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Allushta [10]
3 years ago
13

if a 42.9ft tall flagpole casts a 253.1ft long shadow then how long is the shadow that a 6.2ft tall woman casts?

Mathematics
1 answer:
vovangra [49]3 years ago
3 0
Set up a proportion.
flagpole/shadow = woman/her shadow.

f/s1 = w/s2
f = 42.9
s1 = 253 
w = 6.2 
s2 = ??? = x

42.9/253 = 6.2 / x
42.9 x = 253*6.2
42.9 x = 1568.6
x = 1568.6 / 42.9
x = 36.56 The womans shadow is 36.56 feet long <<<< ===== answer.
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A simple random sample of 64 observations was taken from a large population. The sample mean and the standard deviation were det
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Answer:

The correct option is d

Step-by-step explanation:

From the question we are told that

    The sample size is  n = 64

    The mean is  \= x = 320

    The standard deviation is \sigma  = 120

Generally the standard error of the mean is mathematically represented as  

       \sigma_x = \frac{\sigma}{ \sqrt{n} }

=>    \sigma_x = \frac{120}{ \sqrt{64} }

=>    \sigma_x =15

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2 years ago
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What is (-2xy^3z^-2)^3(2x^2y^4z)^-2 simplified?
ser-zykov [4K]

Answer: 3 23 divided by 22 = 2(3 - 2) = 21 = 2 think it’s 2

Step-by-step explanation: Changes made to your input should not affect the solution:

(1): "^-2" was replaced by "^(-2)".

(2): "y4" was replaced by "y^4".

STEP

1

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Equation at the end of step 1

(((0-((2x•(y3))•z))-2)3)•(((2x2•y4)•z)-2)

STEP

2

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Equation at the end of step

2

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(((0 - (2xy3 • z)) - 2)3) • (2)(-2)x(-4)y(-8)z(-2)

STEP

3

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STEP

4

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Pulling out like terms

4.1 Simplify ( -2xy3z-2 )3

Put the exponent aside and simplfy the base by pulling out like factors :

-2xy3z-2 = -2 • (xy3z+1)

Remember the 4th law of exponents : (a • b)m= am• bm

Retract the exponent and apply the 4th law to the simplified base: ( -2 • (xy3z+1) )3 = (-2)3 • (xy3z+1)3

Trying to factor as a Sum of Cubes:

4.2 Factoring: xy3z+1

Put the exponent aside, try to factor xy3z+1

Theory : A sum of two perfect cubes, a3 + b3 can be factored into :

(a+b) • (a2-ab+b2)

Proof : (a+b) • (a2-ab+b2) =

a3-a2b+ab2+ba2-b2a+b3 =

a3+(a2b-ba2)+(ab2-b2a)+b3=

a3+0+0+b3=

a3+b3

Check : 1 is the cube of 1

Check : x 1 is not a cube !!

Ruling : Binomial can not be factored as the difference of two perfect cubes

Dividing exponents:

4.3 23 divided by 22 = 2(3 - 2) = 21 = 2

Final result :

-2 • (xy3z + 1)3

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3 years ago
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Part D
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Answer:

Step-by-step explanation:

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3 years ago
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Answer:  H_0:\mu=421

H_a : \mu\neq421

Step-by-step explanation:

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Given: A 37 bag sample had a mean of 421 grams.

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H_0:\mu=421

whereas the alternative hypothesis would be:

H_a : \mu\neq421

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