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2 years ago

The mean and standard deviation of a normal distribution are 150 and 12

Mathematics

1 answer:

fomenos2 years ago

6 0

a) (150 - 138) / 12 = 1 deviation or 34%

(162 - 150) / 12 = 1 deviation or 34%

34% + 34% = 68%

b) (150 - 126) / 12 = 2 deviations or 47.5%

(174 - 150) / 12 = 2 deviations or 47.5%

47.5% + 47.5% =95%

c) (150 - 126) / 12 = 2 deviations or 47.5%

(162 - 150) / 12 = 1 deviation or 34%

47.5% + 34% = 81.5%

d) (162 - 150) / 12 = 1 deviation or 34%

(174 - 150) / 12 = 2 deviations or 47.5%

This problem is a little different. We have to subtract 34% from 47.5%

47.5% - 34% = 13.5%

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Can someone explain how to find z?

Julli [10]

The vlaue of z is 27°

Step-by-step explanation:

Given,

The angle is 63°

To find the value of z

We know that the diagonals of rhombus perpendicularly bisect each other.

Again,

z+63°+90° = 180° [ sum of all the triangle is 180°]

or, z = 27°

6 0

2 years ago

Interpreting composite functions in the real world The volume of air in a balloon is represented by the function v(r)=4/3 ³, whe

adoni [48]

There are two true statements:

When the function is composed with r, the composite function is V(t) = (1/48) · π · t⁶.
V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.

<h3>How to use composition between two function</h3>

Let be f and g two functions, there is a composition of f with respect to g when the domain of f is equal to the range of g. In this question, the domain variable of the function V(r) is replaced by substitution.

If we know that V(r) = (4/3) · π · r³ and r(t) = (1/4) · t², then the composite function is:

V(t) = (4/3) · π · [(1/4) · t²]³

V(t) = (4/3) · π · (1/64) · t⁶

V(t) = (1/48) · π · t⁶

There are two true statements:

When the function is composed with r, the composite function is V(t) = (1/48) · π · t⁶.
V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.

To learn on composition between functions: brainly.com/question/12007574

#SPJ1

7 0

1 year ago

Martin deposits $200 in a savings account that earns 5% annual interest. four years later, cary deposits $200 in an account earn

Scrat [10]

Martin deposits $200 in a savings account that earns 5% annual interest.

year interest balance

1 200 * 5% 200(1.05)

2 200(1.05) * 5% 200(1.05)^2

3 200(1.05)^2*5% 200(1.05)^3

y 200(1.05)^y

=> m = 200 (1.05)^y

four years later, cary deposits $200 in an account earning the same interest.


year interest balance

5 200 * 5% 200(1.05)

6 200(1.05) * 5% 200(1.05)^2

7 200(1.05)^2*5% 200(1.05)^3

y 200(1.05)^(y-4)

=> c = 200(1.05)^ (y-4)

Answer:
Martin: 200(1.05)^y
Cary: 200(1.05)^(y–4)

3 0

2 years ago

Read 2 more answers

In the 2014 - 2015 school year, the mean score on the critical reading of the SAT was 490 with a standard deviation of 102 for j

bonufazy [111]

Answer:

The Ranking Percentile is (B) 97.5%

Explanation :

To find the percentile rank we need to find the z- score. After finding the z-score match this value with the corresponding value in z-score table.

Formula to find the z-score

Z-score= $\frac{\text { scored obtained - mean }(\mu)}{\text { standard deviation }(\sigma)}$

Substituting the values in the above equation, we find

Z-score= $\frac{(694-490)}{102}$ =2

So, the Z-score is +2

Now, the corresponding value of Z-score 2 in the table is 0.9772

or the percentile score is 97.72 ~ 97.5 .

3 0

3 years ago

Will, Micah and sue went to dinner. Will paid 1/3 of the dinner bill. Micah and sue paid in the ratio of 2:5. If sue paid $6 mor

seraphim [82]

Cost = c
names are abbreviated

w = 1/3c

s = 1/3c + 6

from here i cant go further because i don't know what the numbers mean in the 2:5 ratio. but i will continue if u tell me. for example, could it be the paid cost to the total cost ratio?

6 0

3 years ago