Answer:
70º
Step-by-step explanation:
Answer:
Add a picture please :)
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
4x-12=8x+24
we change the signs when we bring 8x on the left hand side so positive 8x becomes -8x.
4x-8x-12=24
we change sign when we bring -12 on the right hand side it becomes +12
4x-8x=24+12
-4x=36
x=36/-4
x=-4
Answer:
Yes. Fertilization increases grape yields by more than 5 pounds.
Step-by-step explanation:
Let f-fertilized and o-old(unfertilized)
#First, we use our data to calculate the standard error:
![SE(\bar y_f-\bar y_o)=\sqrt{\frac{s_f^2}{n_f}+\frac{s_o^2}{n_o}}\\\\=\sqrt{\frac{3.7^2}{44}+\frac{3.4^2}{47}}\\\\=0.7464](https://tex.z-dn.net/?f=SE%28%5Cbar%20y_f-%5Cbar%20y_o%29%3D%5Csqrt%7B%5Cfrac%7Bs_f%5E2%7D%7Bn_f%7D%2B%5Cfrac%7Bs_o%5E2%7D%7Bn_o%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%5Cfrac%7B3.7%5E2%7D%7B44%7D%2B%5Cfrac%7B3.4%5E2%7D%7B47%7D%7D%5C%5C%5C%5C%3D0.7464)
#State both null and alternative hypothesis:
![H_o:\mu_f-\mu_o=0\\\\H_A=\mu_f-\mu_o>0](https://tex.z-dn.net/?f=H_o%3A%5Cmu_f-%5Cmu_o%3D0%5C%5C%5C%5CH_A%3D%5Cmu_f-%5Cmu_o%3E0)
#We determine our degrees of freedom as 87.02(using R), we now compute the t-value as:
![t=\frac{\bar y_f-\bar y_o}{\sqrt{\frac{s_f^2}{n_f}+\frac{s_o^2}{n_o}}}\\\\\\t=\frac{53.4-52.1}{\sqrt{\frac{s_f^2}{n_f}+\frac{s_o^2}{n_o}}}\\\\\\t=\frac{1.3}{0.7464}\\\\t=1.7417\\\\P=P(t_{87.0>1.7417}=1-0.9575=0.0.0425](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B%5Cbar%20y_f-%5Cbar%20y_o%7D%7B%5Csqrt%7B%5Cfrac%7Bs_f%5E2%7D%7Bn_f%7D%2B%5Cfrac%7Bs_o%5E2%7D%7Bn_o%7D%7D%7D%5C%5C%5C%5C%5C%5Ct%3D%5Cfrac%7B53.4-52.1%7D%7B%5Csqrt%7B%5Cfrac%7Bs_f%5E2%7D%7Bn_f%7D%2B%5Cfrac%7Bs_o%5E2%7D%7Bn_o%7D%7D%7D%5C%5C%5C%5C%5C%5Ct%3D%5Cfrac%7B1.3%7D%7B0.7464%7D%5C%5C%5C%5Ct%3D1.7417%5C%5C%5C%5CP%3DP%28t_%7B87.0%3E1.7417%7D%3D1-0.9575%3D0.0.0425)
Since, the p-value is low, we Reject the null hypothesis. The is enough evidence suggesting that grape yields increase by more than 5 pounds than mean yields of unfertilized grapes.
Solve the inequality
6x ≤ -96
divide both sides by 6
x ≤ -16
ANSWER: B) x ≤ -16
Hope this helps! :)