The Department of Highway Improvements, responsible for repairing a 25-mile stretch of interstate highway, wants to design a surface that will be structurally efficient. One important consideration is the volume of heavy freight traffic on the interstate. State weigh stations report that the average number of heavy-duty trailers traveling on a 25-mile segment of the interstate is 72 per hour. However, the section of highway to be repaired is located in an urban area and the department engineers believe that the volume of heavy freight traffic for this particular section is greater than the average reported for the entire interstate.
To validate this theory, the department monitors the highway for 50 1-hour periods randomly selected throughout the month. Suppose the sample mean and standard deviation of the heavy freight traffic for the 50 sampled hours are:
Sample mean = 74.1 standard deviation = 13.3
a) Do the data support the department's theory? Use α = 0.10 to come to a conclusion based on a large sample test.

Answer:

6.)66 degrees

7.)20 degrees

Step-by-step explanation:

Angle 114 and angle 3 are supplementary, meaning that they can be added to get 180 degrees

If you subtract 114 from 180 you get 66 degrees

Angle D and Angle C are both complimentary, meaning that if you add them together you get 90 degrees

If you subtract 70 from 90 you get 20

Answer:

-3/4

Step-by-step explanation:

Between these two points, the x value changes by 4, and the y value changes by -3. Therefore, the slope of this line is -3/4. Hope this helps!

Answer:the answer is The container on the left is made of 2 centimeters squared more plastic.

Step-by-step explanation:

i took the test

The container on the right is made of 2 centimeters squared more plastic.

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Given two rectangular containers.

We have to find the surface area of both the containers.

Surface area of a rectangular prism = 2[(l × w) + (w × h) + (l × h)]

Here l, w and h are the length, width and height of the rectangular prism.

For the first rectangular prism,

Surface area = 2 [(5 × 4) + (4 × 7) + (5 × 7)] = 166 cm²

For the second rectangular prism,

Surface area = 2 [(4 × 3) + (3 × 10) + (4 × 10)] = 164 cm²

Hence the container on the right is made of 2 centimeters squared more plastic.

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Answer:

c. Cluster sampling

Step-by-step explanation:

Taking into account that the exercise researcher is looking with limited resources to study a population that is divided, her best option is cluster sampling, which is a method applicable to this type of population, we could select in each group randomly her sample, the observational study is discarded because she does not have much availability of time or resources, nor would the stratified study be useful because she should select subgroups and create them to take samples and this would take more time and resources and sampling systematic is not adequate because it must have all the individuals and after having the list select the sample, but as we know, it is a process that will study the number of individuals so this option is not feasible.

Answer:

Cluster sampling

Step-by-step explanation:

Cluster sampling is almost always more economical or more practical than stratified sampling or simple random sampling as it reduces costs by increasing sampling efficiency. Due to the fact that she has limited resources, this method is better to observe clusters of units in a population than randomly selected distributed in the local nature preserve and this method is more economical and quick.

Answer:

6 inches

Step-by-step explanation:

Answer:

Radius of the circle is of 3 inches.

Step-by-step explanation:

It is given that the area of the circle is 113.04,

Let the radius of the circle be of "a" units

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

From the properties of circle, we know : -

Area of circle = πr^2 , where r is the radius of the circle.

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

Then, comparing the question with the identity :

= > πr^2 = 113.04 sq. inches

= > 3.14 x r^2 =  113.04 sq. inches

= > r^2 = 113.04 / 3.14 sq.inches

= > r^2 = 36 sq. inches

= > r = 6 inches

Hence,

r or radius of the circle is of 6 inches.

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Answer:

18in²

Step-by-step explanation:

Answer: I know da way hehhe

Step-by-step explanation:

Base times height / 2

12*3= 36/2 =18

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Answer:

Leo is 10, Jenny is 20

Step-by-step explanation:

Let's say that Jenny's current age is j, and that Leo's current age is l. With this, we can set up the following equations:

j=2l

j-5=3(l-5)

Let's use substitution and plug the first equation into the second one:

(2l)-5=3(l-5)

2l-5=3l-15

l=10

j=20

Hope this helps!

Answer:

$83.97

Step-by-step explanation:

Let's find the total thickness of all 42 books first. To do this, we do 42 * 1.75 = 73.5 inches. We know that each shelf is 3 feet long, but we want to convert to the same unit so that it's easier to calculate, so each shelf is 3 * 12 = 36 inches long. Now, to find the number of shelves needed, we'll do total thickness/length of each shelf which is 73.5 / 36, or 2.04. Our answer has to be an integer (because you can't have half of a shelf), so do we round up or down? Well, if we rounded down, then there wouldn't be enough room for all the books, so we round up to 3 shelves instead. Because each shelf is $27.99, the price for 3 will be 27.99 * 3 = $83.97. Hope this helps!

