Answer: first: 1/6 second dice: 4/6
Step-by-step explanation:
So we know that a dice have the numbers 1,2,3,4,5, and 6 .
So the the probability that first die rolled 2 is 1/6 because there appears only on 2 .
and the probability that the second dice rolled a number greater than 2 is 4/6 or 2/3 because there are 4 numbers greater than 2 out of the 6 total .
Answer:
Step-by-step explanation:
Hello!
The study variable is:
X: number of customers that recognize a new product out of 120.
There are two possible recordable outcomes for this variable, the customer can either "recognize the new product" or " don't recognize the new product". The number of trials is fixed, assuming that each customer is independent of the others and the probability of success is the same for all customers, p= 0.6, then we can say this variable has a binomial distribution.
The sample proportion obtained is:
p'= 54/120= 0.45
Considering that the sample size is large enough (n≥30) you can apply the Central Limit Theorem and approximate the distribution of the sample proportion to normal: p' ≈ N(p;
)
The other conditions for this approximation are also met: (n*p)≥5 and (n*q)≥5
The probability of getting the calculated sample proportion, or lower is:
P(X≤0.45)= P(Z≤
)= P(Z≤-3.35)= 0.000
This type of problem is for the sample proportion.
I hope this helps!
Answer:0.3273542601
Step-by-step explanation:
73÷223=0.3273542601
Answer:
973,764
Step-by-step explanation:
Answer: the area of the garden is 297 ft^2
Step-by-step explanation:
The organic garden at a restaurant is rectangular in shape and has a perimeter of 84ft. This means that the total distance around the restaurant is 84ft.
Perimeter of a rectangle is expressed as 2(L + W)
L = length of the rectangle
W = width of rectangle.
Since the perimeter is 84ft
2(L + W) = 84
If the length of the garden is 24ft longer than the width of the garden, this means that
L = W + 24
Therefore
2(W +24 + W) = 84
2(2W +24) = 84
4W + 48 = 84
4W =84 - 48 = 36
W = 36/4 = 9
L = W + 24 = 9+24
L = 33 feet
Area if a rectangle is expressed as
Area = L× W
Area = 33 × 9 = 297 ft^2