Answer:
Step-by-step explanation:
The pool are is divided into 4 separated shapes: 2 circular sections and 2 isosceles triangles. Basically, to calculate the whole area, we need to find the area of each section. Due to its symmetry, both triangles are equal, and both circular sections are also the same, so it would be enough to calculate 1 circular section and 1 triangle, then multiply it by 2.
<h3>Area of each triangle:</h3>
From the figure, we know that <em>b = 20ft </em>and <em>h = 25ft. </em>So, the area would be:
<h3>Area of each circular section:</h3>
From the figure, we know that 
and the radius is 
. So, the are would be calculated with this formula:
Replacing all values:
Remember that 
Therefore, 
Now, the total are of the figure is:
Therefore the area of the symmetrical pool is
Answer:
a) 70 azulejos
b) 37500 litros
c) 37.5m³
Step-by-step explanation:
A piscina tem 5 m de comprimento, 3 m de largura e 2,5 m de profundidade.
Comprimento = 5m
Largura = 3m
Profundidade (altura) = 2,5 m
Calcular:
a) A quantidade de ladrilhos necessária para cobrir a piscina
Isso é calculado como a área de superfície da votação
A = 2 (wl + hl + hw)
A = 2 × (3 × 5 + 2.5 × 5 +2.5 × 3)
A = 70 m²
Observe que:
1 m² = 1 azulejo
70 m² = 70 azulejos
b) A quantidade de água que pode caber na piscina.
1 m³ = 1000 litres
O volume de uma piscina = Comprimento × Largura × Altura
= 5m × 3m × 2.5m
= 37.5m³
1 m³ = 1000 litros
37.5m³ =
37.5 × 1000 litros
= 37500 litros
c) seu volume em m³
O volume de uma piscina = Comprimento × Largura × Altura
= 5m × 3m × 2.5m
= 37.5m³
Answer:
= - 1.5n - 6
Step-by-step explanation:
Given that the sequence is arithmetic with n th term ( explicit formula
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 7.5 and d = - 9 - (- 7.5) = - 9 + 7.5 = - 1.5
= - 7.5 - 1.5(n - 1) = - 7.5 - 1.5n + 1.5 = - 1.5n - 6
Step-by-step explanation:
Answer:
The mean is 15.93 ounces and the standard deviation is 0.29 ounces.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
7% of the bottles containing this soft drink there are less than 15.5 ounces
This means that when X = 15.5, Z has a pvalue of 0.07. So when X = 15.5, Z = -1.475.
10% of them there are more than 16.3 ounces.
This means that when X = 16.3, Z has a pvalue of 1-0.1 = 0.9. So when X = 16.3, Z = 1.28.
From above
So
The mean is
The mean is 15.93 ounces and the standard deviation is 0.29 ounces.
The answer to the first part is D
