All categories

4 years ago

A drone has an initial velocity of 38m/s. Five seconds later it reaches a velocity

Mathematics

1 answer:

timofeeve [1]4 years ago

7 0

Answer:

The acceleration of the drone is 2.6 m/s²

Step-by-step explanation:

The acceleration is the rate at which the speed changes over time, therefore to solve this question we must divide the change of speed by the elapsed time in order to find the accelaration of the drone in that period. We have:

a = (Vf - Vi)/dt

Where a is the acceleration, Vf is the final velocity, Vi is the initial velocity and dt is the elapsed time. We have:

a = (51 - 38)/5 = 2.6 m/s²

You might be interested in

Help ASAP!!

Ray Of Light [21]

The answer is C.
In t=2.33p, the constant is 2.33 and it stands for "<span>The tomatoes cost $2.33 per pound"</span>

8 0

4 years ago

Read 2 more answers

The density curve represents the time, in hours, that

defon

Answer:

In the picture below

Step-by-step explanation:

5 0

3 years ago

A teacher gives a test to a large group of students. The results are closely approximated by a normal curve. Teh mean is 73, wit

zavuch27 [327]

Answer:

The bottom for an A is 75. Round to the nearest whole number as needed.

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Let X the random variable that represent the scores on this case, and for this case we know the distribution for X is given by:

$X \sim N(\mu=73,\sigma=7)$

And let $\bar X$ represent the sample mean, the distribution for the sample mean is given by:

$\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})$

2) The bottom for an A is _____. Round to the nearest whole number as needed.

And we want the top 5.5% of the scores, so we need a value a such that:

$P(X>a)=0.055$ or $P(X$

We need on the right tail of the distribution a value a that gives to us 94.5% of the area below and 5.5% of the area above. Both conditions are equivalent.

Let's use the condition $P(X$ , the best way to solve this problem is using the z score with the following formula:

$z=\frac{x-\mu}{\sigma}$

So we need a value from the normal standard distribution that accumulates 0.945 of the area on the left and 0.055 on the right. This value on this case is 1.598 and we can founded with the following code in excel:

"=NORM.INV(0.945,0,1)"

If we apply the z score formula to our case we have this:

$P(X$

So then based on the equalities we have this:

$\frac{a-73}{7}=1.598$

And if we solve for a we got:

$a=(7*1.598) +73=84.186$

So then we need a score of 84.186 rounded to the nearest whole number 75 or higher in order to get an A

8 0

3 years ago

Solve for q. √3q + 2 = √5

34kurt

Answer:

$q = 0.0186$

Step-by-step explanation:

To solve for q, we initially place everything with the term q to one side of the equality, and everything without the term q to the other side of the equality.

$\sqrt{3q} + 2 = \sqrt{5}$