Answer:
x=92 y=23
Step-by-step explanation:
Let them be x and y respectively
so given
x-y=69
and
x/y=4 x=4y
so we can write
x-y=69
as
4y-y=69 3y=69 y= 69/3 = 23
now y is 23
so putting in any equation will give the value of x
so
x-23=69 x=92
1) A. Biased because the population could be uneven. Too many of one ethnicity, too many of one gender, etc.
2) I believe this one is C. because there are not enough people. You need to survey the majority of parents instead of a selected few.
3) There are 80 green marbles per 500, therefore calculate the percentage.

or

percent. Multiply

percent or

times 25. It gives you

.
4) This one is a probability thing too. For every 500 batteries, there are 3 that are defective, therefore,

.

5) Yet another one. Add up all the nuts and you get

. The chance of getting a cashew from these

is:

.
Therefore:
Answer:
70/(10-3)+1=11
Step-by-step explanation:
simplify
70/(7)+1=11
10+1=11
11=11
Answer:

Step-by-step explanation:
We can use basic probability to find the probability that this roll is not a factor of 35.
First off, we know that with a six sided die there are 6 possible things we can roll.
1, 2, 3, 4, 5, or 6
Now, what are the factors of 35? The factors of 35 will be any whole number that can be multiplied by another whole number to get 35.
- We know
, so two factors are 1 and 35. - We know
, so two factors are 5 and 7.
Therefore, the factors of 35 are 1, 5, 7, 35.
Both 5 and 7 are inside the range of 1-6. So the probability of rolling a side that's a factor of 35 will be
since there are two factors and 6 possible options.
This means, logically, there is a
chance of not rolling a factor of 35.
Hope this helped!
<span> I am assuming you want to prove:
csc(x)/[1 - cos(x)] = [1 + cos(x)]/sin^3(x).
</span>
<span>If we multiply the LHS by [1 + cos(x)]/[1 + cos(x)], we get:
LHS = csc(x)/[1 - cos(x)]
= {csc(x)[1 + cos(x)]/{[1 + cos(x)][1 - cos(x)]}
= {csc(x)[1 + cos(x)]}/[1 - cos^2(x)], via difference of squares
= {csc(x)[1 + cos(x)]}/sin^2(x), since sin^2(x) = 1 - cos^2(x).
</span>
<span>Then, since csc(x) = 1/sin(x):
LHS = {csc(x)[1 + cos(x)]}/sin^2(x)
= {[1 + cos(x)]/sin(x)}/sin^2(x)
= [1 + cos(x)]/sin^3(x)
= RHS.
</span>
<span>I hope this helps! </span>