Answer:
Part (A) and
Part (B) and
Step-by-step explanation:
Consider the provided statement.
Part (A)
Prior to menus displaying calorie counts, the average calorie intake of diners at a restaurant was 1100 calories. After calorie counts started to be displayed on menus, a nutritionist collected data on the number of calories consumed at this restaurant from a random sample of diners.
If there is no statistical significance in the test then it is know as the null which is denoted by , otherwise it is known as alternative hypothesis which denoted by .
: There is no change in the average calorie intake for diners.
: There is a difference in calorie intake for diners.
Part (B)
the average Verbal Reasoning score was calculated to be 462. In 2011 the average verbal score was slightly higher.
If there is no statistical significance in the test then it is know as the null which is denoted by , otherwise it is known as alternative hypothesis which denoted by .
: There is no change in the average VRS.
: There is an increase in the average VRS.
Answer:
HL Theorem
Step-by-step explanation:
Here, we see that both triangles have a right angle, making them right triangles. We know that the hypotenuse must be equivalent, as it is the same line. Furthermore, we see that one of the legs from each triangle are equivalent. Therefore, we can use HL Theorem to prove these triangles are equal.
Answer: Interest to be paid on the loan will be $6,468
Step-by-step explanation:
Isimple interest = Principal x Rate x Time
From the information given,
Principal = $11,550
Rate = 5.6% = 5.6/100 = 0.056
Time = 10years
Slot the values into the formula;
Interest= $11,550 x 0.056 x 10
=$6,468
Interest to be paid on the loan will be
= $6,468
Answer:
C
Step-by-step explanation:
The sum to infinity of a geometric series is
( - 1 < r < 1 ) ← substitute values
S( ∞ ) = = =
(z=x^2+y^2)1
r= 2*2=4
4*4=16