Answer:
0.0139
Step-by-step explanation:
Given that in a test for extrasensory perception, the experimenter looks at cards containing either a star, circle, wave, or square. (The subject cannot see the cards.)
Probability for guessing a correct shape out of 4 shapes = 0.25
Each trial is independent of the other
Hence X no of correct guesses is binomial with n = number of cards = 20 and p = constant probability =0.25
the probability a subject correctly guesses at least 10 of the 20 shapes
=
, where F represents the cumulative probability upto 9
= 0.0139
Answer:

Step-by-step explanation:
Apply formula for the circumference of a circle.

The diameter
is 13.8 cm.



Answer:
option (b) is correct.
The value of
is 0.
Step-by-step explanation:
Given:
and 
We have to find the value of
Consider the given function
First evaluate value of function f(x) at x = 3 and 1 then substitute it in
.
f(3) = 1 + 3 = 4
f(1) = 1 + 1 = 2
Substitute, we get
Solving further , we get,

Now evaluate
at t = 0 , we get,

Thus, value of
is 0.
Thus, option (b) is correct.
Answer:
1 . 24
2. 21
Step-by-step explanation:
1.
b=6
h=4
A= b*h
=6*4
=24
2. b=6
h= 7
A= 1/2*b*h
= 1/2*6*7
=21