Simplify (4−b)(5b2+5b−4)

Find the square root of the following decimal numbers.

Softa [21]

Answer:

Answer is in picture

Step-by-step explanation:

Hope it is helpful.......

5 0

3 years ago

Read 2 more answers

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

4 years ago

Mrs. diaz makes 5 dozen cookies for her class. one ninth of her 27 students are absent the day she brings the cookies. if she sh

saw5 [17]

Each student gets 2.5 cookies.
We know that there are 24 students there and 60 cookies, (since one ninth of 27 is 3 so 3 students are not there, and 24 are, and that 5 dozen is another way to write 60) we need to divide 60 by 24 which is 2.5.

6 0

3 years ago

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Little Red Riding Hood falls asleep in the forest, 5km away from her grandmother’s house. The next morning, she walks toward her

Ratling [72]

Answer:

2 hours

Step-by-step explanation:

If she was 5km away and is now 2km away she walked 3 km. To walk 3 km at 1.5 km/h you have to divide 3km by 1.5km to get 2 hours

7 0

3 years ago

What the property of m>DEF=m

kozerog [31]

Answer:

m>DEF=m

Step-by-step explanation:

3 0

4 years ago