Answer: (A) H0: μ = 140 mg vs. H1: μ ≠ 140 mg
Step-by-step explanation:
Usually null hypothesis represents the claim that the values associated to the groups being tested have no statistical difference but alternative hypothesis supports the claim that there is statistical difference.
Let 
be the population mean .
We are given that the mean potassium content of a popular sports drink is listed as 140 mg in a 32-oz bottle.
i.e. Null hypothesis :
Alternative hypothesis for two tail hypothesis has sign (≠).
i.e. Alternative hypothesis : 
∴ The hypotheses for a two-tailed test of the claimed potassium content:
H0: μ = 140 mg vs. H1: μ ≠ 140 mg
Answer:
a. ∠B
b. DC
Step-by-step explanation:
a. Since ABCDE and GHJDF are similar shapes, this implies that the angle of one point in one shape is equal to another angle of one point in the other shape. In this case, ∠H is equivalent to ∠B because they share the same relative point between the shapes. You can also approach this question by identifying that H is the second letter in the shape name. If you look at B, you will also notice that the second letter in the shape name is B.
b. Just like in part a, you are trying to find one relative value in one shape that is equal to the other shape. Look at the left side of the equation, you will notice that it is a ratio of sides. The goal is to match the left with the right side. The ratio is side GH:DJ. Notice that it is a ratio of the top right side to the bottom side of the shape. If you follow this format for shape ABCDE , you will notice that the top right side is AB and the bottom side is DC. Since the question is just asking for the denominator of the ratio, your answer is just DC
Answer:
5) n * n * n * n * 6 * 6 * 6
6) 9 * 9 * x * x * x
7) 3 * 3 * 3 * y * y
Step-by-step explanation:
A scientist has collected the following data on the population of a bacteria colony over a thirty-minute period:
5 minutes: 78,000
10 minutes: 234,000
15 minutes: 657,000
20 minutes: 1,784,000
25 minutes: 5,040,000
30 minutes: 14,980,000
Which type of graph would be best to use to display the growth of the colony?
A.) a bar graph
B.) a circle graph
C.) a histogram
D.) a line graph
An bar graph suits the best in this type of study because we can easily understand the growth and decrease of that particular thing which is being studied.
Answer:
The Pythagorean Theorem in a^2 + b ^2 = c^2
It is used to solve for one side of a right triangle (any triangle where one angle is 90 degrees). Most of the times it is used to solve for the hypotenuse, which is represented by c. A and B represent the other sides of the triangle.
