Suppose you are a civil engineer, specializing in traffic volume control for the City of Grand Rapids. Your department has been receiving a multitude of complaints about traffic wait times for a certain intersection in the heart of downtown. To see if these claims are valid, you want to monitor the true average wait time at that intersection. Over the course of a few months, you record the average number of minutes a car waits at the intersection between 4:00 PM and 5:00 PM. With a sample size of 9 cars, the average wait time is 6.79 minutes with a standard deviation of 2.2175 minutes. Construct a 99% confidence interval for the true average wait time for a car at the intersection between 4:00 PM and 5:00 PM.

3/4 up 3 over 4, its a positive slope

Answer:

the answer is %25

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

the styles of different cars are qualitative because it is not given a number, just the different styles.  

Hope this helps

Answer:

150

Step-by-step explanation:

15 times 8 = 120

14-8 = 6

6 times 5 = 30

150

Answer:

5

Step-by-step explanation:

See the image below:)

Answer:

Sterling Corporation

a. Arguments to support the minority shareholders' claim include:

1. If there is a provision to this effect in the Shareholders' agreement,

2. If the minority shareholders can prove that Wilcox oppressed the minority shareholders by selling off his shares in the corporation, and

3. If the Shareholders' agreement forbids Wilcox from selling off his shareholdings.

b. The arguments to reject the minority shareholders' claim include:

1. As the majority shareholder, Wilcox dictates the direction of firm until the sale-off.

2. Wilcox is within his rights to sell his shares to Conrad.

3. Wilcox does not oppress the minority shareholders with the sale to Conrad.

c.  Wilcox should prevail.  Apparently, he did not act illegally or contrary to agreement.

Step-by-step explanation:

Shareholding of Wilcox (chief executive officer and chairman of the BOD) = 60%, which is > 50%.

Shareholding of Minority shareholders = 40%, which is <50%

Market price per share of Sterling Corporation = $22

Selling price of Wilcox's shares = $29

Excess of the market price = $7 ($29 - $22)

Answer:

The answer is D 763.

Step-by-step explanation:

Don't have an explanation

A chicken farmer needs to sell 763 crates to realize a profit of $11,300.

Equation

A statement of equivalence between two expressions containing variables and/or numbers is called an equation. In essence, equations are questions, and attempts to discover systematic answers to those questions have spurred the development of mathematics.

Equation according to the given information

Based on the given information describe the problem is equation.

(34.24 × x) - (7312 + 9.86x) = 11300

34.24x - 7312 - 9.86x = 11300

34.24x - 9.86x = 11300 + 7312

24.38x = 18612

x = 18612 / 24.38

x = 763

Hence chicken farmers need to sell 763 crate

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Answer:

the answer to the question is y=x+2.

Answer:

Length = 9 units

Area = 135 square units

Area = Length x Breadth

135 = 9 x Breadth

Breadth = 15units

[tex]By \ pythagorean \ theorem\\\\Diagonal ^ 2= Length^2 + Breadth^2\\\\[/tex]

               [tex]= 9^2 + 15^2 \\= 81 + 225 \\=306[/tex]

[tex]Diagonal = \sqrt{306} = 17.49[/tex]

Diagonal = 17.5 units

Rounding to the nearest tenth of a unit, the length of the diagonal of the rectangle is approximately 17.5 units.

To find the length of the diagonal of a rectangle, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the length of the rectangle is given as 9 units, and we need to find the length of the diagonal.

Let's assume the width of the rectangle is 'w'.

We know that the area of a rectangle is given by the formula: length × width = area.

So, 9w = 135

Dividing both sides of the equation by 9, we get: w = 15.

Now, we have the length (9 units) and the width (15 units) of the rectangle.

Using the Pythagorean theorem, we can find the length of the diagonal (d):

d² = 9² + 15²

d² = 81 + 225

d² = 306

Taking the square root of both sides, we get:

d ≈ √306 ≈ 17.5

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I'm going to refer to the two separate triangles in this problem by their missing angles. So the smaller triangle is triangle 1, and the larger triangle is triangle 2.

Let's work on triangle 1 first.

We can easily find the supplementary angle to the 115 degree angle in the middle there, which is in triangle 1.

180 - 115 = 65

Now that we know two of the angles in the triangle, and we know that the sum of the interior angles in a triangle is 180, we can find our missing angle 1.

80 + 65 + <1 = 180

145 + <1 = 180

<1 = 35 degrees

Now let's go ahead and move on to triangle 2.

We can again find the supplementary angle to the 115 degree angle in the middle there, which is in triangle 2 also.

180 - 115 = 65

Then, we can use the same principle as we did with triangle 1 to find our missing angle 2 in triangle 2.

