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4 years ago

What is the volume of the rectangular prism

Mathematics

1 answer:

maria [59]4 years ago

6 0

Answer:

$\frac{23}{3}$ cubic units

Step-by-step explanation:

To find the volume, we can multiply the base by the height. $\frac{4}{3}$ * $\frac{23}{4}$ is $\frac{92}{12}$ , or $\frac{23}{3}$ . So the volume is $\frac{23}{3}$ cubic units.

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Plz help fast will mark the brainiest!!!

Kobotan [32]

Answer:

1.5 x 10^0

Step-by-step explanation:

3 0

3 years ago

The measured dimensions of a rectangle are 7m by 4m to the nearest whole unit. Find the minimum and maximum possible areas of th

Monica [59]

Answer:

Maximum area = Minimum area = 28 m².

Step-by-step explanation:

The length and the width of the rectangle are measured to be 7 m and 4 m respectively to the nearest whole number.

We have to find the maximum and minimum possible areas of the rectangle.

The maximum or minimum area is calculated only when length or width or both can vary and then only for a certain value of length and width the area becomes maximum or minimum.

So, the maximum and minimum area of the rectangle will be the same i.e. (7 × 4) = 28 m². (Answer)

3 0

3 years ago

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

4 years ago

Round 1.6 to the nearest tenths and 1.64 to the nearest hundredths what was the original number?

Law Incorporation [45]

1.6 is the nearest 10th because the 6 is a tenth .0. and 1.64 to the nearest hundredths would be 1.6 so the original number is 1.6<span />

7 0

4 years ago

Solve the equation. 20 = y + 8

Elden [556K]

Answer:

y=12

Step-by-step explanation: what you would do is subtract 8 from 20 and you would get 12. You wouldn't have to do anything else due to the fact that the y is now alone

I hope you have/had an amazing day today<3

5 0

3 years ago

Read 2 more answers