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crimeas [40]
3 years ago
6

A random sample of 11 fields of rye has a mean yield of 20.1 bushels per acre and standard deviation of 7.66 bushels per acre. D

etermine the 80% confidence interval for the true mean yield. Assume the population is approximately normal. Round your answer to one decimal place.
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
8 0

Answer:

17.1≤x≤23.1

Step-by-step explanation:

The formula for calculating the confidence interval is expressed as;

CI = x ± z*s/√n

x is the mean yield = 20.1

z is the 80% z-score = 1.282

s is the standard deviation = 7.66

n is the sample size =  11

Substitute

CI = 20.1 ± 1.282*7.66/√11

CI = 20.1 ± 1.282*7.66/3.3166

CI = 20.1 ± 1.282*2.3095

CI =  20.1 ±2.9609

CI = (20.1-2.9609, 20.1+2.9609)

CI = (17.139, 23.0609)

hence the required confidence interval to 1dp is 17.1≤x≤23.1

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A blueberry pie is shot out of a pie cannon from a height of 6m and with a velocity of 60 m/s. How many seconds will pass before
sveta [45]

Answer: 1.106 s

Step-by-step explanation:

This situation is related to projectile motion and one the equation that models the height of the blueberry pie in time is:

y=y_{o}+V_{o}sin(\theta) t-\frac{1}{2}gt^{2}

Where:

y=0 m is the blueberry pie final height (when it hits the ground)

y_{o}=6 m is the blueberry pie initial height

V_{o}=60 m/s is the blueberry pie initial velocity

\theta=0 \° is the angle, assuming the pie was shot horizontally

t is the time

g=9.8 m/s^{2} is the acceleration due gravity

Rewriting the equation:

0=y_{o}-\frac{1}{2}gt^{2}

Isolating t:

t=\sqrt{\frac{2y_{o}}{g}}

t=\sqrt{\frac{2(6 m)}{9.8 m/s^{2}}}

Finally:

t=1.106 s

5 0
3 years ago
Mari adds 4 spoons of honey to a pitcher of iced tea. Each spoonful holds 5 mL of honey How many mL of honey does Mari have in a
weeeeeb [17]

Alright, lets get started.

Mari adds 4 spoons of honey to a pitcher.

Each spoonful holds 5 mL of honey.

So, total ML of honey mari adds = 4 spoon * 5 ML = 20 ML

Answer : 20 mL of honey does Mari have in all.

Hope it will help :)

8 0
3 years ago
Factor <img src="https://tex.z-dn.net/?f=36x%5E%7B4%7D%20-4y%5E%7B2%7D" id="TexFormula1" title="36x^{4} -4y^{2}" alt="36x^{4} -4
irinina [24]
Sorry for the hand writing. But you want to factor out a 4y^2 which will result in (9y^2-1). Then you will factor out the equation in parentheses to (3y-1)(3y+1). Don’t forget to put the 4y^2 out front!

8 0
3 years ago
Read 2 more answers
What is 38,800 rounded to the nearest hundred mark all that apply?
SashulF [63]
38,800 is the answer

4 0
3 years ago
The ratio of 3 km to 1800 m is​
Ugo [173]
5 : 3


D1 = 3km = 3000 m (1km = 1000m)
D2 = 1800m


Ratio of D1:D2
=3000/1800
=1000/600 (dividing by 3)
=10/6 (dividing by 100)
=5/3 (dividing by 2)

= 5 : 3
6 0
3 years ago
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