9514 1404 393
Answer:
a) GH or HG
b) KL
c) YZ or ZY
d) EF
Step-by-step explanation:
A segment or line can be named by naming two points on it in any order. The points naming a line segment are its end points.
A ray is named by first naming its end point, then any other point on the ray.
a) GH or HG
b) KL
c) YZ or ZY
d) EF
Answer:
The answer is 5.
Step-by-step explanation:
(2x+3)(x+1) Use the FOIL METHOD
2x²+2x+3x+3
2x²+5x+3.
Answer:
Step-by-step explanation:
Hello!
The objective of this experiment is to test if two different foam-expanding agents have the same foam expansion capacity
Sample 1 (aqueous film forming foam)
n₁= 5
X[bar]₁= 4.7
S₁= 0.6
Sample 2 (alcohol-type concentrates )
n₂= 5
X[bar]₂= 6.8
S₂= 0.8
Both variables have a normal distribution and σ₁²= σ₂²= σ²= ?
The statistic to use to make the estimation and the hypothesis test is the t-statistic for independent samples.:
t= ![\frac{(X[bar]_1 - X[bar]_2) - (mu_1 - mu_2)}{Sa*\sqrt{\frac{1}{n_1} + \frac{1}{n_2 } } }](https://tex.z-dn.net/?f=%5Cfrac%7B%28X%5Bbar%5D_1%20-%20X%5Bbar%5D_2%29%20-%20%28mu_1%20-%20mu_2%29%7D%7BSa%2A%5Csqrt%7B%5Cfrac%7B1%7D%7Bn_1%7D%20%2B%20%5Cfrac%7B1%7D%7Bn_2%20%7D%20%7D%20%7D)
a) 95% CI
(X[bar]_1 - X[bar]_2) ±
*![Sa* \sqrt{\frac{1}{n_1}+\frac{1}{n_2} }](https://tex.z-dn.net/?f=Sa%2A%20%5Csqrt%7B%5Cfrac%7B1%7D%7Bn_1%7D%2B%5Cfrac%7B1%7D%7Bn_2%7D%20%7D)
Sa²=
=
= 0.5
Sa= 0.707ç
![t_{n_1 + n_2 -2: 1 - \alpha /2} = t_{8; 0.975} = 2.306](https://tex.z-dn.net/?f=t_%7Bn_1%20%2B%20n_2%20-2%3A%201%20-%20%5Calpha%20%2F2%7D%20%3D%20t_%7B8%3B%200.975%7D%20%3D%202.306)
(4.7-6.9) ± 2.306* ![(0.707\sqrt{\frac{1}{5}+\frac{1}{5} })](https://tex.z-dn.net/?f=%280.707%5Csqrt%7B%5Cfrac%7B1%7D%7B5%7D%2B%5Cfrac%7B1%7D%7B5%7D%20%7D%29)
[-4.78; 0.38]
With a 95% confidence level you expect that the interval [-4.78; 0.38] will contain the population mean of the expansion capacity of both agents.
b.
The hypothesis is:
H₀: μ₁ - μ₂= 0
H₁: μ₁ - μ₂≠ 0
α: 0.05
The interval contains the cero, so the decision is to reject the null hypothesis.
<u>Complete question</u>
a. Find a 95% confidence interval on the difference in mean foam expansion of these two agents.
b. Based on the confidence interval, is there evidence to support the claim that there is no difference in mean foam expansion of these two agents?
Jessica solved for the correct value of a, but Sally's review was incorrect.
7x - 5 = 30
* add 5 to both sides
7x = 30 + 5
7x = 35
* divided both sides by 7
(7/7)x = 35/7
<u><em>x = 5</em></u>