Answer:
The Probability = 0.16
Step-by-step explanation:
Empirical rule formula states that:
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
Average = 13.1 years
Standard deviation = 1.5 years
x = 14.6 years
= 14.6 -13.1/1.5
= 1
This falls within 1 standard deviations of the mean
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
Hence:
100 - 68%/2 = 32/2 = 16%
Converting to probability = 0.16
The probability of a meerkat living longer than 14.6 years is 0.16
Answer:
-7 is your answer
Step-by-step explanation:
hope it helps
The volume of the composite figure is the third option 385.17 cubic centimeters.
Step-by-step explanation:
Step 1:
The composite figure consists of a cone and a half-sphere on top.
We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.
Step 2:
The volume of a cone is determined by multiplying 
with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.
The radius is 4 cm and the height is 15 cm.
The volume of the cone :
cubic cm.
Step 3:
The area of a half-sphere is half of a full sphere.
The volume of a sphere is given by multiplying 
with π and the cube of the radius (r³).
Here the radius is 4 cm. We take π as 3.1415.
The volume of a full sphere 
cubic cm.
The volume of the half-sphere 
cubic cm.
Step 4:
The total volume = The volume of the cone + The volume of the half sphere,
The total volume 
cub cm. This is closest to the third option 385.17 cubic centimeters.
135
with math any absolute number cant be negative so you just make it positive
