Answer:
Step-by-step explanation:
Distance between Ace Supermarket is north of city hall and the post office is south of city.
This means that the city hall is in between the Ace Supermarket and post office.
Hence, the distance between the Ace Supermarket and post office is .
Answer:
y = 113
Step-by-step explanation:
Two adjacent angles of a parallelogram are always supplementary.
Answer: The Nth power xN of a number x was originally defined as x multiplied by itself, until there is a total of N identical factors. By means of various generalizations, the definition can be extended for any value of N that is any real number.
(2) The logarithm (to base 10) of any number x is defined as the power N such that
x = 10N
(3) Properties of logarithms:
(a) The logarithm of a product P.Q is the sum of the logarithms of the factors
log (PQ) = log P + log Q
(b) The logarithm of a quotient P / Q is the difference of the logarithms of the factors
log (P / Q) = log P – log Q
(c) The logarithm of a number P raised to power Q is Q.logP
log[PQ] = Q.logP
Step-by-step explanation:
Answer:
The critical value for this case can be calculated using the t distribution with 7 degrees of freedom and the critical value would be a value who accumulates 0.1 of the area in the right of the distribution and the best decision based on the possible options would be:
c). Reject H0 if test statistic is greater than 1.895.
Step-by-step explanation:
The system of hypothesis for this case are:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is given by:
The degrees of freedom are given by:
The p value for this case can be calculated from this probability:
The critical value for this case can be calculated using the t distribution with 7 degrees of freedom and the critical value would be a value who accumulates 0.1 of the area in the right of the distribution and the best decision based on the possible options would be:
c). Reject H0 if test statistic is greater than 1.895.
Using the Pythagorean theorem:
14^2 = 8^2 + x^2
196 = 64 + x^2
Subtract 64 from both sides:
132 = x^2
Take the square root of both sides:
X = 11.49
Rounded to nearest tenth = 11.5