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Brrunno [24]
3 years ago
6

The area of a rectangle is 0.8 square units. The length is 3.2 units and the width is x units.

Mathematics
2 answers:
KengaRu [80]3 years ago
6 0

Answer:

Option 1 - x=0.25

Step-by-step explanation:

Given : The area of a rectangle is 0.8 square units. The length is 3.2 units and the width is x units.

To find : What is the value of x?

Solution :

The area of the rectangle is given by,

A=L\times W

The length of the rectangle is L=3.2 units

The width of the rectangle is W=x units

The area of the rectangle is A=0.8 square units

Substitute the value in the formula,

0.8=3.2\times x

x=\frac{0.8}{3.2}

x=0.25

Therefore, Option 1 is correct.

The value of x is 0.25.

Naddika [18.5K]3 years ago
3 0
Area= l*b
0.8=3.2*x
0.8/3.2=x
x=0.25 units
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A given population proportion is .25. What is the probability of getting each of the following sample proportions
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This question is incomplete, the complete question is;

A given population proportion is .25. What is the probability of getting each of the following sample proportions

a) n = 110 and = p^ ≤ 0.21, prob = ?

b) n = 33 and p^ > 0.24, prob = ?

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Answer:

a) the probability of getting the sample proportion is 0.1660

b) the probability of getting the sample proportion is 0.5517

Step-by-step explanation:

Given the data in the questions

a)

population proportion = 0.25

q = 1 - p = 1 - 0.25 = 0.75

sample size n = 110

mean = μ = 0.25

S.D = √( p( 1 - p) / n ) = √(0.25( 1 - 0.25) / 110 ) √( 0.1875 / 110 ) = 0.0413

Now, P( p^ ≤ 0.21 )

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= P[ Z < ( 0.21 - 0.25 ) / 0.0413)

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from z-score table

P( X ≤ 0.21 ) = 0.1660

Therefore, the probability of getting the sample proportion is 0.1660

b)

population proportion = 0.25

q = 1 - p = 1 - 0.25 = 0.75

sample size n = 33

mean = μ = 0.25

S.D = √( p( 1 - p) / n ) = √(0.25( 1 - 0.25) / 33 ) = √( 0.1875 / 33 ) = 0.0754

Now, P( p^ > 0.24 )  

= P[ (( p^ - μ ) /S.D) > (( 0.24 - μ ) / S.D)

= P[ Z > ( 0.24 - 0.25 ) / 0.0754 )

= P[ Z > -0.01 / 0.0754  ]

= P[ Z > -0.13 ]

= 1 - P[ Z < -0.13 ]

from z-score table

{P[ Z < -0.13 ] = 0.4483}

1 - 0.4483

P( p^ > 0.24 )  = 0.5517

Therefore, the probability of getting the sample proportion is 0.5517

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