explain rounding up numbers i dont mean only examples but definitions too

Answer:

The correct option is;

C. This advanced training seminar did not reduce response time, t(35) = -1.43, p > 0.05

Step-by-step explanation:

The given parameters are;

The population mean response time, μ = 9 minutes

The number of police officers in the sample, n = 36

The mean response time after the training, [tex]\overline x[/tex] = 8 minutes

The standard deviation of the response time after the training, s = 4.2 minutes

The level of significance, α = 0.05

The null hypothesis; μ ≥ 9

The alternative hypothesis; μ < 9

The test statistic for the t-test is [tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex], therefore, we get;

[tex]t=\dfrac{8-9 }{\dfrac{4.2}{\sqrt{36}}} \approx -1.42857142857[/tex]

The degrees of freedom, df = n - 1 = 36 - 1 = 35

The critical-t at 0.05 level of significance is critical-t = 1.69, p(t < -1.43) > 0.05

and, we fail to reject the null hypothesis, therefore, the advanced training did not reduce the response time

Answer:

Slope (m)= 3

Step-by-step explanation:

m= (Y2-Y1)/(X2-X1)

m= (17-8)/(4-1)

m= 9/3

m=3

Answer:

es la a. 5+8 es esa amigo la respuesta

Answer:

150

Step-by-step explanation:

Answer:

The ratio of two sides of one right triangle is the same of the corresponding sides of any its similar triangles. ... Then a/b = A/B, which means that this ratio is a constant. The same for a/c = A/C, and b/c = B/C

Hope it helps

Please mark me as the brainliest

Thank you

We have derived the definitions of the three basic trigonometric ratios sin, cos, and tan using similar right triangles.

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

Similar right triangles can be used to derive the definitions of trigonometric ratios, which are commonly abbreviated as sin, cos, and tan.

Consider a right triangle ABC, where angle A is the right angle.

Let's draw another right triangle ABD where angle A is also the right angle and angle B is congruent to angle D.

We say that triangles ABC and ABD are similar, which means that their corresponding angles are congruent and their corresponding sides are proportional.

Let's label the sides of triangle ABC as follows:

The side opposite angle A is side a (the hypotenuse).

The side opposite angle B is side b.

The side opposite angle C is side c.

We can label the sides of triangle ABD as follows:

The side opposite angle A is side a (the hypotenuse).

The side opposite angle B is side x.

The side opposite angle D is side y.

Since triangles ABC and ABD are similar, we can write the following proportion:

b / a = x / y

Solving for b, we get:

b = (x / y) * a

Now, we can use the Pythagorean theorem to relate the sides of triangle ABC:

a² = b² + c²

Substituting b with its value, we get:

a² = ((x / y) a)² + c²

Simplifying, we get:

a² = (x² / y²) a² + c²

Multiplying both sides by y², we get:

a² x y² = x² a² + c² y²

Now, we can solve for x/y, which is equal to sin(B) and y/a, which is equal to cos(B):

sin(B) = x / y = sqrt(a^2 - c^2) / a

cos(B) = y / a = c / a

Similarly, we can consider another triangle ABE, where angle A is the right angle and angle B is congruent to angle E.

We say that triangles ABC and ABE are also similar.

Let's label the sides of the triangle ABE as follows:

The side opposite angle A is side a (the hypotenuse).

The side opposite angle B is side x.

The side opposite angle E is side z.

Using the Pythagorean theorem for triangle ABC, we get:

a² = b² + c²

Substituting b with its value from triangle ABE, we get:

a² = ((z / x) a)² + c²

Simplifying, we get:

a² = (z² / x²) x a² + c²

Multiplying both sides by x², we get:

a² x² = z² a² + c² x²

Now, we can solve for z/x, which is equal to tan(B):

tan(B) = z / x = √(a² - c²) / c

Therefore,

We have derived the definitions of the three basic trigonometric ratios sin, cos, and tan using similar right triangles.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

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Answer:

[tex]ED = 26[/tex]

[tex]CF = 13[/tex]

[tex]m \overset{\huge\frown}{ED} = 136[/tex]

[tex]m \overset{\huge\frown}{HD} = 68[/tex]

[tex]m \overset{\huge\frown}{CE} =88[/tex]

Step-by-step explanation:

Given

[tex]JG = JF[/tex]

[tex]GD = 13[/tex]

[tex]m \overset{\huge\frown}{CD} = 136[/tex]

See attachment for circle

Solving (a): Length ED

Line JD divides ED into two equal parts, EG and DG.

