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Norma-Jean [14]

3 years ago

12

Sixteen college freshmen were asked to record the number of books they typically read in a week. here are their data: 2, 4, 6, 0

, 1, 10, 9, 0, 6, 3, 6, 8, 5, 4, 6, 2. what is the range of this distribution?

1 answer:

madam [21]3 years ago

8 0

I believe you just add all the numbers then divide by how many were there. You would divide by 16.

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Read 2 more answers

Alma invests $300 in an account that compounds interest annually. After 2 years, the balance of the account is $329.49. To the n

-Dominant- [34]

Invested amount (P) = $300.

Time in years (t) = 2 years.

Balance after 2 years (A) = $329.49.

Let us assume rate of interest = r % compounds annually.

We know, formula for compound interest

$A=P(1+r)^t$

Plugging values in formula, we get

$329.49=300(1+r)^2$

$\mathrm{Divide\:both\:sides\:by\:}300$

$\frac{300\left(1+r\right)^2}{300}=\frac{329.49}{300}$

$\left(1+r\right)^2=1.0983$

Taking square root on both sides, we get

$1+r=\sqrt{1.0983}$

$\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}$

$1+r-1=\sqrt{1.0983}-1$

$r=\sqrt{1.0983}-1$

$r=1.048-1$

r=0.048.

Converting it into percentage by multiplying by 100.

r=0.048 × 100

r = 4.8 %

Therefore, the rate of interest on the account is 4.8% compounds annually.

5 0

3 years ago

0,5.<img src="https://tex.z-dn.net/?f=%5Csqrt%7B0%2C09%7D" id="TexFormula1" title="\sqrt{0,09}" alt="\sqrt{0,09}" align="absmidd

Komok [63]

Answer:

0.21

Step-by-step explanation:

The given expression is :

$0.5\times \sqrt{0.09}-2\sqrt{0.05}+\sqrt \frac{1}{4}$

We need to solve it.

We know that,

$\sqrt{0.09}=0.3\ and\ \sqrt{0.05}=0.223$

So,

$0.5\times \sqrt{0.09}-2\sqrt{0.05}+\sqrt \frac{1}{4}=0.5\times 0.3-2\times 0.22+0.5\\\\=0.21$

or

$=\dfrac{21}{100}$

So, the value of the given expression is equal to 0.21.

8 0

3 years ago