What is the sum of the interior
angles in a 15-sided polygon?
Sum =

Complete question :

Assume that both populations are normally distributed. ​a) Test whether mu 1 not equals mu 2 at the alpha equals 0.05 level of significance for the given sample data. ​b) Construct a 95​% confidence interval about mu 1 minus mu 2. Sample 1 Sample 2 n 19 19 x overbar 16.2 14.1 s 4.5 3.1

Answer:

(-0.445 ; 4.645)

Null:

H0: mu1 - mu2 = 0

H1 : mu1 - mu2 ≠ 0

Step-by-step explanation:

__________Sample 1 ____ Sample 2

n ___________19 _________19

x overbar ____16.2 ________14.1

s __________ 4.5 _________3.1

The confidence interval : (2 independent means)

(x1 - x2) ± Tcritical * √(s1²/n1) + (s2²/n2)

T(1 - α/2), 36 = 2.03

(16.2 - 14.1) ± 2.03 * √(4.5²/19) + (3.1²/19)

2.1 ± 2.545

Lower boundary = (2.1 - 2.545) = - 0.445

Upper boundary = (2.1 + 2.545) = 4.645

(-0.445 ; 4.645)

Answer:

[tex]y = 10x[/tex]

Step-by-step explanation:

Given

The attached plot

Required

The line of the best fit using [tex](8,80)[/tex] and [tex](2,20)[/tex]

We have:

[tex](x_1,y_1) = (8,80)[/tex]

[tex](x_2,y_2) = (2,20)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{20 - 80}{2- 8}[/tex]

[tex]m = \frac{-60}{-6}[/tex]

[tex]m = 10[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 10(x - 8) + 80[/tex]

Expand

[tex]y = 10x - 80 + 80[/tex]

[tex]y = 10x[/tex]

9514 1404 393

Answer:

  33√2 in ≈ 46.7 inches

Step-by-step explanation:

The diagonal of a square is √2 times the side length, so for side length s we have ...

  s√2 = 66 in

  s = (66 in)/√2

  x = 33√2 in ≈ 46.7 in . . . . length of each side of the blanket

Answer:

D. angle 7 and angle 5.

Step-by-step explanation:

Angle 7 and angle 5 are vertical angles; vertical angles will always be congruent (equal).

Answer:

[tex]2.66 \times {10}^{ - 26} = 0.266  \times {10}^{ - 25} [/tex]

[tex]1.99 \times {10}^{ - 26} = 0.199 \times {10}^{ - 25} [/tex]

[tex]1.67 \times {10}^{ - 27} = 0.167 \times {10}^{ - 26} [/tex]

[tex]2.33 \times {10}^{ - 26} = 0.233 \times {10}^{ - 25} [/tex]

[tex]6.65 \times {10}^{ - 26} = 0.665 \times {10}^{ - 25} [/tex]

[tex]5.14 \times {10}^{ - 26} = 0.514 \times {10}^{ - 25} [/tex]

Step-by-step explanation:

good luck

Answer:

The hypotenuse. Since it is the opposite of the right angle

The largest number is the hypotenuse

therefore, 15 is the answer.

Answer:

c

Step-by-step explanation:

The hypotenuse. Since it is the opposite of the right angle

The largest number is the hypotenuse

therefore, 15 is the answer.

Answer:

The equation that best represents this model is [tex]P(x) = 10000(1.08)^x[/tex]

Step-by-step explanation:

Exponential equation for population growth:

The exponential equation for population growth, after x years, is given by:

[tex]P(x) = P(0)(1+r)^x[/tex]

In which P(0) is the initial population and r is the growth rate.

A model predicts that the population of a certain town was 10,000 in 2001.

This means that [tex]P(0) = 10000[/tex]

8% yearly increase.

This means that [tex]r = 0.08[/tex]. So

[tex]P(x) = P(0)(1+r)^x[/tex]

[tex]P(x) = 10000(1+0.08)^x[/tex]

[tex]P(x) = 10000(1.08)^x[/tex]

The equation that best represents this model is [tex]P(x) = 10000(1.08)^x[/tex]

Answer:

0.8 inches

Step-by-step explanation:

< R = 180-23-22 = 135°

the length of s = 1.5 × sin 23° / sin 135°

= 1.5 × 0.391 / 0.707 = 0.5865/0.707

= 0.8 inches

Answer:

5

Step-by-step explanation:

If you subtract the same thing from both sides, and you are left with 0 = 0, there are infinitely many solutions.

5x + 5 = 5x + ____

Subtract 5x from both sides.

5 = ____

What do you need on the right side, so that when you subtract the same number from both sides you end up with 0 = 0? Answer: 5.

5 = 5

Subtract 5 from both sides.

0 = 0

Let's go back to the original problem, and use a 5 in the blank.

5x + 5 = 5x + 5

Subtract 5x from both sides, and subtract 5 from both sides.

0 = 0

Since 0 = 0 is a true statement, the equation is true for every value of x.

Answer: 5

Answer:

4, 860 yards

Step-by-step explanation:

To find area multiply l*w. So, multiply 90 by 54 to get your answer:

90 yards × 54 yards = 4, 860 yards

if rectangular field is 90 yards long and 54 yards wide then the area of the field is 4860 square yards.

The area of Rectangle is length times of width.

Given that Grass seed is going to be spread over a playing field.

The number of bags of seed needed depends on the size of the field.

The rectangular field is 90 yards long and 54 yards wide.