So:

[tex]ED = EG + GD[/tex]

[tex]ED = GD + GD[/tex]

[tex]ED = 13 + 13[/tex]

[tex]ED = 26[/tex]

Solving (b): Length CF

CF is a reflection of EG.

So:

[tex]CF = EG[/tex]

[tex]EG = GD = 13[/tex]

So:

[tex]CF = 13[/tex]

Solving (c): [tex]m \overset{\huge\frown}{ED}[/tex]

Since ED = CD;

Then:

[tex]m \overset{\huge\frown}{ED} = m \overset{\huge\frown}{CD}[/tex]

So:

[tex]m \overset{\huge\frown}{ED} = 136[/tex]

Solving (d): [tex]m \overset{\huge\frown}{HD}[/tex]

Line HF divides CD to 2 equal parts

So:

[tex]m \overset{\huge\frown}{HD} = \frac{1}{2} * m \overset{\huge\frown}{CD}[/tex]

[tex]m \overset{\huge\frown}{HD} = \frac{1}{2} * 136[/tex]

[tex]m \overset{\huge\frown}{HD} = 68[/tex]

Solving (e): [tex]m \overset{\huge\frown}{CE}[/tex]

[tex]m \overset{\huge\frown}{CE}[/tex] is a minor arc while [tex]m \overset{\huge\frown}{ED} = 136[/tex] + [tex]m \overset{\huge\frown}{CD} = 136[/tex] are the major arcs.

So:

[tex]m \overset{\huge\frown}{CE} + m \overset{\huge\frown}{ED} + m \overset{\huge\frown}{CD}= 360[/tex]

[tex]m \overset{\huge\frown}{CE} + 136+136= 360[/tex]

Collect like terms

[tex]m \overset{\huge\frown}{CE} =- 136-136+ 360[/tex]

[tex]m \overset{\huge\frown}{CE} =88[/tex]

Following are the calculated value " [tex]ED=26, CF=13\ , m \widehat{ED}=136^{\circ}\ , m \widehat{HD}=68^{\circ}\ , m \widehat{CE}=88^{\circ}\\\\[/tex]", and its complete calculation can be defined as follows:

[tex]\bold{JG=JF,GD=13,} \\\\ m \widehat{CD}=136^{\circ}\\\\[/tex]

When

[tex]m \widehat{CD}= m \widehat{ED}\\\\m \widehat{ED} = 136^{\circ}[/tex]

[tex]HJ \perp CD \\\\IJ \perp ED\\\\[/tex]

SO,

[tex]CF = FD \\\\EG=ED \\\\[/tex]

[tex]m \widehat{HD} = m \widehat{CH} = \frac{1}{2} m \widehat{CD}\\\\[/tex]

[tex]CF=13\\\\ ED = 13 \times 2 =26 \\\\ m \widehat{HD} = \frac{1}{2}\ m \widehat{CD} = 136^{\circ} \div 2 = 68^{\circ}\\\\m \widehat{CE} = 360^{\circ} -136^{\circ} - 136^{\circ} = 88^{\circ}\\\\[/tex]

Using the Vertical theorem and Theorem of the length of tangent to calculate the value:

[tex]ED=26\\\\CF=13\\\\m \widehat{ED}=136^{\circ}\\\\m \widehat{HD}=68^{\circ}\\\\m \widehat{CE}=88^{\circ}\\\\[/tex]

Note:

The given question is incomplete that's why we defined the question in the attached file and then solve it.

