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Ede4ka [16]
3 years ago
10

6^6??????? please help meeeee

Mathematics
1 answer:
Alisiya [41]3 years ago
5 0

Answer:

46656.

Step-by-step explanation:

6^6 = 6*6*6*6*6*6

= 46656.

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Thirty percent (30%) of the bulbs in a large box are defective. If 12 bulbs are selected randomly from the box, calculate the pr
AleksandrR [38]

The probability that exactly 6 are defective is 0.0792.

Given:

30% of the bulbs in a large box are defective.

If 12 bulbs are selected randomly from the box.

To find:

The probability that exactly 6 are defective.​

Solution:

Probability of defective bulbs is:

p=30\%

p=\dfrac{30}{100}

p=0.3

Probability of non-defective bulbs is:

q=1-p

q=1-0.3

q=0.7

The probability that exactly 6 are defective is:

P(x=r)=^nC_rp^rq^{n-r}

P(x=6)=^{12}C_6(0.3)^6(0.7)^{12-6}

P(x=6)=924(0.3)^6(0.7)^{6}

P(x=6)=0.0792478958

P(x=6)\approx 0.0792

Therefore, the probability that exactly 6 are defective is 0.0792.

Learn more:

brainly.com/question/12917164

8 0
3 years ago
The probability of a certain brand of battery going dead within 15 hours is. Noah has atoy that requires 4 of these batteries. H
Delicious77 [7]

Question:

The probability of a certain brand of battery going dead within 15 hours is 1/3. Noah has a toy that requires 4 of these batteries. He wants to estimate the probability that at least one battery will die before 15 hours are up.1.Noah will simulate the situation by putting marbles in a bag. Drawing one marble from the bag will represent the outcome of one of the batteries in the toy after 15 hours. Red marbles represent a battery that dies before 15 hours are up, and green marbles represent a battery that lasts longer.How many marbles of each color should he put in the bag? Explain your reasoning.

Answer:

The number of marbles of each color that should be present in the bag is;

1 red marble and 2 green marbles

Step-by-step explanation:

Here, we note that the probability of a battery going dead = 1/3 and the

Therefore if the red marbles represent that a battery dies before 15 hours then the probability of picking the red marble should be 1/3. That is if there is only one red marble in the bag, the probability of picking the red will be 1/3 when there are other 2 green batteries in the bag

That is there should be 1 red marble and 2 green marble in the bag.

4 0
3 years ago
Determine two coterminal angles in degree measure (one positive and one negative) for each angle. (There are many correct answer
Nat2105 [25]

Answer:

(a) Coterminal =495, -225

(b) Coterminal = 135,-585

Step-by-step explanation:

The angles are:

(a) 135°  (b) −225°

The coterminal angle of angle x is derived by:

Coterminal = x \± 360

Solving (a): 135°

Substitute 135 for x in Coterminal = x \± 360

Coterminal =135 \± 360

Split

Coterminal =135 + 360, 135 - 360

Coterminal =495, -225

Solving (b): -225°

Substitute -225 for x in Coterminal = x \± 360

Coterminal =-225 \± 360

Split

Coterminal = -225 + 360,-225 - 360

Coterminal = 135,-585

7 0
3 years ago
4. If you invested $10,000 at 3.8% compounded hourly for five years, what would be your
Virty [35]

Step-by-step explanation:

The final balance is $12,088.87.

The total compound interest is $2,088.87.

4 0
3 years ago
2. f is a differentiable function on the interval [0, 1] and g(x) = f(3x). The table below gives values of f '(x). What is the v
Nataliya [291]
Chain rule:

g(x)=f(3x)\implies g'(x)=3f'(3x)

so

g'(0.1)=3f'(0.3)=3(3)=9
8 0
3 years ago
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