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SpyIntel [72]
2 years ago
5

What’s the difference between numbers that are to the power of with parentheses and no parentheses. For example (-2/5)^3 and -2/

5^3. Please explain this rule and thank you.
Mathematics
1 answer:
Verdich [7]2 years ago
8 0

Answer:

See below

Step-by-step explanation:

The first one 'cubes' the denominator AND the numerator:

(-2/5)^3  = -2/5  * -2/5  * -2/5 =  -8/125

The second one 'cubes' only the denominator:

-2/5^3  = -2 / (5 * 5 * 5) =  - 2 / 125

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Hi!!
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3 years ago
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elixir [45]
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. A study of one thousand teens found that the number of hours they spend on social networking sites each week is normally distr
Gnesinka [82]

We are given the following data:

Sample Size = n = 1000

Sample Mean = u = 15 hours

Population Standard Deviation = s = 2 hours

Since we know the population standard deviation, we can use z distribution to find the confidence interval about the mean. z value for 95% confidence interval is 1.96.

Formula for the confidence interval is:

(u-z\frac{s}{\sqrt{n}} ,  u+z\frac{s}{\sqrt{n}})

Using the values in the formula, we get:

(15-1.96\cdot\frac{2}{\sqrt{1000}},  15+1.96\cdot\frac{2}{\sqrt{1000}})\\ \\  (14.88,15.12)

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Do problem 6 show work i will give brainliest if ur correct.
aliina [53]

Step-by-step explanation:

they forget the last step which is to take the square root of the sum

7) a = 4

b = 17

a² + b² = c²

4²+ 17² = c²

16 + 289 = c²

305 = c²

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3 years ago
Orwell building supplies' last dividend was $1.75. Its dividend growth rate is expected to be constant at 38.00% for 2 years, af
WITCHER [35]

Answer:

Estimated current stock price is $46.84

Step-by-step explanation:

First we have to find the value of dividend payment t_1, t_2 \& t_3

Given D_0=$1.75

Yearly growth rate for next 2 years( g_1 )=38.00%

D_1=\$1.75\times 1.38=\$2.42

D_2=\$2.42\times1.38=\$3.34

Growth after two years will 6% indefinitely

g_2=6\%=\dfrac{6}{100}=0.06

D_3=\$3.34\times1.06=\$3.54

Estimate of current stock price is

=\dfrac{D_1}{(1+r)}+\dfrac{D_2}{(1+r)^{2}}+\dfrac{\dfrac{D_3}{(r-g_2)}}{(1-r)^{3}}

=\dfrac{\$2.42}{(1.12)}+\dfrac{\$3.34}{(1.12)^{2}}+\dfrac{\dfrac{\$3.54}{(0.12-0.06)}}{(1.12)^{3}}

=$46.84

Estimate of current stock price is =$46.84

3 0
2 years ago
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