The sum of the squared deviation scores is ss = 20 for a population of n = 5 scores. what is the variance for this population?

Answer:

-21 degrees

Step-by-step explanation:

-14 - 7 = 21

Answer: 2,8865 million acres of cropland in florida

Step-by-step explanation: To solve this problem we can multiply Alabama's cropland of 2.51 million acres by 1.15 giving: 2.51 million ×1.15=2.8865 million acres of cropland in Florida.

I Hope this helps :)

Answer: Florida has 2.8865 million acres of cropland.

Step-by-step explanation:

We can first do the multiplication, 2.51 x 1.15, and then add 1,255 + 2,510 + 25,100 then we get the answer: 2.8865

Answer:

thsnk

Step-by-step explanation:

Answer:

  x = 4

Step-by-step explanation:

You want the equation of the vertical line through (4, 6).

Slope is the ratio of rise to run for a line. When the "run" is zero, that ratio becomes undefined. The "run" will be zero for any rise when the line is vertical.

The equation of such a line has the form ...

  x = c . . . . . for some constant c

In order for this equation to be satisfied when (x, y) = (4, 6), the value of the constant must match the x-coordinate of the point.

The equation is x = 4.

Answer: x = -2, 2

Step-by-step explanation:

2x^2 + 1 = 9

        -1.     -1

2x^2 = 8

2x^2/2 = 8/2

x^2 = 4

[tex]\sqrt{x^2} = \sqrt{4}[/tex]

x = -2, 2

Using similar triangles, it is found that the measure of angle B is of 74º.

Similar triangles are triangles that have the same angle measures, and whose side lengths are proportional.

In this problem, the triangle ABC was translated, resulting in triangle A'B'C'. A translation does not change the measures of the angles, hence their angles are given as follows:

80º, 26º and B.

The sum of the internal angles of a triangle is of 180º, hence:

80 + 26 + B = 180

B = 74º.

The measure of angle B is of 74º.

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Square root of Two is an irrational number. because we are unable to express it in the form a/b, where a and b are whole numbers and b is not zero.

Any real number that cannot be written as the quotient of two integers—that is, as p/q, where p and q are both integers—is an irrational number. For instance, the square root of 2 cannot be represented by an integer or a fraction.

Because these numbers may be represented on a number line, they are real numbers rather than complex numbers.

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The desert temperature, h, oscillates daily between 40°f at 5am and 80°f at 5pm. write a possible formula for h is - [tex]H(t) = -20 cos \frac{pi}{12} t + 60[/tex]

y = A cos[B(x-C)] + D, where

A = amplitude,

period = 2π / |B|

C = Phase shift

D = vertical shift

Amplitude = (Max value - Min value) / 2

Amplitude = 80 - 40 / 2

Amplitude = 20

24 = 2π / |B|

B = π / 12

vertical shift = Max value + Min value / 2

D = 80 + 40 / 2

D = 60

Since the temp. is min. at t = 0, we will use negative cosine.

H(t) = -20 cos(π t/ 12) + 60

∴ Our required equation will be - [tex]H(t) = -20 cos \frac{pi}{12} t + 60[/tex]

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Answer:67

Step-by-step explanation:

Answer:

2n - 9 = 21

Step-by-step explanation:

I believe you do subtract 9 from 2 times x-

Hope this helps xx I'm so sorry if this is wrong °.°·(((p(≧□≦)q)))·°.°

Answer: 8 feet

Step-by-step explanation:

Let,

Width= x

Length= x + 4

Perimeter= 24 ft

Now,

2{x+(x+4)}= 24

⇒ x = 4

Width= 4 feet

Length= 8 feet

Answer:

Axis of symmetry is the green dotted line

The expressions of all the functions are;

1) f(x) = 0.75x

2)g(x) = 0.8x

3) (f o g)(x) = 0.6x

4) (g o f)(x) = 0.6x

We are told that f(x) is the price with the $20 coupon applied, and

g(x) is the price with the 15% discount applied. Thus;

1) An expression for f(x) is;

f(x) = (1 - 0.25)x = 0.75x

f(x) = 0.75x

2) An expression for g(x) is;

g(x) = (1 - 0.2)x = 0.8x

g(x) = 0.8x

3) An expression for (f o g)(x) is;

(f o g)(x)  = f(g(x)) = 0.75(0.8x) = 0.6x

(f o g)(x) = 0.6x

4) An expression for (g o f)(x) is;

(g o f)(x) = 0.8(0.75x) = 0.6x

(g o f)(x) = 0.6x

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no because division is not associative only multiplication.

