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AleksAgata [21]

2 years ago

5

delilah studies the wolf population of a nearby national park. She has calculated that the population decreased by 1.25% per yea

r over the past 10 years. If a recent census estimates 300 wolves currently in the park, how many would be left in the park 5 years from now? A) 282 B) 201 C)267 D)295

2 answers:

KATRIN_1 [288]2 years ago

8 0

Step-by-step explanation:

i need time

i hope u may understand

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ikadub [295]2 years ago

8 0

Answer:

282!!!!

Step-by-step explanation:

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A survey found that 73% of adults have a landline at their residence (event A); 83% have a cell phone (event B). It is known tha

4vir4ik [10]

Answer:

3. What is the probability that an adult selected at random has both a landline and a cell phone?

A. 0.58

4. Given an adult has a cell phone, what is the probability he does not have a landline?

C. 0.3012

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that an adult has a landline at his residence.

B is the probability that an adult has a cell phone.

C is the probability that a mean is neither of those.

We have that:

$A = a + (A \cap B)$

In which a is the probability that an adult has a landline but not a cell phone and $A \cap B$ is the probability that an adult has both of these things.

By the same logic, we have that:

$B = b + (A \cap B)$

The sum of all the subsets is 1:

$a + b + (A \cap B) + C = 1$

2% of adults have neither a cell phone nor a landline.

This means that $C = 0.02$ .

73% of adults have a landline at their residence (event A); 83% have a cell phone (event B)

So $A = 0.73, B = 0.83$ .

What is the probability that an adult selected at random has both a landline and a cell phone?

This is $A \cap B$ .

We have that $A = 0.73$ . So

$A = a + (A \cap B)$

$a = 0.73 - (A \cap B)$

By the same logic, we have that:

$b = 0.83 - (A \cap B)$ .

So

$a + b + (A \cap B) + C = 1$

$0.73 - (A \cap B) + 0.83 - (A \cap B) + (A \cap B) + 0.02 = 1$

$(A \cap B) = 0.75 + 0.83 - 1 = 0.58$

So the answer for question 3 is A.

4. Given an adult has a cell phone, what is the probability he does not have a landline?

83% of the adults have a cellphone.

We have that

$b = B - (A \cap B) = 0.83 - 0.58 = 0.25$

25% of those do not have a landline.

So $P = \frac{0.25}{0.83} = 0.3012$

The answer for question 4 is C.

4 0

2 years ago

What value for c will make the expression a perfect square trinomial? x2 – 7x + c negative StartFraction 49 Over 4 EndFraction n

puteri [66]

Answer: $c=\frac{49}{4}$

Step-by-step explanation:

You can find the value of "c" that will make it a perfect square trinomial by Completing the square.

Given the following expression provided in the exercise:

$x^2 - 7x + c$

You can notice that it is written in this form:

$ax^2-bx+c$

Then, you can identify that the coefficient "b" is:

$b=-7$

Since to complete the square you must add and subtract the half of square of coefficient "b", you can conclude that:

$c=(\frac{b}{2})^2$

Therefore, substituting "b" into $c=(\frac{b}{2})^2$ , you get:

$c=(\frac{-7}{2})^2\\\\c=\frac{49}{4}$

6 0

2 years ago

Read 2 more answers

Jordan wrote the following description: Three fewer than one four of x is 12. write an equation to represent the description.

tigry1 [53]

The correct way to write this equation is .25x-3=12. The .25 is interchangeable with $\frac{1}{4}$

8 0

2 years ago

Read 2 more answers

Each year a town holds a winter carnival this year 40% of the attendees were children under the age of 10 if 304 children under

tatuchka [14]

Answer:

760 attendees

Step-by-step explanation:

40% of the attendees is 304. That means you can add 304 to 304 (304 x 2) to get 608. To get the last 20%, divide 304 by 2, because 40(%) divided by 2 is 20(%). The answer to that is 152. Now, add it all up. 608 + 152 = 760.

In conclusion, there were 760 attendees at the carnival.

4 0

2 years ago

A runner increases his velocity from 0 m/s to 20 m/s in 2.0s. What was his average acceleration?

xenn [34]

change in velocity = 20 - 0 = 20

change in time = 2 seconds

Divide the change in velocity over the change in time: 20/2 = 10

The average acceleration is 10 m/s^2

I.e, each second, the speed increases by 10 m/s

7 0

2 years ago