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3 years ago

Write each expanded form as a decimal. (5×10)+2+9×1/10+6×(1/100)+3×(1/1000

Mathematics

1 answer:

Reika [66]3 years ago

5 0

Answer:

52.963

Step-by-step explanation:

Simply evaluate the expression. If you can't do it in your head, you can ask a calculator to do it.

(5×10)+2+9×1/10+6×(1/100)+3×(1/1000) = 50 + 2 + 9/10 + 6/100 + 3/1000

... = 50 + 2 + 0.9 + 0.06 + 0.003

.. = 52.963

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Step-by-step explanation:

Q= 13/cos41

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3 years ago

Please help solve <br><br> -2x - 4 - 7 = - 3x - 15

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Answer:

x = -4

Step-by-step explanation:

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3 years ago

All of the following are equivalent to 2(2 a+ b) + 8 except __________

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2 * (2a + b) + 8 = 4a + 2b + 8
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A. =
B. =
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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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4 years ago