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3 years ago

What is the simplified form of (2 X 102)2 in standard notation? Do not use commas in your answer. (HAS TO BE A NUMBER)

Mathematics

1 answer:

Oxana [17]3 years ago

7 0

Answer:

40000

Step-by-step explanation:

$(2 \times {10}^{2} )^{2} \\ = {2}^{2} \times {10}^{2 \times 2} \\ = 4 \times {10}^{4} \\ = 40000$

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Shalnov [3]

Answer:

3/4 and in decimal it's 0.75

Step-by-step explanation:

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2 years ago

HELP PLS I NEED TO TURN IT IN MONDAY!

AnnyKZ [126]

Terri can swim 3 laps in 2.5 minutes. To find how long it takes to swim 20 laps, you can make a proportion.

$\frac{Lap}{Time}$

Put the amount of laps on the top and the time(minutes) at the bottom.

$\frac{3}{2.5} = \frac{20}{x}$

Cross multiply:

$20 \times 2.5 = 50$

Divide by 3:

$50 \div 3 = 16 \frac{2}{3} \rightarrow 16.67$

It would take Terri $16 \frac{2}{3}$ OR $16.67$ minutes to run 20 laps.

6 0

3 years ago

Mon poured 100 kilograms of water into 10 kg of salt. He made ___ kilograms of ___% salt solution.

Marianna [84]

Mon had 100 kg of water, dumped it into 10kg of pure salt, namely 100% salt, what happened? well, it ended up with 100kg + 10kg, or 110kg of saline solution, off which 10kg are just salt.

so, if we take the 110kg to be the 100%, what is 10kg in percentage off of it? namely the salty part.

$\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
110&100\\
10&x
\end{array}\implies \cfrac{110}{10}=\cfrac{100}{x}\implies x=\cfrac{10\cdot 100}{110}$

6 0

3 years ago

Read 2 more answers

Ask Your Teacher Consider a binomial random variable with n = 5 and p = 0.8. Let x be the number of successes in the sample. Eva

Readme [11.4K]

Answer:

0.942 is the required probability.

Step-by-step explanation:

We are given the following in the question:

x is a binomial random variable with n = 5 and p = 0.8.

Then,

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

We have to evaluate:

$P(x \geq 3) = P(x = 3) + P(x = 4) +P(x=5)\\\\= \binom{5}{3}(0.8)^3(1-0.8)^2 +\binom{5}{4}(0.8)^4(1-0.8)^1 +\binom{5}{5}(0.8)^5(1-0.8)^0\\\\= 0.2048 +0.4096+0.3276=0.942$

0.942 is the required probability.

4 0

3 years ago

Please please pleaseeee answer

AVprozaik [17]

Answer:C would be the correct answer

Step-by-step explanation:

3 0

3 years ago