The sample observations on stabilized viscosity of asphalt specimens are 2781, 2900, 3013, 2856 and 2888. Suppose that for a particular application, it is required that true average viscosity be 3000. Does this requirement appear to have been satisfied? State and test the appropriate hypothesis at α = 0.05.

Answer:

(2,1)

Step-by-step explanation:

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\\\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-5,\:-2\right),\:\left(x_2,\:y_2\right)=\left(9,\:4\right)\\\\=\left(\frac{9-5}{2},\:\frac{4-2}{2}\right)\\\\= (\frac{4}{2} , \frac{2}{2} )\\\\=\left(2,\:1\right)[/tex]

Answer:

x=-14

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

−5x = 15

-5x/-5 = 15/-5

x = -3

Answer:

C. -5

Step-by-step explanation:

Imagine a number line from -15 to 15.

Start at 15, and go left for 30 hops, since we are subtracting. This gives us -15.

Now, start at -15. We go right for 10 hops since we are adding. Where do we land? -5. Thus giving us our answer.

Or you can do it this way:

15-30= -15

-15+10= -5

-5

I hope this helped!

Answer:

c= 48/5

Step-by-step explanation:

Step-by-step explanation:

-81

[tex] \sqrt{ - 1} \: \times \sqrt{81} [/tex]

[tex] \sqrt{ - 1} = i [/tex]

[tex]i \times \sqrt{9 {}^{2} } [/tex]

[tex]i \times 9[/tex]

[tex]9i[/tex]

Answer:

-3.4 = (-17 /5) = -3 2/5

Step-by-step explanation:

Answer:

A. A syllogism

Step-by-step explanation:

The other 3 make no sense in this scenario, also I am in middle school make me brainlyest

Answer:

A syllogism.

Step-by-step explanation:

Note the 2 'middle' element b  are the same.

Answer:

Step-by-step explanation:

Area of a square = Length * Length

A = L²

Given the area of a square to be 172ft², to get the approximate length of each side of the square, we will substitute the area given into the formula above and calculate the value of L as shown;

[tex]A = L^2\\\\172 = L^2\\\\L^2 = 172\\\\[/tex]

take the square root of both sides;

[tex]\sqrt{L^2} = \sqrt{172} \\\\L = \sqrt{172} \\\\L = 13.11 ft\\\\L \approx 13.1ft[/tex]

Hence the  approximate length of each side of the square to the nearest tenth is 13.1 feet

Answer:

3(n-9)-2(n+4)=6n

3n-27-2n-8=6n

n-35=6n

-35=5n

n= -7

Step-by-step explanation:

3(n-9)-2(n+4)=6n

open the brackets by multiplication

3n-27-2n-8= 6n

n-35=6n

n=-7

Answer:

P prime would be (-12, -7)

=====================================================

Explanation:

The number of points goes down by 1 each time.

The first figure has 4 points on the circle. The second figure has 3 points, and after that is 2 points. So the fourth figure is mostly likely to have 1 point on the circle.

The next step in the circular series is Option C with a point on the circle

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the first figure be represented as A

A = figure with a rectangle with 4 points on the circle

Let the second figure be represented as B

B = figure with a triangle with 3 points on the circle

Let the third figure be represented as C

C = figure with a line with 2 points on the circle

Let the next series be represented as D

where D should have only 1 point on the circle

Hence , the figure is Option C with a point on circle

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Answer:

9 weeks

Step-by-step explanation:

$12 times 8 weeks =$96. Since that is not enough to pay him back you have to add one more week $12 times 9 weeks to get $108.

Answer:

Neither Priya nor Tyler is correct. Both are wrong.

Step-by-step explanation:

Figure D is the only shape that we can refer to as a scaled copy of figure A. This is because, from observation, all segments that make up figure D are times two of the corresponding segments that make up figure A.

Whereas, if we compare figure B, and C with figure A, not all of their segments is twice as the corresponding segments of figure A.

Therefore, both Priya and Tyler are wrong. We cannot agree with any of them.

Answer:

Use the interactive to solve the following problems:

What is the difference between –12 and –5?

✔ -7

What is the distance between –12 and –7 on a number line?

✔ 5

units

Step-by-step explanation:

The difference between -12 and -5 is 7.

The distance between -12 and -7 on a number line is 5 units.

""

1. The difference between -12 and -5 is

= (- 5) - (- 12)

= - 5 + 12

= 7

2. The distance between -12 and -7 on a number line is

= [(- 7) - (- 12)] units

= (- 7 + 12) units

= 5 units

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Steps to solve:

2(42 - a) = 48

~Distribute left side

84 - 2a = 48

~Subtract 84 to both sides

-2a = -36

~Divide -2 to both sides

a = 18

Best of Luck!

Answer:

<   is less than

> is greater than

Step-by-step explanation:

<   is less than

> is greater than

Answer:

3.6 or 3 3/5

Step-by-step explanation:

invert the 5/6 to 6/5 and multiply 3x6/5 which would get you 3 3/5

Answer:

the answer is b .

Step-by-step explanation:

Answer:

b. there are no exceptions, because all of the statements above are true.

Step-by-step explanation:

Hypothesis testing refers to the method which is used to test the outcomes of the hypothesis. The result of the experiment conducted is analyzed whether or not the desired results are found. It helps in justifying and finding conclusions in the absence of the scientific theories about the conclusions. A null hypothesis is to be known by the individual before performing the Hypothesis testing.

Answer:

210 pages

Step-by-step explanation:

7 pages = 10 minutes

A pages = 30 minutes

A = 210 pages

The student read 21 pages in 30 minutes if the student can read 7 pages of a book in 10 minutes.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

A student can read 7 pages of a book in 10 minutes.

Let's suppose the student read x number of pages in 30 minutes.

Mathematically,

7 pages → 10 minutes

x pages →  30 minutes

7/x = 10/30

7/x = 1/3

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

x = 7×3

x = 21 pages

Thus, the student read 21 pages in 30 minutes if the student can read 7 pages of a book in 10 minutes.

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Answer:

t= 12.9 years

Step-by-step explanation:

Value after t years = initial value ( 1 - r )^t

Where,

Value after t years= $5000

Initial value = $22,400

r= depreciation rate = 11%

t= length of time (years)

Value after t years = initial value ( 1 - r )^t

5000 = 22,400 ( 1 - 0.11)^t

5000 = 22,400(0.89)^t

Divide both sides by 22,400

(0.89)^t = 5000 / 22,400

(0.89)^t = 0.2232

Take the log of both sides

t log 0.89 = log 0.2232

t= log 0.2232 / log 0.89

= -0.6513 / -0.0506

= 12.87

t= 12.9 years

Answer:

x=23

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(x) = 3x^2 + 6x + 3

a of s: -6/6 = -1

3(-1)^2 + 6(-1) + 3

3 - 6 + 3

-3 + 3 = 0

(-1,0)

answer is A. the first one

Answer:

25%

Step-by-step explanation:

Answer:

1,49 10^8 Km²

Step-by-step explanation:

Answer:

15 or -23

Step-by-step explanation:

I think you probably already turned this in but in case you haven't:

ST = 19 means that line segment ST is 19 units long. If we know that S is at -4, then T has to be 19 units away from -4, right?

So there's two directions we could go.

Add 19 to -4 to get 15, so T could be at 15. (If there's a line drawn between -4 and 15, it would be 19 units long.)

But the line could go left, towards negative infinity, too. So if we subtract 19 from -4, we'd get -23. T could also be at -23. (If there's a line drawn between -4 and -23, it would also be 19 units long. There's no such thing as a negative length.)

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Answer:

9 kilograms

Step-by-step explanation: