Jessie has a total of 36 coins of dimes and nickels. Total value is $2.35. How many of each kind of coins does he have?

Mathematics

1 answer:

Viktor [21]2 years ago

7 0

There are 2 dollars so that would equal 20 dimes.

Proof:

10 cents = a dime

20 x 10 = 200 = 2 dollars

There are 35 cents to that would equal 3 dimes and 1 nickel.

Proof:

10 cents = a dime

5 cents = a nickel

3 x 10 = 30

1 x 5 = 5

So the final answer would be 23 dimes and 1 nickel.

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A homeowner has two smoke detector alarms installed, one in the dining room (adjacent to the kitchen) and one in an upstairs bed

cestrela7 [59]

Answer:

0.97

Step-by-step explanation:

Given that a homeowner has two smoke detector alarms installed, one in the dining room (adjacent to the kitchen) and one in an upstairs bedroom (above the kitchen). If cooking produces smoke in the kitchen, the probability of setting off the dining room alarm (D) is .95. The probability of setting off the bedroom alarm (B) is .40.

Both alarms are independent of each other.

Probability for smoke detection=P(any one alarm rings)

=P(Kitchen alarm sets off)+P(bed room alarm sets off)-P(Both sets off)

Since both are independent

P(Both) = $0.95*0.40\\=0.38$