Step-by-step explanation:
no it is not because if 3 maps on 2, then it cannot map on -2 at the same time
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: Inequality
Step-by-step explanation:
From the question, if we can describe 15×-10 as an expression, then we would describe 6×-2< 35 as an inequality. An
inequality is used to compare two values, and shows if one is less than, or greater than, or maybe not equal to the other value.
For example, a ≠ b means that a is not equal to b and a < b means a is less than b while a > b means a is greater than b. From the question, 6×-2< 35 means that 6x - 2 is less than 35.
Answer:
Step-by-step explanation:
The measure of angle a is twice the measure of angle b. This means that
a = 2b
The measure of angle c is at least one degree more than the measure of angle a. This means that
c ≥ a + 1
c ≥ 2b + 1
if the sum of the three angles is at least 61 degrees, it means that
a + b + c = 61 - - - - - - - - - - - - - 1
Substituting a = 2b and c = 2b + 1 into equation 1, it becomes
2b + b + 2b + 1 = 61
5b = 61 - 1 = 60
b = 60/5 = 12
c ≥ 2× 12 + 1
c ≥ 25
25 ≥ a + 1
25 - 1 ≥ a
24 ≥ a
a ≤ 24
Therefore, the range possible measurements for angle b is
b ≤ 12
