Answer:
See below.
Step-by-step explanation:
D(t) = 3260 - 55t
The function that shows their distance from home as a function of time shows that they started 3260 miles from home and are driving at 55 miles per hour.
part a:
D(12) = 3260 55(12)
D(12) = 3260 - 660
D(12) = 2600
Interpretation: After 12 hours of driving home, they are 2600 miles from home.
part b:
D(t) = 2490
3260 - 55t = 2490
-55t = -770
t = 14
Interpretation: When they are 2490 miles from home, they have driven for 14 hours.
confidence interval for the mean battery life in the new model is [7.9489, 8.3045].
What is confidence interval ?
A confidence interval, in statistics, refers to the chance that a population parameter can fall between a collection of values for an exact proportion of times.
Main body:
Formula for confidence interval is =
CI = x- bar ± z*s/√n where,
CI = confidence interval
x- bar = sample mean
z = confidence level value
{s} = sample standard deviation
{n} = sample size
given ;
n = 6
mean = (8.23+7.89+8.14+8.25+8.30+ 7.95)/6
= 8.127
value of z for 95% C.I. = 1.96
C.I. = 8.127 ± 1.96 * 0.22/√6
C.I. = 8.127 ± 0.1781
C.I. =[7.9490, 8.3044]
Hence correct option is A.
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Answer:
Step-by-step explanation:
Remark
Read the following carefully.
There is a beautiful theorem that has to do with the endpoints of two angles sharing the same endpoints.
To be a little clearer, I hope, that makes < BAC = <BDC because both angles have B and C as their endpoints inside the circle. Make sure you understand that statement before moving on.
For this problem <BDC = <CAB = 33 degrees.
That means that ADC = 37 + 33 = 70
Solution
<ADC and CBA are opposite angles.
That means that they add to 180
From the above statement in the Remark section <ADC = 37 + 33 = 70 degrees <ABD + <DBC = <ABC = m + 71
<ABC + ADC = 180
m + 71 + 70 = 180 Combine
m + 141 = 180 Subtract 141 from both sides.
m+141-141= 180 - 141 Combine
m = 39
Answer: m = 39
Answer with Step-by-step explanation:
Since we have given that
Initial velocity = 50 ft/sec = 
Initial height of ball = 5 feet = 
a. What type of function models the height (ℎ, in feet) of the ball after tt seconds?
As we know the function for height h with respect to time 't'.
b. Explain what is happening to the height of the ball as it travels over a period of time (in tt seconds).
What function models the height, ℎ (in feet), of the ball over a period of time (in tt seconds)?
if it travels over a period of time then time becomes continuous interval . so it will use integration over a period of time
Our function becomes,
