What is the nth term if the sequence 7,9,11,13,15

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:

a

The percentage is

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

b

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

So

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

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

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

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

So

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

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

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

4 years ago

3.468 in scientific notation

USPshnik [31]

Answer:

3.468 × 10^3

Step-by-step explanation:

5 0

3 years ago

A builder needed to buy thirty one boards for his latest project. if the boards he needs come in packs of four how many packages

vodka [1.7K]

Answer:

8

Step-by-step explanation:

31 divided by 4 is 7.75. you cant have 7.75 boards so youd have to round up to 8

5 0

3 years ago

I am stuck on this question pls help me.

Ann [662]

Answer:

-30 is a debt of 30$

+30 is 30 meters above sea level

+6 is 6 units to the right of 0 on the number line

-15 is 15 meters below sea level

+15 is a profit of 15$

Step-by-step explanation:

above sea level means positive(+)

below sea level means negative(-)

profit means you gained (+)

debt means to take(-)

5 0

3 years ago

I need answers for all threee plzzil. I’ll give brainliest and 23 point once you answer

BartSMP [9]

1)

3 * 6 = 18

72 - 18 = 54

54/6 = 9

The club made 9 pies to sell.

2)

19 - 3 = 16

16/2 = 8

You bought 8 candy bars.

3)

24 - 18 = 6

6/3 = 2

He spent $2 on each pencil.

7 0

4 years ago

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What is the nth term if the sequence 7,9,11,13,15​

What is the nth term if the sequence 7,9,11,13,15