All categories

3 years ago

Please help! The following table shows the number of feet a helicopter flies above the ground as a function if time

Mathematics

2 answers:

Mariulka [41]3 years ago

8 0

Answer: The correct option is

(D) (18,0) the time it takes for the helicopter to reach the ground.

Step-by-step explanation: Given that the table shown in the picture gives the number of feet a helicopter flies above the ground as a function of time.

We are to find and interpret the meaning of the x -interpret in this scenario.

From the table, we note that

the graph of function f(x) will pass though the points (0, 18) and (2, 16).

So, the slope of the line graph of f(x) is

$m=\dfrac{16-18}{2-0}=\dfrac{-2}{2}=-1$

Since the line passes through the point (0, 18), so its equation will be

$y-18=m(x-0)\\\\\Rightarrow y-18=-1\timesx\\\\\Rightarrow y=-x+18.$

Now, to find x-intercept, we need to substitute y = 0 in the equation of the line.

So, at y = 0, we get

$0=-x+18\\\\\Rightarrow x=18.$

Therefore, the required x-intercept is (18, 0) and is shows that the time taken by the helicopter to reach the ground is 18.

Thus, option (D) is CORRECT.

sp2606 [1]3 years ago

6 0

Answer:

18,0 the time it takes or the helicopter to reach the ground.

Step-by-step explanation:

if you look at the table, it slowly is decreasing, therefore it is going towards the ground.

You might be interested in

The daily temperatures in Fahrenheit in January for 10 selected cities are

irga5000 [103]

The set that is more variable is the daily temperature as they won't be clustered but rather spread out.

<h3>How to know the set that's more variable?</h3>

The mean of the temperature will be:

= (51 + 37 + 53 + 27 + 91 + 50 + 50 + 83 + 83 + 90)/10

= 615/10

= 61.5

The mean of the precipitation will be:

= (4.5 + 3.8 + 1.4 + 2.4 + 2.8 + 4.6 + 4.7 + 2.3 + 1.5)/10

= 28/10

= 2.8

Learn more about variables on:

brainly.com/question/2804470

#SPJ1

6 0

2 years ago

The distribution of the number of people in line at a grocery store has a mean of 3 and a variance of 9. A sample of the numbers

Airida [17]

Answer:

a) $P(\bar X >4)=P(Z>\frac{4-3}{\frac{3}{\sqrt{50}}}=2.357)$

$P(Z>2.357)=1-P(Z$

b) $P(\bar X \frac{2.5-3}{\frac{3}{\sqrt{50}}}=-1.179)$

$P(Z$

$P(2.5 < \bar X< 3.5) = P(\frac{2.5-3}{\frac{3}{\sqrt{50}}}$

$P(-1.179$ Step-by-step explanation:

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".

Part a

Let X the random variable that represent the number of people of a population, and for this case we know that:

Where $\mu=3$ and $\sigma=\sqrt{9}=3$

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by: