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bogdanovich [222]
2 years ago
11

use the order of operations to simplify this expression. exspress your answer in the simplest form. 1/4 + 1/2 ÷ 2/8​

Mathematics
1 answer:
elixir [45]2 years ago
7 0

Answer:

9/4

Step-by-step explanation:

This is quite simple you do 1/2 divided by 2/8 which will become multiplication. Then its that number plus 1/4

you get a answer of

9/4 in fraction form

2.25 in decimal form

2 1/4 in mixed fraction form

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Convert 11.75 millimeters to meters
blsea [12.9K]

Hello!

1,000 millimeters make a meter. To convert millimeters to meters, we just divide by 1,000, or move the decimal to the right 3 places.

11.75/1000=0.01175

Therefore, our answer is 0.01175 meters.

I hope this helps!


3 0
3 years ago
Read 2 more answers
The mean finish time for a yearly amateur auto race was 186.32 minutes with a standard deviation of 0.305 minute. The winning​ c
uranmaximum [27]

Complete Question

The mean finish time for a yearly amateur auto race was 186.94 minutes with a standard deviation of 0.305 minute. The winning car, driven by Roger, finished in 185.85 minutes. The previous year's race had a mean finishing time of 110.7 with a standard deviation of 0.115 minute. The winning car that year, driven by Karen, finished in 110.48 minutes.

Find their respective z-scores.

 Who had the more convincing victory?

A. Roger​ had a more convincing victory because of a higher z-score.

B. Karen a more convincing victory because of a higher z-score.

C. Roger had a more convincing victory, because of a lower z-score.

D. Karen a more convincing victory because of a lower z-score.

Answer:

The correct option is  D

Step-by-step explanation:

From the question we are told that

  The mean of the current year  is  \mu_c =  186.32 \  minutes

   The standard deviation is  \sigma_c  =  0.305 \  minutes

   The time taken by  the winning car for the current year  is  x =  185.85 \ minutes

  The mean of the previous  year  is  \mu_p =  110.7 \  minutes

   The standard deviation the previous  year  is  \sigma_p  = 0.115  \  minutes

 The time taken by  the winning car for the previous year  is  y =   110.48 \ minutes    

Generally the z-score for current year is mathematically evaluated as

     z_c  =  \frac{x- \mu_c}{\sigma_c }

=>     z_c  =  \frac{ 185.85- 186.32}{0.305 }

=> z_c  = -1.536

Generally the z-score for previous year is mathematically evaluated as

     z_p  =  \frac{y- \mu_p}{\sigma_p }

=>     z_p  =  \frac{ 110.48-110.7}{0.115  }

=> z_p  = -1.913

From the value obtained we see that  z_p  <  z_c , Hence  Karen had a more convincing victory because of the lower z -score.

5 0
2 years ago
Bob is driving along a straight and level road toward a mountain. At some point on his trip, he measures the angle of elevation
DerKrebs [107]

Answer:

Option A.

Step-by-step explanation:

Distance between Bob and the center of the mountain at the base = 19,427.5 ft.

Angle of elevation to the top of the mountain = 25°11'

We know that

1 degree = 60 minutes

1/60 degree = 1 minute

25^{\circ}11'=25^{\circ}+\frac{11}{60}{\circ}\Rightarrow 25^{\circ}+0.183^{\circ}=25.183^{\circ}

Let the height of the mountain be h.

In a right angled triangle

\tan\theta = \frac{opposite}{adjacent}

\tan(25.183^{\circ}) = \frac{h}{19427.5}

\tan(25.183^{\circ})\times 19427.5 = h

h=0.4702\times 19427.5

h=9134.8105

h\approx 9135

Therefore, the height of the mountain to the nearest foot 9135. Option A is correct.

5 0
3 years ago
A construction worker works 34.6 hours at $10.47 per hour. A total of $68.83 is deducted for taxes. Find the net amount of his p
anyanavicka [17]

Answer:

$293.43

Step-by-step explanation:

6 0
3 years ago
What is the value of x
Gnesinka [82]

The answer should be "20".

7 0
3 years ago
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