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lesantik [10]
3 years ago
12

Ben and Josh went to the roof of their 40-foot tall high school to throw their math books off the edge.

Mathematics
1 answer:
krok68 [10]3 years ago
3 0

Answer:

  • Josh's book lands first
  • Ben's lands about 0.648 seconds later

Step-by-step explanation:

Using the given equation for v=60 and s=40, the height of Ben's book is ...

  h(t) = -16t² +60t +40

We want to find t when h(t) = 0, so we're looking for the solution to ....

  0 = -16t² +60t +40

Using the quadratic formula, we find the positive value of t to be ...

  t = (-60 -√(60² -4(-16)(40)))/(2(-16)) = (15 +√385)/8 ≈ 4.3277

__

Similarly, the height of Josh's book is ...

  0 = -16t² +48t +40

  t = (-48 -√(48² -4(-16)(40)))/(2(-16)) = (12 +√304)/8 ≈ 3.6794

__

The time before Josh's book lands is shorter by ...

  4.3277 -3.6794 ≈ 0.6482 . . . . . seconds

Josh's book reaches the ground first, by about 0.648 seconds.

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Working with the Concepts.
Softa [21]

The standard deviation of the mileage for the sample of convertibles is 1.98977 miles.

<h3>What is standard deviation? </h3>

Standard deviation is used to determine how the values in a group differs from the mean of the values in the group. It is a measure of variation.

<h3>What is the standard deviation of the mileage? </h3>

In order to determine the standard deviation, take the following steps:

  • Determine the mean of the observation:

(25 + 25 + 24 + 21 + 21 + 21 + 20) / 7 =22.43

  • Determine the difference between each value and the mean and then square the result:

(25 - 22.43)² = 6.6049

(25 - 22.43)² = 6.6049

(24 - 22.43)² = 2.4649

(21 - 22.43)² = 2.0449

(21 - 22.43)² = 2.0449

(21 - 22.43)² = 2.0449

(20 - 22.43)² = 5.9049

Sum of squared difference = 27.7143

  • Determine the mean of the square differences and then find the square root of the mean:

√27.7143 / 7 = 1.98977

To learn more about standard deviation, please check: brainly.com/question/12402189

6 0
2 years ago
What is 2X + 2X +2 = 4X +2
iren2701 [21]
The answer is in the question, X would equal one
5 0
4 years ago
4)Jane has a bag of marbles. In the bag there are 4 red marbles, 8 blue marbles and 5 green
Llana [10]

Answer: There is 17 marbles

Step-by-step explanation:

A: 4+8+5=17

B: 8

C: It has more marbles than the others.

5 0
3 years ago
Explain how place value could be used to find the difference of 4.23 and 2.75
seropon [69]
You can use place value to align the numbers together so you can subtract correctly. Match the ones, tenths, and hundredths digits together to subtract.

4.23
2.75

then you can subtract correctly without any mistakes in place value
6 0
3 years ago
The weight of an object on a particular scale is 145.2 lbs. The measured weight may vary from the actual weight by at most 0.3 l
joja [24]

1. Know what you're looking for:

The range is the difference between the lowest and highest values.

Your weight is 145.2 and can vary from the actual weight by maximum 0.3 lbs less or maximum 0.3 lbs more.


2. Calculate your lowest and highest values :


Lowest : 145.2 - 0.3 = 144.9 lbs

Highest : 145.2 + 0.3 = 145.5 lbs


3. Calculate the range of actual weights of the object :


145.5 - 144.9 = 0.6 lbs


--> The answer is: <u>The range of actual weights of the object is 0.6 lbs.</u>


There you go! I really hope this helped, if there's anything just let me know! :)

4 0
3 years ago
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