Answer:
0.8508
Step-by-step explanation:
In this question, we are asked to estimate the probability of getting at least 12 correct answers.
X ~ Bin ( n , p)
Where n = 60 , p = 1/4 = 0.25
Mean = np = 60 * 0.25 = 15
Standard deviation = sqrt [ n p ( 1 - p) ] = Sqrt [ 60 * 0.25 ( 1 - 0.25) ] = 3.3541
Using normal approximation
P(X < x) = P(Z < ( x - mean) / SD )
P(X >= 12) = P(X > 11.5)
= P(Z > ( 11.5 - 15) / 3.3541 )
= P(Z > -1.04)
= P(Z < 1.04)
= 0.8508
Answer:
82
Step-by-step explanation:
triangle adds upto 180 degrees
180 - (53+45) = 98
Then two lines adapt to 180 degrees
therefore, 180 -98 = 82
Answer:
36 inches
Step-by-step explanation:
Given data
Area of triangle =2 1/4 square inches
Area =9/4 square inches
Height of triangle =1/8 inches
We know that the expression for the area of triangle is
Area = 1/2Base *Height
9/4=1/2*Base *1/8
9/4=Base/16
Cross multiply
16*9=Base*4
144=Base*4
Base =144/4
Base=36 inches
Answer:
141
Step-by-step explanation:
We need to first find the volume of the cannonballs and then, divide the volume of the closet by the volume of the cannonballs.
The radius of the spherical cannonball is 0.75 feet.
The volume of a sphere is:
where r = radius
Therefore, the volume of the cannonballs is:
Therefore, the number of cannonballs that can fit the closet is:
250 / 1.77 = 141.24
Since the number is a maximum and it must be a whole number, the number of cannonballs that can fit the closet is 141.
Answer:
the awnser I got is 279
Step-by-step explanation:
if it's wrong I'm so sorry I'm not the best at math >-<