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3241004551 [841]
3 years ago
5

In the last quarter of​ 2007, a group of 64 mutual funds had a mean return of 4.8​% with a standard deviation of 5.8​%. If a nor

mal model can be used to model​ them, what percent of the funds would you expect to be in each​ region? Use the​ 68-95-99.7 rule to approximate the probabilities rather than using technology to find the values more precisely. Be sure to draw a picture first. ​a) Returns of 10.6​% or more ​b) Returns of 4.8​% or less ​c) Returns between negative 12.6​% and 22.2​% ​d) Returns of more than 16.4​%
Mathematics
1 answer:
saw5 [17]3 years ago
4 0

Answer:

a) 16%; b) 50%; c) 99.7%; d) 2.5%

Step-by-step explanation:

In a normal curve, the empirical rule states that 68% of data falls within 1 standard deviation of the mean.  This means for this problem, 68/2 = 34% of data falls from

4.8-5.8 = -1 to 4.8, and 34% falls from 4.8 to

4.8+5.8 = 10.6.

95% of data falls within 2 standard deviations of the mean.  This includes the 68%; this means this leaves 95-68 = 27/2 = 13.5% to fall from

-1-5.8 = -6.8 to -1, and 13.5% falls from 10.6 to

10.6+5.8 = 16.4.

99.7% of data falls within 3 standard deviations of the mean.  This includes the 95%; this means this leaves 99.7-95 = 4.7/2 = 2.35% to fall from

-6.8-5.8 = -12.6 to -6.8, and 2.35% falls from 16.4 to

16.4+5.8 = 22.2.

This leaves 100-99.7 = 0.3/2 = 0.15% to fall from the left end to -12.6, and 0.15% to fall from 22.2 to the right end.

For part a,

For returns of 10.6 or more, we would add everything above this value:

13.5+2.35+0.15 = 16%.

For part b,

Since 4.8 is the mean, 50% of data falls below this.

For part c,

-12.6 is 3 standard deviations from the mean, and 22.2 is 3 standard deviations from the mean.  This means that 99.7% of the data falls between these values.

For part d,

We add together all values above 16.4:  2.35+0.15 = 2.5%

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Gekata [30.6K]

Answer:14

Step-by-step explanation:

8 0
3 years ago
Directions: Compare the triangles and determine whether they can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL.
Naily [24]

Answer:

Description

Step-by-step explanation:

1. ASA

2. SSS

3. AAS

4. HL

5.  Cannot be determined

6. SAS

7. SSS

8. AAS

9. Cannot be determined

10. SAS

3 0
2 years ago
The Eagles basketball team scored 12 more than 2 times as many points in the last game of the season than in the first game. Whi
lesya692 [45]

Answer:

A. 12+2p

G. p+p+12

Step-by-step explanation:

The Eagles basketball team scored 12 more than 2 times as many points in the last game of the season than in the first game

Number of points scored in the last game of the season = 2p + 12

A. 12+2p

Equivalent

B. 2+p+12

= P + 14

Not equivalent

C. 2+12p

Not equivalent

D. p(2+12)

= 2p + 12p

Not equivalent

E. p+2+12

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F. 12p+2p

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3 0
2 years ago
WILL GIVE A BRAINLEST
Gnoma [55]

Answer: "No, the triangles are not necessarily congruent." is the correct statement .


Step-by-step explanation:

In ΔCDE, m∠C = 30° and m∠E = 50°

Therefore by angle sum property of triangles

m∠C+m∠D+m∠E=180°

⇒m∠D=180°-m∠E-m∠C=180°-30°-50°=100°

⇒m∠D=100°

In ΔFGH, m∠G = 100° and m∠H = 50°

Similarly m∠F +∠G+m∠H=180°

⇒m∠F=180°-∠G-m∠H=180°-100°-50=30°

⇒m∠F=30°

Now ΔCDE and ΔFGH

m∠C=m∠F=30°,m∠D=m∠G=100°,m∠E=m∠H=50°

by AAA similarity criteria  ΔCDE ≈ ΔFGH but can't say congruent.

Congruent triangles are the pair of triangles in which corresponding sides and angles are equal . A congruent triangle is a similar triangle but a similar triangle may not be a congruent triangle.


8 0
3 years ago
Read 2 more answers
If (a^x a ^y) - a^z = a^m then express m in terms of x, y and z.​
omeli [17]

Answer:

m = x+y-z

Step-by-step explanation:

Given the expression.

(a^x a ^y) ÷ a^z = a^m

We are to express m in terms of x, y and z.

Using the multiplicative law of indices, the expression becomes:

a^{x+y} ÷ a^z = a^m

Applying the division rule in indices

a^{x+y} ÷ a^z = a^{x+y-z}

The equation becomes

a^{x+y-z} = a^m

Cancel out the base and equate the powers as shown:

x+y-z = m

Hence the expression of m in terms of x, y and z is m = x+y-z

8 0
2 years ago
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