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Solve the following compound inequality: x is greater than or equal to 2 or x is less than 2

Troyanec [42]

9514 1404 393

Answer:

x is any real number

Step-by-step explanation:

Think about it. Any number is either less than 2, equal to 2, or greater than 2.

The solution set is <em>all real numbers</em>.

6 0

2 years ago

A tuple is immutable. What does that mean?

Fantom [35]

Answer:

A tuple cannot be changed once it is created.

Step-by-step explanation:

4 0

2 years ago

The amount of time it takes Renee to go grocery shopping is continuous and uniformly distributed between 18.5 minutes and 40.5 m

balandron [24]

Answer:

47.73% probability that it takes Renee at most 29 minutes to go grocery shopping

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

Uniformly distributed between 18.5 minutes and 40.5 minutes.

This means that $a = 18.5, b = 40.5$

What is the probability that it takes Renee at most 29 minutes to go grocery shopping

$P(X \leq 29) = \frac{29 - 18.5}{40.5 - 18.5} = 0.4773$

47.73% probability that it takes Renee at most 29 minutes to go grocery shopping

3 0

2 years ago

Can you write a equivalence arrow between these two statements? A triangle is rectangular and straight. The triangles angles are

a_sh-v [17]

Answer:

45-90-45 is the answer i am sure

Step-by-step explanation:

pls follow me

6 0

3 years ago

What is the perimeter of the trapezoid with vertices Q(8, 8), R(14, 16), S(20, 16), and T(22, 8)? Round to the nearest hundredth

EleoNora [17]

Check the picture below.

so... you can pretty much see how long RS and QT are, you can just count the units off the grid.

now, let's find QR's length

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&Q&(~ 8 &,& 8~) 
% (c,d)
&R&(~ 14 &,& 16~)
\end{array}~~ 
% distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
QR=\sqrt{(14-8)^2+(16-8)^2}\implies QR=\sqrt{6^2+8^2}
\\\\\\
QR=\sqrt{36+64}\implies QR=\sqrt{100}\implies QR=10$

and let's also find the length for ST

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&S&(~ 20 &,& 16~) 
% (c,d)
&T&(~ 22 &,& 8~)
\end{array}~ 
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
ST=\sqrt{(22-20)^2+(8-16)^2}\implies ST=\sqrt{2^2+(-8)^2}
\\\\\\
ST=\sqrt{4+64}\implies ST=\sqrt{68}\implies ST=\sqrt{4\cdot 17}
\\\\\\
ST=\sqrt{2^2\cdot 17}\implies ST=2\sqrt{17}$

so, add the lengths of all sides, and that's the perimeter of the trapezoid.

8 0

3 years ago

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