Find the simple interest for 3 years at a rate of 5% on $200

Answer: D) the significance level of the test

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Explanation:

The significance level of the test, also known as "alpha", is the probability of making a type 1 error. A type 1 error is where you reject the null hypothesis but it was true all along.

The null hypothesis is where we test a certain probability distribution (eg: normal distribution). Specifically we gather a sample of values and compute the test statistic. If the probability of getting that test statistic or more extreme is smaller than alpha, then we reject the null. This probability value is known as the p-value.

If you lower the alpha value, then that will make it more likely you do not reject the null. Consider an example where alpha = 0.10 to start with. If you get a p-value of 0.02, then you would reject the null. The same would apply for alpha = 0.05; however, with alpha = 0.01, the p-value is no longer smaller than alpha. At this point we do not reject the null. Your textbook may use the phrasing "fail to reject the null".

Going in the opposite direction, increasing the alpha value will make it more likely to reject the null. Each time you adjust the alpha value, keep the p-value to some fixed number (between 0 and 1).

The height of the equilateral triangle is 3√3 cm.

Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.

It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.

We have,

To minimize the probability of incorrectly rejecting the null hypothesis in a hypothesis test with a fixed sample size of 40, the statistician can adjust the significance level of the test.

The significance level, denoted by α, is the probability of rejecting the null hypothesis when it is actually true.

By choosing a smaller significance level, the statistician can decrease the probability of making a Type I error (rejecting the null hypothesis when it is actually true).

However, decreasing the significance level also increases the probability of making a Type II error (failing to reject the null hypothesis when it is actually false).

Therefore,

The choice of significance level involves a trade-off between the two types of errors and should be based on the specific context of the problem and the consequences of each type of error.

Now,

The height of an equilateral triangle can be found using the formula:

height = (side length / 2) x √3

The side length = 6 cm

So,

height = (6 / 2) x √3

           = 3√3 cm

Therefore,

The height of the equilateral triangle is 3√3 cm.

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Answer:

The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

Answer:

Use desmos if you can but usually just look at where the lines intersect. there can be more than one point

Step-by-step explanation:

Answer:

238

Step-by-step explanation:

280 times 0.85 = 238

Answer:

8x+4

Step-by-step explanation:

(9x+7)-(x+3) first - multiply both x and 3 so it will be :

9x+7-x-3 and then collect like terms

9x-x+7-3

8x+4

If it's helpful ❤❤❤

THANK YOU

Answer:

A. 4,  X = 4

Step-by-step explanation:

-3x - 8 = -20

Move the constant to the right-hand side and change its sign

-3x = -20 + 8

Calculate the sum

-3x + -12

Divide both sides of the equation by -3

x = 4

Solution

x = 4

9514 1404 393

Answer:

  130, 32, 8

Step-by-step explanation:

I find it convenient to use a spreadsheet to do repetitive calculations. The formulas for volume of a candle and number of candles are shown in the attached spreadsheet.

The block of wax has a volume of 4×4×4 = 64 cubic inches. The volumes shown for the candles are in cubic inches, so the number of candles is 64 divided by the candle volume.

Answer:

x=3

Step-by-step explanation:

14-x=5x-4

Add the x from the left side to the right

14=6x-4

and the 4 to the left side

16=6x

6x=18

x=3

Answer:

x = 3

Step-by-step explanation:

If we substitute  x for 3 it will give u the following expression:

14 - 3 = 5 x 3 - 4

If we solve both these expressions they will both give us: 11

This will prove the equation correct

Answer:

1/10

Step-by-step explanation:

20 STUDENTS, 2 chosen

Answer: answer is 20 questions total

Step-by-step explanation:

12 Wrong, and 8 right. 60%

Answer:

it should be c im pretty sure it's a quadratic function graph

Answer:

425

Step-by-step explanation:

Answer: y = 2/3x +1 (the second option)

Step-by-step explanation:

The required equation will be y = -0.5x + 27.5 which is shown on the given graph.

A linear equation is defined as an equation in which the highest power of the variable is always one.

