Answer: x ≥ 5
Step-by-step explanation:
7 is increased by the product of a number and 3: 7 + 3x
Is at least 22: ≥ 22
Your equation is: 7 + 3x ≥ 22
subtract 7 from both sides
3x ≥ 15
divide both sides by 3
x ≥ 5
1.
Chance of finding a bug = 0.35
Chance of not finding a bug = 1 - 0.35 = 0.65
Probability of finding a bug in the first 3 programs =
Probability of not finding a bug in 2 out of the 3 and finding a bug in 1.:
0.65^2 * 0.35 = 0.147 = 0.15
Answer is A.
2.
Probability of heads = 0.50
Probability of tails = 0.50
Probability of heads on the fourth attempt = tails x tails x tails x heads = 0.5 x 0.5 x 0.5 x 0.5 = 0.0625
The answer is B.
Answer:
2/3
Step-by-step explanation:
Simplifying the Complex Fraction
Convert Mixed Numbers to Fractions
56114=5654
Method 1 : LCD Multiplication
The LCD for 6 and 4 is 12
Multiply top and bottom by the LCD
12×5612×54=1015
convert to mixed numbers and
reduce fractions where possible
=1015=23
Method 2 : Fraction Division
Divide the top fraction by the bottom
(multiply top by reciprocal of bottom)
56÷54
=56×45
=2030
convert to mixed numbers and
reduce fractions where possible
=2030=23
Kevin is 6 and Daniel is 3 now (i.e., K is 3 years older than D)
2 years ago K was 4 and D was 1 (i.e., K was 4 times as old as D)
