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umka21 [38]
4 years ago
12

The mean of four numbers is 7. Three of the numbers are 2, 5, and 17. What is the fourth number?

Mathematics
1 answer:
Temka [501]4 years ago
6 0

Answer:

If the mean of four numbers is 7, we know that their sum is 7 * 4 = 28. We can use this information to find the last number. If the fourth number is x, we can write:

2 + 5 + 17 + x = 28

24 + x = 28

x = 4

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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

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8 0
3 years ago
Which statement is true?
Lisa [10]

Option B is the answer

Step-by-step explanation:

Assuming it is a geometric series

A geometric series will converge if -1< r < 1 written as |r| < 1 .That is if the common ratio is between -1 and 1 like 1/2...For example : 1/2 + 1/4 + 1/8 + ...

if the common ratio, r is greater than 1 or less than -1, the terms of the series become larger and larger in magnitude. The sum of the terms also gets larger and larger, and the series has no sum. The series diverges. For example : 4+ 40+ 400+ 4000 +... The common ration here is 10 and the series diverges. That implies that option C and D are out

For example :

If is r is equal to 1 , that is |r|=1 , all of the terms of the series are the same. For example , 2+2+2+2+... The series diverges.

And the first term doesn't affect the convergence of the series..that implies that option A is out

A series converges if and only if the absolute value of the common ratio is less than one: |r|<1

5 0
4 years ago
What is the measure of x? (Geometry question involving circles...)
marusya05 [52]

Answer:

If I am correct it is either 344 degrees or 172 degrees because the highlighted area only takes over half of the circle meaning it has to be 172 or 344 as it is the only numbers over or close to 180 degrees

Hope this Helped!

3 0
3 years ago
Circle X is shown. Line segments W X and Y X are radii. Tangents W Z and Y Z intersect at point Z outside of the circle. Arc W Y
In-s [12.5K]

Answer:

71

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Select all that are undefined. sec (45°) csc (0°) sec (90°)
Murrr4er [49]

Answer:

csc (0°) and sec (90°) are not defined.

Step-by-step explanation:

Given the options wehave to select the option which is undefinesd

First option: sec 45°

sec45^{\circ}=\frac{1}{cos(45^{\circ})}=\frac{1}{\frac{1}{\sqrt2}}=\sqrt2

which is defined

Second option: csc(0°)

csc(0^{\circ})=\frac{1}{sin0}=\frac{1}{0}=\infty

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Third option: sec(90°)

sec(90^{\circ})=\frac{1}{cos(90)}=\frac{1}{0}=\infty

which is not defined.

Hence, option 2 and 3 are not defined.

3 0
3 years ago
Read 2 more answers
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