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tangare [24]
2 years ago
15

⚠️HELP PLEASE ⚠️Two gears on a machine are aligned by a mark drawn from the center of one gear to the center of the other. If th

e first great has 24 teeth, and the second gear has 40 teeth, how many revolutions of the first gear are needed until the mark line up again?
Mathematics
1 answer:
Nina [5.8K]2 years ago
6 0

Answer:

26

Step-by-step explanation:

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Solve the equation for t. (t-7)^2+18=9
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Answer:

t = 7 + 3i

Step-by-step explanation:

(t-7)^2 + 18 = 9

(t-7)^2 = 9 - 18

(t-7)^2 = -9

(t-7) = sqrt(-9) = |3| sqrt(-1)

t = 7 + 3i

4 0
3 years ago
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Naddika [18.5K]
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Translate The sum of two consecutive integers is 33
Illusion [34]
The total of two whole numbers one after another is 33. for example 10 + 11 (two consecutive integers) = 21
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The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of vi
baherus [9]

Answer: 2185

Step-by-step explanation:

Let p be the proportion of visitors are campers.

Given : The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of visitors who plan to camp in the state.

The prior proportion of visitors are campers : p=0.35

Allowable error : E= 2%= 0.02

We know that the z-value for 95% confidence = z_c=1.96

Then by Central Limit Theorem , the required sample size would be :

n=p(1-p)(\dfrac{z_{c}}{E})^2

\Rightarrow\ n=0.35(1-0.35)(\dfrac{1.96}{0.02})^2\\\\ n= 0.35(0.65)(9604)

Simply , we get

n=2184.91\approx2185  [Rounded to the next whole number.]

Hence, the smallest sample size to estimate the population proportion of campers =2185

7 0
3 years ago
A cab company charges a flat amount of $5 plus $1.10 per mile traveled. If at the end of a cab ride a customer owes the driver $
Luda [366]

I believe that the number of miles traveled would be 8. This is because you would subtract $5.00 from the $13.80 and then divided by $1.10.


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