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raketka [301]
3 years ago
10

Nick went bike ride to the store 5 miles away.If it took nick 1/2 of an hour to get there and 2/5 to get back,what was his avera

ge rate of speed
Mathematics
1 answer:
pav-90 [236]3 years ago
5 0

Answer:

11.1m/s

Step-by-step explanation:

Given parameters:

Distance of store  = 5miles

Time to store = \frac{1}{2}hr

Time from store  = \frac{2}{5}hr

Unknown:

Average speed  = ?

Solution:

Average speed is the total distance divided by the total time taken.

   Average speed  = \frac{total distance}{total time taken}  

Total distance  = distance to store + distance from store  = 5 + 5 = 10miles

Total time taken  =  \frac{1}{2}hr +  \frac{2}{5}hr = \frac{9}{10}hr

Average speed  = \frac{10}{\frac{9}{10} }   = 10 x \frac{10}{9}   = 11.1m/s

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A farmer wants to fence a rectangular area of 72 square feet next to a river. Find the length and width of the rectangle which u
Arlecino [84]

Answer:

  • 12 ft parallel to the river
  • 6 ft perpendicular to the river

Step-by-step explanation:

The least fence is used when half the total fence is parallel to the river. That is, the shape of the rectangle is twice as long as it is wide.

72 = W(2W)

36 = W²

6 = W . . . . . . the width perpendicular to the river

12 = 2W . . . .  the length parallel to the river

_____

<em>Development of this relation</em>

Let T represent the total length of the fence for some area A. Then if x is the length along the river, the width is y=(T-x)/2, and the area is ...

  A = xy = x(T -x)/2

Note that the equation for area is that of a parabola with zeros at x=0 and at x=T. That is, for some fence length T, the area will be a maximum at the vertex of this parabola. That vertex is located halfway between the zeros, at ...

 x = (0 +T)/2 = T/2

The corresponding area width (y) is ...

  y = (T -T/2)/2 = T/4

Equivalently, the fence length T will be a minimum for some area A when x=T/2 and y=T/4. This is the result we used above.

8 0
3 years ago
The centers for disease control and prevention reported that 25% of baby boys 6-8 months old in the united states weigh more tha
melisa1 [442]

Answer:

0.1971 ( approx )

Step-by-step explanation:

Let X represents the event of weighing more than 20 pounds,

Since, the binomial distribution formula is,

P(x)=^nC_r p^r q^{n-r}

Where, ^nC_r=\frac{n!}{r!(n-r)!}

Given,

The probability of weighing more than 20 pounds, p = 25% = 0.25,

⇒ The probability of not weighing more than 20 pounds, q = 1-p = 0.75

Total number of samples, n = 16,

Hence, the probability that fewer than 3 weigh more than 20 pounds,

P(X

=^{16}C_0 (0.25)^0 (0.75)^{16-0}+^{16}C_1 (0.25)^1 (0.75)^{16-1}+^{16}C_2 (0.25)^2 (0.75)^{16-2}

=(0.75)^{16}+16(0.25)(0.75)^{15}+120(0.25)^2(0.75)^{14}

=0.1971110499

\approx 0.1971

3 0
3 years ago
The volume of a sphere is increased by 6%. Calculate the corresponding percentage increased in it area.
lions [1.4K]

Answer:

The new volume will be V + 0.06V or 1.06V

Step-by-step explanation:

The volume of the sphere increased by 6% or 0.06V. This means the total volume of the sphere will be V + 0.06V or 1.06V.


3 0
4 years ago
Select all the correct statements.
lisabon 2012 [21]

Answer:

C,D,E,F

Step-by-step explanation:

A amplitude is 2

B period is 4pi

8 0
3 years ago
Read 2 more answers
The stock at Z-Mart was 2,500 items. The stock went down 10% after the weekend. On Wednesday, 10% more stock was added. How many
crimeas [40]
2500 * 0.9 = 2250
2250 * 0.9 = 2025 current stock
7 0
3 years ago
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