Find out more information about the arc of the circle here:

brainly.com/question/1577784

Answer:

8%

Step-by-step explanation:

The reason why is his grade is 72% right and it increased to 80%.

Subtract 80 from 72 which equals 8.

Answer:

0.00909090909

Step-by-step explanation:

Answer:

$2700

Step-by-step explanation:

Answer:

6 trips in total..,.............

Answer:

5

Step-by-step explanation:

Answer:

Y=3x-1

Step-by-step explanation:

Let x =1 then ,Y=(3×1)-1=2

Let x=2 then, Y=(3×2)-1=5

Let x=3 then Y=(3×3)-1=8

Let x=0 then Y=(3×0)-1=-1

Answer:

the long one because of the friction and you can gain speed the second way

Step-by-step explanation:

Answer:

6) 15

7)5

8)120 degrees

9)60 degrees

10)9

Step-by-step explanation:

GHIJ is a parallelogram.

Opposite sides of a parallelogram are congruent.

3y - 1 = 2y + 1

3y - 2y = 1 + 1

y = 2

Opposite sides of a parallelogram are congruent.

4x + 3 = x + 12

4x - x = 12 - 3

3x = 9

x = 9/3

x = 3

6)GH = ?

GH = 4x + 3

GH = 4(3) + 3

= 12 + 3

= 15

therefore, GH = 15

7) HI = ?

HI = 2y + 1

= 2(2) + 1

= 4 +1

= 5

therefore, HI = 5

Opposite angles of a parallelogram are equal.

8) m(angle I) = 120 degrees...... (given)

therefore, measure of angle G = measure of angle I

therefore, m(angle G) = 120 degrees

Consecutive angles of a parallelogram are supplementary.

9) m(angle I) + m(angle J) = 180 degrees

120 + m (angle J) = 180

m(angle J) = 180 - 120

= 60 degrees.

The diagonals of a parallelogram bisect each other.

10) JK = 9 .........( given)

JK = HK

therefore, HK = 9

Answer:

[tex]\displaystyle d = 8\sqrt{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Point (-4, -4)

Point (4, 4)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

R17700

Step-by-step explanation:

Dumsani earns R42480 per month. He splits his earnings in the ratio 7:5 and then saves the lesser amount. How much does he save?

First step

We are given the ratio 7:5

The sum of the proportion = 7 + 5 = 12

We are told that he saves the lesser amount

The lesser ratio = 5

Therefore, the amount he saves is

= 5/12 × R42480

= 5 × 3540

= R17700

Therefore, he saves R17700

Answer: 2b+4=-8 the answer is -6

Step-by-step explanation: I got this because you subtract 4 from both side which subtract 4 from 4 and subtract -8 from -4 you add those two up because they are both negative which you got -12 so your equation right now is 2b=-12 after that you divide 2 from 2b from both side and your answer is -6. I hope I helped with that one problem

Answer:

C

Step-by-step explanation:

p-2>6

add 2 both sides

p >8

p can only be greater than 8, and not equal to it, so the circle is open

Answer:

Step-by-step explanation:

6) Number of sides = n = 7

Sum of all the sides of the mentioned polygon = (n - 2)*180 = (7-2)*180 = 5 *180

                            = 900

x + 125 + 119 + 117 +145+133 +140 = 900

x + 779 = 900

      x = 900 - 779

      x = 121

7) Number of sides = n = 5

Sum of all the sides of the mentioned polygon = (n - 2)*180

     = 3 *180 = 540

90 + 9x - 6 + 3x +23 + 95 + 7x- 4 = 540

90 - 6 + 23 + 95 - 4 + 9x + 3x + 7x = 540

198 + 19x = 540

         19x = 540 - 198

        19x = 342

            x = 342/19

          x = 18

8) Number of sides = n = 8

Sum of all the sides of the mentioned polygon = (n - 2)*180

    = 6*180

    = 1080

This is a regular polygon (All sides are equal). so all the angles are equal.

