Answer:
x>-11
Step-by-step explanation:
2x+8>-14
2x>-14-8
2x>-22
x>-22/2
x>-11
x>-11
Answer:
The approximate area of the circle is 27.5184∧2
Step-by-step explanation:
In order to calculate the approximate area of the circle we would have to calculate the following formula:
approximate area of the circle=approximate area of one triangle*number of congruent sectors
number of congruent sectors=16
approximate area of one triangle=1/2*base*height
base=1.17 units
height=2.94 units
Therefore, approximate area of one triangle=1/2*1.17*2.94
approximate area of one triangle=1.7199 units∧2
Therefore, approximate area of the circle=1.7199 units∧2*16
approximate area of the circle=27.5184∧2
The coordinates of the midpoint if the endpoints are (x₁,y₁) and (x₂,y₂):

One endpoint is (3,5), the midpoint is (5,-11). The other endpoint is (x,y).

The coordinates of endpoint M are (7,-27).
Answer:
A) Population standard deviation is known.
B) Option 3
H0: μ =520,
H1: μ ≠ 520
z > 1.96 or z < -1.96
Step-by-step explanation:
A) The normal distribution should be used for the sample mean because the population standard deviation is known. Usually, when the standard deviation is unknown we don't use normal distribution except there is an underlying normal approximation.
B) Null Hypothesis:H0: μ =520,
Alternative hypothesis H1: μ ≠ 520
At 5% level of significance, from standard tables, we will reject H0 if;
The test statistic; z > 1.96 or z < -1.96
Answer: Option 3
Step-by-step explanation:
p=total price.
Lets say total price is $100
p=$100.
20% of p=0.2p
p-0.2p=price after 20% off
p-0.2p=
10(p-0.2p)/10=
(10p-2p)/10=
8p/10=0.8p
<u>p-0.2p and 0.8p ==> D and B ==> Option 3</u>