Jim drove a total distance of 137,702.4 on a race track. He drove 16 laps, where each lap was the same length. What was the length of each lap? Write your answer in miles.

Answer:

10152

Step-by-step explanation:

Common difference:

18-9=9

27-18=9

d=9

Explicit formula:

an = a1 +(n-1)d

a47 = 9+ (46)(9)

a47 = 423

Find sum: Sn = n(a1+an)/2

47(9+423)/2

47(423)/2 = 20304/2 = 10152

Answer:

[tex]y = 3x - 27-b[/tex]

Step-by-step explanation:

Given

[tex]y + b = 3(x - 9)[/tex]

Required

Write in slope intercept

Open bracket

[tex]y + b = 3x - 27[/tex]

Collect Like Terms

[tex]y = 3x - 27-b[/tex]

Answer:

50.3

Step-by-step explanation:

A=πr2=π·42≈50.26548

Answer:

68%

Step-by-step explanation:

The empirical rule basically states that 68% of the data falls within one standard deviation from the mean, 95% of the data falls within two standard deviations from the mean, and 99.7% of the data falls within three standard deviations from the mean.

So to find the percentage of IQ scores between 70 and 138, you need to find how far each of these numbers is from the mean in terms of the standard deviation.

If you subtract the standard deviation from the mean, you receive 87, and if you add the standard deviation to the mean, you receive 121.

This means that both of these numbers are within one standard deviation from the mean meaning according to the empirical rule, that means 68% of the IQ scores are between 70 and 138.

good luck, i hope this helps :)

Answer:

99.7%

Step-by-step explanation:

According to the empirical rule, approximately 99.7% of data values lie within 3 standard deviations of the mean.

Answer:

Step-by-step explanation:

From the given information;

The possible number of ways to select these people in order B, C, D, E, and F is:

= 5 × 4 × 3 × 2 × 1

= 120

However, using the order B, C, D, E, and F; The probability that the rumor is repeated is:

= 1/120

= 0.0083

b)

If we make F the subject here by selecting it such that F has not been selected in the first and second draw;

Then:

The possible numbers of ways to select F as third = 4 × 3 × 2 × 1

= 24

Now;

the required probability of F is the third person: = 24/120

= 0.2

c)

Suppose F is selected as the last person to hear the rumor;

Then, the selection of F in the last row = 4 × 3 × 2 × 1

Recall that; the total possible number of ways to select the person is B, C, D,E, and F which is = 120

Then, the required probability of F as the last person to hear the rumor is:

= 24/120

= 0.2

d)

Here, the required probability of F since F has not heard the rumor after it has been told tren times is:

= 4¹⁰

Let's no forget that the total number of possible ways to select the persons using the above criteria is = 5¹⁰

Thus, the required probability of F = 4¹⁰/5¹⁰

= 0.1074

Answer:

Your answer is 3.2977

Hope that this is helpful. Tap the crown button, Like & Follow me

Answer:

The weight of each circle is 2g

Since the sum of angles 1 and 2 equals 90°, and they also share same side and same vertex, then, the relationships that describe both angles would be:

B. Complementary angles

C. Adjacent angles

Complementary angles are two angles whose sum equals 90 degrees (right angle).

Thus:

m∠1 + m∠2 + 90° = 180° (straight line angle)

m∠1 + m∠2 = 180° -  90°

m∠1 + m∠2 = 90°

Therefore, since the sum of angles 1 and 2 equals 90°, and they also share same side and same vertex, then, the relationships that describe both angles would be:

B. Complementary angles

C. Adjacent angles

Learn more about complementary angles on:

https://brainly.com/question/16281260

Answer:

it's E

Step-by-step explanation:

Because the 1 is closer to 0

Answer:

5 thirds

Step-by-step explanation:

Make 1 2/3 into a improper fraction. Now you have 5/3. 5/3-(1/3*5)=0

Therefore, 5x1/3=5/3=1 2/3

Answer:

This guy is wrong. 1 2/3 is equal to 5/3. But that is not the answer(like that dummy above said)

The Question is asking "How many 1/3's are in 1 2/3" (5/3)

The answer is 5, not 5/3's.

Answer:

155°

Step-by-step explanation:

<O=24

<P=2x+9

<N=180-(3x-28) (It’s the supplement of 3x-28)

Add them together to equal 180. (180 is the sum of the 3 interior angles of a triangle.)

24+2x+9+180-(3x-28)=180

24+2x+9+180-3x+28=180

-1x+241=180

-1x=-61

x=61

Now that we’ve solved for x, plug it back into <MNO

<MNO=3x-28=3(61)-28=183-28=155°

Answer:

the answer is (-8,0)

Step-by-step explanation:

thats the right answer

Answer:

b=8.28

Step-by-step explanation:

using pythagorean theorem:

a^2+b^2=c^2

5.62^2 +b^2= 10^2

31.36 + b^2 = 100

b^2= 68.64

b=8.28

The length of the missing leg will be;

⇒ b = 8.28 km

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that;

The triangle is shown in figure.

