In a law office, the average number of billed hours per day was 150 last year. In the first 85 days of this year, the average number of billed hours per day is 158 with a standard deviation of 65 hours. When testing the hypothesis (at the 10% level of signficance) that the average number of billed hours per day has increased, what is the null and alternative hypotheses (please write out the null and alternative hypotheses below AND on your scratch work...failure to do BOTH will result in 0 points)

Answer:

19.1

Step-by-step explanation:

i took the testttttt

Perimeter is the sum of the length of the sides used to make the given figure. The perimeter of the given shape is 19.1 units.

The distance or length of any line on the graph,

[tex]{\rm Distance} = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

where,

d = distance or length of the line between points 1 and 2,

(x₁ , y₁) = coordinate of point 1,

(x₂ , y₂) = coordinate of point 2,

To find the perimeter of the given figure we need to calculate the length of each line segment on the given graph. Therefore, the length of the different sides of the given quadrilateral can be written as,

AB = √[(5-0)²+(-1-0)²] = √26 units

BC = √[(5-3)²+(-1+5)²] = √20 units

CD = √[(3+2)²+(-5+4)²] = √26 units

AD = √[(-4 - 0)²+(- 2 - 0)²] = √20 units

Perimeter = AB + BC + CD + AD

                 = √26 units + √20 units + √26 units + √20 units

                 = 19.1423 units ≈ 19.1 units

Hence, the perimeter of the given shape is 19.1 units.

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Answer:

4896 sq units

Step-by-step explanation:

A = lw

multiply 48 to 102

Answer: 3

Step-by-step explanation: 2 is 1 and 1 put together plus another 1 makes 3

Answer:

Debate club

Step-by-step explanation:

to get the answer that you need what you have to do is 60 / 2 and that equals 30 and then next what you have to do 50 - 10 and that gives you 40 so if you look closely you can see that 40 is bigger than 30 so that's how you get your answer I hope I help you out

Answer:

C. 3.5

2 is one less than 3 and 3.5 is one less than 4.5. It's pretty easy. :)

Answer:

XY=3

Step-by-step explanation:

Answer:-5x^2

Step-by-step explanation:

Answer:

c

BF and DC appear to be perpendicular.

Answer: C

Step-by-step explanation:

BF and DC appear to be perpendicular. Perpendicular means meets at 90 degrees (a right angle)

Answer:

yo sorry I'm dum need points

Answer: The meal contains 68.57% of her daily allowance of fat

Step-by-step explanation:

We know that in the dinner, there is a total of 48g of fat.

We also know that her daily dose of fat is 70g, so this will be "the 100%", then we can write:

70g = 100%

Under this point of view, we also can relate the 48g of the dinner to another percentage X%, such that:

48g = X%

Then we have two equations:

48g = X%

70g = 100%

To solve this, we can take the quotient of these two equations to get:

(48g/70g) = (X%/100%)

Now we want to solve this for X%, then we need to isolate X%:

(48g/70g)*100% = X%

68.57% = X%

This means that 48 grams of fat are 68.57% of her daily allowance.

Answer:

I don't get your question

Step-by-step explanation:

Answer:

447 cm or 337 cm can be both

The volume of the cone whose height and radius are equal to that of given cylinder`s height and radius is equal to 44cm³.

The volume of given cylinder is = 132cm³

The volume of a cylinder of radius r and height h is given by

V=πr²h

Therefore, πr²h=132

Now volume of cone of same radius and height is = (1/3)πr²h

                                                                                   =(1/3)×132

                                                                                   =44cm³

Hence, the volume of the cone with same radius and height as of given cylinder is 44cm³.

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Answer: Micron gauges (electronic vacuum gauges) should be connected directly to the system – not at the pump – to check the vacuum at the system

Step-by-step explanation:

Answer i am smart

Step-by-step explanation:

Answer:

Huh???

Step-by-step explanation:

Answer:

〒-〒 ?????

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

3^3-5^2+8 = 10

Answer:

6

Step-by-step explanation:

Question: What is g³ - h² + 8, when g= 3, h = 5

Substitute the given values

3³ - 5² + 8

Simplify exponents- remember, 3³ = 3 * 3 * 3, and 5² = 5 * 5

27 - 25 + 8

Simplify

-2 + 8 =

6

I hope this helps! Feel free to ask any questions! :)

Answer: 1/8

Step-by-step explanation:

convert 1/4 to eighths

1/4 x 2 = 2/8

2/8 yellow fabric - 1/8 red fabric = 1/8

First you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.1 (4) /2 (4) + 3 (2) / 4 (2)

First you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.1 (4) /2 (4) + 3 (2) / 4 (2) *always remember to simplify the fractionsAfter adding the fractions, you just have to add it to the whole number (5)

First you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.1 (4) /2 (4) + 3 (2) / 4 (2) *always remember to simplify the fractionsAfter adding the fractions, you just have to add it to the whole number (5)

Answer:

Step-by-step explanation:

Use the Quadratic Formula.

-x² - 4x + 16 = 0

x = [4±√(4²-4(-1)(16)]/[2(-1)] = [4±√80]/(-2) = [4±4√5]/(-2) = -2±2√5

Answer:

Approximately [tex]17.6[/tex] percent

Step-by-step explanation:

To find a percentage, take the part, divide it by the whole, and multiply that quotient by 100. As an algebraic expression, that would be [tex]\frac{part}{whole}*100[/tex].

In this case, the part is [tex]12[/tex] and the whole is [tex]68[/tex]. Therefore, our answer is [tex]\frac{12}{68}*100\approx17.6[/tex] percent. Hope this helps!

Answer: About 17.6%

Step-by-step explanation: "Per" means 100. So, to get a percentage, we can divide the numerator by the denominator then multiply the quotient by 100. Or, you can say it like this: [tex]\frac{Numerator}{Denominator} =quotient*100[/tex]

As we see, 12 is the numerator, and 68 is the denominator. Now, we can divide.

12 ÷ 68 = 0.176

We're not done yet, we'll need to multiply the quotient by 100, as in the formula.

0.176 × 100 = 17.6

Hence, 17.6% is the answer.

Let me know if you have any questions or comments.

~ Lily, from Brainly.

Answer:

i believe its a

Step-by-step explanation:

.........

Answer:that means it d

Step-by-step explanation:

Answer:

16.2

Step-by-step explanation:

Use the law of cos

c^2 = 8^2+10.4^2-2*8*10.4*cos(122.2 degrees)

=260.83

c = √260.83 = 16.15

The missing side of the triangle is 16.2 km (round to the nearest tenth)

If a, b, c are sides of a triangle & C be the angle opposite to side c, then

c²=a²+b²-2ab cosC

Here, in the given question, a = 8km & b = 10.4 km

Also the angle opposite to the third side c (say) is C = 122.2°

So, according to the law of cosines,

c²=(8)²+(10.4)²-2(8)(10.4) cos(122.2°)

⇒ c²= 64+108.16-(-88.67)

⇒ c²= 172.16+88.67

⇒ c²= 260.83

⇒ c= √(260.83)

⇒ c= 16.15 = 16.2(approx)

So, the missing side = 16.2 km

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