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madam [21]
3 years ago
6

The width of the rectangle is 5x-4. The length of the rectangle is 5

Mathematics
1 answer:
drek231 [11]3 years ago
3 0

Answer:

The area of the rectangle A =  25x² -  20x

Step-by-step explanation:

Given

The width of the rectangle = w = 5x - 4

The length of a rectangle = l = 5x

To determine

The area of the rectangle = ?

Using the Formula to determine the area of the rectangle

A = wl

substitute w = 5x - 4 and l = 5x in the formula

A = (5x-4) (5x)

Apply distributive law:  a(b-c) = ab - ac

   =\left(5x\right)\cdot \:5x-\left(5x\right)\cdot \:4

   =5x\left(5x\right)-4\left(5x\right)

as 5x(5x) = 25x²  and  4(5x) = 20x, so

    =25x^2-20x

Therefore, the area of the rectangle A =  25x² -  20x

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t = 2(s + 2)
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Step-by-step explanation:

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F(x) = x2 – 3x + 5 g(x) = V22 – 2x Calculate g (f (1)).​
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Step-by-step explanation:

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=1-3+5

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A random sample of 25 statistics examinations was selected. The average score in the sample was 76 with a variance of 144. Assum
ki77a [65]

Answer:

The confidence interval is from 69.82 o 82.18

Step-by-step explanation:

Using this formula X ± Z (s/√n)

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X = 76 --------------------------Mean

S = Standard Deviation

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S = √144

S = 12

n = 25 ----------------------------------Number of observation

Z = 2.576 ------------------------------The chosen Z-value from the confidence table below

Confidence Interval || Z

80%. || 1.282

85% || 1.440

90%. || 1.645

95%. || 1.960

99%. || 2.576

99.5%. || 2.807

99.9%. || 3.291

Substituting these values in the formula

Confidence Interval (CI) = 76 ± 2.576 (12/√25)

CI = 76 ± 2.576(12/5)

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CI = 82.1824 ~ 69.8176

CI = 82.18 ~ 69.82

In other words the confidence interval is from 69.8176 to 82.1824

4 0
3 years ago
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