Answer:
There is a 25/81 probability that Grace will make both of her next two shots.
Step-by-step explanation:
The probability of her making the first shot is 5/9.
The probability of her also making the shot after that is still 5/9, that does not change.
To find the probability of both of those events, multiply the fractions.
5/9 * 5/9
25/81.
Answer:
The reason why standard deviation of the entire class is greater than standard deviation of males and females considered separately, is that mean values for males and females are different from each other.
Step-by-step explanation:
The concept of mean is well represented by the following formula
mean = , where x1, x2, xn are the observations and N is the number of observations (population).
Standard deviation represents the distance between each observation and the mean of the population (all observations). The formula for this parameter is:
Standard deviation =√[((x1 - x)² + (x2-x)² + ....+ (xn-x)²)/N-1], where x1, x2,..., xn are the observations and x is the mean value.
In this case you have that each height registered is an observation and the number of observations represents the N value. As you can see if the mean for males is different from that of females their standard deviation will be different too. Usually males have heigths greater than that of females (1.77 vs 1.64, in USA for example), and heights inside each group will be more similar than between groups. Then, when you mix all observation there will be an increase in standard deviation, because you are mixing very different heigths
Answer:
74,000
Step-by-step explanation:
In the year where he got 104,000 the year before he got 6,000 less. The year before 98,000 he got 12,000 less which means that now it would just be 86,000-12,000=74,000
I think this is right but you can double check on a calculator
Hope this helped!
Euro tunnel : - 115 (115 m below sea level of 0)
-115 = S - 50
-115 + 50 = S
- 65 = S....the sea bed is -65 m (or 65 m below sea level
Answer:
length of the curve = 8
Step-by-step explanation:
Given parametric equations are x = t + sin(t) and y = cos(t) and given interval is
−π ≤ t ≤ π
Given data the arrow the direction in which the curve is traces means
the length of the curve of the given parametric equations.
The formula of length of the curve is
Given limits values are −π ≤ t ≤ π
x = t + sin(t) ...….. (1)
y = cos(t).......(2)
differentiating equation (1) with respective to 'x'
differentiating equation (2) with respective to 'y'
The length of curve is
on simplification , we get
here using sin^2(t) +cos^2(t) =1 and after simplification , we get
again using formula, 1+cost = 2cos^2(t/2)
Taking common we get ,
length of curve =
length of the curve is = 4(1+1) = 8
<u>conclusion</u>:-
The arrow of the direction or the length of curve = 8