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3 years ago

a taxi hurries with a constant speed of 38 miles per hour. how long will it take to travel a distance of 95 miles

Mathematics

2 answers:

lisabon 2012 [21]3 years ago

7 0

Answer:

2.5 hours

you would take your total miles 95 and divide it by 38 ans it gives you 2.5

Sliva [168]3 years ago

5 0

Answer:

2.5 hours aka 2 hours and 30 minutes

Step-by-step explanation:

use unit analysis:

$95 miles * \frac{1 hour}{38 miles}=\frac{95}{38}=2.5 hours$

when you set up an equation like this, make sure you set it up so you end up with the unit you want. your question asked how long, whihc means our answer was going to be a unit of time, in this situation: hours.

so the given distance was 95, multiply that by the rate of change and make sure miles is in the denominator so that the "miles" get cancelled out and you're left with the unit of hours.

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A function f is described by f(x)=A*exp(kx)+B, where A, B and k are constants. Given f(0)=1, f(1)=2, and that the horizontal asy

s2008m [1.1K]

Answer:

k = ln (6/5)

Step-by-step explanation:

for

f(x)=A*exp(kx)+B

since f(0)=1, f(1)=2

f(0)= A*exp(k*0)+B = A+B = 1

f(1) = A*exp(k*1)+B = A*e^k + B = 2

assuming k>0 , the horizontal asymptote H of f(x) is

H= limit f(x) , when x→ (-∞)

when x→ (-∞) , limit f(x) = limit (A*exp(kx)+B) = A* limit [exp(kx)]+B* limit = A*0 + B = B

since

H= B = (-4)

then

A+B = 1 → A=1-B = 1 -(-4) = 5

then

A*e^k + B = 2

5*e^k + (-4) = 2

k = ln (6/5) ,

then our assumption is right and k = ln (6/5)

8 0

2 years ago

Two teams A and B play a series of games until one team wins three games. We assume that the games are played independently and

Olenka [21]

Answer:

The probability that the series lasts exactly four games is $3p(1-p)(p^{2} + (1 - p)^{2})$

Step-by-step explanation:

For each game, there are only two possible outcomes. Either team A wins, or team A loses. Games are played independently. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

We also need to know a small concept of independent events.

Independent events:

If two events, A and B, are independent, we have that:

$P(A \cap B) = P(A)*P(B)$

What is the probability that the series lasts exactly four games?

This happens if A wins in 4 games of B wins in 4 games.

Probability of A winning in exactly four games:

In the first two games, A must win 2 of them. Also, A must win the fourth game. So, two independent events:

Event A: A wins two of the first three games.

Event B: A wins the fourth game.

P(A):

A wins any game with probability p. 3 games, so n = 3. We have to find P(A) = P(X = 2).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(A) = P(X = 2) = C_{3,2}.p^{2}.(1-p)^{1} = 3p^{2}(1-p)$

P(B):

The probability that A wins any game is p, so P(B) = p.

Probability that A wins in 4:

A and B are independent, so:

$P(A4) = P(A)*P(B) = 3p^{2}(1-p)*p = 3p^{3}(1-p)$

Probability of B winning in exactly four games:

In the first three games, A must win one and B must win 2. The fourth game must be won by 2. So

Event A: A wins one of the first three.

Event B: B wins the fourth game.

P(A)

P(X = 1).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(A) = P(X = 1) = C_{3,1}.p^{1}.(1-p)^{2} = 3p(1-p)^{2}$

P(B)

B wins each game with probability 1 - p, do P(B) = 1 - p.

Probability that B wins in 4:

A and B are independent, so:

$P(B4) = P(A)*P(B) = 3p(1-p)^{2}*(1-p) = 3p(1-p)^{3}$

Probability that the series lasts exactly four games:

$p = P(A4) + P(B4) = 3p^{3}(1-p) + 3p(1-p)^{3} = 3p(1-p)(p^{2} + (1 - p)^{2})$

The probability that the series lasts exactly four games is $3p(1-p)(p^{2} + (1 - p)^{2})$

8 0

3 years ago

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Lynna [10]

Answer:

Hexagon

Step-by-step explanation:

It has more than 3 sides because it is more sides than a triangle and less than 5 since it has to be fewer sides than a pentagon. A hexagon has 6 sides meaning it has more sides than the pentagon.

4 0

3 years ago

Read 2 more answers

This weekend, Jerome earned $252.50 in all. What was the dollar amount of the meals that Jerome served?

belka [17]

Answer:

Is that the full question? I can't solve this unless I have the full question. I don't know how many different meals she sold.

4 0

2 years ago

Tim would like to buy a video game that costs $27. He has not saved any money. His parents are willing to pay him $3 for every 2

kati45 [8]

Tim would have to do 18 chores (2 chores 9 times or 1 chore 18 times) to be able to buy the video game.

Step-by-step explanation:

Step 1; Tim's parents will give him $3 for every two chores. This equals $1.50 for a single chore. He wants to save up $27 so that he can buy the video games he wants.

Step 2; The number of times he has to do the chores to be able to but the video game is a division between the money he wants to save up by the money he gets for the chores.

Number of 2 chores he needs to do = Amount of money he wants to save up / money he gets for doing two chores

= $27 / $3 = 9 times.

Number of single chores he has to do =Amount of money he wants to save up / money he gets for doing two chores

$27 / $1.50 = 18 times

8 0

3 years ago

a taxi hurries with a constant speed of 38 miles per hour. how long will it take to travel a distance of 95 miles​

a taxi hurries with a constant speed of 38 miles per hour. how long will it take to travel a distance of 95 miles