Answer and Step-by-step explanation:
a)
expected value for the difference in sample means=3.5-3.2=0.3
b)
standard deviation of the sampling distribution of the difference in sample means
=sqrt((0.5^2/40)+(0.8^2/40))
=0.1492
c)
z=(0.3-0)/0.1492
z=2.01
P(z>2.01)=0.0222
Answer:
a rotation followed by a translation
Step-by-step explanation:
i took the class last trimester
Answer:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try!
7 - 7(x - 7) > -4 + 5x
7 - 7x + 49 > -4 + 5x
56 - 7x > -4 + 5x
-7x - 5x > -4 - 56
-12x > -60
x < -60/-12
x < 5
Answer:
5
Step-by-step explanation:
sum the parts of the ratio, 3 + 4 = 7 parts
Divide the number of students by 7 to find the value of one part of the ratio
35 ÷ 7 = 5 ← value of 1 part of the ratio, then
3 parts 3 × 5 = 15 ← number of boys
4 parts = 4 × 5 = 20 ← number of girls
20 - 15 = 5
There are 5 more girls than boys
