1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pantera1 [17]
3 years ago
5

The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with me

an 266 days and standard deviation 16 days.
Required:
a. How short are the shortest 2.5% of all pregnancies?
b. Between what values do the lengths of the middle 95% of all pregnancies fall?
c. How long do the longest 2.5% of pregnancies last?
Mathematics
1 answer:
inn [45]3 years ago
4 0

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Mean (m) = 266 days

Standard deviation (s) = 16 days

A.) p(( Z ≤ (x - m) /s) = 2.5%

p(( Z ≤ (x - 266) /16) = 0.025

(x - 266) /16 = - 1.96 (Z probability calculator)

x - 266 = - 31.36

x = - 31.36 + 266

x = 234.64

B.)

p(( Z ≤ (x - m) /s) = 2.5%

p(( Z ≤ (x - 266) /16) = 0.025

(x - 266) /16 = - 1.96 (Z probability calculator)

x - 266 = - 31.36

x = - 31.36 + 266

x = 234.64

p(( Z ≤ (x - m) /s) = 2.5%

p(( Z ≤ (x - 266) /16) = 0.025

(x - 266) /16 = 1.96 (Z probability calculator)

x - 266 = 31.36

x = 31.36 + 266

x = 297.36

Hence,

234.64 < x <297.36

C.)

p(( Z ≤ (x - m) /s) = 2.5%

p(( Z ≤ (x - 266) /16) = 0.025

(x - 266) /16 = 1.96 (Z probability calculator)

x - 266 = 31.36

x = 31.36 + 266

x = 297.36

You might be interested in
Please need help 20 points
german

tte corresponding angle is angle 5

3 0
3 years ago
Read 2 more answers
Which of the following numbers can be expressed as a decimal that terminates?
Shtirlitz [24]
3 over 2 and 3 over 4 (1.5 and .75)
7 0
3 years ago
Read 2 more answers
I need a bit of help on BOTH of these. Anyone?
Leona [35]

Answer:

5) "C"

6) DOMAIN: {-3,-1,2,4,6}

    RANGE:   {4,1,2,-2,6}

Step-by-step explanation:

3 0
3 years ago
A random sample of 20 houses selected from a city showed that the mean size of these houses is 1880 square feet with a standard
azamat

Answer:

Option C

Step-by-step explanation:

Given that for a  random sample of 20 houses selected from a city showed that the mean size of these houses is 1880 square feet with a standard deviation of 320 square feet.

X, the sizes of houses is Normal

Hence sample mean will be normal with

Mean = 1880

and std dev = \frac{320}{\sqrt{20} } \\=71.5542

For 90% confidence interval critical value for t with degree of freedom 19 is

1.328

Confidence interval upper bound

= mean + margin of error

= 1880+1.328*71.55\\=1975

Option C is right

3 0
3 years ago
(please help and explain) <br> will mark brainliest!!
9966 [12]

Answer:

x = 40

Step-by-step explanation:

Angles SRT and STR are congruent, so they have the same measure.

The measure of <SRT is 20, so the measure of <STR is also 20.

Angles STR and STU form a linear pair. Two angles that form a linear pair are supplementary, so their measures add up to 180.

m<STR + m<STU = 180

20 + 4x = 180

4x = 160

x = 40


7 0
3 years ago
Other questions:
  • (PLEASE HELP) 40 points + brainy
    6·2 answers
  • Can someone help me with these?? I am really confused
    9·1 answer
  • PLEASE HELP ME THIS IS FOR A TEST GRADE !!!!! AND I NEED HELP ASAP
    7·2 answers
  • Please help me with this Geometry question
    13·1 answer
  • In order to maximize the chances that experimental groups represent the population of interest, researchers should conduct _____
    8·1 answer
  • Percent error that is greater than 20% but less than 50%
    15·2 answers
  • Which expression is equivalent to third- 32^3/5 ​
    8·1 answer
  • Substitute x=-2y into the expression 6x-7 and simplify
    11·2 answers
  • 15/20÷8/20<br><br>PLSS HELP​
    13·2 answers
  • Simplify ( 3x + 3 )^2
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!