If a hypothesis is tested at the α=0.05 level of significance, what is the probability of making a type i error?

Answer: x = 25

Step-by-step explanation:
2x-10 = x+15
x = 15+10

x=25

The required value of x in the given triangle is 25, evaluated by following the definition of angle bisectors.

Given that, MNO is a triangle, where OP is the angle bisector, in the given scenario we have to determine the value of the x.

Following the definition of an angle bisector, the angle bisector for any angle bisects the angle into two equal halves, So,
Angle PNO = Angle PMO
2x-10=x+15

Simplify the above expression to evaluate x.
2x-10=x+15
2x-x=15+10
x=25

Thus, the required value of x in the given triangle is 25, by following the definition of angle bisectors.

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The average rate of change of h(x) on the interval [-1, 8] is r = -3.6

For any function, the average rate of change on an interval [a, b] is given by:

r = ( f(b) - f(a))/(b - a)

In this case, the function is:

h(x) = -x^2 + 4x + 12

And we want to find the average rate of change on the interval [-1, 8]

Evaluating the function in these values we will get:

h(-1) = -(-1)^2 + 4*(-1) + 12

h(-1) = -1 - 4 + 12 = 7

h(8) = -(8)^2 + 4*8 + 12 = -20

Then the average rate of change is:

r = ( h(8) - h(-1) )/(8 + 1)

r = (-20 - 12)/9

r = (-32/9) = -3.6

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The graph of the given function is attached below.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

The graph of the function y = -2log2(x+3) + 2 is a downward-sloping curve that approaches the x-axis as x approaches infinity.

The curve is defined only for positive values of x, as the logarithm is undefined for negative values.

As x increases, the logarithm term inside the parentheses becomes larger in magnitude, causing the value of y to decrease rapidly.

The curve approaches the x-axis but never touches it, as the logarithm term will never reach zero.

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Answer:

84 divided by 7 - 5x

Step-by-step explanation:

If 4 cm and 7 cm are the lengths of two sides of a triangle then the length of the third side should be 6 cm.

In the given question we have to check 4 cm and 7 cm are the lengths of two sides of a triangle then the length of the third side may be.

Any two sides of a triangle can have a sum of lengths that is always greater than the length of the third side.

Any two triangle sides' length differences will never be greater than the triangle's third side's length.

The sum of 4cm and 7cm is 11cm, and their difference is 3cm.

The third side's possible length must be larger than 3 cm and less than 11 cm to ensure that the aforementioned rule is not broken.

6 cm is therefore larger than 3 cm and less than 11 cm from the possibilities presented.

The triangle's third side measures 6 cm in length.

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In linear equation, The number of pounds of apples is 12 and the number of pounds of raspberries is 20.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                    Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Given that, the cost of a pound of apples = $2.25 and the cost of a pound of raspberries = $1.50.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of pounds of apples be x, then the number of pounds of raspberries(y) be y=x+ 12

Now, the total cost of apples = The number of pounds of apples × The cost of a pound of apples

=x × 1.50

= 1.50x

The total cost of raspberries = The number of pounds of raspberries × The cost of a pound of raspberries

=(x+12) × 3

=3x+ 36

So, the total cost = The total cost of apples + The total cost of raspberries

⇒ 72 = 1.50x+ 3x+ 36

⇒  72 = 4.5x + 36

        4.5x = 72-36

            x =  8

So, y= x+ 12 = 20

Therefore, the number of pounds of apples is 12 and the number of pounds of raspberries is 20.

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Answer:

1/15

Step-by-step explanation:

Dividing a fraction by a whole number

3/5 ÷ 9

Copy dot flip

3/5 * 1/9

Rewriting

3/9 * 1/5

1/3 * 1/5

1/15

Answer:

1/15

Step-by-step explanation:

3/5 ÷ 9

3/5 × 1/9

1/5 × 1/3

1/15

Answer: x=-5

Step-by-step explanation:

first answer

The least common denominator (LCD) of 3/4 and 5/6 is 12

To discover the least common denominator, list the multiples of both denominators until you find the smallest multiple that both denominators share. Because 20 is the first shared multiple of 4 and 5, it must be the fractions’ least common denominator.

The least common denominator (LCD) of a group of fractions is the least common multiple (LCM) of their denominators.

