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3 years ago

9

Holly had 5000 in her bank account.she withdrew $800 to buy a new bike.what is the percent decrease in the balance of her accoun

t?

1 answer:

vazorg [7]3 years ago

4 0

Answer:

16%

Step-by-step explanation:

800 is 16% of 5000 so and it decreased by 800, so it decreased by 16%

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4 years ago

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4 years ago

James needs to mix a 10% acid solution with a 50% acid solution to create 100 milliliters of a 26% solution. How many milliliter

Ymorist [56]

James must mix 60 millilitres of 10% solution and 40 millilitres of 50% solution.

Given that, James needs to mix a 10% acid solution with a 50% acid solution to create 100 millilitres of a 26% solution.

Let the acid solution needs to mix with 10% be <em>x</em> ml and the acid solution needs to mix with 50% will be 100 - <em>x</em> ml.

Now,

10% x + 50% ( 100 - <em>x</em> ) = 26% ×100

⇒ $\frac{10x}{100} +\frac{50(100-x)}{100}=\frac{2600}{100}$

⇒10<em>x</em> + 50( 100 - <em>x</em> ) = 2600

⇒10 <em>x</em> + 5000 - 50<em>x</em> = 2600

⇒10 <em>x</em> - 50 <em>x</em> = 2600-5000

⇒-40 <em>x</em> = -2400

⇒<em>x</em>=60

Therefore, James must mix 60 millilitres of 10% solution and 40 millilitres of 50% solution.

To learn more about the percentage visit:

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2 years ago

g Consider writing onto a computer disk and then sending it through a certifier that counts the number of missing pulses. Suppos

mario62 [17]

Answer:

a) P(1) = 0.1637

b) $P(x\geq 2) = 0.0176$

c) E(x) = 0.2

Step-by-step explanation:

If X follows a poisson distribution, the probability that a disk has exactly x missing pulses is:

$P(x)=\frac{e^{-m}*m^x}{x!}$

Where m is the mean and it is equal to the value of lambda. So, replacing the value of m by 0.2, we get that the probability that a disk has exactly one missing pulse is equal to:

$P(1)=\frac{e^{-0.2}*0.2^1}{1!}=0.1637$

Additionally, the probability that a disk has at least two missing pulses can be calculated as:

$P(x\geq 2)=1-P(x$

Where $P(x$ .

Then, $P(0)$ and $P(x\geq 2)$ are calculated as:

$P(0)=\frac{e^{-0.2}*0.2^0}{0!}=0.8187\\P(x\geq 2) = 1 - (0.8187 + 0.1637)\\P(x\geq 2) = 0.0176$

Finally, In the poisson distribution, E(x) is equal to lambda. So E(x) = 0.2

5 0

3 years ago