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nika2105 [10]
1 year ago
6

For which of the following situations would a linear function be a reasonable choice for a mathematical model?

Mathematics
2 answers:
Harman [31]1 year ago
5 0

The third option is the best option.

Airida [17]1 year ago
4 0
The third option is the best fit for the application of a linear model.

In the first option, there is likely to be a correlation but it cannot be a linear one as goals are missed even from inside the keeper's box.

In the second option, it is safe to assume that each person will at least 2 other so this will follow an exponential model.

In the third option, the stopping distance is given by the equation of motion:
s = ut + 1/2 x at²
And this shows that the distance varies linearly with speed.
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For the diagram below figure b is a reflection of y=2x of the line y =x
Scilla [17]
The equation of the line would be y = (1/2)x.

To find the equation of a line that is reflected through the line y = x, we just switch the x and y. Then, solve for y.

y = 2x
x = 2y
0.5x = y


5 0
1 year ago
Sharon pays $98.75 for twenty-five 14-ounce boxes of Yummy flakes cereal. How much does on box of cereal cost
Viefleur [7K]

Answer:

$3.95

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 52
Ludmilka [50]

Answer:

the probability that a sample of the 35 exams will have a mean score of 518 or more is <em> 0.934 </em>or<em> 93.4%</em>.

Step-by-step explanation:

This is s z-test because we have been given a sample that is large   (greater than 30) and also a standard deviation. The z-test compares sample results and normal distributions. Therefore, the z-statistic is:

(520 - 518) / (180/√35)

= 0.0657

Therefore, the probability is:

P(X ≥ 0.0657) = 1 - P(X < 0.0657)

where

  • X is the value to be standardised

Thus,

P(X ≥ 0.0657) = 1 - (520 - 518) / (180/√35)

                       = 1 - 0.0657

                       = 0.934

Therefore,  the probability that a sample of the 35 exams will have a mean score of 518 or more is <em>0.934 or 93.4%</em>.

3 0
1 year ago
Given: FH ⊥ GH; KJ ⊥ GJ Prove: ΔFHG ~ ΔKJG Identify the steps that complete the proof. ♣ = ♦ = ♠ =
Feliz [49]

1 is all right angles are congruent 2 angles fgh is congruent to angle kgj 3 aa similarity theorem just took the test this are correct

6 0
2 years ago
Read 2 more answers
Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?
quester [9]
X^3-7x^2-5x+35

= x^2(x-7) - 5 (x-7)   now by definition 

=(x^2-5)(x-7)

hope this helps
8 0
1 year ago
Read 2 more answers
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