Answer:
True.
Step-by-step explanation:
The explicit form for an arithmetic sequence is:
where 
is the first term and 
is the common difference.
The common difference here is 2 because the y's are going up by 2 while the x's are going up by 1.
Yes, the common difference is the slope.
So we have d=2.
The first term is 9.5 because that is what happens when x=1.
x is n.
y is 
.
So the answer is true.
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You can also verify by plugging in numbers for n and see if you get the outputs mentioned in the pairs given:
Let n=1:
Let n=2:
Let n=3:
Let n=4:
Let n=5:
Let n=6:
We have confirmed that we get all 6 of the mentioned points using the equation they gave.
Answer:
The equation of the new function is 
Step-by-step explanation:
Suppose we have a function f(x).
a*f(x), a > 1, is vertically stretching f(x) a units. Otherwise, if a < 1, we are vertically compressing f(x) by a units.
f(x - a) is shifting f(x) a units to the right.
f(x + a) is shifting f(x) a units to the left
In this question:
Vertically compressing by 1/2:
This is the same as multiplying the function by 1/2. So
The equation of the new function is
Answer:
The Total including sales tax would equal $1.04.
Step-by-step explanation:
The total tax added is $0.08.
Answer:
A) Lifetime: 200+15x
Health Bridge: 50+30x
B.1) Yes, they are both the same price after 10 Months at an amount of $350
B.2) Lifetime gym would be cheaper by $30
C) Health Bridge Gym because it is $60 less
D) Lifetime Gym
Step-by-step explanation:
A) 200=Initial Fee___15=Monthly Cost___x=Months
50=Initial Fee___30=Monthly Cost___x=Months
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B.1) 200+15(10)=350
50+30(10)=350
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B.2) 200+15(12)=$380
50+30(12)=$410
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C) 200+15(6)=290
50+30(6)=230
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Lifetime Gym's initial fee is greater than Health Bridge's fee but without exceeding $500, you are able to go to the gym for 20 months rather than 15 months using Health Bridge's plan.
D)200+15(20)=$500
50+30(15)=$500
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I hope this is enough work shown, if you need a better understanding let me know and I will revise the equations for you.
The 99% confidence interval for the true mean is given by:
where:
is the sample mean = 69.7
is the standard deviation = 2.8
is the test statistics = 2.58 for for 99% confidentce interval.
n is the sample size = 772.
Therefore, the 99% confidence interval is:
