Answer:
x =
, y = 6
Step-by-step explanation:
5x + y = 7 → (1)
20x + 2 = y → (2)
Substitute y = 20x + 2 into (1)
5x + 20x + 2 = 7
25x + 2 = 7 ( subtract 2 from both sides )
25x = 5 ( divide both sides by 25 )
x =
= 
Substitute this value into (2) and evaluate
20(
) + 2 = y
4 + 2 = y , so
y = 6
H(x)=-16t^2+300
The average rate is the change in h divided by the change in t, mathematically:
r=(h(3)-h(0))/(t2-t1), in this case:
r=(-16*9+300-0-300)/(3-0)
r=-144/3
r= -48 ft/s
There were 9 passengers on the bus because no passengers got off during the six stops and the fifth stop is within that.
Answer:
Talking 65 minutes, $ 6.50 must be paid.
Step-by-step explanation:
Since your cell phone plan is by the minute, and each minute of use cost $ 0.10, to create a relation that represents the amount spent, A, per minute, m, of call time, and then use the relation to find the amount spent if you talk 65 minutes, the following calculations must be performed:
0.10 x M = A
0.10 x 65 = A
6.50 = A
Thus, talking 65 minutes, $ 6.50 must be paid.
Answer:
The 95% confidence interval of the true mean.
(29.4261 ,36.9739)
Step-by-step explanation:
<u>Step :- (i)</u>
Given sample size 'n' =15
sample of the mean x⁻ = 33.2
The standard deviation of the sample 'S' = 8.3
<u>95% of confidence intervals</u>
<u></u>
<u></u>
<u>Step:-(ii)</u>
<u>The degrees of freedom γ=n-1 = 15-1=14</u>
The tabulated value t = 1.761 at 0.05 level of significance.
now substitute all possible values, we get

After calculation , we get
(33.2-3.7739 , 33.2+3.7739
(29.4261 ,36.9739)
<u>Conclusion</u>:-
the 95% confidence interval of the true mean.
(29.4261 ,36.9739)