Answer:
X: discrete
Y: continuous
M: continuous
N: discrete
P: discrete
Q: continuous
Step-by-step explanation:
First, we have to know the difference between discrete and continuous variables:
- Discrete variables are those that represent things that are counted, 3 red cars, 2 chickens, etc.. They take positive integer values, {0, 1, 2, ..., n}, being [0, n] the interval from which the variable takes values, that means, there is a finite number of possible values.
- Continuous variables are those that represent things that are measured, 3.56 km of railway laid, 5.77 l of paint used. They take positive real values, that means that in the interval used for the variable there are infinite possible values.
Now, we classify each variable:
- The number of automobile accidents per year in Virginia (X) is a discrete variable, as there can't be half an accident, one counts how many accidents are per year to know X.
- The length of time to play 18 holes of golf (Y) is a continuous variable, as it can take 2 hours, or 2.5 hours, or 2 hours, 30 minutes, 2 seconds, one measures how long it took to play 18 holes to know Y.
- The amount of milk produced yearly by a particular cow (M) is a continuous variable, as one measures how much milk was produced to know M.
- The number of eggs laid each month by a hen (N) is a discrete variable, as one counts how much eggs were laid to know N.
- The number of building permits issued each month in a certain city (P) is a discrete variable, as one counts how many permits were issued to know P.
- The weight of grain produced per acre (Q) is a continuous variable, as one measures the weight per acre to know Q.
Answer:
<em>Measure of one of the interior angles ⇒ 90°</em>
Step-by-step explanation:
If we are considering a regular polygon, all sides are ≅, respectively all angles are ≅ as well;
Now any quadrilateral has total interior angle measure of 360 degrees, provided they each can be split into two triangles and hence knowing a triangle is 180 degrees each, ⇒ 180 * 2 = 360°;
So if all these angles are ≅, we can claim that;
m∠ 1 = m∠ 2 = x = m∠ 3 = m∠ 4, where ∠1, 2, 3, and 4 are interior angles
x + x + x + x = 360 degrees ( ° ),
4x = 360°,
x = 90° = m∠ 1 = m∠ 2 = m∠ 3 = m∠ 4,
<em>Solution; Measure of one of the interior angles⇒ 90°</em>
Answer:
Probability that song selected after first selection is rock = 2/7
Probability that song selected from the remaining after second selection is country rock = 1/2
Step-by-step explanation:
Total number of songs = 7
After first selection, probability that the song selected is rock = 2/7
After second selection, probability that the song selected from the remaining is a country song = 3/6 = 1/2
300 ml ... 200 ml
75 ml ... x = ?
If you would like to know what is the final volume of a gas, you can calculate this using the following steps:
300 * x = 200 * 75 /300
x = 200 * 75 / 300
x = 50.0 ml
The correct result would be A. 50.0 ml.
