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aniked [119]
3 years ago
6

It was recently estimated that uninsured vehicles out number insured ones by about 6 to 5 if there are 2002 vehicles in a county

how many of them are in insured
Mathematics
1 answer:
Luba_88 [7]3 years ago
3 0

There are 1092 uninsured vehicles.

Step-by-step explanation:

Given,

Ratio of uninsured vehicles to insured vehicles = 6:5

Let,

x be the original number.

Number of uninsured vehicles = 6x

Number of insured vehicles = 5x

Total vehicles = 2002

6x+5x=2002\\11x=2002

Dividing both sides by 11

\frac{11x}{11}=\frac{2002}{11}\\x=182

Number of uninsured vehicles = 6x = 6(182) = 1092

Number of insured vehicles = 5x = 5(182) = 910

There are 1092 uninsured vehicles.

Keywords: addition, division

Learn more about addition at:

  • brainly.com/question/8224301
  • brainly.com/question/8180193

#LearnwithBrainly

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Find the unknown side length. Write your answer in simplest radical form.
Eva8 [605]

Answer: 1. x= 20 units,   2. x= 5\sqrt{3} units    3. x= 4\sqrt{2} units.

Step-by-step explanation:

In a right triangle,

Hypotenuse^2= Perpendicular^2+Base^2  (Pythagoras theorem)

1. Hypotenuse = x , Base = 16, Perpendicular = 12

\Rightarrow\ x^2 =12^2+16^2\\\\ \Rightarrow\ x^2=144+256\\\\ \Rightarrow\ x^2=400\\\\ \Rightarrow\ x=\sqrt{400}=20

2. Hypotenuse = 14 , Base = 11, Perpendicular = x

\Rightarrow\ 14^2=x^2+11^2\\\\\Rightarrow\ 196=x^2+121\\\\\Rightarrow\ x^2=196-121\\\\\Rightarrow\ x^2 = 75\\\\\Rightarrow\ x=\sqrt{75}=\sqrt{25\times3}=5\sqrt{3}

3.  Hypotenuse = 9 , Base = x, Perpendicular =7

\Rightarrow\ 9^2=x^2+7^2\\\\\Rightarrow\ 81= x^2+49\\\\\Rightarrow\ x^2=81-49\\\\\Rightarrow\ x^2=32\\\\\Rightarrow\ x=\sqrt{32}=\sqrt{16\times2}\\\\\Rightarrow\ x=4\sqrt{2}

5 0
2 years ago
-2 and 2 are...... (check all that apply)
bonufazy [111]

Answer:

A,B,D

Step-by-step explanation:

3 0
2 years ago
The isosceles trapezoid is part of an isosceles triangle with a 34 degree vertex angle. What is the measure of an acute base ang
Sonja [21]
For the answer to the question above asking<span> what is the measure of an acute base angle of the trapezoid?
</span>n acute base angle of the trapezoid would be the same as the triangle. 

<span>subtract 34º from 180º, then divide by 2. </span>

<span>(180 - 34)/2 = 73º 
</span>I hope my answer helped you.
4 0
3 years ago
What is the length of BC in the right triangle below 21 and 72
sleet_krkn [62]
Im guessing 21 and 72 are the side lengths for the triangle?

Alright, so since it's a right triangle you can use the Pythagorean theorem or a^2+b^2=c^2

Since i cant see the picture, im going to use some general math <span>so i</span> can figure out if those two sides are the legs or if one of them is the hypotenuse
Alright 
so im guessing the side we're trying to find is the hypotenuse

21^2+72^2=c^2
441+5184=c^2
5625=c^2
<span>√5625=c</span>
75=c

The answer is 75, hope i helped!
3 0
2 years ago
Another bowler, Ryan Shafer, has a mean absolute deviation of 5. Based on the mean absolute deviation of Norm Duke, who has been
Wewaii [24]

Answer:

Ryan is a more consistent performer

Step-by-step explanation:

The complete question is

HEL 1. Shown are the final scores for Norm Duke in the past eight bowling tournaments.

299, 281, 285, 269, 280, 269, 286, 287

Part A: What is the mean absolute deviation of Norm Duke’s scores?

A.

7.50

B.

7.00

C.

7.25

D.

6.75

Part B: Based on the mean absolute deviation from Part A, who has been the more consistent bowler if Ryan Shafer has a mean absolute deviation of 7?

Solution

First we will find the mean deviation of Duke is 7.5

The standard deviation of Ryan is 7.0. This means that the average variation in case of Duke is higher than that of average variation of Ryan.

Hence, Ryan has been more consistent performer

4 0
2 years ago
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