Answer:
El volumen del cilindro mostrado en la figura es de 628 metros cúbicos
Explicación paso a paso:
La figura proporcionada se refiere a un cilindro
La altura del cilindro = h = 8 metros
El radio de la base del cilindro = r = 5 metros
Ahora, definamos el volumen del cilindro = V m³
Por lo tanto, el volumen del cilindro está dado por V = 
×r²×h
donde r es el radio de la base
y h es la altura del cilindro
El valor de = 3.14
Así que, V = × r² × h
O, V = 3.14 × (5)² × 8
O, V = 3.14 × 25 × 8
o, V = 628 m³
Así que, el volumen del cilindro es V = 628 m³
Por lo tanto, el volumen del cilindro mostrado en la figura es de 628 metros cúbicos
To find the IQR (Interquartile Range) from the given information: Minimum = 15 min, Q1 = 27 min (25th percentile), Q2 = 31 min (median), Q3 = 32 min (75th percentile), Maximum = 50 min. The IQR calculation is IQR = Q3 - Q1 = 32 - 27 = 5. For identifying outliers, apply the k = 1.5 rule. The expected range is [Q1 - 1.5*IQR, Q3 + 1.5*IQR] = [27 - 1.5*5, 32 + 1.5*5] = [19.5, 39.5]. The actual range is [15, 50]. The minimum value is below 19.5, and the maximum value exceeds 39.5. Hence, outliers are present. Conclusion: Outliers exist.
Response:
1/6
Detailed explanation:
Let
c -----> the count of cola bottles chosen by Dan
s -----> the count of smarties selected by Dan
m -----> the count of marshmallows selected by Dan
we have
c=3s -----> A equation
m=2s -----> B equation
we understand that
To determine the fraction of the sweet bag that consists of smarties, we must divide the number of smarties by the total amount of sweets
The overall number of sweets is calculated as
(c+s+m)
substituting equations A and B into the total sweets
(3s+s+2s) =6s
Calculate the fraction
s/6s
Reduce it
1/6
Details provided:
Confidence level = 90%
Mean = 71 beats per minute
Standard deviation = 6 beats per minute
The formula for margin of error is z * δ / √n.
Where δ represents the population standard deviation and n is the sample size; z denotes the corresponding z-value.
For a 90% confidence level, the z-value is 1.645.
Thus, the margin of error is calculated as 1.645 * (6/√80) = 1.645 * (6/8.94) = 1.645 * 0.671 = 1.104.
Answer:
together they rake 
leaves in one minute.
Step-by-step explanation:
If Maya takes x minutes to rake, then in one minute, she rakes 
leaves.
For Carla, if her raking takes y minutes, in one minute she rakes 
leaves.
Thus, to find the amount they work together in one minute, we add both of their contributions for that minute, resulting in: 
Finally, simplifying this expression gives:
As a result, they collectively rake leaves in a minute.
