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3 years ago

10

What is an equivalent expression to 14x^2 + 4y^3 - 3x^2 - 5 + 2y^3

1 answer:

katovenus [111]3 years ago

7 0

Answer:

It’s C :)

Step-by-step explanation:

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Suppose that 50% of the watches produced by a certain factory are defective. A store buys a box with 400 watches produced by thi

tiny-mole [99]

Answer:

$(a)\ P(x \ge 215)$

$(b)\ P(x \ge 214.5) = 0.07353$

Step-by-step explanation:

Given

$p = 0.50$ ---- proportion of watches with defects

$n = 400$ --- Number of watches

Solving (a): Represent at least 215 of 400 are defective

In inequalities, at least means: $\ge$

So, the probability is represented as: $P(x \ge 215)$

Solving (b): Calculate $P(x \ge 215)$

Normal or Poisson: Normal distribution is characterized by 2 parameters $\mu$ and $\sigma$ .

These two parameters can be easily calculated from the given parameters in the question. So, we solve using normal distribution

Start by calculating the mean

$\mu =np$

$\mu = 0.50 * 400$

$\mu = 200$

Calculate standard deviation

$\sigma = \sqrt{\mu (1 - p)$

$\sigma = \sqrt{200 * (1 - 0.50)$

$\sigma = \sqrt{200 * 0.50$

$\sigma = \sqrt{100$

$\sigma = 10$

By continuity correction, we have:

$x \to x - 0.5$

$x \to 215 - 0.5$

$x \to 214.5$

So, we have:

$P(x \ge 215) = P(x \ge 214.5)$

Calculating $P(x \ge 214.5)$ , we have:

$P(x \ge 214.5) = 1 - P(x < z)$

Calculate z score

$z = \frac{x - \mu}{\sigma}$

$z = \frac{214.5 - 200}{10}$

$z = \frac{14.5}{10}$

$z = 1.45$

So, we have:

$P(x \ge 214.5) = 1 - P(x < 1.45)$

Using the z score probability table, we have:

$P(x < 1.45) = 0.92647$

So, we have:

$P(x \ge 214.5) = 1 - 0.92647$

$P(x \ge 214.5) = 0.07353$

4 0

3 years ago

What method would be best to use 53=4(x-3)^2-11

Veronika [31]

Answer:

x = 7 , -1

Step-by-step explanation:

<u>SOLUTION :-</u>

$4(x-3)^2-11 = 53$

Add 11 to both the sides.

$=> 4(x-3)^2-11+11=53+11$

$=> 4(x-3)^2 = 64$

Divide both the sides by 4.

$=> \frac{4(x-3)^2}{4} = \frac{64}{4}$

$=> (x-3)^2 = 16$

Root square both the sides.

$=> \sqrt{(x-3)^2} = \sqrt{16}$

$=> x-3 = +4 \; or -4$

Here , x will have two values -

1) $x-3 = 4$

$=> x = 4 + 3 = 7$

2) $x - 3 = -4$

$=> x = -4 + 3 = -1$

<u>VERIFICATION :-</u>

When x = 7 ,

$4(x-3)^2 - 11 = 4(7 - 3)^2 - 11$

$= 4 \times 4^2 - 11$

$= 4 \times 16 - 11$

$= 64 - 11$

$= 53$

When x = -1 ,

$4(x-3)^2 - 11 = 4(-1 - 3)^2 - 11$

$= 4 \times (-4)^2 - 11$

$= 4 \times 16 - 11$

$= 64 - 11$

$= 53$

7 0

3 years ago

HELP, which function has the least change

const2013 [10]

Answer:

44,39,87,48,09,74,20,09,57,19,85

4 0

3 years ago

Lara’s photo album will hold 5 pictures on each page. She wants to fill all 43 pages with vacation photos. How many photos will

GalinKa [24]

Answer:

The answer is that Lara would need 9 pages to store all her photos.

Step-by-step explanation:

You would need to first divided 43 divided by 5 to get 8.6.

However, you can't have a tenth of a page so you would have to round to 9 so the answer is that Lara would need 9 pages to store all her photos.

3 0

3 years ago

Please answer! Answer choices are: A, B, C

xeze [42]

Answer:

A

Step-by-step explanation:

7 0

3 years ago