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2 years ago

If y is directly proportional to x squared and y = 3 when x = 2, what is y when x = 8?

Mathematics

2 answers:

Anestetic [448]2 years ago

5 0

Answer:

y = 63

Step-by-step explanation:

y is directly proportional to x²

As given,

when y = 3 => x = 2

So, 3 = 4 - 1

Which means the relation can be written as :-

y = x² - 1

Substituting x = 8

y = (8)² - 1

y = 64 - 1

y = 63

kiruha [24]2 years ago

3 0

Answer:

Y=48

Step-by-step explanation:

Y= kx^2

3= k x 2^2

3 = k x 4

÷4

3/4 = k

Y=kx^2

Y= 3/4 x 8^2

Y= 3/4 x 64

Y=48

Hope this helps!

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3 years ago

An office is divided into 12 cubicles. How many of the cubicles are carpeted if 1/3 of the cubicles are carpeted

11Alexandr11 [23.1K]

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3 years ago

If a student randomly guesses at 20 multiple-choice questions, find the probability that the student gets exactly four correct.

ad-work [718]

Answer:

Probability = 0.190

Step-by-step explanation:

Given:

Number of questions, 'n' = 20

Each question has four choices.

Let event of choosing correct answer be success and its probability be represented by 'p'.

Therefore, event of choosing wrong answer is failure and its probability be represented by 'q'.

Now, probability of success is choosing one correct answer out of 4 options. So, $p=\frac{1}{4}=0.25$

Now, 'p' and 'q' are complements of each other. Therefore,

$q=1-p=1-0.25=0.75$

Now, we need 4 successes. Therefore, $x=4$

Using Bernoulli's theorem to find 'x' successes from 'n' questions, we get:

$P(x)=_{x}^{n}\textrm{C}p^xq^{n-x}$

Plug in 4 for 'x', 20 for 'n', 0.25 for 'p' and 0.75 for 'q'. Solve.

$P(4)=_{4}^{20}\textrm{C}(0.25)^4(0.75)^{20-4}\\P(4)=_{4}^{20}\textrm{C}(0.25)^4(0.75)^{16}\\P(4)=4845\times (0.25)^4\times (0.65)^{16}\\\\P(4)=0.1896\approx0.190$

Therefore, the probability of getting 4 correct answers out of 20 questions is 0.190.

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2 years ago

PLS ANSWER URGENT

san4es73 [151]

A) The given equation has no solution. The absolute value cannot be negative, but must be -9 in order for the equation to be satisfied.

b) |x -7| = 2 . . . . . . . the equation
Solution 1:
-2 = x -7
5 = x . . . . . . add 7
Solution 2
x -7 = 2
x = 9 . . . . . . add 7

The two numbers are {5, 9}

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3 years ago

PLEASE HELP WILL GIVE BRAINLIEST AND 20 POINTS

Georgia [21]

1250 lbs of sand.

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$5 * 5 * .5 = 12.5$

So you have 12.5 cubic feet of sand. If each cubic foot of sand is 100 lbs, then you just multiply the two:

$12.5 * 100 = 1250.0

$

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3 years ago