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love history [14]
2 years ago
4

Which sequence could be partially defined by the recursive formula f (n 1) = f(n) 2.5 for n ≥ 1? 2.5, 6.25, 15.625, 39.0625, … 2

.5, 5, 10, 20 –10, –7.5, –5, –2.5, … –10, –25, 62.5, 156.25
Mathematics
2 answers:
serg [7]2 years ago
5 0
F(n + 1) = f(n) + 2.5
f(1) = -10
f(2) = f(1) + 2.5 = -10 + 2.5 = -7.5
f(3) = f(2) + 2.5 = -7.5 + 2.5 = -5
f(4) = f(3) + 2.5 = -5 + 2.5 = -2.5
stich3 [128]2 years ago
3 0

Answer:

its C

Step-by-step explanation:

i just took the test ;p

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A machine needs 2 of its gears replaced. You find 2 gears, one manufactured 5 years ago and the other manufactured 10 years ago.
Tcecarenko [31]
Probability that gear 1 will fail = 5/100 (upto 10 years) 
and 8/100 (after 10 years)

Probability that both will fail = 5/100 * 8/100
= 40/10000
= 0.4 %

8 0
2 years ago
Consider the graphs of f (x) = StartAbsoluteValue x EndAbsoluteValue + 1 and g (x) = StartFraction 1 Over x cubed EndFraction. T
Westkost [7]

Answer:

We have the functions:

f(x) = IxI + 1

g(x) = 1/x^3.

Now, we know that the composite functions do not permute.

How we can prove this?

First, two composite functions are commutative if:

f(g(x)) = g(f(x))

Well, you could use brute force (just replace the values and see if the composite functions are commutative or not)

But i will use a more elegant way.

We can notice two things:

g(x) has a discontinuity at x = 0.

so:

f(g(x)) = I 1/x^3 I + 1

still has a discontinuty at x = 0, but:

g(f(x)) = 1/( IxI + 1)^3

here the denominator is IxI + 1, is never equal to zero.

So now we do not have a discontinuity.

Then the composite functions can not be commutative.

7 0
2 years ago
Read 2 more answers
Eli is thinking of two numbers. If you add them, the answer is 13. If you subtract them, the answer is 3. What is one of the two
lesantik [10]
Substract 3 from the total and divide it with 2
one of them is 5 and the other one is 8.
7 0
2 years ago
What is the result of substituting for y in the bottom equation?
zhenek [66]

Answer:

(A)x + 3= x^2 + 2x-4

Step-by-step explanation:

Given the equations:

y = x + 3\\y= x^2 + 2x-4

Substitution simply means replacing the variable y in the second equation with its equivalent x+3 from the first equation.

Substitution of y into y=x^2 + 2x-4 gives us:

x + 3= x^2 + 2x-4

The correct option is A.

6 0
2 years ago
The weights of running shoes are normally distributed with an unknown population mean and standard deviation. If a random sample
VLD [36.1K]

Answer:

The margin of error for a 95% confidence interval estimate for the population mean using the Student's t-distribution is of 6.22 ounces.

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 23 - 1 = 22

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 22 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.0739

The margin of error is:

M = T*s

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In this question:

s = 3.

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The margin of error for a 95% confidence interval estimate for the population mean using the Student's t-distribution is of 6.22 ounces.

8 0
2 years ago
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