There are 187 nickels and 66 dimes in the jar.
Step-by-step explanation:
Given,
Total coins = 253
Value of coins = $15.95 = 15.95*100 = 1595 cents
Value of each nickel = 5 cents
Value of each dime = 10 cents
According to given statement;
x+y=253 Eqn 1
5x+10y=1595 Eqn 2
Multiplying Eqn 1 by 5
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 5
Putting y=66 in Eqn 1
There are 187 nickels and 66 dimes in the jar.
Keywords: linear equation, elimination method
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1.5 hour = 90 minute. Each 10 minute =2.4 miles so it's 2.4•9=21.6 The answer the person can bikes 21.6 miles in 1.5 hours.
Answer:
1,698 rounded to the nearest whole number is 1,698.
Step-by-step explanation:
1,698 is a whole number, but 1,698 rounded to the nearest tenth is 1,700
and round to the nearest hundred is 1,700. rounded to the nearest thousandth is 2,000. Hope this helps!!!!
Answer:
C. 18x + 9y: Because there isn't an relation between the two, all the others have and inequality sign meaning you can solve them, however C does not.
Step-by-step explanation:
Answer:
For first lamp ; The resultant probability is 0.703
For both lamps; The resultant probability is 0.3614
Step-by-step explanation:
Let X be the lifetime hours of two bulbs
X∼exp(1/1400)
f(x)=1/1400e−1/1400x
P(X<x)=1−e−1/1400x
X∼exp(1/1400)
f(x)=1/1400 e−1/1400x
P(X<x)=1−e−1/1400x
The probability that both of the lamp bulbs fail within 1700 hours is calculated below,
P(X≤1700)=1−e−1/1400×1700
=1−e−1.21=0.703
The resultant probability is 0.703
Let Y be a lifetime of another lamp two bulbs
Then the Z = X + Y will follow gamma distribution that is,
X+Y=Z∼gamma(2,1/1400)
2λZ∼
X+Y=Z∼gamma(2,1/1400)
2λZ∼χ2α2
The probability that both of the lamp bulbs fail within a total of 1700 hours is calculated below,
P(Z≤1700)=P(1/700Z≤1.67)=
P(χ24≤1.67)=0.3614
The resultant probability is 0.3614
