Sample size= n= 84
sample mean= x = 107 s
population standard deviation =σ= 11.7
As, population standard deviation is given so we use the estimate:
x(+/-) z(α/2)(σ/√n)
At 99% Confidence interval means significance level is α=1-0.99= 0.01
So,
α/2=0.005
Now, z at α/2=0.005
z= 2.576
Now, by putting values
107(+/-)((2.576)(11.7/√84))
( 107-((2.576)(11.7/√84)), 107+((2.576)(11.7/√84)) )
(103.7, 110.288)
Answer:
5 represent calories from other ingredients
c= 5 1/2 grams
Step-by-step explanation:
Total calories=c grams of carbohydrates + other ingredients
Total calories in granola bite=27
The equation 4c + 5 = 27 represents the relationship between these quantities
1. 5 represent calories from other ingredients
2. Priya said that neither 8 nor 3 could be the solution to the equation
4c + 5 = 27
When the solution is 8
4(8)+5=27
32+5=27
37 =27
Solution 8 gives a higher calories than total calories
When solution is 3
4(3)+5=27
12+5=27
17=27
Solution 3 gives a lower calories than total calories
3. Solution to the equation
4c + 5 = 27
Subtract 5 from both sides
4c+5-5=27-5
4c=22
Divide both sides by 4
c=22/4
=5 2/4
=5 1/2
c= 5 1/2 grams
Answer:
314.16
Step-by-step explanation:
Area=πr2
d=2r
Solving for Area
A=1
4πd2=1
4·π·202≈314.15927
B. natasha,because what is 27-11? 16 and which one is higher 11 (stephen) or 16(natasha) hope this helps! :)
Answer:
All points on line x+y = 0 or x-y=0 will satisfy the transformation.
Step-by-step explanation:
Let (x, y) be the general such point.
Hence rotating it by 180 deg. counterclockwise will give us (-y,-x).
Reflecting (-y,-x) on x axis gives us (-y,x).
Hence if (x,y) = (-y,x) then all ( x, y) where x = -y or x+y = 0 or x=y or x-y=0 will satisfy this condition.
All points on line x+y = 0 or x-y=0 will satisfy the transformation.
