Answer:
b. It is used to construct confidence intervals for the population mean when the population standard deviation is known
Step-by-step explanation:
Student's t-distribution, also called sometimes just as t distribution, is a probability distribution that is used to estimate population parameters when you have small sample size, specifically when sample size is less than 30, or when the population standard deviation is unknown.
The t distribution allows us to conduct statistical analyses on samples that does not satisfy the conditions for applying <em>standard normal distribution</em>.
Two solutions were found :<span> x = 1 x = -2
.......................</span>
Answer:
m<CDE=66 degrees.
Step-by-step explanation:
(1) Extend the segment DC so it intersects with line BA. Call the intersection F.
(2) Consider triangle BCF. In here, we are given m<ABC=24 deg. Since m<BCD = 90 deg, we known that m<BCF = 90 deg. Knowing two angles in the triangle BCF lets us determine the rhird angle m<BFC = 180-90-24 = 66 deg.
(3) Because of the fact that AB || DE and the fact that line DF intersects AB and DE, the angles <BFC and <CDE are congruent. Therefore m<CDE=66 deg.
Answer:
B. x= 4
Step-by-step explanation:
We know that,
The result for the intersection of the secant and the tangent is given by by the figure below,
According to the question, we have,
i.e.
i.e.
Now, the solution of a quadratic equation is given by,
So, we get,
implies a= 1, b= 12 and c= -64.
Thus, the solution is given by,
i.e.
i.e.
i.e.
i.e. and i.e.
i.e. and i.e.
i.e x= -16 and x= 4.
Since, length cannot be negative.
So, we have, x= 4.
Answer:
41 dollars
Step-by-step explanation:
she gets four dollars a week for five weeks, which is 20, plus 21 dollars she already has