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RUDIKE [14]
2 years ago
11

ula1" title="(\frac{8a^{-5}b^{4} }{12a^{-6}b^{-2} })" alt="(\frac{8a^{-5}b^{4} }{12a^{-6}b^{-2} })" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Oxana [17]2 years ago
6 0

Answer:

→ \frac{8 {a}^{( - 5) } {b}^{(4)}  }{12 {a}^{( - 6)} {b}^{( -  2)}  }  =  \frac{2 {a}^{(6 - 5)}{b}^{(4 + 2)} }{3}   =  \boxed{ \frac{2}{3}a {b}^{6} }✓ \\

  • <u>(2/3)ab⁶</u> is the right answer.
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A normally distributed data set has a mean of 0 and a standard deviation of 2. Which of the following is closest to the percent
frutty [35]

A normally distributed data set has a mean of 0 and a standard deviation of 2. The closest to the percent of values between -4.0 and 2.0 would be 84%.

<h3>What is the empirical rule?</h3>

According to the empirical rule, also known as the 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95%, and 99.7% of the values lies within one, two, or three standard deviations of the mean of the distribution.

P(\mu - \sigma < X < \mu + \sigma)  \approx 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma)  \approx 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma)  \approx 99.7\%

A normally distributed data set has a mean of 0 and a standard deviation of 2.

Z=(x-\mu)/\sigma

P(x=-0.4)\\\\z=(-0.4-0)/2\\\\= -0.2\\\\P(x=2)\\z=(2-0)/2\\\\=1

P(-0.4 < x < 2)=p(-0.2 < z < 1)=p(-0.2 < z < 0)+p(0 < z < 1)……….(by symmetry)

=.49865+.3413

.83995…….(by (http://83995…….by) table value)

=.8400 × 100

=84%

Learn more about the empirical rule here:

brainly.com/question/13676793

#SPJ2

4 0
1 year ago
SOLVE THE EQUATION SHOW YOUR WORK 3x = 45
Hunter-Best [27]

Answer:

x = 15

Step-by-step explanation:

3x = 45

x = 45/3

<em><u>x = 15</u></em>

4 0
3 years ago
Read 2 more answers
Michael Pedro and Kevin were saving money. All together they saved $130. Kevin saved 3 times more than Pedro. Michael saved $20
yKpoI14uk [10]

Answer:

The saving of all three person are

The Pedro's saving is $ 30

The Michael's saving is $ 10

The Kevin's saving is $ 90

Step-by-step explanation:

Given as :

The three person namely Michael , Pedro , Kevin

The total saving of all together = $ 130

Let The Michael's saving = $ M

The Pedro's saving = $ P

The Kevin's saving = $ k

I.e Michael's saving + Pedro's saving + Kevin's saving = $ 130

Or, M + P + K = $ 130

again ,

Kevin saved 3 times more than Pedro

I.e K = 3 × P

And , Michael save $ 20 less than Pedro

I.e M = P - $ 20

Now

∵ M + P + K = $ 130

or, (  P - $ 20) + P + 3 × P = $ 130

Or, 5 P - $ 20 = $ 130

Or, 5 P = $ 130 + $ 20

Or, 5 P = $ 150

∴ P = $ \frac{150}{5}

I.e P = $ 30

So The Pedro's saving = P = $ 30

And

M = P - $ 20

∴, M = $ 30 - $ 20

I.e M = $ 10

So,  The Michael's saving = M = $ 10

Similarly

K = 3 × P

∴ k = 3 × $ 30

I.e K = $ 90

So, The Kevin's saving = k = $ 90

Hence The saving of all three person are

The Pedro's saving is $ 30

The Michael's saving is $ 10

The Kevin's saving is $ 90

Answer

5 0
3 years ago
A right circular cone of radius 6 inches, side length of 16 inches and height of h inches. Which is closest to the height of a c
Elis [28]

Answer:

Height of cone (h) = 14.8 in (Approx)

Step-by-step explanation:

Given:

Radius of cone (r) = 6 in

Slant height (l) = 16 in

Find:

Height of cone (h) = ?

Computation:

Height of cone (h) = √ l² - r²

Height of cone (h) = √ 16² - 6²

Height of cone (h) = √ 256 - 36

Height of cone (h) = √220

Height of cone (h) = 14.832

Height of cone (h) = 14.8 in (Approx)

8 0
3 years ago
I'm stuck on this one! Please help
rewona [7]

Answer:

The answer is 12

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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