for V:

V =18+2-9

V = 11

Feel free to ask for more if needed or if you did not understand something.  

Answer:

a = -5/13

Step-by-step explanation:

13a = -5

a = -5/13

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The volume of the composite solid round to the nearest tenth is 83.7 inches³.

Volume of a three dimensional shape is the space occupied by the shape.

There are 2 hemispheres and a cylinder in the given composite solid.

Volume of hemisphere =  \(\frac{2}{3}\) π r³, where r is the radius.

Volume of the cylinder = π r² h, where r is the radius and h is the height.

Here r = 2 inches and

h = 8 - 4 = 4 inches

Volume of hemisphere = \(\frac{2}{3}\) π × 2³

                                      = \(\frac{16}{3}\) π

There are two hemispheres.

Volume of two hemispheres = 2 × \(\frac{16}{3}\) π =  \(\frac{32}{3}\) π

Volume of the cylinder = π r² h

                                      = π × 2² × 4

                                      = 16 π

Volume of the composite Solid = \(\frac{32}{3}\) π + 16 π

                                                    = \(\frac{80}{3}\) π

                                                    = 83.7 inches³

Hence the volume of the composite solid is 83.7 inches³.

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Answer:

To find the slope, use the formula m = (y2 - y1) / (x2 - x1)

For this question, the slope is \(-\frac{7}{12}\)

Step-by-step explanation:

point 1: (-2.5, 2)

point 2: (4, -1.5)

m = (-1.5 - 2) / (4 - (-2.5)) = -3.5 / 6.5

or

-7 / 12

Answer:x + 3y = 5

3y = -x + 5

y = -(1/3)x + 5/3

slope = -1/3     Parallel lines have the same slope.

Now, you have a point and a slope, so use the Point-Slope form of the equation of a line.

y - y1 = m(x - x1)

y - 4 = (-1/3)(x + 2)

y - 4 = (-1/3)x - 2/3

y = (-1/3)x + 3 1/3   Slope-intercept Form

(1/3)x + y = 10/3     Multiply both sides by 3.

x + 3y = 10    Standard form

Hope this helps and don't yell at me in the comments if I am wrong

plz mark me brainliest  if I am correct

Answer:

The correct answer is y= -x/3 + 14/3 and x + 3y = 14.

The required value of the given function is (f ⋅ g)(4) = 130.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The functions are given in the question, as follows:

f(x)=3x+1 and g(x)=x²-6

(f ⋅g)(x) is the composition of the functions f and g, which means f(x) × g(x).

(f ⋅ g)(x) = f(x) × g(x)

So, substituting x = 4:

(f ⋅ g)(4) = f(4) × g(4)

= (3 × 4 + 1)×(4² - 6)

= 13 × 10

= 130

So, (f ⋅ g)(4) = 130.

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The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45

We have to given that;

One bag contains 3 red lollipops and 2 green lollipops.

And, The other bag contains four purple lollipops and five blue lollipops.

Hence, The probability of choosing a green lollipop is,

P₁ = 2 / 5

And, The probability of choosing a purple lollipop is,

P₂ = 4 / 9

Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,

P = P₁ ×  P₂

P = 2/5 × 4/9

P = 8/45

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To calculate the discharge through the circular channel, we can use Manning's equation, which relates the flow rate (Q) to the channel properties and flow conditions. Manning's equation is given by:

Q = (1/n) * A * R^(2/3) * S^(1/2)

where:

Q is the discharge (flow rate)

n is Manning's coefficient (0.014 in this case)

A is the cross-sectional area of the channel

R is the hydraulic radius of the channel

S is the slope of the channel bed

First, let's calculate the cross-sectional area (A) of the circular channel. The diameter of the channel is given as 6m, so the radius (r) is half of that, which is 3m. Therefore, the area can be calculated as:

A = π * r^2 = π * (3m)^2 = 9π m^2

Next, let's calculate the hydraulic radius (R) of the channel. For a circular channel, the hydraulic radius is equal to half of the diameter, which is:

R = r = 3m

Now, we can calculate the slope (S) of the channel bed. The given slope is 1 in 600, which means for every 600 units of horizontal distance, there is a 1-unit change in vertical distance. Therefore, the slope can be expressed as:

S = 1/600

Finally, we can substitute these values into Manning's equation to calculate the discharge (Q):

Q = (1/0.014) * (9π m^2) * (3m)^(2/3) * (1/600)^(1/2)

Using a calculator, the discharge can be evaluated to get the final result.

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Answer:

False

Step-by-step explanation:

5x+3y =-4

Substitute the point into the equation and see if it is true

5(4) +3(6) = -4

20 +18 = -4

38 = -4

This is false so the point is not a solution

Answer:

No.

Step-by-step explanation:

5x + 3y = -4

For (4, 6) to be a solution, 4 must be put in for x and 6 for y and the solution must be -4.

(5 * 4) + (3 * 6) = 20 + 18 = 38

Since 38 is NOT equal to -4, (4, 6) is not a solution.

Hope this helps!

Answer:

The number is n-0.75

Step-by-step explanation:

Here in this question, we are interested in giving a number which is 75% of 1 less than a number n.

The first thing we do here is to calculate the value of 75% of 1.

That would be;

75/100 * 1 = 0.75

So this value less than n will be;

n- 0.75

Answer:

1/5

Step-by-step explanation:

sqrt(40)/sqrt(1000)

2sqrt(10)/10sqrt(10)

1/5

Answer:

(-20,-10)

Step-by-step explanation:

\(( - 10 \: \: - 3) = ( \frac{0 + x}{2} \: \: \frac{4 + y}{2} )\)

Solve for.x coordinate

\( - 10 = \frac{0 + x}{2} \\ - 20 = 0 + x \\ x = - 20\)

solve for y coordinate

\( - 3 = \frac{4 + y}{2} \\ - 6 = 4 + y \\ - 10 = y\)

Answer:

Arc CB is equals to 160

Step-by-step explanation:

Add all of those numbers and subtracted by 360

Answer:

Step-by-step explanation:

Remark

Be very careful that you understand which arc you are asking for. Arc CB could be the arc made up of 53 + 79 + 68 = 200.

Somehow I get the idea that is not what you want. You want the arc that is not divided up so it is

Arc CB = 360 - Sum of the minor arcs

Arc CB = 360 --  200

Arc CB = 160

Answer:

b

Step-by-step explanation: