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2 years ago

Find the surface area of the prism.

Mathematics

1 answer:

Nana76 [90]2 years ago

3 0

Answer:

A = 136 cm²

Step-by-step explanation:

There are three pairs of rectangular faces

A = 2(ab) + 2(bc) + 2(ca)

A = 2(ab + bc + ca)

A = 2(3(4) + 4(8) + 8(3))

A = 136 cm²

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Help!!!!

ipn [44]

Answer:

The answer to your question is: letter A

Step-by-step explanation:

See the picture below

When we divide the polynomial by the factor the result is zero, that's why letter A is the factor.

When we divide the polynomial by B, C or D the residue is not zero, then they are not factors.

4 0

2 years ago

The lengths of lumber a machine cuts are normally distributed with a mean of 106 inches and a standard deviation of 0.3 inch. (

Vinvika [58]

Answer:

a) $P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)$

And we can find this probability with the complement rule:

$P(z>0.37)=1-P(z$

b) $z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}= 2.431$

And if we use the z score we got:

$P(z>2.431) =1-P(z$

Step-by-step explanation:

Let X the random variable that represent the lengths of a population, and for this case we know the distribution for X is given by:

$X \sim N(106,0.3)$

Where $\mu=106$ and $\sigma=0.3$

Part a

We are interested on this probability

$P(X>106.11)$

And we can use the z score formula given by:

$z=\frac{x-\mu}{\sigma}$

And using this formula we got:

$P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)$

And we can find this probability with the complement rule:

$P(z>0.37)=1-P(z$

Part b

For this case we select a sample of n =44 and the new z score formula is given by:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score we got:

$z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}= 2.431$

And if we use the z score we got:

$P(z>2.431) =1-P(z$

6 0

2 years ago

Will mark as Brainlist

Semmy [17]

The answer :

4/5

Step-by-step explanation:

4x-5y=0

subtract 4x on both the sides

4x-4x-5y = 0-4x

-5y = -4x

divide by -5 on both the sides

-5y/-5 = -4x/-5

y =( 4/5 )x

4 0

2 years ago

Express the form n:1 give n as a decimal 14:8

Alexus [3.1K]

I’m pretty sure it’s 1. 8:1

6 0

2 years ago

Divide the number 20 into two parts (not necessarily integers) in a way that makes the product of one part with the square of th

Ilya [14]

Answer:

13 1/3 and 6 2/3.

Step-by-step explanation:

Let the 2 parts be x and (20 - x).

So x^2(20 - x) must be a maximum.

y = x^2(20 - x)

y = 20x^2 - x^3

Finding the derivative):

y' = 40x - 3x^2 = 0 for maxm/minm value.

x( 40 - 3x) = 0

40 - 3x = 0

3x = 40

x = 40/3.

This is a maximum because the second derivative y" = 40 - 6x = 40 - 6(40/3)) is negative.

So the 2 numbers are 13 1/3 and 6 2/3.

3 0

2 years ago