Answer:
● 
Step-by-step explanation:
According to the Definition of Rational Exponents [part I], you can rewrite radicals as exponents:
![\displaystyle a^{\frac{m}{n}} = \sqrt[n]{a}^m \\ \\ \sqrt{y^2} = y, where\:any\:invisible\:exponent\:is\:ALWAYS\:1](https://tex.z-dn.net/?f=%5Cdisplaystyle%20a%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%20%3D%20%5Csqrt%5Bn%5D%7Ba%7D%5Em%20%5C%5C%20%5C%5C%20%5Csqrt%7By%5E2%7D%20%3D%20y%2C%20where%5C%3Aany%5C%3Ainvisible%5C%3Aexponent%5C%3Ais%5C%3AALWAYS%5C%3A1)
I am joyous to assist you anytime
Answer:
true
Step-by-step explanation:
Volume=pi*r squared*h
Volume=pi* 2 squared*3
volume=pi*4*3
volume=pi*12
volume=12pi
Answer is first one. 12pi
The mode is 7.9 according to my calculations. You find the number that appears the most in the set. If I am right, brainliest answer and thanks?
Answer:
z= 0.278
Step-by-step explanation:
Given data
n1= 60 ; n2 = 100
mean 1= x1`= 10.4; mean 2= x2`= 9.7
standard deviation 1= s1= 2.7 pounds ; standard deviation 2= s2 = 1.9 lb
We formulate our null and alternate hypothesis as
H0 = x`1- x`2 = 0 and H1 = x`1- x`2 ≠ 0 ( two sided)
We set level of significance α= 0.05
the test statistic to be used under H0 is
z = x1`- x2`/ √ s₁²/n₁ + s₂²/n₂
the critical region is z > ± 1.96
Computations
z= 10.4- 9.7/ √(2.7)²/60+( 1.9)²/ 100
z= 10.4- 9.7/ √ 7.29/60 + 3.61/100
z= 0.7/√ 0.1215+ 0.0361
z=0.7 /√0.1576
z= 0.7 (0.396988)
z= 0.2778= 0.278
Since the calculated value of z does not fall in the critical region so we accept the null hypothesis H0 = x`1- x`2 = 0 at 5 % significance level. In other words we conclude that the difference between mean scores is insignificant or merely due to chance.
