Answer:
x = (9/2)√2
Step-by-step explanation:
The ratio of leg x to the hypotenuse 9 is equal to the cosine of 45 degrees:
cos 45 degrees = x/9
To find the value of x, multiply both sides of this equation by 9, obtaining 9*cos 45 degrees, which comes out to x =9(1/√2). Rationalizing the denominator, we get x = (9/2)√2
This is an arithmetic sequence with the common difference being 1
and if u have 1 cent on day 1 and 2 cents on day 2....then on day 40, u would have 40 cents....but we need the sum of all the days..
the sum of an arithmetic sequence can be found using the formula :
sn = n(a1 + an) / 2
n = number of terms = 40
a1 = first term = 1
an = last term = 40
now we sub
s(40) = 40(1 + 40) / 2
s(40) = 40(41)/2
s(40) = 1640/2
s(40) = 820.....820 cents = $ 8.20 <== the sum
Answer:55%
Step-by-step explanation:
330/600=0.55
55%
Answer:
Mean and IQR
Step-by-step explanation:
The measure of centre gives the central or the measure which gives the best mid term of a distribution. Based in the details of the box plot, the median is the value which divides the box in the box plot.
For company A:
Range = 25 to 80 with a median value at 30 ; this means the median does not give a good centre measure of the distribution ad it is very close to the minimum value. This goes for the Company B plot too; with values ranging from (35 to 90) and the median designated at 40.
Hence, the mean will be the best measure of centre rather Than the median in this case.
For the variability, the interquartile range would best suit the distribution. With the lower quartile and upper quartile both having reasonable width to the minimum and maximum value of the distribution.
Answer:
a = 16/3 or 5 1/3 or 5.33...
Step-by-step explanation:
to find a you must first make all of the denominators the same
you must find 4 6 and 2s CGF
and that is 12
so multiply a/4 by 3/3 and get 3a/12
then multiply 5/6 by 2/2 and get 10/12
and lastly multiply 1/2 by 6/6 and get 6/12
at this point you can set the equation up like this
3a/12 - 10/12 = 6/12
but then you can multiply everything by 12
3a - 10 = 6
and then solve
add 10 to both sides
3a = 16
then divide 3 on each side
a = 16/3 or 5 1/3 or 5.33...
