Answer:
- Josh's book lands first
- Ben's lands about 0.648 seconds later
Step-by-step explanation:
Using the given equation for v=60 and s=40, the height of Ben's book is ...
h(t) = -16t² +60t +40
We want to find t when h(t) = 0, so we're looking for the solution to ....
0 = -16t² +60t +40
Using the quadratic formula, we find the positive value of t to be ...
t = (-60 -√(60² -4(-16)(40)))/(2(-16)) = (15 +√385)/8 ≈ 4.3277
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Similarly, the height of Josh's book is ...
0 = -16t² +48t +40
t = (-48 -√(48² -4(-16)(40)))/(2(-16)) = (12 +√304)/8 ≈ 3.6794
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The time before Josh's book lands is shorter by ...
4.3277 -3.6794 ≈ 0.6482 . . . . . seconds
Josh's book reaches the ground first, by about 0.648 seconds.
Answer:
$1,920
Step-by-step explanation:
you multiply 12 by 40. then, assuming a typical month is 4 weeks, you multiply that number by 4.
Correlation between x & y is 0.6125.
In probability theory and statistics, the cumulative distribution function of a real-valued random variable X, or simply the distribution function of X weighted by x, is the probability that X takes a value less than or equal to x.
The cumulative distribution function (CDF) of a random variable X is defined as FX(x)=P(X≤x) for all x∈R. Note that the subscript X indicates that this is the CDF of the random variable X. Also note that the CDF is defined for all x∈R. Let's look at an example.
Learn more about cumulative distribution here: brainly.com/question/24756209
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Answer:
Large books = 11
Small books = 6
Step-by-step explanation:
7x + 5y = 107
7x = 107 - 5y
x = 107/7 - 5y/7
5x + 7y = 97
5 (107/7 - 5y/7) + 7y = 97
535/7 - 25y/7 + 7y = 97
535/7 + 24y/7 = 97
535 + 24y = 679
24y = 679 - 535
y = 144/24 = 6: So x =
7x + 5(6) = 107
7x = 107-30
x = 77-7 = 11
