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sleet_krkn [62]
3 years ago
8

The total travel time for the ranger to get to the car is the sum of the travel time in the forest and the travel time on the ro

ad. Write the total time T as a function of x, using the letter c for the distance from the end of the road on the left to the car.
Mathematics
1 answer:
Yuki888 [10]3 years ago
4 0

Answer:

[ext]T(x) = 2C / Speed[/ext]

Step-by-step explanation:

[ext]Time taken for the Ranger to get to the car = Sum total time taken to travel in the forest and on the road[/ext]

Since [ext]distance of the Ranger to the car = C[/ext]

[ext]Time taken = distance/speed[/ext]

[ext]Total Time taken T(x) = 2 * C / speed[/ext]

T(x) = 2C / speed

You might be interested in
. In a study of air-bag effectiveness it was found that in 821 crashes of midsize cars equipped with air bags, 46 of the crashes
jok3333 [9.3K]

Answer:

P(X ≤ 46 | X~B(821, 0.078)) = 0.00885745584

0.00885... < 0.01

The test statistic of 46 is significant

There is sufficient evidence to reject H₀ and accept H₁

Air bags are more effective as protection than safety belts

Step-by-step explanation:

821 crashes

46 hospitalisations where car has air bags

7.8% or 0.078 probability of hospitalisations in cars with automatic safety belts

α = 0.01 or 1% ← level of significance

One-tailed test

We are testing whether hospitalisations in cars with air bags are less likely than in a car with automatic safety belts;

The likelihood of hospitalisation in a car with automatic safety belts, we are told, is 7.8% or 0.078;

So we are testing if hospitalisations in cars with air bags is less than 0.078;

So, firstly:

Let X be the continuous random variable, the number of hospitalisations from a car crash with equipped air bags

X~B(821, 0.078)

Null hypothesis (H₀): p = 0.078

Alternative hypothesis (H₁): p < 0.078

According to the information, we reject H₀ if:

P(X ≤ 46 | X~B(821, 0.078)) < 0.01

To find P(X ≤ 46) or equally P(X < 47), it could be quite long-winded to do manually for this particular scenario;

If you are interested, the manual process involves using the formula for every value of x up to and including 46, i.e. x = 0, x = 1, x = 2, etc. until x = 46, the formula is:

P(X = r) = nCr * p^{r}  * (1 - p)^{n - r}

You can find binomial distribution calculators online, where you input n (i.e. the number of trials or 821 in this case), probability (i.e. 0.078) and the test statistic (i.e. 46), it does it all for you, which gives:

P(X ≤ 46 | X~B(821, 0.078)) = 0.00885745584

Now, we need to consider if the condition for rejecting H₀ is met and recognise that:

0.00885... < 0.01

There is sufficient evidence to reject H₀ and accept H₁.

To explain what this means:

The test statistic of 46 is significant according to the 1% significance level, meaning the likelihood that only 46 hospitalisations are seen in car crashes with air bags in the car as compared to the expected number in car crashes with automatic safety belts is very unlikely, less than 1%, to be simply down to chance;

In other words, there is 99%+ probability that the lower number of hospitalisations in car crashes with air bags is due to some reason, such as air bags being more effective as a protective implement than the safety belts in car crashes.

5 0
2 years ago
Dakota is saving money to buy a new ferret cage.In the the first week she saved $24 each week she saves $6 how much money will S
MissTica
$24 x 6 = 144   Minus the $6 she spent per week -$36  = $108

I guess that is what you meant when you typed "she saved $24 each week she saves $6???
3 0
3 years ago
Read 2 more answers
PLEASE HELP WITH GRAPH LAST QUESTION I NEED ​
SVETLANKA909090 [29]

Answer:

\sf g(x) = -1(x+3)^2 -2

Explanation:

\sf original \ graph:  \ y=-x^{2}

the graph is translated 3 units to the left and 2 units down.

vertex: (-3,-2) point: (-1,-6)

\sf so \ new \ graph :

\sf y = a(x-h)^2 +k

\sf -6 = a(-1-(-3))^2 -2

\sf -6 = 4a -2

\sf 4a = -4

\sf a = -1

\sf equation:

\sf y = a(x-h)^2 +k

\sf y = -1(x+3)^2 -2

6 0
2 years ago
Read 2 more answers
Jennifer is planning a holiday. The hotel costs $60 per night and her flights cost $150. She has a budget of $500 for hotel and
-BARSIC- [3]

First add 150 + 60 = 210

Second divide 500 divided by 210 = 2.3

Jennifer can stay up to 2 nights.

3 0
3 years ago
12.) What is the area of the triangle in the coordinate plane?
nirvana33 [79]

Answer:

18u most likely

Step-by-step explanation:

the triangle is 6 units wide and half of it (the height) is 6. so 6 x 6 = 36 divided by 2 = 18u

7 0
3 years ago
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