Answer:
And we can find this probability using the z table and we got:
Step-by-step explanation:
Let X the random variable that represent the thickness of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the z table and we got:
Answer:
The answer is c
I just answered the question on edunity
Answer:
10 cm
Step-by-step explanation:
Given:
No. of small spherical bulb = 1,000
radius (r) of smaller bulbs = 1 cm
Required:
radius of the bigger bulb
SOLUTION:
The following equation represents the relationship of the volume of the smaller and bigger bulb,

Where,
= volume of bigger bulb
= volume of smaller bulb
1,000 is the number of smaller bulbs melted to form the bigger bulb.
Volume of a sphere is given as, ⁴/3πr³
Therefore:
= ⁴/3*π*r³ = 4πr³/3
= ⁴/3*πr³ = ⁴/3*π*(1)³ = ⁴/3π*1 = 4π/3
Plug the above values into the equation below:





(12pie cancels 12 pie)
(taking the cube root of each side)
Radius of the bigger bulb = 10 cm
Answer:
P(more than 2 don't show up)=0.2031
Step-by-step explanation:
Multiplication rule for independent events:
If two events A and B are independent then the multiplication rule state that:
P(A and B)= P(A) x P(B)
Find the probability that more than two do not show up:
The probability that the reservations at the restaurant do not show up is 0.20 (=20%) and there were 8 reservations.
P(more than 2 don't show up)= 1- P(less than or equal to 2 don't show up)
= 1-( P(none show up) +P(one don't show up)+P(two don't show up)
=1- ((0.8⁸) +₈ C₁ (0.2¹)x(0.8⁷) +₈ C₂ (0.2²)x(0.8⁶)
=1- (0.1678 +0.3355+0.2936)= 1-0.7969
P(more than 2 don't show up)=0.2031
The activity type would be the input and the cost would be the output. Because there are two different costs for the same activity, this would not be a function.