For the standard normal curve, find the z-score that corresponds to the 30th percentile. -0.47 -0.98 -0.53 -0.12

1 answer:

7 0

We are looking for the Zo score that corresponds to the 30th percentile.
We use the table for the standard normal distribution.
From P (Z <Zo) = 0.3 we search for Zo.
Then we look in the table for the value of Zo that corresponds to 0.3.
Hence, the approximate value is -0.53.
The option is the third

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Answer the question with explanation;

PSYCHO15rus [73]

Answer:

The statement in the question is wrong. The series actually diverges.

Step-by-step explanation:

We compute

$\lim_{n\to\infty}\frac{n^2}{(n+1)^2}=\lim_{n\to\infty}\left(\frac{n^2}{n^2+2n+1}\cdot\frac{1/n^2}{1/n^2}\right)=\lim_{n\to\infty}\frac1{1+2/n+1/n^2}=\frac1{1+0+0}=1\ne0$

Therefore, by the series divergence test, the series $\sum_{n=1}^\infty\frac{n^2}{(n+1)^2}$ diverges.

EDIT: To VectorFundament120, if $(x_n)_{n\in\mathbb N}$ is a sequence, both $\lim x_n$ and $\lim_{n\to\infty}x_n$ are common notation for its limit. The former is not wrong but I have switched to the latter if that helps.

7 0

3 years ago

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Hiking up a mountain, you notice that the air temperature drops 10 degrees every 1000 meters increase in elevation. Write a mult

Elina [12.6K]

decrease in temperature if you hike up the mountain 3000 meters is $-30$ ° .

Step-by-step explanation:

Here we have , Hiking up a mountain, you notice that the air temperature drops 10 degrees every 1000 meters increase in elevation . We need to find Write a multiplication expression to represent the decrease in temperature if you hike up the mountain 3000 meters. Let's find out:

For every 1000 meters rise in elevation , there is decrease in 10° of temperature . So , For rise in n meters in elevation , there is decrease in n×10° of temperature i.e

Decrease in temperature = (n/1000)×(-10) i.e.

⇒ (n/1000)×(-10)

⇒ $\frac{n}{1000}(-10)$