In this case, the denominators of the fractions are 4 and 6. The least common multiple (LCM) of 4 and 6 is 12. Therefore, the least common denominator of 3/4 and 5/6 is 12.

You can also find the LCM by finding the prime factorization of the numbers, and then take the highest power of each prime factor and then multiply those.

[tex]4 = 2^2\\6 = 2*3[/tex]

The highest power of 2 and 3 are [tex]2^2[/tex] and 3 respectively, so LCM(4,6) = [tex]2^2 * 3 = 12[/tex]

So the LCD of 3/4 and 5/6 is 12.

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Complete question is: What is the least common denominator of 3/4 and 5/6?

The solution of the inequality for n is n > 31/40

Inequality is a statement of an order relationship greater than or equal to less than between two numbers or algebraic expressions.

Inequalities are not only driven by and measured by income but are also determined by other factors including gender origin, ethnicity, disability,  class and religion. Moreover inequalities are determined not only by income but also by other factors.

How to solve the inequality?

The inequality is given as

n minus three eighths is greater than negative two fifths

Rewrite properly as

n - 3/8 > 2/5

Add 3/8 to both sides

n > 3/8 + 2/5

Evaluate the sum

n > 31/40

Hence, the solution of the inequality for n is n > 31/40

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The mantissa of scientific notation or standard form is between 1 and 10 in absolute value, or 1 ≤ |a| < 10.  It can be 1, hence, it does not have to be greater than 1.

Standard form is also called scientific notation and has the form:

a x 10ᵇ

Where b is an integer and is called exponent.

a is a real number between 1 and 10 (in absolute value), it includes 1 but not 10, or we can write a should satisfy 1 ≤ |a| < 10.

Usually, a is called mantissa.

Example:

2467 can be written in standard form as:

2467 = 2.467 x 10³

0.0095 can be written in standard form  as:

0.0095  = 9.5 x 10⁻³

150 x 10² can be written in standard form  as:

150 x 10² =1.5 x 10⁴

-0.062 can be written instandard form  as:

-0.062 = -6.2 x 10⁻²

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Answer:

y = -2/3x

Step-by-step explanation:

Answer:

<B = 83* and x = 5

Step-by-step explanation:

<D = 83*
<CAD = 50* = <BCA
<ACD = 180 - (50+83) = 47* = <CAB

<B = 180 (sum of interior angles of triangle ABC) - <BCA - <CAB

<B = 180 - 50 - 47 = 83*

AD = BC

5x = 25

x = 5

Hope this helps!

Answer:

x=47 degrees

Step-by-step explanation:

We can use trigonometry to solve this problem.

the sine of the angle is equal to the side opposite the angle divided by the hypotenuse

so we have [tex]sin(x)=\frac{19}{26}[/tex]

now, in order to get x by itself, we have to take the inverse sine of both sides.

[tex]x=sin^{-1} (\frac{19}{26} )[/tex]

now we can plug this into a calculator.

we get 46.95 degrees

I think there is a typo in option D. because it says to find the nearest whole number but 4.6 is not a whole number.

Answer:

jejejdhudsjhshsiwvvjsjsjd

Answer:

C. 15 and 2

Step-by-step explanation:

The seven types of triangles based on side length are equilateral triangle, isosceles triangle, scalene triangle and based on angles are acute triangle, right triangle, obtuse triangle and oblique triangles.

Equilateral triangle: A triangle with all three sides of equal length and all angles of 60 degrees.

Isosceles triangle: A triangle with two sides of equal length and two angles of equal measure.

Scalene triangle: A triangle with all three sides of different lengths and all angles of different measures.

Right triangle: A triangle with one angle measuring exactly 90 degrees.

Acute triangle: A triangle with all angles measuring less than 90 degrees.

Obtuse triangle: A triangle with one angle measuring greater than 90 degrees.

Oblique triangle: A triangle that is not a right triangle, which means all angles are not 90 degrees.

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Answer:

y = 7

Step-by-step explanation:

12-5=7

7+5=12

Answer:

y = 7

Step-by-step explanation:

12 - y = 5

Subtract 12 from both sides.

-y = -7

Multiply both sides by -1.

y = 7

The statement about the probability of temperatures falling below 32°F in Maine in January, that is true, is B. The probability is 100.

