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devlian [24]
3 years ago
13

5 1/3 divided by 1 1/6

Mathematics
1 answer:
NeTakaya3 years ago
5 0

4.57142857143

Step-by-step explanation:

I googled it

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A boat travels 105 km downstream in 5 hours. The return trip upstream takes 7 hours. Find the speed of the boat in still water a
notsponge [240]
Speed of the boat = u
speed of the current = v

in downstream,
u - v = 105/5
u - v = 21

in upstream
u + v = 105/7
u + v = 15

add both equations
2u = 36
u = 18

v = -3

so
speed of the boat = 18 km/h
speed of the current = 3 km/h
4 0
3 years ago
What is the input value for the following function if the output value is 5?
Zina [86]
The answer to the problem is d
8 0
3 years ago
Factor Completely: 3x^2+8x+5
Katen [24]

Answer:

17x+5

Step-by-step explanation:

3x^2=9x

9x+8x+5

(9x+8x)+5

17x+5

5 0
4 years ago
Adonis created a rectangular play area for his dog in his backyard. The length of the long side was 10ft and the length of the s
Drupady [299]

Answer:

The perimeter of the dog's play area is 30 ft

Step-by-step explanation:

Rectangle:

  • The opposite sides are congruent.
  • The opposite angles are congruent.
  • The sum of all four angles of a rectangle is 360°.
  • The sum of two adjacent angles of a rectangle is 180°.
  • The diagonals bisect each other.
  • The perimeter of a rectangle is = 2(Length+width)
  • The area of a rectangle is = Length × width

Given that,

The length of the long side of the dog's play area was = 10 ft.

So, Length of dog's play area is = 10 ft.

The length of the short side of the dog's play area was = 5 ft.

So, width of dog's play area is = 5 ft.

It is a rectangular plot.

So, the perimeter of the dog's play area is =2(Length+width)

                                                                      =2(10+5) ft

                                                                      =2(15) ft

                                                                      =30 ft

5 0
3 years ago
The mean time it takes to walk to the bus stop is 8 minutes (with a standard deviation of 2 minutes) and the mean time it takes
11111nata11111 [884]
(a) Average time to get to school
Average time (minutes) = Summation of the two means = mean time to walk to bus stop + mean time for the bust to get to school = 8+20 = 28 minutes

(b) Standard deviation of the whole trip to school
Standard deviation for the whole trip = Sqrt (Summation of variances)

Variance = Standard deviation ^2
Therefore,
Standard deviation for the whole trip = Sqrt (2^2+4^2) = Sqrt (20) = 4.47 minutes

(c) Probability that it will take more than 30 minutes to get to school
P(x>30) = 1-P(x=30)
Z(x=30) = (mean-30)/SD = (28-30)/4.47 ≈ -0.45
Now, P(x=30) = P(Z=-0.45) = 0.3264
Therefore,
P(X>30) = 1-P(X=30) = 1-0.3264 = 0.6736 = 67.36%

With actual average time to walk to the bus stop being 10 minutes;

(d) Average time to get to school
Actual average time to get to school = 10+20 = 30 minutes

(e) Standard deviation to get to school
Actual standard deviation = Previous standard deviation = 4.47 minutes. This is due to the fact that there are no changes with individual standard deviations.

(f) Probability that it will take more than 30 minutes to get to school
Z(x=30) = (mean - 30)/Sd = (30-30)/4.47 = 0/4.47 = 0

From Z table, P(x=30) = 0.5
And therefore, P(x>30) = 1- P(X=30) = 1- P(Z=0.0) = 1-0.5 = 0.5 = 50%
8 0
3 years ago
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