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3 years ago

The exponential function f(x) has a horizontal asymptote at y=3 what is the end behaviour of f(x)?

Mathematics

1 answer:

tatuchka [14]3 years ago

8 0

Answer: C) as x → -∞, y → 3

as x→ ∞ , y → ∞

Step-by-step explanation:

see graph

Notice that as x approaches negative infinity (goes to the left), the y value approaches the asymptote of y = 3.

And as x approaches positive infinity (goes to the right), the y-value increases without bound so goes to infinity.

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a consumer magazine counts the number of tissues per box in a random sample of 15 boxes of No- Rasp facial tissues. The sample s

Alex

Answer:

95% confidence interval for the population variance of the number of tissues per box is [5043.11 , 23401.31].

Step-by-step explanation:

We are given that a consumer magazine counts the number of tissues per box in a random sample of 15 boxes of No- Rasp facial tissues. The sample standard deviation of the number of tissues per box is 97.

Firstly, the pivotal quantity for 95% confidence interval for the population variance is given by;

P.Q. = $\frac{(n-1)s^{2} }{\sigma^{2} }$ ~ $\chi^{2}__n_-_1$

where, $s^{2}$ = sample variance = $97^{2}$ = 9409

n = sample of boxes = 15

$\sigma^{2}$ = population variance

Here for constructing 95% confidence interval we have used chi-square test statistics.

So, 95% confidence interval for the population variance, $\sigma^{2}$ is ;

P(5.629 < $\chi^{2}__1_4$ < 26.12) = 0.95 {As the critical value of chi-square at 14

degree of freedom are 5.629 & 26.12}

P(5.629 < $\frac{(n-1)s^{2} }{\sigma^{2} }$ < 26.12) = 0.95

P( $\frac{5.629 }{(n-1)s^{2} }$ < $\frac{1}{\sigma^{2} }$ < $\frac{26.12 }{(n-1)s^{2} }$ ) = 0.95

P( $\frac{(n-1)s^{2} }{26.12 }$ < $\sigma^{2}$ < $\frac{(n-1)s^{2} }{5.629 }$ ) = 0.95

95% confidence interval for $\sigma^{2}$ = [ $\frac{(n-1)s^{2} }{26.12 }$ , $\frac{(n-1)s^{2} }{5.629 }$ ]

= [ $\frac{14 \times 9409 }{26.12 }$ , $\frac{14 \times 9409 }{5.629 }$ ]

= [5043.11 , 23401.31]

Therefore, 95% confidence interval for the population variance of the number of tissues per box is [5043.11 , 23401.31].

6 0

4 years ago

What's 00.5 in a fraction?

Vikentia [17]

1/2. it is one half because it is half of 1

6 0

3 years ago

Read 2 more answers

Your paycheck this week is $241. You put the $114 in a savings account that pays an interest

antiseptic1488 [7]

Answer:

$122.9

Step-by-step explanation:

Given data

Principal= $114

Rate= 3.9%

Time= 2 years

The amount in the account is given as

A=P(1+rt)

substitute

A=114(1+0.039*2)

A=114(1+0.078)

A=114(1.078)

A=$122.9

5 0

3 years ago

A pattern is made from four congruent squares.

Mashutka [201]

Answer:

c is marked on the diagram

3 0

3 years ago

I need help with a math question please?

elena55 [62]

To find the tan x use the following formula
tan x = (sin x)/(cos x)
tan x = (1/2)/(sqrt (3)/2)
tan x = 1/sqrt (3) = sqrt (3)/3 or E

6 0

4 years ago