The maximum diameter of the spheres he can purchase is 1. 78 ft. Option C
<h3>How to determine the diameter</h3>
The formula for area of a sphere is expressed as;
Area = 4 πr²
If Selim paid $2 per square foot and have a maximum of $20 per square
The area he can purchase is;
= $20/$2
= 10$
Substitute the value into the formula
10 = 4πr²
10 = 4 × 3. 142 × r²
10 = 12. 568r²
Make 'r²' the subject
r² = 10/ 12. 568
r² = 0. 79
Find the square root of both sides
r = √0. 79
r = 0. 89
But diameter = 2(radius)
Diameter = 2 × 0. 89 = 1. 78 ft
Thus, the maximum diameter of the spheres he can purchase is 1. 78 ft. Option C
Learn more about spheres here:
brainly.com/question/10171109
#SPJ1
There is a theorem that states that RT =2TH.
3x - 7 = 2(x + 1)
3x - 7 = 2x + 2
x - 7 = 2
x = 9
Answer:
C. 13
Step-by-step explanation:
from on online source, the question should be placed as thus:
Of the following integers, which is the closest approximation to (√2 + √5)^2 ?
A. 7
B. 10
C. 13
D. 15
E. 17
This is known as Algebraic expression. So we have to expand to simplify further
using this identity th (a+b)^2 = a^2 + b^2 +2ab
(√2 + √5)^2 =
(√2 + √5)(√2 + √5)
................Expansion of the above

2 + 5 + 2√10
~ 2 +5 + 2(3)
C. 13
Answer:

Step-by-step explanation:
let blank be O


Answer:
The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
For this problem, we have that:
Sample of 421 new car buyers, 75 preferred foreign cars. So 
85% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).