Answer:
0.0405
Step-by-step explanation:
10^-2 is the same as 1/100, so if you multiply 4.05 x 1/100, you get 0.0405.
Another way to think about it is by looking at the exponent -2. You need to move the decimal point 2 spaces to the left -- and add zeroes to any spaces that don't already have numbers.
So if you start with 4.05, and move the decimal one space to the left, you get 0.405, and then you move it one more space, and you get 0.0405.
Use Rule of One: x^1 = x
6 × x^3 + 1 × z/3
Simplify 6 × z^3/3 to 2z^3
2z^3 + 1 × z/3
Simplify 1 × z/3 to z/3
<u>= 2z^3 + z/3</u>
Parallel to 2x+y=-5
2x+y-2x=-5-2x
y=-2x-5
y=mx+b
Slope: m=-2
As the line is parallel must have the same slope:
m=-2
And it has an x-intercept of 2: when x=2, y=0→Point: P1=(2,0)=(x1,y1)
x1=2, y1=0
y-y1=m(x-x1)
y-0=(-2)(x-2)
y=-2x+4
In standard form:
y+2x=-2x+2x+4
2x+y=4
Answer: The equation of the line, in standard form, that passes through the origin and is parallel to x+y=6 is x+y=0
Answer:
13
Step-by-step explanation:
20÷1.5 since there is not X
Answer: b) 84
Step-by-step explanation:
Let p be the prior estimate of the required proportion.
As per given , we have
p =0.5 (The probability of getting heads on a fair coin is 0.5)
Significance level : 
Critical z-value (using z-value table ) : 
Confidence interval width : w= 0.18
Thus , the margin of error : 
Formula to find the sample size ( if prior estimate of proportion is known.):-
Substitute the values , we get
Simplify ,
[Round of to the next whole number.]
Hence, the number of times we would have to flip the coin =<u>84</u>
hence, the correct answer is b) 84
