Given that the window is rectangular on three sides with semi-circular top and with the following dimensions: 4 as the length and 3 as the width. We can calculate the perimeter using the given values, and it gives us the perimeter of 15.71 feet.
The number of bacteria grown in 32 hours is 15771
<u>Step-by-step explanation:</u>
It is given that,
Researchers recorded that a group of bacteria grew from 100 to 7,000 in 14 hours.
Therefore, the bacteria has grown from 100 to 7000 in 14 hours.
<u>
To calculate number of bacteria grown in 14 hours :</u>
⇒ 7000 - 100 = 6900
6900 bacteria grows in 14 hours. We need to find out the growth of bacteria in 1 hour in order to calculate its growth in 32 hours.
<u>To calculate number of bacteria grown in 1 hour :</u>
⇒ Total bacteria growth in 14 hours / 14
⇒ 6900 / 14
⇒ 492.85
<u>To calculate number of bacteria grown in 32 hours :</u>
⇒ 492.85 × 32
⇒ 15771.2
⇒ 15771 (rounded to nearest whole number)
∴ The number of bacteria grown in 32 hours is 15771
Answer:
a spinner divided into 4 congruent sectors, spun 7 times
Step-by-step explanation:
Answer:
a) 60%
Step-by-step explanation:
This problem can be solved through binomial probability
Let's say probability of success is the probability of absent
p = 5% = 0.05
Probability of failure
q = 1-p = 0.95
The number of trial in this case is the number of employees randomly selected
n = 10
Since we are looking for 0 absent employee, we are looking for the probability that the success is nil (i.e 0)
x = 0
Binomial therorem
B(n,x,p) = B(10,0,0.05)
= C(10,0) * p^x * q^(n-x)
= 1 * (0.05^0) * (0.95^10)
= 1 * 1 * 0.95^10
= 0.59873693923
= 0.6 or 60%
Answer:
And rounded up we have that n=1068
Step-by-step explanation:
We have the following info given:
the confidence level desired
represent the margin of error desired
The margin of error for the proportion interval is given by this formula:
(a)
The confidence level is 95% or 0.95, the significance is 
and the critical value for this case using the normal standard distribution would be 
Since we don't have prior information we can use 
as an unbiased estimator
Also we know that 
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
And replacing into equation (b) the values from part a we got:
And rounded up we have that n=1068
