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Firlakuza [10]
3 years ago
12

Find the slope of the pair of points. (-8, -1) (-18, 2)

Mathematics
2 answers:
KATRIN_1 [288]3 years ago
3 0

Answer:

slope= -3/10

Step-by-step explanation:

Change in y/Change in x

-1-2/-8--18

-1-2=-3

-8+18=10

=-3/10

Alecsey [184]3 years ago
3 0

Hello!

Step-by-step explanation:

<h2><em><u>Lesson: Exploring Slope/Slope-intercept form.</u></em></h2>

Slope-intercept form: y=mx+b

m: slope

b: y-intercept.

Rise/run

\frac{rise}{run}

Slope formula: \frac{Y^2-Y^1}{X^2-X^1}

m=\frac{2-(-1)=2+1=3}{(-18)-(-8)=(-18)+8=-10}=\frac{3}{-10}=-\frac{3}{10}

Answer: \frac{3}{-10}

Slope is 3.

Y-intercept is -10 or 10.

Hope this helps!

-Charlie

Thanks!

-Have a great day!

:)

:D

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As the word suggests, a quarter-sphere is a quarter of a sphere, and thus the volume of a quarter-sphere is a quarter of the volume of the sphere.

The volume of a sphere is computed as

\dfrac{4}{3} \pi r^3

So, the volume of a quarter-sphere is

\dfrac{1}{4}\cdot \dfrac{4}{3} \pi r^3 = \dfrac{1}{3} \pi r^3

7 0
3 years ago
Solve the inequality.<br> 4x + 3 &lt; 7 or 3x – 8 &gt; 7<br> -<br> x &lt; [?] or x &gt; [
ss7ja [257]

Answer:

4x + 3 < 7 \\ 4x + 3 - 3 < 7 - 3 \\ 4x < 4 \ \\ 4x \div 4 < 4 \div 4 \\ x < 1

3x - 8 > 7 \\ 3x - 8 + 8 > 7 + 8 \\ 3x > 15 \\ 3x \div 3 > 15 \div 3 \\ x > 5

6 0
3 years ago
You have been hired as the quality control office of a pharmaceutical company that manufactures aspirin tablets. According to th
Firlakuza [10]

Answer:

P(X=0)=(24C0)(0.04)^0 (1-0.04)^{24-0}=0.375413  

P(X=1)=(24C1)(0.04)^1 (1-0.04)^{24-1}=0.  

So then the probability that the batch would be accepeted is:

0.375413+0.375413=0.7508

Step-by-step explanation:

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=24, p=0.04)

On this case p=0.04 represent the probability that a random the tablet would be NOT accepted

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

They accept the batch if there is only one or no tablet that doesn’t meet the test specification, so let's find the individual probabilities for this case:

P(X=0)=(24C0)(0.04)^0 (1-0.04)^{24-0}=0.375413  

P(X=1)=(24C1)(0.04)^1 (1-0.04)^{24-1}=0.  

So then the probability that the batch would be accepeted is:

0.375413+0.375413=0.7508

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Answer:

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Step-by-step explanation:

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