Answer:
For this case the confidence interval is given by :
Step-by-step explanation:
Data provided
represent the sample mean for the fuel efficiencies
population mean
s=2.51 represent the sample standard deviation
n=601 represent the sample size
Confidence interval
The formula for the confidence interval of the true mean is given by:
(1)
The degrees of freedom for this case is given by:
The Confidence level for this case is 0.95 or 95%, and the significance level and and the critical value is given by
Replcing into the formula for the confidence interval is given by:
For this case the confidence interval is given by :
Answer:
X= 10
Step-by-step explanation:
let the vertex of angle 17° named A
then the other two B and C
then by using trigonometry:
sin(A) = opposite side divided by hypotenuse
opposite side is. X
Wich makes Sin(A) = X/47
then by crossing X= sin(A) × 47 = 13.74147
rounding to the nearest tenth: X= 10
Answer:
C) SSS
Step-by-step explanation:
<em>SSS</em> stands for "<em>side, side, side</em>" and means that we have two triangles with all three sides equal.
If three sides of one triangle are equal to three sides of another triangle, the triangles are <em>congruent</em>.
Answer:
37
Step-by-step explanation:
Given :
Sample size, n = 128
Mean, μ = 18
Standard deviation, σ = 5.4
Number of people who lost atleast 15 pounds :
The Zscore = (x - μ) / (σ)
Zscore = (15 - 18) / 5.4
Zscore = - 3 / 5.4
Zscore = - 0.5555
P(Z < - 0.555) = 0.28945
Number of people who lost atleast 15 pounds :
0.28945 * 128 = 37.0496
= 37 people
Using the formula a^2+b^2=c^2you can fill in the numbers so that a=height of mattress in inches,b=40 inches or distance from base of the bed and c=48 or length of the ramp. a^2+40^2=48^2a^2+1600=2304
So then it becomes2304-1600=a^2704=a^2 26.5+=aSo, The top of the mattress(after rounding) is 26.5 inches off the ground.