According to the given graph,

We can see two points are (-3, -1) and (3, 3)

The linear equation will be: y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Here

x₁ = -3, y₁ = -1

x₂ = 3, y₂ = 3

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₂]

Substitute values in the equation, we get

⇒ y - (-1) = (3 - (-1))/(3-(-3))(x-(-3))

⇒ y + 1 = (4)/(6)(x + 3)

⇒ y + 1 = 2/3(x + 3)

⇒ y = (2/3)x + 2 + 1

⇒ y = (2/3)x + 3

⇒ 3y = 2x + 9

Thus, the required equation will be 3y = 2x + 9.

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Answer:

mn = k

Step-by-step explanation:

Given that,

m is inversely proportional to n.

ATQ,

[tex]m\propto \dfrac{1}{n}[/tex]

or

[tex]m=\dfrac{k}{n}[/tex]

Cross multiplying both sides,

mn = k

Hence, the required equation is "mn=k".

Answer:

[tex]x=55 \textdegree[/tex]

[tex]y=35 \textdegree[/tex]

Step-by-step explanation:

From the question we are told that

Sum of two angle =90

First angle is 15 less than twice the measure of the second angle.

Generally interpreting mathematically we have

Let x be the first angle and second angle y

[tex]x=2y-15[/tex]

Therefore

[tex]2y-15 +y=90[/tex]

[tex]3y=105[/tex]

[tex]y=\frac{105}{3}[/tex]

[tex]y=35 \textdegree[/tex]

Therefore

[tex]x+35=90[/tex]

[tex]x=90-35[/tex]

[tex]x=55\textdegree[/tex]

Answer:

5 miles

Step-by-step explanation:

Total miles Jillian runs in a week = 4 x 2 miles = 8 miles

Total miles she bikes each week = total miles in a week - total miles Jillian runs in a week

28 miles - 8 miles = 20 miles

Miles she bikes in a week =20/4 = 5 miles

Answer:

x = 4, y = 3

Step-by-step explanation:

   2x - 3y = -1

-   2x + y =  11

         -4y = -12

            y = 3

solve for 'x':

2x -3(3) = -1

2x - 9 = -1

2x = 8

x = 4

Answer: cool

Step-by-step explanation:

answer: (175+125)÷3

have a nice day

Answer:

the answer is below

Step-by-step explanation:

accidently made b to x

Answer:

the correct answer is number 3.

I'm 10000000000% sure.

the explanation is in the pictures.

Answer:

We need to remove 3 points from 3 duplicated pairs so this graph  so that it will be a function.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

From the graph, we can determine the table such as:

x            y

-3           2

-3           3

1             4

1            -4

2           -2

2            -4

It is clear that the values of x = -3, x = 1, and x = 2 are repeated twice.

In other words, there are 3 duplicated pairs.

We know that we can not have duplicated inputs as there should be only 1 output for each input.

Thus, we need to remove 3 points from 3 duplicated pairs so this graph  so that it will be a function.

Answer:

x = 13

Step-by-step explanation:

5x + 12x - 41 = 180

17x = 221

x = 13

Answer:

I need to know the question before I can help?

Step-by-step explanation:

Answer:

the slope will be 5/6 and the y- intercept is going to be (0,-5)

Step-by-step explanation:

use the slope-intercept form y=mx+b to find the slope (M) and the y-intercept (b)

Answer:

Undefined

Step-by-step explanation:

If x = 9, then.......

[tex]f(x) = \frac{x^{2} + 9x + 20}{x^{2} - 4x - 45} = \frac{9^{2} + 9(9) + 20}{9^{2} - 4(9) - 45} = \frac{182}{0}=[/tex] Undefined

Answer:

70.5°

Step-by-step explanation:

To solve for the ladder's angle of elevation, we solve using the Trigonometric function of Cosine

= cos θ = Adjacent/Hypotenuse

Where

Adjacent = Distance of the base from the house = 10ft

Hypotenuse = Length of the ladder = 30 ft

cos θ = 10/30

cos θ = 1/3

θ = arc cos 1/3

θ = 70.528779366

Approximately = 70.5°

Therefore, the ladder's angle of elevation is 70.5°

Answer:

I think A

Step-by-step explanation:

I think a because quotient means division