what is the use of the chi-square goodness of fit test? select one.

The total cost of the entertainment center after six years, if Zebina must pay it off, would be $9,203.19.

When a person purchases an item using a deferred payment plan with interest, the total cost of the item will be greater than the original purchase price due to the added interest.

To calculate the total cost of the entertainment center after six years, we need to use the formula for compound interest:

A = P(1 + r/n)^(nt)

where A is the total cost, P is the original purchase price, r is the annual interest rate (expressed as a decimal), n is the number of times the interest is compounded per year, and t is the number of years.

In this case, P = $2,798, r = 0.2195 (21.95% expressed as a decimal), n = 1 (because the interest is compounded annually), and t = 6. Plugging these values into the formula gives:

A = 2798(1 + 0.2195)^6

A = $9,203.19

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Answer:

40.3°

Step-by-step explanation:

sin x/ (5.3) = sin 90/ (8.2)

sin x = (5.3 sin 90) / 8.2

= 5.3/8.2

x = arcsin (5.3/8.2)

= 40.3° to 1 dp

The measure of angle x using Trigonometry is 40.263215° or 40.3.

Trigonometry is a branch of mathematics that deals with the study of relationships involving the angles and sides of triangles. It is especially useful in understanding the properties and behavior of right-angled triangles.

Sine ratio is defined as the ratio of the length of the side opposite an angle to the length of the triangle's hypotenuse.

From the figure,

Perpendicular = 5.3 m

Hypotenuse = 8.2 m

Using Trigonometry

sin x = P / H

sin x = 5.3/ 8.2

sin x = 0.6463

Using Inverse Trigonometry

x = \(sin^{-1}\)(0.6463)

x= 40.263215°

Thus, the measure of angle x is 40.3.

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Answer:

The answer is 20m=8

Answer:

20m=8

Step-by-step explanation:

8/20=0.4 making m=0.4

Answer:

to use the money when in an emergency

The number of hours that helena need to work to generate 165 dollars is

33 hours.

Helena has to work hours to earn $165. 33

Algebraic equations are equations with

unknown variables. The alphabet letters are used to represent algebraic equations.

Total $33.00 in her 6 hours she worked.

This question should find out how long it takes her to earn her $165.00 in that job.

let x hours be required work hours to earn $165.00 ..

This can be expressed in algebraic equations as:

x= 6× 165/33

x= 990/33

x= 30

Hence, helna have to work thirty hours to earn $165.00 ..

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The distance between these two points (7,4) and (10,2) will be 3.6 units.

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D² = (x-p)² + (y-q)²

Estimate the line of best fit using two points on the line. (7,4) and (10,2).

The distance between these two points (7,4) and (10,2) will be

D² = (10 - 7)² + (2 - 4)²

D² = 9 + 4  

D² = 13

D = 3.6

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We have the following information from the question:

• We have a science fair poster that is a rectangle, 3 feet in length, and 2 feet in width.

And we need to find the area of that rectangular poster in square inches.

To find the area in square inches, we can proceed as follows:

1. We can convert the given length and width to inches:

Then we have:

And also:

2. Now, since the area of a rectangle can be found as the length times the width, then we have:

Therefore, in summary, the area of the science fair poster is, in square inches, equal to 864 square inches.

A researcher looking to estimate the percentage of teenagers in the US who support the legalization of recreational marijuana should employ descriptive statistics, specifically using a proportion or percentage to summarize the data collected from a representative sample of teenagers.

The researcher should employ inferential statistics to obtain the answer to her question. She could use survey sampling methods to collect data from a representative sample of teenagers in the US and use statistical analysis techniques such as hypothesis testing and confidence intervals to estimate the percentage of teenagers who support the legalization of recreational marijuana in the entire population of US teenagers.

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The given expression is,

10639/500+22

According to

Answer:

C

Step-by-step explanation:

If you look closely.. You can see that one is longer than the other

Answer:

8w/9

Hope that help <3

The missing side of triangle is 13.3 yd.

What is Pythagorean Theorem?

The Pythagorean theorem, also known as Pythagoras' theorem, is a basic Euclidean geometry relationship between a right triangle's three sides. According to this rule, the area of the square with the hypotenuse side is equal to the sum of the areas of the squares with the other two sides.

There are two sides of triangle are given.

We have to find the missing side of triangles.

Let x be the missing side of triangles.

By using Pythagorean theorem,

(10.3)^2 + (8.4)^2 = x^2

 106.09 + 70.56 = x^2

               176.55 = x^2

                    13.3 = x

                        x = 13.3

Hence, the missing side of triangle is 13.3 yd.

