Answer:
The inverse is ±sqrt((x-1))/ 4
Step-by-step explanation:
y = 16x^2 + 1
To find the inverse, exchange x and y
x = 16 y^2 +1
Then solve for y
Subtract 1
x-1 = 16 y^2
Divide by 16
(x-1)/16 = y^2
Take the square root of each side
±sqrt((x-1)/16) = sqrt(y^2)
±sqrt((x-1))/ sqrt(16) = y
±sqrt((x-1))/ 4 = y
The inverse is ±sqrt((x-1))/ 4
Answer: The exponents in the prime factorization are 2, 1, and 1. Adding one to each and multiplying we get (2 + 1)(1 + 1)(1 + 1) = 3 x 2 x 2 = 12. Therefore 315 has exactly 12 factors.
Step-by-step explanation: First, the exponents in the prime factorization are 2, 1, and 1. Then adding one to each and multiplying we get (2 + 1)(1 + 1)(1 + 1) = 3 x 2 x 2 = 12. Finally, 315 has exactly 12 factors.
Number > 5 - round up
Number = 5 - round up
Number < 5 - round and keep the number the same
7526.442
Hundredth = 2nd decimal place = 4
2 < 5
Round and keep the number the same
7526.44
Answer:
d. Two-sample t-test. There is no natural pairing between the two populations.
Step-by-step explanation:
A two-sample t - test is a test performed on the data of two random samples, each independently obtained from a different given population. The purpose of the test is to determine whether the difference between these two populations is statistically significant.
Independent samples are samples that do not affect one another. The mean math scores of the samples of boys and girls do not affect each other. They are independent samples, hence the correct test procedure is two - sample t - test
Answer:
(a) Not mutually exclusive
(b)80%
Step-by-step explanation:
Mutually Exclusive events are events which cannot occur at the same time. An example is walking forward and backward. When events are presented using Venn diagram, if the sets are disjoint, they are mutually exclusive, otherwise they are not.
(a)The given events "burger" and "fries" are not mutually exclusive since their intersection is not empty as can be seen from the attached Venn diagram.
(b) Probability that a randomly selected person from this sample bought a burger OR bought fries.
P(A or B)=
