Which diagram represents the net of a cube? Circle all that apply.

Penelope invested 60% of her retirement account in stocks and 40% in gold. Penelope believes that the return to stocks over the

hjlf

Answer:

1) mean = 21, standard deviation σ = 21.9317

2) the probability that Penelope's portfolio will earn at least 12% in the next 12 months is 0.6591

Step-by-step explanation:

Given the data in the question;

1. According to Penelope's beliefs, what are the mean rate of return and the standard deviation of return of her portfolio?

Mean μ = Return = ( 60% × 15) + ( 40% × 30 ) = 9 + 12 = 21

mean = 21

standard deviation σ = √( (0.6² × 25²) + ( 0.4² × 40² ) )

standard deviation σ = √( (0.36 × 625) + ( 0.16 × 1600 ) )

standard deviation σ = √( 225 + 256 )

standard deviation σ = √481

standard deviation σ = 21.9317

2) What is the probability that Penelope's portfolio will earn at least 12% in the next 12 months

so we are to find P( X > 12 )

converting into standard normal variable;

⇒ P( Z > X-μ / σ )

= P( Z > ( 12-21 / 21.9317 ) )

= P( Z > ( -9 / 21.9317 ) )

= P( Z > -0.41 )

FROM z-score table; P( Z > -0.41 ) is 0.3409

P( X > 12 ) = 1 - 0.3409

P( X > 12 ) = 0.6591

Therefore, the probability that Penelope's portfolio will earn at least 12% in the next 12 months is 0.6591

3 0

3 years ago

Does the table represent a function, -3, 6, -2,9, 0,4, -2,5

Ronch [10]

Answer:

No. There are two solutions to the point x=-2: 9 and 5.

Step-by-step explanation:

Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, for the same x position, then the graph is not a function.

3 0

3 years ago

Round $26.472 to the nearest cent

ella [17]

$26.47 is the answer. You can not have .472 cents when it comes to money. The most decimal places you will have is 2.

4 0

3 years ago

Which expression can be expanded using the binomial theorem?

kirill [66]

Answer:

The third choice: (x² - 1)³

Step-by-step explanation:

That is the only expression that is a binomial. Binomial means "two numbers". For this expression, x² is one number, and -1 is the other. Choice 1 is a monomial (one number) and choices 2 and 4 are trinomials (three numbers)

7 0

3 years ago

1. At the local school there were 28 girls that tried out for the girl's basketball team and 12 of

astra-53 [7]

Answer:

No, the ratios of the number of students on the team to the number of students trying out the same for both the boys and the girls are not same.

Step-by-step explanation:

Finding ratio of of the number of girls students on the team to the number of students trying

Total girls who tried = 28

No of girls selected in team = 12

$Ratio =\frac{12}{28}\\=\frac{6}{14}\\=\frac{3}{7}$

Finding ratio of of the number of boys students on the team to the number of students trying

Total Boys who tried = 30

No of boys selected in team = 15

$Ratio = \frac{15}{30}\\=\frac{1}{2}$

No, the ratios of the number of students on the team to the number of students trying out the same for both the boys and the girls are not same.

Keywords: Ratio

Learn more about Ratio at:

#learnwithBrainly

8 0

3 years ago