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2 years ago

Joy is helping her father to build a rectangular deck that measures 14 ft by 19 ft.

Mathematics

1 answer:

Helga [31]2 years ago

7 0

14 multiplied by 9 is 126
The answer is 126ft

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Sara bought a used car for $10,000. She learned from online that the value of a car depreciated 15% per year. What is the formul

Fudgin [204]

Answer:

Step-by-step explanation:

Value of Sam's car after t years =

= $=10000*(1-\frac{15}{100})^{t}\\\\=10000*(\frac{85}{100})^{t}\\\\=10000*(0.85)^{t}$

Value of Sam's car in 5 years=

$=10000*(0.85)^{5}\\\\=10000*0.4437\\\\$

= $ 4437

4 0

3 years ago

The market and Stock J have the following probability distributions:

denis-greek [22]

Answer:

1) $E(M) = 14*0.3 + 10*0.4 + 19*0.3 = 13.9 \%$

2) $E(J)= 22*0.3 + 4*0.4 + 12*0.3 = 11.8 \%$

3) $E(M^2) = 14^2*0.3 + 10^2*0.4 + 19^2*0.3 = 207.1$

And the variance would be given by:

$Var (M)= E(M^2) -[E(M)]^2 = 207.1 -(13.9^2)= 13.89$

And the deviation would be:

$Sd(M) = \sqrt{13.89}= 3.73$

4) $E(J^2) = 22^2*0.3 + 4^2*0.4 + 12^2*0.3 =194.8$

And the variance would be given by:

$Var (J)= E(J^2) -[E(J)]^2 = 194.8 -(11.8^2)= 55.56$

And the deviation would be:

$Sd(M) = \sqrt{55.56}= 7.45$

Step-by-step explanation:

For this case we have the following distributions given:

Probability M J

0.3 14% 22%

0.4 10% 4%

0.3 19% 12%

Part 1

The expected value is given by this formula:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And replacing we got:

$E(M) = 14*0.3 + 10*0.4 + 19*0.3 = 13.9 \%$

Part 2

$E(J)= 22*0.3 + 4*0.4 + 12*0.3 = 11.8 \%$

Part 3

We can calculate the second moment first with the following formula:

$E(M^2) = 14^2*0.3 + 10^2*0.4 + 19^2*0.3 = 207.1$

And the variance would be given by:

$Var (M)= E(M^2) -[E(M)]^2 = 207.1 -(13.9^2)= 13.89$

And the deviation would be:

$Sd(M) = \sqrt{13.89}= 3.73$

Part 4

We can calculate the second moment first with the following formula:

$E(J^2) = 22^2*0.3 + 4^2*0.4 + 12^2*0.3 =194.8$

And the variance would be given by:

$Var (J)= E(J^2) -[E(J)]^2 = 194.8 -(11.8^2)= 55.56$

And the deviation would be:

$Sd(M) = \sqrt{55.56}= 7.45$

8 0

3 years ago

Bottom#4 Which value represents the median from the box and whisker plot attached?

Andreyy89

Answer:

Step-by-step explanation:

the median is the line inside the box which is 84

8 0

3 years ago

Kaya rented a limousine. There was a one-time charge of $100 dollars, plus an hourly rate of $45. Her total cost for the night w

Umnica [9.8K]

Answer:

5 hours 30 minutes

Step-by-step explanation:

347.50-100 (initial fee)=247.50. 247.50/45= 5.5 hours

8 0

3 years ago

What is the value of x? Enter your answer in the box. x = ___

loris [4]

(x+4) / 44.8 = 35 / 56
56(x+4) = 35(44.8)
56x + 224 = 1568
56x = 1344
x = 24

answer
x = 24 mm

8 0

3 years ago