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Mandarinka [93]
3 years ago
12

Xavier start 5 feet away from the motion detector. He then walks away from the detector at a rate of 0.5 ft./s for four seconds.

He remains still for two seconds, and then walks towards the motion detector at a rate of -2 ft./s for three seconds. How far in feet Xavier from the motion detector when he finishes his walk?
Mathematics
1 answer:
Dominik [7]3 years ago
8 0

Answer:

1 ft away from the motion detector.

Step-by-step explanation:

To calculate Xavier's distance we can assume that the motion detector would be represented as 0ft. Now we simply need to create the arithmetic expression for every step/action that Xavier performed. Finally, we would solve the expression to calculate Xavier's total distance from the motion detector.

5ft + (0.5ft * 4) + (-2ft * 3)

5ft + 2ft - 6ft

1ft

Finally, we can see that Xavier is 1 ft away from the motion detector.

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A sample of 50 observations is taken from an infinite population. The sampling distribution of : a.is approximately normal becau
Korvikt [17]

Answer:

a.is approximately normal because of the central limit theorem.

Step-by-step explanation:

The central limit theorem states that if we have a population with mean μ and standard deviation σ and we take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

For any distribution if the number of samples n ≥ 30, the sample distribution will be approximately normal.

Since in our question, the sample of observations is 50, n = 50.

Since 50 > 30, then <u>our sample distribution will be approximately normal because of the central limit theorem.</u>

So, a is the answer.

3 0
3 years ago
What is the midpoint of the segment shown below? (-2, 3) (10, 3)
sergeinik [125]

Answer:

That point P(x,y)

x = (-2+10)/2 = 4

y = (3+3)/2 = 3

=> P (4,3)

5 0
3 years ago
kim can mow the greens at the golf course twice as fast as shayla can. Working together, they can mow the greens in 4 hours. How
anyanavicka [17]

Answer: Kim can mow the greens alone in 6 hours.

Step-by-step explanation:

Let K be the rate Kim mows the greens, and S the rate for Shayla.  The rates K and S will be in greens/hour.

We know they can mow 1 green in 4 hours.  We can state this as a sum of their rates times the 4 hours equals one green:

(4 hours)*(K + S) = 1 green

We are told that K = 2S [Kim is twice as fast as Shayla]

Subsititute:

(4 hours)*(K + S) = 1 green

(4 hours)*(2S + S) = 1 green

4*(2S + S) = 1 green

12S = 1 green

Shalya's rate is 1 green/12 hours

Kim is twice as fast:  K = 2S

Kim's rate is 1 green/6 hours.

8 0
2 years ago
Tim x: 3x(x-2) + 2(2-x)=0
olganol [36]

Answer:

Assuming this is the full problem.

3x^2-8x+4

Step-by-step explanation:

6 0
3 years ago
What is halfway between 400,000 and 500,000?
goldenfox [79]

Answer:

450,000

This is because 400,000 and 500,000 have no other numbers that could be the middle, so it has to be directly in-between both numbers.

__________________________________________________________

Questions related to this topic? Please ask me in the <em>comments</em> box.

4 0
2 years ago
Read 2 more answers
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