Answer:
c is all the points in the open interval (0,25)
Step-by-step explanation:
Here given is a function
, which is continuous in the interval [0,25] and differentiable in (0,25)
Mean value theorem says there exists at least one c in the interval (0,25) such that

We have

For the given function

Hence we have c equals all the points in the open interval (0,25)
Step-by-step explanation:
an object and its shadow create a right-angled triangle.
2 objects and their shadows create 2 similar right-angled triangles.
that means the angles are the same, and the side lengths of one triangle all correlate with the corresponding side lengths of the other triangle via the same factor.
so,
42 × f = 6
f = 6/42 = 1/7
the length of Joel's shadow is then
20 × f = 20 × 1/7 = 2.857142857... ft
Answer:
98% confidence interval: (29.25,38.87)
Step-by-step explanation:
We are given the following in the question:
Sample mean,
= 34.06
Sample size, n = 134
Sample standard deviation, s = 23.83
a) 98% confidence interval
Putting the values, we get,
b) If a 95% confidence interval were constructed with these data, confidence interval would be narrower as the confidence level is decreasing as compared to 98%
c) If a sample of 150 students had been studied, the width of confidence interval will decrease as the sample size increases.
In the default window of a graphing calculator, there is only one intersection that you see.
However, if you zoom out, you will see that they are 3 intersections to the pair of equations.
1500 ice cubes need to fill 1.5 L jar
Solution:
1 cm = 1 ml
Capacity of ice cube = 1 cm
= 1 ml
Capacity of jar = 1.5 L
1 L = 1000 ml
1.5 L = 1.5 × 1000
= 1500 ml
Capacity of jar = 1500 ml


= 1500
Therefore 1500 ice cubes need to fill 1.5 L jar.