What is the sum of 3 consecutive odd numbers is 69 what is the third number in the sequence

Daniel is making a cube using blocks. The cube is solid and has no holes.

cestrela7 [59]

Its d 729 because on 1 layer theres are 81 cubes and there are 9 layers so 81 times 9 equals 729

Hope this helps

4 0

3 years ago

Define z_alpha to be a z-score with an area of alpha to the right. For Example: z_0.10 means P(Z > z_0.10) = 0.10. We would a

Reptile [31]

Answer:

a) P(-z_0.025 < Z < z_0.025)

For this case we want a quantile that accumulates 0.025 of the area on the tails of the normal standard distribution, and for this case we can calculate the z value with the following excel codes:

"=NORM.INV(0.025,0,1)"

And for this case the two values are : $z_{crit}= \pm 1.96$

b) P(-z_{\alpha/2} < Z < z_{\alpha/2})

For this case we want a quantile that accumulates $\alpha/2$ of the area on the tails of the normal standard distribution, and for this case we can calculate the z value with the following excel codes:

"=NORM.INV(alpha/2,0,1)"

c) For this case we want to find a value of z that satisfy:

P(Z > z_alpha) = 0.05.

And we can use the following excel code:

"=NORM.INV(0.95,0,1)"

And we got $z_{\alpha/2}=1.64$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Part a

P(-z_0.025 < Z < z_0.025)

For this case we want a quantile that accumulates 0.025 of the area on the tails of the normal standard distribution, and for this case we can calculate the z value with the following excel codes:

"=NORM.INV(0.025,0,1)"

And for this case the two values are : $z_{crit}= \pm 1.96$

Part b

P(-z_{\alpha/2} < Z < z_{\alpha/2})

For this case we want a quantile that accumulates $\alpha/2$ of the area on the tails of the normal standard distribution, and for this case we can calculate the z value with the following excel codes:

"=NORM.INV(alpha/2,0,1)"

Part c

For this case we want to find a value of z that satisfy:

P(Z > z_alpha) = 0.05.

And we can use the following excel code:

"=NORM.INV(0.95,0,1)"

And we got $z_{\alpha/2}=1.64$

6 0

3 years ago

Find the value of given expression<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B8100%7D%20" id="TexFormula1" title=" \s

Doss [256]

Answer:

90 is the answers for the question

6 0

3 years ago

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PLZ HELP

docker41 [41]

Answer:

61

Step-by-step explanation:

$a_{1}=5\\a_{n}=2a_{n-1}+3\\a_{2}=2*5+3=13\\a_{3}=2*13+3=29\\a_{4}=2*29+3=61$

3 0

3 years ago

Two sides of a triangle have lengths 6 and 17. Which expression describes the length of the third side?

VashaNatasha [74]

The answer is D which is greater than 11 and less than 23.
<span>Sum of 2 sides of triangle is always greater than the third side. And absolute difference of 2 sides of a triangle is always less than the 3rd side. From that, 3rd side ia less than 6+17 = 23 and greater than 17-6=11.</span>

7 0

3 years ago

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