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2 years ago

It is known that y^24 − 256 = 0. Rewrite this equation in terms of x if x = y^4.

Mathematics

2 answers:

vladimir2022 [97]2 years ago

6 0

Answer and step-by-step explanation:

> y²⁴- 256 = 0
> (y⁴)
x ${}^{6}$ -256 = 0

x ${}^{6}$ = 256

qaws [65]2 years ago

5 0

Answer:

> y²⁴- 256 = 0

> (y⁴)

x{}^{6}6 -256 = 0

x{}^{6}6 = 256

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Jane must get at least three of the four problems on the exam correct to get an A. She has been able to do 80% of the problems o

NISA [10]

Answer:

a) There is n 81.92% probability that she gets an A.

b) If she gets the first problem correct, there is an 89.6% probability that she gets an A.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the answer is correct, or it is not. This means that we can solve this problem using binomial distribution probability concepts.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

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

And $\pi$ is the probability of X happening.

For this problem, we have that:

The probability she gets any problem correct is 0.8, so $\pi = 0.8$ .

(a) What is the probability she gets an A?

There are four problems, so $n = 4$

Jane must get at least three of the four problems on the exam correct to get an A.

So, we need to find $P(X \geq 3)$

$P(X \geq 3) = P(X = 3) + P(X = 4)$

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

$P(X = 3) = C_{4,3}.(0.80)^{3}.(0.2)^{1} = 0.4096$

$P(X = 4) = C_{4,4}.(0.80)^{4}.(0.2)^{0} = 0.4096$

$P(X \geq 3) = P(X = 3) + P(X = 4) = 2*0.4096 = 0.8192$

There is n 81.92% probability that she gets an A.

(b) If she gets the first problem correct, what is the probability she gets an A?

Now, there are only 3 problems left, so $n = 3$

To get an A, she must get at least 2 of them right, since one(the first one) she has already got it correct.

So, we need to find $P(X \geq 2)$

$P(X \geq 3) = P(X = 2) + P(X = 3)$

$P(X = 2) = C_{3,2}.(0.80)^{2}.(0.2)^{1} = 0.384$

$P(X = 4) = C_{3,3}.(0.80)^{3}.(0.2)^{0} = 0.512$

$P(X \geq 3) = P(X = 2) + P(X = 3) = 0.384 + 0.512 = 0.896$

If she gets the first problem correct, there is an 89.6% probability that she gets an A.

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3 years ago

Lian is deciding which of two gyms to join. Each gym charges a monthly rate plus a one-time membership fee. Lian correctly wrote

lapo4ka [179]

The resulting equation 75 = 75 is an identity; this tells that the two equations of the system are equivalent, this is they both represent the same function. So, Lian can conclude that (option c) both gyms charge the same monthly rate and the same membership fee<span>.</span>

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3 years ago

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21 cans of tomato paste of the same size have weight of 7300 grams. What is the weight of 5 cans.

vesna_86 [32]

Answer:

answer is 347.6

Step-by-step explanation:

21/7300= 347.6

7 0

2 years ago

Turn 0.68 into a fraction in simplest form

sattari [20]

Since .68 is 68/100, you can simplify to 17/25.

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2 years ago

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Adele Swam the length of the pool in 32.56 seconds. Alexandria swam the length of the pool in 29.4 seconds. How many seconds fas

Sati [7]

Answer

Find out how many seconds faster has Alexandria's time then Adele's time .

To proof

Let us assume that seconds faster has Alexandria's time then Adele's time be x.

As given in the question

Adele Swam the length of the pool in 32.56 seconds. Alexandria swam the length of the pool in 29.4 seconds.

Than the equation becomes

x = 32.56 - 29.4

x = 3.16 seconds

Therefore the 3.16 seconds faster has Alexandria's time then Adele's time .

Hence proved

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3 years ago

It is known that y^24 − 256 = 0. Rewrite this equation in terms of x if x = y^4.​

It is known that y^24 − 256 = 0. Rewrite this equation in terms of x if x = y^4.