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Complete question:

Complete question is attached below.

Answer:

a) 1/2 of 12 = 1/4 of 24

b) 1/3 of 90 = 2/3 of 45

Step-by-step explanation:

1/2 of 16 is 6, so 6 would be 1/4 of what? 6 x 4 = 24. 6 is 1/4 of 24. The other one is the same. 1/3 of 90 is 30, and 30 is 2/3 of 45.

41) s(-1/6)=0

=> 36*(-1/6)^3 + 36*(-1/6)^2 - 31*(-1/6) - 6 = 0

=> -12 + 72 + 31 - 6 = 0

=> 85 = 0

So, s(x) = 36x^3 + 36x^2 - 31x - 6

Factors completely as:

(3x+1)(12x^2 - 5x - 6)

45) p(x) = x^3 - 5x^2 + 4x - 20

=> p(5) = 125 - 75 + 20 - 20 = 0

Using the rational zeros theorem, the possible zeros are ±1, ±5/2, ±4.

Testing these, -4 is also a zero.

So the roots are -4, 5, -5/2.

46) q(-5/2) = 2(-5/2)^3 - 3(-5/2)^2 - 10(-5/2) + 25

=> -25 - 45 + 50 + 25 = 5

So q(-5/2) = 0

Other roots: Factoring as (2x + 5)(x^2 - x - 5)

=> -5, -1, -2.

56) f(x) = x^6 - 6x^4 + 17x^2 + k

For (x+1) to be a factor, the remainder should be 0 when f(x) is divided by (x+1).

f(-1) = -1 - 6 + 17 + k

=> k = 10

So when k = 10, (x+1) is a factor.

Again, remainder should be 0 when f(x) is divided by (x+a) for (x+a) to be a factor.

f(-a) = -a^6 + 6a^4 - 17a^2 + 10

Set this equal to 0 and solve for a. You'll get a = -3 or 2.

So when k = 10, f(x) also has (x-3) as a factor.

The first step in dividing x³ - 4x - 6 by x + 3 using synthetic division is to write the coefficients of the polynomial in descending order of powers.

Synthetic division is a method used to divide polynomials. In this case, we want to divide the polynomial x³ - 4x - 6 by the binomial x + 3. The first step is to arrange the coefficients of the polynomial in descending order of powers. The polynomial x³ - 4x - 6 can be written as 1x³ + 0x² - 4x - 6.

To use synthetic division, we only need the coefficients of the polynomial and the divisor, which are 1, 0, -4, and -6 for the dividend x³ - 4x - 6, and 1 and 3 for the divisor x + 3. Writing the coefficients in descending order of powers, we have 1, 0, -4, -6. Now we can proceed with the synthetic division algorithm by bringing down the first coefficient, performing the necessary calculations, and obtaining the quotient and remainder.

Therefore, the first step to divide x³ - 4x - 6 by x + 3 using synthetic division is to write the coefficients of the polynomial in descending order of powers: 1, 0, -4, -6.

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The widths of Kyle and Myla's boxes are both 2ft respectively.

For Kyle;

The volume of his storage box = 12ft³

The length of the box = 2ft

The height of the box = 3ft

The width of the box = ?

But volume of a box = length×width×height

12 = 2×3×width

make width the subject of formula;

Width = 12/6 = 2 ft

For Myla;

The volume of his storage box = 16ft³

The length of the box = 2ft

The height of the box = 4ft

The width of the box = ?

But volume of a box = length×width×height

16= 2×4×width

make width the subject of formula;

Width = 16/8 = 2 ft

Therefore, the width of the both boxes are the same in measurement.

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The value of the unknowns are w = 5 , x = 12 , y = 1 and z = 15

What is a Matrix?

In mathematics, a matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object

A+B = B+A  Commutative Law of Addition.

A+B+C = A +(B+C) = (A+B)+C  Associative law of addition.

ABC = A(BC) = (AB)C  Associative law of multiplication.

A(B+C) = AB + AC  Distributive law of matrix algebra.

