Answer:
first option
Step-by-step explanation:
In a parallelogram consecutive angle are supplementary, sum to 180, so
2a + 122 = 180 ( subtract 122 from both sides )
2a = 58 ( divide both sides by 2 )
a = 29
---------------
In a parallelogram the opposite sides are congruent, then
b + 6 = 10 ( subtract 6 from both sides )
b = 4
Answer: the probability that fewer than 100 in a random sample of 818 men are bald is 0.9830
Step-by-step explanation:
Given that;
p = 10% = 0.1
so let q = 1 - p = 1 - 0.1 = 0.9
n = 818
μ = np = 818 × 0.1 = 81.8
α = √(npq) = √( 818 × 0.1 × 0.9 ) = √73.62 = 8.58
Now to find P( x < 100)
we say;
Z = (X-μ / α) = ((100-81.8) / 8.58) = 18.2 / 8.58 = 2.12
P(x<100) = P(z < 2.12)
from z-score table
P(z < 2.12) = 0.9830
Therefore the probability that fewer than 100 in a random sample of 818 men are bald is 0.9830
Answer:
3).
4).
If it was by 10, k = 3 by 10
k = 30
5).
Answer:
m < 49/12
Step-by-step explanation:
The portion of the quadratic formula under the square root sign is the discriminant.
If the discriminant is > 0 then there are two real roots.
b² -4ac > 0
-----------------------------
7² - 4(3)m > 0
49 - 12m > 0
Subtract 49 from both sides
-12m > -49
Divide both sides by -12
(when multiplying or dividing by a negative the inequality must be reversed)
m < 49/12
Answer:
True
Step-by-step explanation:
For a relation to be a function each value of x must pair up with one and only one value of
The relation shown is a function.
