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Aneli [31]
3 years ago
7

How does a number line show that 0 is its own opposite

Mathematics
1 answer:
Leya [2.2K]3 years ago
8 0

Answer:

Negative numbers are numbers that are less than 0. The opposite of a positive number is negative, and the opposite of a negative number is positive. Since the opposite of 0 is 0 (which is neither positive nor negative), then 0 = 0. The number 0 is the only number that is its own opposite.

Step-by-step explanation:

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Increase £110 by 10%
UNO [17]

Answer:

121

Step-by-step explanation:

  1. Find 10% of 110: \frac{10}{100} × \frac{110}{1} = \frac{11}{1} = 11  
  2. Increase means add: 110 + 11 = 121
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There are 7 cows and 5 chicken in the farmer's filed
Vanyuwa [196]

Answer:

7:12

Step-by-step explanation:

Total no of animals in the field = 7 + 5 = 12

Ratio of cows 2 all d animals in the field =

\frac{no \: of \: cows}{total \: no \: of \: animals \: on \: the \: field}

Ratio = 7/12 = 7:12

8 0
3 years ago
A woman walks due west on the deck of a ship at 3 mi/h. The ship is moving north at a speed of 22 mi/h. Find the speed and direc
Minchanka [31]

Answer: The speed is 22.2 mi/hr and woman is 8° north relative to the surface of the water.

Step-by-step explanation:

Since we have given that

Speed at which woman walks due west = 3 mi/hr

Speed at which ship moving due north = 22 mi/hr

Now it forms "Pythagorus theorem":

So, it becomes,

H^2=B^2+P^2\\\\H^2=3^2+22^2\\\\H^2=9+484\\\\H^2=493\\\\H=\sqrt{493}\\H=22.20\ mi/hr

And the direction of the woman relative to the surface of the water is given by

\theta=\sin^{-1}x(\dfrac{3}{22.2})=7.76\approx 8^\circ

Hence, the speed is 22.2 mi/hr and woman is 8° north relative to the surface of the water.

5 0
3 years ago
A laptop company claims up to 11.0 hours of wireless web usage for its newest laptop battery life. However, reviews on this lapt
emmainna [20.7K]

Answer:

Step-by-step explanation:

given that a  laptop company claims up to 11.0 hours of wireless web usage for its newest laptop battery life. However, reviews on this laptop shows many complaints about low battery life. A survey on battery life reported by customers shows that it follows a normal distribution with mean 10.5 hours and standard deviation 27 minutes.

convert into same units into hours.

X is N(10.5, 0.45)

a)  the probability that the battery life is at least 11.0 hours

P(X\geq 11)\\\\=1-0.8667\\=0.1333

(b)  the probability that the battery life is less than 10.0 hours

=P(X

(c)  the time of use that is exceeded with probability 0.97

=97th percentile

= 11.844

d)  The time of use that is exceeded with probability 0.9 is

is 90th percentile = 10.885

8 0
3 years ago
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