Answer:

Step-by-step explanation:
There are
2 yellow
3 magenta
5 blue
marbles in the bag.
So total of 2 + 3 + 5 = 10 marbles
We have to multiply the probability of yellow on first pick by the probability of yellow on second pick (WITHOUT REPLACEMENT).
We denote P(Y1) as probability of yellow on first draw &
P(Y2) as probability of yellow on second draw
Thus,
P(Y1) = 2/10 = 1/5 [since 2 yellow and 10 total marbles]
Now,
P(Y2) = 1/9 [since now 1 yellow is taken out and NOT replaced, so we have 1 yellow remaining and total 9 marbles]
Now, we multiply:
P(Y1) * P(Y2) = 1/5 * 1/9 = 1/45
The probability is 
<h3>Given:</h3>
<h3>To find:</h3>
<h3>Solution:</h3>
We can divide the given shape into a triangle and a rectangle.
We'll have to use Pythagoras Theorem.

In this question we have to find the hypotenuse so we'll have to add.
Let's substitute the values according to the formula.




Now, we can find the value of "x"
- Adjacent= 7 cm
- Opposite= 6 cm
- Hypotenuse= 9.22 cm
We can use any one from SOHCAHTOA.
Here I'm using tan.

Let's substitute the values according to the formula.

We'll have to use tan inverse.


Answer:
the dots represent how many people have 3 email accounts. In this case 5.
Step-by-step explanation:
It is the 3rd one. There are exactly 5 students with 3 email accounts.
Let me know if it was helpful.
Answer:
Another rational number
Step-by-step explanation:
Here, we want to get the type of number that should be added to a rational number to explain that the sum of two rational numbers is rational
What we simply have to do here is to add another rational number to the rational number we have already
By adding another rational number to the rational number we have, we will get another rational number
That has successfully proven what we are trying to prove
Answer:
25/24
Step-by-step explanation:
sin x = O/H = -7/25
cot x = A/O = -24/7
sec x = H/A
if sin x = -7/25, the opposite side is 7, and the hypotenuse is 25
if cot x = -24/y, the adjacent side is 24 (and the opposite side is still 7)
since H = 25 and A = 24, sec x = 25/24
Also, you know it's positive because when sin x is negative, the angle is in quadrants 3 or 4, and when cot x is negative, the angle is in quandrants 2 or 4, so the only quadrant that satisfies both is 4. In quadrant 4, sec x is positive.