All categories

2 years ago

Travis will complete a 60-mile trip in _____ hours?

Mathematics

1 answer:

Natasha2012 [34]2 years ago

5 0

Answer: 2.5 hours is the answer

Step-by-step explanation:

It took Travis 2.5 hours to complete 3/4 of his trip. To find the average speed, we need to find his speed during 3/4 of the trip and then the 52.5 miles.

So you know that 52.5 is 1/4 of his total trip. That means if we multiply that by 3, that's how many miles he traveled in 2.5hrs. (157.5)

To calculate speed, divide distance by time.

For 3/4 of his trip (157.5), it took him 2.5 hours.

157.5/2.5 = 63mph

For the remaining 52.5 miles, it took him an hour.

52.5/1 = 52.5mph

Now average those two speeds to get the average speed for the whole trip.

(63+52.5)/2= 57.6mph

You might be interested in

The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall sem

wariber [46]

Answer:

In order to calculate the expected value we can use the following formula:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And if we use the values obtained we got:

$E(X)=(1060*0.5) +(1400*0.1) +(1620*0.4)=1318$

Step-by-step explanation:

Let X the random variable that represent the number of admisions at the universit, and we have this probability distribution given:

X 1060 1400 1620

P(X) 0.5 0.1 0.4

In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".

The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).

And the standard deviation of a random variable X is just the square root of the variance.

In order to calculate the expected value we can use the following formula:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And if we use the values obtained we got:

$E(X)=(1060*0.5) +(1400*0.1) +(1620*0.4)=1318$

3 0

2 years ago

Evaluate the dot product a⃗ ⋅b⃗ of a⃗ =3i^−8j^ and b⃗ =−2i^−6j^.

Mkey [24]

The "dot product" of two vectors has several different formulas.

Since you are given the x- and y-coordinates of both vectors a and b, we can apply the formula

a dot b = ax*bx + ay*by, where ax=x-component of vector a, by=y comp of vector b, and so on.

So, for the problem at hand, ax * bx + ay * by becomes

3(-2) + (-8)(-6) = -6 + 48 = 42 (answer). Note that the dot product (or "scalar product" is itself a scalar.

4 0

3 years ago

if you are in school for 178 days for 6 hours and 40 minutes how many hours and minutes would you be in school over all

GREYUIT [131]

Answer:

1139.2 hours

Step-by-step explanation:

6.40 x 178 = 1139.2

4 0

2 years ago

Read 2 more answers

PUT THESE NUMBERS FROM LEAST TO GREATEST

Anton [14]

Answer:

70,000

2.5 million

12 million

20.8 million

29.3 million

53.5 million

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

As part of a drug trial, a survey was done to gather information about the participants' experiences with side effects. Here are

Paraphin [41]

The Venn diagram which represents the distribution of the participant in the drug trial is attached below. The Number of participants in the drug trial that has anxiety is 370

We can find the number of participants who has dizziness(D). Fatigue(F) and anxiety(A) can be calculated thus :

n(D) = n(D only) + (DnF only) + (DnA only) + (DnAnF)

271 = 36 + 86 + 23 + x

271 = 145 + x

x = 271 - 145

x = 126

n(DnAnF) = 126

Number who has atleast one of the three side effects can be expressed thus :

n(A only) + n(F only) + n(D only) + (DnF only) + (DnA only) + (DnAnF) + n(FnA only) = 585

36 + 23 + 62 + 86 + 126 + 93 + n(FnA) only = 585

n(FnA only) = 585 - 426 = 159

Number of participants who has anxiety can be calculated thus :

n(DnAnF) + (DnA only) + n(FnA only) + n(A only)

126 + 23 + 159 + 62 = 370 participants

Therefore, 370 of the total participants has Anxiety.

Learn more : brainly.com/question/12570490

8 0

2 years ago