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Ronch [10]
3 years ago
14

Rani rai sold two typewriters at Rs 1980 each . if the gained 10% in one and lost 10% in other ' find the gain or loss percentag

e she made.​
Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
8 0

Answer:

sorry to hear about this friends and respective people and teachers who are in a position

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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 > 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)"

"=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)"

"=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

6 0
3 years ago
A trapezoid has four sides with two sides that are the same length. Let the two sides have length x. The longest side has a leng
Oduvanchick [21]

Answer:

fx21

Step-by-step explanation:

5 0
3 years ago
How do you solve this problem?
Eduardwww [97]
\bf \displaystyle \int \left( 4+\cfrac{5}{t}+\cfrac{10}{t^2} \right)dt\\\\&#10;-----------------------------\\\\&#10;\displaystyle \int 4 \cdot  dt+5\int \cfrac{1}{t}\cdot  dt+10\int t^{-2}\cdot  dt&#10;\implies &#10;4t+5ln|t|-\cfrac{10}{t}+C
3 0
3 years ago
Which Value Is The Eighth Term In The Sequence? <br><br> A. -3125<br> B. -125<br> C. -625
statuscvo [17]

Answer:

C

Step-by-step explanation:

Substitute n = 8 into the explicit rule

a_{8} = - \frac{1}{125} × 5^{7}

                        = - \frac{1}{5^{3} } × 5^{7}

                       = - 5^{4} = - 625 → C

6 0
3 years ago
For the following exercises, evaluate the expressions, given functions f, g, and h:
sertanlavr [38]

Answer:

- 16

Step-by-step explanation:

Evaluate f(2) by substituting x = 2 into f(x) , that is

f(2) = 3(2) - 3 = 6 - 3 = 3

Evaluate g(- 1) by substituting x = - 1 into g(x) , that is

g(- 1) = 8 - (- 1)² = 8 - 1 = 7

Thus

4f(2) - 4g(- 1)

= 4(3) - 4(7)

= 12 - 28

= - 16

7 0
3 years ago
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