Translate the word phrase into a math expression.<br><br> three times the sum of a number and four.

Irina-Kira [14]

Find 1 on the x axis and go up 1 on the y axis.
Find 5 on the x axis and go up 1. you should now have two plotted points

7 0

2 years ago

Suppose that you need to create a list of n values that have a specific known mean. Some of the n values can be freely selected.

Leno4ka [110]

As the problem indicates, degrees of freedom are the number of values that can be independently selected before it is necessary to choose specific values to arrive at the desired result.

The average, on the other hand, results from the sum of a list of values divided by the amount of values in the summed list.

Assume that the mean sought is $x$ and consider that the list is composed of a single element $a$ , in that case no random number can be selected, since the mean $x$ must correspond to that number.

If the list were composed of two elements $a$ and $b$ , one of the two values could be chosen randomly, and according to the chosen value the second should be the one whose sum with the previous one results in $2x$ , this given that the formula of the average $\sum\limits_{i=1}^n \frac{ x_{i}}{n}$ .

With three values $a$ , $b$ and $c$ , it is possible to select two freely, since the thirteen must be the one that balances the sum of $a+b$ , that is $(a + b) + c = 3x$ .

Thus, in general, with n values, it is possible to select $n-1$ values freely whose sum must be balanced by the last value so that the whole sum is $nx$ .

Answer

In a list of $\bf{n}$ values you can assign $\bf{n-1}$ values freely, that is, you have $n-1$ <em>degrees of freedom.</em>

6 0

2 years ago

Treasury bills are paying a 4% rate of return. A risk-averse investor with a risk aversion of A = 1.85 should invest entirely in

kumpel [21]

Answer:

14.656%

Step-by-step explanation:

Data provided in the question:

Rate of return, r = 4% = 0.04

Risk aversion of A = 1.85

Standard deviation, σ = 24%

Now,

we have the relation

A = (E - r) ÷ σ²

E = expected return on portfolio

r = Risk free rate

on substituting the respective values, we get

1.85 = (E - 0.04) ÷ (0.24)²

or

0.0576 × 1.85 = (E - 0.04)

or

0.10656 + 0.04 = E

or

E = 0.14656 or

E = 0.14656 × 100% = 14.656%

8 0

2 years ago

Plz help

jasenka [17]

Answer: the answer is 19.6

Step-by-step explanation:

just add up by each number, for example 5.6+3 miles is 8.6 miles so just keep adding up the miles to get this answer

3 0

2 years ago

I need help figuring out when to use law of sine or law of cosine?

irina [24]

When you have angle and its corresponding (opposite) side then you need to use law of sin. Problems 3,4,5(in 5 you need at first find angle X=180-92-62)

when you have two sides and angle between them, this is law of cos, problem 6,8

problem 7 you can use both, but if you can use both better to use law of sin, it is just easier

4 0

2 years ago

Translate the word phrase into a math expression. three times the sum of a number and four.