Let the require value be x, then
P(z > x) = 0.025
1 - P(z < x) = 0.025
P(z < x) = 1 - 0.025 = 0.975
P(z < x) = P(z < 1.96)
x = 1.96
Therefore, <span>the positive critical value that corresponds to a right tail area of 0.025</span> is 1.96
Answer:
They would be 44.6 miles apart
Step-by-step explanation:
Here, we want to calculate how far they will be in 1 hour
Mathematically;
Distance = speed * time
In 1 hour, Kiran would have traveled a distance of 3 * 1 = 3 miles
While Clare would have traveled a distance of 3.4 * 1 = 3.4 miles
Now, we want to calculate how far apart they would be
On the 24 miles trail, Kiran would be at a distance of 21 miles to the other end
On the 24 miles Claire would be at a distance of 20.6 miles
So how far apart they would be is
24 miles + 20.6 miles = 44.6 miles
Answer:
16.7552
Step-by-step explanation:
The Area of a sector of a circle is θ/360 pi r²
so,
30/360 x 3.142 x 8 x 8
= 16.7551 to four decimal places is
We are told that a population of insects grows exponentially and we are given a table of data about insect population growth. We are asked to find population of insects at the end of week 11.
The initial insect population is 20 and at the end of 1st week population increases to 30.
Let us find growth percentage of insect population,
We can see that insect population is growing at rate of 50% per week.
Now let us write an exponential function for our population.
, where P(w) represents population at the end of w weeks.
Let us substitute w=11 in our function to find insect population at the end of 11 weeks.
Therefore, population of insects at the end of 11th week will be 1730.
