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mariarad [96]
4 years ago
5

1.64 as mixed number in simplest form

Mathematics
1 answer:
Anettt [7]4 years ago
3 0

Answer:

\large\boxed{1.64=1\dfrac{16}{25}}

Step-by-step explanation:

1.64=1+0.\underbrace{64}_2=1+\dfrac{64}{1\underbrace{00}_2}=1\dfrac{64}{100}=1\dfrac{64:4}{100:4}=1\dfrac{16}{25}

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Multiply (2.5x10^-10) (7x10^-6)
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We want to multiply 2.5\cdot10^{-10} by 7\cdot10^{-6}.

The numbers are written in scientific notation. So we expect the answer also to be in scientific notation.

the multiplication of the 10's, using the exponents rule is :

10^{-10}\cdot 10^{-6}=10^{-10+(-6)}=10^{-10-6}=10^{-16}

the multiplication of the other 2 numbers is:

2.5\cdot7=17.5=1.75\cdot10

(we write the number so that it has only one digit to the left of the decimal point).

Thus, 

(2.5\cdot10^{-10})\cdot(7\cdot10^{-6})=1.75\cdot10\cdot10^{-16}=1.75\cdot10^{-15}



Answer: 1.75\cdot10^{-15}


6 0
4 years ago
Read 2 more answers
The annual 2-mile fun-run is a traditional fund-raising event to support local arts and sciences activities. It is known that th
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Answer: 0.0228

Step-by-step explanation:

Given : The  mean and the standard deviation of finish times (in minutes) for this event are respectively as :-

\mu=30\\\\\sigma=5.5

If the distribution of finish times is approximately bell-shaped and symmetric, then it must be normally distributed.

Let X be the random variable that represents the finish times for this event.

z score : z=\dfrac{x-\mu}{\sigma}

z=\dfrac{19-30}{5.5}=-2

Now, the probability of runners who finish in under 19 minutes by using standard normal distribution table :-

P(X

Hence, the approximate proportion of runners who finish in under 19 minutes = 0.0228

8 0
3 years ago
Write the equation, in point-slope form, of a line passing through<br> (5, 8) and (11, 13).
cluponka [151]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
solve for x and y ,32base x+51base y and 23base x +42 base y =710. ,number bases interms of simultaneous equation​
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Answer:

<h2>x = -348.5, y = 350.5</h2>

Step-by-step explanation:

32base x means 3x + 2

Similarly, 32base x+51base y equals to 3x + 2 + 5y + 1 = 3x + 5y + 3

and 23base x +42 base y means 2x + 3 + 4y + 2 = 2x + 4y + 5

As per the given condition, 3x + 5y + 3 = 2x + 4y + 5\\x + y = 2

Putting, y = 2 - x in 2x + 4y + 5 = 710, we get

2x + 4y = 705\\2x + 4(2 - x) = 705\\8 - 2x = 705\\4 - x = 352.5\\x = -348.5

y = 2 - x = 2 - (-348.5) = 2 + 348.5 = 350.5

6 0
4 years ago
I need help with this
posledela

Answer:

A

Step-by-step explanation:

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6 0
3 years ago
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