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3 years ago

The difference of two numbers is 18 and their sum is 90 find the two numbers

Mathematics

1 answer:

Mariulka [41]3 years ago

8 0

Answer 36 and 54

x and x+18 are the numbers

x+(x+18)=90

2x+18=90

2x=72

x=36

x+18=54

36 and 54 are the numbers

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(a) Find a 90% confidence interval for the population mean price (per 100 pounds) that farmers in this region get for their wate

Anon25 [30]

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The margin of error (E) $=0.49$

Step-by-step explanation:

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mean $\bar{x}=6.88$

standard deviation $\sigma=1.90$

sample size $n=41$

$90\% \quad \text{confidence interval}$

Critical value $=\frac{z_\alpha}{2}\quad \quad\quad[\because\;\alpha=1-\text{confidence interval}]$

$=1-0.90$

$\Rightarrow \alpha=0.1$

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Complete question is attached in below.

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3 years ago

Which of the following is a area of the special trepezoid if ab=19,cd=19 and the height is 14

tankabanditka [31]

As, Opposite side of Special trapezoid is equal.So, it will be a Parallelogram.

ab=c d= 19 units

Height of Trapezoid = 14 units

Area of Trapezoid = $\frac{1}{2} \times {\text{Sum of parallel sides}} \times {\text{Perpendicular Distance between them}}$

$=\frac{1}{2}\times (19+19) \times 14\\\\ =\frac{1}{2} \times 38 \times 14\\\\ = 19 \times 14\\\\= 266$

So, Area of Trapezoid = 266 square units

You, can use the formula for finding the area of parallelogram,which is = Base on which perpendicular is drawn × Length of Altitude

= 19 × 14

= 266 square units

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4 years ago