Answer:
30
Step-by-step explanation:
Given :
Mean, m = 30 metric tons
Standard deviation (s) = 1.5 metric ton
Sample size, n = 4
Since the impact force in the test model is normally distributed, the shape of the sampling distribution will also be approximately normal with a mean equal to the mean of the test model.
Hence, the sample mean impact force will be equal to the population mean.
Therefore, sample mean = 30 ; population mean = 30
Answer:
1/4 of a mile in 1/10 of an hour
you can set up a proportion
(1/4)/(1/10)=2/H
you can now simplify or cross multiply
simplifying the left side
(1/4) divided by (1/10) equals (1/4) times (10/1)
(1/4)*(10/1)=10/4=5/2
5/2=2/H
cross multiply
5H=2*2
5H=4
H=4/5 of an hour or (4/5)*60=48 minutes
another solution...
2/(1/4)=8 and 8*(1/10)=8/10=4/5 of an hour or 48 minutes again
<u>Answer:</u>

Initial value: 250
Decay
Decay rate: 11%

Initial value: 40
Growth
Growth rate: 11%
<u>Step-by-step explanation:</u>
The function we have on the left of the table is:

<u>Initial value</u> (when x = 0): 
y = 250 (initial value)
Growth or Decay: 0.89 < 1 so decay
Decay rate: (1 - 0.89) * 100 = 11%
Function on right side:

<u>Initial value</u> (when x = 0): 
y = 40 (initial value)
Growth or decay: 1.11 > 1 so growth
Growth rate: (1.11 - 1) * 100 = 11%
Answer:
x = 23
y = 110
Step-by-step explanation:
70 and 3x+1 are alternate exterior angles and that means they are equal
70 =3x+1
Subtract 1 from each side
69 = 3x
Divide by 3
69/3 =3x/3
23 =x
70 and y are same side exterior angles and that means they are supplementary ( add to 180)
70+y = 180
y = 180-70
y = 110
What is 7x30 = 7 x --- tens = --- tens = ---