The range is 6. because the highest number is 21 and the lowest is 15.
(21-15=6). hope i helped !
Answer:
(2,3.5)
Step-by-step explanation:
B=(1,2)
A=(3,5)
Answer:
120 ways.
Step-by-step explanation:
We have been given that you have 6 reindeer, Prancer, Rudy, Balthazar, Quentin, Jebediah, and Lancer, and you want to have 3 fly your sleigh. You always have your reindeer fly in a single-file line.
We will use permutation formula to solve our given problem as:
Therefore, you can arrange your reindeer in 120 different ways.
Answer:
a) the proportion is 0.159 (15.9%)
b) the proportion is 0.524 (52.4%)
c) Ralph is 70.958 inches tall
Step-by-step explanation:
defining our random variable X= heights of men , then we can define the standard random variable Z as
Z= (X- μ)/σ , where μ is the population's mean and σ is the corresponding standard deviation of X
then for X=72
Z= (X- μ)/σ
Z= (72-68)/4 = 1
a) P(X> 72) = P(Z> 1) = 1-0.841 = 0.159 (using standard normal distribution tables)
b) for X=64 and X=74
Z₁= (64 -68)/4 = -1
Z₂= (74-68)/4 = 1.5
then
P(68<X< 74) = P(-1<Z <1.5) 0 = P(Z<1.5) - P(Z<-1) = 0.933- 0.159 =0.774
c) Z₃ = 0.933 - 0.774*0.25 = 0.7395
thus
Z₃= (X₃- μ)/σ →X₃ =μ+ Z₃*σ = 68 + 0.7395*4 = 70.958 inches
therefore Ralph is 70.958 inches tall
<span>( 9 + 2 i ) ( 3 − 5 i ) − ( 9 + i ) ( 3 − 5 i )
FOIL
i x i = -1
(27 + 6i - 45i +10) - (27 +3i - 45i +5)
Combine like terms and distribute the negative
37 - 39i + 42i - 32
3i + 5
This is the farthest I could go with it. Assuming you were looking for a simplification though you did not specify your desired answer's criteria. Hope this helped!</span>
