equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2,
so in first box - h
in second box - k
after equal to box = r²
Answer: 1. When you estimate, it is not an exact measurement. 3ft 8 in gets rounded to 4ft and 12 ft 3 in rounds to 12ft. now find the perimeter. P=2l+2w P= 2*12 +2*4 P=32feet
2. 3ft 8in = 3 8/12 or reduced to 3 2/3 12ft 3in = 12 3/12 or reduced to 12 1/4 The fractional part is referring to a fraction of a foot.
3. The perimeter of the room is P=2l+2w or P=2(12 1/4) + 2(3 2/3) p=24 1/2 + 7 1/3 P= 31 5/6 feet
4. The estimate and the actual are very close. They are 1/6 of a foot apart.
5a. Total baseboard 31 5/6ft - 2 1/4 ft = 29 7/12 feet needed.
5b. Take the total and divide it by 8ft = 29 7/12 divided by 8= 3.7 You are not buying a fraction of a board so you would need 4 boards.
Answer:
-2x² + 4x + 2
Step-by-step explanation:
(1-8x²+3x)+(1+6x²+x)
= 1 - 8x² + 3x + 1 + 6x² + x
= -2x² + 4x + 2 [-2(x² - 2 - 1)]
Answer:
and 
Step-by-step explanation:
(a)
Expressing as a fraction
( divide numerator/ denominator by 2 )
=
← in simplest form
(b)
Expressing as a fraction
( divide numerator/ denominator by 10 )
=
← in simplest form
Answer:
H0 : μYellow = μGreen
H1 : μYellow < μGreen
Step-by-step explanation:
Let :
Yellow paper = μYellow
Green paper = μGreen
To test the hypothesis :
The null hypothesis is will state that there is no difference in mean of anxiety scores obtained for test taken of yellow and green papers
H0 : μYellow = μGreen.
The alternative hypothesis is the opposite of the null and it is to the left, where we want to test if the anxiety score is lower when take on a yellow paper
H1 : μYellow < μGreen