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3 years ago

Find the slope that passes through these two points.

Mathematics

1 answer:

barxatty [35]3 years ago

5 0

Answer:

$m = \frac{ - 1 - 4}{2 + 3} \\ m = - 1$

Good luck!

Intelligent Muslim,

From Uzbekistan.

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3 years ago

Harrison Water Sports has two retail outlets: Seattle and Portland. The Seattle store does 60 percent of the total sales in a ye

Anna11 [10]

Answer: P = 0.75

Step-by-step explanation:

Hi!

The sample space of this problems is the set of all the possible sales. It is divided in the disjoint sets:

$S_s = {\text{sales made in Seattle }}\\S_p={\text {sales made in Portland}}$

We have also the set of sales of boat accesories $S_b$ , the colored one in the image.

We are given the data:

$P(S_s) = 0.6\\P(S_b | S_s) = \frac{P(S_b\bigcap S_s)}{P(S_s)}=0.4\\P(S_b|S_p) =\frac{P(S_b\bigcap S_p)}{P(S_p)}=0.2$

From these relations you can compute the probabilities of the intersections colored in the image:

$pink\;set:\;P(S_b \bigcap S_s) =0.6*0.4=0.24\\blue\;set\;:P(S_b \bigcap S_p)=(1-0.6)*0.2 =0.08$

You are asked about the conditional probability:

$P(S_s|S_b) = \frac{P(S_s \bigcap S_b)}{P(S_b)}$

To calculate this, you need $P(S_b)$ . In the image you can see that the set $S_b$ is the union of the two disjoint pink and blue sets. Then:

$P(S_b)=P((S_b \bigcap S_s)\bigcup(S_b \bigcap S_p)) = 0.24 + 0.08 = 0.32$

Finally:

$P(S_s|S_b) = \frac{0.24}{0.32}=0.75$

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3 years ago