megan has $1.10 in dimes,nickels and pennies. She has 3 times as many nickels as pennies and the number of dimes is 2 less than
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Answer:
The slope is 13.
The x intercept is .
The y intercept is .
Step-by-step explanation:
1. Finding the slope.
This is a linear equation, because <u>it's graph forms a line</u>. In a linear equation, the slope is always the value that multiplies x. In this case, x is being multiplied by 13, therefore, <u>the slope is 13</u>.
2. Finding the x intercept.
The x intercept is found when the value of y is 0. Let's replace the value of y for 0 in the equation and solve the x:
<u>The x intercept is </u><u>.</u>
3. Finding the y intercept.
The y intercept is found when the value of x is 0. Let's replace the value of x for 0 in the equation and solve the y:
<u>The y intercept is </u><u>.</u>
Answer:
Step-by-step explanation:
The total number of permutations of boys and girls on the team are:
¹⁶P₅*¹³P₄
1.
Bob will be one of the fixed boys to be picked. Hence, actually 4 boys are to be picked from 15. The permutations of girls being picked remains the same.
Probability = Permutations with Bob as one of the boys / Total permutations
Probability = (¹⁵P₄*¹³P₄) / (¹⁶P₅*¹³P₄) = ¹⁵P₄ / ¹⁶P₅
Probability = = 15! / 16! = 1/16
2.
Now, Bob is one of the fixed boys and Jane is one of the fixed girls. Hence, actually 4 boys are to be picked from 15 and 3 girls are to be picked from 12.
Probability = Permutations with bob as one of the boys and jane as one of the girls / Total permutations
Probability = (¹⁵P₄*¹²P₃) / (¹⁶P₅*¹³P₄) = (1/16)*(1/13) = 1/208
3.
Now, the probability that at least Jane or Bob will be picked has been asked. This probability is a combination of three probabilities:
Probability = (Probability that only Bob will be picked) + (Probability that only Jane will be picked) + (Probability that both will be picked)
Probability = 1/16 + 1/13 + 1/208 = 0.123
4.
Total teams possible = ¹⁶P₅*¹³P₄ = 8994585600 teams are possible