Answer:
m∠Q = 61°
m∠S = 61°
m∠R = 58°
Step-by-step explanation:
Since we have an isosceles triangle, we know that ∠Q and ∠S are congruent.
Step 1: Definition of isosceles triangle
2x + 41 = 3x + 31
41 = x + 31
x = 10
Step 2: Find m∠Q
m∠Q = 2(10) + 41
m∠Q = 20 + 41
m∠Q = 61°
Step 3: Find m∠S
Since m∠Q = m∠S,
m∠S = 61°
Step 4: Find m∠R (Definition of a triangle)
Sum of angles in a triangle adds up to 180°
m∠R = 180 - (61 + 61)
m∠R = 180 - 122
m∠R = 58°
The aquarium has 3 more yellow fish than green fish.
60% of the fish are yellow.
To find:
How many green fish are in the aquarium?
Step-by-step explanation:
Let there be x number of fish in the aquarium.
60% of the fish are yellow.
So there are 60x/100 = 3x/5 yellow fish.
Then (100 - 60)% = 40% fish are green.
So there are 40x/100 = 2x/5 green fish.
Given that, there are 3 more yellow fish than green fish
⇒ 3x/5 = 2x/5 + 3
⇒ 3x/5 = (2x + 15)/5
⇒ 3x = 2x + 15
⇒ 3x - 2x = 15
⇒ x = 15
Now, 2x/5 = 2/5 × 15 = 2 × 4 = 6
Answer:
There are 6 green fish in the aquarium.
The level of measurement of each given variable are:
1. Ordinal
2. Nominal
3. Ratio
4. Interval
5. Ordinal
6. Nominal
7. Ratio
8. Interval
Level of measurement is used in assigning measurement to variables depending on their attributes.
There are basically four (4) levels of measurement (see image in the attachment):
1. <u>Nominal:</u> Here, values are assigned to variables just for naming and identification sake. It is also used for categorization.
- Examples of variables that fall under the measurement are: Favorite movie, Eye Color.
<u>2. Ordinal:</u> This level of measurement show difference between variables and the direction of the difference. In order words, it shows magnitude or rank among variables.
- Examples of such variables that fall under this are: highest degree conferred, birth order among siblings in a family.
<u>3. Interval Scale:</u> this third level of measurement shows magnitude, a known equal difference between variables can be ascertain. However, this type of measurement has <em>no true zero</em> point.
- Examples of the variables that fall here include: Monthly temperatures, year of birth of college students
4. Ratio Scale: This scale of measurement has a "true zero". It also has every property of the interval scale.
- Examples are: ages of children, volume of water used.
Therefore, the level of measurement of each given variable are:
1. Ordinal
2. Nominal
3. Ratio
4. Interval
5. Ordinal
6. Nominal
7. Ratio
8. Interval
Learn more about level of measurement here:
brainly.com/question/20816026
Answer:
ok
Step-by-step explanation: