You have to divide first then subtract
Answer:
a=-2, b=1.
Step-by-step explanation:
1) according to the condition it is required to find the equation of line, which passes through points A(-3;7) and B(4;-7);
2) the equation of this line can be made up using the formula:
![\frac{x-X_A}{X_B-X_A} =\frac{y-Y_A}{Y_B-Y_A};](https://tex.z-dn.net/?f=%5Cfrac%7Bx-X_A%7D%7BX_B-X_A%7D%20%3D%5Cfrac%7By-Y_A%7D%7BY_B-Y_A%7D%3B)
![\frac{x+3}{4+3} =\frac{y-7}{-7-7} ; \ < = > \ x+3=\frac{y-7}{-2}.](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B3%7D%7B4%2B3%7D%20%3D%5Cfrac%7By-7%7D%7B-7-7%7D%20%3B%20%5C%20%3C%20%3D%20%3E%20%5C%20x%2B3%3D%5Cfrac%7By-7%7D%7B-2%7D.)
3) if to re-write the last equation, then
y=-2x+1;
4) finally, a= -2; b=1.
Answer:
6^8
Step-by-step explanation:
6^4 * 6^4
We know that a^b * a^c = a^(b+c)
6^4 * 6^4 = 6^(4+4) = 6^8
Answer:
Claim :The proportion, p, of full-term babies born in their hospital that weigh more than 7 pounds is 36%.
n = 170
x = 56
We will use one sample proportion test
![\widehat{p}=\frac{x}{n}](https://tex.z-dn.net/?f=%5Cwidehat%7Bp%7D%3D%5Cfrac%7Bx%7D%7Bn%7D)
![\widehat{p}=\frac{56}{170}](https://tex.z-dn.net/?f=%5Cwidehat%7Bp%7D%3D%5Cfrac%7B56%7D%7B170%7D)
![\widehat{p}=0.3294](https://tex.z-dn.net/?f=%5Cwidehat%7Bp%7D%3D0.3294)
The proportion, p, of full-term babies born in their hospital that weigh more than 7 pounds is 36%.
![H_0:p \neq 0.36 \\H_a:p= 0.36](https://tex.z-dn.net/?f=H_0%3Ap%20%5Cneq%200.36%20%5C%5CH_a%3Ap%3D%200.36)
Formula of test statistic =![\frac{\widehat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cwidehat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D)
![=\frac{0.3294-0.36}{\sqrt{\frac{0.36(1-0.36)}{170}}}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B0.3294-0.36%7D%7B%5Csqrt%7B%5Cfrac%7B0.36%281-0.36%29%7D%7B170%7D%7D%7D)
=−0.8311
Now refer the p value from the z table
P-Value is .202987 (Calculated by online calculator)
Level of significance α = 0.05
Since p value < α
So we reject the null hypothesis .
Hence the claim is true