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2 years ago

Describe the dimensions of two different prisms that each have a volume is 2,400 cubic centimeters

1 answer:

3 0

One prism with a volume of 2400 might have a rectangular base with a length of 4 and a width of 5, as well as a height of 120.

V = l x w x h
V = 4 x 5 x 120
V = 2400

This prism would essentially look like a really tall rectangle, since the height is such a large number. I wouldn't accurately represent the units on graph paper, if I were you. Just label the sides with the numbers I gave you.

Another prism with a volume of 2400 might be a rectangular prism with a length of 8, a width of 10, and a height of 30.

V = l x w x h
V= 8 x 10 x 30
V = 2400

This would also be a tall rectangle, although it isn't as tall. Keep in mind that l x w x h is only the volume formula for a rectangular prism. I only used rectangular prisms because they would be the easiest for this example. A triangular prism has a different volume formula.

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Need help with questions 32-33

velikii [3]

The answer for 32 is 6 and the answer for 33 is -3

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2 years ago

Read 2 more answers

Which graph shows the solution to the inequality -x + 2 > 1

Darya [45]

-x+2 > 1
-x+2+x > 1+x .... add x to both sides
2 > 1+x
x+1 < 2
x+1-1 < 2-1 ... subtract 1 from both sides
x < 1

After solving for x, we get x < 1

To graph this, plot an open circle at 1 on the number line and shade to the left of this value. The open circle indicates that 1 is not part of the solution set.

If your teacher requires you to graph this on an xy grid, then draw a vertical line through 1 on the x axis. Make this vertical line a dashed line. Then shade the entire region to the left of this dashed line. Any point in this shaded region will have an x coordinate that is less than 1. The dashed line acts like the open circle. The dashed line tells the reader "any point on this dashed line is not part of the solution set"

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3 years ago

The value of a weight vector is given as (w1=3, w2=-2, w0=1) for a linear model with soft threshold (sigmoid) function f(x).

dolphi86 [110]

Answer:

Please see explanation for the answer. The code is written in python and is as given below:

Step-by-step explanation:

The solution is obtained on the Python with the following code

import matplotlib.pyplot as plotter

import numpy as npy

x_s = npy.linspace(-5,5,100) #Defining a linear sample space with boundaries as -5 to 5 and 100 as number of samples.

def sigmo(z):return 1/(1 + npy.exp(-z)) #Defining sigmoid function for the f(x).

plotter.plot(x_s, sigmo(x_s))

plotter.plot([-5,5],[.5,.5])

plotter.xlabel("z")

plotter.ylabel("sigmoid(z)")

plotter.show()

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2 years ago

A doctor is measuring the mean systolic blood pressure of female students at a large college. Systolic blood pressure is known t

Nana76 [90]

Answer:

The correct option is (b).

Step-by-step explanation:

The (1 - α)% confidence interval for population mean (μ) is:

$CI=\bar x\pm z_{\alpha/2}\times\frac{SD}{\sqrt{n}}$

The confidence interval for population mean can be computed using either the z-interval or t-interval.

The t-interval is used if the following conditions are satisfied:

The population standard deviation is not known
The sample size is large enough
The population from which the sample is selected is normally distributed.

For computing a (1 - α)% confidence interval for population mean , it is necessary for the population to normally distributed if the sample selected is small, i.e.n < 30, because only then the sampling distribution of sample mean will be approximated by the normal distribution.

In this case the sample size is, n = 28 < 30.

Also it is provided that the systolic blood pressure is known to have a skewed distribution.

Since the sample is small and the population is not normally distributed, the sampling distribution of sample mean will not be approximated by the normal distribution.

Thus, no conclusion can be drawn from the 90% confidence interval for the mean systolic blood pressure.

The correct option is (b).

5 0

2 years ago

Finding angle measure using triangles

Rainbow [258]

x = 58°

Explanation:

According to the diagram, lines HI and JK are parallel to each other.

∠AHI = 60°

∠JKI = 62°

∠JKI and ∠HIA are equal because when two lines are parallel then the corresponding angles are equal.

So,

∠JKI = ∠HIA = 62°

In ΔHIA,

∠AHI + ∠HIA + ∠IAH = 180°

60° + 62°+ x = 180°

122° + x = 180°

x = 180° - 122°

x = 58°

3 0

3 years ago