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2 years ago

Which pair shows equivalent expressions?

Mathematics

1 answer:

steposvetlana [31]2 years ago

6 0

Answer:

Step-by-step explanation:

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If the average yield of cucumber acre is 800 kg, with a variance 1600 kg, and that the amount of the cucumber follows the normal

lorasvet [3.4K]

Answer:

The percentage is

$P(x_1 < X < x_2 ) = 51.1 \%$

The probability is $P(Z > 2.5 ) = 0.0062097$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 800$

The variance is $var(x) = 1600 \ kg$

The range consider is $x_1 = 778 \ kg \ x_2 = 834 \ kg$

The value consider in second question is $x = 900 \ kg$

Generally the standard deviation is mathematically represented as

$\sigma = \sqrt{var (x)}$

substituting value

$\sigma = \sqrt{1600}$

$\sigma = 40$

The percentage of a cucumber give the crop amount between 778 and 834 kg is mathematically represented as

$P(x_1 < X < x_2 ) = P( \frac{x_1 - \mu }{\sigma} < \frac{X - \mu }{ \sigma } < \frac{x_2 - \mu }{\sigma } )$

Generally $\frac{X - \mu }{ \sigma } = Z (standardized \ value \ of \ X)$

$P(x_1 < X < x_2 ) = P( \frac{778 - 800 }{40} < Z< \frac{834 - 800 }{40 } )$

$P(x_1 < X < x_2 ) = P(z_2 < 0.85) - P(z_1 < -0.55)$

From the z-table the value for $P(z_1 < 0.85) = 0.80234$

and $P(z_1 < -0.55) = 0.29116$

$P(x_1 < X < x_2 ) = 0.80234 - 0.29116$

$P(x_1 < X < x_2 ) = 0.51118$

The percentage is

$P(x_1 < X < x_2 ) = 51.1 \%$

The probability of cucumber give the crop exceed 900 kg is mathematically represented as

$P(X > x ) = P(\frac{X - \mu }{\sigma } > \frac{x - \mu }{\sigma } )$

substituting values

$P(X > x ) = P( \frac{X - \mu }{\sigma } >\frac{900 - 800 }{40 } )$

$P(X > x ) = P(Z >2.5 )$

From the z-table the value for $P(Z > 2.5 ) = 0.0062097$

7 0

3 years ago

Please help I really don’t know what to do

just olya [345]

Answer:

The answer is 0

Step-by-step explanation:

2 * 2 * 2 = 8

8 * 0.5 = 4

4 - 4 = 0

0 / 2 = 0

Make sure the 0.5 is actually 0.5, because it is hard to tell in that expression. if anything, anything, the steps are the same and all you would need to do is the change the numbers.

Hope this helps :)

7 0

3 years ago

Select the correct answer

White raven [17]

Answer:

Step-by-step explanation:

5 0

3 years ago

-4 - 3= Please help if you know the answer please explane??

Doss [256]

Answer:

-7

Step-by-step explanation:

there is nothing to explain but anyways

-4 - 3 = -7

8 0

3 years ago

Read 2 more answers

7 divided into $50.40

PolarNik [594]

Answer:

0.138repeating

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers