Answer:
2+2=4, because 2 is made up of two ones and theres 2 2's which makes it 1+1+1+1=4
Step-by-step explanation:
2L + 2w = 112 ---> L + w = 56 ---> w = 56- L
Area = L*w = L(56-L) = 735
56L - L^2 = 735
0 = L^2 - 56L + 735
0 = (L - 21)(L - 35)
THe dimensions of the rectangle are 35 x 21
Using the Empirical Rule, it is found that the desired probabilities are given as follows.
a) P(x > 158) = 0.16.
b) P(149 < x < 152) = 0.135.
<h3>What does the Empirical Rule state?</h3>
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Additionally, considering the symmetry of the normal distribution, 50% of the measures are below the mean and 50% are above.
Item a:
158 is one standard deviation above the mean, hence the probability is given by, considering that 32% of the measures are more than 1 standard deviation from the mean:
P(x > 158) = 0.5 x 0.32 = 0.16.
Item b:
Between one and two standard deviations below the mean, hence:
P(149 < x < 152) = 0.5 x (0.95 - 0.68) = 0.5 x 0.27 = 0.135.
More can be learned about the Empirical Rule at brainly.com/question/24537145
Answer: Step 1: Multiply each term in the first binomial with each term in the second binomial using the FOIL method as shown Step 2: Combine like terms.
Step-by-step explanation:
