Answer:
A one-tailed hypothesis will be used to perform the test.
Step-by-step explanation:
The purpose of the marketing research consultant hired by Coca-Cola is to determine whether the the proportion of customers who prefer Coke to other brands is over 50%.
The marketing research consultant selected a random sample of <em>n</em> = 200 customers. The sample proportion of people who favored Coca-Cola over other brands was 55%.
The marketing research consultant can perform a single proportion hypothesis test to determine whether greater than 50% of customers prefer Coca-Cola to other brands.
Since we need to determine whether the population percentage is greater than a null value, the hypothesis is not two-tailed.
The hypothesis can be defined as:
<em>H₀</em>: The proportion of people who favor Coca-Cola over other brands was 55%, i.e. <em>p</em> = 0.50.
<em>Hₐ</em>: The proportion of people who favor Coca-Cola over other brands was more than 55%, i.e. <em>p</em> > 0.50.
Thus, a one-tailed hypothesis will be used to perform the test.
x = 30
Step-by-step explanation:
If you write out the equation, "The quotient of a number and five equals nine less than one half of the number." Then you get the equation:
First get rid of the denominator. Multiply by a least common multiple. (10) Then you have:
Get the variable on one side by subtracting 2x from both sides:
Add 90 to both sides:
Divide by 3 on both sides:
Answer:
The tree is approximately 91.2 ft tall.
Step-by-step explanation:
Hi there!
We're told:
- angle of elevation = 69 degrees
- there is a point 35 feet from the tree
If we were to draw this out, it would appear to be a right angle triangle. See the picture below.
Now, to solve for the height of the tree, we can use the sine law:
where a and b are two sides of a right triangle and A and B are the respective opposite angles
Let the height of the tree = h.
Side h is opposite of the angle measuring 69 degrees:
Let the angle opposite of the side measuring 35 feet = A.
Because the sum of a triangle's interior angles is 180 degrees, we know that A=180-90-69=21 degrees.
Use the sine law:
Therefore, the tree is approximately 91.2 ft tall.
I hope this helps!
Given:
∠PRS and ∠VUW are supplementary.
To prove:
Line TV || Line QS
Solution:
Step 1: Given
∠PRS and ∠VUW are supplementary.
Step 2: By the definition of supplementary angles
Step 3: Angles forming a linear pair sum to 180°
Step 4: By transitive property of equality
step 2 = step 3
Step 5: By algebra cancel the common terms in both side.
Step 6: By converse of corresponding angles postulate
Line TV || Line QS
Hence proved.
Two i believe (where it’s intersecting the x-axis)