Answer:
Solution is (35,52)
Step-by-step explanation:
Step 1: Rewrite x+y=87
y= -x+87
Step 2: Substitute y=-x+87 into original equation and solve for x.
x=35
Step 3: Substitute value of x (35) and solve for y.
y=52
Answer:
probability = 0.2517
Step-by-step explanation:
given data
boy kittens = 9
girl kittens = 6
choose kittens at random = 9
solution
total kitten are = 9 + 6 = 15
first we get here total no of probability that is
n(s) = 15 C 9
n(s) = 
n(s) =5005
and
total way to chose 5 boy kittens is = 9 C 3
n(3) = 
n(3) = 84
and
total way to chose 4 girl kittens is = 6 C 4
n(4) = 
n(4) = 15
so
total way to chose 5 boy kittens and 4 girl kittens is
total way = 84 ×15 = 1260
so probability that the director chooses 5 boy kittens and 4 girl kittens is
probability = 
probability = 0.2517
Answer:
0.9545
Step-by-step explanation:
To calculate the probability, we need to get the standard score or z-score of each of the scores.
Mathematically;
z-score = (x-mean)/SD
mean = 89 and SD(standard deviation) = 3
for 83, the z-score = (83-89)/3 = -6/3 = -2
for 95, the z-score = (95-89)/3 = 6/3 = 2
The probability we are to calculate has the following range;
P(-2<z<2)
we use the standard score table to estimate this;
= P(z<2) - P(z<-2)
P(z<2) = 0.97725
P(z<-2) = 0.02275
Plugging these values into the equation, we have ;
P(-2<z<2) = 0.97725 - 0.02275 = 0.9545
Answer
the anwser is this......
Step-by-step explanation:
1 mile = 5280 feet
so 55 miles = 5280*55 = 290,400 feet per hour
there is 3600 seconds per hour
290,400 / 3600 = 80.6666, rounded to 81 feet per second