Step-by-step explanation:

50÷1/2-40

50×2-40

100-40

60

the answer is 60

Answer:60

Step-by-step explanation:if the equation is 50/.5-40, the first step is to turn them into fractions 50/1 and 50/100 (or 1/2) then you flip the second fraction and change the sign to multiply so it would be 50/1x2/1.

Y=50/.5-40

Y=50/1x2/1-40

Y=100-40

That leaves you with 100/1 (or 100). Then you subtract 40 from 100

100-40=60

Answer:

1. A

Because 0.08*24= $1.92

2. C

Because 0.09*15=$1.35

Answer:

1.A

2.C

Step-by-step explanation:

Answer:

  [tex]a=\dfrac{\Delta v}{t}[/tex]

Step-by-step explanation:

Acceleration is the change in velocity per unit time. It is usually represented by the letter "a". An appropriate formula is ...

  [tex]\boxed{a=\dfrac{\Delta v}{t}}[/tex]

The required equation for determining the acceleration from a velocity-time graph is [tex]a=\dfrac{\Delta v}{t}[/tex]equation is a=delta v over t.

We know that,

Acceleration is known as the rate of change of velocity per unit time.

The velocity vs time graph is the graph plotted between the change in velocity with the change in time.

[tex]a=\dfrac{\Delta v}{t}[/tex]

Hence the required equation for determining the acceleration from a velocity-time graph is [tex]a=\dfrac{\Delta v}{t}[/tex].

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Answer:

176π cm2

Step-by-step explanation:

Answer: The slope is 0.

Step-by-step explanation:

y -2/3=0

+2/3. +2/3

y=2/3

Answer:

Parallel Lines: If the two linear equations have the same slope (and different y-intercepts), the lines will be parallel. Since parallel lines never intersect, a system composed of two parallel lines will have NO solution (no intersection of the lines.)

Step-by-step explanation:

Answer:

3x-1

Step-by-step explanation:

6 +(-x) +2x + (-7) + 2x=

6-x +2x -7 + 2x =

6-7+ 2x+2x-x=

-1 + 3x=

3x-1

Answer:it would have 12 ounces of water and 8 ounces of oats

Step-by-step explanation:

12 ounces of water and 8 ounces of oats.

Proportion is an equation that defines that the two given ratios are equivalent to each other. In other words, the proportion states the equality of the two fractions or the ratios. In proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

Example, the time taken by train to cover 100km per hour is equal to the time taken by it to cover the distance of 500km for 5 hours.

Proportions are denoted by the symbol  ‘::’ or ‘=’.Given,

Given, the proportion of the oatmeal in a bowl of corner café = 6 ounces of water and 4 ounces of oats.

the proportion of the oatmeal in a bowl of breakfast shop = double the amount water and oats used in corner café.

= 2×6 ounces of water and 2×4 ounces of oats

= 12 ounces of water and 8 ounces of oats

Hence, In making of oatmeal at breakfast shop there will be 12 ounces of water and 8 ounces of oats.

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Answer:t=9.6 minutes

Step-by-step explanation:

Given

mass of element is [tex]A_o=740\ gm[/tex]

Decay rate [tex]r=28.4\%\ \text{per minute}[/tex]

and we know

Amount of exponential decay is given by

[tex]A=A_o[1-r]^t[/tex]

Where [tex]A_0=\text{Initial amount}[/tex]

[tex]\text{A=Accumulated amount}[/tex]

[tex]\text{r=rate}[/tex]

[tex]\text{t=time}[/tex]

Substituting values we get

[tex]\Rightarrow 30=740[1-0.284]^t[/tex]

[tex]\Rightarrow \dfrac{30}{740}=0.716^t[/tex]

[tex]\Rightarrow 0.0405=0.716^t[/tex]

taking log both sides we get

[tex]\Rightarrow\ \ln (0.0405)=t\times \ln (0.716)[/tex]

[tex]\Rightarrow t=\dfrac{\ln (0.0405)}{\ln (0.716)}[/tex]

[tex]\Rightarrow t=9.598\approx 9.6\ \text{minutes}[/tex]

Answer:

Delta math it’s 10

Step-by-step explanation:

Answer:

  3.40 km

Step-by-step explanation:

Given two sides and the angle between them, the Law of Cosines is useful for finding the remaining side of the triangle.

If we call the vertices of the triangle H, P, Y, then the Law of Cosines tells you ...

