Answer:
35 L
Step-by-step explanation:
Unit rate is 25/5 which is 5 and 5 x 7=35
Answer:
theta is 78 degrees, alpha is 85 degrees
Step-by-step explanation:
use the parallel lines
alternate interior angles means that theta + 112 = 180
and since the alternate interior of the 85 degree angle is a vrtical angle of alpha, they are equal
Answer:
Pythagorean Theorem and Sine
Step-by-step explanation:
you could use pythagorean theorem to find the 3rd side, then use inverse sine of c.
Using the equation a2 + b2 = c2
Subtract 13squared from 5squared
169-25
then take the square root of the answer- which is 12
then do the inverse of sine
that should give you the missing angle
Answer:
Step-by-step explanation:
Number 16. You should put yes
Number 17 put no
number 18 is yes
Number 19 is yes
number 20 is no
number 20 is no
Answer:
99.7%
Step-by-step explanation:
The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 10.4 years; the standard deviation is 1.9 years.
Use the empirical rule (68−95−99.7%) to estimate the probability of a meerkat living between 4.7 years and 16.1 years
The empirical rule states that almost all data fall within three standard deviations of the mean for a normal distribution. These are:
-
68% of data falls within the first standard deviation from the mean ( μ ± σ)
- 95% fall within two standard deviations ( μ ± 2σ)
- 99.7% fall within three standard deviations( μ ± 3σ)
Given that:
mean (μ) = 10.4 years and standard deviation σ = 1.9 years
The first standard deviation ( μ ± σ) = (10.4 ± 1.9) = (8.5, 12,4). Therefore, 68% of data falls between 8.5 years and 12.4 years
The second standard deviation ( μ ± 2σ) = (10.4 ± 2×1.9) = (6.6, 14.2). Therefore, 95% of data falls between 6.6 years and 14.2 years
The third standard deviation ( μ ± 3σ) = (10.4 ± 3×1.9) = (4.7, 16.1). Therefore, 99.7% of data falls between 4.7 years and 16.1 years
