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3 years ago

5. ERROR ANALYSIS Describe and correct the error in finding the sum of the number

Mathematics

1 answer:

Semmy [17]3 years ago

8 0

Answer:

(25 × 10") + 153 × 10" = (25 +153) × 10" = 178 × 10" = 1780"

Step-by-step explanation:

a) Numbers are miscopied: the numbers in parentheses should be (25 +153). Of course, the sum of these should be 178, not 78.

b) The common factor 10" is somehow expanded to 110' x 10°. It should be 10".

The sum should be ...

(25 × 10") + 153 × 10" = (25 +153) × 10"

= 178 × 10" = 1780" . . . . . correct sum

_____

Maybe the middle step is an attempt to convert to feet.

1780" × (1')/(12") = (148 1/3)' = 148' 4"

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Factor completely 4p^2-25q^2

Alexxandr [17]

Answer:

(2p - 5q) (2p + 5q)

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3 years ago

Please help with this question!!

xxMikexx [17]

$\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2\\\\l\perp k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\\text{We have the points J(-24, -4) and K(-4, 6)}.\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{substitute:}\\\\m_1=\dfrac{6-(-4)}{-4-(-24)}=\dfrac{10}{20}=\dfrac{1}{2}\\\\\text{therefore}\ m_2=-\dfrac{1}{\frac{1}{2}}=-2\\\\\text{The formula of a midpoint:}\\\\\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)\\\\\text{substitute the coordinates of the points J and K:}$

$x=\dfrac{-24+(-4)}{2}=\dfrac{-28}{2}=-14\\\\y=\dfrac{-4+6}{2}=\dfrac{2}{2}=1\\\\\text{midpoint}\ (-14,\ 1)\\\\\text{The point-slope form:}\\\\y-y_1=m(x-x_1)\\\\\text{substitute}\ m=-2,\ x_1=-14\ \text{and}\ y_1=1:\\\\y-1=-2(x-(-14))\\\\\boxed{y-1=-2(x+14)}$

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3 years ago

A serving of chickenpeas contain 1,750 milligrams of potassium. how many grams of potassium is that

Sidana [21]

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Hope it helps :)

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3 years ago

7 and 1/5 -2 and 3/5 equal

Furkat [3]

7 1/5 - 2 3/5 =
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3 years ago

A random sample of of 100 voters in a town is selected, and 24 are found to support an annexation suit. Find the 96% confidence

lbvjy [14]

Answer: 0.24 +/- 0.088 = (0.152, 0.328)

Step-by-step explanation:

The point estimate p is given by;

p= 24/ 100 = 0.24

Z value for 96% confidence interval is 2.05

The solution for the given confidence interval is derived using the equation

p +/- z√(pq/n)

Where p = 0.24 q= 1-p = 0.76, n=100 z= 2.05

= 0.24 +/- 2.05√(0.24×0.76/100)

= 0.24 +/- 2.05(0.0427)

=0.24 +/- 0.088

= ( 0.152, 0.328)

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3 years ago