  HY² = HP² +YP² -2HP·YP·cos(P)

  HY² = 6² +7² -2·6·7·cos(29°) = 85 -84·cos(29°) ≈ 11.531944

  HY ≈ √11.531944 ≈ 3.40 . . . .  km

The length of the tunnel is about 3.40 km.

Answer:

a) response variable

Step-by-step explanation:

The response variable is the variable that depends on other variables such as the independent or explanatory variable, it is the variable that is being tested. The response variable is also called the dependent variable.

In linear regression, the y variable is referred to as the response variable while the x variable is referred to as the explanatory or independent variable.

In this case the y variable is "the number of times they cough in a day" and this variation depends on the x variable "number of cigarettes a person smokes in a day".

The correct answer is B. Debra

Explanation:

The word "beneficiary" is used to describe the individual that receives a benefit. In the case of a life insurance policy, the receiver is always the person that receives money and other benefits when the person covered by the policy dies. This implies that in the case presented, Denise is the individual covered by the policy and the beneficiary is Debra because she will receive the money once Denise dies, and therefore she is the recipient of the benefits related to the insurance policy.

Answer:

1:35

Step-by-step explanation:

Answer:

1: 35pm

Step-by-step explanation:

Answer:

Dr work-in-process      $ 241,500.00  

Cr materials                                            $236,250

Cr direct material quantity variance      $ 5,250.00  

Step-by-step explanation:

The cost of the materials using standard price per pound of $10.5 is computed below:

standard cost=4,600*5*$10.5=$241,500.00  

The above is debited to work in process account.

The actual cost of materials used =22,500*$10.5=$236,250.00  

Since the actual cost materials is $ 236,250.00  ,the materials ledger is credited with $ 236,250.00  

The direct material quantity variance=$241,500-$236,250=$5,250  

Answer:

74.4

Step-by-step explanation:

It is already rounded to the nearest tenth of a percent. If it was rounded to the nearest percent it'd be 74%.

Answer:

74.4% rounded to the nearest tenth of a percent is 74.4%

Step-by-step explanation:

This is how to round 74.4 to the nearest tenth.

Firstly, 74.4 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:

Integer Part: 74

Fractional Part: 4

To round 74.4 to nearest tenth means to round the numbers so you only have one digit in the fractional part.

74.4 already has only one digit in the fractional part. Thus, 74.4 is already rounded as much as possible to the nearest tenth and the answer is:

74.4

Answer:

Distance =(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√

Step-by-step explanation:

The answer is provided above.

Distance =(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√

Hope this helps.

Answer: One adult ticket is $4.  One child ticket is $7

Step-by-step explanation:

Day 1:

2a + 10c = 78

Day 2:

8a + 5c = 67

2a + 10c = 78

8a + 5c = 67

Multiply Day 2 by 2 so we get the 'c' equal so we can subtract them:

Day 2: 16a + 10c = 134

Day 1: 2a + 10c = 78

Minus Day 2 from Day 1

= 14a = 56

56 / 14 = 4

So A = 4

Now substitute 4 for A in Day 1

2(4) + 10c = 78

8 + 10c = 78

10c = 78 - 8

10c = 70

c = 70 / 10

c = 7

Answer:

22

Step-by-step explanation:

5 1/2 = 11/2

11/2 * 4/1

44/2

22

Answer:

22

Step-by-step explanation:

5.5 times 4 = 22

(5.5 = 5 1/2)

therefore the answer is

22

hope this helps!! ;)

Answer:

+1 is the potential root of the function.

Step-by-step explanation:

Given;

p(x) = x⁴ + 22x⁴ – 16x - 12

A potential root of the function is zero of the function. That is a potential root will reduce the function to  zero or close to zero.

To determine this, we test each of the root given;

p(6) = (6)⁴ + 22(6)⁴ - 16(6) - 12 = 29700

p(3) = (3)⁴ + 22(3)⁴ - 16(3) - 12 = 1803

p(1) = (1)⁴ + 22(1)⁴ - 16(1) - 12 = -5

p(8) = (8)⁴ + 22(8)⁴ - 16(8) - 12 = 94068

The only number that reduces the function close to zero is +1, then +1 is the potential root of the function.

Answer: +-6, +-1, +-3

Step-by-step explanation: 2020edge

Step-by-step explanation:

I think the question is incomplete without an attachment of the diagram of the cone, but we can make do with the information provided.

Back to our question. the statements that apply are

Answer:

2 3 4 5

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

if you divide 20 by 8, then you get 2.5. multiply that by six, and you get your answer.