Calculate the perimeter of the figure shown below. 5 ft 5 ft 10 ft 18 ft

tatuchka [14]

The LCM is 2x2x2x7 factorized

6 0

3 years ago

A financial analyst wanted to estimate the mean annual return on mutual funds. A random sample of funds' returns shows an averag

Feliz [49]

A financial analyst wanted to estimate the mean annual return on mutual funds. A random sample of 60 funds' returns shows an average rate of 12%. If the population standard deviation is assumed to be 4%, the 95% confidence interval estimate for the annual return on all mutual funds is

A. 0.037773 to 0.202227

B. 3.7773% to 20.2227%

C. 59.98786% to 61.01214%

D. 51.7773% to 68.2227%

E. 10.988% to 13.012%

Answer: E. 10.988% to 13.012%

Step-by-step explanation:

Given;

Mean x= 12%

Standard deviation r = 4%

Number of samples tested n = 60

Confidence interval is 95%

Z' = t(0.025)= 1.96

Confidence interval = x +/- Z'(r/√n)

= 12% +/- 1.96(4%/√60)

= 12% +/- 0.01214%

Confidence interval= (10.988% to 13.012%)

3 0

3 years ago

A typical tip in a restaurant is 18% of the bill. If the bill is 150,what would the typical tip be

Natasha_Volkova [10]

You want to leave a 18% tip on a meal that cost $150.

First, convert the 18% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 18%) by 100%.So, the conversational term "18%" becomes 18% / 100% = 0.18 in terms of a real mathematical number.

Second, you need to find out what 18% of your $150 meal cost is.This is always done by multiplying 0.18 by $150.00, or

0.18 x $150.00=$27.00.

So, the amount of tip you are going to leave is $27.00.

This makes the total cost of your meal (to write on your charge slip or other payment)

$150.00 + $27.00 = $177.00.

-By TheRealMarinette

Please do not copy N Paste This Answer.

8 0

2 years ago

A sequence of 1 million iid symbols(+1 and +2), Xi, are transmitted through a channel and summed to produce a new random variabl

Zigmanuir [339]

Answer:

E(w) = 1600000

v(w) = 240000

Step-by-step explanation:

given data

sequence = 1 million iid (+1 and +2)

probability of transmitting a +1 = 0.4

solution

sequence will be here as

P{Xi = k } = 0.4 for k = +1

0.6 for k = +2

and define is

x1 + x2 + ................ + X1000000

so for expected value for W

E(w) = E( x1 + x2 + ................ + X1000000 ) ......................1

as per the linear probability of expectation

E(w) = 1000000 ( 0.4 × 1 + 0.6 × 2)

E(w) = 1600000

and

for variance of W

v(w) = V ( x1 + x2 + ................ + X1000000 ) ..........................2

v(w) = V x1 + V x2 + ................ + V X1000000

here also same as that xi are i.e d so cov(xi, xj ) = 0 and i ≠ j

so

v(w) = 1000000 ( v(x) )

v(w) = 1000000 ( 0.24)

v(w) = 240000

8 0

3 years ago

Jessica had m beads. She used 18 of them to make a necklace for her mom. Then she used the rest to make k bracelets for her frie

Y_Kistochka [10]

The expression to represent this would be (m-18)/k.

We first subtract the 18 beads she used in her mother's bracelet from her beginning number, m. We then divide our result by k, the number of bracelets she made for her friends.

3 0

3 years ago