Answer:
x = -0.69
Step-by-step explanation:
We can get this by writing the equation in the logarithmic form to base e
We have this as;
log e 0.5 = x
x = ln 0.5
x = -0.69315
To two decimal places, this is -0.69
Answer:
The probability is 0.31
Step-by-step explanation:
In this question, we are tasked with calculating the probability that a random plumber called at Denver will charge an amount greater than $86 given the mean and the standard deviation.
Firstly, we calculate the standard score of $86 using the mean and the standard deviation.
Mathematically;
z-score = (x-mean)/SD
where x = 86, mean = 84 and SD = 4
z-score = (86-84)/4 = 2/4 = 0.5
Hence, we want to calculate P(z ≥ 0.5)
Using standard table
P( (z ≥ 0.5) = 1 - P(z ≤ 0.5) = 1 - ( 0.19146 + 0.5) = 0.30854
To the nearest hundredth = 0.31
Answer:
Step-by-step explanation:
To find the area subtract the area of the semicircle from the area of the rectangle.
Although the line isn’t there, if you imagine there is one, then you will see that you form a rectangle which is the same line as the semicircle’s diameter.
The area of rectangle is:
⇒ 
⇒ 
⇒ 
The area of the semicircle;
⇒ 
⇒ 
*Note here that the radius is half the diameter, so it is 7cm, not 14cm
⇒ 
Finally subtract the two areas;
⇒ 
⇒ 
180-134=46 98+46=144. 180-144=36. angle y=36. So the answer is D)36.
So if Hugo has saved $10 the first week and $6 for the next 6 weeks the answer would be $46.
you can either add up 6 six times or you can multiple 6 by 6.
6+6+6+6+6+6=36 or 6×6=$36
then you add the $10 from the first week & the $36 from the $6 you saved for 6 weeks to get your final answer of $46.
$36+$10=$46
