Answer: 10 minutes
Step-by-step explanation:
First you have to find out how big the tank is. You will have to you the formula Length x Width x Height. 20 x 18 x 10= 3,600 in. Then you would divide that by 360. 3,600/360= 10. It would have to take 10 minutes to empty the aquarium.
<u><em>The total number of red counters that are in the box is; 728 red counters</em></u>
- We are told that the box contains 1079 counters.
Let the number of white counters be x.
Let the number of red counters be y.
Let the number of black counters be z.
Thus;
z:x = 2:7
Thus; 2x/7 = z
Also, we are given;
x:y = 3:8
Thus;
8x/3 = y
- Since total number in the box is 1079,then;
x + y + z = 1079
x + (8x/3) + (2x/7) = 1079
Multiply through by 21 to get;
21x + 56x + 6x = 22659
83x = 22659
x = 22659/83
x = 273
2x/7 = z
Thus; z = 2 × 273/7
z = 78
8x/3 = y
y = 8 × 273/3
y = 728
273 white counters
728 red counters
78 black counters.
Read more at; brainly.com/question/11712611
Answer:
19/20
Step-by-step explanation:
20 is the total number of people (the denominator) and 19 is the amount of people able to pay card (the numerator)
I'm assuming a 5-card hand being dealt from a standard 52-card deck, and that there are no wild cards.
A full house is made up of a 3-of-a-kind and a 2-pair, both of different values since a 5-of-a-kind is impossible without wild cards.
Suppose we fix both card values, say aces and 2s. We get a full house if we are dealt 2 aces and 3 2s, or 3 aces and 2 2s.
The number of ways of drawing 2 aces and 3 2s is

and the number of ways of drawing 3 aces and 2 2s is the same,

so that for any two card values involved, there are 2*24 = 48 ways of getting a full house.
Now, count how many ways there are of doing this for any two choices of card value. Of 13 possible values, we are picking 2, so the total number of ways of getting a full house for any 2 values is

The total number of hands that can be drawn is

Then the probability of getting a full house is

Answer:
The correct answer is option A. 90°
Step-by-step explanation:
<u>Points to remember</u>
Measure of angles on the semicircle is 90°
From the figure we can see a semicircle and a triangle inscribes on it.
<u>To find the measure of <XYZ</u>
Here <XYZ is on the semicircle that is angle XYZ is a right angle.
Therefore m<XYZ = 90°
The correct answer is option A. 90°