Answer:
Significant difference of 0.20
Step-by-step explanation:
No of student = 20
No of fruits available =4
EAch student is independent of the other.
Hence theoretical probability that a student will choose a banana is=1/4=0.25.
But actual experiments showed that only 1 student selected banana out of 20
Experimental probability that a student will choose a banana is.=1/20 =0.05
The difference between the two = 0.25-0.05 = 0.20
Thus there is a significant difference between Experimental probability that a student will choose a banana and theorical probability that a student will choose a banana
If q<span>uadrilateral AGHYis congruent to quadrilateral BFRS, then
</span>
,
,
,
and
,
,
,
.
Answer:
38
Step-by-step explanation:
multiply 22 x 36 then subtract 792-754
Answer:
The solutions of the equation are 0 , π
Step-by-step explanation:
* Lets revise some trigonometric identities
- sin² Ф + cos² Ф = 1
- tan² Ф + 1 = sec² Ф
* Lets solve the equation
∵ tan² x sec² x + 2 sec² x - tan² x = 2
- Replace sec² x by tan² x + 1 in the equation
∴ tan² x (tan² x + 1) + 2(tan² x + 1) - tan² x = 2
∴ tan^4 x + tan² x + 2 tan² x + 2 - tan² x = 2 ⇒ add the like terms
∴ tan^4 x + 2 tan² x + 2 = 2 ⇒ subtract 2 from both sides
∴ tan^4 x + 2 tan² x = 0
- Factorize the binomial by taking tan² x as a common factor
∴ tan² x (tan² x + 2) = 0
∴ tan² x = 0
<em>OR</em>
∴ tan² x + 2 = 0
∵ 0 ≤ x < 2π
∵ tan² x = 0 ⇒ take √ for both sides
∴ tan x = 0
∵ tan 0 = 0 , tan π = 0
∴ x = 0
∴ x = π
<em>OR</em>
∵ tan² x + 2 = 0 ⇒ subtract 2 from both sides
∴ tan² x = -2 ⇒ no square root for negative value
∴ tan² x = -2 is refused
∴ The solutions of the equation are 0 , π
Answer:
79
Step-by-step explanation:
(58+88+80+70+ x)/5=75
75*5=296x
375=296x
x=375-296
x=79
