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
Hello :
<span>y = 3x2 + 24x - 1
= 3(x²+8x) -1
= 3 (x² +2(4)(x) +4²- 4² ) -1
= 3((x+4)² -16)-1
y = 3(x+4)² - 49
</span><span>the line of symmetry is : x= - 4</span>
Are you finding m? If so here is the answer:
75 = -5(3 + 6m)
Distribute:
75 = -15 - 30m
Add 15 to both sides:
75 = -15 - 30m
+15 +15
90 = -30m
Divide by -30 on both sides:
90/-30 = (-30m)/-30
You should get: m = -3
Answer:
a. Variable term
b. Variable term
Explanation:
a) We were given the algebraic expression:

The first term of the algebraic expression is:

The first term is a variable term
The variable is "y" and its coefficient is "-5"
b) We were given the algebraic expression:

The second term of the algebraic expression is:

The second term is a variable term
The variable is "b" and the coefficient is "-6"
It is the slant side of the triangle its the longest side or in other words it forms a 90 degree angle the side thats going from top to bottom is you hypotenuse