One angle = 1080 ÷ 8 = 135

16x +23 = 135

       16x = 135 - 23

      16x = 112

         x = 112/16

     x  = 7

Hey there! I'll only explain you how to solve it and you'll have to find the answer yourself so you learn! <3 Anyhow, To simplify a complex fraction here are the steps.

(1) Convert mixed numbers to improper fractions.

(2) Reduce all fractions when possible.

(3) Find the least common denominator (LCD) of all fractions appearing within the complex fraction.

(4) Multiply both the numerator and the denominator of the complex fraction by the LCD.

(5) When possible reduce, simplify and convert to mixed numbers, any final fraction results.

Hope this helps! <3

Answer:

=425832

Step-by-step explanation:

i hope this helps :)

Answer:

425832

Step-by-step explanation:

I was trying as well gg

Answer:

y= 4(x+6)(x-3)

Step-by-step explanation:

same as before :)

Answer:

1) Part A

The function that models the situation is P = 8,300·(1 - 0.12)ⁿ

Part B

2626 people

Part C

1575 people

2) Part A

The function that models the situation is A = 342.000·(1 - 0.06)ⁿ

Part B

The value of the hose in 2025 is approximately $208,472.6

Part C

The value of the hose in 2032 is approximately $135,189.8

Step-by-step explanation:

1) Part A

The given parameters are;

Martianville population in 2012, P₀ = 8,300 people

The percentage annual decrease in the population, r = -12% = -0.12

The formula for the growth of a population is presented as follows;

P = P₀·(1 + r)ⁿ

Where;

P = The population amount at a later time

P₀ = The initial amount of the population

r = The rate of the population growth

n = The number of years

Therefore;

The function that models the situation is P = 8,300·(1 - 0.12)ⁿ

Part B

The population that will attend Martianville in 9 years is given as follows;

P₉ = 8,300 × (1 + (-0.12))⁹ = 8,300 × (1 - 0.12)⁹ ≈ 2626.77

Therefore, by rounding down to the next whole person, the population that will attend Martianville in 9 years, P₉ = 2626 people

Part C

The population that will attend Martianville in 13 years is given as follows;

P₁₃ = 8,300 × (1 - 0.12)¹³ ≈ 1575 people

2) Part A

The price at which the house was bought, A₀ = $342,000

The rate of decrease of the value of the house = 6% therefore, r = -0.06

The function that models the situation is presented as follows;

A = A₀·(1 + r)ⁿ

Therefore;

The function that models the situation is A = 342.000·(1 - 0.06)ⁿ

Part B

The number of years between 2025 and 2017 = 2025 - 2017 = 8 years

The value of the hose in 2025, A₂₀₂₅ = 342.000·(1 - 0.06)⁸ = 208,472.576981

The value of the hose in 2025, A₂₀₂₅ ≈ $208,472.6

Part C

The number of years between 2032 and 2017 = 2032 - 2017 = 15 years

The value of the hose in 2032, A₂₀₃₂ = 342.000·(1 - 0.06)¹⁵ = 135,189.795176

The value of the hose in 2025, A₂₀₃₂ ≈ $135,189.8

Answer:

t = 9

Step-by-step explanation:

t/3 = 12 - 9

t = 3 * 3

t = 9

Answer:

t=9

Step-by-step explanation:

t/3+9=12

t/3+9-9=12-9

t/3= 3

3xt/3 = 3x3

t=9

Answer:

I think the truck would be 210 inches long

Answer:

5h = $150

Step-by-step explanation:

Answer:

150 = 5h

Step-by-step explanation:

h = amount of hours

solve to find amount of hours she needs to work to earn $150

Answer:

49.65$

Step-by-step explanation:

(20.40 x 2) + 8.85 = 49.65 $

Answer:314

Step-by-step explanation:

V=pi r squared

V= 3.14x10 squared

10 squared= 100

V=3.14x 100

V= 314