Answer:
0.03593
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score = 17,340
μ is the population mean = 15,000
σ is the population standard deviation = 1300
z score:
z = 17340 - 15000/1300
z =1.8
Probability value from Z-Table:
P(x<17340) = 0.96407
P(x >17340) = 1 - P(x<17340)
= 1 - 0.96407
= 0.03593
The probability that the life span of the monitor will be more than 17,340 hours is 0.03593
Answer:
m = -1
Step-by-step explanation:
Formula we'll use:
m = slope.
y2 = -4
x2 = -5
y1 = 6
x1 = 5
<u>Substitute -4, -5, 6, 5 into the formula:</u>
<u />
<u>Subtract both top and bottom:</u>
m = -10/-10
m = -1
The first thing to do is to clear t from both expressions and compare the value to verify if it is the same:
Expression 1:
sin t = .3
t = arcsin (0.3)
t = 0.3047
Expression 2:
cos t = .48
t = arccos (0.48)
t = 1.0701
Both expressions have a different value of t, therefore, both expressions do not satisfy the same number t.
answer:
It is not possible for the same value of t to be met: sin t = .3 and cos t = .48
==> 225 is 75% of 300 .
==> 225 is 25% smaller than 300 .
==> 225 is 3/4 of 300 .
==> 300 is 4/3 the size of 225 .
==> 300 is (33 and 1/3)% bigger than 225 .
==> 225 is 75 less than 300 .
==> 225 has 10 fewer factors than 300 has.
==> 300 has 2.25 times as many factors as 225 has.
==> 225 and 300 have 5 common factors.
==> The greatest common factor of 225 and 300 is 75 .