Answer:
The volume of the cube is;
Step-by-step explanation:
The parameters of the prism are;
The number of cubes used to fill the prism, n = 70 cubes
The side length of each cube, s = 1/2 unit
The volume of the cube, V = n × s³
∴ Therefore, the volume of the cube, V = 70 × (1/2)³ = = 8.75 cube unit
Answer:
y = 3
Step-by-step explanation:
Substitute the given points into the function and solve for a and b
Using (2, 12)
12 = ab² → (1)
Using (5, 96)
96 = a → (2)
Divide (2) by (1)
=
, that is
b³ = 8 ( take the cube root of both sides )
b = = 2
Substitute b = 2 into (1) and solve for a
12 = a2² = 4a ( divide both sides by 4 )
3 = a
Thus
y = 3 ← is the exponential function
Using the z-distribution, as we have a proportion, the 95% confidence interval is (0.2316, 0.3112).
<h3>What is a confidence interval of proportions?</h3>A confidence interval of proportions is given by:
In which:
In this problem, we have a 95% confidence level, hence, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
We also consider that 130 out of the 479 season ticket holders spent $1000 or more at the previous two home football games, hence:
Hence the bounds of the interval are found as follows:
The 95% confidence interval is (0.2316, 0.3112).
More can be learned about the z-distribution at brainly.com/question/25890103