Step-by-step explanation:
the slope of the first one is 1/2
4-2/12-8 = 2/4 = 1/2
the slope of the second is
(0,-2) (1,2)
2- -2/ 1-0 = 4/1 = 4
so randomly writing a function with a slope of 3 (because 3 is greater than 1/2 but less than 4)
y = 3x + 1
Answer:
The number of people in one session that will spend within two standard deviations below the mean and one standard deviations above the mean time on Facespace is 394 people
Step-by-step explanation:
The given information are;
The mean time spent of Facespace, μ = 30 minutes
The standard deviation of the time spent daily, σ = 6 minutes
The number of people in one sitting, n = 2900 people
The time spent two standard deviations below the mean = 30 - 12 = 18 minutes
The time spent one standard deviations above the mean = 30 + 6 = 36 minutes
The Z-score values are;

Which gives;
For x = 30

For x = 18

From the z-score table, we have;
P(Z > -2) = 1 - 0.02275 = 0.97725
P(Z < 1) = 0.84134
Therefore, the probability P(-2 < Z < 1) = 0.97725 - 0.84134 = 0.13591
Given that there are 2900 are on in one sitting, the number of them that will lie within two standard deviations below the mean and one standard deviations above the mean = 2900 × 0.13591 = 394.139 which is approximately 394 people.
Answer:
? = 140
Step-by-step explanation:
Use similar triangles and laws of proportions.
36/56 = 90/?
36 * ? = 56 * 90
? = 56 * 90/36
? = 140
Answer:
Its 41.62
Step-by-step explanation:
Given:
Consider the below figure attached with this question.
To find:
The measure of angle r by using the cosine rule.
Solution:
According to Law of Cosine,

Using the Law of Cosine, we get




On further simplification, we get






Therefore, the measure of angle r is 106.78 degrees.