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Margarita [4]
2 years ago
6

A survey of couples in a city found the following probabilities:

Mathematics
1 answer:
liraira [26]2 years ago
8 0

Answer

(a) 0.94

(b)0.06

Step-by-step explanation:

P(husband is employed) = P(H) = 0.85

P(wife is employed) = P(W) = 0.59

P(both are employed) = P(H∩W) = 0.50

(a) At least one of them is employed

= P(H∪W)

= P(H) + P(W) - P(H∩W)

=0.85 + 0.59 - 0.50

=0.94

(b) Neither is employed,

=1 - P(H∪W)

= 1-0.94

=0.06

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An orchard has 651 orange trees. The number of rows exceeds the number of trees per row by 10. How many trees are there in a row
natima [27]

Answer:

The number of trees in each row is  21.

Step-by-step explanation:

Let us assume the number of trees in each row  = m

So, the number of rows in the orchard = Number of trees in each row + 10

or, total number of trees in each row = (10 +m)

Now, Total number of Trees = Number of Rows x Number of trees in 1 row

⇒ 651  = m (m + 10)

651 = m^2 + 10m\\\implies  m^2 + 10m - 651 =0\\or,   m^2 + 31m  21m - 651 =0\\or, m(m +31) -21(m+31) =0\\\implies (m +31) (m-21) = 0

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⇒ m= -31, or m = 21

Now, as m = The number of trees in each row, so m ≠ -31

So, m =  21

Hence, the number of trees in each row is m = 21.

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3 years ago
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