Answer:
95% Confidence interval: (96.06,103.94)
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 85
Sample mean, 
= 100
Sample size, n = 30
Alpha, α = 0.05
Population standard deviation, σ = 11
95% Confidence interval:
Putting the values, we get,
(96.06,103.94) is the 95% confidence interval for the population mean test score.
Answer:
Area = 64π
Area \: = \pi {r}^{2}Area=πr
2
64 \: \pi \: = \pi {r}^{2}64π=πr
2
{r}^{2} = \dfrac{64\pi}{\pi}r
2
=
π
64π
{r}^{2} = 64r
2
=64
r \: = \: \sqrt{64} = 8r=
64
=8
Radius = 8 units
Finding the Diameter -
Diameter = Radius x 2 = 8 x 2 = 16 .
\bold{Diameter \: is \: 16 \: units}Diameteris16units
Fifthteen(15)xseventy (70)= 1,050
Answer:
Step-by-step explanation:
y=2x²-6x+3
y=2x+3
2x²-6x+3=2x+3
2x²-6x+3-2x-3=0
2x²-8x=0
2x(x-4)=0
x=0,4
y=0+3=3
and y=2(4)+3=11
so solutions are (0,3) and (4,11)
We know that
[area old square]=x*x--------> x²
[area new square]=(x+6)*(x+6)-------> (x+6)²-----> A=x²+12x+36
the answer is
An <span>expression to represent the area of the new square is (</span>x²+12x+36)
