A cylindrical swimming pool has a diameter of 16 feet and a height of 4 feet. About how many gallons of water can the pool conta
2 answers:
Answer:
6032 gallons
Step-by-step explanation:
The diameter of the cylindrical swimming pool is 16 ft
The height(h) of the pool is 4 ft
Volume of a cylinder is given by;
Volume (v) = π × r² × h
Radius (r) = 16/2 ft = 8 ft
v = π × (8 ft)² × 4ft = 804.247719319ft³
Given; 1ft³ = 7.5 gallons (gal)
804.247719319ft³ would equal to how many gallons?
Cross multiplying gives,
× 7.5 gal = 6031.85789489
Which equals to 6032 gallons rounded up to whole number.
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Answer:
p ( x > 2746 ) = p ( z > - 1.4552 )
= 1 - 0.072806
= 0.9272
This shows that there is > 92% of a republican candidate winning the election hence I will advice Gallup to declare the Republican candidate winner
Step-by-step explanation:
Given data:
51% of male voters preferred a Republican candidate
sample size = 5490
To win the vote one needs ≈ 2746 votes
In order to advice Gallup appropriately lets consider this as a binomial distribution
n = 5490
p = 0.51
q = 1 - 0.51 = 0.49
Hence > 5 while
< 5
we will consider it as a normal distribution
From the question :
number of male voters who prefer republican candidate ( mean ) ( u )
= 0.51 * 5490 = 2799.9
std = =
= 37.0399 ---- ( 1 )
determine the Z-score = (x - u ) / std ---- ( 2 )
x = 2746 , u = 2799.9 , std = 37.0399
hence Z - score = - 1.4552
hence
p ( x > 2746 ) = p ( z > - 1.4552 )
= 1 - 0.072806
= 0.9272
This shows that there is > 92% of a republican candidate winning the election hence I will advice Gallup to declare the Republican candidate winner
solve: = 2
Answer:
a. x= 5
Step-by-step explanation:
To solve the question given, we will follow the steps below;
= 2
multiply x to both-side of the equation
× x= 2× x
at the left-hand side of the equation, x will cancel-out x, leaving us with 10
10 = 2x
divide both-side of the equation by 2
10/2 = 2x/2
at the right-hand side of the equation, 2 at the numerator will cancel-out 2 at the denominator leaving us with just x, while on the left-hand side of the equation, 10 will be divided by 2
5 = x
x=5