8. You put $1000 in an account. The simple interest rate is 4.5%. After a year, you put in another $550. What is your total interést after 2 years from the time you opened the account?​

The loaded die appears to behave differently from a fair die.Based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.

To test the claim that the outcomes of the loaded die are not equally likely, we can use the chi-square goodness-of-fit test. The null hypothesis (H₀) assumes that the outcomes are equally likely, while the alternative hypothesis (H₁) assumes that they are not equally likely.

Step 1: Set up hypotheses

H₀: The outcomes of the die are equally likely.

H₁: The outcomes of the die are not equally likely.

Step 2: Select the significance level

The significance level is given as 0.025, which means we have a two-tailed test and an alpha level of 0.025 for each tail.

Step 3: Compute the test statistic

We calculate the chi-square test statistic using the observed frequencies and the expected frequencies assuming equal probabilities for each outcome.

Expected frequencies (fair die):

1: 200/6 = 33.33

2: 200/6 = 33.33

3: 200/6 = 33.33

4: 200/6 = 33.33

5: 200/6 = 33.33

6: 200/6 = 33.33

Applying the chi-square formula, we get the test statistic:

χ² = ∑((observed - expected)² / expected)

Calculating this value, we get χ² ≈ 13.97.

Step 4: Determine the critical value

Since the significance level is 0.025 and the test is two-tailed, we divide the significance level by 2 to find the critical value associated with each tail. With 5 degrees of freedom (6 categories - 1), the critical value is approximately 11.07.

Step 5: Make a decision

The test statistic (13.97) is greater than the critical value (11.07), which leads us to reject the null hypothesis. Thus, we have evidence to suggest that the outcomes of the loaded die are not equally likely.

The loaded die appears to behave differently from a fair die.

In conclusion, based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.

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Answer:

9

Step-by-step explanation:

X MULTIPLIED BY 3 EQUALS 9 SINCE X=3

Answer:

9

Step-by-step explanation:

x=3

3*3= 9

so value of 3x = 9

Answer:

Step-by-step explanation:

In order to convert 0.0004578, which is in decimal, to scientific notation, all we need to do in this case is to move our decimal point to the right till we arrive at the first number that is not a zero, and then eliminate all the zero.

In this case, we will have to move the decimal point 4 spaces to our right, which would mean our exponent would be negative. The number of decimal spaces we moved to our right would be the value of our exponent, which is -4 in this case.

Thus, we have:

\( 4.578 * 10^{-4} \)

Answer:

 proportional graph is a straight line that always goes through the origin. A non-proportional graph is a straight line that does not go through the origin.

Step-by-step explanation:

Answer:

x=(y+2b)/3m

Step-by-step explanation:

y+2b=3mx

(y+2b)/3m=x

Step-by-step explanation:

there is nothing missing. this is a complete proof.

yes, the various steps are correct.

Answer:

median is 20

Step-by-step explanation:

32, 19, 21, 16, 27, 15

To find the median of the list, you first need to list the numbers from smallest to largest.

15, 16, 19, 21, 27, 32

The take a number off each end until you find the number in the middle

15, 16, 19, 21, 27, 32

    16, 19, 21, 27

          19, 21

Since there are two numbers left in the middle, you can find the median by adding the two numbers together and dividing it by 2.

19 + 21 = 40/2 = 20

The median of these numbers is 20.

The maximum number of point of intersection of a line and circle is two

Circle:

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre. The following is the circle formula in the plane:

\((x-x1)^{2} +(y-y1)^{2} =r^{2}\) Here,(x1,y1) are the centre of circle and r is the radius of circle.

Line:

A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.

Line and Circle can intersect at two points maximum

Therefore,The maximum number of point of intersection of a line and circle is two

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Answer:

10 11 12 13 14 15 16 17 18 19

10 10 11 12 13 14 15 16 17 18 19  

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

the answer is c ( both )

Therefore, Mr. Fulton's class has 30 students.

Since 40% of Mr. Fulton's class is 12 students, we can use the proportion 12/40 = x/100 to determine how many students are in the class. When we solve for x, we get x = 30.

Therefore, Mr. Fulton's class has 30 students.

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KM, JK, PK, and MJ are shown on the diagram.

Then the correct options are B, C, D, and F.

Since, Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

A line segment in mathematics has two different points on it that define its boundaries.

All the line segments will be

JK, JM, KM, MP, PK, and KL

The triangle KPM.

And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.

Then the correct options are B, C, D, and F.

