Answer:
cosine = adjacent / hypotenuse
cosine 62º = JL / 17
JL = cosine 62º * 17
JL = .47 * 17
JL = 7.99
JL = 8.0
Step-by-step explanation:
Answer:
Step-by-step explanation:
given that certain tubes manufactured by a company have a mean lifetime of 800 hours and a standard deviation of 60 hours.
Sample size n =16
Std error of sample mean = 
x bar follows N(800, 15)
the probability that a random sample of 16 tubes taken from the group will have a mean lifetime
(a) between 790 and 810 hours,
=
(b) less than 785 hours

, (c) more than 820 hours,

(d) between 770 and 830 hours
=
Answer:
Step-by-step explanation:
x+y = 175
y = 175 - x
f(x) = (x+3)(y+4)
= x(175-x) + 3(175-x) + 4x + 12
= 175x - x² + 525 - 3x + 4x + 12
= -x² +176x + 537
f'(x) = -2x + 176
maximum when x = 88
y = 175-x = 87
The balloon is in the air for 3sThe max height is 44mThe max height occurs at x=0
Answer:
(-7,-15)
Step-by-step explanation:
We can substitute first y in the second y. Both equations are also functions. We can merge the equations.

Substitute x = -7 in any given equations. I will choose the second equation to substitute in.

<u>Answer</u><u> </u><u>Check</u>
Substitute both x and y in both equations.

The equation is true for (-7,-15).

The second equation is true for (-7,-15).
Therefore our answer is (-7,-15)