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Sphinxa [80]
3 years ago
14

How do you Expand log Equations? Help Me . ASAP

Mathematics
1 answer:
maw [93]3 years ago
5 0

look on yt or a web called purple math i would post but that is against the rules.

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According to a​ survey, 60 ​% of the residents of a city oppose a downtown casino. Of these 60 ​% about 8 out of 10 strongly opp
katrin [286]

Answer:

(a) 0.48

(b) 0.20

(c) it is not unusual for a radomly selected resident to oppose the casino and strongly oppose the​ casino.

Step-by-step explanation:

​(a) Find the probability that a randomly selected resident opposes the casino and strongly opposes the casino. ​

The probability that a radomly selected resident opposes the casino and strongly opposes the cassino is the product of the two probabilities, that a resident opposes the casino and that it strongly opposes the casino (once it is in the first group) as it is shown below.

Use this notation:

  • Probability that a radomly selected resident opposes the casino: P(A)

  • Probability that a resident who opposes the casino strongly opposes it: P(B/A), because it is the probability of event B given the event A

i) Determine the <em>probability that a radomly selected resident opposes the casino</em>, P(A)

Probability = number of favorable outcomes / number of possible outcomes

  • P(A) is <em>given as 60%</em>, which in decimal form is 0.60

ii) Next, determine,the <em>probability that a resident who opposes the casino strongly opposes it</em>, P(B/A):

  • It is given as 8 out of 10 ⇒ P(B/A) = 8/10

iii) You want the probability of both events, which is the joint probability or  intersection: P(A∩B).

So, you can use the definition of conditional probability:

  • P(B/A) = P(A∩B) / P(A)

iv) From which you can solve for P(A∩B)

  • P(A∩B) = P(B/A)×P(A) =  (8/10)×(0.60) = 0.48

(b) Find the probability that a randomly selected resident who opposes the casino does not strongly oppose the casino.

In this case, you just want the complement of the probability that <em>a radomly selected resident who opposes the casino does strongly oppose the casino</em>, which is 1 - P(B/A) = 1 - 8/10 = 1 - 0.8 = 0.2.

​(c) Would it be unusual for a randomly selected resident to oppose the casino and strongly oppose the​ casino?

You are being asked about the joint probability (PA∩B), which you found in the part (a) and it is 0.48.

That is almost 0.50 or half of the population, so you conclude it is not unusual for a radomly selected resident to oppose the casino and strongly oppose the​ casino.

8 0
3 years ago
Sylvie bought 13 bagels and a container of cream cheese.Each bagel cost the same price.The cream cheese cost $2.95.Sylvie spent
Taya2010 [7]
Ok, first set this up as an equation with your given variables. You know that Sylvie bought 1 container of cream cheese, which is $2.95, and you know that Sylvie spent $7.50 <u>(my best assumption is this is the subtotal)</u><u /> on the cream cheese and 13 bagels. As an equation, it would come out as:

7.50=2.95+13(b)

To start solving the algebraic equation, wou can subtract 2.95 on both sides, resulting as 

4.55=13 (b)

Now, to get "b" by itself, you must divide 13 on both sides, resulting as

.35=b

This will answer your question as the cost of 1 bagel would be $0.35 per bagel.
5 0
3 years ago
Read 2 more answers
This is Algebra 1 functions and I'm struggling with this one function-
Kitty [74]

Answer:

38

Step-by-step explanation:

f(-9) is the value of f(x) when x = -9. Therefore, f(-9) = 4 from the graph. Doing the same with g(6), we can see that g(6) = 6. Our expression becomes:

-1 * 4 + 7 * 6

= -4 + 42

= 38

7 0
3 years ago
What are the x-intercepts ?
NeTakaya

Answer:

(3,0),(2,0)

Step-by-step explanation:

6 0
3 years ago
Arrange the following set of decimal numbers.
shtirl [24]

Answer:

<h3>1. 3.98 , 6.134 , 8.015</h3><h3>2. 0.541 , 0.521 , 0.314</h3><h3>3. 19.006 , 19.06 , 19.6</h3><h3>4. 0.7134 , 7.134 , 714.4</h3><h3>5. 590.817 , 5,190.18 , 509.107</h3>

Step-by-step explanation:

I HOPE IT HELPS :)

8 0
2 years ago
Read 2 more answers
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