Given:
Measure of exterior angle = 164°
The measure of opposite interior angles are x° and 53°.
To find:
The value of x.
Solution:
According to the Exterior Angle Theorem, in a triangle the measure of an exterior angles is always equal to the sum of measures of two opposite interior angles.
Using Exterior Angle Theorem, we get
Therefore, the value of x is 111.
Answer:
Step-by-step explanation:
Given that to save money, a local charity organization wants to target its mailing requests for donations to individuals who are most supportive of its cause.
Men women
Sample size 5 5
Mean rate 6.2 5.3
Mean diffference =
Std error for difference = 0.25 (given)
Since we have two groups and also sample sizes are very small we can use t significant value for finding out confidence interval
df = 5+5-2 =8
t critical value for 80% two tailed = 1.397
Conf interval 80%
=
Answer:
The expected number of times is 4.
Step-by-step explanation:
Looking at the question, we see that this follows a geometric distribution because it is asking for the expected number of trials hat will bring about the FIRST SUCCESS. The probability of success is
Since it is a geometric distribution, we know that the expected value of a random variable X, E(X) that follows a geometric distribution is given as:
E(X) = 1/p where p is the probability of success.
Therefore, the expected number of times will be
E(X) = 1/(1/p) = 1/(1/4) = 4.
Hence, the expected number of times is 4.