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zlopas [31]
2 years ago
13

Charles is reading about computers. He learns that a computer processor can perform one command in approximately 0.000000016

Mathematics
1 answer:
ella [17]2 years ago
8 0

<em><u>The number 0.000000016 is expressed in scientific notation is:</u></em>

1.6 \times 10^{-8}

<em><u>Solution:</u></em>

Given that,

Charlie learns that a computer processor can perform one command in approximately 0.000000016  nanoseconds

We have to express in scientific notation

<em><u>Step 1:</u></em>

Given number is:

0.000000016

Move the decimal point in 0.000000016 until there is only one non-zero digit to the left of the decimal point

Here,

Move the decimal 8 places to the right to get 1.6

We have moved the decimal to left, therefore, exponent is negative

1.6 \times 10^{-8}

Thus the given number is expressed in scientific notation

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A cube has side length a. The side lengths are decreased to 50% of their original size. Write an expression in simplest form for
vaieri [72.5K]

Answer:

  V = a³/8

Step-by-step explanation:

The volume of the original cube is the cube of the side length:

  V = a³

When the side length is reduced to half its former value, the new volume is ...

  V = (a/2)³ = a³/2³

  V = a³/8 . . . . volume of the new cube

6 0
2 years ago
n 2018, homes in East Baton Rouge (EBR) Parish sold for an average of $239,000. You take a random sample of homes in Ascension p
Olenka [21]

Answer:

Conclusion

   There is no sufficient evidence to conclude that the mean of the home prices from Ascension parish is higher than the EBR mean

Step-by-step explanation:

From the question we are told that

   The population mean for EBR is  \mu_ 1  = \$239,000

    The sample mean for Ascension parish  is \= x_2  = \$246,000

   The  p-value  is  p-value  =  0.045

     The level of significance is  \alpha = 0.01

The null hypothesis is  H_o : \mu_2  = \mu_1

The  alternative hypothesis is  H_a  :  \mu_2 > \mu_1

Here \mu_2 is the population mean for Ascension parish

   From the data given values we see that  

          p-value  >  \alpha

So we fail to reject the null hypothesis

So we conclude that there is no sufficient evidence to conclude that the mean of the home prices from Ascension parish is higher than the EBR mean

3 0
2 years ago
together Charles, John, and Jerry received $50. Charles received $12, John received $24, and jerry received $14. what percent of
marissa [1.9K]

Answer:

Step-by-step explanation:

50

,

12

,

24

,

14

,

50

8 0
1 year ago
Read 2 more answers
sam lives in Massachusetts and wants to buy a television that costs $2000. the sales tax in Maine is only 5% which is less than
nexus9112 [7]
2000(1.0625)dave vs sam 2000(1.05)+30
2125 dave vs. sam 2,100+30
2125 dave vs. sam 2130
dave is correct, because it costs five dollars less in massachusetts than in Maine
3 0
2 years ago
Greg has $2,571.68 in his bank account and makes automatic monthly rental payments of $321.46 for a car loan. If he stops making
Anestetic [448]

Answer:

8 months

Step-by-step explanation:

Given that:

Amount of money present in the bank account = $2,571.68

Automatic monthly rental payments for car loan = $321.46

Any deposits in the bank account are stopped.

To find:

The number of months taken so that the automatic payments make the value of the account as zero?

Solution:

Let the number of months taken to make the value of the account zero = m months

To find the value of m, we need to divide the total amount initially present in bank account with the monthly rental payment amount.

Therefore, the equation to find the value of m, can be written as:

m = \dfrac{2571.68}{321.46}

On solving the above equation, we get the value as following:

\bold{m=8} months

5 0
2 years ago
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