Answer:
27/sqrt9, 4^2 are the rational numbers
Step-by-step explanation:
All the other ones do not terminate, so this leaves these as the answers.
hope this helps!
3. x+100 = 90 alternate interior angles are equal
subtract 100 from each side
x+100 - 100 = 90-100
x = -10
4. 17x+1 = 120 alternate exterior angles are equal
subtract 1 from each side
17x+ 1 -1 = 120 -1
17x = 119
divide each side by 17
17x/17 = 119
x =7
Answer:
a) P(Y > 76) = 0.0122
b) i) P(both of them will be more than 76 inches tall) = 0.00015
ii) P(Y > 76) = 0.0007
Step-by-step explanation:
Given - The heights of men in a certain population follow a normal distribution with mean 69.7 inches and standard deviation 2.8 inches.
To find - (a) If a man is chosen at random from the population, find
the probability that he will be more than 76 inches tall.
(b) If two men are chosen at random from the population, find
the probability that
(i) both of them will be more than 76 inches tall;
(ii) their mean height will be more than 76 inches.
Proof -
a)
P(Y > 76) = P(Y - mean > 76 - mean)
= P(
) >
)
= P(Z >
)
= P(Z >
)
= P(Z > 2.25)
= 1 - P(Z ≤ 2.25)
= 0.0122
⇒P(Y > 76) = 0.0122
b)
(i)
P(both of them will be more than 76 inches tall) = (0.0122)²
= 0.00015
⇒P(both of them will be more than 76 inches tall) = 0.00015
(ii)
Given that,
Mean = 69.7,
= 1.979899,
Now,
P(Y > 76) = P(Y - mean > 76 - mean)
= P(
)) >
)
= P(Z >
)
= P(Z >
))
= P(Z > 3.182)
= 1 - P(Z ≤ 3.182)
= 0.0007
⇒P(Y > 76) = 0.0007
Answer:
Step-by-step explanation:
A secant is a straight line from a point outside a given circle that passes through two points on its circumference.
From the given diagram, EM and EQ are secants.
Thus,
<PEW ≅ <WEP (common angles)
<EMP ≅ <EQW (secant-chord theorem)
<WMP ≅ <PQM (inscribed angles of arc WP)
Therefore,
=
(corresponding sides of a triangle)
This implies that,
EW*PQ = EP*WM
Therefore,
MP*EW = WQ*EP (properties of a similar triangle)
Answer:
3. 9x+5+x-7=25
4. 10x-2=25
5. 10x=27
Step-by-step explanation:
3. 9x+5+x-7=25
4. 10x-2=25
10x=25+2
5. 10x=27
x=27÷10
x=2.7