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ANTONII [103]
3 years ago
11

9) Nancy starts a race at the start line and she is running 3 meters per second. Juan starts the same race 3 meters ahead of Nan

cy but he is going at 2 meters per second.
Nancy’s equation: Juan’s equation:
Mathematics
1 answer:
Travka [436]3 years ago
5 0

Given:

Nancy is running 3 meters per second.

Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second.

To find:

The equations for Nancy and Juan.

Solution:

Let x be the number of seconds.

Nancy is running 3 meters per second. So, the total distance covered by Nancy in the race is

y=3x

Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second. So, the total distance covered by Juan in the race is

y=3+2x

Therefore, the equations of Nancy and Juan are y=3x and y=3+2x respectively.

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mylen [45]
v=\frac{s}{t}\\\\s=500m=0.5km\\\\t=6min=\frac{6}{60}h=\frac{1}{10}h=0.1h\\\\v=\frac{0.5}{0.1}\ km/h=5\ km/h
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In the problem · N = 1, N must be _____.
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Answer:

- 1

Step-by-step explanation:


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Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its mean number of unoccup
Mkey [24]

The given sample's 95% confidence interval is 11.6 ± 0.5357. I.e., from the lower bound 11.06 to the upper bound 12.14. Its margin error is 0.5357.

<h3>How to find the confidence interval?</h3>

To find the confidence interval C.I,

  • Determine the mean(μ) of the sample
  • Determine the standard deviation(σ)
  • Determine the z-score for the given confidence level using the z-score table
  • Using all these, the confidence interval is calculated by the formula,  C. I = μ ± z(σ/√n) where n is the sample size and z(σ/√n) gives the margin error. So, we can also write C. I = mean ± margin error.

<h3>Calculation:</h3>

It is given that,

Sample size n = 225

Sample mean μ = 11.6

Standard deviation σ = 4.1

Since 95% confidence interval, z-score is 1.96

So, the required confidence interval is calculated by,

C. I = μ ± z(σ/√n) or mean ± margin error

On substituting,

C. I = 11.6 ± 1.96(4.1/√225)

     = 11.6 ± 1.96 × 0.2733

     = 11.6 ± 0.5357

So, the lower bound = 11.6 - 0.5357 = 11.065 and

the upper bound = 11.6 + 0.5357 = 12.135.

Thus, the confidence interval is from 11.06 to 12.14, and its margin error is 0.0537 for the population mean number of unoccupied seats per flight.

Learn more about confidence intervals here:

brainly.com/question/16236451

#SPJ4

3 0
2 years ago
Consider the trinomial x^2+10x+24
tino4ka555 [31]

Answer:

see explanation

Step-by-step explanation:

(a)

(x + 2)(x + 12) ← expand using FOIL gives

x² + 14x + 24 ≠ x² + 10x + 24

(b)

consider the factors of the constant term (+ 24) which sum to give the coefficient of the x- term (+ 10)

the factors are + 6 and + 4 , since

6 × 4 = 24 and 6 + 4 = 10 , then

x² + 10x + 24 = (x + 6)(x + 4)

8 0
2 years ago
Together, two apples have 175 gram of fat. How many apples have a total of 4 grams of fat?
inysia [295]

I'm pretty sure if the answer accepts decimals, if two apples = 175 grams, then one apple equals 87.5 grams, and if we want an apple that equals four grams, it would be less than one apple so we would divide the grams of one apple till it equals 4, therefore 87.5/4 = 21.875

P.S. im not entirely sure this is right im just trying to help :)

4 0
2 years ago
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