Answer:

1. 13 As there are 13 points indicating there are 13 students 2. 39.

Step-by-step explanation:

The total number of bags Sharon have is 7 and the total number of apples Sharon have is 45.

Let total number of bags = x

Let total number of apples Sharon has = y

If she packs 6 apples in each bag, she will have 3 apples left. So, mathematically we can write

6x + 3 = y                                                       equation 1

If she packs 7 apples in a bag, she will be four apples short. So, mathematically we can write

7x - 4 = y                                                         equation 2                

On subtracting equation 1 from equation 2 , we get

x - 7 = 0

⇒ x = 7

Substitute x = 7 in equation 1 , we get

6 ( 7 ) + 3 = y

⇒ y = 45

The total number of bags Sharon have is 7 and the total number of apples Sharon have is 45.

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Answer:

A

Step-by-step explanation:

assuming you meant y = x² + 12x - 7 , then

given a quadratic in standard form

y = ax² + bx + c (a ≠ 0 )

the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = x² + 12x - 7 ← is in standard form

with a = 1 , b = 12 , then x- coordinate of vertex is

x = - [tex]\frac{12}{2}[/tex] = - 6

substitute x = - 6 into the equation for corresponding y- coordinate

y = (- 6)² + 12(- 6) - 7

  = 36 - 72 - 7

 = - 43

vertex = (- 6, - 43 )

Answer: i need points (dont delete ily<3) (respect my grind)

Step-by-step explanation:

16 times larger is the new area when compared to the original.

Given that, the length of each side of the square is quadrupled.

We need to find how many times larger is the new area when compared to the original.

A square is a closed two-dimensional shape with four equal sides and four equal angles. The four sides of the square form the four angles at the vertices. The sum of the total length of the sides of a square is its perimeter, and the total space occupied by the shape is the area of the square. The formula to calculate the area of a square is a².

Let the length of each side of the square be x.

Then the length of each side of the new square will be 4x.

Now, the area of the original square = x²

The area of the new square = (4x)² = 16x²

So, the new square = 16 × the original square

Therefore, 16 times larger is the new area when compared to the original.

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Answer: The m<A = 55

Step-by-step explanation:

1. We know that m<A is likely congruent to m<B (know that m< means measure of angle) {Also noting congruent means same}

2. With that, we can tell that the given info is telling us that 124 is the total degree for m<D.

3. So, this tells us that 2x + x + 41.5 = 124 is the formula we will use.
       3a. 3x + 41.5 = 124 (Simplify)
               3b. 3x = 82.5 (Combine like Terms)
                         3c. x = 27.5 (Divide)

4. Now we know what x is, so finding m<A is easy, 2(27.5) equals to 55, meaning m<A is 55. For m<B, 27.5 + 41.5 equals to 69. To make sure 55 + 69 equals to 124

5. So:
m<A = 55
m<B = 69
m<D = 124

A linear equation in one variable is the equation that has one one term

You should understand that an equation is linear if there highest power of the equation is one (1)

The linear equation can have one or two terms. But in this regard, it the equation contains only a term or variable say x,y,m, p, q, a, b etc, the equation is said to be in one variable.

Taking the following sets of equations

x+4 = 5

2y-8=0

x+4=3-8x

These equations are linear and they contain only one variable.

Therefore, a linear equation is the equation containing one variable whose highest power of the variable is one.

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The given function is an equation describing the expenses of Gloria at her school cafeteria: She has 40 dollars in total and spends 2.75 dollars for each meal; 40 - 2.75x is the new function of linear equation.

