The speed of the ball is
ds/dt = 32t
At t =1/2 s
ds/dt = 16 ft/s
The distance from the ground
50 - 16(1/2)^2 = 46 ft
The triangles formed are similar
50/46 = (30 + x)/x
x = 345 ft
50 / (50 - s) = (30 + x)/x
Taking the derivative and substituing
ds/dt = 16
and
Solve for dx/dt
Initial cost = $30,000
Depreciation rate = 2.5%
Depreciation expense per year = 30,000*2.5/100 = $750
In six years,
Depreciation = 6*750 = $4,500
Value of the tractor = Initial cost - Depreciation = $30,000 - $4,500 = $25,500
Answer:
a. 8 outcomes
b. Discrete Variable
c. See explanation below
Step-by-step explanation:
a.
Let N = No Offers made
Let Y = Offers made
The Expected outcome are as follows:
NNN, NNY, NYN, YNN, NYY, YNY, YYN, YYY
= 8
b.
Let x = number of offers made
X is said to be discrete if x can take values that are restricted to a defined or limited values
X is said to be continuous if x can take a range of values that is not restricted to any range(i.e. continuous)
Looking at the brief description above, we can conclude that x is discrete
c.
NNN, 0
NNY, 1
NYN, 1
YNN, 1
NYY, 2
YNY, 2
YYN, 2
YYY, 3
Where 0 to 3 represents number of offers at every instance
The data given on the table about the ten participants in the health study shows that B. The post-run mean and median are the same value.
<h3>What is the post run mean?</h3>
This can be found as:
= (87 + 95 + 96 + 101 + 110 + 104 + 100 + 101 + 90 + 96) / 10
= 98
<h3>What is the post run median?</h3>
First order the pulses from smallest to largest:
= 87, 90, 95, 96, 96, 100, 101, 101, 104, 110
The two digits in the middle are:
96 and 100
The median will be:
= (96 + 100) / 10
= 98
In conclusion, option B is correct.
Find out more on the median at brainly.com/question/396397.
Answer:
C. 1 2/3
Step-by-step explanation:
5 - 3 1/3
We can also convert 5 into a fraction with the same denominator like this:
Since we’re trying to make 5 a fraction with a denominator of 3, leave 4 as the whole number and 3/3 as the fraction
4 3/3
4 3/3 = 5 because 3/3 = 1 and 4 + 1 = 5
Now we can subtract!
4 3/3 - 3 1/3 = 1 2/3
Step 1. Subtract the whole numbers
Step 2. Subtract the numerator
Step 3. Leave the answer with the same denominator
