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3 years ago

The length of a rectangle is 3 inches greater than the width.

Mathematics

2 answers:

Gnesinka [82]3 years ago

6 0

Answer: 28ins²

Step-by-step explanation:

From the question, let the width of the rectangle = xins.

Therefore, the breadth = ( x + 3 )ins.

(A) The area of the rectangle which is L x B = x( x+ 3 )

= (x² + 3x)ins² . In polynomial.

(B) The area of the rectangle if the width is 4ins, that is if x = 4ins.To find the area, we substitute for x in the area above

= 4² + 3 x 4

= 16 + 12

= 28ins²

kati45 [8]3 years ago

4 0

Answer:

A - x (x+3) = Area of the rectangle

B- 28 inches squared

Step-by-step explanation:

B- using the formula from A

x = 4

x + 3 = 4 +3 = 7

4 times 7 is 28

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Answer:

a) 0.033

b) 0.468

c) 100

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 105.3

Standard Deviation, σ = 8

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Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

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Calculation the value from standard normal z table, we have,

$P(x > 120) = 1 - 0.967 = 0.033 = 3.3\%$

b) P(x between 100 and 110)

$P(100 \leq x \leq 110) = P(\displaystyle\frac{100 - 105.3}{8} \leq z \leq \displaystyle\frac{110-105.3}{8}) = P(-0.6625 \leq z \leq 0.5875)\\\\= P(z \leq 0.5875) - P(z \leq -0.6625)\\= 0.722 - 0.254 = 0.468 = 46.8\%$

$P(100 \leq x \leq 110) = 46.8\%$

c) P(x < a) = 0.25

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Calculation the value from standard normal z table, we have,

$P( z \leq -0.674) = 0.25$

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