Answer:
The age of Sue could be 7 years
Step-by-step explanation:
Jenny is 8 years older than twice her cousin Sue's age.
The first equation will be :
J = 8 + 2S ---------(1)
The sum of their ages is less than 32.
The second equation will be :
J + S < 32 ----------------(2)
Now rearrange both equations :
8 + 2S + S < 32
3S < 32 - 8
3S < 24
S < 24/3
S < 8
S = 7
The age of Sue could be 7 years.
Answer: The lower bound of confidence interval would be 0.116.
Step-by-step explanation:
Since we have given that
p = 13.2%= 0.132
n = 1105
At 90% confidence,
z = 1.645
So, Margin of error would be

So, the lower bound of the confidence interval would be

Hence, the lower bound of confidence interval would be 0.116.
Answer:
1) 0.5 or 50%.
2) Order does not matter: 3,003 combinations.
Order matters: 360,360 permutations.
Step-by-step explanation:
1) The probability of drawing either a purple or a blue chip is the sum of both individual probabilities:

the probability that a blue or a purple chip will be drawn is 0.5 or 50%.
2)
a) Choose 5 items from a total of 15 items when order does not matter:

b) Choose 5 items from a total of 15 items when order matters:

This is a pretty bad question but I think the answer they're looking for is
angle
circle
line segment
We define arcs in terms of circles and parallel lines in terms of lines (though not necessarily line segments, so this is a bit of a judgement call).
Answer:
1. 
2. Addition property of equality
Step-by-step explanation:
In triangle ABC,

The addition property of equality states that if the same amount is added to both sides of an equation, then the equality is still true.
Use addition property of equality, add 1 to both sides of previouse equality:
