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2 years ago

Suppose a normal distribution has a mean of 62 and a standard deviation of

Mathematics

1 answer:

tankabanditka [31]2 years ago

6 0

Answer:

66.8% or 0.66772

Step-by-step explanation:

0.66772

Given that :

Mean (m) = 62

Standard deviation (s) = 4

probability that a data value is between 57 and 65

P(57 < x < 65)

Using the relation :

(x - m) / s

P(x < 57) :

(57 - 62) / 4 = - 1.25

P(Z < - 1.25) = 0.10565 ( Z probability calculator)

P(x < 65) :

(65 - 62) / 4 = 0.75

P(Z < 0.75) = 0.77337 (Z probability calculator)

P(Z < 0.75) - P(Z < - 1.25)

0.77337 - 0.10565 = 0.66772

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Katie's swim team is having an end-of-season pizza party. When the party started, there were 50 slices of pizza. Now there are 2

ss7ja [257]

Answer:

i think its c im not sure so it might be wrong im so sorry if its wrong

Step-by-step explanation:

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3 years ago

Find the radius of convergence, then determine the interval of convergence

galben [10]

The radius of convergence R is 1 and the interval of convergence is (-3, -1) for the given power series. This can be obtained by using ratio test.

<h3>Find the radius of convergence R and the interval of convergence:</h3>

Ratio test is the test that is used to find the convergence of the given power series.

First aₙ is noted and then aₙ₊₁ is noted.

For ∑ aₙ, aₙ and aₙ₊₁ is noted.

$\lim_{n \to \infty} |\frac{a_{n+1}}{a_{n} }|$ = β

If β < 1, then the series converges

If β > 1, then the series diverges

If β = 1, then the series inconclusive

Here $a_{k}$ = $\frac{(x+2)^{k}}{\sqrt{k} }$ and $a_{k+1}$ = $\frac{(x+2)^{k+1}}{\sqrt{k+1} }$

Now limit is taken,

$\lim_{n \to \infty} |\frac{a_{n+1}}{a_{n} }|$ = $\lim_{n \to \infty} |\frac{(x+2)^{k+1} }{\sqrt{k+1} }/\frac{(x+2)^{k} }{\sqrt{k} }|$

= $\lim_{n \to \infty} |\frac{(x+2)^{k+1} }{\sqrt{k+1} }\frac{\sqrt{k} }{(x+2)^{k}}|$

= $\lim_{n \to \infty} |{(x+2) } }{\sqrt{\frac{k}{k+1} } }}|$

= $|{x+2 }|\lim_{n \to \infty}}{\sqrt{\frac{k}{k+1} } }}$

= $|{x+2 }|$ < 1

- 1 < ${x+2 }$ < 1

- 1 - 2 < x < 1 - 2

- 3 < x < - 1

We get that,

interval of convergence = (-3, -1)

radius of convergence R = 1

Hence the radius of convergence R is 1 and the interval of convergence is (-3, -1) for the given power series.

Learn more about radius of convergence here:

brainly.com/question/14394994

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5 0

1 year ago

Read 2 more answers

Judy is playing a card game. She needs to select two cards below that have a sum greater

Zielflug [23.3K]

Answer:

$2\frac{2}{5} + 2\frac{5}{8} \simeq 5$

$2\frac{2}{7} + 2\frac{5}{8} \simeq 5$

Step-by-step explanation:

Mixed fraction $a\frac{b}{c}$ can be converted into like or unlike fractions.

Here, $a\frac{b}{c} = \frac{ac +b}{b}$

So, convert all the given fractions as follows:

$2\frac{2}{5} = \frac{2(5) +2}{5} = \frac{12}{5} =2.4$

$2\frac{2}{7} = \frac{2(7) +2}{7} = \frac{16}{7} =2.4$

$1\frac{7}{8} = \frac{1(8) +7}{8} = \frac{15}{8} =1.8$

$2\frac{1}{10} = \frac{2(10) + 1}{10} = \frac{21}{10} =2.1$

$2\frac{5}{8} = \frac{2(8) +5}{8} = \frac{21}{8} =2.6$

Here, No Two fractions on addition gives a sum greater than 5.

But an approximate sum of 5 is given by adding 2.4 + 2.6 = 5

⇒ $2\frac{2}{5} + 2\frac{5}{8} \simeq 5$

or ⇒ $2\frac{2}{7} + 2\frac{5}{8} \simeq 5$

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3 years ago

Rectangle measures 10 inches by 5 inches. Rectangle B is a scaled copy of Rectangle Select all of the measurement pairs that cou

Reika [66]

Answer:

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Step-by-step explanation:

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3 years ago

If a spinner is divided into 2 sections is spun 5 times, how many outcomes are possible?

Karo-lina-s [1.5K]

The final number of outcomes would end up being 10 possible outcomes because you would do five and multiply it by two. And there would be a possibility of landing on any of ten outcomes. Hope I helped reassure you of your answer :)

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3 years ago

Read 2 more answers