Answer:
y=-x+3 follows the same equation as y=mx+b
3 is b, and b is the y-intercept. The y intercept is where the line crosses on the y axis, and -x is is m, which is the slope. However since its a variable, its point is on the same number as positive three on the y axis, so then its 3 on the x axis.
Step-by-step explanation:
Hope this helped
4/4 is bigger than 7/8 because if u divide 4/4 it equals to 1 and 7/8 is 0.875 so which is bigget 4/4 or 7/8 4/4 i hope this helps have a nice day =)
To find the surface area, use the formula for surface area of a cylinder:
S.A. = 2πrh + 2πr², where r is the radius and h is the height.
The radius and height are given as follows.
r = 5
h = 16
Plug these values into the formula and solve to find the S.A.
S.A. = 2πrh + 2πr²
S.A. = 2π(5)(16) + 2π(5)²
S.A. = 2π80 + 2π25
S.A. = 160π + 50π
S.A. = 210π
Since we are leaving our answer in terms of pi, we don't need to do anything more.
Answer:
S.A. = 210π cm²
Answer:
CI 99% = ( - 0.0009 ; 0.0541 )
Step-by-step explanation:
Sample 1 New Yorkers
sample size n₁ = 558
x₁ = 193
p₁ = x₁/n₁ = 193/ 558 p₁ = 0.3458 q₁ = 1 - p₁ q₁ = 1 - 0.3458
q₁ = 0.6542
Sample 2 Californians
sample size n₂ = 614
x₂ = 196
p₂ = x₂/n₂ = 196 / 614 p₂ = 0.3192 q₂ = 1 - p₂ q₂ = 1 - 0.3192
q₂ = 0.6808
CI 99 % means significance level α = 1 αα% α = 0.01
α/2 = 0.005
In z-table we look for z score for 0.005 z (c) = 2.57
CI 99 % = [ ( p₁ - p₂ ) ± z(c) * √( p₁*q₁)/n₁ + ( p₂*q₂)/n₂
p₁ - p₂ = ( 0.3458 - 0.3192 ) = 0.0266
√( p₁*q₁)/n₁ + ( p₂*q₂)/n₂ =√ 0.3458*0.6542)/558 + 0.3192*0.6808)/614
√( p₁*q₁)/n₁ + ( p₂*q₂)/n₂ = √ 4.05*10⁻⁴ + 3.54 * 10⁻⁴
√( p₁*q₁)/n₁ + ( p₂*q₂)/n₂ = 10⁻² * √7.59 = 10⁻² * 2.75
Then:
CI 99 % = 0.0266 ± 2.75 * 10⁻²
CI 99% = 0.0266 ± 0.0275
CI 99% = ( - 0.0009 ; 0.0541 )
