Answer:
168 = x
Step-by-step explanation:
mean = u=132
standard deviation =sigma = 20
z score =z=1.8
The formula is
z = (x-u)/ sigma
Substituting what we know
1.8 = (x-132)/20
Multiply by 20
1.8*20 = (x-132)/20 *20
36 = x-132
Add 132 to each side
36+132 = x-132+132
168 = x
Trey designed 105 games, so he designed 70 more games. The way the question is worded is weird.
Answer:
-4x^2 + 237x - 675
Step-by-step explanation:
(x - 3)*(232 - 4x -7) >> Distribute x and -3 to the trinomial
232x - 4x^2 - 7x - 696 + 12x + 21 >> Simplify
-4x^2 + 237x - 675
This question is incomplete, the complete question is;
An aircraft seam requires 27 rivets. The seam will have to be reworked if any of these rivets is defective. Suppose rivets are defective independently of one another, each with the same probability. (Round your answers to four decimal places.)
If 25% of all seams need reworking, what is the probability that a rivet is defective?
Answer:
the probability that a rivet is defective is 0.0106
Step-by-step explanation:
Given the data in the question,
let event X represent seam fails and event B represent rivet fails.
now, 25% of all seams need reworking;
i.e P(X) = 25% = 0.25
the probability that a rivet is defective will be;
P( A ) = 1 - P( B' )²⁷
so
0.25 = 1 - P( B' )²⁷
P( B' )²⁷ = 1 - 0.25
P( B' )²⁷ = 0.75
P( B' ) =
P( B' ) = 0.9894
so
P( B ) = 1 - 0.9894
P( B ) = 0.0106
Therefore, the probability that a rivet is defective is 0.0106
Answer:
Explanation:
An isosceles triangle is one with two equal lengths.
To find the lengths of the sides with coordinates
(
x
1
,
y
1
)
,
(
x
2
,
y
2
)
we use Pythagoras' theorem
d
=
√
(
x
2
−
x
2
)
2
+
(
y
2
−
y
1
)
2
from the information given
d
1
=
√
(
13
−
9
)
2
+
(
−
2
−
−
8
)
2
d
1
=
√
4
2
+
6
2
=
√
52
−
−
(
1
)
d
2
=
√
(
13
−
5
)
2
+
(
−
2
−
−
2
)
2
d
2
=
√
8
2
+
0
2
=
√
64
=
8
−
−
(
2
)
d
3
=
√
(
9
−
5
)
2
+
(
−
8
−
−
2
)
2
d
3
=
√
4
2
+
6
2
=
√
52
−
−
−
(
3
)
we see
d
1
=
d
3Explanation:
An isosceles triangle is one with two equal lengths.
To find the lengths of the sides with coordinates
(
x
1
,
y
1
)
,
(
x
2
,
y
2
)
we use Pythagoras' theorem
d
=
√
(
x
2
−
x
2
)
2
+
(
y
2
−
y
1
)
2
from the information given
d
1
=
√
(
13
−
9
)
2
+
(
−
2
−
−
8
)
2
d
1
=
√
4
2
+
6
2
=
√
52
−
−
(
1
)
d
2
=
√
(
13
−
5
)
2
+
(
−
2
−
−
2
)
2
d
2
=
√
8
2
+
0
2
=
√
64
=
8
−
−
(
2
)
d
3
=
√
(
9
−
5
)
2
+
(
−
8
−
−
2
)
2
d
3
=
√
4
2
+
6
2
=
√
52
−
−
−
(
3
)
we see
d
1
=
d
3Explanation:
An isosceles triangle is one with two equal lengths.
To find the lengths of the sides with coordinates
(
x
1
,
y
1
)
,
(
x
2
,
y
2
)
we use Pythagoras' theorem
d
=
√
(
x
2
−
x
2
)
2
+
(
y
2
−
y
1
)
2
from the information given
d
1
=
√
(
13
−
9
)
2
+
(
−
2
−
−
8
)
2
d
1
=
√
4
2
+
6
2
=
√
52
−
−
(
1
)
d
2
=
√
(
13
−
5
)
2
+
(
−
2
−
−
2
)
2
d
2
=
√
8
2
+
0
2
=
√
64
=
8
−
−
(
2
)
d
3
=
√
(
9
−
5
)
2
+
(
−
8
−
−
2
)
2
d
3
=
√
4
2
+
6
2
=
√
52
−
−
−
(
3
)
we see
d
1
=
d
3