The event "P and Q" is a compound event in the probability, and the true statement about the probability is P(P and Q) = 1/9
<h3>How to determine the true statement?</h3>
The probabilities are given as:
P(P) = 1/6
P(Q) = 2/3
The probability of the event P and Q is calculated using:
P(P and Q) = P(P) * P(Q)
This gives
P(P and Q) = 1/6 * 2/3
Evaluate the product
P(P and Q) = 1/9
Hence, the true statement about the probability is P(P and Q) = 1/9
Read more about probability at:
brainly.com/question/251701
Answer:
The coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are (
-4,2).
The coordinates of the point that is a reflection of Y across the y-axis are (
4,-2).
Step-by-step explanation:
<em>Reflection across x-axis</em>
<em>The rule used for Reflection across x-axis is that y-coordinate becomes negated while x coordinate remains same.</em>
So,
The coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are (
-4,2).
Because according to definition, x-coordinate remains same, while y-coordinate is negated. So x-coordinate = -4, y-coordinate = 2
<em>Reflection across y-axis</em>
<em>The rule used for Reflection across y-axis is that x-coordinate becomes negated while y coordinate remains same.</em>
So,
The coordinates of the point that is a reflection of Y across the y-axis are (
4,-2).
Because according to definition, y-coordinate remains same, while x-coordinate is negated. So x-coordinate = 4, y-coordinate = -2
Answer: She would need 206 paper cups.
Step-by-step explanation: First of all, Monica has a 10-gallon container full of lemonade and this translates into 37850 cubic centimetres volume of lemonade. The conversion rate has been provided as one gallon equals 3785 cubic centimetres, therefore ten gallons would be 3785 times ten which gives you 37,850 cubic centimetres of lemonade.
Each cone shaped paper cup has a diameter measuring 8 centimetres and 11 centimetres in height. The radius of the cone shaped cup therefore is 4 centimetres (radius equals diameter divided by two). The volume of each cup therefore is given as;
Volume of a cone = (πr²h)/3
Volume of a cone = (3.14 * 4² * 11)/3
Volume of a cone = 552.64/3
Volume of a cone = 184.2
If each cone could hold 184 cubic centimetres of lemonade, then the entire ten gallons would require the following number of cone shaped cups;
Number of cups = Total volume/Volume of a cup
Number of cups = 37850/184.2
Number of cups = 205.48
Rounded to the nearest whole number, this becomes
Number of cups ≈ 206
Therefore Monica would need 206 cone shaped paper cups to empty the entire 10 gallons of lemonade.
You can do
3 * 2 and 11 * 2 which would be 6:22 and is still equal to the ratio 3:11. Your explanation can be the when divided by 2 or the number you multiplied by, you would get the original ratio
Examples:
6:22
9:33
12:44
The answers is D 21,000because you have to do 60,000x.35=21,000
