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3 years ago

The difference between single and compound interest.

Mathematics

1 answer:

ahrayia [7]3 years ago

8 0

Single interest uses an arithmetic formula where as compound interest uses a geometric formula

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You believe the population is normally distributed. Find the 80% confidence interval. Enter your answer as an open-interval (i.e

victus00 [196]

You intend to estimate a population mean μ from the following sample. 26.2 27.7 8.6 3.8 11.6 You believe the population is normally distributed. Find the 80% confidence interval. Enter your answer as an open-interval (i.e., parentheses) accurate to twp decimal places.

Answer:

The Confidence interval = (8.98 , 22.18)

Step-by-step explanation:

From the given information:

mean = $\dfrac{ 26.2+ 27.7+ 8.6+ 3.8 +11.6 }{5}$

mean = 15.58

the standard deviation $\sigma$ = $\sqrt{\dfrac{\sum(x_i - \mu)^2 }{n}}$

the standard deviation = $\sqrt{\dfrac{(26.2 - 15.58)^2 +(27.7 - 15.58)^2 +(8.6 - 15.58)^2 + (3.8 - 15.58)^2 + (11.6 - 15.58)^2 }{5 } }$

standard deviation = 9.62297

Degrees of freedom df = n-1

Degrees of freedom df = 5 - 1

Degrees of freedom df = 4

For df at 4 and 80% confidence level, the critical value t from t table = 1.533

The Margin of Error M.O.E = $t \times \dfrac{\sigma}{\sqrt{n}}$

The Margin of Error M.O.E = $1.533 \times \dfrac{9.62297}{\sqrt{5}}$

The Margin of Error M.O.E = $1.533 \times 4.3035$

The Margin of Error M.O.E = 6.60

The Confidence interval = ( $\mu \pm M.O.E$ )

The Confidence interval = ( $\mu + M.O.E$ , $\mu - M.O.E$ )

The Confidence interval = ( 15.58 - 6.60 , 15.58 + 6.60)

The Confidence interval = (8.98 , 22.18)

7 0

3 years ago

Find the values of x and y for which the quadrilateral must be a parallelogram.

BabaBlast [244]

Answer:

I believe you are right.

Step-by-step explanation:

All sides seem to be of similar length. The values you put in would make the sides equal so I would go with that one.

5 0

3 years ago

How can I write 2,351 and standard form

Ludmilka [50]

Isn't 2,351 the standardized form already?
there is word form: two thousand, three hundred fifty one
there is expanded form: (2* 1000)+ (3*100)+ (5* 10)+ (1* 1)= 2,351

3 0

3 years ago

Read 2 more answers

Kate and Jean paint a house together in 6 days. If they work alone, Kate takes 5 fewer days than Jean would take to do the same

navik [9.2K]

X = number of days it would take Kate to paint the house by herself. .
x+5 = number of days it would take Jean to paint the house by herself.
Together, they paint the house in 6 days: 
1/x + 1/(x+5) = 1/6 
Multiply both sides by 6x(x+5) 
6(x+5) + 6x = x(x+5) 
12x + 30 = x^2 + 5x 
x^2 − 7x − 30 = 0
therefore the answer is A.

4 0

3 years ago

Read 2 more answers

Please prove it for me

grigory [225]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

tanx = $\frac{1}{cotx}$