If a variable is binomially distributed with n trials and a success probability of p, then the mean = np, variance = np(1–p) and standard deviation = square root of variance.
In this case, n = 1200, p = 0.35. So, mean = (1200)(0.35) = 420,
variance = (1200)(0.35)(1–0.35) = 273,
standard deviation = square root of variance = √273 = 16.52.
Answer:
Option D The solution of the system is the point (-3,5)
Step-by-step explanation:
we have
x+y=2 -----> equation A
y=-2x-1 ------> equation B
Solve the system by substitution
Substitute the equation B in equation A and solve for x
x+(-2x-1)=2
-x-1=2
x=-2-1
x=-3
Find the value of y
y=-2x-1
y=-2(-3)-1
y=5
therefore
The solution of the system is the point (-3,5)
Eli will finish first.
Use 8/10 and 10/12. This represents how many spring rolls over how many minutes. Make your equations like this: 8/10 = 40/x and 10/12 = 40/x. Find x, which will give you the minutes it takes them to make 40 rolls.
You get x = 50 for the first one and x = 48 for the second. Nora makes 40 rolls in 50 minutes, and Eli makes 40 rolls in 48 minutes. Eli is faster.
Hope this helped! Please mark me brainliest!
Answer:
The answer is the temperature of the water (in degrees Fahrenheit) after Raul after Raul added the ice cubes is 72.3 + (-39.1)
Step-by-step explanation:
Assuming compount interest format
for compounded per 1 year
A=future amount
P=present amount
r=rate in decimal
t=time in years
given
P=270
r=5%=0.05
the equaton is
or
for any year, 2009, is year 0, so if you wanted to input the year then
would be for t=what year it was
A.
b. 2009 to 2020
2020-2009=11 years
t=11
f(11)=461.792
about 462 cranes
A.
B. about 462
