Answer:
z= 2.38
P = 0.008656
Step-by-step explanation:
Here n= 500 and p~= 464/500= 0.928 and q`= 1- 0.928 = 0.072
We formulate our null and alternate hypothesis as
H0 = 0.9 ; H0 > 0.9
The degree of confidence = 90%
z₀.₀₅ = 1.645 for α= 0.05
We use the test statistic
z= x- np/√npq
z= 466-500 *0.9/ √500 * 0.9(1-0.9)
z= 466- 450/ √45
z= 16/6.7082
z= 2.38
As the calculated value of z= 2.38 is greater than α =1.645 so we reject H0.
If H0 is true the P value is calculated as
P = 1- Ф( 2.38)
P = 1-0.991344=0.008656
Answer:
The amount of the supplement in Niklas' body immediately after the 12th dose is 4.30 micrograms.
Step-by-step explanation:
Half life is the time required for an element to decay into half of its initial size. The supplement has a half life of 4 hours means that it decay to half of its size every 4 hours. Therefore there are 6 stages of division in a day.
i.e
×
×
×
×
×
= 
The amount of the supplement in Niklas' body after the first dose (first day) can be determined by;
=
× 25
= 0.390625 micrograms
He used the supplement daily for 12 days (12th dose), but the amount of the supplement in his body immediately after the 12th dose would be;
amount in his body per day × number of period for complete decay
= 0.390625 × 11
= 4.296875
The amount of the supplement in Niklas' body immediately after the 12th dose is 4.30 micrograms. This is because immediately after the 12th dose, the supplement has not reach its half life.
how dI I exit out of thiss
330 miles are driven in 5 hrs and 45min at a speed limit of 56mph
Answer: slope intercept is solve for y
Step-by-step explanation:
point slope
y-y1=m(x1,y1) and the slope is m
given
slope=3
a point i (4,7)
y-7=3(x-4)
solve for y
y-7=3x-12
add 7 both sides
y=3x-5 is slope intercept form