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2 years ago

WILL GIVE BRAINLIEST simplify square root of 2 over 3 square root of 2

Mathematics

2 answers:

Marat540 [252]2 years ago

4 0

Answer:

Option 1

Step-by-step explanation:

2^½ ÷ 2^⅓

2^(½-⅓)

2^(⅙)

Dovator [93]2 years ago

3 0

Answer:

Option A, 2^(1/6)

Step-by-step explanation:

$\sqrt{2}$ is same as 2^(1/2)

$\sqrt[3]{2}$ is same as 2^(1/3)

2^(1/6)

Answer: Option A, 2^(1/6)

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If we sample from a small finite population without replacement, the binomial distribution should not be used because the event

seropon [69]

Answer:

5/4324 = 0.001156337

Step-by-step explanation:

To better understand the hyper-geometric distribution consider the following example:

There are 100 senators in the US Congress, and suppose 60 of them are republicans so 100 - 60 = 40 are democrats).

We extract a random sample of 30 senators and we want to answer this question:

What is the probability that 10 senators in the sample are republicans (and of course, 30 - 10 = 20 democrats)?

The answer using the h-g distribution is:

$\large \frac{\binom{60}{10}\binom{100-60}{30-10}}{\binom{100}{30}}=\frac{\binom{60}{10}\binom{40}{20}}{\binom{100}{30}}$

Now, imagine there are 56 senators (56 lottery numbers), 6 are republicans (6 winning numbers and 50 losers), we extract a sample of 6 senators (the bettor selects 6 numbers). What is the probability that 4 senators are republicans? (What is the probability that 4 numbers are winners?).

As we see, the situation is exactly the same, but changing the numbers. So the answer would be

$\large \frac{\binom{6}{4}\binom{56-6}{6-4}}{\binom{56}{6}}=\frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}$

Now compute each combination separately:

$\large \binom{6}{4}=\frac{6!}{4!2!}=15\\\\\binom{50}{2}=\frac{50!}{2!48!}=1225\\\\\binom{50}{6}=\frac{50!}{6!44!}=15890700$

and now replace the values:

$\large \frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}=\frac{15*1225}{15890700}=\frac{18375}{15890700}=\frac{5}{4324}$

and that is it.

If the decimal expression is preferred then divide the fractions to get 0.001156337

6 0

2 years ago

Mai purchased a prepaid phone card for $20. Long distadnce calls cost 8 cents a minute using this card. Mai used her card only o

Leno4ka [110]

I'm not really good at math but I would like to help.

If each call is $.08, then the card can call last for 250 minutes.

The call lasted 202 minutes. Divide 16.16 by .08.

3 0

2 years ago

Read 2 more answers

The value of a machine depreciates each year by 5% of its value at the beginning of that year.If its value when new on 1st Janua

luda_lava [24]

Answer:

6460 pounds approx.

Step-by-step explanation:

Depreciation = P( 1 - r/100)^n [ n = time period, P= Principal and r= rate}

= 10,250(1-5/100)^9

= Approx. 6460 pounds

7 0

2 years ago

Help for brainliest and 10 points

Travka [436]

Answer:

-3

Step-by-step explanation:

$0.002 = 2 \times {10}^{ - 3} \\ \implies \: x = - 3$

4 0

2 years ago

The table below represents a linear function f(x) and the equation represents a function g(x):

notsponge [240]

(0,0)(1,3) = (3 - 0) / (1 - 0) = 3

slope = 3
equation for this line is y = 3x...and since u have (0,0) as a point on this line, ur y int is (0,0)

g(x) = 7x + 2...slope here is 7 and y int is (0,2)
==========================
The slope of f(x) = 3. I found this using the slope formula (y2 - y1) / (x2 - x1).
The slope of g(x) = 7. Because in y = mx + b form, the slope is in the m position.
g(x) has a steeper slope.
=========================
f(x) has a y int of (0,0)...the line cuts thru the origin.

g(x) has a y int of (0,2)...because in y = mx + b form, the y int will be in the b position.

So, g(x) has a greater y int.

3 0

3 years ago