Hayden built a wooden sculpture with the dimensions shown. Now he wants to paint it.

How do you find the exact surface area of a rectangular prism?

Gemiola [76]

The exact formula for surface area for a rectangular prism is 2lw+2lh+2wh. Where l=length. W=width.h=height.

4 0

3 years ago

How did the hundredths grid model help you calculate percents greater than 100% and percents expressed using decimals and fracti

Paraphin [41]

Answer:

How is genetic information passed from parents to offspring in humans?

But when people talk about genes being passed on, they generally don't mean genes being passed on from cell to cell during cell division. Instead, they usually mean genes being passed on from parents to children. This is known as "heredity" or "inherited genes."

Step-by-step explanation:

7 0

3 years ago

!!!!NEED HELP ASAP!!!! NO LINKS OR REPORT

Mariana [72]

Answer:

y = 3x - 5

Step-by-step explanation:

So first take any two points from the graph.

(0, -5), (2, 1)

The slope is $\frac{1 + 5}{2 - 0} =3$

y = mx + b

b is the y intercept

The y intercept is (0, -5) as this is where the line intersects the y axis.

y = 3x - 5

3 0

3 years ago

The head librarian at the Library of Congress has asked her assistant for an interval estimate of the mean number of books check

Verdich [7]

Answer:

$n=(\frac{1.960(150)}{90})^2 =10.67 \approx 11$

So the answer for this case would be n=11 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma =150$ represent the population standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The confidence interval for this case is given by: (740, 920)

We can find the estimate for the mean and we got:

$\bar X = \frac{740+920}{2} = 830$

and the margin of error is given by :

$ME = \frac{920-740}{2}= 90$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (a)

And on this case we have that ME =90 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got $z_{\alpha/2}=1.960$ , replacing into formula (b) we got:

$n=(\frac{1.960(150)}{90})^2 =10.67 \approx 11$

So the answer for this case would be n=11 rounded up to the nearest integer

5 0

3 years ago

Sin A=0.7245 A= sin D=0.4567 D=

Rashid [163]

The simplest way would be to use a calculator to evaluate B = arcsin(0.7245)

If you don't have a calculator, the next, more complex way would be to interpolate a table of sines and find the value of the angle whose sine is 0.7245. That is the method that was most widely used before the invention of hand held calculators and after sine tables had been published. 

The next, most complex way would be to evaluate terms in the infinite series representation of the arcsine function which is the way the sine tables were developed for publication. That series is 
arcsin(x) = x + x³/6 + (3/40)x^5 + (15/336)x^7 + ... 

The result for any of those methods would be B = 46.4° 

Geometrically, you could: 
1) Draw a circle of known radius, R. centered at the origin of a rectangular coordinate system 
2) Draw a line parallel to the x axis a distance 0.7245R above the x-axis 
3) Draw a line connecting the origin to the rightmost point of intersection between the circle 1) and the line 2). 
4) Measure the angle between the line 3) and the +x axis. 

The Angle 4) will be the measure of the angle whose sine is 0.7245. 

That explains four ways you can find the measure of the angle whose sine is 0.7245.

4 0

3 years ago