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3 years ago

14

What is the sum in simplest form for 5/8+2/5

1 answer:

Bogdan [553]3 years ago

5 0

(5/8)+(2/5)=

so you need a common den so in this case its 40

so we multiply to get 40 like

(5/5)(5/8)+ (2/5)(8/8)=

25/40 + 16/ 40 = 41/40

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Of the cartons produced by a company, % have a puncture, % have a smashed corner, and % have both a puncture and a smashed

LuckyWell [14K]

Full Question

<em>Of the cartons produced by a company, 10% have a puncture, 6% have a smashed corner, and 0.4% have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corner. The probability that a randomly selected carton has a puncture or a smashed corner nothing ____%. (Type an integer or a decimal. Do not round.)</em>

<em />

Answer:

$P(Punctured\ or\ Smashed\ Corner) = 0.156$

Step-by-step explanation:

Given

$Puncture\ Corner = 10\%$

$Smashed\ Corner = 6\%$

$Punctured\ and\ Smashed\ Corner = 0.4\%$

Required

$P(Punctured\ or\ Smashed\ Corner)$

For non-mutually exclusive event described above, P(Punctured or Smashed Corner) can be calculated as thus;

$P(Punctured\ or\ Smashed\ Corner) = P(Punctured\ Corner) + P(Smashed\ Corner) - P(Punctured\ and\ Smashed\ Corner)$

Substitute:

10% for P(Puncture Corner),

6% for P(Smashed Corner) and

0.4% for P(Punctured and Smashed Corner)

$P(Punctured\ or\ Smashed\ Corner) = 10\% + 6\% - 0.4\%$

$P(Punctured\ or\ Smashed\ Corner) = 15.6\%$

Convert % to fraction

$P(Punctured\ or\ Smashed\ Corner) = \frac{15.6}{100}$

Convert to decimal

$P(Punctured\ or\ Smashed\ Corner) = 0.156$

3 0

2 years ago

In ΔNOP, m∠N = 110° and m∠O = 38°. Which list has the sides of ΔNOP in order from longest to shortest?

fredd [130]

Answer:

The largest side is OP.

Step-by-step explanation:

ΔNOP, m∠N = 110° and m∠O = 38°

According to he property of the triangle, the sum of all the angles of the triangle is 180°,

So,

m∠N + m∠O + m∠P = 180°

110° + 38° + m∠P = 180°

m∠P = 32°

The side opposite to the largest angle is largest.

Here the largest angle is m∠N so the largest side is OP.

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