Answer:
Gustavo used an experiment where the data is quantitative.
Step-by-step explanation:
Gustavo is trying to determine the probabilities of winning each of the four possible prices. Since he is calculating a number, e.g. 30% chance of winning a video game system, he is analyzing quantitative data. Quantitative data basically refers to numerical data or information. On the other hand, qualitative data refers to aspects or characteristics of things, e.g. blue color, soft/hard, etc. It does not deal with numbers.
This can be considered an experiment because it deals with causal relationships between variables (this causes that), while simulations only require some type of correspondence between variables.
Answer with explanation:
The equation using trigonometric function are whose value we have to evaluate in the interval [0, 2π].
1.→
cos²x +2 cos x=3
→cos²x +2 cos x-3=0
→cos²x +3 cos x-cos x-3=0
→cos x ( cos x +3) -1×(cos x +3)=0
→ (cos x -1)(cos x +3)=0
→cos x -1= 0 ∧ →cos x+3=0
→cos x =1 ∧ → cos x = -3
⇒-1 ≤ cos x ≤ 1
→cos x=1
where, n is any integer.
→Solution in the Interval [0, 2π] is , x=0, 2 π
2.
2 sin² Ф +7 sin Ф =4
→2 sin² Ф +7 sin Ф -4=0
→2 sin² Ф +8 sin Ф- sin Ф -4=0
→2 sin Ф × (sin Ф +4) -1 × (sin Ф +4)=0
→ (2 sin Ф -1)(sin Ф +4)=0
→ 2 sin Ф -1=0 ∧ →sin Ф +4=0
→sin Ф ≠ -4≡→ ∵ -1 ≤ sin Ф ≤ 1
Where , n is any Integer.
3.
→tan² x+4=2 sec² x+tan x
→tan² x+4=2(1+tan²x)+tan x
→2 tan²x -tan²x +tan x +2-4=0
→tan²x +tan x -2=0
→tan²x +2 tan x -tan x -2=0
→tan x (tan x +2) -1×(tan x +2)=0
→(tan x-1)(tan x +2)=0
→tan x-1 =0 ∧ tan x +2=0
→tan x=1 ∧ tan x = -2
→tan x=1
→tan x= -2
where, k and n are integer.
Answer:
1.5%
Step-by-step explanation:
Answer:
35 members
Step-by-step explanation:
it's like a uniform rate
2 = 10
_ _
5 x
cross multiplying we have :
2 * x = 5*10
2x = 50
divide through by the co-efficient of X
x = 25 boys
Total number of members = number of boy + number of girls
Total number of members = 10 + 25
Total number of members = 35