Answer:
<D is congruent to <B
Step-by-step explanation:
They both have the 3 lines indicated on them
X - y = 5
x = y + 5
y = x - 5
D2x/dt2=-g (which we'll approximate as a constant -32ft/s^2)
d2x/dt2=-32 integrating we get:
dx/dt=-32t+C, where C is the initial velocity which we are told is 128ft/s so
dx/dt=-32t+128, integrating again we get:
h(t)=-16t^2+128t+C, where C is the initial height of the object..which we are told is 136 ft so
h(t)=-16t^2+128t+136 if we factor the first two terms we get:
h=-16(t^2-8t)+136
Answer:
1/5
Step-by-step explanation:
Range as a measure of central tendency is the difference between the highest value and the lowest value in a given set of data.
Given the samples 0,1,3,4,7
Total number of samples is 5
The range is gotten by taking the difference of 2 samplesout of 5samples and this can be done in 5C2 ways.
5C2 = 5!/(5-2)!2!
= 5!/3!2!
= 5×4×3!/3!×2
= 10ways
The total outcome is therefore 10
To get the probability that the range is 4, we need to get the required outcome of getting range of 4 and this can only occur twice
The range can be gotten by taking the difference between 7 and 3, it can also be gotten by taking the difference between 4 and 0. Both differences will give us a total of 4
The expected outcome is therefore 2
the probability that the range of the sample is 4 = expected outcome/total outcome
= 2/10
= 1/5
Answer:
See it in the pic
Step-by-step explanation:
See it in the pic