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Reil [10]
3 years ago
10

The sum of two numbers is 17. One number is 3 less than What is the lesser number?

Mathematics
2 answers:
frosja888 [35]3 years ago
7 0
The lesser number is 7.
Vikki [24]3 years ago
5 0

Answer:

The two numbers are 5 and 12, the lesser is <u>5.</u>

<u>5</u> is the lesser number, therefore the answer. Hope this helped! :D

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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
8x+3&gt;_x+10 how do i solve dis<br> HELP
VashaNatasha [74]

Answer:

x > 1

Step-by-step explanation:

Subtract 3 from both sides

8x + 3 - 3 > x + 10 - 3

Simplify

8x > x + 7

Subtract x from both sides

8x - x > x + 7 - x

Simplify

7x - 7

Divide both sides by 7

7x/7 > 7/7

Simplify

x > 1

5 0
3 years ago
Lauren says that -3.5 is greater than -3 1/3. Do you agree? Explain.
kirza4 [7]

Answer:

-3\frac{1}{2}

Step-by-step explanation:

-3.5 means -(3 + \frac{1}{2})

In other words, -3.5 = -3\frac{1}{2}

When we draw two numbers -3\frac{1}{3} and -3\frac{1}{2} on a number line, -3\frac{1}{2} comes first from left to right.

We know that all the numbers on a number line from left to right are in increasing order.

Therefore, -3\frac{1}{2} is smaller than -3\frac{1}{3}.

-3\frac{1}{2}

Lauren is not correct.

3 0
2 years ago
What is 39.79949748 rounded to the nearest hundredth?
Rufina [12.5K]

Answer:

Number = 39.80

Step-by-step explanation:

Given

Number = 39.79949748

Required

Approximate (to the nearest 100th)

This means that, we approximate at the second digit after the decimal.

So:

i.e,

Number = 39.79  [Begin  approximation] 949748

The first digit after [Begin approximation] is then approximated using the following rule:

0 - 4 \approx 0

5 - 9 \approx 1\\

Since 9 falls in 5 - 9 \approx 1\\ category, the number becomes:

Number = 39.[79+1]

Number = 39.80

3 0
2 years ago
Which angle is supplementary to angle # 3?
stealth61 [152]

Check the picture below.

4 0
2 years ago
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