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Ksivusya [100]
3 years ago
12

A hiker follows a trail to the top of a mountain. The trail is 15 miles long. She hikes at a rate of 2.5 mph. Which sketch repre

sents that situation?
(Won’t let me take image so here’s this.)

A. Miles remaining - (0,2.5)
Hours - (15,0)

B. Miles remaining - (0,6)
Hours - (15,0)

C. Miles remaining - (0,15)
Hours - (2.5,0)
Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
4 0
15 miles/2.5 mph=15/2.5=6 hours left

so 6 hours, 15 miles which is option D
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Two less than 3/2 of a number (x) is more than 5 1/2
garik1379 [7]

Answer:

3/2x-2>5 1/2

Step-by-step explanation:

Two less than a number means we are subtracting 2, so we can write it into the equation as -2.

Since we dont know the value of x, we can just write 3/2 of x by multiplying 3/2 by x. So 3/2x. Also, since we are subtracting two from 3/2x, -2 comes after 3/2x.

Now, since it says that it is more than 5 1/2, we could use the greater than sign (>), to express that. So >5  1/2

Our final expression is 3/2x-2>5 1/2.

Hope this helps!

3 0
3 years ago
Determine whether the given value is a solution of the equation. 36 = k 6 ; k = 6 6 a solution of 36 = k 6 .
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Answer:

Yes: the variable K would equal "6"

Step-by-step explanation:

After you set you equation up, you have to isolate the given variable. To do that you have to do the recipriocal (6k-multiplying) which would be division. You would divide k = 36 ÷ 6 . that isolates the variable ,which you would then solve. k = 6 .

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A writer earned $7 per hour at her job plus an additional $50 in tips on Friday. She earned more than $99 total. Write and solve
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7h + 50 > 99

Step-by-step explanation:

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2 years ago
A Martian couple has children until they have 2 males (sexes of children are independent). Compute the expected number of childr
Ne4ueva [31]

Answer:

a) 6

b) 4

c) 3

Step-by-step explanation:

Let p be the probability of having a female Martian, and of course, 1-p the probability of having a male Martian.

To compute the expected total number of trials before 2 males are born, imagine an experiment simulating the fact that 2 males are born is performed n times.

Let ak be the number of trials performed until 2 males are born in experiment k. That is,

a1= number of trials performed until 2 males are born in experiment 1

a2= number of trials performed until 2 males are born in experiment 2

and so on.

If a1 + a2 + … + an = N

we would expect Np females.  

Since the experiment was performed n times, there 2n males (recall that the experiment stops when 2 males are born).

So we would expect 2n = N(1-p), or

N/n = 2/(1-p)

But N/n is the average number of trials per experiment, that is, the expectation.

<em>We have then that the expected number of trials before 2 males are born is 2/(1-p) where p is the probability of having a female. </em>

a)

Here we have the probability of having a male is half as likely as females. So

1-p = p/2 hence p=2/3

The expected number of trials would be

2/(1-2/3) = 2/(1/3) =6

This means <em>the couple would have 6 children</em>: 4 females (the first 4 trials) and 2 males (the last 2 trials).

b)

Here the probability of having a female = probability of having a male = 1/2

The expected number of trials would be

2/(1/2) = 4

This means<em> the couple would have 4 children</em>: 2 females (the first 2 trials) and 2 males (the last 2 trials).

c)

Here, 1-p = 2p so p=1/3

The expected number of trials would be

2/(1-1/3) = 2/(2/3) = 6/2 =3

This means<em> the couple would have 3 children</em>: 1 female (the first trial) and 2 males (the last 2 trials).

5 0
3 years ago
Given a vector with the initial point, (4,2) and the terminal point, (-3,1), find the vector in unit vector form.
Gwar [14]

Answer:

Wish i can help but i don't understand that

Step-by-step explanation:

7 0
3 years ago
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