R(A+B) = RA + RB

Given data ,

Let the Matrix be A

Now , the given matrices are

\(2\left[\begin{array}{ccc}w&2\\5&z\\\end{array}\right] + 3\left[\begin{array}{ccc}2&x\\-2&-6\\\end{array}\right] =4\left[\begin{array}{ccc}4&7\\y&3\\\end{array}\right]\)

On simplifying the matrices , we get

\(\left[\begin{array}{ccc}2w&4\\10&2z\\\end{array}\right] + \left[\begin{array}{ccc}6&2x\\-6&-18\\\end{array}\right] =\left[\begin{array}{ccc}16&28\\4y&12\\\end{array}\right]\)

Now , from the distributive law of matrices ,

2w + 6 = 16   be equation (1)

4 + 2x = 28   be equation (2)

10 - 6 = 4y     be equation (3)

2z - 18 = 12    be equation (4)

So on simplifying the equation , we get

2w + 6 = 16   be equation (1)

Subtracting 6 on both sides , we get

2w = 10

Divide by 2 on both sides , we get

w = 5

So on simplifying the equation , we get

4 + 2x = 28   be equation (2)

Subtracting 4 on both sides , we get

2x = 24

Divide by 2 on both sides , we get

x = 12

So on simplifying the equation , we get

10 - 6 = 4y     be equation (3)

4y = 4

Divide by 4 on both sides , we get

y = 1

So on simplifying the equation , we get

2z - 18 = 12    be equation (4)

Adding 18 on both sides , we get

2z = 30

Divide by 2 on both sides , we get

z = 15

Therefore , the values are w = 5 , x = 12 , y = 1 and z = 15

Hence , The value of the unknowns are w = 5 , x = 12 , y = 1 and z = 15

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Answer:

x<2

Step-by-step explanation:

this is correct answer

Answer:

x=75

Step-by-step explanation:

Knowing that

a=72 and that

b=33 you add both to get 105

and because triangles entire angle is 180 you subtract 180 to 105

Answer:

3/5

Step-by-step explanation:

3 of the 5 are shaded or indicated

(a) The correct trigonometric ratio to use is the tangent ratio (tan).

(b) The trigonometric equation is tan(17°) = Opposite/Adjacent.

(c) tan(17°) = Opposite/Adjacent

tan(17°) = 150/Adjacent

Adjacent = 150/tan(17°)

Adjacent = 150/0.3045

Answer:

Step-by-step explanation:

I would say (1.75, 1.5)

Answer:

m∠P: 52 degrees.

m∠Q: 128 degrees.

Step-by-step explanation:

In a rhombus, opposite angles are equal, and all angles add to be 360 degrees.

This means that m∠P = m∠P, and m∠Q = m∠S. Because that is the case, m∠P + m∠Q = 180 degrees.

(2w - 62) + (w + 71) = 180

2w + w - 62 + 71 = 180

3w + 9 = 180

3w = 171

w = 57

Now that we have the value of w, we can find the m∠P and m∠Q!

m∠P: (2 * 57) - 62 = 114 - 62 = 52 degrees

m∠Q: (57 + 71) = 128 degrees

To make sure we are right...

128 + 52 = 180

Hope this helps!

Answer:

  54 million

Step-by-step explanation:

You want the population after 90 minutes if it starts at 2 million and triples every 30 minutes.

After 30 minutes, the population is ...

  3 × 2 million = 6 million

After another 30 minutes (60 minutes, total), the population is ...

  3 × 6 million = 18 million

After a total of 90 minutes, the population has tripled again to ...

  3 × 18 million = 54 million

The number after 90 minutes is about 54 million.

The length of the bottom beam =9.16 feet

the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Given : Total length of arm = 3.4+3.4=6.8 ft

Applying Pythagoras in  triangle on right side we have,

H²=P²+ B²

6.8²= P² + 4.8²

46.24= P² +23.04

P²= 23.2

P= 4.81 feet

Similarly, on the triangle on left side.

Again we have the base as 4.81 feet.

Now,  the length of the bottom beam= 4.81*2

                                                             =9.16 feet

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At the top of Mount Aconcagua, the air pressure is around 31.8% of the pressure at sea level.

This is because the air pressure decreases as we move upwards, due to the decrease in the number of air molecules per unit volume at higher altitudes. This decrease is significant at the summit of Mount Aconcagua, which is one of the highest peaks in the world.

To calculate the percentage of air pressure at the summit, we divide the air pressure at the top by the air pressure at sea level and multiply by 100. Therefore, the air pressure at the top of Mount Aconcagua is approximately 31.8% of the pressure at sea level, rounded to one decimal place.

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Hi there!

With a normal distribution, we can use the operation 'normalcdf' on a calculator to find the probability that a randomly selected adult has an IQ between 96 and 111.

Here is the format for using the operation:

LB = Lower bound (96)

UB = Upper bound (111)

μ = Mean of normal distribution (100)

σ = Standard deviation of normal distribution (15)

Plug in the given values into the calculator and solve.

\(normalcdf(96, 111, 100, 15) = \boxed{0.3735 }\)

Answer:

y = x - 3

Step-by-step explanation:

Linear functions can't have any exponents or square roots, so it has to be

y = x - 3