Here,

The length of perpendicular = 5.6 km

And, The length of hypotenuse = 10 km

Since, The triangle is a right triangle.

Hence, We can apply the Pythagoras theorem as;

⇒ Hypotenuse² = Base² + Perpendicular²

⇒ 10² = b² = 5.6²

⇒ 100 = b² + 31.36

⇒ b² = 100 - 31.36

⇒ b = √68.64

⇒ b = 8.28 km

Thus, The value of missing length = 8.28 km

Learn more about the Pythagoras theorem visit:

https://brainly.com/question/343682

#SPJ2

Answer: 6

Step-by-step explanation:

3x = 18

Divide 18 by 3

x = 6

Answer:

55

Step-by-step explanation:

The equation would be:

305=85+4x

220= 4x

x= 55

Answer: 4x + 85 = 305

To get your answer you just have to subtract 85 from 305 (I believe) and then divide what you got by four :)

Step-by-step explanation:

Answer:

0.9

Step-by-step explanation:

1 1/2 = 1.5

6/10 = 0.6

1.5 - 0.6 = 0.9

Answer:

2.638, 3.16, 3[tex]\frac{7}{11}[/tex], [tex]\frac{73}{20}[/tex]

Step-by-step explanation:

Convert all the numbers as a decimal, this will make it easier to determine which value is greater or not.

Have a great day :)

Answer:

Hey:) Answer is below!

Step-by-step explanation:

Okay so the easiest thing I would do for each of these would be first to simplify them. So for the first one, 73 divided by 20, you could either do it on a calculator or just by long division. As a result, 73 divided by 20 is 3.65. The next two numbers, 2.638 and 3.16 are simplified, so you're good! Now lastly we got a mixed fraction. What you would do first, would be to multiply the left farmost number (in this case, 3) by the bottom number (which is 11). After that you would add the product of 3 and 11 (that would be 33) by 7. 33 plus 7 is 40. Finally, your number would be 40 over 11. Divide 40 by 11 (on a calculator or by long division) and you get 3.63. Now look at all your numbers, it should look like this: 3.65, 2.638, 3.16, 3.63

After that look at the number before the point (that would be 3 in the first one, 2 in the second, 3 in the third, and 3 in the fourth number). You see which one would be the smallest, and in this case it would be the second number, 2.638.  So 2.638 goes first. Then look at the first number after the point for the last three numbers (that would be 6 for the first, 1 for the third, and 6 for the fourth). 1 in the third number is the smallest, so next goes 3.16. (This is the order for now: 2.638, 3.16)

Finally look at the second number after the point for the last two numbers (that would be 5 for the first and 3 for the fourth) 3 in the fourth number is the smallest, so next goes 3.63

As a result, you get this order from smallest to largest:

2.638,3.16, 3 7/11, 73/20

Good luck:))

Answer:

thisis your answer 100,000

Step-by-step explanation:

100

50

40

this is how you add it and you will get your answer

Answer:

¯\_(ツ)_/¯

Step-by-step explanation:

Answer: 4/5

Step-by-step explanation:

Answer: 69/85 is the simplified form. You can't simplify it.

Step-by-step explanation:

Answer:

-18 degrees

Step-by-step explanation:

3 x 6 (For the degrees and hour)

Answer:

Step-by-step explanation:

15+3x≥75

3x≥75-15

3x≥60

x≥20

Answer:

$485890

Step-by-step explanation:

Given

Estimated Sales Volume =46.63+0.47(Advertising Expenditures)

Required

Find the allocated amount for advertising expenditure when target sales is $275000

Represent the sales volume with V and The advertising expenditure with a.

So, the expression is:

[tex]V = 46.63 + 0.47A[/tex]

Since the expression is in thousands, substitute 275 for V

[tex]275 = 46.63 + 0.47A[/tex]

Collect Like Terms

[tex]275 - 46.63 = 0.47A[/tex]

[tex]228.37= 0.47A[/tex]

Make A the subject

[tex]A = \frac{228.37}{0.47}[/tex]

[tex]A = 485.89[/tex]

Hence, $485890 should be allocated for advertising

Answer:

9/40

Step-by-step explanation:

3/8=15/40

4/5=24/40

15/40 x 24/40=360/1600

360/1600=9/40

Answer:

uh lol havent done this in awhile ngl..... most likely 8?

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

its on the line

Answer:

vdksirbdhkbwgxi2ndhk djzm ez my dude