There could be more than 100 births per minute as long as it equals to 3.3 million
Answer:
The probability that the sample proportion will be greater than 13% is 0.99693.
Step-by-step explanation:
We are given that a large shipment of laser printers contained 18% defectives. A sample of size 340 is selected.
Let
= <u><em>the sample proportion of defectives</em></u>.
The z-score probability distribution for the sample proportion is given by;
Z =
~ N(0,1)
where, p = population proportion of defective laser printers = 18%
n = sample size = 340
Now, the probability that the sample proportion will be greater than 13% is given by = P(
> 0.13)
P(
> 0.13) = P(
>
) = P(Z > -2.74) = P(Z < 2.74)
= <u>0.99693</u>
The above probability is calculated by looking at the value of x = 2.74 in the table which has an area of 0.99693.
Answer:
20
Step-by-step explanation:
Assume n is the number of times she pick a skittle out of the bag
The probability she pick out red : 8/n
The probability she pick out yellow : 12/n
=> The ratio of red and yellow skittle : 8/n : 12/n = 8/12 = 2/3, means every 2 red skittles we have 3 yellow ones.
But we have 50 skittles, so the likely numbers of reds in the bag is = 2*
= 20
Answer:
Option D. 
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u>and </u><u><em>the line passes through the origin</em></u>
<u><em>Verify each case</em></u>
case A) we have

Is a equation of the form
The value of k=-2
This equation represent a proportional relationship
case B) we have

Is a equation of the form
The value of k=2
This equation represent a proportional relationship
case C) we have

The line passes through the origin, because the y-intercept is b=0
This equation represent a proportional relationship
case D) we have

The line not passes through the origin, because the y-intercept is not equal to zero (b=2)
This equation not represent a proportional relationship
Y = -t ^ 2 + 300t - 16
We find the first derivative and calculate its roots.
We make the second derivative, and calculate the sign taken in it by the roots of the first derivative, and if:
f '' (a) <0 is a relative maximum
f '' (a)> 0 is a relative minimum
y '= - 2t + 300 = 0
-2t + 300 = 0
t = 300/2 = 150
y'' = - 2
y'' (150) = - 2 (is a relative maximum)
the highest point of the trajectory is reached for t = 150s.
The height for that time is
y = - (150) ^ 2 + 300 (150) - 16 = 67484
answer
67484
t = 150s.