Find <img src="https://tex.z-dn.net/?f=cos%5E%7B-1%7D%283pi%2F4%29" id="TexFormula1" title="cos^{-1}(3pi/4)" alt="cos^{-1}(3pi/4

Which one is greater?<br> 4 yd or 144 in.

ozzi

Answer:

144 inches is 4 yards

Step-by-step explanation:

3 0

3 years ago

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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:

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

3 years ago

FI have no points left please answer, FLIP THE IMAGE OVER PLS

Nezavi [6.7K]

Answer:

Step-by-step explanation:

b. 1000 messages: 30 dollars

1,725 messages: 51.75

c. 2,000

2,500

600

b. 37.5

I cant do the rest because they have graph stuff :)

8 0

3 years ago

In a survey of 150 students at Kennedy Middle School, 48% said

BigorU [14]

Answer:

660 people

Step-by-step explanation:

48% people prefer thick pizza

1 375 people x 48% = 660

6 0

2 years ago

The probability of winning a raffle is 2/5. What is the probability of not winning the raffle?

Karo-lina-s [1.5K]

Answer:

3/5

Step-by-step explanation:

the probability of winning + probability of not winning must = 1

these are the only 2 options

2/5 + not winning = 1

subtract 2/5 from each side

not winning = 5/5-2/5

not winning = 3/5

5 0

3 years ago

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