Answer:
The probability is 0.683
Step-by-step explanation:
To calculate this, we shall be needing to calculate the z-scores of both temperatures
mathematically;
z-score = (x-mean)/SD
From the question mean = 78 and SD = 5
For 73
z-score = (73-78)/5 = -5/5 = -1
For 83
z-score = (83-78)/5 = 5/5 = 1
So the probability we want to calculate is within the following range of z-scores;
P(-1 <z <1 )
Mathematically, this is same as ;
P(z<1) - P(z<-1)
Using the normal distribution table;
P(-1<z<1) = 0.68269 which is approximately 0.683
Answer:
47
Step-by-step explanation:
Okay. 10^12 is 1 trillion. 1 trillion * 7 is 7 trillion. 14 trillion / 7 trillion is 2. The national debt in 2010 is two times larger than in 2003. So that basically means that the national debt doubled from 2003 to 2010.
Answer:
D
Step-by-step explanation:
It is irrational # because after reaching a remainder of three for the second time the quotient starts to repeat.
Answer:
Step-by-step explanation:
Let the 10s digit = x
Let the units digit = y
x +y = 11 Sum of the digits = 11
10x + y + 45 = 10y + x Reversed number is 45 more than original #
10x - x + y + 45 = 10y We subtracted x from both sides.
9x + y + 45 = 10y Subtract y from both sides.
9x + 45 = 10y - y Combine the right
9x + 45 = 9y
Put x + y = 11 into the equation just found.
9x + 45 = 9(11 - x) divide through by 9
x + 45/9 = 11 - x add x to both sides
2x + 5 = 11 Subtract 5 from both sides
2x = 11 - 5
2x = 6 Divide by 2
x = 6/2
x = 3
x + y = 11
3 + y = 11
y = 11 - 3
y = 8
Now check it out.
the original number is 38
the new number is 83 which the digits are reversed.
83 - 38 = 45 just as it should.
