So if one bit of the length, is half the size of the other bit then we can make the following equation, for x being the length of rope:
x + 2x = 66
3x = 66
x = 22
That is the length, of the smaller one (half the big one), so 2x = 44. Hence d) is your answer.
Hope I helped!
Answer:
The probability that exactly 5 are unable to complete the race is 0.1047
Step-by-step explanation:
We are given that 25% of all who enters a race do not complete.
30 have entered.
what is the probability that exactly 5 are unable to complete the race?
So, We will use binomial
Formula : 
p is the probability of success i.e. 25% = 0.25
q is the probability of failure = 1- p = 1-0.25 = 0.75
We are supposed to find the probability that exactly 5 are unable to complete the race
n = 30
r = 5
Hence the probability that exactly 5 are unable to complete the race is 0.1047
Answer:
Step-by-step explanation:
Given the function 
, to write the form of its partial fraction on decomposition, we will separate the two functions separated by an addition sign. The numerator of each function will be constants A and b and the denominator will be the individual factors of each function at the denominator. The partial fraction of the rational function is as shown below.
<em>Since we are not to solve for the constants, hence the partial fraction is </em>
Answer:
Charlene earns $700 per week
Kristi earns $550 per week
Sascha earns $800 per week
Step-by-step explanation:
Since Kristi earns 150 less than Charlene which is 100 less than Sascha, this is equal to the value of Sascha minus 250. We put this in the equation as s-250.
Together, they all earn $2050, so we must equal this to Charlene's value k+150, plus Kristi's value k, plus Sascha's value s.
<em>k+150+k+s=2050</em>
The next step here is to put the variables on one side and to put the numeric values on the other.
2k+s=1900
Like we said before, Kristi's value is equal to s-250, so we would replace k with that expression.
2(s-250)+s=1900
2s-500+s=1900
3s=2400
s= 800
We now have Sandra's weekly pay, which we can use to find the others' pay.
c= s-100
c= 800-100
c= 700
k= c-150
k= 700-150
k= 550
It’s 4 according to my calculator
