Answer:
0.205 ; 0.117 ; 0.999
Step-by-step explanation:
Using binomial probability distribution :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
Probability of success, p = 0.5
P(x = 4) = 10C4 * 0.5^4 * 0.5^6
P(X = 4) = 0.205078125
B.) 3 heads and 7 tails
P(X = 7) = 10C7 * 0.5^7 * 0.5^3
P(X = 7) = 120 * 0.0009765625
P(X = 7) = 0.117
P(atleast one head)
P(x greater than equal to 1) = p(x =1) +... P(x = 10)
Using a binomial probability calculator :
P(x greater than equal to 1) = 0.999
Answer:
30 hours
Step-by-step explanation:
300 - 30
270/7.5
Answer:
Add
Step-by-step explanation:
When MULTIPLY exponents with same base, you Keep the base and + ADD the exponents.
Answer:
C
Step-by-step explanation:
twice a number less three=2x-3
is one half of three times the number=3x/2
2x-3=3x/2
Answer:Think of the equation as an equation for a line
y=mx+b
where in this case
C= 5 /9 (F−32)
or
C= 5 /9 F - 5/9 x 32
You can see the slope of the graph is 5 /9
, which means that for an increase of 1 degree Fahrenheit, the increase is
5 /9 of 1 degree Celsius.
C= 5 /9 (F)
C= 5/9(1)
C=5/9
Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of
9/5 degrees Fahrenheit.
C= 5/ 9 (F)
1= 5 /9 (F)
(F)= 9 /5
Since
9/5 = 1.8, statement II is true.
The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of 5/9 degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:
C= 5 /9 (F)
C= 5 /9 x 5/9
C=25/81
(which is≠1)
An increase of 5/9
degree Fahrenheit leads to an increase of
25/81.
, not 1 degree, Celsius, and so Statement III is not true.
The final answer is D.
