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Sergeu [11.5K]
3 years ago
12

Simplify this complex fraction

Mathematics
1 answer:
Charra [1.4K]3 years ago
7 0

Answer:

2/ 21

Step-by-step explanation:

2/3 ÷ 7

Copy dot flip

2/3 * 1/7

2/ 21

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Will mark you brainliest for the best answer! Find the exact length of arc ADC . In your final answer, include all of your calcu
nevsk [136]

Answer:

360 whole circle minus the 60 you don't want =300

Step-by-step explanation:

4 0
2 years ago
Integrate the following. ∫<img src="https://tex.z-dn.net/?f=5x%5E%7B4%7D%20dx" id="TexFormula1" title="5x^{4} dx" alt="5x^{4} dx
Vadim26 [7]

Answer:

\displaystyle D)  {x}^{5}  +  \rm C

Step-by-step explanation:

we would like to integrate the following Integral:

\displaystyle \int 5 {x}^{4} \, dx

well, to get the constant we can consider the following Integration rule:

\displaystyle \int c{x} ^{n}  \, dx  =  c\int  {x}^{n}  \, dx

therefore,

\displaystyle 5\int  {x}^{4} \, dx

recall exponent integration rule:

\displaystyle \int {x} ^{n}  \, dx  =  \frac{ {x}^{n + 1} }{n + 1}

so let,

  • n = 4

Thus integrate:

\displaystyle  =  5\left( \frac{ {x}^{4+ 1} }{4 +  1}  \right)

simplify addition:

\displaystyle  =  5\left( \frac{ {x}^{5} }{5}  \right)

reduce fraction:

\displaystyle  =  {x}^{5}

finally we of course have to add the constant of integration:

\displaystyle  \boxed{ {x}^{5}  +  \rm C}

hence,

our answer is D)

7 0
3 years ago
Read 2 more answers
In an inductive generalization, in order to achieve an error margin of plus or minus 3 percentage points at a confidence level o
ANTONII [103]
Let n =  required random sample size.

Assume that the population standard deviation is known as σ.
Let m =  sample mean.
At the 95% confidence level, the expected range is
(m - k(σ/√n), m + k(σ/√n))
where k = 1.96.

Therefore the error margin is 1.96(σ/√n).
Because the error margin is specified as 3% or 0.03, therefore
(1.96σ)/√n = 0.03
√n = (1.96σ)/0.03
n = 128.05σ²

This means that the sample size is about 128 times the population variance.

Answer:
Smallest sample size = 128.05σ², where σ = population standard deviation.
6 0
3 years ago
Can somebody please help
horsena [70]

Step-by-step explanation:

x + 90⁰ + 90⁰ + 120⁰ = 360 ....sum of angles of quadrilatral is 360⁰

x = 60⁰...

7 0
3 years ago
A container of beads contains: 8 red beads, 6 yellow beads, and 6 green beads. A bead will be drawn from the basket and replaced
77julia77 [94]

Answer:

Because of probability, a green or red bead would be drawn 14/20 times because there are 20 total beads and adding together the numbers for green and red. From this, if you multiply by 3/3 you can see that 42/60 times it will be a green bead. A reasonable prediction for green beads would then be 42 times. Hope it helps :D

7 0
3 years ago
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