Answer: provided in the explanation segment
Step-by-step explanation:
(a). from the question, we can see that since that б is known, we can use standard normal, z.
we are asked to find an 80% confidence interval for the average weights of Allen's hummingbirds in the study region. What is the margin of error?
⇒ 80% confidence interval for the average weight of Allen's hummingbirds is given thus;
x ± z * б / √m
which is
3.15 ± 1.28 * 0.32/√10
= 3.15 ± 0.1295 = 3.0205 or 3.2795
(b). normal distribution of weight (c) б is known
(c). option (a) and (e) are correct
(d). from the question, let sample size be given as S
this gives';
1.28 * 0.32/√S = 0.15
√S = (1.28 * 0.32) / 0.15 = 2.73
S = 7.4529
cheers i hope this helps
Answer:
150 meters
Step-by-step explanation:
Since 1 x 30 gives the 30
5 x 30= 150
Answer:
a) 1 in : 6 in
b) P=32 inches
A =60 inches ^2
c) P= 16 ft
A = 15 ft ^2
Step-by-step explanation:
The drawing is 6 inches tall, while the real flag is 3 ft tall
Change ft to inches
3 ft * 12 inches/1ft = 36 inches
drawing : real life
6 36
Divide each by 6
1 6
The scale is 1 to 6
So for every 1 inch on the drawing, there is 6 inches in real life
b) P= 2(l+w) = 2(10+6) = 2(16) = 32 inches
A = l*w = 10*6 =60 inches ^2
C)
The drawing is 10 inches by 6 inches
Multiply by the scale factor of 6
Real life is 60 inches by 36 inches
Divide by 12 to get back to ft
5ft by 3 ft
P= 2(l+w) = 2(5+3) = 2(8) = 16 ft
A = l*w = 5*3 =15 ft ^2
Answer:
The original fraction is 13/27
Step-by-step explanation:
Let the fraction be x/y. This means that the numerator is x and the denominator is y.
One-fifth of the sum of the numerator and the denominator of a particular fraction is 8. This means that
1/5 (x+y) = 8
Cross multiplying with 5,
x+y = 5×8 = 40 - - - - - - - -1
If the numerator is subtracted from 22, the original fraction becomes 1/3. This means that
(22-x)/y = 1/3
Cross multiplying with y and 3,
3(22-x) = y×1
66-3x = y - - - - - -2
Substituting y = 66-3x into equation 1, it becomes
x + 66 - 3x = 40
x -3x = 40-66
-2x = -26
x = 26/2 = 13
y = 40 - x = 40 - 13
= 27
The original fraction is 13/27
