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Hoochie [10]
3 years ago
8

HELP PLSSSS I DONT UNDERSTAND WALLAH

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
7 0

Answer:

7.2

Step-by-step explanation:

Distance between (4, 3) and (8, 9):

d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

d = \sqrt{(8 - 4)^2 + (9 - 3)^2}

d = \sqrt{(4)^2 + (6)^2}

d = \sqrt{16 + 36}

d = \sqrt{52} = 7.2 (nearest tenth)

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Equivalent to 4^7•4^-5
nekit [7.7K]

Answer:

<h2>16</h2>

Step-by-step explanation:

\text{Use}\ a^n\cdot a^m=a^{n+m}\\\\4^7\cdot4^{-5}=4^{7+(-5)}=4^{7-5}=4^2=4\cdot4=16

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3 years ago
14/15 minus 1/3 as a fraction in simplest form
eduard

First step: Create a common denominator with 1/3

1/3 x 5/5 = 5/15

Second step: Subtract

14/15

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a: 9/15

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3 years ago
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Define z_alpha to be a z-score with an area of alpha to the right. For Example: z_0.10 means P(Z &gt; 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)"

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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)"

"=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)"

"=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)"

"=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

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Answer:

see below

Step-by-step explanation:

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