Answer:
Step-by-step explanation:
Use trig identities:
1
+
tan
2
x
=
1
cos
2
x
=
sec
2
x
(
1
−
tan
x
)
=
1
+
tan
2
x
−
2
tan
x
=
sec
2
x
−
2
tan
x
Correct answer is: P(x<6) is 0.123 and it is usual.
Solution:-
Given that the time a person takes to decide which shoes to purchase follows normal distribution. Which has mean = 8.21 minutes and standard deviation 1.90
Then probability of individual takes less than 6 minutes is
P(X<6) =
=
= 0.1230
Typically we say an event with a probability less than 5% is unusual.
But here P(X<6) = 0.123 is greater than 5% hence this is usual.
1.
d = rt
13 = r*3
r = 13/3
2.
v = r + at
a = (v-r)/t
Answer:
$3
Step-by-step explanation:
Let the cost of a book and a pen be $b and $p respectively.
3b +2p= 8 -----(1)
5b +3p= 13 -----(2)
(1) ×3:
9b +6p= 24 -----(3)
(2) ×2:
10b +6p= 26 -----(4)
(4) -(3):
10b +6p -(9b +6p)= 26 -24
Expand:
10b +6p -9b -6p= 2
b= 2
Substitute b= 2 into (1):
3(2) +2p=8
6 +2p= 8
2p= 8 -6
2p= 2
p= 2 ÷2
p= 1
Total cost of one book and one pen
= $b +$p
= $2 +$1
= $3
Answer:
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