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Answer:

800

Step-by-step explanation:

The Answer Is 8,000,000 Because

8×2 16 so 8,000,000 × 2=16,000,000

Answer:

Step-by-step explanation:

sin (B) = \(\frac{2}{5}\)

Answer:

its B, C and E

Step-by-step explanation:

on edge

Answer:

2a + 3p = 18

Step-by-step explanation:

The total has to equal 18 so then you have $2 and $3. Apples cost $2 so the 2 should have an a for Apples. The peppers cost $3 so the 3 should have a p for peppers. So the equation would be 2a + 3p = 18.

Answer:

No

No

Yes

Yes

Yes

Brainliest?

The amount of money he lose on the last tool set is: $30.60.

Using this formula

Amount lose=Original amount paid -Selling price

Where:

Original amount paid=$54.60

Selling price=$24.00

Let plug in the formula

Amount lose=$54.60-$24.00

Amount lose=$30.60

Therefore the amount of money he lose on the last tool set is: $30.60.

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Answer:

627

Step-by-step explanation:

Answer:

umm.. wym?

Step-by-step explanation:

Answer:

All triangles has a total angle of 180. So x+38+2x+18+x=180

Solve for x: 4x+56=180 so 4x=124, x=31

Part A: The equation that can be used to determine the dimensions, in meters, of the field is 5500 = 2x² + 10x

Part B: width is 50 meters.

The formula for calculating the area of a rectangle is expressed with the equation;

A = lw

Such that the variables are expressed as;

We then have that;

l = 2x + 10

Substitute the values

5500 = (2x + 10)(x)

expand the bracket

5500 = 2x² + 10x

2x² + 10x - 5500

x² + 5x - 2750

x² + 55x - 50x - 2750

x(x + 55) - 50(x + 55)

x = 50 meters

Length = 2(50) + 10

Length = 100 + 10 = 110 meters

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The correct anwer is False

Explanation

According to the graph, it can be seen that a student has four hours of sleep as the minimum number of hours of sleep; two students have six hours of sleep, four students have six and a half hours of sleep, four have seven hours of sleep, three have seven and a half hours of sleep, five have eight hours of sleep, and one has eight and a half hours of sleep as maximum hours of sleep. Therefore, it can be affirmed that the statement that the difference between the maximum amount and the minimum number of hours is two and a half hours is false because between four hours and eight and a half hours there are four and a half hours of difference. So, the correct answer is False.

Answer:

it's definitely F .. Your welcome

Answer:

5 hope this helps

<3

Step-by-step explanation:

ok so this will turn into an algebraic equation, x4-7=13

these are hard because you have to figure out the order first then you just solve like a normal problem..

x4-7=13

x4=20

x=5

Answer:

5

Step-by-step explanation:

x-7•4=13

13+7=20

20/4=5

5•4-7=13

The interpolant is  y = f(x) = -0.2857x + 0.5714

The Taylor polynomial is a polynomial approximation of a function, centered at a given point, that captures the local behavior of the function near that point.

Specifically, the Taylor polynomial of a function f(x) centered at x=a is the polynomial P(x) that has the same value, first derivative, second derivative, and so on, as f(x) at x=a.

The Taylor polynomial is defined as:

P(x) = f(a) + f'(a)(x-a) + (f''(a)/(2!))(x-a)^2 + (f'''(a)/(3!))(x-a)^3 + ...

where f'(a), f''(a), f'''(a), ... represent the derivatives of f(x) evaluated at x=a. The terms in the series are often called the "Taylor series coefficients."

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B!!!!!!!!!!!!!!!!!!!!!!

hope this helps

Answer:

All parallelograms have 4 equal sides

Answer:

I don't know

Step-by-step explanation:

thanks for the points again.

Answer:

You need to pay $1,759.50 if you get a 15% discount.

Step-by-step explanation:

100%-15%=85%

0.85x2,070=$1,759.50

Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4 using trigonometric ratio.

We know that the point (-3, 4) is on the terminal side of the angle θ, and we can use the Pythagorean theorem to find the value of the hypotenuse:

r² = x² + y²

r² = (-3)² + 4²

r² = 9 + 16

r² = 25

r = 5

Now we can find the values of sin θ, csc θ, and cot θ:

sin θ = y/r = 4/5

csc θ = r/y = 5/4

cot θ = x/y = -3/4

Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4.

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Answer:

i think its inverse

Answer:

the answer is inverse

Step-by-step explanation:

inverse