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GuDViN [60]
3 years ago
12

A community activist is gathering data to support an initiative to have a traffic light constructed at a busy intersection near

a : On average, 100 vehicles pass through the intersection daily during the time when students are traveling to school. The initia the traffic light is based on promoting safety, as supporters feel vehicles pass through the intersection at dangerously high sp The activist wants to know the average speed at which vehicles pass through the intersection during this critical time. He rand picked 20 vehicles during the time when students are traveling to school, assuming that these 20 vehicles accurately represer vehicles that pass through the intersection during the critical time. He recorded their speed as they passed through the inters with a radar speed gun. The speeds collected, given in miles per hour, are shown in the table below. 32 20 41 38 35 28 25 18 30 27 3115 35 37 3228 25 33 32 30 Can the approximate speed for all of the cars that pass through the intersection during this critical time be calculated from the data? If so, calculate it. Non-integer answers should be rounded to the nearest tenth. If no assumption can be made, type "0" box. The approximate speed for all of the cars that pass through the intersection during this critical time is miles per hour
Mathematics
1 answer:
Arlecino [84]3 years ago
8 0

Answer: 29.6

Step-by-step explanation:

i got it right

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George has $49 which he decides to spend on x and y. commodity x costs $5 per unit and commodity y costs $11 per unit. he has th
FromTheMoon [43]

We are given the equations:

<span>5 x + 11 y = 49                    --> eqtn 1</span>

<span>u = 3 x^2 + 6 y^2               --> eqtn 2</span>

 

Rewrite eqtn 1 explicit to y:

11 y = 49 – 5 x

<span>y = (49 – 5x) / 11               --> eqtn 3</span>

 

Substitute eqtn 3 to eqtn 2:

u = 3 x^2 + 6 [(49 – 5x) / 11]^2

u = 3 x^2 + 6 [(2401 – 490 x + 25 x^2) / 121]

u = 3 x^2 + 14406/121 – 2940x/121 + 150x^2/121

u = 4.24 x^2 – 24.3 x + 119.06

Derive then set du/dx = 0 to get the maxima:

du/dx = 8.48 x – 24.3 = 0

solving for x:

8.48 x = 24.3

x = 2.87

 

so y is:

y = (49 – 5x) / 11 = (49 – 5*2.87) / 11

y = 3.15

 

Answer:

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7 0
3 years ago
How does estimating an addition or subtraction problem help you know if an answer is reasonable?
kiruha [24]

Answer:

It helps you know if the answer is reasonable because when you do the work and get your answer, you can check if it is close to your estimate, and if it is, it is most likely correct. On the other hand if it is not close to the estimate it is most likely wrong, unless you estimated incorrectly.

Step-by-step explanation:

7 0
3 years ago
What decimal is equal to 3/10
Aleks [24]

Answer:

0.3

Step-by-step explanation:

6 0
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before getting to school john has a few errands to run john has to walk 5 blocks to the galley and 9 blocks to the library befor
Serggg [28]

Answer:

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Step-by-step explanation:

The total of what John has already walked and the number more he must walk will be equal to the number he has to walk to get to school.

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John must walk 9 blocks more.

_____

We recognize that 5+7 = 12, so that last part of the sum totals zero.

6 0
2 years ago
(5⅐)⁴=( ) OPTIONS : A.) (5⁴)⅐ B.)5²⁸ C.)(5)¹/²⁸ D.)(5)⁷/⁴​
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Answer:

a

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