Answer:
€4.20
Step-by-step explanation:
the have a 5 in 26 chance in winning so 26(letters in alphabet) - 5(vowels) =21
21÷5 =4.2
18 percent
= 18/100 = 0.18 Use your calculator.
So that is it as a decimal.
Answer:
8
Step-by-step explanation:
378-36-270=9x
72=9x
72÷9=9x÷9
8=x
X=8
Answer: The identity property of multiplication tells us that a number x 1 has a product equal to the number (itself).
Step-by-step explanation:
For example, 4 x 1 = 4. So when we multiply by a fraction that is less than 1, our product has to be less than the number we are multiplying the fraction by.
Answer:
d) Z= -1.49
Step-by-step explanation:
sample #1 ----->
first sample size,![n_1= 85](https://tex.z-dn.net/?f=n_1%3D%20%20%2085)
number of successes, sample 1 = ![x_1= 17](https://tex.z-dn.net/?f=x_1%3D%20%20%2017)
proportion success of sample 1 ,
sample #2 ----->
second sample size,
![n_2 = 80](https://tex.z-dn.net/?f=n_2%20%3D%20%20%20%2080)
number of successes, sample 2 = ![x_2 = 24](https://tex.z-dn.net/?f=x_2%20%3D%20%20%20%2024)
proportion success of sample 1 ,
difference in sample proportions,
![\bar p_1 - \bar p_2 = 0.2000 - 0.3000 \\\\= -0.1000](https://tex.z-dn.net/?f=%5Cbar%20p_1%20-%20%5Cbar%20p_2%20%3D%20%20%20%20%200.2000%20%20%20-%20%20%200.3000%20%20%20%5C%5C%5C%5C%3D%20%20%20-0.1000)
pooled proportion ,
![p = \frac{ (x_1+x_2)}{(n_1+n_2)}\\\\= 0.2484848](https://tex.z-dn.net/?f=p%20%3D%20%20%20%5Cfrac%7B%20%28x_1%2Bx_2%29%7D%7B%28n_1%2Bn_2%29%7D%5C%5C%5C%5C%3D%20%20%200.2484848)
std error ,
![SE=\sqrt{p*(1-p)*(\frac{1}{n_1}+\frac{1}{n_2} )} \\\\=0.06731](https://tex.z-dn.net/?f=SE%3D%5Csqrt%7Bp%2A%281-p%29%2A%28%5Cfrac%7B1%7D%7Bn_1%7D%2B%5Cfrac%7B1%7D%7Bn_2%7D%20%20%29%7D%20%5C%5C%5C%5C%3D0.06731)
Z-statistic = ![(\bar p_1 - \bar p_2)/SE = ( -0.100 / 0.0673 ) = -1.49](https://tex.z-dn.net/?f=%28%5Cbar%20p_1%20-%20%5Cbar%20p_2%29%2FSE%20%3D%20%28%20%20%20-0.100%20%20%20%2F%20%20%200.0673%20%20%20%29%20%3D%20%20%20-1.49)