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Dmitry_Shevchenko [17]

3 years ago

15

Complete the comparison : 17>?

1 answer:

sveticcg [70]3 years ago

4 0

Your ans is 1
please tell me if this is correct.

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Solve the compound inequality, showing your work. Name the solution set and then draw the graph of the solution set.y-2<-5 or

Ede4ka [16]

$y - 2 \ \textless \ -5$
$y \ \textless \ -5 + 2$
$y \ \textless \ -3$

and

$y - 2 \ \textgreater \ 5$
$y \ \textgreater \ 5 + 2$
$y \ \textgreater \ 7$

The value of y is greater than 7 and less than -3
The number line is shown below

8 0

4 years ago

How many cubes with a side length of 1/2 units will completely fill the prism

ValentinkaMS [17]

To answer the question, the units of the prism would have to be stated. Other wise the answer would never be found.

5 0

3 years ago

Because of Theorem 5.47 any function that is continuous on (0, 1) but unbounded cannot be uniformly continuous there. Give an ex

almond37 [142]

Answer:

$f: (0,1) \to \mathbb{R}$

$f(x) = \sin(1/x)$

Step-by-step explanation:

<u>f is continuous</u> because is the composition of two continuous functions:

$g(x) = \sin(x)$ (it is continuous in the real numbers)

$h(x) = 1/x$ (it is continuous in the domain (0,1))

<u>It is bounded</u> because $-1 \leq \sin(\theta) \leq 1$

<u>And it is not uniformly continuous</u> because we can take $\varepsilon = 1$ in the definition. Let $\delta > 0$ we will prove that there exist a pair $x,y\in \mathbb{R}$ such that $|x-y|< \delta$ and $|f(x) -f(y)|> \varepsilon = 1$ .

Now, by the archimedean property we know that there exists a natural number N such that

$\frac{1}{N} < 2\pi \delta$

$\Rightarrow \frac{1}{2\pi N} < \delta$ .

Let's take $x = \frac{1}{2\pi N + \pi/2}$ and $y = \frac{1}{2\pi N + 3\pi/2}$ . We can see that

$|x-y| = \frac{1}{2\pi N + \pi/2}-\frac{1}{2\pi N + 3\pi/2}$

And also:

$|f(x)- f(y)| = |f(2\pi N + \pi/2) - f(2\pi N + 3\pi/2)| = |1 - (-1)| = 2 > \varepsilon$

And we conclude the proof.

8 0

3 years ago

Suppose a normal distribution has a mean of 266 and a standard deviation of

Jet001 [13]

Answer:

P(x>278) is 0.16

Step-by-step explanation:

We are given that a normal distribution has a mean of 266 and a standard deviation of 12.

Mean = $\mu =266$

Standard deviation = $\sigma = 12$

We are supposed to find P(x > 278)

So, Formula : $Z=\frac{x-\mu}{\sigma}$

$Z=\frac{278-266}{12}$

Z=1

Refer the z table for p value

p value = 0.8413

P(x<278) is 0.84

P(x>278)=1-P(x<278)=1-0.84=0.16

Option A is true

Hence P(x>278) is 0.16

3 0

4 years ago

Shawns mobile home is 7.2 meters wide and 19.5 meters long. What is the area

lora16 [44]

Area= 19.5× 7.2= 140.40 or 140.4

3 0

3 years ago

Read 2 more answers