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viva [34]
2 years ago
15

The questions on a test consist of 10 multiple choices, 3 essays, and 9 free responses. If the questions are ordered randomly, w

hat is the probability that the first question is a free response?
• Give your answer as a fraction
Mathematics
1 answer:
stepladder [879]2 years ago
3 0

Answer:

\frac{9}{22}

Step-by-step explanation:

add all qestions together 10+3+9=22

and put the number of free responces on top of the total number of qestions

\frac{9}{22\\}

and you cant simplify it so its in its simplist form

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Answer:

90

Step-by-step explanation:

To find s4  we find sum of values when n=1,n=2,n=3,n=4

given expression is 6(2)^{n-1}

n=1 , plug in 1 for n

6(2)^{1-1}=6

n=2

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n=3

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n=4

6(2)^{4-1}=48

Sum of all 4 terms = 6+12+24+48=90

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3 years ago
Read 2 more answers
= 2. Given the quadratic equation 3x2 – 8x + k = 0 has no real roots. Find the range of values of k.
VashaNatasha [74]

\text{If there  are no real roots, then}\\\\~~~~~\text{Discriminant} < 0\\\\\implies b^2 -4ac < 0\\\\\implies (-8)^2 -4 \cdot 3 k < 0\\\\\implies 64-12k < 0\\\\\ \implies 12k > 64\\\\\implies k > \dfrac{64}{12}\\\\\implies k > \dfrac{16}3\\\\\text{Interval,}~ \left( \dfrac{16}3, ~\infty\right)

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