Hello,
Let 's a the width,
b the heigth
2a+b=80==>b=80-2a
Area=A(a,b)=a*b=a*(80-2a)
=-2a²+80a
=-2(a²-2*20a+20²-20²)
=-2(a-20)² +800
Area is maxi if a=20 and area max=800
Answer:
Step-by-step explanation:
Given that two well-known aviation training schools are being compared using random samples of their graduates
Fly more academy 70 of 140
Blue Yonder 104 of 260
Combined pass = (70+104) out of (140+260)
a) Pooled proportion=
b) H0: p1 = p2
Ha: p1 ≠p2
(two tailed test)
p difference= 
std error for difference (using pooled proportion) = 
Test statistic = p difff/std error = 4.034
c) Critical value for 0.05 is 1.96
d) p value is < 0.005
Since p < 0.05 our significant level we reject H0
There is significant difference between the two proportions.
Step-by-step explanation:
Whenever we put a negative number inside a modulus function it will give us the positive output. For example , |-3| = 3 , |-6|=6, |5|= 5 ,etc.
So a modulus function i.e. |x| is always greater than zero ( positive ) when x is any number except 0 and it is equal to zero when the value of x is 0.
So |x| can't be less than -4 as |x| is always positive . So the statement is false.
Answer:
0.24 and 1.32
Step-by-step explanation:
you divide 2.28 by 9.5 for the first answer then multiply that answer by 5.5
Answer:
a) <u><em>y = 9.187 * 1.09899^x</em></u>
b) <u><em>2647.2695</em></u>
Step-by-step explanation:
a) using calculator, (mine is ti84 plus ce), we use stat and edit. we plug in x and y. x will be in the L1 and y wil be in L2. Now, we go to stat, calc, and we press ExpReg, short for exponential regression. we calculate and get <u><em>y = 9.187 * 1.09899^x</em></u>
you can round if you want. well, i guess you shouldn't, cuz it changes it dramatically
b) Now, we use <u><em>y = 9.187 * 1.09899^x </em></u> into the y= and we put it in whatever slot we want. Now, we press trace. we press 60 to find the y,because the number is always x. the number , y, we want is <u><em>2647.2695</em></u> recommendations.