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
Given:
Point( 7, 5)
x = 7 and y=5
slope(m) = 1
We need to first find the intercept.
Substitute x=7, y=5 and m=1 into y=mx + b and solve for intercept(b)
5 = 1(7) + b
5 = 7 + b
5 - 7 = b
-2 = b
Now, form the equation by substituting the value of the slope and intercept into y=mx + b
y = x - 2
Answer:
pay back oh pay back, i warned you i would do it back
Step-by-step explanation:
Triangle ABD and triangle CDB are similar because:
-it is given that angle A and angle C are equal, both 90
-angle ABD and angle CDB are equal because they are alternate interior angles
- side DB and side DB are the same length
- two triangles are equal because of AAS