All categories

1 year ago

What is the median of the 19 numbersplotted in the line plot below?

Mathematics

1 answer:

mars1129 [50]1 year ago

5 0

Recall that the median of a set of numbers is the number in the middle of the set, after the numbers have been rearranged from lowest to highest.

From the plot, we get that the number, arranged from lowest to highest are:

$40,40,40,40,40,41,41,41,42,42,43,43,43,43,44,44,44,45,45.$

The number in the middle of the above set is:

$42.$

Therefore the median of the given numbers is:

$42.$

Answer: 42.

You might be interested in

Which two square roots are used to estimate the square root of 67

viva [34]

$\bf \boxed{\sqrt{64}}\rule[0.35em]{10em}{0.25pt}\sqrt{67}\rule[0.35em]{19em}{0.25pt}\boxed{\sqrt{81}}$

5 0

3 years ago

-9 + 3x = 9 Please Answer Correctly

muminat

Answer:

x=6

Step-by-step explanation:

Hope this helps if you so please mark me Brainliest I would greatly appreciate it. Peace and Love

7 0

3 years ago

Read 2 more answers

The point (1, −1) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of

Lilit [14]

Check the picture below.

$\bf (\stackrel{a}{1}~,~\stackrel{b}{-1})\qquad \impliedby \textit{let's find the hypotenuse} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c = \sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{1^2+(-1)^2}\implies c=\sqrt{2} \\\\[-0.35em] ~\dotfill$

$\bf sin(\theta ) \implies \cfrac{\stackrel{opposite}{-1}}{\stackrel{hypotenuse}{\sqrt{2}}}\implies \cfrac{-1}{\sqrt{2}}\cdot \cfrac{\sqrt{2}}{\sqrt{2}}\implies -\cfrac{\sqrt{2}}{(\sqrt{2})^2}\implies -\cfrac{\sqrt{2}}{2}$

$\bf cos(\theta ) \implies \cfrac{\stackrel{adjacent}{1}}{\stackrel{hypotenuse}{\sqrt{2}}}\implies \cfrac{1}{\sqrt{2}}\cdot \cfrac{\sqrt{2}}{\sqrt{2}}\implies \cfrac{\sqrt{2}}{(\sqrt{2})^2}\implies \cfrac{\sqrt{2}}{2} \\\\\\ tan(\theta ) = \cfrac{\stackrel{opposite}{-1}}{\stackrel{adjacent}{1}}\implies tan(\theta ) = -1$

7 0

3 years ago

Read 2 more answers

What is the equation of the axis of symmetry of the graph of y + 3x – 6 = –3(x – 2)2 + 4?

never [62]

Axis of symmetry = -b/2a
y + 3x - 6 = -3(x-2)² + 4
y + 3x - 6 = -3 ( x²-4x+4) + 4
y + 3x - 6 = -3x² + 12x -12 + 4
y + 3x - 6 = -3x² + 12x -8
y = -3x² + 12x - 3x -8 + 6
y = -3x² + 9x -2
(a=-3, b=9, c=-2)
Axis of symmetry = -b/2a = -9/2(-3) = -9 / -6 = -3 / -2 = 3/2
Hence, option A) x=3/2 is the correct answer.

4 0

3 years ago

The arrival of the city busses that trundle down my street is Poisson distributed. According to the published schedule, they arr

joja [24]

Answer:

There is a 3.33% probability that exactly two such busses arrive within 3 minutes of each other.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

What is the probability that exactly two such busses arrive within 3 minutes of each other

The mean is one bus each 10 minutes. So for 3 minutes, the mean is 3/10 = 0.3 buses. So we use $\mu = 0.3$

This probability is P(X = 2).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 2) = \frac{e^{-0.3}*(0.3)^{2}}{(2)!} = 0.0333$

There is a 3.33% probability that exactly two such busses arrive within 3 minutes of each other.

5 0

3 years ago