Linear equations refer to the equations that involve two or more variables in the form of "ax + b".

Now,

Given: The expenses of Gloria at her school cafeteria is given by the linear equation: 40 - 1.5x, where x = number of meals purchased.

To find: The relation when 1.50 changes to 2.75.

Finding:

Hence, The given function is an equation describing the expenses of Gloria at her school cafeteria: She has 40 dollars in total and spends 2.75 dollars for each meal; 40 - 2.75x is the new function of linear equation.

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(COMPLETE QUESTION:

Gloria has a lunch account in the school cafeteria. The balance, f(x), in her account can be represented by the function f(x) = –1.50x + 40, where x is the number of meals purchased. Suppose –1.50 changed to –2.75. What does this mean in the context of the problem?)

Answer: 5859375

Step-by-step explanation:

3, 15, 75...

75/15=5

15/3=5

Every term multiplied by 5 is the next term. Hence, the equation for this sequence can be expressed as:

y=3*[tex]5^{x-1}[/tex]    ==> y is the term when x is the term number and 3 is the first number in the sequence

Now let's solve for the 10th term:

y=3*[tex]5^{10-1}[/tex]

y=3*[tex]5^{9}[/tex]

y=3*1953125

y=5859375

Using a linear function, it will take 8 years for the Springfield zoo to have 35 gorillas.

A linear function is modeled by:

y = mx + b

In which:

For this problem, the parameters are given as follows:

m = 4, b = 3.

Hence the number of gorillas after x years is given by:

G(x) = 3 + 4x.

It will have 35 gorillas when:

G(x) = 35.

Hence:

3 + 4x = 35.

4x = 32.

x = 32/4

x = 8.

It will take 8 years for the Springfield zoo to have 35 gorillas.

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Answer:

x=5

Step-by-step explanation:

3(5+5) = 30

3(10) = 30

<3

We get that the number of pots that can be filled are 20 pots.

We are given that:

The total amount of yoghurt with Geela = 20 liters.

The amount of yoghurt in 1 pot = 1 liter

Now, we need to find the number of pots that can be filled.

So, we will do this by using division.

We get that:

Number of pots that can be filled. = 20 / 1

Number of pots that can be filled. = 20 pots

Therefore, we get that the number of pots that can be filled are 20 pots.

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Answer:

Hope this helps :)

21) 31 + 14

22) 16 - 9

23) 7 + 4 + 18

24) 3 × 40

25)

26) 81 ÷ 3 OR 81/3 (the fraction bar also means divide)

27) 3 × 2 = 6

28) 7 x 6 = 42 (7 days in a week times by 6 weeks equal 42 days)

Answer:

1080

Step-by-step explanation:

Answer:

97th term of arthmetic progression is

-16+ 96* 18

Step-by-step explanation:

The number of overtime hours done by electrician, as found by unitary method, is 4.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Now,

Given:

To find: Number of Overtime hours

FInding:

Let the number of overtime hours be 'x'.

By unitary method, Charge of 1 regular hour = $24

Charge of 8 regular hours = $24(8) = $192

Again, by unitary method, Charge of 1 overtime hour = $36

Charge of x overtime hours = $36(x)

Cost of Materials = $202

Now, total bill = sum of all the expenses

=> 538 = 192 + 36x + 202

=> 538 - 294 = 36x

=> 144 = 36x

=> 4 = x

Hence, the number of overtime hours as found by unitary method is 4.

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Answer:

A

Step-by-step explanation:

x² + 7x + 12 = 0

consider the factors of the constant term (+ 12) which sum to give the coefficient of the x- term (+ 7)

the factors are + 3 and + 4 , since

3 × 4 = + 12 and 3 + 4 = + 7 , then

(x + 3)(x + 4) = 0

equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x + 4 = 0 ⇒ x = - 4

Qualitative data include the eye color of students involved in after-school activities and the characteristics of various types of birds.

So,

Therefore, qualitative data include the eye color of students participating in after-school activities as well as the characteristics of various bird species.

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