Lets write this out:-
To answer this we just need to add the numerators of both fractions because the denominator's are already common multiples.
Now lets simplify
.
So,
Hope I helped ya!! xD
Answer:
option A
Step-by-step explanation:
take 45 degree as reference angle
using sin rule
sin 45 = opposite / hypotenuse
= s/
= s
root 2 and root 2 gets cancel
8 = s
Answer:
The correct answer is option 'a' : 120 is more than 2.5 standard deviations above the expected value.
Step-by-step explanation:
For an exponential distribution we have
The expected value μ = 80
No of trails n = 200
Thus we have
The deviation is related to expected value and probability as
Thus the values between the given deviation is
Now since 120 successes are out of the range of [62.75,97.25] thus 120 is more than the expected value.
Answer:
The 53rd term of this arithmetic sequence is -805.
Step-by-step explanation:
The general rule of an arithmetic sequence is the following:
In which d is the common diference between each term, that is, .
To find the nth term of the sequence, this equation can be written as:
27,11, -5
So
The 53rd term of this arithmetic sequence is -805.
Answer: the answers are below
Step-by-step explanation:
1 meal = 2/3 of a can of wet dog food, 1/8 of a bag of dry dog food, and 3/5 a patty of special meat
Food for 1 day: 2 meals = 2(2/3) = 4/3 of a can of wet dog food, 2(1/8) = 1/4 of a bag of dry dog food, and 2(3/5) = 6/5 a patty of special meat
The trainer goes to the store and buys 24 cans of wet food, 4 bags of dry food and 3 packages of meat (3*6 = 18 patties)
He has:
there is wet food for: 24/(4/3) = 24*3/4 = 18 days
there is dry food for: 4/(1/4) = 4*4 = 16 days
there is special meat food for: 18/(6/5) = 18*5/6 = 15 days
since the minimum for 15, 16 and 18 is 15 the dog will have food for 15 days and first he will run out of special meat.