Answer:
2.306
Step-by-step explanation:
u while times the number
Answer:
1183
Step-by-step explanation:
Common difference:
d = 31 - 15 = 16
nth term:
![a_n = a_1 + (n - 1)d](https://tex.z-dn.net/?f=%20a_n%20%3D%20a_1%20%2B%20%28n%20-%201%29d%20)
Here, ![a_1 = -1](https://tex.z-dn.net/?f=%20a_1%20%3D%20-1%20)
![a_{75} = -1 + (75 - 1)(16)](https://tex.z-dn.net/?f=%20a_%7B75%7D%20%3D%20-1%20%2B%20%2875%20-%201%29%2816%29%20)
![a_{75} = 1183](https://tex.z-dn.net/?f=%20a_%7B75%7D%20%3D%201183%20)
Answer:
8
Step-by-step explanation:
area of a triangle= b x h x 1/2 or b x h /2
the base is 4 and the height is 4
4x4/2
=16/2
=8
Answer: 0.84
Step-by-step explanation:
let p be the population proportion of adults who smoked a cigarette in the past week.
As per given , we have
![H_a: p](https://tex.z-dn.net/?f=H_a%3A%20p%20%3C0.30)
Sample size : n= 1491
The sample proportion of adults smoked a cigarette= ![\hat{p}=\dfrac{x}{n}=\dfrac{462}{1491}=0.30985915493\approx0.31](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cdfrac%7Bx%7D%7Bn%7D%3D%5Cdfrac%7B462%7D%7B1491%7D%3D0.30985915493%5Capprox0.31)
The test statistic for proportion is given by :-
![z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D)
Substitute all the values , we get
![z=\dfrac{0.31-0.30}{\sqrt{\dfrac{0.30(1-0.30)}{1491}}}\\\\=\dfrac{0.01}{\sqrt{0.000141}}\\\\=\dfrac{0.01}{0.011874342087}=0.84261497731\approx0.84](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B0.31-0.30%7D%7B%5Csqrt%7B%5Cdfrac%7B0.30%281-0.30%29%7D%7B1491%7D%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B0.01%7D%7B%5Csqrt%7B0.000141%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B0.01%7D%7B0.011874342087%7D%3D0.84261497731%5Capprox0.84)
Hence, the value of the test statistic = 0.84