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nata0808 [166]
2 years ago
6

Luke called a repairman to fix the furnace at his cabin. The repairman charged $35 per hour plus a fee of $25 for the service ca

ll, as represented by the expression in the box.
(THE EXPRESSION IN THE BOX IS "35x + 25")

In the expression, what is represented by the variable x?

A) the number of hours it took the repairman to fix the furnace.

B) the distance in miles from the repairman's shop to Luke's cabin.

C) the number of service calls made by the repairman to Luke's cabin.

D) the total amount in dollars that Luke paid to have the furnace repaired.

(I need the answer ASAP)
Mathematics
1 answer:
Marizza181 [45]2 years ago
6 0

Answer:

The answer is A.

Step-by-step explanation:

To find the value you have to know how many hours the repairman took to repair. Then after you find how many hours he took multiply the hours by 35 than add 25.

So the equation would look like  35x hr+25 =

hr=hours

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Answer: b. 0.8413

Step-by-step explanation:

Given : The average time taken to complete an exam, X, follows a normal probability distribution with \mu=60\text{ minutes} and \sigma=30\text{ minutes} .

Then, the  probability that a randomly chosen student will take more than 30 minutes to complete the exam will be :-

P(x>30)=P(z>\dfrac{30-60}{30})\ \ [\because\ z=\dfrac{x-\mu}{\sigma} ]\\\\=P(z>-1)=P(z-z)=P(Z

 [using z-value table]

Hence, the probability that a randomly chosen student will take more than 30 minutes to complete the exam =  0.8413

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2 years ago
Can someone help me with this
Anvisha [2.4K]

Answer:

D. \frac{{7}^{11} }{ {4}^{11} }

Step-by-step explanation:

( \frac{7}{4}) {}^{11} = \frac{7 {}^{11} }{4 {}^{11} }

Since we are multiplying an exponential number to a fraction the answer is going to be

\frac{7 {}^{11} }{4 {}^{11} }

Hope this helps ❤❤❤ ;)

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2 years ago
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A hummingbird can travel up to 15 meters per second. What is the hummingbirds speed in miles per hour? 1 mile = 1609 meters
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A hummingbird flies at an average speed of 25-30 miles per hour and can do a fast dive at up to 60 miles per hour. A: Yes. A cheetah will run at about 70 miles per hour and a hummingbird flies at about 25-30 miles per hour.
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Adam must fly home to city A from a business meeting in city B. One flight option flies directly to city A from​ B, a distance o
g100num [7]

Answer:

The value  is  k =109.6 \ miles

Step-by-step explanation:

The diagram illustrating the question is shown on the first uploaded image

From the question we are told that

   The distance from city A to B is   AB =  467.3 miles

   The bearing from B to  C is  \theta_{BC} =  N 28.7E

   The bearing from B to  A is  \theta_{BA} =  N 60.7E

   The  bearing from A to  B is   \theta_{AB} =  S60.7W

    The  bearing from A to  C is   \theta_{AC} =  S79.1W

Generally from the diagram

     \theta_A  =  180 - 60.7 -79.1

=>  \theta_A  =  40.2 ^o

Also

     \theta_B  =  32^o

and  

      \theta_C  =  180 - (\theta_A  +\theta_B )

=>   \theta_C  =  180 - (40.2  + 32 )

=>   \theta_C  =  107.8 ^o

Generally according to Sine Rule

     \frac{BC}{sin (\theta_A)}  = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}

=>   \frac{BC}{sin (40.2)}  = \frac{CA}{sin (32)} =\frac{467.3 }{sin (107.8)}    

So

     \frac{BC}{sin (40.2)}  = \frac{467.3 }{sin (107.8)}

=>  BC = 316.8 \ miles

Also  

    \frac{CA}{sin (32)} =  \frac{467.3 }{sin (107.8)}

    CA = 260 .1 \ miles

Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct​ flight is mathematically represented as

      k = [CA +BC]  - AB

=>     k = [260 .1 +316.8]- 467.3

=>  k =109.6 \ miles

4 0
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A multiple choice question has 18 possible​ answers, only one of which is correct. Is it​ "significant" to answer a question cor
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Answer:

It is not ''significant''

Step-by-step explanation:

Let's call the event

A : ''Answer a question correctly if a random guess is made''

Now we calculate the probability for the event A

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In the exercise A occurs in only one way and the total cases are the number of possible answers

Total cases = 18

P(A)=\frac{1}{18} =0.0555555

An event B is ''significant'' if P(B)\leq 0.05

P(A)=0.0555555

⇒A it is not a ''significant'' event

8 0
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