85 + 65 + <2 = 180

150 + <2 = 180

<2 = 30 degrees

Hope this helps!! :)

Answer:

1340-

Step-by-step explanation:

Answer:

[tex]4.\ \sin E = \cos G[/tex]

Step-by-step explanation:

Given

[tex]\triangle EFG[/tex]

[tex]\angle F = 90^o[/tex] --- right angle

Required

Which of the options is true

In a triangle, we have:

[tex]\angle E + \angle F + \angle G = 180^o[/tex] --- angles in a triangle

Substitute [tex]\angle F = 90^o[/tex]

[tex]\angle E + 90^o + \angle G = 180^o[/tex]

Collect like terms

[tex]\angle E + \angle G = 180^o -90^o[/tex]

[tex]\angle E + \angle G =90^o[/tex]

This implies that E and G are complementary angles.

For complementary angles, E and G;

[tex]\sin E = \cos G[/tex] and [tex]\sin G = \cos E[/tex]

Hence, (4) is true

Answer:

Volume of regular pentagonal prism = 1.72 cm³ (Approx.)

Step-by-step explanation:

Given:

Side of regular pentagonal prism = 1 cm

Height of regular pentagonal prism = 1 cm

Find:

Volume of regular pentagonal prism

Computtaion:

Volume of regular pentagonal prism = (1/4)[√5(5+2√5)]a²h

Volume of regular pentagonal prism = (1/4)[√5(5+2√5)](1)²(1)

Volume of regular pentagonal prism = (1/4)[√5(5+2√5)]

Volume of regular pentagonal prism = (0.25)[√5{5+4.472}]

Volume of regular pentagonal prism = (0.25)[√5{9.472}]

Volume of regular pentagonal prism = (0.25)[√47.36]

Volume of regular pentagonal prism = (0.25)[6.8818]

Volume of regular pentagonal prism = 1.72045

Volume of regular pentagonal prism = 1.72 cm³ (Approx.)

Answer:

217.96 or 218.0 in Big Ideas Math

Step-by-step explanation:

volume of the whole prism - smaller inner prism

Bigger Prism (apothem = 4, height = 6)

360/5 = 72   72/2 = 36

4 · tan (36) = 2.906

2.906 · 4 = 11.6247

11.6247 · 5 = 58.1234  ← The area of the Pentagon

58 · 6 = 348.740 ← The Bigger Prism Volume

Smaller Prism (apothem = 3, height = 4)

Keep in mind that the bottom, sides, and top of the box is one centemeters thick ⇒ smaller pentagon ⇒ (apothem = 4-1, height = 6 - 2)

3 · tan (36) = 2.1796

2.1796 · 3 = 6.5389

6.5389 · 5 = 32.6944  ← small Pentagon Area

32.6944 · 4 = 130.7777  ← Small Pentagon Prism Volume

Final Step

Area of big prism - small prism

348.74041 - 130.7777 = 217.9627

Round to the nearest tenth ⇒ 218.0

Answer:

I understand what you wrote as 18 + M = y. We don't know what M and y are. They are variables. When you add M to 18, it is equal to a value y.

I hope this makes sense. This is the foundation of algebraic thinking.

Answer:

A) 9/2x3/8

Step-by-step explanation:

Answer and Step-by-step explanation:

The product of a two numbers/values is the result of multiplying two numbers/values.

So, multiply b and 3 together.

3b is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

Arc length = 6.28 units

Step-by-step explanation:

[tex]Arc \ length = 2 \pi r \frac{ \theta}{360} = 2 \times \pi \times 9 \times \frac{40}{360} = 2\pi = 6.28[/tex]

Answer:

10

Step-by-step explanation:

[tex]1 \frac{1}{4} \times 8 = 10[/tex]

Answer:

10 pounds.

Step-by-step explanation:

1 * 8 + 1/4 * 8

= 8 + 2

= 10 pounds.

[tex]4d = - 16 \\ \\ d = \cancel \frac{ - 16}{4} \\ \\ d = - 4[/tex]

Answer:

The value of d is -4. When you multiply 4 by -4 you get -16. If you want me to elaborate, let me know.

Step-by-step explanation:

Answer:

84in

Step-by-step explanation:

84in

Answer:

4567,4678..............

Answer: 56?

Step-by-step explanation:

Let the third side be x :

( 3√5 )^2 = 6^2 + x^2

45 = 36 + x^2

x^2 = 45 - 36

x^2 = 9

x = 3

Answer:

18x^3sqrt(7)

Step-by-step explanation:

14x^3sqrt(7)+4x^3sqrt(7); factor our 4 in the first radical and factor out x^6 in both radicals

Add like terms;

18x^3sqrt(7).

Answer:

7

Step-by-step explanation:

Let the height of pyramid be h

[tex]v = \frac{1}{3} lwh[/tex]

v= 224

w= 8

l= 12

224=1/3(12)(8)(h)

224=32h

h=224/32

h=7

Answer:

3x4 = 12 is the most related fact to 12:3 = 4

Step-by-step explanation:

Answer:

t = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

0.5t = 0.2 + 0.4t

Step 2: Solve for t

The top angle is the same as the bottom angle, since they are vertically opposite angles.

b+20=40

b=40-20

b=20

It is also 20 degrees.

Answer:

Step-by-step explanation:

angle b+20 degree=40 degree(being vertically oppoite angles)

angle b=40-20

angle b=20

therefore angle b=20 degree.