Answer:
32
Step-by-step explanation:
So, lets go over what we know:
The equation to find x is the same on both sides.
Now, lets find this equation:
So, the total area of the two lines on the left side of the triangle are 24.
Lets first subtract the first line from the total of the two lines to find the value of the second line:
24-3
=
21.
Now that we know the value of the 2nd line is 21. lets divide it by the first line(3) to find the scale factor:
21/3
=
7
So the scale factor is 7!
Lets plug this in for x.
We know that the first line is 4.
The second line is 7x bigger than 4.
So we can calculate this as:
7x4
=
28
So x is 28!
This is your answer!
Hope it helps! :)
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) ± 
*
Sa²= 
= 
= 0.5
Sa= 0.707ç
(4.7-6.9) ± 2.306* 
[-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?
Answer:
there was a 16% increase since 2010 to 2012
Step-by-step explanation:
lets say the train had 100 people on it in 2010 and in 2011 it had an 8% increase which then brings you to 8 plus 100 and you get 108.
Now in 2012 there was an increase 8%, so you will add 8 to your previous answer 108 and receive 116. So now there was 16 more passengers in 2012 than in 2010. Transfer the 16 passengers into 16% and you now have your answer.
Answer:
Step-by-step explanation:
4s + 2j = 68........2j = -4s + 68........j = -2s + 34
3s + 3j = 81
3s + 3(-2s + 34) = 81
3s - 6s + 102 = 81
3s - 6s = 81 - 102
-3s = - 21
s = -21/-3
s = 7 <==== shirts cost 7 bucks
j = -2s + 34
j = -2(7) + 34
j = -14 + 34
j = 20 <===== jeans cost 20 bucks
