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3 years ago

Slope review

Mathematics

1 answer:

Phantasy [73]3 years ago

7 0

<h2>Answer:</h2>

To find slope, we must use the slope formula*.

$m = \frac{2 - 0.5}{2 - (-2.5)} = \frac{1.5}{4.5}$

The slope is 1.5/4.5.

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What is the discriminant of 3x^2+6x=2

IgorC [24]

$ax^2+bx+c=0\\\\the\ discriminant:\Delta=b^2-4ac\\============================\\\\3x^2+6x=2\ \ \ \ \ |subtract\ 2\ from\ both\ sides\\\\3x^2+6x-2=0\\\\a=3;\ b=6;\ c=-2\\\\\Delta=6^2-4\cdot3\cdot(-2)=36+24=\boxed{60}\leftarrow answer$

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3 years ago

How many solutions does the equation - 8x + 5 = - 8x + 4 have

KiRa [710]

$- 8x + 5 = - 8x + 4 \\ - 8x = - 8x + 4 - 5 \\ - 8x = - 8x - 1 \\ 0 = - 1(false)$

we don't have solutions !!

3 0

3 years ago

What’s the correct answer for this?

erastovalidia [21]

Answer:

8/17

Step-by-step explanation:

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4 years ago

Evaluate the radical. 125−−−√3 Enter your answer in the box.

Ray Of Light [21]

The answer should be 5.

5 0

3 years ago

Read 2 more answers

A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes

Pavel [41]

Answer:

0.818

Step-by-step explanation:

Since the shipment has a ton of aspirin tablets, we can assume that we pick 13 of them with reposition, because the probability shoudn't change dramatically from the probability of picking without reposition if we do so.

We call D the amount of defective tablets. If we assume that we pick the tablets with reposition, then we obtain that D is a random variable of Binomial distribution with parameters 13 and 0.6 (the probability of picking a defective tablet).

We want D to be at most one. To calculate the probability of that event we add up the probability of D being equal to 0 and the probability of D being equal to one. Since D is binomial, we have

$P(D = 0) = (1-0.06)^{13} = 0.447$
$P(D = 1) = {13 \choose 1} * 0.06^1 * (1-0.06)^{12} = 13*0.06*0.94^{12} = 0.371$

We conclude that

$P(D \leq 1) = P(D = 0) + P(D = 1) = 0.447+0.371 = 0.818$

Hence, the shipment will be accepted with probability 0.818

I hope this helps you!

6 0

3 years ago