Probability is a measure between 0 and 100 % or 0 and 1 that measures the likelihood of something happening. Probabilities that are closer to 1 or 100 % are more likely than not to happen.

Maine has a cold climate in the winter and January is a winter month. This means that there is a hundred percent chance that in January, the temperatures will fall below the temperature of 32 ° F, is 100 %.

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Full question is:

Maine has a cold climate in the winter. Which statement about the probability of temperatures falling below 32°F in Maine during the month of January is most likely true?

Answer: v would be root2 and u would be 2

Step-by-step explanation:

Answer:

equation: 2(2w + 2) = 60

length = 16

width = 14

Step-by-step explanation:

width = w

length = w + 2

perimeter = 2(w + w + 2) = 60

equation: 2(2w + 2) = 60

4w + 4 = 60

4w = 56

w = 14

width = 14

length = w + 2 = 14 + 2 = 16

length = 16

Answer: -5y

Step-by-step explanation:

2.5+-5y-2.5

=-5y

or 0+-5y

Answer:

15m, 1,800c​m, 7km

Step-by-step explanation:

Ascending order mean from smallest value to largest value

We know

1km = 1000m

1km = 100000cm

1) 15m = 0.015km

2) 7km

3) 1800cm = 0.018km

So, the order is

15m, 1,800c​m, 7km

Answer:

24 cups

Step-by-step explanation:

16/8 = 2

[tex]\frac{2}{1}[/tex] = [tex]\frac{x}{12}[/tex]

Since 1 x 12 = 12, then 2 x 12 = 24

Answer:

The only even prime number is 2.

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To dilate a triangle with center points we multiply the coordinates of the points in the preimage by the scale factor to determine the points in the image.

What is a scale factor?

A scale factor is a numerical value that is used to represent an object's larger or shrunk shape. It is a number that can be used to alter the size of any geometric figure or shape in relation to its initial size. It aids in altering the figure's size but not its shape.

Here,

we have to determine how we dilate a triangle with center points.

We concluded that

The origin is often used as the center of dilation. If you are dilating a figure centered at the origin, you can multiply the coordinates of the points in the preimage by the scale factor to determine the points in the image.

Hence, to dilate a triangle with center points we multiply the coordinates of the points in the preimage by the scale factor to determine the points in the image.

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From the provided value of the paid price of the car and sales tax percentages, The answer is $564.

Percentages are a way to express a number as a part of 100. The symbol for percentage is %. For example, 25% means 25 out of 100, or one quarter. To convert a percentage to a decimal, divide it by 100. For example, 25% = 25/100 = 0.25. To convert a decimal to a percentage, multiply it by 100. For example, 0.25 = 0.25 * 100 = 25%. You can also calculate percentage by multiplying the number with the percentage rate. For example, if you want to find out what 25% of 50 is, you can calculate it by multiplying 50 by 0.25 (since 25% is the same as 0.25 as a decimal).

Tax is a financial charge imposed by a government on individuals, businesses, and other entities. The revenue generated by taxes is used to fund government programs and services such as infrastructure, education, healthcare, and defense. There are many types of taxes, including income tax, sales tax, property tax, and capital gains tax. The specific tax that a person or entity is required to pay depends on the jurisdiction and the type of activity or transaction involved. Tax laws and rates can vary widely between countries and even within a country.

Griffith paid 6% of $9400 in sales tax. To find out how much that is, you can multiply $9400 by 0.06 (since 6% is the same as 0.06 as a decimal).

$9400 * 0.06 = $564

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Answer:

100

Step-by-step explanation:

week 7 = 110

week 8 = 100

week 9 = 90

week 10 = 110

........

Angle CAS is another name for Angle SAC. It is necessary to come up with another name for Angle SAC.

A line is a one-dimensional straight shape with no thickness that extends endlessly in both directions. A line is made up of a series of points that stretch in opposite directions indefinitely. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.

Given:

Given a ray diagram,

Ray RS is given and point A & T are on between R & S.

Another ray DC cuts the ray RS at point A.

The ray AS cuts the point A.

One more ray is AB ,there is no any point to cut.

<SAC, we can also write this angle in form < CAS.

So,

∠SAC = ∠CAS (same angle)

Angle SAC is also known as Angle CAS. Angle SAC requires a new name.

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Diagram is missing