We need to find the area of the field.

Length of field = 90 yards

Width of field = 54 yards

Area of Field = Length×Width

=90×54

=4860 square yards.

Hence, if rectangular field is 90 yards long and 54 yards wide then the area of the field is 4860 square yards.

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Answer:

You'll need to look at the attached formula.

Annual Payout = 500,000 * .12 * (1.12)^15 / [(1.12)^15  -1]

Annual Payout = 500,000 * .12 * 5.4735657593 / [ 5.4735657593 -1]

Annual Payout = 500,000 * .12 * 5.4735657593 / [4.4735657593]

Annual Payout = 60,000 * 5.4735657593 / [4.4735657593]

Annual Payout = 73,412.12

Source: http://www.1728.org/annupay.htm

That's a LOT of calculating :-)

Step-by-step explanation:

Answer:

A=38.88 or 38.9

Step-by-step explanation:

If both are similar then the 9 and the 7.2 are the same

9-7.2= 1.8

9x6=54

7.2-1.8=5.4

7.2x5.4=38.88 or 38.9

Answer:

you have a chance of having a baby...

Answer:

chance of relief stress and having a baby

Step-by-step explanation:

hope it helps you

Answer:

6:15

Step-by-step explanation:

Boys : Girls

6    :   15

Answer: Choice B is correct.

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

Explanation:

We are told that the derivative function f ' (x) is positive for all real numbers x. This means that f(x) is increasing for all real numbers. An increasing function goes uphill as you move from left to right. This rules out choices C and D.

We're also told that the integral of f(t), from t = 4 to t = 7, is equal to 0. Because f(x) is increasing, this must mean that some portion of f(x) is below the x axis and some portion is above the x axis when focused on the interval of [tex]4 \le x \le 7[/tex]. This allows us to rule out choice E since there are no portions that are below the x axis here.

At this point, the answer is between A and B. We can rule out choice A for similar reasoning we did with choice E. This time, there is no portion that is above the x axis. We need a negative area (below the x axis) to counterbalance with a positive area (above the x axis) so that the two areas cancel out and add to 0. That doesn't happen with choice A.

The only thing left is choice B so that must be the answer. We have a portion below the x axis and a portion above it, so it's possible that these two areas cancel out to add to 0. Since we don't know the actual f(x) function, it's impossible to tell whether that happens or not.

Answer:

6

Step-by-step explanation:

this is how I calculate:

2x + x  = 9

3x=9

x=3 girls

2(3)=6

6 boys

Answer:

10.8 years

Step-by-step explanation:

18700 = 9500(1 + 0.0625/365)^365t    where t is the time in years.

(1 + 0.0625/365)^365t = 18700/9500

365t ln(1 + 0.0625/365) = ln 18700/9500

t =  ln 18700/9500 / 365 ln(1 + 0.0625/365)

10.837

= 10.8 years.

Answer: A

Step-by-step explanation: 1.5 x 4 = 6, using the Pythagorean theorem we get 1/2(AB). So we have 1/2 x 6 = 3

9514 1404 393

Answer:

  a) 3 in²

Step-by-step explanation:

The area is given by the formula ...

  A = 1/2bh

where b is the base length, and h is the height perpendicular to the base.

For this triangle, the area is ...

  A = 1/2(4 in)(1.5 in)

  A = 3 in²

Answer:

Step-by-step explanation:

Answer:

area i belive u add or multiply look it us it will tell u

Answer:

I think the answer is 108.04

Answer:

Es 46m. (opción B)

Step-by-step explanation:

12m. x 2 = 24m.

11m. x 2 = 22m.

22m. + 24m. = 46m.

Espero que te ayude

Answer:

5x4x2

Step-by-step explanation:

The total area of the figure id 35 square cm.

The amount of space taken up by a two dimensional space is called area.

The formula for the area of a triangle is

[tex]A = \frac{1}{2} (b)(h)[/tex]

Where,

A is the area of triangle.

b is the base of a triangle.

h is the height of the triangle.

The formula for the area of square is

[tex]Area = a^{2}[/tex]

Where,

a is the side length of square.

According to the given question.

A triangle is resting on a square.

Side length of square, a = 5cm

So, the area of square = [tex]5^{2} = 25 square cm[/tex]

Also, a triangle with height 4cm.

Since, the triangle is resting on a square.

⇒ Base length of the triangle = 5cm

So, the area of triangle = [tex]\frac{1}{2} (5)(4)= 10 square cm[/tex]

Therefore,

The total area of the given figure  = Area of square + Area of triangle

⇒ Total area of figure = (25 + 10) square cm

⇒ Total area of figure = 35 square cm

Hence, the total area of the figure id 35 square cm.

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Answer:

Is there an image to visualize the field?

Step-by-step explanation:

I would love to help.

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Types of shifting.

1.) Shift up, down, right and/or left - Translation

2.) A flip over line - Reflection

3.) A turn over a point - Rotation.

4.) A change in size - Dilation

Answer:

1.) Shift up, down, right and/or left - Translation

2.) A flip over line - Reflection

3.) A turn over a point - Rotation.

4.) A change in size - Dilation

Answer:

$2.16

Step-by-step explanation:

150 * 4 = 600watt-hours

600 = 0.6kilowatt-hours

0.6 * 30 = 18kilowatt-hours

18 * 0.12 = $2.16

Answer:

3603600

Step-by-step explanation:

I used my calculator