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Leni [432]
3 years ago
10

Simplify the following expression into simplest form with all positive exponents

Mathematics
2 answers:
mamaluj [8]3 years ago
4 0

Answer:

I'm am pretty sure that the answer is 320. Hope this helps!

timofeeve [1]3 years ago
4 0

Hey there!

\mathsf{(7 \times 10^8) - (4 \times10^6)}

\mathsf{= 7\times10^8 - 4\times10^6}

\mathsf{10^8}

\mathsf{= 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10\times 10}

\mathsf{= 100 \times 100 \times 100\times 100}

\mathsf{= 10,000\times10,000}

\boxed{\mathsf{\bf = 100,000,000}}

\mathsf{7\times100,000,000 - 4 \times10^6}

\mathsf{10^6}

\mathsf{= 10 \times 10 \times 10 \times 10 \times 10\times10}

\mathsf{= 100\times 100\times100}

\mathsf{= 10,000\times100}

\boxed{\mathsf{= \bf 1,000,000}}

\mathsf{7 \times 100,000,000 - 4 \times 1,000,000}

\mathsf{7\times100,000,000 = \boxed{\bf 700,000,000}}

\mathsf{700,000,000 - 4 \times1,000,000}

\mathsf{4\times 1,000,000 = \boxed{\bf 4,000,000}}

\mathsf{700,000,000 - 4,000,000}

\boxed{\mathsf{= \bf 696,000,000}}

\boxed{\boxed{\large\textsf{Answer: \huge \bf 696,000,000}}}\huge\checkmark

\large\textsf{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

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3 years ago
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Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 76.676.6
faltersainse [42]

Answer:

Step-by-step explanation:

Researchers measured the data speeds for a particular smartphone carrier at 50 airports.

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n= 50

X[bar]= 17.95

S= 23.39

a. What is the difference between​ the carrier's highest data speed and the mean of all 50 data​ speeds?

If the highest speed is 76.6 and the sample mean is 17.95, the difference is 76.6-17.95= 58.65 Mbps

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To know how many standard deviations is the max value apart from the sample mean, you have to divide the difference between those two values by the standard deviation

Dif/S= 58.65/23.39= 2.507 ≅ 2.51 Standard deviations

c. Convert the​ carrier's highest data speed to a z score.

The value is X= 76.6

Using the formula Z= (X - μ)/ δ= (76.6 - 17.95)/ 23.39= 2.51

d. If we consider data speeds that convert to z scores between minus−2 and 2 to be neither significantly low nor significantly​ high, is the​ carrier's highest data speed​ significant?

The Z value corresponding to the highest data speed is 2.51, considerin that is greater than 2 you can assume that it is significant.

I hope it helps!

3 0
3 years ago
What is 25/22 as a decimal rounded to the nearest hundredth?
Alex777 [14]
Write 35/22 as a decimal How to convert the fraction 35/22 to a decimal value. Please, input values in this format: a b/c or b/c. 
<span>
Examples: Four tenths should be typed as 4/10. One and three-half should be typed as 1 3/2. For mixed numbers, please leave a space between the the integer and the fraction.

</span><span>Enter a fraction value:
</span>35/22/ Ex.: 1/2, 2 1/2, 5/3, etc. Note that 2 1/2 means two and half = 2 + 1/2 = 2.5/ Your answer 1.5909090909090908

8 0
3 years ago
Solve the inequality 10-3x&gt;-11​
pochemuha

Answer:

The solution to your inequality is:  x ‹ 7

Step-by-step explanation:

8 0
3 years ago
A coin is tossed 600times with the frequencies as:
brilliants [131]

Answer:

  • see below

Step-by-step explanation:

Total number of trials =600.

Number of heads = 342.

Number of tails = 258

On tossing a coin,

let  \: E_1  \: and  \: E_2  \: be  \: the  \: events \:  of \:  getting  \: a  \: head

and of getting a tail respectively.

then,

1)  \: P \:  (getting \:  a  \: head) = \: P \:  (E_1)

\longrightarrow \:  \frac{number \: of \: heads \: coming \: up}{total \: number \: of \: trials}

\longrightarrow \:  \frac{342}{600}  =  \frac{57}{100}

\longrightarrow \: 0.57

\red{ \rule{150pt}{3pt}} \:

2) P (getting \: a\: tail) =P (E_2)

\longrightarrow \:  \frac{number \: of \: tails \: coming \: up}{total \: number \: of \: trials}

\longrightarrow \:  \frac{258}{600}  =  \frac{43}{100}

\longrightarrow \: 0.43

6 0
2 years ago
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