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sattari [20]
1 year ago
8

jonathan ran 5 days this week. the most he ran in one day was 3.5 miles. write an inequality that shows the distance jonathan co

uld have run any day this week
Mathematics
1 answer:
poizon [28]1 year ago
4 0
Let m represent the number of miles this guy runs in a day.
He runs every day, so the minimum number of miles has to be greater than 0.
According to the problem statement, the max number of miles is 3.5 miles or less.

Translate this into a (symbolic) inequality.
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The solution to the given system of linear equations lies in which quadrant?
Rina8888 [55]
X-3y=6
x+y=2
this is an substitution problem
so first you can do is rewrite the problem by subjection one variable
x=3y+6
then substitute this in the other proble
x+y=2
(3y+6)+y=2
4y+6=2
4y=2-6
4y=-4
y=-1
then substitute the no. in the original equation. 
x=3y+6
x=3(-1)+6
x=-3+6
x=3
now you got the intercepts and you draw the line and check.
it's in the IV quadrant
5 0
2 years ago
Read 2 more answers
An insurance company sells an auto insurance policy that covers losses incurred by a policyholder, subject to a deductible of 10
Marrrta [24]

Answer:

Option E - 1000

Step-by-step explanation:

Let X stand for actual losses incurred.

Given that X follows an exponential distribution with mean 300,

To find the 95-th percentile of all claims that exceed 100.

In other words,

0.95 = Pr (100 < x < p95 ) / P(X > 100)

        = Fx( P95) − Fx(100 ) / 1− Fx (100)

, where Fx is the cumulative distribution function of X

since,  Fx(x) = 1 - e^ (-x/300)

0.95 = 1 - e^ (-P95/300) - [ 1 - e^ ( -100/300) ] / 1 -  [ 1 - e^ ( -100/300) ]

         = e^ ( -1/3 ) - e^ ( - P95//300) / e^(-1/3)

           = 1 - e^1/3 e^ (-P95/300)

The solution is given by , e^ ( - P95/300) = 0.05e^(-1/3)

P95 = -300 ln ( 0.05e^(-1/3) )

       = 999

       = 1000

8 0
2 years ago
Lionel is planning a one-day outing.
pychu [463]

Answer:

Option B - y=5x+40 and  y=3x+60

Step-by-step explanation:

Given : The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride, x. The Splash water park charges an entry fee of $60 and an additional $3 per ride, x.

To find : Which system of equations could be used to determine the solution where the cost per ride of the two amusement parks, y, is the same?

Solution :

Let x be the number of rides and

y be the cost per ride.

According to question,

The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride.

The equation form is y=40+5x

The Splash water park charges an entry fee of $60 and an additional $3 per ride.

The equation form is y=60+3x

Therefore, The required system of equations form are

y=5x+40 and  y=3x+60

So,Option B is correct.

6 0
2 years ago
Read 2 more answers
At noon (12:00), Annette rented a bicycle to travel around Stanley Park. She returned the bicycle at 4:00 pm (16:00) the same da
Doss [256]

Answer:

a. average speed is 12km/hr

b. $5.50 dollars per hour

c. $0.46 per km

Step-by-step explanation:

a. 48km/4hrs = 12km/hr

b. $22/4hrs = $5.50/hr

c. $22/48km = $0.45833/km rounded to $0.46/km

6 0
2 years ago
What percent of 20 is 30
Temka [501]
   30 x ( 20 / 100 )
= 30 x ( 1 / 5 )
= 30 / 5
= 6

Thank you very much.
3 0
2 years ago
Read 2 more answers
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