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
nikdorinn [45]
3 years ago
11

The lengths of pregnancies in a small rural village are normally distributed with a mean of 261 days and a standard deviation of

17 days.
In what range would you expect to find the middle 98% of most pregnancies?


Between ___ and ___ .



If you were to draw samples of size 47 from this population, in what range would you expect to find the middle 98% of most averages for the lengths of pregnancies in the sample?


Between ___ and ____ .
Mathematics
1 answer:
valina [46]3 years ago
8 0

Answer:

(221.39, 300.61) and (255.2223, 266.7777)

Step-by-step explanation:

Given that X, the  lengths of pregnancies in a small rural village are normally distributed with a mean of 261 days and a standard deviation of 17 days

Middle 98% would lie on either side of the mean with probability ±2.33 in the std normal distribution on either side of 0

Corresponding we have x scores as

Between 261-2.33*17 and 261+2.33*17

i.e. in the interval = (221.39, 300.61)

If sample size = 47, then std error of sample would be

\frac{17}{\sqrt{47} }

So 98% of pregnancies would lie between

261-2.33*\frac{17}{\sqrt{47} } and 262+2.33*\frac{17}{\sqrt{47} }

= (255.2223, 266.7777)

You might be interested in
Simplify:<br> 3 [23 + (4 – 2)3 – (6 - 2)2]<br> A. 3<br><br> B. 12<br> D. 24<br><br> E-3
diamong [38]

Answer:63

Step-by-step explanation:

4 0
3 years ago
The ratio of the measures of the three angles in a triangle is 9:3:6.
Alex

Step-by-step explanation:

this is how you solve it :)

5 0
2 years ago
Need help with mathematics,can you help me? Ohh please answer this​
asambeis [7]

Answer:

see explanation

Step-by-step explanation:

The largest angle is opposite the largest side and the smallest angle is opposite the shortest side.

Δ FUN

largest angle is ∠ FUN ( opposite FN )

smallest angle is ∠ NFU ( opposite NU )

Δ GEO

largest angle is ∠ GEO ( opposite GO )

smallest angle is ∠ GOE ( opposite GE )

---------------------------------------------------------------------------

The longest side is opposite the largest angle and the shortest side is opposite the smallest angle.

∠ RTY = 180° - (70 + 55)° = 180° - 125° = 55°

Δ TRY is therefore isosceles with 2 congruent legs RT, RY

longest side is TY ( opposite 70° )

shortest sides are RT , RY ( opposite 55° )

8 0
3 years ago
Solving this system using substitution: 2x+6y=28/y=-5x
AnnyKZ [126]
X=-1 and y=5
As when u replace the values x will give you negative 1 and when u replace negative 1 in y=-5x you get 5
7 0
3 years ago
A house appreciates (grows in value) about 6% each year. If the house is now worth 158,000, in about how many years will it be w
expeople1 [14]
200,000 = 158,000(1.06)^x
Divide both sides by 158,000
1.2658 = 1.06^x
Take the log of both sides and use the power rule to bring down the exponent (x) to the front.
log 1.2658 = x log 1.06
Divide both sides by log 1.06
log (1.2658)/log(1.06) = x
x = 4 years

CHECK
y = 158,000(1.06)^4
y = 199,471.36
8 0
3 years ago
Other questions:
  • The equation R=10a-20 represents the revenue R (in dollars) you make by spending A dollars on advertising. You revenue totaled $
    6·2 answers
  • Identify f (x)=3x2+8x+4
    8·1 answer
  • What is the greater two years for 14 months
    13·1 answer
  • Write the slope intercept form of the equation of the line through the given point with the given slope
    13·1 answer
  • What is:<br> <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B4x%5E%7B2%7D%20-20x%2B25%20" id="TexFormula1" title=" \sqrt{4x^{2} -
    5·1 answer
  • The correlation coefficient for blood pressure and amount of vegetables eaten in a group of people is −0.7. Analyze the followin
    11·1 answer
  • At this rate, how much would 6 bagels cost?
    11·1 answer
  • Hasil dari 4x + 4xy -2x +7xy=​
    5·1 answer
  • At Ever Lake it costs $12 per hour to rent a canoe. Jared aand his friends rented a canoe for 4 hours and paid $68. Write an equ
    7·1 answer
  • What relationship is shown in the graph
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!