Answer:
probability she does not win badminton: 1/10
probability she does not win tennis: 3/5
not sure what the other tree is supposed to be
i think the probability of her winning both is 11/15
Step-by-step explanation:
i havent done this in a while so i could be wrong:/ sorry if it is
Answer:
The correct answer is 2030.
Step-by-step explanation:
To start we must analyze the information we have.
We know that a city has 8000 inhabitants and that each year this number increases by 0.5%. That means that <u>each year it has 40 more inhabitants</u>:
(8000 . 0,5) : 100 = 40
Having this information we could do a cross multiplication:
1 year ------- 40 inhabitants
x years ------- 81200
81200 = 40.x
x = 81200 : 40
x = 2030
In this way we can verify that the correct answer is 2030.
Multiple both ratios by a least common denominator
the least common denominator for both is 15
multiply the first ratio by 3/3
9/15=9/15
both are equal because when multiplying by the least common denominator you get the same answer
Answer:
Solutions are 2, -1 + 0.5 sqrt10 i and -1 - 0.5 sqrt10 i
or 2, -1 + 1.58 i and -1 - 1.58i
(where the last 2 are equal to nearest hundredth).
Step-by-step explanation:
The real solution is x = 2:-
x^3 - 8 = 0
x^3 = 8
x = cube root of 8 = 2
Note that a cubic equation must have a total of 3 roots ( real and complex in this case). We can find the 2 complex roots by using the following identity:-
a^3 - b^3 = (a - b)(a^2 + ab + b^2).
Here a = x and b = 2 so we have
(x - 2)(x^2 + 2x + 4) = 0
To find the complex roots we solve x^2 + 2x + 4 = 0:-
Using the quadratic formula x = [-2 +/- sqrt(2^2 - 4*1*4)] / 2
= -1 +/- (sqrt( -10)) / 2
= -1 + 0.5 sqrt10 i and -1 - 0.5 sqrt10 i
Answer:
120 distinct results are possible if no child is to receive more than one gifts.
Step-by-step explanation:
When the order is not important, we use the combination formula:
is the number of different combinatios of x objects from a set of n elements, given by the following formula.
The order is said to be not important if for example, John receiving the Buffalo Bills jersey and then Laura receiving the Cleveland Browns jersey is the same as Laura receiving the Cleveland Browns jersey before John receives the Buffalo Bills jersey.
In this problem, we have that:
Combinations of 7 from a set of 10 elements. So
120 distinct results are possible if no child is to receive more than one gifts.