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3 years ago

devon drives 3/4 the distance to his house in 2 1/2 hours at this speed how long will the entire trip take(can i divide)

Mathematics

1 answer:

Rama09 [41]3 years ago

6 0

Answer: Devon will complete the entire trip in 3 hours 20 minutes

Explanation:

Since we have given that

Devon drives $\frac{3}{4}$ the distance to his house in $2\frac{1}{2}$ hours,

Let the distance be x

According to question, we get

$Speed=\frac{Distance}{Time}\\\\Speed=\frac{\frac{3x}{4}}{\frac{5}{2}}\\\\Speed=\frac{6x}{20}=\frac{3x}{10}$

Now, if he want to travel the entire trip ,

Time taken by Devon is given by

$Time=\frac{Distance}{Speed}\\\\Time=\frac{x}{\frac{3x}{10}}\\\\Time=\frac{10}{3}\\\\Time=3\frac{1}{3}\times 60\\\\Time=3\ hours\ 20\ minutes$

Hence, Devon will complete the entire trip in 3 hours 20 minutes.

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In Brownsville Texas it is 80°F the temperature is expected to drop 1.5° each hour in Mesquite Texas is 94°F and the temperature

denis-greek [22]

Answer:

28 hours

Step-by-step explanation:

let the time period at which the temperature be equal in both Brownsville and Mesquite Texas be 'x'.

Given,

In Brownsville Texas, the temperature is expected to drop 1.5° each hour and In Mesquite Texas, the temperature is expected to drop 2° each hour.

Now, according to the question,

after 'x' hours,

⇒ 80° - 1.5°(x) = 94° - 2°(x)

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3 years ago

In a recent survey, 60% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find

andreev551 [17]

Answer:

Probability that exactly 5 of them favor the building of the health center is 0.0408.

Step-by-step explanation:

We are given that in a recent survey, 60% of the community favored building a health center in their neighborhood.

Also, 14 citizens are chosen.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 14 citizens

r = number of success = exactly 5

p = probability of success which in our question is % of the community

favored building a health center in their neighborhood, i.e; 60%

<em>LET X = Number of citizens who favored building of the health center.</em>

So, it means X ~ $Binom(n=14, p=0.60)$

Now, Probability that exactly 5 of them favor the building of the health center is given by = P(X = 5)

P(X = 5) = $\binom{14}{5} \times 0.60^{5} \times (1-0.60)^{14-5}$

= $2002 \times 0.60^{5} \times 0.40^{9}$

= 0.0408

Therefore, Probability that exactly 5 of them favor the building of the health center is 0.0408.

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3 years ago

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Answer:

-63

Step-by-step explanation:

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3 years ago

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ICE Princess25 [194]

Using the recursion equation, it is found that the value of the 2nd iterate is:

$x_2 = 3.16228$

<h3>What is the recursive equation?</h3>

The value of the nth iteration is given by:

$x_n = \frac{x_{n-1} + \frac{10}{x_{n-1}}}{2}$

The initial estimate is:

$x_0 = 3.1$

Hence, the 1st iterate is given by:

$x_1 = \frac{x_0 + \frac{10}{x_0}}{2} = \frac{3.1 + \frac{10}{3.1}}{2} = 3.1629$

The 2nd iterate is:

$x_2 = \frac{x_1 + \frac{10}{x_1}}{2} = \frac{3.1629 + \frac{10}{3.1629}}{2} = 3.16228$

Thus, the fourth option is correct.

You can learn more about recursive equations at brainly.com/question/6561461

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2 years ago