Before 1918, approximately 40% of the wolves in a region were male, and 60% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 60% of wolves in the region are male, and 40% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. (Round your answers to three decimal places.) (a) Before 1918, in a random sample of 10 wolves spotted in the region, what is the probability that 7 or more were male

Answers

Answer 1

Answer:

P(≥ 7 males) = 0.0548

Step-by-step explanation:

This is a binomial probability distribution problem.

We are told that Before 1918;

P(male) = 40% = 0.4

P(female) = 60% = 0.6

n = 10

Thus;probability that 7 or more were male is;

P(≥ 7 males) = P(7) + P(8) + P(9) + P(10)

Now, binomial probability formula is;

P(x) = [n!/((n - x)! × x!)] × p^(x) × q^(n - x)

Now, p = 0.4 and q = 0.6.

Also, n = 10

Thus;

P(7) = [10!/((10 - 7)! × 7!)] × 0.4^(7) × 0.6^(10 - 7)

P(7) = 0.0425

P(8) = [10!/((10 - 8)! × 8!)] × 0.4^(8) × 0.6^(10 - 8)

P(8) = 0.0106

P(9) = [10!/((10 - 9)! × 9!)] × 0.4^(9) × 0.6^(10 - 9)

P(9) = 0.0016

P(10) = [10!/((10 - 10)! × 10!)] × 0.4^(10) × 0.6^(10 - 10)

P(10) = 0.0001

Thus;

P(≥ 7 males) = 0.0425 + 0.0106 + 0.0016 + 0.0001 = 0.0548


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Answer:

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Step-by-step explanation:

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Answer:

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5(x-6)+3x=.75(2x-8)

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By switching service providers , a family's telephone bill decreased from about $ 50 a month to about 44 . What was the percent decrease ?

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Answer:

12% decrease

Step-by-step explanation:

50 - 44 = 6

6/50 = 0.12 or 12% decrease

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Answers

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Answer:

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Step-by-step explanation:

Look at the ratio of y to x. To see if its a proportional relationship, just put a 0 for x and then proceed to solve for y.

Answer
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Answer:

The symbol stands for an unknown number, the symbol y stands for an unknown number and the symbol 2 stands for a known number, two. In algebra when two symbols that stand for a number are placed beside each other the operation between them is taken to be multiplication.

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Tamara has $30,000, part or all of which she wants to invest into a combination of corporate bonds and municipal bonds. She wants to invest no less than $8,000 into corporate bonds, and at least three times as much into corporate bonds than into municipal bonds. Let x be the amount invested in corporate bonds, and let y be the amount invested in municipal bonds. Which system of inequalities describes Tamara’s investment options?

Answers

Answer:

The system of inequalities describes Tamara’s investment options are as follows:

[tex]8000\leq x[/tex]

[tex]3y\leq x[/tex]

Step-by-step explanation:

Total amount with Tamara = $30,000

Let [tex]x[/tex] be the amount invested in corporate bonds, and let [tex]y[/tex] be the amount invested in municipal bonds.

She wants to invest no less than $8,000 into corporate bonds.

So, the inequality is [tex]8000\leq x[/tex]    

Also, she wants to invest at least three times as much into corporate bonds than into municipal bonds.

[tex]3y\leq x[/tex]    

The system of inequalities describes Tamara’s investment options are as follows:

[tex]8000\leq x[/tex]

[tex]3y\leq x[/tex]

It is well-known that in Hanover in the Spring, it is either sunny or rainy every day, and the probability that the weather one day is the same as the weather the previous day is 2/3. Suppose it was sunny on May 1st and May 10th. What is the probability that it was sunny on May 3rd

Answers

Answer:

0.44

Step-by-step explanation:

May 1st was a sunny day. May 10th was a sunny day. The date closest to May 3rd is May 1st so analysis can start from there.

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Answer:

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Answer:

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Answer: What Proportion Of These Motors Will Last Somewhere Between 8 And 11 Years? 2. What's The Probability That A Randomly Selected Motor Will Last More

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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civil engineers

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Answers

Answer:

See below

Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

5 (x + 2) + 2x
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Step-by-step explanation:

use distributive property on 5(x+2)

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Step-by-step explanation:

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Answers

9514 1404 393

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The only equation satisfied by the given point is also in standard form:

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Find the time when the bacteria count reaches 500.

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hours

Answers

Answer:

Step-by-step explanation:

Given

N(t) = 29t²-115t+52

T(t) = 6t+1.5

To get the composite function N(T(t)), we will follow the steps

N(T(t)) = N(6t+1.5)

To get N(6t+1.5), we will replace t in N(t) with 6t+1.5 as shown:

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Factorize

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Hence the time reached when the bacteria was 500 hours is 0.81hours

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Answers

Answer: A. 4

Im in high school this is simple math so. Your welcome
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Answers

Answer:

2x² - 2x - 12

(x-3)(2x + 4)

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2x² - 2x - 12 Step-by-step explanation:

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Answer:

4n+11

Step-by-step explanation:

-2n+6n=4n

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Answer:

4n+11

Step-by-step explanation:

Move the variables together

-2n+6n+11

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