Answer:
5.9160797831
Step-by-step explanation:
Answer: Girls: 20
Boys: 30
Step-by-step explanation: 40% of 50 is 20, which means there are 20 girls.
Subtract 50-20 to get the number of boys, which is 30.
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:
Step-by-step explanation:
-3.5 means -(3 + 
)
In other words, -3.5 = 
When we draw two numbers 
and on a number line, comes first from left to right.
We know that all the numbers on a number line from left to right are in increasing order.
Therefore, is smaller than .
Lauren is not correct.
Answer:
AAS method can be used to prove that the two triangles are congruent.
Step-by-step explanation:
According to the question for the two triangles one pair of opposite angles are equal. One another pair of angles are equal for the two and one pair of sides are also equal of the two.
Hence, the two given triangles are congruent by AAS rule.
Hence, AAS method can be used to prove that the two triangles are congruent.
