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3 years ago

Help me please!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

Stella [2.4K]3 years ago

4 0

Answer:

16/81

Step-by-step explanation:

(2/3)^4 = (2/3)*(2/3)*(2/3)*(2/3)

= 16/81

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) 20% of computer chips from a certain manufacturer are defective. if 100 computer chips are purchased, what is the approximate

Furkat [3]

100%. 20/100 is equivalent to 20%, and because there is a 20% chance of a chip being a defect, it is 100%

4 0

3 years ago

Find the probability of each event.

jeka57 [31]

Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

The coin is fair, hence p = 0.5.

The coin is tossed 10 times, hence n = 10.

The probability that is lands tails up at least nine times is given by:

$P(X \geq 9) = P(X = 9) + P(X = 10)$

In which:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098$

$P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.001$

Hence:

$P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0098 + 0.001 = 0.0108$

0.0108 = 1.08% probability of the coin landing tails up at least nine times.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

5 0

2 years ago

If parallelogram RSTV has diagonals then RSTV must also be a _______. square and a rectangle rhombus and a rectangle rhombus rec

andrew11 [14]

<span>a rectangle rhombus(parallelogram) since even a parallelogram has diagonals</span>

5 0

3 years ago

The angle of elevation of the top of a tree is 60°. If the point of observation is 4m from the foot of the tree. How far is the

inn [45]

Answer:

Step-by-step explanation:

x = hypotenuse since they want the point of observation to the top of the tree

cos 60 = 4/x

x = 4 / cos 60

x = 8m

7 0

4 years ago

Diego is thinking of two positive numbers. He says, 'If we triple the first number and double the second number, the sum is 34.'

UNO [17]

1st number: 0

2nd number: 17

Answer

Step-by-step explanation:

3x+2y=34 x is the first number, y is the second.

1/2x+2y=34 multiply each number by two to get rid of the integer by the variable x.

x+4y=68 solve for x.

x=68-4y add this into the first equation to solve for variable y.

3(68-4y)+2y=34 solve for y.

204-10y=34

-10y= -170

y=17

now to solve for x

x= 68-4(17)

x= 0

8 0

3 years ago